NEOS Server Home ************************************************************* NEOS Server Version 5.0 Job# : 2429421 Password : nTkxAOPf Solver : nco:Ipopt:GAMS Start : 2011-09-14 00:07:33 End : 2011-09-14 00:07:39 Host : e032.chtc.wisc.edu Disclaimer: This information is provided without any express or implied warranty. In particular, there is no warranty of any kind concerning the fitness of this information for any particular purpose. ************************************************************* GAMS Rev 237 LEX-LEG 23.7.1 x86_64/Linux 09/14/11 00:07:33 Page 1 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m C o m p i l a t i o n **** LIST OF STRAY NAMES - CHECK DECLARATIONS FOR SPURIOUS COMMAS **** STRAY NAME TOCE OF TYPE VAR COMPILATION TIME = 0.001 SECONDS 3 Mb LEX237-237 Jul 7, 2011 GAMS Rev 237 LEX-LEG 23.7.1 x86_64/Linux 09/14/11 00:07:33 Page 2 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Model Statistics SOLVE CO2 Using NLP From line 306 MODEL STATISTICS BLOCKS OF EQUATIONS 30 SINGLE EQUATIONS 1,263 BLOCKS OF VARIABLES 24 SINGLE VARIABLES 1,381 300 projected NON ZERO ELEMENTS 3,767 NON LINEAR N-Z 1,080 DERIVATIVE POOL 6 CONSTANT POOL 327 CODE LENGTH 5,643 GENERATION TIME = 0.006 SECONDS 4 Mb LEX237-237 Jul 7, 2011 EXECUTION TIME = 0.008 SECONDS 4 Mb LEX237-237 Jul 7, 2011 GAMS Rev 237 LEX-LEG 23.7.1 x86_64/Linux 09/14/11 00:07:33 Page 3 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Solution Report SOLVE CO2 Using NLP From line 306 S O L V E S U M M A R Y MODEL CO2 OBJECTIVE UTILITY TYPE NLP DIRECTION MAXIMIZE SOLVER COINIPOPT FROM LINE 306 **** SOLVER STATUS 1 Normal Completion **** MODEL STATUS 2 Locally Optimal **** OBJECTIVE VALUE 150164.5594 RESOURCE USAGE, LIMIT 1.570 99999.000 ITERATION COUNT, LIMIT 109 99900 EVALUATION ERRORS 0 0 COIN-OR Ipopt Jul 14, 2011 23.7.1 LEX 26788.26792 LEG x86_64/Linux ---- EQU CCTFIRST First period cumulative carbon LOWER LEVEL UPPER MARGINAL 1 . . . 1.5825E-9 ---- EQU CCACCA Cumulative carbon emissions LOWER LEVEL UPPER MARGINAL 2 . . . 7.270E-21 3 . . . 5.442E-21 4 . . . 4.531E-21 5 . . . 3.949E-21 6 . . . 3.533E-21 7 . . . 3.216E-21 8 . . . 2.966E-21 9 . . . 2.762E-21 10 . . . 2.593E-21 11 . . . 2.450E-21 12 . . . 2.327E-21 13 . . . 2.222E-21 14 . . . 2.130E-21 15 . . . 2.050E-21 16 . . . 1.979E-21 17 . . . 1.915E-21 18 . . . 1.859E-21 19 . . . 1.807E-21 20 . . . 1.760E-21 21 . . . 1.715E-21 22 . . . 1.672E-21 23 . . . 1.629E-21 24 . . . 1.585E-21 25 . . . 1.542E-21 26 . . . 1.499E-21 27 . . . 1.456E-21 28 . . . 1.413E-21 29 . . . 1.370E-21 30 . . . 1.327E-21 31 . . . 1.284E-21 32 . . . 1.241E-21 33 . . . 1.198E-21 34 . . . 1.155E-21 35 . . . 1.112E-21 36 . . . 1.069E-21 37 . . . 1.026E-21 38 . . . 9.834E-22 39 . . . 9.406E-22 40 . . . 8.978E-22 41 . . . 8.550E-22 42 . . . 8.122E-22 43 . . . 7.694E-22 44 . . . 7.266E-22 45 . . . 6.838E-22 46 . . . 6.411E-22 47 . . . 5.983E-22 48 . . . 5.555E-22 49 . . . 5.128E-22 50 . . . 4.700E-22 51 . . . 4.273E-22 52 . . . 3.846E-22 53 . . . 3.418E-22 54 . . . 2.991E-22 55 . . . 2.564E-22 56 . . . 2.136E-22 57 . . . 1.709E-22 58 . . . 1.282E-22 59 . . . 8.545E-23 60 . . . 4.272E-23 LOWER LEVEL UPPER MARGINAL ---- EQU UTIL 3.8180E+5 3.8180E+5 3.8180E+5 1.000 UTIL Objective function ---- EQU YY Output net equation LOWER LEVEL UPPER MARGINAL 1 . . . 1171.331 2 . . . 765.926 3 . . . 493.212 4 . . . 318.074 5 . . . 206.510 6 . . . 135.112 7 . . . 89.038 8 . . . 59.050 9 . . . 39.380 10 . . . 26.388 11 . . . 17.758 12 . . . 11.993 13 . . . 8.126 14 . . . 5.522 15 . . . 3.763 16 . . . 2.571 17 . . . 1.761 18 . . . 1.208 19 . . . 0.831 20 . . . 0.572 21 . . . 0.394 22 . . . 0.270 23 . . . 0.186 24 . . . 0.128 25 . . . 0.088 26 . . . 0.061 27 . . . 0.042 28 . . . 0.029 29 . . . 0.020 30 . . . 0.014 31 . . . 0.010 32 . . . 0.007 33 . . . 0.005 34 . . . 0.003 35 . . . 0.002 36 . . . 0.002 37 . . . 0.001 38 . -1.023E-8 . 8.7205E-4 39 . -1.092E-8 . 6.2094E-4 40 . -1.166E-8 . 4.4304E-4 41 . -1.245E-8 . 3.1674E-4 42 . -1.329E-8 . 2.2689E-4 43 . -1.419E-8 . 1.6285E-4 44 . -1.514E-8 . 1.1710E-4 45 . -1.616E-8 . 8.4372E-5 46 . -1.724E-8 . 6.0903E-5 47 . -1.840E-8 . 4.4044E-5 48 . -1.963E-8 . 3.1911E-5 49 . -2.093E-8 . 2.3162E-5 50 . -2.232E-8 . 1.6842E-5 51 . -2.380E-8 . 1.2267E-5 52 . -2.536E-8 . 8.9506E-6 53 . -2.703E-8 . 6.5408E-6 54 . -2.879E-8 . 4.7861E-6 55 . -3.066E-8 . 3.5047E-6 56 . -3.265E-8 . 2.5646E-6 57 . -3.476E-8 . 1.8693E-6 58 . -3.699E-8 . 1.3461E-6 59 . -3.935E-8 . 9.3789E-7 60 . . . 5.8514E-7 ---- EQU YNETEQ Output net of damages equation LOWER LEVEL UPPER MARGINAL 1 . . . EPS 2 . . . EPS 3 . . . EPS 4 . . . EPS 5 . . . EPS 6 . . . EPS 7 . . . EPS 8 . . . EPS 9 . . . EPS 10 . . . EPS 11 . . . EPS 12 . . . EPS 13 . . . EPS 14 . . . EPS 15 . . . EPS 16 . . . EPS 17 . . . EPS 18 . . . EPS 19 . . . EPS 20 . . . EPS 21 . . . EPS 22 . . . EPS 23 . . . EPS 24 . . . EPS 25 . . . EPS 26 . . . EPS 27 . . . EPS 28 . . . EPS 29 . . . EPS 30 . . . EPS 31 . . . EPS 32 . . . EPS 33 . . . EPS 34 . . . EPS 35 . . . EPS 36 . . . EPS 37 . . . EPS 38 . . . EPS 39 . . . EPS 40 . . . EPS 41 . . . EPS 42 . . . EPS 43 . . . EPS 44 . . . EPS 45 . . . EPS 46 . . . EPS 47 . . . EPS 48 . . . EPS 49 . . . EPS 50 . . . EPS 51 . . . EPS 52 . . . EPS 53 . . . EPS 54 . . . EPS 55 . . . EPS 56 . . . EPS 57 . . . EPS 58 . . . EPS 59 . . . EPS 60 . . . EPS ---- EQU YGROSSEQ Output gross equation LOWER LEVEL UPPER MARGINAL 1 . . . 1169.558 2 . . . 763.742 3 . . . 491.118 4 . . . 316.199 5 . . . 204.902 6 . . . 133.773 7 . . . 87.950 8 . . . 58.182 9 . . . 38.697 10 . . . 25.858 11 . . . 17.351 12 . . . 11.684 13 . . . 7.894 14 . . . 5.350 15 . . . 3.636 16 . . . 2.477 17 . . . 1.692 18 . . . 1.159 19 . . . 0.795 20 . . . 0.546 21 . . . 0.376 22 . . . 0.258 23 . . . 0.178 24 . . . 0.123 25 . . . 0.085 26 . . . 0.059 27 . . . 0.041 28 . . . 0.028 29 . . . 0.020 30 . . . 0.014 31 . . . 0.010 32 . . . 0.007 33 . . . 0.005 34 . . . 0.003 35 . . . 0.002 36 . . . 0.002 37 . . . 0.001 38 . . . 8.5103E-4 39 . . . 6.0643E-4 40 . . . 4.3300E-4 41 . . . 3.0978E-4 42 . . . 2.2205E-4 43 . . . 1.5948E-4 44 . . . 1.1476E-4 45 . . . 8.2730E-5 46 . . . 5.9752E-5 47 . . . 4.3236E-5 48 . . . 3.1342E-5 49 . . . 2.2761E-5 50 . . . 1.6558E-5 51 . . . 1.2067E-5 52 . . . 8.8085E-6 53 . . . 6.4399E-6 54 . . . 4.7143E-6 55 . . . 3.4535E-6 56 . . . 2.5282E-6 57 . . . 1.8435E-6 58 . . . 1.3280E-6 59 . . . 9.2562E-7 60 . . . 5.8376E-7 ---- EQU DAMEQ Damage equation LOWER LEVEL UPPER MARGINAL 1 . . . EPS 2 . . . EPS 3 . . . EPS 4 . . . EPS 5 . . . EPS 6 . . . EPS 7 . . . EPS 8 . . . EPS 9 . . . EPS 10 . . . EPS 11 . . . EPS 12 . . . EPS 13 . . . EPS 14 . . . EPS 15 . . . EPS 16 . . . EPS 17 . . . EPS 18 . . . EPS 19 . . . EPS 20 . . . EPS 21 . . . EPS 22 . . . EPS 23 . . . EPS 24 . . . EPS 25 . . . EPS 26 . . . EPS 27 . . . EPS 28 . . . EPS 29 . . . EPS 30 . . . EPS 31 . . . EPS 32 . . . EPS 33 . . . EPS 34 . . . EPS 35 . . . EPS 36 . . . EPS 37 . . . EPS 38 . . . EPS 39 . . . EPS 40 . . . EPS 41 . . . EPS 42 . . . EPS 43 . . . EPS 44 . . . EPS 45 . . . EPS 46 . . . EPS 47 . . . EPS 48 . . . EPS 49 . . . EPS 50 . . . EPS 51 . . . EPS 52 . . . EPS 53 . . . EPS 54 . . . EPS 55 . . . EPS 56 . . . EPS 57 . . . EPS 58 . . . EPS 59 . . . EPS 60 . . . EPS ---- EQU ABATEEQ Cost of emissions reductions equation LOWER LEVEL UPPER MARGINAL 1 . . . EPS 2 . . . EPS 3 . . . EPS 4 . . . EPS 5 . . . EPS 6 . . . EPS 7 . . . EPS 8 . . . EPS 9 . . . EPS 10 . . . EPS 11 . . . EPS 12 . . . EPS 13 . . . EPS 14 . . . EPS 15 . . . EPS 16 . . . EPS 17 . . . EPS 18 . . . EPS 19 . . . EPS 20 . . . EPS 21 . . . EPS 22 . . . EPS 23 . . . EPS 24 . . . EPS 25 . . . EPS 26 . . . EPS 27 . . . EPS 28 . . . EPS 29 . . . EPS 30 . . . EPS 31 . . . EPS 32 . . . EPS 33 . . . EPS 34 . . . EPS 35 . . . EPS 36 . . . EPS 37 . . . EPS 38 . 1.0408E-8 . EPS 39 . 1.1107E-8 . EPS 40 . 1.1853E-8 . EPS 41 . 1.2649E-8 . EPS 42 . 1.3497E-8 . EPS 43 . 1.4401E-8 . EPS 44 . 1.5364E-8 . EPS 45 . 1.6389E-8 . EPS 46 . 1.7480E-8 . EPS 47 . 1.8642E-8 . EPS 48 . 1.9877E-8 . EPS 49 . 2.1191E-8 . EPS 50 . 2.2587E-8 . EPS 51 . 2.4071E-8 . EPS 52 . 2.5646E-8 . EPS 53 . 2.7318E-8 . EPS 54 . 2.9093E-8 . EPS 55 . 3.0975E-8 . EPS 56 . 3.2970E-8 . EPS 57 . 3.5085E-8 . EPS 58 . 3.7325E-8 . EPS 59 . 3.9696E-8 . EPS 60 . . . EPS ---- EQU CC Consumption equation LOWER LEVEL UPPER MARGINAL 1 . . . 1163.668 2 . . . 768.654 3 . . . 497.827 4 . . . 322.167 5 . . . 209.618 6 . . . 137.327 7 . . . 90.569 8 . . . 60.092 9 . . . 40.081 10 . . . 26.859 11 . . . 18.073 12 . . . 12.203 13 . . . 8.266 14 . . . 5.615 15 . . . 3.824 16 . . . 2.611 17 . . . 1.787 18 . . . 1.226 19 . . . 0.842 20 . . . 0.580 21 . . . 0.399 22 . . . 0.274 23 . . . 0.188 24 . . . 0.129 25 . . . 0.089 26 . . . 0.062 27 . . . 0.043 28 . . . 0.030 29 . . . 0.021 30 . . . 0.014 31 . . . 0.010 32 . . . 0.007 33 . . . 0.005 34 . . . 0.003 35 . . . 0.002 36 . . . 0.002 37 . . . 0.001 38 . . . 8.7898E-4 39 . . . 6.2567E-4 40 . . . 4.4627E-4 41 . . . 3.1895E-4 42 . . . 2.2840E-4 43 . . . 1.6388E-4 44 . . . 1.1781E-4 45 . . . 8.4855E-5 46 . . . 6.1233E-5 47 . . . 4.4269E-5 48 . . . 3.2064E-5 49 . . . 2.3266E-5 50 . . . 1.6913E-5 51 . . . 1.2316E-5 52 . . . 8.9849E-6 53 . . . 6.5659E-6 54 . . . 4.8065E-6 55 . . . 3.5245E-6 56 . . . 2.5888E-6 57 . . . 1.9047E-6 58 . . . 1.4037E-6 59 . . . 1.0361E-6 60 . . . 7.5018E-7 ---- EQU KK Capital balance equation LOWER LEVEL UPPER MARGINAL 1 -INF . . 119.850 2 -INF . . 75.625 3 -INF . . 47.685 4 -INF . . 30.356 5 -INF . . 19.549 6 -INF . . 12.726 7 -INF . . 8.361 8 -INF . . 5.536 9 -INF . . 3.689 10 -INF . . 2.472 11 -INF . . 1.664 12 -INF . . 1.125 13 -INF . . 0.763 14 -INF . . 0.519 15 -INF . . 0.355 16 -INF . . 0.243 17 -INF . . 0.167 18 -INF . . 0.115 19 -INF . . 0.079 20 -INF . . 0.054 21 -INF . . 0.037 22 -INF . . 0.026 23 -INF . . 0.018 24 -INF . . 0.012 25 -INF . . 0.008 26 -INF . . 0.006 27 -INF . . 0.004 28 -INF . . 0.003 29 -INF . . 0.002 30 -INF . . 0.001 31 -INF . . 9.6039E-4 32 -INF . . 6.7451E-4 33 -INF . . 4.7479E-4 34 -INF . . 3.3495E-4 35 -INF . . 2.3681E-4 36 -INF . . 1.6778E-4 37 -INF . . 1.1912E-4 38 -INF . . 8.4748E-5 39 -INF . . 6.0417E-5 40 -INF . . 4.3158E-5 41 -INF . . 3.0891E-5 42 -INF . . 2.2154E-5 43 -INF . . 1.5919E-5 44 -INF . . 1.1460E-5 45 -INF . . 8.2663E-6 46 -INF . . 5.9735E-6 47 -INF . . 4.3247E-6 48 -INF . . 3.1367E-6 49 -INF . . 2.2791E-6 50 -INF . . 1.6588E-6 51 -INF . . 1.2093E-6 52 -INF . . 8.8288E-7 53 -INF . . 6.4517E-7 54 -INF . . 4.7138E-7 55 -INF . . 3.4343E-7 56 -INF . . 2.4789E-7 57 -INF . . 1.7438E-7 58 -INF . . 1.1420E-7 59 -INF . . 5.8965E-8 60 -INF -1.158E+5 . -2.16E-25 ---- EQU KK0 Initial condition for capital LOWER LEVEL UPPER MARGINAL 1 137.000 137.000 137.000 183.833 ---- EQU KC Terminal condition for capital LOWER LEVEL UPPER MARGINAL 60 -INF -5738.559 . 2.599E-23 ---- EQU CPCE Per capita consumption definition LOWER LEVEL UPPER MARGINAL 1 . . . EPS 2 . . . EPS 3 . . . EPS 4 . . . EPS 5 . . . EPS 6 . . . EPS 7 . . . EPS 8 . . . EPS 9 . . . EPS 10 . . . EPS 11 . . . EPS 12 . . . EPS 13 . . . EPS 14 . . . EPS 15 . . . EPS 16 . . . EPS 17 . . . EPS 18 . . . EPS 19 . . . EPS 20 . . . EPS 21 . . . EPS 22 . . . EPS 23 . . . EPS 24 . . . EPS 25 . . . EPS 26 . . . EPS 27 . . . EPS 28 . . . EPS 29 . . . EPS 30 . . . EPS 31 . . . EPS 32 . . . EPS 33 . . . EPS 34 . . . EPS 35 . . . EPS 36 . . . EPS 37 . . . EPS 38 . . . EPS 39 . . . EPS 40 . . . EPS 41 . . . EPS 42 . . . EPS 43 . . . EPS 44 . . . EPS 45 . . . EPS 46 . . . EPS 47 . . . EPS 48 . . . EPS 49 . . . EPS 50 . . . EPS 51 . . . EPS 52 . . . EPS 53 . . . EPS 54 . . . EPS 55 . . . EPS 56 . . . EPS 57 . . . EPS 58 . . . EPS 59 . . . EPS 60 . . . EPS ---- EQU PCYE Per capita income definition LOWER LEVEL UPPER MARGINAL 1 . . . EPS 2 . . . EPS 3 . . . EPS 4 . . . EPS 5 . . . EPS 6 . . . EPS 7 . . . EPS 8 . . . EPS 9 . . . EPS 10 . . . EPS 11 . . . EPS 12 . . . EPS 13 . . . EPS 14 . . . EPS 15 . . . EPS 16 . . . EPS 17 . . . EPS 18 . . . EPS 19 . . . EPS 20 . . . EPS 21 . . . EPS 22 . . . EPS 23 . . . EPS 24 . . . EPS 25 . . . EPS 26 . . . EPS 27 . . . EPS 28 . . . EPS 29 . . . EPS 30 . . . EPS 31 . . . EPS 32 . . . EPS 33 . . . EPS 34 . . . EPS 35 . . . EPS 36 . . . EPS 37 . . . EPS 38 . . . EPS 39 . . . EPS 40 . . . EPS 41 . . . EPS 42 . . . EPS 43 . . . EPS 44 . . . EPS 45 . . . EPS 46 . . . EPS 47 . . . EPS 48 . . . EPS 49 . . . EPS 50 . . . EPS 51 . . . EPS 52 . . . EPS 53 . . . EPS 54 . . . EPS 55 . . . EPS 56 . . . EPS 57 . . . EPS 58 . . . EPS 59 . . . EPS 60 . . . EPS ---- EQU EE Emissions equation LOWER LEVEL UPPER MARGINAL 1 11.000 11.000 11.000 -3.215 2 9.900 9.900 9.900 -3.163 3 8.910 8.910 8.910 -2.598 4 8.019 8.019 8.019 -2.100 5 7.217 7.217 7.217 -1.679 6 6.495 6.495 6.495 -1.330 7 5.846 5.846 5.846 -1.048 8 5.261 5.261 5.261 -0.821 9 4.735 4.735 4.735 -0.641 10 4.262 4.262 4.262 -0.499 11 3.835 3.835 3.835 -0.388 12 3.452 3.452 3.452 -0.301 13 3.107 3.107 3.107 -0.233 14 2.796 2.796 2.796 -0.181 15 2.516 2.516 2.516 -0.141 16 2.265 2.265 2.265 -0.109 17 2.038 2.038 2.038 -0.085 18 1.834 1.834 1.834 -0.066 19 1.651 1.651 1.651 -0.052 20 1.486 1.486 1.486 -0.040 21 1.337 1.337 1.337 -0.031 22 1.204 1.204 1.204 -0.024 23 1.083 1.083 1.083 -0.019 24 0.975 0.975 0.975 -0.015 25 0.877 0.877 0.877 -0.011 26 0.790 0.790 0.790 -0.009 27 0.711 0.711 0.711 -0.007 28 0.640 0.640 0.640 -0.005 29 0.576 0.576 0.576 -0.004 30 0.518 0.518 0.518 -0.003 31 0.466 0.466 0.466 -0.002 32 0.420 0.420 0.420 -0.002 33 0.378 0.378 0.378 -0.002 34 0.340 0.340 0.340 -0.001 35 0.306 0.306 0.306 -9.202E-4 36 0.275 0.275 0.275 -7.183E-4 37 0.248 0.248 0.248 -5.610E-4 38 0.223 0.223 0.223 -4.384E-4 39 0.201 0.201 0.201 -3.427E-4 40 0.181 0.181 0.181 -2.680E-4 41 0.163 0.163 0.163 -2.097E-4 42 0.146 0.146 0.146 -1.641E-4 43 0.132 0.132 0.132 -1.284E-4 44 0.119 0.119 0.119 -1.004E-4 45 0.107 0.107 0.107 -7.851E-5 46 0.096 0.096 0.096 -6.133E-5 47 0.086 0.086 0.086 -4.784E-5 48 0.078 0.078 0.078 -3.724E-5 49 0.070 0.070 0.070 -2.890E-5 50 0.063 0.063 0.063 -2.232E-5 51 0.057 0.057 0.057 -1.713E-5 52 0.051 0.051 0.051 -1.302E-5 53 0.046 0.046 0.046 -9.751E-6 54 0.041 0.041 0.041 -7.148E-6 55 0.037 0.037 0.037 -5.071E-6 56 0.033 0.033 0.033 -3.415E-6 57 0.030 0.030 0.030 -2.110E-6 58 0.027 0.027 0.027 -1.119E-6 59 0.024 0.024 0.024 -4.387E-7 60 0.022 0.022 0.022 2.150E-23 ---- EQU SEQ Savings rate equation LOWER LEVEL UPPER MARGINAL 1 . . . -1936.027 2 . . . 861.920 3 . . . 1783.439 4 . . . 1899.055 5 . . . 1704.734 6 . . . 1419.982 7 . . . 1136.676 8 . . . 888.848 9 . . . 684.995 10 . . . 523.046 11 . . . 397.279 12 . . . 300.017 13 . . . 225.496 14 . . . 168.762 15 . . . 125.768 16 . . . 93.321 17 . . . 68.964 18 . . . 50.866 19 . . . 37.741 20 . . . 28.808 21 . . . 22.719 22 . . . 17.073 23 . . . 12.776 24 . . . 9.544 25 . . . 7.127 26 . . . 5.325 27 . . . 3.981 28 . . . 2.980 29 . . . 2.232 30 . . . 1.673 31 . . . 1.255 32 . . . 0.942 33 . . . 0.707 34 . . . 0.531 35 . . . 0.399 36 . . . 0.300 37 . . . 0.225 38 . . . 0.169 39 . . . 0.127 40 . . . 0.095 41 . . . 0.072 42 . . . 0.054 43 . . . 0.040 44 . . . 0.030 45 . . . 0.023 46 . . . 0.017 47 . . . 0.013 48 . . . 0.009 49 . . . 0.007 50 . . . 0.005 51 . . . 0.004 52 . . . 0.003 53 . . . 0.002 54 . . . 0.002 55 . . . 0.002 56 . . . 0.003 57 . . . 0.005 58 . . . 0.008 59 . . . 0.015 60 . . . 0.027 ---- EQU RIEQ Interest rate equation LOWER LEVEL UPPER MARGINAL 1 -0.065 -0.065 -0.065 EPS 2 -0.065 -0.065 -0.065 EPS 3 -0.065 -0.065 -0.065 EPS 4 -0.065 -0.065 -0.065 EPS 5 -0.065 -0.065 -0.065 EPS 6 -0.065 -0.065 -0.065 EPS 7 -0.065 -0.065 -0.065 EPS 8 -0.065 -0.065 -0.065 EPS 9 -0.065 -0.065 -0.065 EPS 10 -0.065 -0.065 -0.065 EPS 11 -0.065 -0.065 -0.065 EPS 12 -0.065 -0.065 -0.065 EPS 13 -0.065 -0.065 -0.065 EPS 14 -0.065 -0.065 -0.065 EPS 15 -0.065 -0.065 -0.065 EPS 16 -0.065 -0.065 -0.065 EPS 17 -0.065 -0.065 -0.065 EPS 18 -0.065 -0.065 -0.065 EPS 19 -0.065 -0.065 -0.065 EPS 20 -0.065 -0.065 -0.065 EPS 21 -0.065 -0.065 -0.065 EPS 22 -0.065 -0.065 -0.065 EPS 23 -0.065 -0.065 -0.065 EPS 24 -0.065 -0.065 -0.065 EPS 25 -0.065 -0.065 -0.065 EPS 26 -0.065 -0.065 -0.065 EPS 27 -0.065 -0.065 -0.065 EPS 28 -0.065 -0.065 -0.065 EPS 29 -0.065 -0.065 -0.065 EPS 30 -0.065 -0.065 -0.065 EPS 31 -0.065 -0.065 -0.065 EPS 32 -0.065 -0.065 -0.065 EPS 33 -0.065 -0.065 -0.065 EPS 34 -0.065 -0.065 -0.065 EPS 35 -0.065 -0.065 -0.065 EPS 36 -0.065 -0.065 -0.065 EPS 37 -0.065 -0.065 -0.065 EPS 38 -0.065 -0.065 -0.065 EPS 39 -0.065 -0.065 -0.065 EPS 40 -0.065 -0.065 -0.065 EPS 41 -0.065 -0.065 -0.065 EPS 42 -0.065 -0.065 -0.065 EPS 43 -0.065 -0.065 -0.065 EPS 44 -0.065 -0.065 -0.065 EPS 45 -0.065 -0.065 -0.065 EPS 46 -0.065 -0.065 -0.065 EPS 47 -0.065 -0.065 -0.065 EPS 48 -0.065 -0.065 -0.065 EPS 49 -0.065 -0.065 -0.065 EPS 50 -0.065 -0.065 -0.065 EPS 51 -0.065 -0.065 -0.065 EPS 52 -0.065 -0.065 -0.065 EPS 53 -0.065 -0.065 -0.065 EPS 54 -0.065 -0.065 -0.065 EPS 55 -0.065 -0.065 -0.065 EPS 56 -0.065 -0.065 -0.065 EPS 57 -0.065 -0.065 -0.065 EPS 58 -0.065 -0.065 -0.065 EPS 59 -0.065 -0.065 -0.065 EPS 60 -0.065 -0.065 -0.065 EPS ---- EQU FORCE Radiative forcing equation LOWER LEVEL UPPER MARGINAL 1 -0.060 -0.060 -0.060 EPS 2 -0.024 -0.024 -0.024 -162.038 3 0.012 0.012 0.012 -147.992 4 0.048 0.048 0.048 -130.476 5 0.084 0.084 0.084 -112.270 6 0.120 0.120 0.120 -94.906 7 0.156 0.156 0.156 -79.147 8 0.192 0.192 0.192 -65.299 9 0.228 0.228 0.228 -53.398 10 0.264 0.264 0.264 -43.336 11 0.300 0.300 0.300 -34.924 12 0.300 0.300 0.300 -27.947 13 0.300 0.300 0.300 -22.234 14 0.300 0.300 0.300 -17.599 15 0.300 0.300 0.300 -13.864 16 0.300 0.300 0.300 -10.868 17 0.300 0.300 0.300 -8.474 18 0.300 0.300 0.300 -6.569 19 0.300 0.300 0.300 -5.057 20 0.300 0.300 0.300 -3.865 21 0.300 0.300 0.300 -2.932 22 0.300 0.300 0.300 -2.215 23 0.300 0.300 0.300 -1.671 24 0.300 0.300 0.300 -1.262 25 0.300 0.300 0.300 -0.954 26 0.300 0.300 0.300 -0.723 27 0.300 0.300 0.300 -0.549 28 0.300 0.300 0.300 -0.418 29 0.300 0.300 0.300 -0.319 30 0.300 0.300 0.300 -0.244 31 0.300 0.300 0.300 -0.186 32 0.300 0.300 0.300 -0.143 33 0.300 0.300 0.300 -0.109 34 0.300 0.300 0.300 -0.084 35 0.300 0.300 0.300 -0.065 36 0.300 0.300 0.300 -0.050 37 0.300 0.300 0.300 -0.038 38 0.300 0.300 0.300 -0.030 39 0.300 0.300 0.300 -0.023 40 0.300 0.300 0.300 -0.018 41 0.300 0.300 0.300 -0.014 42 0.300 0.300 0.300 -0.011 43 0.300 0.300 0.300 -0.008 44 0.300 0.300 0.300 -0.006 45 0.300 0.300 0.300 -0.005 46 0.300 0.300 0.300 -0.004 47 0.300 0.300 0.300 -0.003 48 0.300 0.300 0.300 -0.002 49 0.300 0.300 0.300 -0.002 50 0.300 0.300 0.300 -0.001 51 0.300 0.300 0.300 -0.001 52 0.300 0.300 0.300 -8.500E-4 53 0.300 0.300 0.300 -6.600E-4 54 0.300 0.300 0.300 -5.103E-4 55 0.300 0.300 0.300 -3.912E-4 56 0.300 0.300 0.300 -2.948E-4 57 0.300 0.300 0.300 -2.148E-4 58 0.300 0.300 0.300 -1.457E-4 59 0.300 0.300 0.300 -8.313E-5 60 0.300 0.300 0.300 -2.381E-5 ---- EQU MMAT0 Starting atmospheric concentration LOWER LEVEL UPPER MARGINAL 1 808.900 808.900 808.900 -2.792 ---- EQU MMAT Atmospheric concentration equation LOWER LEVEL UPPER MARGINAL 2 . . . -3.215 3 . . . -3.163 4 . . . -2.598 5 . . . -2.100 6 . . . -1.679 7 . . . -1.330 8 . . . -1.048 9 . . . -0.821 10 . . . -0.641 11 . . . -0.499 12 . . . -0.388 13 . . . -0.301 14 . . . -0.233 15 . . . -0.181 16 . . . -0.141 17 . . . -0.109 18 . . . -0.085 19 . . . -0.066 20 . . . -0.052 21 . . . -0.040 22 . . . -0.031 23 . . . -0.024 24 . . . -0.019 25 . . . -0.015 26 . . . -0.011 27 . . . -0.009 28 . . . -0.007 29 . . . -0.005 30 . . . -0.004 31 . . . -0.003 32 . . . -0.002 33 . . . -0.002 34 . . . -0.002 35 . . . -0.001 36 . . . -9.202E-4 37 . . . -7.183E-4 38 . . . -5.610E-4 39 . . . -4.384E-4 40 . . . -3.427E-4 41 . . . -2.680E-4 42 . . . -2.097E-4 43 . . . -1.641E-4 44 . . . -1.284E-4 45 . . . -1.004E-4 46 . . . -7.851E-5 47 . . . -6.133E-5 48 . . . -4.784E-5 49 . . . -3.724E-5 50 . . . -2.890E-5 51 . . . -2.232E-5 52 . . . -1.713E-5 53 . . . -1.302E-5 54 . . . -9.751E-6 55 . . . -7.148E-6 56 . . . -5.071E-6 57 . . . -3.415E-6 58 . . . -2.110E-6 59 . . . -1.119E-6 60 . . . -4.387E-7 ---- EQU MMATAVEQ Average concentrations equation LOWER LEVEL UPPER MARGINAL 1 . . . 1.877E-22 2 . . . -1.003 3 . . . -0.872 4 . . . -0.732 5 . . . -0.600 6 . . . -0.485 7 . . . -0.387 8 . . . -0.307 9 . . . -0.241 10 . . . -0.189 11 . . . -0.148 12 . . . -0.115 13 . . . -0.089 14 . . . -0.069 15 . . . -0.053 16 . . . -0.041 17 . . . -0.032 18 . . . -0.025 19 . . . -0.019 20 . . . -0.015 21 . . . -0.012 22 . . . -0.009 23 . . . -0.007 24 . . . -0.006 25 . . . -0.004 26 . . . -0.003 27 . . . -0.003 28 . . . -0.002 29 . . . -0.002 30 . . . -0.001 31 . . . -9.418E-4 32 . . . -7.317E-4 33 . . . -5.690E-4 34 . . . -4.428E-4 35 . . . -3.449E-4 36 . . . -2.688E-4 37 . . . -2.097E-4 38 . . . -1.637E-4 39 . . . -1.278E-4 40 . . . -0.999E-4 41 . . . -7.813E-5 42 . . . -6.114E-5 43 . . . -4.788E-5 44 . . . -3.751E-5 45 . . . -2.941E-5 46 . . . -2.307E-5 47 . . . -1.811E-5 48 . . . -1.422E-5 49 . . . -1.117E-5 50 . . . -8.770E-6 51 . . . -6.887E-6 52 . . . -5.403E-6 53 . . . -4.230E-6 54 . . . -3.296E-6 55 . . . -2.547E-6 56 . . . -1.934E-6 57 . . . -1.419E-6 58 . . . -9.697E-7 59 . . . -5.572E-7 60 . . . -3.203E-7 ---- EQU MMU0 Initial shallow ocean concentration LOWER LEVEL UPPER MARGINAL 1 1255.000 1255.000 1255.000 -1.148 ---- EQU MMU Shallow ocean concentration LOWER LEVEL UPPER MARGINAL 2 . . . -0.980 3 . . . -0.788 4 . . . -0.627 5 . . . -0.495 6 . . . -0.389 7 . . . -0.305 8 . . . -0.238 9 . . . -0.185 10 . . . -0.144 11 . . . -0.112 12 . . . -0.087 13 . . . -0.067 14 . . . -0.052 15 . . . -0.041 16 . . . -0.032 17 . . . -0.025 18 . . . -0.019 19 . . . -0.015 20 . . . -0.012 21 . . . -0.009 22 . . . -0.007 23 . . . -0.005 24 . . . -0.004 25 . . . -0.003 26 . . . -0.003 27 . . . -0.002 28 . . . -0.002 29 . . . -0.001 30 . . . -9.297E-4 31 . . . -7.242E-4 32 . . . -5.645E-4 33 . . . -4.403E-4 34 . . . -3.436E-4 35 . . . -2.683E-4 36 . . . -2.096E-4 37 . . . -1.637E-4 38 . . . -1.280E-4 39 . . . -1.000E-4 40 . . . -7.818E-5 41 . . . -6.108E-5 42 . . . -4.770E-5 43 . . . -3.721E-5 44 . . . -2.898E-5 45 . . . -2.252E-5 46 . . . -1.745E-5 47 . . . -1.347E-5 48 . . . -1.033E-5 49 . . . -7.866E-6 50 . . . -5.927E-6 51 . . . -4.403E-6 52 . . . -3.210E-6 53 . . . -2.279E-6 54 . . . -1.561E-6 55 . . . -1.015E-6 56 . . . -6.125E-7 57 . . . -3.289E-7 58 . . . -1.452E-7 59 . . . -4.265E-8 60 . . . 1.090E-22 ---- EQU MML0 Initial lower ocean concentration LOWER LEVEL UPPER MARGINAL 1 18365.000 18365.000 18365.000 -0.014 ---- EQU MML Lower ocean concentration LOWER LEVEL UPPER MARGINAL 2 . . . -0.011 3 . . . -0.009 4 . . . -0.007 5 . . . -0.005 6 . . . -0.004 7 . . . -0.003 8 . . . -0.003 9 . . . -0.002 10 . . . -0.002 11 . . . -0.001 12 . . . -9.347E-4 13 . . . -7.270E-4 14 . . . -5.657E-4 15 . . . -4.402E-4 16 . . . -3.426E-4 17 . . . -2.665E-4 18 . . . -2.072E-4 19 . . . -1.610E-4 20 . . . -1.250E-4 21 . . . -9.706E-5 22 . . . -7.535E-5 23 . . . -5.853E-5 24 . . . -4.549E-5 25 . . . -3.537E-5 26 . . . -2.752E-5 27 . . . -2.143E-5 28 . . . -1.669E-5 29 . . . -1.301E-5 30 . . . -1.014E-5 31 . . . -7.905E-6 32 . . . -6.164E-6 33 . . . -4.806E-6 34 . . . -3.746E-6 35 . . . -2.918E-6 36 . . . -2.272E-6 37 . . . -1.767E-6 38 . . . -1.372E-6 39 . . . -1.063E-6 40 . . . -8.221E-7 41 . . . -6.336E-7 42 . . . -4.863E-7 43 . . . -3.715E-7 44 . . . -2.820E-7 45 . . . -2.124E-7 46 . . . -1.585E-7 47 . . . -1.168E-7 48 . . . -8.488E-8 49 . . . -6.054E-8 50 . . . -4.218E-8 51 . . . -2.854E-8 52 . . . -1.859E-8 53 . . . -1.152E-8 54 . . . -6.670E-9 55 . . . -3.514E-9 56 . . . -1.609E-9 57 . . . -5.85E-10 58 . . . -1.33E-10 59 . . . 1.380E-23 60 . . . 6.738E-24 ---- EQU TATMEQ Temperature-climate equation for atmosphere LOWER LEVEL UPPER MARGINAL 2 . . . -736.538 3 . . . -672.693 4 . . . -593.071 5 . . . -510.319 6 . . . -431.392 7 . . . -359.760 8 . . . -296.812 9 . . . -242.720 10 . . . -196.980 11 . . . -158.746 12 . . . -127.030 13 . . . -101.064 14 . . . -79.997 15 . . . -63.017 16 . . . -49.398 17 . . . -38.518 18 . . . -29.857 19 . . . -22.988 20 . . . -17.567 21 . . . -13.329 22 . . . -10.066 23 . . . -7.595 24 . . . -5.735 25 . . . -4.338 26 . . . -3.288 27 . . . -2.497 28 . . . -1.901 29 . . . -1.449 30 . . . -1.107 31 . . . -0.847 32 . . . -0.649 33 . . . -0.498 34 . . . -0.382 35 . . . -0.294 36 . . . -0.226 37 . . . -0.174 38 . . . -0.134 39 . . . -0.104 40 . . . -0.080 41 . . . -0.062 42 . . . -0.048 43 . . . -0.037 44 . . . -0.029 45 . . . -0.022 46 . . . -0.017 47 . . . -0.014 48 . . . -0.011 49 . . . -0.008 50 . . . -0.006 51 . . . -0.005 52 . . . -0.004 53 . . . -0.003 54 . . . -0.002 55 . . . -0.002 56 . . . -0.001 57 . . . -9.762E-4 58 . . . -6.623E-4 59 . . . -3.779E-4 60 . . . -1.082E-4 ---- EQU TATM0EQ Initial condition for atmospheric temperature LOWER LEVEL UPPER MARGINAL 1 0.731 0.731 0.731 -763.341 ---- EQU TOCEANEQ Temperature-climate equation for lower oceans LOWER LEVEL UPPER MARGINAL 2 . . . -219.446 3 . . . -184.261 4 . . . -152.756 5 . . . -125.342 6 . . . -101.969 7 . . . -82.342 8 . . . -66.055 9 . . . -52.669 10 . . . -41.756 11 . . . -32.925 12 . . . -25.833 13 . . . -20.171 14 . . . -15.675 15 . . . -12.122 16 . . . -9.328 17 . . . -7.143 18 . . . -5.444 19 . . . -4.134 20 . . . -3.131 21 . . . -2.370 22 . . . -1.795 23 . . . -1.362 24 . . . -1.035 25 . . . -0.788 26 . . . -0.602 27 . . . -0.460 28 . . . -0.352 29 . . . -0.270 30 . . . -0.207 31 . . . -0.159 32 . . . -0.122 33 . . . -0.094 34 . . . -0.073 35 . . . -0.056 36 . . . -0.043 37 . . . -0.033 38 . . . -0.026 39 . . . -0.020 40 . . . -0.016 41 . . . -0.012 42 . . . -0.009 43 . . . -0.007 44 . . . -0.006 45 . . . -0.004 46 . . . -0.003 47 . . . -0.003 48 . . . -0.002 49 . . . -0.002 50 . . . -0.001 51 . . . -8.580E-4 52 . . . -6.348E-4 53 . . . -4.598E-4 54 . . . -3.228E-4 55 . . . -2.163E-4 56 . . . -1.346E-4 57 . . . -7.385E-5 58 . . . -3.173E-5 59 . . . -7.144E-6 60 . . . 4.119E-20 ---- EQU TOCEAN0EQ Initial condition for lower ocean temperature LOWER LEVEL UPPER MARGINAL 1 0.007 0.007 0.007 -257.085 ---- EQU PERIODUEQ Instantaneous utility function equation LOWER LEVEL UPPER MARGINAL 1 1.000 1.000 1.000 335.773 2 1.000 1.000 1.000 316.686 3 1.000 1.000 1.000 289.492 4 1.000 1.000 1.000 259.533 5 1.000 1.000 1.000 229.757 6 1.000 1.000 1.000 201.694 7 1.000 1.000 1.000 176.051 8 1.000 1.000 1.000 153.069 9 1.000 1.000 1.000 132.727 10 1.000 1.000 1.000 114.872 11 1.000 1.000 1.000 99.289 12 1.000 1.000 1.000 85.740 13 1.000 1.000 1.000 73.993 14 1.000 1.000 1.000 63.826 15 1.000 1.000 1.000 55.038 16 1.000 1.000 1.000 47.450 17 1.000 1.000 1.000 40.902 18 1.000 1.000 1.000 35.253 19 1.000 1.000 1.000 30.382 20 1.000 1.000 1.000 26.183 21 1.000 1.000 1.000 22.563 22 1.000 1.000 1.000 19.443 23 1.000 1.000 1.000 16.754 24 1.000 1.000 1.000 14.437 25 1.000 1.000 1.000 12.440 26 1.000 1.000 1.000 10.719 27 1.000 1.000 1.000 9.237 28 1.000 1.000 1.000 7.959 29 1.000 1.000 1.000 6.858 30 1.000 1.000 1.000 5.909 31 1.000 1.000 1.000 5.092 32 1.000 1.000 1.000 4.388 33 1.000 1.000 1.000 3.781 34 1.000 1.000 1.000 3.258 35 1.000 1.000 1.000 2.807 36 1.000 1.000 1.000 2.419 37 1.000 1.000 1.000 2.084 38 1.000 1.000 1.000 1.796 39 1.000 1.000 1.000 1.547 40 1.000 1.000 1.000 1.333 41 1.000 1.000 1.000 1.149 42 1.000 1.000 1.000 0.990 43 1.000 1.000 1.000 0.853 44 1.000 1.000 1.000 0.735 45 1.000 1.000 1.000 0.633 46 1.000 1.000 1.000 0.546 47 1.000 1.000 1.000 0.470 48 1.000 1.000 1.000 0.405 49 1.000 1.000 1.000 0.349 50 1.000 1.000 1.000 0.301 51 1.000 1.000 1.000 0.259 52 1.000 1.000 1.000 0.223 53 1.000 1.000 1.000 0.192 54 1.000 1.000 1.000 0.166 55 1.000 1.000 1.000 0.143 56 1.000 1.000 1.000 0.123 57 1.000 1.000 1.000 0.106 58 1.000 1.000 1.000 0.091 59 1.000 1.000 1.000 0.079 60 1.000 1.000 1.000 0.068 ---- VAR MIU Emission control rate GHGs LOWER LEVEL UPPER MARGINAL 1 0.005 0.005 0.005 EPS 2 . 0.158 1.000 -8.11E-19 3 . 0.184 1.000 -6.67E-19 4 . 0.211 1.000 -5.48E-19 5 . 0.241 1.000 -4.49E-19 6 . 0.271 1.000 -3.66E-19 7 . 0.303 1.000 -2.94E-19 8 . 0.337 1.000 -2.31E-19 9 . 0.373 1.000 -1.72E-19 10 . 0.410 1.000 -1.17E-19 11 . 0.450 1.000 -6.44E-20 12 . 0.491 1.000 -1.09E-20 13 . 0.536 1.000 4.533E-20 14 . 0.583 1.000 1.077E-19 15 . 0.633 1.000 1.813E-19 16 . 0.687 1.000 2.749E-19 17 . 0.744 1.000 4.066E-19 18 . 0.806 1.000 6.203E-19 19 . 0.872 1.000 1.059E-18 20 . 0.943 1.000 2.618E-18 21 . 1.000 1.000 0.446 22 . 1.000 1.000 1.803 23 . 1.000 1.000 2.519 24 . 1.000 1.000 2.827 25 . 1.000 1.000 2.880 26 . 1.000 1.000 2.781 27 . 1.000 1.000 2.597 28 . 1.000 1.000 2.370 29 . 1.000 1.000 2.128 30 . 1.000 1.000 1.888 31 . 1.000 1.000 1.659 32 . 1.000 1.000 1.448 33 . 1.000 1.000 1.256 34 . 1.000 1.000 1.085 35 . 1.000 1.000 0.933 36 . 1.000 1.000 0.801 37 . 1.000 1.000 0.685 38 . 1.000 1.000 0.585 39 . 1.000 1.000 0.498 40 . 1.000 1.000 0.424 41 . 1.000 1.000 0.360 42 . 1.000 1.000 0.305 43 . 1.000 1.000 0.258 44 . 1.000 1.000 0.218 45 . 1.000 1.000 0.184 46 . 1.000 1.000 0.155 47 . 1.000 1.000 0.130 48 . 1.000 1.000 0.109 49 . 1.000 1.000 0.091 50 . 1.000 1.000 0.076 51 . 1.000 1.000 0.062 52 . 1.000 1.000 0.051 53 . 1.000 1.000 0.041 54 . 1.000 1.000 0.032 55 . 1.000 1.000 0.024 56 . 1.000 1.000 0.017 57 . 1.000 1.000 0.011 58 . 1.000 1.000 0.006 59 . 1.000 1.000 0.002 60 . 1.7439E-4 1.000 -2.98E-11 ---- VAR FORC Radiative forcing in watts per m2 LOWER LEVEL UPPER MARGINAL 1 -INF 1.791 +INF EPS 2 -INF 2.142 +INF EPS 3 -INF 2.453 +INF EPS 4 -INF 2.758 +INF EPS 5 -INF 3.056 +INF EPS 6 -INF 3.342 +INF EPS 7 -INF 3.615 +INF EPS 8 -INF 3.873 +INF EPS 9 -INF 4.118 +INF EPS 10 -INF 4.347 +INF EPS 11 -INF 4.560 +INF EPS 12 -INF 4.720 +INF EPS 13 -INF 4.861 +INF EPS 14 -INF 4.980 +INF EPS 15 -INF 5.075 +INF EPS 16 -INF 5.142 +INF EPS 17 -INF 5.174 +INF EPS 18 -INF 5.164 +INF EPS 19 -INF 5.102 +INF EPS 20 -INF 4.976 +INF EPS 21 -INF 4.784 +INF EPS 22 -INF 4.580 +INF EPS 23 -INF 4.410 +INF EPS 24 -INF 4.265 +INF EPS 25 -INF 4.139 +INF EPS 26 -INF 4.027 +INF EPS 27 -INF 3.925 +INF EPS 28 -INF 3.830 +INF EPS 29 -INF 3.742 +INF EPS 30 -INF 3.658 +INF EPS 31 -INF 3.578 +INF EPS 32 -INF 3.501 +INF EPS 33 -INF 3.426 +INF EPS 34 -INF 3.354 +INF EPS 35 -INF 3.284 +INF EPS 36 -INF 3.216 +INF EPS 37 -INF 3.149 +INF EPS 38 -INF 3.084 +INF EPS 39 -INF 3.021 +INF EPS 40 -INF 2.959 +INF EPS 41 -INF 2.898 +INF EPS 42 -INF 2.839 +INF EPS 43 -INF 2.782 +INF EPS 44 -INF 2.725 +INF EPS 45 -INF 2.670 +INF EPS 46 -INF 2.617 +INF EPS 47 -INF 2.565 +INF EPS 48 -INF 2.514 +INF EPS 49 -INF 2.464 +INF EPS 50 -INF 2.415 +INF EPS 51 -INF 2.368 +INF EPS 52 -INF 2.322 +INF EPS 53 -INF 2.277 +INF EPS 54 -INF 2.234 +INF EPS 55 -INF 2.191 +INF EPS 56 -INF 2.150 +INF EPS 57 -INF 2.109 +INF EPS 58 -INF 2.070 +INF EPS 59 -INF 2.032 +INF EPS 60 -INF -1.787 +INF EPS ---- VAR TATM Temperature of atmosphere in degrees C LOWER LEVEL UPPER MARGINAL 1 . 0.731 20.000 -2.08E-19 2 . 0.951 20.000 -1.58E-19 3 . 1.165 20.000 -1.27E-19 4 . 1.376 20.000 -1.06E-19 5 . 1.584 20.000 -9.13E-20 6 . 1.786 20.000 -7.99E-20 7 . 1.984 20.000 -7.10E-20 8 . 2.175 20.000 -6.39E-20 9 . 2.360 20.000 -5.81E-20 10 . 2.537 20.000 -5.33E-20 11 . 2.706 20.000 -4.93E-20 12 . 2.858 20.000 -4.61E-20 13 . 2.996 20.000 -4.35E-20 14 . 3.119 20.000 -4.14E-20 15 . 3.227 20.000 -3.96E-20 16 . 3.320 20.000 -3.82E-20 17 . 3.395 20.000 -3.71E-20 18 . 3.448 20.000 -3.63E-20 19 . 3.477 20.000 -3.59E-20 20 . 3.474 20.000 -3.60E-20 21 . 3.437 20.000 -3.65E-20 22 . 3.374 20.000 -3.74E-20 23 . 3.300 20.000 -3.85E-20 24 . 3.226 20.000 -3.96E-20 25 . 3.154 20.000 -4.08E-20 26 . 3.086 20.000 -4.19E-20 27 . 3.023 20.000 -4.30E-20 28 . 2.964 20.000 -4.41E-20 29 . 2.909 20.000 -4.51E-20 30 . 2.857 20.000 -4.62E-20 31 . 2.808 20.000 -4.72E-20 32 . 2.760 20.000 -4.81E-20 33 . 2.715 20.000 -4.91E-20 34 . 2.671 20.000 -5.01E-20 35 . 2.627 20.000 -5.11E-20 36 . 2.585 20.000 -5.21E-20 37 . 2.544 20.000 -5.31E-20 38 . 2.503 20.000 -5.42E-20 39 . 2.463 20.000 -5.52E-20 40 . 2.423 20.000 -5.63E-20 41 . 2.384 20.000 -5.74E-20 42 . 2.346 20.000 -5.85E-20 43 . 2.308 20.000 -5.96E-20 44 . 2.270 20.000 -6.08E-20 45 . 2.233 20.000 -6.20E-20 46 . 2.197 20.000 -6.31E-20 47 . 2.161 20.000 -6.44E-20 48 . 2.126 20.000 -6.56E-20 49 . 2.091 20.000 -6.68E-20 50 . 2.057 20.000 -6.81E-20 51 . 2.023 20.000 -6.94E-20 52 . 1.990 20.000 -7.07E-20 53 . 1.957 20.000 -7.21E-20 54 . 1.925 20.000 -7.34E-20 55 . 1.894 20.000 -7.48E-20 56 . 1.863 20.000 -7.62E-20 57 . 1.833 20.000 -7.76E-20 58 . 1.803 20.000 -7.91E-20 59 . 1.774 20.000 -8.05E-20 60 . 0.913 20.000 -1.65E-19 ---- VAR TOCEAN Temperatureof lower oceans degrees C LOWER LEVEL UPPER MARGINAL 1 -1.000 0.007 20.000 -1.49E-19 2 -1.000 0.043 20.000 -1.44E-19 3 -1.000 0.088 20.000 -1.37E-19 4 -1.000 0.142 20.000 -1.31E-19 5 -1.000 0.204 20.000 -1.23E-19 6 -1.000 0.273 20.000 -1.16E-19 7 -1.000 0.349 20.000 -1.09E-19 8 -1.000 0.430 20.000 -1.03E-19 9 -1.000 0.518 20.000 -9.62E-20 10 -1.000 0.610 20.000 -9.01E-20 11 -1.000 0.706 20.000 -8.46E-20 12 -1.000 0.806 20.000 -7.94E-20 13 -1.000 0.909 20.000 -7.46E-20 14 -1.000 1.013 20.000 -7.03E-20 15 -1.000 1.118 20.000 -6.63E-20 16 -1.000 1.224 20.000 -6.27E-20 17 -1.000 1.329 20.000 -5.95E-20 18 -1.000 1.432 20.000 -5.65E-20 19 -1.000 1.533 20.000 -5.39E-20 20 -1.000 1.630 20.000 -5.16E-20 21 -1.000 1.722 20.000 -4.95E-20 22 -1.000 1.808 20.000 -4.77E-20 23 -1.000 1.886 20.000 -4.61E-20 24 -1.000 1.957 20.000 -4.47E-20 25 -1.000 2.020 20.000 -4.36E-20 26 -1.000 2.077 20.000 -4.26E-20 27 -1.000 2.127 20.000 -4.17E-20 28 -1.000 2.172 20.000 -4.10E-20 29 -1.000 2.212 20.000 -4.04E-20 30 -1.000 2.247 20.000 -3.98E-20 31 -1.000 2.277 20.000 -3.94E-20 32 -1.000 2.304 20.000 -3.90E-20 33 -1.000 2.327 20.000 -3.86E-20 34 -1.000 2.346 20.000 -3.83E-20 35 -1.000 2.362 20.000 -3.81E-20 36 -1.000 2.375 20.000 -3.79E-20 37 -1.000 2.386 20.000 -3.78E-20 38 -1.000 2.394 20.000 -3.76E-20 39 -1.000 2.399 20.000 -3.76E-20 40 -1.000 2.402 20.000 -3.75E-20 41 -1.000 2.403 20.000 -3.75E-20 42 -1.000 2.403 20.000 -3.75E-20 43 -1.000 2.400 20.000 -3.76E-20 44 -1.000 2.395 20.000 -3.76E-20 45 -1.000 2.389 20.000 -3.77E-20 46 -1.000 2.381 20.000 -3.78E-20 47 -1.000 2.372 20.000 -3.80E-20 48 -1.000 2.361 20.000 -3.81E-20 49 -1.000 2.350 20.000 -3.83E-20 50 -1.000 2.337 20.000 -3.85E-20 51 -1.000 2.323 20.000 -3.87E-20 52 -1.000 2.308 20.000 -3.89E-20 53 -1.000 2.292 20.000 -3.91E-20 54 -1.000 2.275 20.000 -3.94E-20 55 -1.000 2.258 20.000 -3.97E-20 56 -1.000 2.239 20.000 -3.99E-20 57 -1.000 2.221 20.000 -4.02E-20 58 -1.000 2.201 20.000 -4.05E-20 59 -1.000 2.181 20.000 -4.09E-20 60 -1.000 2.161 20.000 -4.12E-20 ---- VAR MAT Carbon concentration in atmosphere GtC LOWER LEVEL UPPER MARGINAL 1 10.000 808.900 +INF -1.98E-22 2 10.000 863.108 +INF -1.85E-22 3 10.000 907.615 +INF -1.76E-22 4 10.000 954.046 +INF -1.68E-22 5 10.000 1001.582 +INF -1.60E-22 6 10.000 1049.507 +INF -1.52E-22 7 10.000 1097.239 +INF -1.46E-22 8 10.000 1144.301 +INF -1.40E-22 9 10.000 1190.270 +INF -1.34E-22 10 10.000 1234.726 +INF -1.29E-22 11 10.000 1277.209 +INF -1.25E-22 12 10.000 1317.180 +INF -1.21E-22 13 10.000 1353.969 +INF -1.18E-22 14 10.000 1386.732 +INF -1.15E-22 15 10.000 1414.417 +INF -1.13E-22 16 10.000 1435.729 +INF -1.11E-22 17 10.000 1449.086 +INF -1.10E-22 18 10.000 1452.574 +INF -1.10E-22 19 10.000 1443.893 +INF -1.10E-22 20 10.000 1420.329 +INF -1.12E-22 21 10.000 1378.787 +INF -1.16E-22 22 10.000 1323.823 +INF -1.20E-22 23 10.000 1280.089 +INF -1.25E-22 24 10.000 1244.333 +INF -1.28E-22 25 10.000 1214.294 +INF -1.31E-22 26 10.000 1188.395 +INF -1.34E-22 27 10.000 1165.537 +INF -1.37E-22 28 10.000 1144.951 +INF -1.39E-22 29 10.000 1126.098 +INF -1.42E-22 30 10.000 1108.600 +INF -1.44E-22 31 10.000 1092.188 +INF -1.46E-22 32 10.000 1076.673 +INF -1.48E-22 33 10.000 1061.917 +INF -1.50E-22 34 10.000 1047.822 +INF -1.52E-22 35 10.000 1034.312 +INF -1.54E-22 36 10.000 1021.335 +INF -1.56E-22 37 10.000 1008.847 +INF -1.58E-22 38 10.000 996.815 +INF -1.60E-22 39 10.000 985.213 +INF -1.62E-22 40 10.000 974.017 +INF -1.64E-22 41 10.000 963.209 +INF -1.66E-22 42 10.000 952.773 +INF -1.68E-22 43 10.000 942.692 +INF -1.70E-22 44 10.000 932.954 +INF -1.71E-22 45 10.000 923.546 +INF -1.73E-22 46 10.000 914.457 +INF -1.75E-22 47 10.000 905.674 +INF -1.77E-22 48 10.000 897.187 +INF -1.78E-22 49 10.000 888.987 +INF -1.80E-22 50 10.000 881.063 +INF -1.82E-22 51 10.000 873.407 +INF -1.83E-22 52 10.000 866.008 +INF -1.85E-22 53 10.000 858.859 +INF -1.86E-22 54 10.000 851.952 +INF -1.88E-22 55 10.000 845.277 +INF -1.89E-22 56 10.000 838.827 +INF -1.91E-22 57 10.000 832.596 +INF -1.92E-22 58 10.000 826.574 +INF -1.94E-22 59 10.000 820.756 +INF -1.95E-22 60 10.000 815.135 +INF -1.97E-22 ---- VAR MATAV Average concentrations LOWER LEVEL UPPER MARGINAL 1 . 836.004 +INF -1.89E-22 2 . 885.361 +INF -1.79E-22 3 . 930.830 +INF -1.70E-22 4 . 977.814 +INF -1.62E-22 5 . 1025.545 +INF -1.54E-22 6 . 1073.373 +INF -1.47E-22 7 . 1120.770 +INF -1.41E-22 8 . 1167.286 +INF -1.36E-22 9 . 1212.498 +INF -1.31E-22 10 . 1255.968 +INF -1.26E-22 11 . 1297.194 +INF -1.22E-22 12 . 1335.575 +INF -1.18E-22 13 . 1370.351 +INF -1.15E-22 14 . 1400.575 +INF -1.13E-22 15 . 1425.073 +INF -1.11E-22 16 . 1442.408 +INF -1.10E-22 17 . 1450.830 +INF -1.09E-22 18 . 1448.233 +INF -1.09E-22 19 . 1432.111 +INF -1.10E-22 20 . 1399.558 +INF -1.13E-22 21 . 1351.305 +INF -1.17E-22 22 . 1301.956 +INF -1.22E-22 23 . 1262.211 +INF -1.25E-22 24 . 1229.314 +INF -1.29E-22 25 . 1201.345 +INF -1.32E-22 26 . 1176.966 +INF -1.34E-22 27 . 1155.244 +INF -1.37E-22 28 . 1135.524 +INF -1.39E-22 29 . 1117.349 +INF -1.42E-22 30 . 1100.394 +INF -1.44E-22 31 . 1084.431 +INF -1.46E-22 32 . 1069.295 +INF -1.48E-22 33 . 1054.870 +INF -1.50E-22 34 . 1041.067 +INF -1.52E-22 35 . 1027.824 +INF -1.54E-22 36 . 1015.091 +INF -1.56E-22 37 . 1002.831 +INF -1.58E-22 38 . 991.014 +INF -1.60E-22 39 . 979.615 +INF -1.62E-22 40 . 968.613 +INF -1.63E-22 41 . 957.991 +INF -1.65E-22 42 . 947.732 +INF -1.67E-22 43 . 937.823 +INF -1.69E-22 44 . 928.250 +INF -1.70E-22 45 . 919.001 +INF -1.72E-22 46 . 910.065 +INF -1.74E-22 47 . 901.430 +INF -1.76E-22 48 . 893.087 +INF -1.77E-22 49 . 885.025 +INF -1.79E-22 50 . 877.235 +INF -1.80E-22 51 . 869.707 +INF -1.82E-22 52 . 862.434 +INF -1.83E-22 53 . 855.405 +INF -1.85E-22 54 . 848.614 +INF -1.86E-22 55 . 842.052 +INF -1.88E-22 56 . 835.712 +INF -1.89E-22 57 . 829.585 +INF -1.91E-22 58 . 823.665 +INF -1.92E-22 59 . 817.945 +INF -1.93E-22 60 . 407.567 +INF -3.88E-22 ---- VAR MU Carbon concentration in shallow oceans Gtc LOWER LEVEL UPPER MARGINAL 1 100.000 1255.000 +INF -1.37E-22 2 100.000 1280.635 +INF -1.34E-22 3 100.000 1312.775 +INF -1.30E-22 4 100.000 1348.628 +INF -1.27E-22 5 100.000 1388.018 +INF -1.23E-22 6 100.000 1430.640 +INF -1.19E-22 7 100.000 1476.095 +INF -1.15E-22 8 100.000 1523.939 +INF -1.11E-22 9 100.000 1573.698 +INF -1.07E-22 10 100.000 1624.892 +INF -1.04E-22 11 100.000 1677.030 +INF -1.00E-22 12 100.000 1729.608 +INF -9.71E-23 13 100.000 1782.094 +INF -9.41E-23 14 100.000 1833.906 +INF -9.13E-23 15 100.000 1884.390 +INF -8.87E-23 16 100.000 1932.787 +INF -8.63E-23 17 100.000 1978.207 +INF -8.43E-23 18 100.000 2019.588 +INF -8.24E-23 19 100.000 2055.665 +INF -8.09E-23 20 100.000 2084.919 +INF -7.97E-23 21 100.000 2105.545 +INF -7.89E-23 22 100.000 2115.413 +INF -7.85E-23 23 100.000 2113.569 +INF -7.86E-23 24 100.000 2103.864 +INF -7.90E-23 25 100.000 2088.965 +INF -7.96E-23 26 100.000 2070.717 +INF -8.03E-23 27 100.000 2050.392 +INF -8.11E-23 28 100.000 2028.871 +INF -8.20E-23 29 100.000 2006.754 +INF -8.30E-23 30 100.000 1984.454 +INF -8.40E-23 31 100.000 1962.251 +INF -8.50E-23 32 100.000 1940.332 +INF -8.60E-23 33 100.000 1918.821 +INF -8.70E-23 34 100.000 1897.798 +INF -8.80E-23 35 100.000 1877.313 +INF -8.90E-23 36 100.000 1857.393 +INF -9.00E-23 37 100.000 1838.052 +INF -9.10E-23 38 100.000 1819.296 +INF -9.20E-23 39 100.000 1801.119 +INF -9.30E-23 40 100.000 1783.516 +INF -9.40E-23 41 100.000 1766.476 +INF -9.50E-23 42 100.000 1749.985 +INF -9.59E-23 43 100.000 1734.031 +INF -9.68E-23 44 100.000 1718.600 +INF -9.78E-23 45 100.000 1703.676 +INF -9.87E-23 46 100.000 1689.244 +INF -9.96E-23 47 100.000 1675.290 +INF -1.00E-22 48 100.000 1661.799 +INF -1.01E-22 49 100.000 1648.756 +INF -1.02E-22 50 100.000 1636.148 +INF -1.03E-22 51 100.000 1623.960 +INF -1.04E-22 52 100.000 1612.179 +INF -1.05E-22 53 100.000 1600.792 +INF -1.05E-22 54 100.000 1589.786 +INF -1.06E-22 55 100.000 1579.149 +INF -1.07E-22 56 100.000 1568.868 +INF -1.08E-22 57 100.000 1558.933 +INF -1.08E-22 58 100.000 1549.330 +INF -1.09E-22 59 100.000 1540.051 +INF -1.10E-22 60 100.000 1531.083 +INF -1.11E-22 ---- VAR ML Carbon concentration in lower oceans GtC LOWER LEVEL UPPER MARGINAL 1 1000.000 18365.000 +INF -9.11E-24 2 1000.000 18370.477 +INF -9.11E-24 3 1000.000 18377.219 +INF -9.11E-24 4 1000.000 18385.547 +INF -9.10E-24 5 1000.000 18395.642 +INF -9.10E-24 6 1000.000 18407.675 +INF -9.09E-24 7 1000.000 18421.801 +INF -9.08E-24 8 1000.000 18438.156 +INF -9.07E-24 9 1000.000 18456.852 +INF -9.07E-24 10 1000.000 18477.978 +INF -9.05E-24 11 1000.000 18501.597 +INF -9.04E-24 12 1000.000 18527.750 +INF -9.03E-24 13 1000.000 18556.450 +INF -9.01E-24 14 1000.000 18587.685 +INF -9.00E-24 15 1000.000 18621.414 +INF -8.98E-24 16 1000.000 18657.561 +INF -8.96E-24 17 1000.000 18696.015 +INF -8.94E-24 18 1000.000 18736.620 +INF -8.92E-24 19 1000.000 18779.168 +INF -8.90E-24 20 1000.000 18823.387 +INF -8.88E-24 21 1000.000 18868.931 +INF -8.86E-24 22 1000.000 18915.364 +INF -8.83E-24 23 1000.000 18962.146 +INF -8.81E-24 24 1000.000 19008.689 +INF -8.79E-24 25 1000.000 19054.602 +INF -8.76E-24 26 1000.000 19099.627 +INF -8.74E-24 27 1000.000 19143.600 +INF -8.72E-24 28 1000.000 19186.418 +INF -8.70E-24 29 1000.000 19228.028 +INF -8.68E-24 30 1000.000 19268.401 +INF -8.66E-24 31 1000.000 19307.534 +INF -8.64E-24 32 1000.000 19345.434 +INF -8.63E-24 33 1000.000 19382.121 +INF -8.61E-24 34 1000.000 19417.617 +INF -8.59E-24 35 1000.000 19451.952 +INF -8.58E-24 36 1000.000 19485.155 +INF -8.56E-24 37 1000.000 19517.259 +INF -8.55E-24 38 1000.000 19548.295 +INF -8.53E-24 39 1000.000 19578.297 +INF -8.52E-24 40 1000.000 19607.297 +INF -8.50E-24 41 1000.000 19635.326 +INF -8.49E-24 42 1000.000 19662.415 +INF -8.48E-24 43 1000.000 19688.596 +INF -8.47E-24 44 1000.000 19713.897 +INF -8.46E-24 45 1000.000 19738.347 +INF -8.45E-24 46 1000.000 19761.976 +INF -8.43E-24 47 1000.000 19784.809 +INF -8.42E-24 48 1000.000 19806.873 +INF -8.41E-24 49 1000.000 19828.193 +INF -8.40E-24 50 1000.000 19848.795 +INF -8.40E-24 51 1000.000 19868.703 +INF -8.39E-24 52 1000.000 19887.939 +INF -8.38E-24 53 1000.000 19906.526 +INF -8.37E-24 54 1000.000 19924.485 +INF -8.36E-24 55 1000.000 19941.838 +INF -8.35E-24 56 1000.000 19958.606 +INF -8.35E-24 57 1000.000 19974.807 +INF -8.34E-24 58 1000.000 19990.460 +INF -8.33E-24 59 1000.000 20005.585 +INF -8.33E-24 60 1000.000 20020.199 +INF -8.32E-24 ---- VAR E CO2-equivalent emissions GtC LOWER LEVEL UPPER MARGINAL 1 . 85.320 +INF -1.85E-21 2 . 83.388 +INF -1.90E-21 3 . 90.613 +INF -1.75E-21 4 . 97.021 +INF -1.63E-21 5 . 102.578 +INF -1.54E-21 6 . 107.314 +INF -1.47E-21 7 . 111.260 +INF -1.42E-21 8 . 114.425 +INF -1.38E-21 9 . 116.776 +INF -1.36E-21 10 . 118.241 +INF -1.34E-21 11 . 118.702 +INF -1.33E-21 12 . 117.975 +INF -1.34E-21 13 . 115.810 +INF -1.37E-21 14 . 111.897 +INF -1.41E-21 15 . 105.857 +INF -1.49E-21 16 . 97.231 +INF -1.63E-21 17 . 85.474 +INF -1.85E-21 18 . 69.944 +INF -2.26E-21 19 . 49.910 +INF -3.17E-21 20 . 24.627 +INF -6.43E-21 21 . 1.337 +INF -1.18E-19 22 . 1.204 +INF -1.31E-19 23 . 1.083 +INF -1.46E-19 24 . 0.975 +INF -1.62E-19 25 . 0.877 +INF -1.80E-19 26 . 0.790 +INF -2.00E-19 27 . 0.711 +INF -2.23E-19 28 . 0.640 +INF -2.47E-19 29 . 0.576 +INF -2.75E-19 30 . 0.518 +INF -3.05E-19 31 . 0.466 +INF -3.39E-19 32 . 0.420 +INF -3.77E-19 33 . 0.378 +INF -4.19E-19 34 . 0.340 +INF -4.66E-19 35 . 0.306 +INF -5.17E-19 36 . 0.275 +INF -5.75E-19 37 . 0.248 +INF -6.39E-19 38 . 0.223 +INF -7.10E-19 39 . 0.201 +INF -7.88E-19 40 . 0.181 +INF -8.76E-19 41 . 0.163 +INF -9.73E-19 42 . 0.146 +INF -1.08E-18 43 . 0.132 +INF -1.20E-18 44 . 0.119 +INF -1.34E-18 45 . 0.107 +INF -1.48E-18 46 . 0.096 +INF -1.65E-18 47 . 0.086 +INF -1.83E-18 48 . 0.078 +INF -2.03E-18 49 . 0.070 +INF -2.26E-18 50 . 0.063 +INF -2.51E-18 51 . 0.057 +INF -2.79E-18 52 . 0.051 +INF -3.10E-18 53 . 0.046 +INF -3.45E-18 54 . 0.041 +INF -3.83E-18 55 . 0.037 +INF -4.25E-18 56 . 0.033 +INF -4.73E-18 57 . 0.030 +INF -5.25E-18 58 . 0.027 +INF -5.84E-18 59 . 0.024 +INF -6.48E-18 60 . 6854.646 +INF -2.31E-23 ---- VAR C Consumption trillions US dollars LOWER LEVEL UPPER MARGINAL 1 20.000 43.354 +INF -6.78E-21 2 20.000 54.199 +INF -4.63E-21 3 20.000 66.322 +INF -3.42E-21 4 20.000 79.624 +INF -2.65E-21 5 20.000 94.141 +INF -2.13E-21 6 20.000 109.993 +INF -1.76E-21 7 20.000 127.359 +INF -1.47E-21 8 20.000 146.451 +INF -1.25E-21 9 20.000 167.506 +INF -1.07E-21 10 20.000 190.785 +INF -9.27E-22 11 20.000 216.565 +INF -8.05E-22 12 20.000 245.179 +INF -7.03E-22 13 20.000 276.959 +INF -6.16E-22 14 20.000 312.265 +INF -5.41E-22 15 20.000 351.488 +INF -4.77E-22 16 20.000 395.053 +INF -4.22E-22 17 20.000 443.430 +INF -3.74E-22 18 20.000 497.144 +INF -3.32E-22 19 20.000 556.782 +INF -2.95E-22 20 20.000 623.020 +INF -2.62E-22 21 20.000 697.090 +INF -2.34E-22 22 20.000 781.240 +INF -2.08E-22 23 20.000 875.188 +INF -1.85E-22 24 20.000 979.598 +INF -1.65E-22 25 20.000 1095.268 +INF -1.47E-22 26 20.000 1223.116 +INF -1.32E-22 27 20.000 1364.177 +INF -1.18E-22 28 20.000 1519.593 +INF -1.06E-22 29 20.000 1690.612 +INF -9.47E-23 30 20.000 1878.587 +INF -8.51E-23 31 20.000 2084.978 +INF -7.66E-23 32 20.000 2311.352 +INF -6.91E-23 33 20.000 2559.388 +INF -6.23E-23 34 20.000 2830.882 +INF -5.63E-23 35 20.000 3127.750 +INF -5.09E-23 36 20.000 3452.037 +INF -4.61E-23 37 20.000 3805.917 +INF -4.18E-23 38 20.000 4191.703 +INF -3.79E-23 39 20.000 4611.853 +INF -3.45E-23 40 20.000 5068.976 +INF -3.13E-23 41 20.000 5565.835 +INF -2.85E-23 42 20.000 6105.361 +INF -2.60E-23 43 20.000 6690.651 +INF -2.37E-23 44 20.000 7324.982 +INF -2.17E-23 45 20.000 8011.811 +INF -1.98E-23 46 20.000 8754.789 +INF -1.81E-23 47 20.000 9557.762 +INF -1.66E-23 48 20.000 10424.778 +INF -1.52E-23 49 20.000 11360.099 +INF -1.40E-23 50 20.000 12368.200 +INF -1.28E-23 51 20.000 13453.783 +INF -1.18E-23 52 20.000 14621.778 +INF -1.08E-23 53 20.000 15877.352 +INF -9.98E-24 54 20.000 17225.917 +INF -9.20E-24 55 20.000 18673.129 +INF -8.48E-24 56 20.000 20224.906 +INF -7.83E-24 57 20.000 21887.422 +INF -7.24E-24 58 20.000 23667.120 +INF -6.69E-24 59 20.000 25570.715 +INF -6.19E-24 60 20.000 27895.416 +INF -5.68E-24 ---- VAR K Capital stock trillions US dollars LOWER LEVEL UPPER MARGINAL 1 100.000 137.000 +INF -4.28E-21 2 100.000 170.053 +INF -2.26E-21 3 100.000 212.167 +INF -1.41E-21 4 100.000 261.043 +INF -9.83E-22 5 100.000 315.604 +INF -7.34E-22 6 100.000 375.572 +INF -5.74E-22 7 100.000 441.194 +INF -4.64E-22 8 100.000 513.056 +INF -3.83E-22 9 100.000 591.961 +INF -3.22E-22 10 100.000 678.860 +INF -2.73E-22 11 100.000 774.818 +INF -2.35E-22 12 100.000 880.990 +INF -2.03E-22 13 100.000 998.714 +INF -1.76E-22 14 100.000 1129.399 +INF -1.54E-22 15 100.000 1274.549 +INF -1.35E-22 16 100.000 1435.787 +INF -1.18E-22 17 100.000 1614.883 +INF -1.04E-22 18 100.000 1813.779 +INF -9.23E-23 19 100.000 2034.629 +INF -8.18E-23 20 100.000 2279.845 +INF -7.26E-23 21 100.000 2552.172 +INF -6.45E-23 22 100.000 2856.041 +INF -5.74E-23 23 100.000 3199.341 +INF -5.11E-23 24 100.000 3584.023 +INF -4.54E-23 25 100.000 4012.643 +INF -4.04E-23 26 100.000 4488.342 +INF -3.61E-23 27 100.000 5014.806 +INF -3.22E-23 28 100.000 5596.238 +INF -2.88E-23 29 100.000 6237.323 +INF -2.58E-23 30 100.000 6943.217 +INF -2.31E-23 31 100.000 7719.533 +INF -2.08E-23 32 100.000 8572.345 +INF -1.87E-23 33 100.000 9508.192 +INF -1.68E-23 34 100.000 10534.090 +INF -1.52E-23 35 100.000 11657.551 +INF -1.37E-23 36 100.000 12886.600 +INF -1.24E-23 37 100.000 14229.797 +INF -1.12E-23 38 100.000 15696.264 +INF -1.01E-23 39 100.000 17295.704 +INF -9.20E-24 40 100.000 19038.433 +INF -8.36E-24 41 100.000 20935.405 +INF -7.60E-24 42 100.000 22998.237 +INF -6.91E-24 43 100.000 25239.241 +INF -6.29E-24 44 100.000 27671.449 +INF -5.74E-24 45 100.000 30308.645 +INF -5.24E-24 46 100.000 33165.390 +INF -4.79E-24 47 100.000 36257.055 +INF -4.38E-24 48 100.000 39599.845 +INF -4.01E-24 49 100.000 43210.835 +INF -3.67E-24 50 100.000 47107.993 +INF -3.37E-24 51 100.000 51310.211 +INF -3.09E-24 52 100.000 55837.334 +INF -2.84E-24 53 100.000 60710.190 +INF -2.61E-24 54 100.000 65950.613 +INF -2.40E-24 55 100.000 71581.478 +INF -2.21E-24 56 100.000 77626.722 +INF -2.04E-24 57 100.000 84111.374 +INF -1.88E-24 58 100.000 91061.579 +INF -1.74E-24 59 100.000 98504.627 +INF -1.61E-24 60 100.000 1.0647E+5 +INF -1.49E-24 ---- VAR CPC Per capita consumption thousands US dollars LOWER LEVEL UPPER MARGINAL 1 -INF 6.656 +INF EPS 2 -INF 7.602 +INF EPS 3 -INF 8.768 +INF EPS 4 -INF 10.117 +INF EPS 5 -INF 11.643 +INF EPS 6 -INF 13.353 +INF EPS 7 -INF 15.263 +INF EPS 8 -INF 17.393 +INF EPS 9 -INF 19.769 +INF EPS 10 -INF 22.417 +INF EPS 11 -INF 25.368 +INF EPS 12 -INF 28.657 +INF EPS 13 -INF 32.322 +INF EPS 14 -INF 36.403 +INF EPS 15 -INF 40.945 +INF EPS 16 -INF 45.995 +INF EPS 17 -INF 51.608 +INF EPS 18 -INF 57.844 +INF EPS 19 -INF 64.771 +INF EPS 20 -INF 72.467 +INF EPS 21 -INF 81.075 +INF EPS 22 -INF 90.856 +INF EPS 23 -INF 101.777 +INF EPS 24 -INF 113.916 +INF EPS 25 -INF 127.364 +INF EPS 26 -INF 142.228 +INF EPS 27 -INF 158.630 +INF EPS 28 -INF 176.700 +INF EPS 29 -INF 196.585 +INF EPS 30 -INF 218.442 +INF EPS 31 -INF 242.441 +INF EPS 32 -INF 268.763 +INF EPS 33 -INF 297.604 +INF EPS 34 -INF 329.173 +INF EPS 35 -INF 363.693 +INF EPS 36 -INF 401.400 +INF EPS 37 -INF 442.549 +INF EPS 38 -INF 487.408 +INF EPS 39 -INF 536.262 +INF EPS 40 -INF 589.416 +INF EPS 41 -INF 647.190 +INF EPS 42 -INF 709.926 +INF EPS 43 -INF 777.983 +INF EPS 44 -INF 851.742 +INF EPS 45 -INF 931.606 +INF EPS 46 -INF 1017.999 +INF EPS 47 -INF 1111.368 +INF EPS 48 -INF 1212.184 +INF EPS 49 -INF 1320.942 +INF EPS 50 -INF 1438.163 +INF EPS 51 -INF 1564.393 +INF EPS 52 -INF 1700.207 +INF EPS 53 -INF 1846.204 +INF EPS 54 -INF 2003.014 +INF EPS 55 -INF 2171.294 +INF EPS 56 -INF 2351.733 +INF EPS 57 -INF 2545.049 +INF EPS 58 -INF 2751.991 +INF EPS 59 -INF 2973.339 +INF EPS 60 -INF 3243.653 +INF EPS ---- VAR PCY Per capita income thousands US dollars LOWER LEVEL UPPER MARGINAL 1 -INF 8.533 +INF EPS 2 -INF 9.746 +INF EPS 3 -INF 11.241 +INF EPS 4 -INF 12.971 +INF EPS 5 -INF 14.927 +INF EPS 6 -INF 17.119 +INF EPS 7 -INF 19.567 +INF EPS 8 -INF 22.299 +INF EPS 9 -INF 25.345 +INF EPS 10 -INF 28.740 +INF EPS 11 -INF 32.523 +INF EPS 12 -INF 36.740 +INF EPS 13 -INF 41.439 +INF EPS 14 -INF 46.671 +INF EPS 15 -INF 52.493 +INF EPS 16 -INF 58.968 +INF EPS 17 -INF 66.164 +INF EPS 18 -INF 74.159 +INF EPS 19 -INF 83.040 +INF EPS 20 -INF 92.906 +INF EPS 21 -INF 103.942 +INF EPS 22 -INF 116.482 +INF EPS 23 -INF 130.484 +INF EPS 24 -INF 146.046 +INF EPS 25 -INF 163.287 +INF EPS 26 -INF 182.344 +INF EPS 27 -INF 203.371 +INF EPS 28 -INF 226.539 +INF EPS 29 -INF 252.033 +INF EPS 30 -INF 280.054 +INF EPS 31 -INF 310.822 +INF EPS 32 -INF 344.568 +INF EPS 33 -INF 381.544 +INF EPS 34 -INF 422.017 +INF EPS 35 -INF 466.272 +INF EPS 36 -INF 514.616 +INF EPS 37 -INF 567.370 +INF EPS 38 -INF 624.882 +INF EPS 39 -INF 687.516 +INF EPS 40 -INF 755.661 +INF EPS 41 -INF 829.731 +INF EPS 42 -INF 910.161 +INF EPS 43 -INF 997.414 +INF EPS 44 -INF 1091.977 +INF EPS 45 -INF 1194.367 +INF EPS 46 -INF 1305.127 +INF EPS 47 -INF 1424.830 +INF EPS 48 -INF 1554.081 +INF EPS 49 -INF 1693.515 +INF EPS 50 -INF 1843.798 +INF EPS 51 -INF 2005.633 +INF EPS 52 -INF 2179.752 +INF EPS 53 -INF 2366.928 +INF EPS 54 -INF 2567.966 +INF EPS 55 -INF 2783.710 +INF EPS 56 -INF 3015.043 +INF EPS 57 -INF 3262.883 +INF EPS 58 -INF 3528.193 +INF EPS 59 -INF 3811.973 +INF EPS 60 -INF 4158.530 +INF EPS ---- VAR I Investment trillions US dollars LOWER LEVEL UPPER MARGINAL 1 . 12.228 +INF -1.29E-20 2 . 15.287 +INF -1.04E-20 3 . 18.707 +INF -8.46E-21 4 . 22.458 +INF -7.05E-21 5 . 26.553 +INF -5.96E-21 6 . 31.024 +INF -5.10E-21 7 . 35.922 +INF -4.41E-21 8 . 41.307 +INF -3.83E-21 9 . 47.246 +INF -3.35E-21 10 . 53.811 +INF -2.94E-21 11 . 61.083 +INF -2.59E-21 12 . 69.153 +INF -2.29E-21 13 . 78.117 +INF -2.03E-21 14 . 88.075 +INF -1.80E-21 15 . 99.138 +INF -1.60E-21 16 . 111.425 +INF -1.42E-21 17 . 125.070 +INF -1.27E-21 18 . 140.220 +INF -1.13E-21 19 . 157.041 +INF -1.01E-21 20 . 175.724 +INF -9.01E-22 21 . 196.615 +INF -8.05E-22 22 . 220.350 +INF -7.18E-22 23 . 246.848 +INF -6.41E-22 24 . 276.297 +INF -5.73E-22 25 . 308.922 +INF -5.12E-22 26 . 344.982 +INF -4.59E-22 27 . 384.768 +INF -4.11E-22 28 . 428.604 +INF -3.69E-22 29 . 476.840 +INF -3.32E-22 30 . 529.858 +INF -2.99E-22 31 . 588.071 +INF -2.69E-22 32 . 651.920 +INF -2.43E-22 33 . 721.879 +INF -2.19E-22 34 . 798.454 +INF -1.98E-22 35 . 882.186 +INF -1.79E-22 36 . 973.652 +INF -1.63E-22 37 . 1073.464 +INF -1.47E-22 38 . 1182.275 +INF -1.34E-22 39 . 1300.779 +INF -1.22E-22 40 . 1429.711 +INF -1.11E-22 41 . 1569.851 +INF -1.01E-22 42 . 1722.025 +INF -9.19E-23 43 . 1887.107 +INF -8.39E-23 44 . 2066.021 +INF -7.66E-23 45 . 2259.742 +INF -7.00E-23 46 . 2469.300 +INF -6.41E-23 47 . 2695.779 +INF -5.87E-23 48 . 2940.322 +INF -5.38E-23 49 . 3204.131 +INF -4.94E-23 50 . 3488.467 +INF -4.54E-23 51 . 3794.657 +INF -4.17E-23 52 . 4124.092 +INF -3.84E-23 53 . 4478.228 +INF -3.53E-23 54 . 4858.592 +INF -3.26E-23 55 . 5266.780 +INF -3.00E-23 56 . 5704.461 +INF -2.77E-23 57 . 6173.376 +INF -2.56E-23 58 . 6675.342 +INF -2.37E-23 59 . 7212.253 +INF -2.19E-23 60 . 7867.938 +INF -2.01E-23 ---- VAR S Gross savings rate as fraction of gross world product LOWER LEVEL UPPER MARGINAL 1 0.220 0.220 0.220 EPS 2 0.220 0.220 0.220 EPS 3 0.220 0.220 0.220 EPS 4 0.220 0.220 0.220 EPS 5 0.220 0.220 0.220 EPS 6 0.220 0.220 0.220 EPS 7 0.220 0.220 0.220 EPS 8 0.220 0.220 0.220 EPS 9 0.220 0.220 0.220 EPS 10 0.220 0.220 0.220 EPS 11 0.220 0.220 0.220 EPS 12 0.220 0.220 0.220 EPS 13 0.220 0.220 0.220 EPS 14 0.220 0.220 0.220 EPS 15 0.220 0.220 0.220 EPS 16 0.220 0.220 0.220 EPS 17 0.220 0.220 0.220 EPS 18 0.220 0.220 0.220 EPS 19 0.220 0.220 0.220 EPS 20 0.220 0.220 0.220 EPS 21 0.220 0.220 0.220 EPS 22 0.220 0.220 0.220 EPS 23 0.220 0.220 0.220 EPS 24 0.220 0.220 0.220 EPS 25 0.220 0.220 0.220 EPS 26 0.220 0.220 0.220 EPS 27 0.220 0.220 0.220 EPS 28 0.220 0.220 0.220 EPS 29 0.220 0.220 0.220 EPS 30 0.220 0.220 0.220 EPS 31 0.220 0.220 0.220 EPS 32 0.220 0.220 0.220 EPS 33 0.220 0.220 0.220 EPS 34 0.220 0.220 0.220 EPS 35 0.220 0.220 0.220 EPS 36 0.220 0.220 0.220 EPS 37 0.220 0.220 0.220 EPS 38 0.220 0.220 0.220 EPS 39 0.220 0.220 0.220 EPS 40 0.220 0.220 0.220 EPS 41 0.220 0.220 0.220 EPS 42 0.220 0.220 0.220 EPS 43 0.220 0.220 0.220 EPS 44 0.220 0.220 0.220 EPS 45 0.220 0.220 0.220 EPS 46 0.220 0.220 0.220 EPS 47 0.220 0.220 0.220 EPS 48 0.220 0.220 0.220 EPS 49 0.220 0.220 0.220 EPS 50 0.220 0.220 0.220 EPS 51 0.220 0.220 0.220 EPS 52 0.220 0.220 0.220 EPS 53 0.220 0.220 0.220 EPS 54 0.220 0.220 0.220 EPS 55 0.220 0.220 0.220 EPS 56 0.220 0.220 0.220 EPS 57 0.220 0.220 0.220 EPS 58 0.220 0.220 0.220 EPS 59 0.220 0.220 0.220 EPS 60 0.220 0.220 0.220 EPS ---- VAR RI Real interest rate per annum LOWER LEVEL UPPER MARGINAL 1 -INF 0.057 +INF EPS 2 -INF 0.057 +INF EPS 3 -INF 0.055 +INF EPS 4 -INF 0.052 +INF EPS 5 -INF 0.050 +INF EPS 6 -INF 0.048 +INF EPS 7 -INF 0.046 +INF EPS 8 -INF 0.045 +INF EPS 9 -INF 0.044 +INF EPS 10 -INF 0.043 +INF EPS 11 -INF 0.042 +INF EPS 12 -INF 0.042 +INF EPS 13 -INF 0.042 +INF EPS 14 -INF 0.041 +INF EPS 15 -INF 0.041 +INF EPS 16 -INF 0.041 +INF EPS 17 -INF 0.040 +INF EPS 18 -INF 0.040 +INF EPS 19 -INF 0.040 +INF EPS 20 -INF 0.040 +INF EPS 21 -INF 0.040 +INF EPS 22 -INF 0.040 +INF EPS 23 -INF 0.040 +INF EPS 24 -INF 0.040 +INF EPS 25 -INF 0.040 +INF EPS 26 -INF 0.040 +INF EPS 27 -INF 0.039 +INF EPS 28 -INF 0.039 +INF EPS 29 -INF 0.039 +INF EPS 30 -INF 0.039 +INF EPS 31 -INF 0.039 +INF EPS 32 -INF 0.039 +INF EPS 33 -INF 0.038 +INF EPS 34 -INF 0.038 +INF EPS 35 -INF 0.038 +INF EPS 36 -INF 0.038 +INF EPS 37 -INF 0.038 +INF EPS 38 -INF 0.038 +INF EPS 39 -INF 0.037 +INF EPS 40 -INF 0.037 +INF EPS 41 -INF 0.037 +INF EPS 42 -INF 0.037 +INF EPS 43 -INF 0.037 +INF EPS 44 -INF 0.037 +INF EPS 45 -INF 0.037 +INF EPS 46 -INF 0.036 +INF EPS 47 -INF 0.036 +INF EPS 48 -INF 0.036 +INF EPS 49 -INF 0.036 +INF EPS 50 -INF 0.036 +INF EPS 51 -INF 0.036 +INF EPS 52 -INF 0.036 +INF EPS 53 -INF 0.035 +INF EPS 54 -INF 0.035 +INF EPS 55 -INF 0.035 +INF EPS 56 -INF 0.035 +INF EPS 57 -INF 0.035 +INF EPS 58 -INF 0.035 +INF EPS 59 -INF 0.035 +INF EPS 60 -INF 0.036 +INF EPS ---- VAR Y Gross world product net of abatement and damages LOWER LEVEL UPPER MARGINAL 1 . 55.583 +INF -2.85E-21 2 . 69.487 +INF -2.28E-21 3 . 85.029 +INF -1.86E-21 4 . 102.082 +INF -1.55E-21 5 . 120.693 +INF -1.31E-21 6 . 141.017 +INF -1.12E-21 7 . 163.281 +INF -9.69E-22 8 . 187.758 +INF -8.43E-22 9 . 214.752 +INF -7.37E-22 10 . 244.596 +INF -6.47E-22 11 . 277.648 +INF -5.70E-22 12 . 314.332 +INF -5.03E-22 13 . 355.076 +INF -4.46E-22 14 . 400.341 +INF -3.95E-22 15 . 450.626 +INF -3.51E-22 16 . 506.478 +INF -3.12E-22 17 . 568.501 +INF -2.78E-22 18 . 637.364 +INF -2.48E-22 19 . 713.823 +INF -2.22E-22 20 . 798.744 +INF -1.98E-22 21 . 893.705 +INF -1.77E-22 22 . 1001.591 +INF -1.58E-22 23 . 1122.036 +INF -1.41E-22 24 . 1255.895 +INF -1.26E-22 25 . 1404.190 +INF -1.13E-22 26 . 1568.098 +INF -1.01E-22 27 . 1748.946 +INF -9.05E-23 28 . 1948.197 +INF -8.12E-23 29 . 2167.452 +INF -7.30E-23 30 . 2408.446 +INF -6.57E-23 31 . 2673.049 +INF -5.92E-23 32 . 2963.272 +INF -5.34E-23 33 . 3281.266 +INF -4.82E-23 34 . 3629.336 +INF -4.36E-23 35 . 4009.937 +INF -3.95E-23 36 . 4425.689 +INF -3.58E-23 37 . 4879.381 +INF -3.24E-23 38 . 5373.979 +INF -2.94E-23 39 . 5912.633 +INF -2.68E-23 40 . 6498.687 +INF -2.44E-23 41 . 7135.687 +INF -2.22E-23 42 . 7827.386 +INF -2.02E-23 43 . 8577.758 +INF -1.84E-23 44 . 9391.002 +INF -1.69E-23 45 . 10271.553 +INF -1.54E-23 46 . 11224.089 +INF -1.41E-23 47 . 12253.541 +INF -1.29E-23 48 . 13365.100 +INF -1.18E-23 49 . 14564.229 +INF -1.09E-23 50 . 15856.667 +INF -9.98E-24 51 . 17248.440 +INF -9.17E-24 52 . 18745.870 +INF -8.44E-24 53 . 20355.580 +INF -7.77E-24 54 . 22084.509 +INF -7.17E-24 55 . 23939.910 +INF -6.61E-24 56 . 25929.367 +INF -6.10E-24 57 . 28060.797 +INF -5.64E-24 58 . 30342.462 +INF -5.22E-24 59 . 32782.969 +INF -4.83E-24 60 . 35763.354 +INF -4.42E-24 ---- VAR YGROSS Gross world product GROSS of abatement and damages LOWER LEVEL UPPER MARGINAL 1 . 55.667 +INF -2.84E-21 2 . 69.685 +INF -2.27E-21 3 . 85.391 +INF -1.85E-21 4 . 102.688 +INF -1.54E-21 5 . 121.641 +INF -1.30E-21 6 . 142.428 +INF -1.11E-21 7 . 165.301 +INF -9.57E-22 8 . 190.559 +INF -8.30E-22 9 . 218.540 +INF -7.24E-22 10 . 249.611 +INF -6.34E-22 11 . 284.167 +INF -5.57E-22 12 . 322.636 +INF -4.90E-22 13 . 365.489 +INF -4.33E-22 14 . 413.228 +INF -3.83E-22 15 . 466.398 +INF -3.39E-22 16 . 525.584 +INF -3.01E-22 17 . 591.425 +INF -2.68E-22 18 . 664.614 +INF -2.38E-22 19 . 745.908 +INF -2.12E-22 20 . 836.135 +INF -1.89E-22 21 . 936.207 +INF -1.69E-22 22 . 1047.268 +INF -1.51E-22 23 . 1170.898 +INF -1.35E-22 24 . 1308.073 +INF -1.21E-22 25 . 1459.898 +INF -1.08E-22 26 . 1627.606 +INF -9.72E-23 27 . 1812.555 +INF -8.73E-23 28 . 2016.234 +INF -7.85E-23 29 . 2240.259 +INF -7.06E-23 30 . 2486.376 +INF -6.36E-23 31 . 2756.466 +INF -5.74E-23 32 . 3052.546 +INF -5.18E-23 33 . 3376.779 +INF -4.69E-23 34 . 3731.475 +INF -4.24E-23 35 . 4119.102 +INF -3.84E-23 36 . 4542.289 +INF -3.48E-23 37 . 5003.835 +INF -3.16E-23 38 . 5506.719 +INF -2.87E-23 39 . 6054.103 +INF -2.61E-23 40 . 6649.345 +INF -2.38E-23 41 . 7296.004 +INF -2.17E-23 42 . 7997.848 +INF -1.98E-23 43 . 8758.867 +INF -1.81E-23 44 . 9583.275 +INF -1.65E-23 45 . 10475.523 +INF -1.51E-23 46 . 11440.307 +INF -1.38E-23 47 . 12482.576 +INF -1.27E-23 48 . 13607.540 +INF -1.16E-23 49 . 14820.679 +INF -1.07E-23 50 . 16127.754 +INF -9.81E-24 51 . 17534.809 +INF -9.02E-24 52 . 19048.189 +INF -8.31E-24 53 . 20674.539 +INF -7.65E-24 54 . 22420.819 +INF -7.06E-24 55 . 24294.307 +INF -6.51E-24 56 . 26302.610 +INF -6.02E-24 57 . 28453.672 +INF -5.56E-24 58 . 30755.778 +INF -5.15E-24 59 . 33217.566 +INF -4.76E-24 60 . 35848.028 +INF -4.41E-24 ---- VAR YNET Output net of damages equation LOWER LEVEL UPPER MARGINAL 1 -INF 55.583 +INF EPS 2 -INF 69.507 +INF EPS 3 -INF 85.063 +INF EPS 4 -INF 102.139 +INF EPS 5 -INF 120.781 +INF EPS 6 -INF 141.149 +INF EPS 7 -INF 163.474 +INF EPS 8 -INF 188.034 +INF EPS 9 -INF 215.139 +INF EPS 10 -INF 245.132 +INF EPS 11 -INF 278.380 +INF EPS 12 -INF 315.323 +INF EPS 13 -INF 356.409 +INF EPS 14 -INF 402.125 +INF EPS 15 -INF 453.003 +INF EPS 16 -INF 509.638 +INF EPS 17 -INF 572.690 +INF EPS 18 -INF 642.911 +INF EPS 19 -INF 721.160 +INF EPS 20 -INF 808.431 +INF EPS 21 -INF 905.830 +INF EPS 22 -INF 1014.491 +INF EPS 23 -INF 1135.777 +INF EPS 24 -INF 1270.543 +INF EPS 25 -INF 1419.812 +INF EPS 26 -INF 1584.764 +INF EPS 27 -INF 1766.728 +INF EPS 28 -INF 1967.173 +INF EPS 29 -INF 2187.706 +INF EPS 30 -INF 2430.065 +INF EPS 31 -INF 2696.128 +INF EPS 32 -INF 2987.911 +INF EPS 33 -INF 3307.574 +INF EPS 34 -INF 3657.425 +INF EPS 35 -INF 4039.931 +INF EPS 36 -INF 4457.717 +INF EPS 37 -INF 4913.582 +INF EPS 38 -INF 5410.499 +INF EPS 39 -INF 5951.629 +INF EPS 40 -INF 6540.325 +INF EPS 41 -INF 7180.143 +INF EPS 42 -INF 7874.848 +INF EPS 43 -INF 8628.423 +INF EPS 44 -INF 9445.081 +INF EPS 45 -INF 10329.268 +INF EPS 46 -INF 11285.675 +INF EPS 47 -INF 12319.248 +INF EPS 48 -INF 13435.192 +INF EPS 49 -INF 14638.984 +INF EPS 50 -INF 15936.379 +INF EPS 51 -INF 17333.420 +INF EPS 52 -INF 18836.445 +INF EPS 53 -INF 20452.096 +INF EPS 54 -INF 22187.330 +INF EPS 55 -INF 24049.420 +INF EPS 56 -INF 26045.969 +INF EPS 57 -INF 28184.917 +INF EPS 58 -INF 30474.545 +INF EPS 59 -INF 32923.485 +INF EPS 60 -INF 35763.354 +INF EPS ---- VAR DAMAGES Damages LOWER LEVEL UPPER MARGINAL 1 -INF 0.084 +INF EPS 2 -INF 0.178 +INF EPS 3 -INF 0.328 +INF EPS 4 -INF 0.549 +INF EPS 5 -INF 0.860 +INF EPS 6 -INF 1.279 +INF EPS 7 -INF 1.827 +INF EPS 8 -INF 2.526 +INF EPS 9 -INF 3.401 +INF EPS 10 -INF 4.479 +INF EPS 11 -INF 5.787 +INF EPS 12 -INF 7.313 +INF EPS 13 -INF 9.080 +INF EPS 14 -INF 11.104 +INF EPS 15 -INF 13.394 +INF EPS 16 -INF 15.946 +INF EPS 17 -INF 18.734 +INF EPS 18 -INF 21.702 +INF EPS 19 -INF 24.748 +INF EPS 20 -INF 27.704 +INF EPS 21 -INF 30.376 +INF EPS 22 -INF 32.778 +INF EPS 23 -INF 35.120 +INF EPS 24 -INF 37.530 +INF EPS 25 -INF 40.087 +INF EPS 26 -INF 42.842 +INF EPS 27 -INF 45.828 +INF EPS 28 -INF 49.061 +INF EPS 29 -INF 52.554 +INF EPS 30 -INF 56.311 +INF EPS 31 -INF 60.337 +INF EPS 32 -INF 64.635 +INF EPS 33 -INF 69.205 +INF EPS 34 -INF 74.050 +INF EPS 35 -INF 79.171 +INF EPS 36 -INF 84.572 +INF EPS 37 -INF 90.253 +INF EPS 38 -INF 96.220 +INF EPS 39 -INF 102.474 +INF EPS 40 -INF 109.020 +INF EPS 41 -INF 115.861 +INF EPS 42 -INF 123.000 +INF EPS 43 -INF 130.443 +INF EPS 44 -INF 138.194 +INF EPS 45 -INF 146.255 +INF EPS 46 -INF 154.632 +INF EPS 47 -INF 163.328 +INF EPS 48 -INF 172.348 +INF EPS 49 -INF 181.696 +INF EPS 50 -INF 191.375 +INF EPS 51 -INF 201.390 +INF EPS 52 -INF 211.744 +INF EPS 53 -INF 222.443 +INF EPS 54 -INF 233.489 +INF EPS 55 -INF 244.887 +INF EPS 56 -INF 256.641 +INF EPS 57 -INF 268.755 +INF EPS 58 -INF 281.233 +INF EPS 59 -INF 294.080 +INF EPS 60 -INF 84.674 +INF EPS ---- VAR ABATECOST Cost of emissions reductions LOWER LEVEL UPPER MARGINAL 1 -INF 1.3292E-5 +INF EPS 2 -INF 0.020 +INF EPS 3 -INF 0.035 +INF EPS 4 -INF 0.057 +INF EPS 5 -INF 0.088 +INF EPS 6 -INF 0.133 +INF EPS 7 -INF 0.195 +INF EPS 8 -INF 0.279 +INF EPS 9 -INF 0.393 +INF EPS 10 -INF 0.545 +INF EPS 11 -INF 0.747 +INF EPS 12 -INF 1.014 +INF EPS 13 -INF 1.367 +INF EPS 14 -INF 1.833 +INF EPS 15 -INF 2.448 +INF EPS 16 -INF 3.258 +INF EPS 17 -INF 4.326 +INF EPS 18 -INF 5.735 +INF EPS 19 -INF 7.588 +INF EPS 20 -INF 10.018 +INF EPS 21 -INF 12.532 +INF EPS 22 -INF 13.317 +INF EPS 23 -INF 14.166 +INF EPS 24 -INF 15.081 +INF EPS 25 -INF 16.063 +INF EPS 26 -INF 17.116 +INF EPS 27 -INF 18.243 +INF EPS 28 -INF 19.450 +INF EPS 29 -INF 20.740 +INF EPS 30 -INF 22.120 +INF EPS 31 -INF 23.595 +INF EPS 32 -INF 25.172 +INF EPS 33 -INF 26.858 +INF EPS 34 -INF 28.658 +INF EPS 35 -INF 30.582 +INF EPS 36 -INF 32.636 +INF EPS 37 -INF 34.829 +INF EPS 38 -INF 37.170 +INF EPS 39 -INF 39.668 +INF EPS 40 -INF 42.332 +INF EPS 41 -INF 45.174 +INF EPS 42 -INF 48.203 +INF EPS 43 -INF 51.431 +INF EPS 44 -INF 54.870 +INF EPS 45 -INF 58.532 +INF EPS 46 -INF 62.430 +INF EPS 47 -INF 66.578 +INF EPS 48 -INF 70.991 +INF EPS 49 -INF 75.683 +INF EPS 50 -INF 80.669 +INF EPS 51 -INF 85.967 +INF EPS 52 -INF 91.593 +INF EPS 53 -INF 97.566 +INF EPS 54 -INF 103.903 +INF EPS 55 -INF 110.625 +INF EPS 56 -INF 117.751 +INF EPS 57 -INF 125.303 +INF EPS 58 -INF 133.302 +INF EPS 59 -INF 141.771 +INF EPS 60 -INF -2.227E-9 +INF EPS ---- VAR CCA Cumulative industrial carbon emissions GTC LOWER LEVEL UPPER MARGINAL 1 . . 6000.000 -1.582E-9 2 . 85.320 6000.000 -1.83E-21 3 . 168.708 6000.000 -9.11E-22 4 . 259.321 6000.000 -5.83E-22 5 . 356.343 6000.000 -4.16E-22 6 . 458.921 6000.000 -3.16E-22 7 . 566.235 6000.000 -2.50E-22 8 . 677.495 6000.000 -2.04E-22 9 . 791.920 6000.000 -1.69E-22 10 . 908.696 6000.000 -1.43E-22 11 . 1026.936 6000.000 -1.22E-22 12 . 1145.638 6000.000 -1.06E-22 13 . 1263.613 6000.000 -9.18E-23 14 . 1379.423 6000.000 -8.05E-23 15 . 1491.321 6000.000 -7.10E-23 16 . 1597.177 6000.000 -6.31E-23 17 . 1694.408 6000.000 -5.66E-23 18 . 1779.882 6000.000 -5.14E-23 19 . 1849.826 6000.000 -4.74E-23 20 . 1899.736 6000.000 -4.47E-23 21 . 1924.363 6000.000 -4.34E-23 22 . 1925.700 6000.000 -4.33E-23 23 . 1926.904 6000.000 -4.33E-23 24 . 1927.987 6000.000 -4.32E-23 25 . 1928.962 6000.000 -4.32E-23 26 . 1929.839 6000.000 -4.31E-23 27 . 1930.629 6000.000 -4.31E-23 28 . 1931.340 6000.000 -4.30E-23 29 . 1931.979 6000.000 -4.30E-23 30 . 1932.555 6000.000 -4.30E-23 31 . 1933.073 6000.000 -4.30E-23 32 . 1933.539 6000.000 -4.29E-23 33 . 1933.959 6000.000 -4.29E-23 34 . 1934.337 6000.000 -4.29E-23 35 . 1934.677 6000.000 -4.29E-23 36 . 1934.983 6000.000 -4.29E-23 37 . 1935.258 6000.000 -4.28E-23 38 . 1935.506 6000.000 -4.28E-23 39 . 1935.729 6000.000 -4.28E-23 40 . 1935.930 6000.000 -4.28E-23 41 . 1936.110 6000.000 -4.28E-23 42 . 1936.273 6000.000 -4.28E-23 43 . 1936.419 6000.000 -4.28E-23 44 . 1936.551 6000.000 -4.28E-23 45 . 1936.669 6000.000 -4.28E-23 46 . 1936.776 6000.000 -4.28E-23 47 . 1936.872 6000.000 -4.28E-23 48 . 1936.959 6000.000 -4.28E-23 49 . 1937.036 6000.000 -4.27E-23 50 . 1937.106 6000.000 -4.27E-23 51 . 1937.169 6000.000 -4.27E-23 52 . 1937.226 6000.000 -4.27E-23 53 . 1937.277 6000.000 -4.27E-23 54 . 1937.323 6000.000 -4.27E-23 55 . 1937.364 6000.000 -4.27E-23 56 . 1937.401 6000.000 -4.27E-23 57 . 1937.435 6000.000 -4.27E-23 58 . 1937.465 6000.000 -4.27E-23 59 . 1937.492 6000.000 -4.27E-23 60 . 1937.517 6000.000 -4.27E-23 ---- VAR PERIODU One period utility function LOWER LEVEL UPPER MARGINAL 1 -INF -149.250 +INF EPS 2 -INF -130.552 +INF EPS 3 -INF -113.051 +INF EPS 4 -INF -97.840 +INF EPS 5 -INF -84.889 +INF EPS 6 -INF -73.891 +INF EPS 7 -INF -64.520 +INF EPS 8 -INF -56.494 +INF EPS 9 -INF -49.584 +INF EPS 10 -INF -43.608 +INF EPS 11 -INF -38.420 +INF EPS 12 -INF -33.895 +INF EPS 13 -INF -29.939 +INF EPS 14 -INF -26.470 +INF EPS 15 -INF -23.423 +INF EPS 16 -INF -20.742 +INF EPS 17 -INF -18.377 +INF EPS 18 -INF -16.288 +INF EPS 19 -INF -14.439 +INF EPS 20 -INF -12.799 +INF EPS 21 -INF -11.334 +INF EPS 22 -INF -10.006 +INF EPS 23 -INF -8.825 +INF EPS 24 -INF -7.778 +INF EPS 25 -INF -6.852 +INF EPS 26 -INF -6.031 +INF EPS 27 -INF -5.304 +INF EPS 28 -INF -4.659 +INF EPS 29 -INF -4.087 +INF EPS 30 -INF -3.578 +INF EPS 31 -INF -3.125 +INF EPS 32 -INF -2.721 +INF EPS 33 -INF -2.360 +INF EPS 34 -INF -2.038 +INF EPS 35 -INF -1.750 +INF EPS 36 -INF -1.491 +INF EPS 37 -INF -1.260 +INF EPS 38 -INF -1.052 +INF EPS 39 -INF -0.865 +INF EPS 40 -INF -0.697 +INF EPS 41 -INF -0.545 +INF EPS 42 -INF -0.409 +INF EPS 43 -INF -0.285 +INF EPS 44 -INF -0.174 +INF EPS 45 -INF -0.073 +INF EPS 46 -INF 0.018 +INF EPS 47 -INF 0.100 +INF EPS 48 -INF 0.175 +INF EPS 49 -INF 0.243 +INF EPS 50 -INF 0.305 +INF EPS 51 -INF 0.361 +INF EPS 52 -INF 0.412 +INF EPS 53 -INF 0.458 +INF EPS 54 -INF 0.501 +INF EPS 55 -INF 0.539 +INF EPS 56 -INF 0.575 +INF EPS 57 -INF 0.607 +INF EPS 58 -INF 0.637 +INF EPS 59 -INF 0.664 +INF EPS 60 -INF 0.692 +INF EPS LOWER LEVEL UPPER MARGINAL ---- VAR UTILITY -INF 1.5016E+5 +INF . **** REPORT SUMMARY : 0 NONOPT 0 INFEASIBLE 0 UNBOUNDED 0 ERRORS GAMS Rev 237 LEX-LEG 23.7.1 x86_64/Linux 09/14/11 00:07:33 Page 4 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Model Statistics SOLVE CO2 Using NLP From line 307 MODEL STATISTICS BLOCKS OF EQUATIONS 30 SINGLE EQUATIONS 1,263 BLOCKS OF VARIABLES 24 SINGLE VARIABLES 1,381 NON ZERO ELEMENTS 3,767 NON LINEAR N-Z 1,080 DERIVATIVE POOL 6 CONSTANT POOL 327 CODE LENGTH 5,643 GENERATION TIME = 0.004 SECONDS 3 Mb LEX237-237 Jul 7, 2011 EXECUTION TIME = 0.009 SECONDS 3 Mb LEX237-237 Jul 7, 2011 GAMS Rev 237 LEX-LEG 23.7.1 x86_64/Linux 09/14/11 00:07:33 Page 5 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Solution Report SOLVE CO2 Using NLP From line 307 S O L V E S U M M A R Y MODEL CO2 OBJECTIVE UTILITY TYPE NLP DIRECTION MAXIMIZE SOLVER COINIPOPT FROM LINE 307 **** SOLVER STATUS 1 Normal Completion **** MODEL STATUS 2 Locally Optimal **** OBJECTIVE VALUE 150164.5594 RESOURCE USAGE, LIMIT 0.798 99999.000 ITERATION COUNT, LIMIT 57 99900 EVALUATION ERRORS 0 0 COIN-OR Ipopt Jul 14, 2011 23.7.1 LEX 26788.26792 LEG x86_64/Linux ---- EQU CCTFIRST First period cumulative carbon LOWER LEVEL UPPER MARGINAL 1 . . . 5.922E-10 ---- EQU CCACCA Cumulative carbon emissions LOWER LEVEL UPPER MARGINAL 2 . . . 2.721E-21 3 . . . 2.037E-21 4 . . . 1.696E-21 5 . . . 1.478E-21 6 . . . 1.322E-21 7 . . . 1.204E-21 8 . . . 1.110E-21 9 . . . 1.034E-21 10 . . . 9.703E-22 11 . . . 9.168E-22 12 . . . 8.710E-22 13 . . . 8.315E-22 14 . . . 7.972E-22 15 . . . 7.671E-22 16 . . . 7.405E-22 17 . . . 7.169E-22 18 . . . 6.957E-22 19 . . . 6.764E-22 20 . . . 6.587E-22 21 . . . 6.419E-22 22 . . . 6.257E-22 23 . . . 6.095E-22 24 . . . 5.933E-22 25 . . . 5.771E-22 26 . . . 5.610E-22 27 . . . 5.448E-22 28 . . . 5.287E-22 29 . . . 5.126E-22 30 . . . 4.965E-22 31 . . . 4.804E-22 32 . . . 4.643E-22 33 . . . 4.483E-22 34 . . . 4.322E-22 35 . . . 4.162E-22 36 . . . 4.001E-22 37 . . . 3.841E-22 38 . . . 3.680E-22 39 . . . 3.520E-22 40 . . . 3.360E-22 41 . . . 3.200E-22 42 . . . 3.040E-22 43 . . . 2.879E-22 44 . . . 2.719E-22 45 . . . 2.559E-22 46 . . . 2.399E-22 47 . . . 2.239E-22 48 . . . 2.079E-22 49 . . . 1.919E-22 50 . . . 1.759E-22 51 . . . 1.599E-22 52 . . . 1.439E-22 53 . . . 1.279E-22 54 . . . 1.119E-22 55 . . . 9.594E-23 56 . . . 7.995E-23 57 . . . 6.396E-23 58 . . . 4.797E-23 59 . . . 3.198E-23 60 . . . 1.599E-23 LOWER LEVEL UPPER MARGINAL ---- EQU UTIL 3.8180E+5 3.8180E+5 3.8180E+5 1.000 UTIL Objective function ---- EQU YY Output net equation LOWER LEVEL UPPER MARGINAL 1 . . . 1171.331 2 . . . 765.926 3 . . . 493.212 4 . . . 318.074 5 . . . 206.510 6 . . . 135.112 7 . . . 89.038 8 . . . 59.050 9 . . . 39.380 10 . . . 26.388 11 . . . 17.758 12 . . . 11.993 13 . . . 8.126 14 . . . 5.522 15 . . . 3.763 16 . . . 2.571 17 . . . 1.761 18 . . . 1.208 19 . . . 0.831 20 . . . 0.572 21 . . . 0.394 22 . . . 0.270 23 . . . 0.186 24 . . . 0.128 25 . . . 0.088 26 . . . 0.061 27 . . . 0.042 28 . . . 0.029 29 . . . 0.020 30 . . . 0.014 31 . . . 0.010 32 . . . 0.007 33 . . . 0.005 34 . . . 0.003 35 . . . 0.002 36 . . . 0.002 37 . . . 0.001 38 . -1.023E-8 . 8.7205E-4 39 . -1.092E-8 . 6.2094E-4 40 . -1.166E-8 . 4.4304E-4 41 . -1.245E-8 . 3.1674E-4 42 . -1.329E-8 . 2.2689E-4 43 . -1.419E-8 . 1.6285E-4 44 . -1.514E-8 . 1.1710E-4 45 . -1.616E-8 . 8.4372E-5 46 . -1.724E-8 . 6.0903E-5 47 . -1.840E-8 . 4.4044E-5 48 . -1.963E-8 . 3.1911E-5 49 . -2.093E-8 . 2.3162E-5 50 . -2.232E-8 . 1.6842E-5 51 . -2.380E-8 . 1.2267E-5 52 . -2.536E-8 . 8.9506E-6 53 . -2.703E-8 . 6.5408E-6 54 . -2.879E-8 . 4.7861E-6 55 . -3.066E-8 . 3.5047E-6 56 . -3.265E-8 . 2.5646E-6 57 . -3.475E-8 . 1.8693E-6 58 . -3.699E-8 . 1.3461E-6 59 . -3.935E-8 . 9.3789E-7 60 . . . 5.8514E-7 ---- EQU YNETEQ Output net of damages equation LOWER LEVEL UPPER MARGINAL 1 . . . EPS 2 . . . EPS 3 . . . EPS 4 . . . EPS 5 . . . EPS 6 . . . EPS 7 . . . EPS 8 . . . EPS 9 . . . EPS 10 . . . EPS 11 . . . EPS 12 . . . EPS 13 . . . EPS 14 . . . EPS 15 . . . EPS 16 . . . EPS 17 . . . EPS 18 . . . EPS 19 . . . EPS 20 . . . EPS 21 . . . EPS 22 . . . EPS 23 . . . EPS 24 . . . EPS 25 . . . EPS 26 . . . EPS 27 . . . EPS 28 . . . EPS 29 . . . EPS 30 . . . EPS 31 . . . EPS 32 . . . EPS 33 . . . EPS 34 . . . EPS 35 . . . EPS 36 . . . EPS 37 . . . EPS 38 . . . EPS 39 . . . EPS 40 . . . EPS 41 . . . EPS 42 . . . EPS 43 . . . EPS 44 . . . EPS 45 . . . EPS 46 . . . EPS 47 . . . EPS 48 . . . EPS 49 . . . EPS 50 . . . EPS 51 . . . EPS 52 . . . EPS 53 . . . EPS 54 . . . EPS 55 . . . EPS 56 . . . EPS 57 . . . EPS 58 . . . EPS 59 . . . EPS 60 . . . EPS ---- EQU YGROSSEQ Output gross equation LOWER LEVEL UPPER MARGINAL 1 . . . 1169.558 2 . . . 763.742 3 . . . 491.118 4 . . . 316.199 5 . . . 204.902 6 . . . 133.773 7 . . . 87.950 8 . . . 58.182 9 . . . 38.697 10 . . . 25.858 11 . . . 17.351 12 . . . 11.684 13 . . . 7.894 14 . . . 5.350 15 . . . 3.636 16 . . . 2.477 17 . . . 1.692 18 . . . 1.159 19 . . . 0.795 20 . . . 0.546 21 . . . 0.376 22 . . . 0.258 23 . . . 0.178 24 . . . 0.123 25 . . . 0.085 26 . . . 0.059 27 . . . 0.041 28 . . . 0.028 29 . . . 0.020 30 . . . 0.014 31 . . . 0.010 32 . . . 0.007 33 . . . 0.005 34 . . . 0.003 35 . . . 0.002 36 . . . 0.002 37 . . . 0.001 38 . . . 8.5103E-4 39 . . . 6.0643E-4 40 . . . 4.3300E-4 41 . . . 3.0978E-4 42 . . . 2.2205E-4 43 . . . 1.5948E-4 44 . . . 1.1476E-4 45 . . . 8.2730E-5 46 . . . 5.9752E-5 47 . . . 4.3236E-5 48 . . . 3.1342E-5 49 . . . 2.2761E-5 50 . . . 1.6558E-5 51 . . . 1.2067E-5 52 . . . 8.8085E-6 53 . . . 6.4399E-6 54 . . . 4.7143E-6 55 . . . 3.4535E-6 56 . . . 2.5282E-6 57 . . . 1.8435E-6 58 . . . 1.3280E-6 59 . . . 9.2562E-7 60 . . . 5.8376E-7 ---- EQU DAMEQ Damage equation LOWER LEVEL UPPER MARGINAL 1 . . . EPS 2 . . . EPS 3 . . . EPS 4 . . . EPS 5 . . . EPS 6 . . . EPS 7 . . . EPS 8 . . . EPS 9 . . . EPS 10 . . . EPS 11 . . . EPS 12 . . . EPS 13 . . . EPS 14 . . . EPS 15 . . . EPS 16 . . . EPS 17 . . . EPS 18 . . . EPS 19 . . . EPS 20 . . . EPS 21 . . . EPS 22 . . . EPS 23 . . . EPS 24 . . . EPS 25 . . . EPS 26 . . . EPS 27 . . . EPS 28 . . . EPS 29 . . . EPS 30 . . . EPS 31 . . . EPS 32 . . . EPS 33 . . . EPS 34 . . . EPS 35 . . . EPS 36 . . . EPS 37 . . . EPS 38 . . . EPS 39 . . . EPS 40 . . . EPS 41 . . . EPS 42 . . . EPS 43 . . . EPS 44 . . . EPS 45 . . . EPS 46 . . . EPS 47 . . . EPS 48 . . . EPS 49 . . . EPS 50 . . . EPS 51 . . . EPS 52 . . . EPS 53 . . . EPS 54 . . . EPS 55 . . . EPS 56 . . . EPS 57 . . . EPS 58 . . . EPS 59 . . . EPS 60 . . . EPS ---- EQU ABATEEQ Cost of emissions reductions equation LOWER LEVEL UPPER MARGINAL 1 . . . EPS 2 . . . EPS 3 . . . EPS 4 . . . EPS 5 . . . EPS 6 . . . EPS 7 . . . EPS 8 . . . EPS 9 . . . EPS 10 . . . EPS 11 . . . EPS 12 . . . EPS 13 . . . EPS 14 . . . EPS 15 . . . EPS 16 . . . EPS 17 . . . EPS 18 . . . EPS 19 . . . EPS 20 . . . EPS 21 . . . EPS 22 . . . EPS 23 . . . EPS 24 . . . EPS 25 . . . EPS 26 . . . EPS 27 . . . EPS 28 . . . EPS 29 . . . EPS 30 . . . EPS 31 . . . EPS 32 . . . EPS 33 . . . EPS 34 . . . EPS 35 . . . EPS 36 . . . EPS 37 . . . EPS 38 . 1.0408E-8 . EPS 39 . 1.1107E-8 . EPS 40 . 1.1853E-8 . EPS 41 . 1.2649E-8 . EPS 42 . 1.3497E-8 . EPS 43 . 1.4401E-8 . EPS 44 . 1.5364E-8 . EPS 45 . 1.6389E-8 . EPS 46 . 1.7480E-8 . EPS 47 . 1.8642E-8 . EPS 48 . 1.9877E-8 . EPS 49 . 2.1191E-8 . EPS 50 . 2.2587E-8 . EPS 51 . 2.4071E-8 . EPS 52 . 2.5646E-8 . EPS 53 . 2.7318E-8 . EPS 54 . 2.9093E-8 . EPS 55 . 3.0975E-8 . EPS 56 . 3.2970E-8 . EPS 57 . 3.5085E-8 . EPS 58 . 3.7325E-8 . EPS 59 . 3.9696E-8 . EPS 60 . . . EPS ---- EQU CC Consumption equation LOWER LEVEL UPPER MARGINAL 1 . . . 1163.668 2 . . . 768.654 3 . . . 497.827 4 . . . 322.167 5 . . . 209.618 6 . . . 137.327 7 . . . 90.569 8 . . . 60.092 9 . . . 40.081 10 . . . 26.859 11 . . . 18.073 12 . . . 12.203 13 . . . 8.266 14 . . . 5.615 15 . . . 3.824 16 . . . 2.611 17 . . . 1.787 18 . . . 1.226 19 . . . 0.842 20 . . . 0.580 21 . . . 0.399 22 . . . 0.274 23 . . . 0.188 24 . . . 0.129 25 . . . 0.089 26 . . . 0.062 27 . . . 0.043 28 . . . 0.030 29 . . . 0.021 30 . . . 0.014 31 . . . 0.010 32 . . . 0.007 33 . . . 0.005 34 . . . 0.003 35 . . . 0.002 36 . . . 0.002 37 . . . 0.001 38 . . . 8.7898E-4 39 . . . 6.2567E-4 40 . . . 4.4627E-4 41 . . . 3.1895E-4 42 . . . 2.2840E-4 43 . . . 1.6388E-4 44 . . . 1.1781E-4 45 . . . 8.4855E-5 46 . . . 6.1233E-5 47 . . . 4.4269E-5 48 . . . 3.2064E-5 49 . . . 2.3266E-5 50 . . . 1.6913E-5 51 . . . 1.2316E-5 52 . . . 8.9849E-6 53 . . . 6.5659E-6 54 . . . 4.8065E-6 55 . . . 3.5245E-6 56 . . . 2.5888E-6 57 . . . 1.9047E-6 58 . . . 1.4037E-6 59 . . . 1.0361E-6 60 . . . 7.5018E-7 ---- EQU KK Capital balance equation LOWER LEVEL UPPER MARGINAL 1 -INF . . 119.850 2 -INF . . 75.625 3 -INF . . 47.685 4 -INF . . 30.356 5 -INF . . 19.549 6 -INF . . 12.726 7 -INF . . 8.361 8 -INF . . 5.536 9 -INF . . 3.689 10 -INF . . 2.472 11 -INF . . 1.664 12 -INF . . 1.125 13 -INF . . 0.763 14 -INF . . 0.519 15 -INF . . 0.355 16 -INF . . 0.243 17 -INF . . 0.167 18 -INF . . 0.115 19 -INF . . 0.079 20 -INF . . 0.054 21 -INF . . 0.037 22 -INF . . 0.026 23 -INF . . 0.018 24 -INF . . 0.012 25 -INF . . 0.008 26 -INF . . 0.006 27 -INF . . 0.004 28 -INF . . 0.003 29 -INF . . 0.002 30 -INF . . 0.001 31 -INF . . 9.6039E-4 32 -INF . . 6.7451E-4 33 -INF . . 4.7479E-4 34 -INF . . 3.3495E-4 35 -INF . . 2.3681E-4 36 -INF . . 1.6778E-4 37 -INF . . 1.1912E-4 38 -INF . . 8.4748E-5 39 -INF . . 6.0417E-5 40 -INF . . 4.3158E-5 41 -INF . . 3.0891E-5 42 -INF . . 2.2154E-5 43 -INF . . 1.5919E-5 44 -INF . . 1.1460E-5 45 -INF . . 8.2663E-6 46 -INF . . 5.9735E-6 47 -INF . . 4.3247E-6 48 -INF . . 3.1367E-6 49 -INF . . 2.2791E-6 50 -INF . . 1.6588E-6 51 -INF . . 1.2093E-6 52 -INF . . 8.8288E-7 53 -INF . . 6.4517E-7 54 -INF . . 4.7138E-7 55 -INF . . 3.4343E-7 56 -INF . . 2.4789E-7 57 -INF . . 1.7438E-7 58 -INF . . 1.1420E-7 59 -INF . . 5.8965E-8 60 -INF -1.158E+5 . -8.08E-26 ---- EQU KK0 Initial condition for capital LOWER LEVEL UPPER MARGINAL 1 137.000 137.000 137.000 183.833 ---- EQU KC Terminal condition for capital LOWER LEVEL UPPER MARGINAL 60 -INF -5738.559 . 9.728E-24 ---- EQU CPCE Per capita consumption definition LOWER LEVEL UPPER MARGINAL 1 . . . EPS 2 . . . EPS 3 . . . EPS 4 . . . EPS 5 . . . EPS 6 . . . EPS 7 . . . EPS 8 . . . EPS 9 . . . EPS 10 . . . EPS 11 . . . EPS 12 . . . EPS 13 . . . EPS 14 . . . EPS 15 . . . EPS 16 . . . EPS 17 . . . EPS 18 . . . EPS 19 . . . EPS 20 . . . EPS 21 . . . EPS 22 . . . EPS 23 . . . EPS 24 . . . EPS 25 . . . EPS 26 . . . EPS 27 . . . EPS 28 . . . EPS 29 . . . EPS 30 . . . EPS 31 . . . EPS 32 . . . EPS 33 . . . EPS 34 . . . EPS 35 . . . EPS 36 . . . EPS 37 . . . EPS 38 . . . EPS 39 . . . EPS 40 . . . EPS 41 . . . EPS 42 . . . EPS 43 . . . EPS 44 . . . EPS 45 . . . EPS 46 . . . EPS 47 . . . EPS 48 . . . EPS 49 . . . EPS 50 . . . EPS 51 . . . EPS 52 . . . EPS 53 . . . EPS 54 . . . EPS 55 . . . EPS 56 . . . EPS 57 . . . EPS 58 . . . EPS 59 . . . EPS 60 . . . EPS ---- EQU PCYE Per capita income definition LOWER LEVEL UPPER MARGINAL 1 . . . EPS 2 . . . EPS 3 . . . EPS 4 . . . EPS 5 . . . EPS 6 . . . EPS 7 . . . EPS 8 . . . EPS 9 . . . EPS 10 . . . EPS 11 . . . EPS 12 . . . EPS 13 . . . EPS 14 . . . EPS 15 . . . EPS 16 . . . EPS 17 . . . EPS 18 . . . EPS 19 . . . EPS 20 . . . EPS 21 . . . EPS 22 . . . EPS 23 . . . EPS 24 . . . EPS 25 . . . EPS 26 . . . EPS 27 . . . EPS 28 . . . EPS 29 . . . EPS 30 . . . EPS 31 . . . EPS 32 . . . EPS 33 . . . EPS 34 . . . EPS 35 . . . EPS 36 . . . EPS 37 . . . EPS 38 . . . EPS 39 . . . EPS 40 . . . EPS 41 . . . EPS 42 . . . EPS 43 . . . EPS 44 . . . EPS 45 . . . EPS 46 . . . EPS 47 . . . EPS 48 . . . EPS 49 . . . EPS 50 . . . EPS 51 . . . EPS 52 . . . EPS 53 . . . EPS 54 . . . EPS 55 . . . EPS 56 . . . EPS 57 . . . EPS 58 . . . EPS 59 . . . EPS 60 . . . EPS ---- EQU EE Emissions equation LOWER LEVEL UPPER MARGINAL 1 11.000 11.000 11.000 -3.215 2 9.900 9.900 9.900 -3.163 3 8.910 8.910 8.910 -2.598 4 8.019 8.019 8.019 -2.100 5 7.217 7.217 7.217 -1.679 6 6.495 6.495 6.495 -1.330 7 5.846 5.846 5.846 -1.048 8 5.261 5.261 5.261 -0.821 9 4.735 4.735 4.735 -0.641 10 4.262 4.262 4.262 -0.499 11 3.835 3.835 3.835 -0.388 12 3.452 3.452 3.452 -0.301 13 3.107 3.107 3.107 -0.233 14 2.796 2.796 2.796 -0.181 15 2.516 2.516 2.516 -0.141 16 2.265 2.265 2.265 -0.109 17 2.038 2.038 2.038 -0.085 18 1.834 1.834 1.834 -0.066 19 1.651 1.651 1.651 -0.052 20 1.486 1.486 1.486 -0.040 21 1.337 1.337 1.337 -0.031 22 1.204 1.204 1.204 -0.024 23 1.083 1.083 1.083 -0.019 24 0.975 0.975 0.975 -0.015 25 0.877 0.877 0.877 -0.011 26 0.790 0.790 0.790 -0.009 27 0.711 0.711 0.711 -0.007 28 0.640 0.640 0.640 -0.005 29 0.576 0.576 0.576 -0.004 30 0.518 0.518 0.518 -0.003 31 0.466 0.466 0.466 -0.002 32 0.420 0.420 0.420 -0.002 33 0.378 0.378 0.378 -0.002 34 0.340 0.340 0.340 -0.001 35 0.306 0.306 0.306 -9.202E-4 36 0.275 0.275 0.275 -7.183E-4 37 0.248 0.248 0.248 -5.610E-4 38 0.223 0.223 0.223 -4.384E-4 39 0.201 0.201 0.201 -3.427E-4 40 0.181 0.181 0.181 -2.680E-4 41 0.163 0.163 0.163 -2.097E-4 42 0.146 0.146 0.146 -1.641E-4 43 0.132 0.132 0.132 -1.284E-4 44 0.119 0.119 0.119 -1.004E-4 45 0.107 0.107 0.107 -7.851E-5 46 0.096 0.096 0.096 -6.133E-5 47 0.086 0.086 0.086 -4.784E-5 48 0.078 0.078 0.078 -3.724E-5 49 0.070 0.070 0.070 -2.890E-5 50 0.063 0.063 0.063 -2.232E-5 51 0.057 0.057 0.057 -1.713E-5 52 0.051 0.051 0.051 -1.302E-5 53 0.046 0.046 0.046 -9.751E-6 54 0.041 0.041 0.041 -7.148E-6 55 0.037 0.037 0.037 -5.071E-6 56 0.033 0.033 0.033 -3.415E-6 57 0.030 0.030 0.030 -2.110E-6 58 0.027 0.027 0.027 -1.119E-6 59 0.024 0.024 0.024 -4.387E-7 60 0.022 0.022 0.022 8.045E-24 ---- EQU SEQ Savings rate equation LOWER LEVEL UPPER MARGINAL 1 . . . -1936.027 2 . . . 861.920 3 . . . 1783.439 4 . . . 1899.055 5 . . . 1704.734 6 . . . 1419.982 7 . . . 1136.676 8 . . . 888.848 9 . . . 684.995 10 . . . 523.046 11 . . . 397.279 12 . . . 300.017 13 . . . 225.496 14 . . . 168.762 15 . . . 125.768 16 . . . 93.321 17 . . . 68.964 18 . . . 50.866 19 . . . 37.741 20 . . . 28.808 21 . . . 22.719 22 . . . 17.073 23 . . . 12.776 24 . . . 9.544 25 . . . 7.127 26 . . . 5.325 27 . . . 3.981 28 . . . 2.980 29 . . . 2.232 30 . . . 1.673 31 . . . 1.255 32 . . . 0.942 33 . . . 0.707 34 . . . 0.531 35 . . . 0.399 36 . . . 0.300 37 . . . 0.225 38 . . . 0.169 39 . . . 0.127 40 . . . 0.095 41 . . . 0.072 42 . . . 0.054 43 . . . 0.040 44 . . . 0.030 45 . . . 0.023 46 . . . 0.017 47 . . . 0.013 48 . . . 0.009 49 . . . 0.007 50 . . . 0.005 51 . . . 0.004 52 . . . 0.003 53 . . . 0.002 54 . . . 0.002 55 . . . 0.002 56 . . . 0.003 57 . . . 0.005 58 . . . 0.008 59 . . . 0.015 60 . . . 0.027 ---- EQU RIEQ Interest rate equation LOWER LEVEL UPPER MARGINAL 1 -0.065 -0.065 -0.065 EPS 2 -0.065 -0.065 -0.065 EPS 3 -0.065 -0.065 -0.065 EPS 4 -0.065 -0.065 -0.065 EPS 5 -0.065 -0.065 -0.065 EPS 6 -0.065 -0.065 -0.065 EPS 7 -0.065 -0.065 -0.065 EPS 8 -0.065 -0.065 -0.065 EPS 9 -0.065 -0.065 -0.065 EPS 10 -0.065 -0.065 -0.065 EPS 11 -0.065 -0.065 -0.065 EPS 12 -0.065 -0.065 -0.065 EPS 13 -0.065 -0.065 -0.065 EPS 14 -0.065 -0.065 -0.065 EPS 15 -0.065 -0.065 -0.065 EPS 16 -0.065 -0.065 -0.065 EPS 17 -0.065 -0.065 -0.065 EPS 18 -0.065 -0.065 -0.065 EPS 19 -0.065 -0.065 -0.065 EPS 20 -0.065 -0.065 -0.065 EPS 21 -0.065 -0.065 -0.065 EPS 22 -0.065 -0.065 -0.065 EPS 23 -0.065 -0.065 -0.065 EPS 24 -0.065 -0.065 -0.065 EPS 25 -0.065 -0.065 -0.065 EPS 26 -0.065 -0.065 -0.065 EPS 27 -0.065 -0.065 -0.065 EPS 28 -0.065 -0.065 -0.065 EPS 29 -0.065 -0.065 -0.065 EPS 30 -0.065 -0.065 -0.065 EPS 31 -0.065 -0.065 -0.065 EPS 32 -0.065 -0.065 -0.065 EPS 33 -0.065 -0.065 -0.065 EPS 34 -0.065 -0.065 -0.065 EPS 35 -0.065 -0.065 -0.065 EPS 36 -0.065 -0.065 -0.065 EPS 37 -0.065 -0.065 -0.065 EPS 38 -0.065 -0.065 -0.065 EPS 39 -0.065 -0.065 -0.065 EPS 40 -0.065 -0.065 -0.065 EPS 41 -0.065 -0.065 -0.065 EPS 42 -0.065 -0.065 -0.065 EPS 43 -0.065 -0.065 -0.065 EPS 44 -0.065 -0.065 -0.065 EPS 45 -0.065 -0.065 -0.065 EPS 46 -0.065 -0.065 -0.065 EPS 47 -0.065 -0.065 -0.065 EPS 48 -0.065 -0.065 -0.065 EPS 49 -0.065 -0.065 -0.065 EPS 50 -0.065 -0.065 -0.065 EPS 51 -0.065 -0.065 -0.065 EPS 52 -0.065 -0.065 -0.065 EPS 53 -0.065 -0.065 -0.065 EPS 54 -0.065 -0.065 -0.065 EPS 55 -0.065 -0.065 -0.065 EPS 56 -0.065 -0.065 -0.065 EPS 57 -0.065 -0.065 -0.065 EPS 58 -0.065 -0.065 -0.065 EPS 59 -0.065 -0.065 -0.065 EPS 60 -0.065 -0.065 -0.065 EPS ---- EQU FORCE Radiative forcing equation LOWER LEVEL UPPER MARGINAL 1 -0.060 -0.060 -0.060 EPS 2 -0.024 -0.024 -0.024 -162.038 3 0.012 0.012 0.012 -147.992 4 0.048 0.048 0.048 -130.476 5 0.084 0.084 0.084 -112.270 6 0.120 0.120 0.120 -94.906 7 0.156 0.156 0.156 -79.147 8 0.192 0.192 0.192 -65.299 9 0.228 0.228 0.228 -53.398 10 0.264 0.264 0.264 -43.336 11 0.300 0.300 0.300 -34.924 12 0.300 0.300 0.300 -27.947 13 0.300 0.300 0.300 -22.234 14 0.300 0.300 0.300 -17.599 15 0.300 0.300 0.300 -13.864 16 0.300 0.300 0.300 -10.868 17 0.300 0.300 0.300 -8.474 18 0.300 0.300 0.300 -6.569 19 0.300 0.300 0.300 -5.057 20 0.300 0.300 0.300 -3.865 21 0.300 0.300 0.300 -2.932 22 0.300 0.300 0.300 -2.215 23 0.300 0.300 0.300 -1.671 24 0.300 0.300 0.300 -1.262 25 0.300 0.300 0.300 -0.954 26 0.300 0.300 0.300 -0.723 27 0.300 0.300 0.300 -0.549 28 0.300 0.300 0.300 -0.418 29 0.300 0.300 0.300 -0.319 30 0.300 0.300 0.300 -0.244 31 0.300 0.300 0.300 -0.186 32 0.300 0.300 0.300 -0.143 33 0.300 0.300 0.300 -0.109 34 0.300 0.300 0.300 -0.084 35 0.300 0.300 0.300 -0.065 36 0.300 0.300 0.300 -0.050 37 0.300 0.300 0.300 -0.038 38 0.300 0.300 0.300 -0.030 39 0.300 0.300 0.300 -0.023 40 0.300 0.300 0.300 -0.018 41 0.300 0.300 0.300 -0.014 42 0.300 0.300 0.300 -0.011 43 0.300 0.300 0.300 -0.008 44 0.300 0.300 0.300 -0.006 45 0.300 0.300 0.300 -0.005 46 0.300 0.300 0.300 -0.004 47 0.300 0.300 0.300 -0.003 48 0.300 0.300 0.300 -0.002 49 0.300 0.300 0.300 -0.002 50 0.300 0.300 0.300 -0.001 51 0.300 0.300 0.300 -0.001 52 0.300 0.300 0.300 -8.500E-4 53 0.300 0.300 0.300 -6.600E-4 54 0.300 0.300 0.300 -5.103E-4 55 0.300 0.300 0.300 -3.912E-4 56 0.300 0.300 0.300 -2.948E-4 57 0.300 0.300 0.300 -2.148E-4 58 0.300 0.300 0.300 -1.457E-4 59 0.300 0.300 0.300 -8.313E-5 60 0.300 0.300 0.300 -2.381E-5 ---- EQU MMAT0 Starting atmospheric concentration LOWER LEVEL UPPER MARGINAL 1 808.900 808.900 808.900 -2.792 ---- EQU MMAT Atmospheric concentration equation LOWER LEVEL UPPER MARGINAL 2 . . . -3.215 3 . . . -3.163 4 . . . -2.598 5 . . . -2.100 6 . . . -1.679 7 . . . -1.330 8 . . . -1.048 9 . . . -0.821 10 . . . -0.641 11 . . . -0.499 12 . . . -0.388 13 . . . -0.301 14 . . . -0.233 15 . . . -0.181 16 . . . -0.141 17 . . . -0.109 18 . . . -0.085 19 . . . -0.066 20 . . . -0.052 21 . . . -0.040 22 . . . -0.031 23 . . . -0.024 24 . . . -0.019 25 . . . -0.015 26 . . . -0.011 27 . . . -0.009 28 . . . -0.007 29 . . . -0.005 30 . . . -0.004 31 . . . -0.003 32 . . . -0.002 33 . . . -0.002 34 . . . -0.002 35 . . . -0.001 36 . . . -9.202E-4 37 . . . -7.183E-4 38 . . . -5.610E-4 39 . . . -4.384E-4 40 . . . -3.427E-4 41 . . . -2.680E-4 42 . . . -2.097E-4 43 . . . -1.641E-4 44 . . . -1.284E-4 45 . . . -1.004E-4 46 . . . -7.851E-5 47 . . . -6.133E-5 48 . . . -4.784E-5 49 . . . -3.724E-5 50 . . . -2.890E-5 51 . . . -2.232E-5 52 . . . -1.713E-5 53 . . . -1.302E-5 54 . . . -9.751E-6 55 . . . -7.148E-6 56 . . . -5.071E-6 57 . . . -3.415E-6 58 . . . -2.110E-6 59 . . . -1.119E-6 60 . . . -4.387E-7 ---- EQU MMATAVEQ Average concentrations equation LOWER LEVEL UPPER MARGINAL 1 . . . 7.025E-23 2 . . . -1.003 3 . . . -0.872 4 . . . -0.732 5 . . . -0.600 6 . . . -0.485 7 . . . -0.387 8 . . . -0.307 9 . . . -0.241 10 . . . -0.189 11 . . . -0.148 12 . . . -0.115 13 . . . -0.089 14 . . . -0.069 15 . . . -0.053 16 . . . -0.041 17 . . . -0.032 18 . . . -0.025 19 . . . -0.019 20 . . . -0.015 21 . . . -0.012 22 . . . -0.009 23 . . . -0.007 24 . . . -0.006 25 . . . -0.004 26 . . . -0.003 27 . . . -0.003 28 . . . -0.002 29 . . . -0.002 30 . . . -0.001 31 . . . -9.418E-4 32 . . . -7.317E-4 33 . . . -5.690E-4 34 . . . -4.428E-4 35 . . . -3.449E-4 36 . . . -2.688E-4 37 . . . -2.097E-4 38 . . . -1.637E-4 39 . . . -1.278E-4 40 . . . -0.999E-4 41 . . . -7.813E-5 42 . . . -6.114E-5 43 . . . -4.788E-5 44 . . . -3.751E-5 45 . . . -2.941E-5 46 . . . -2.307E-5 47 . . . -1.811E-5 48 . . . -1.422E-5 49 . . . -1.117E-5 50 . . . -8.770E-6 51 . . . -6.887E-6 52 . . . -5.403E-6 53 . . . -4.230E-6 54 . . . -3.296E-6 55 . . . -2.547E-6 56 . . . -1.934E-6 57 . . . -1.419E-6 58 . . . -9.697E-7 59 . . . -5.572E-7 60 . . . -3.203E-7 ---- EQU MMU0 Initial shallow ocean concentration LOWER LEVEL UPPER MARGINAL 1 1255.000 1255.000 1255.000 -1.148 ---- EQU MMU Shallow ocean concentration LOWER LEVEL UPPER MARGINAL 2 . . . -0.980 3 . . . -0.788 4 . . . -0.627 5 . . . -0.495 6 . . . -0.389 7 . . . -0.305 8 . . . -0.238 9 . . . -0.185 10 . . . -0.144 11 . . . -0.112 12 . . . -0.087 13 . . . -0.067 14 . . . -0.052 15 . . . -0.041 16 . . . -0.032 17 . . . -0.025 18 . . . -0.019 19 . . . -0.015 20 . . . -0.012 21 . . . -0.009 22 . . . -0.007 23 . . . -0.005 24 . . . -0.004 25 . . . -0.003 26 . . . -0.003 27 . . . -0.002 28 . . . -0.002 29 . . . -0.001 30 . . . -9.297E-4 31 . . . -7.242E-4 32 . . . -5.645E-4 33 . . . -4.403E-4 34 . . . -3.436E-4 35 . . . -2.683E-4 36 . . . -2.096E-4 37 . . . -1.637E-4 38 . . . -1.280E-4 39 . . . -1.000E-4 40 . . . -7.818E-5 41 . . . -6.108E-5 42 . . . -4.770E-5 43 . . . -3.721E-5 44 . . . -2.898E-5 45 . . . -2.252E-5 46 . . . -1.745E-5 47 . . . -1.347E-5 48 . . . -1.033E-5 49 . . . -7.866E-6 50 . . . -5.927E-6 51 . . . -4.403E-6 52 . . . -3.210E-6 53 . . . -2.279E-6 54 . . . -1.561E-6 55 . . . -1.015E-6 56 . . . -6.125E-7 57 . . . -3.289E-7 58 . . . -1.452E-7 59 . . . -4.265E-8 60 . . . 4.079E-23 ---- EQU MML0 Initial lower ocean concentration LOWER LEVEL UPPER MARGINAL 1 18365.000 18365.000 18365.000 -0.014 ---- EQU MML Lower ocean concentration LOWER LEVEL UPPER MARGINAL 2 . . . -0.011 3 . . . -0.009 4 . . . -0.007 5 . . . -0.005 6 . . . -0.004 7 . . . -0.003 8 . . . -0.003 9 . . . -0.002 10 . . . -0.002 11 . . . -0.001 12 . . . -9.347E-4 13 . . . -7.270E-4 14 . . . -5.657E-4 15 . . . -4.402E-4 16 . . . -3.426E-4 17 . . . -2.665E-4 18 . . . -2.072E-4 19 . . . -1.610E-4 20 . . . -1.250E-4 21 . . . -9.706E-5 22 . . . -7.535E-5 23 . . . -5.853E-5 24 . . . -4.549E-5 25 . . . -3.537E-5 26 . . . -2.752E-5 27 . . . -2.143E-5 28 . . . -1.669E-5 29 . . . -1.301E-5 30 . . . -1.014E-5 31 . . . -7.905E-6 32 . . . -6.164E-6 33 . . . -4.806E-6 34 . . . -3.746E-6 35 . . . -2.918E-6 36 . . . -2.272E-6 37 . . . -1.767E-6 38 . . . -1.372E-6 39 . . . -1.063E-6 40 . . . -8.221E-7 41 . . . -6.336E-7 42 . . . -4.863E-7 43 . . . -3.715E-7 44 . . . -2.820E-7 45 . . . -2.124E-7 46 . . . -1.585E-7 47 . . . -1.168E-7 48 . . . -8.488E-8 49 . . . -6.054E-8 50 . . . -4.218E-8 51 . . . -2.854E-8 52 . . . -1.859E-8 53 . . . -1.152E-8 54 . . . -6.670E-9 55 . . . -3.514E-9 56 . . . -1.609E-9 57 . . . -5.85E-10 58 . . . -1.33E-10 59 . . . 5.139E-24 60 . . . 2.522E-24 ---- EQU TATMEQ Temperature-climate equation for atmosphere LOWER LEVEL UPPER MARGINAL 2 . . . -736.538 3 . . . -672.693 4 . . . -593.071 5 . . . -510.319 6 . . . -431.392 7 . . . -359.760 8 . . . -296.812 9 . . . -242.720 10 . . . -196.980 11 . . . -158.746 12 . . . -127.030 13 . . . -101.064 14 . . . -79.997 15 . . . -63.017 16 . . . -49.398 17 . . . -38.518 18 . . . -29.857 19 . . . -22.988 20 . . . -17.567 21 . . . -13.329 22 . . . -10.066 23 . . . -7.595 24 . . . -5.735 25 . . . -4.338 26 . . . -3.288 27 . . . -2.497 28 . . . -1.901 29 . . . -1.449 30 . . . -1.107 31 . . . -0.847 32 . . . -0.649 33 . . . -0.498 34 . . . -0.382 35 . . . -0.294 36 . . . -0.226 37 . . . -0.174 38 . . . -0.134 39 . . . -0.104 40 . . . -0.080 41 . . . -0.062 42 . . . -0.048 43 . . . -0.037 44 . . . -0.029 45 . . . -0.022 46 . . . -0.017 47 . . . -0.014 48 . . . -0.011 49 . . . -0.008 50 . . . -0.006 51 . . . -0.005 52 . . . -0.004 53 . . . -0.003 54 . . . -0.002 55 . . . -0.002 56 . . . -0.001 57 . . . -9.762E-4 58 . . . -6.623E-4 59 . . . -3.779E-4 60 . . . -1.082E-4 ---- EQU TATM0EQ Initial condition for atmospheric temperature LOWER LEVEL UPPER MARGINAL 1 0.731 0.731 0.731 -763.341 ---- EQU TOCEANEQ Temperature-climate equation for lower oceans LOWER LEVEL UPPER MARGINAL 2 . . . -219.446 3 . . . -184.261 4 . . . -152.756 5 . . . -125.342 6 . . . -101.969 7 . . . -82.342 8 . . . -66.055 9 . . . -52.669 10 . . . -41.756 11 . . . -32.925 12 . . . -25.833 13 . . . -20.171 14 . . . -15.675 15 . . . -12.122 16 . . . -9.328 17 . . . -7.143 18 . . . -5.444 19 . . . -4.134 20 . . . -3.131 21 . . . -2.370 22 . . . -1.795 23 . . . -1.362 24 . . . -1.035 25 . . . -0.788 26 . . . -0.602 27 . . . -0.460 28 . . . -0.352 29 . . . -0.270 30 . . . -0.207 31 . . . -0.159 32 . . . -0.122 33 . . . -0.094 34 . . . -0.073 35 . . . -0.056 36 . . . -0.043 37 . . . -0.033 38 . . . -0.026 39 . . . -0.020 40 . . . -0.016 41 . . . -0.012 42 . . . -0.009 43 . . . -0.007 44 . . . -0.006 45 . . . -0.004 46 . . . -0.003 47 . . . -0.003 48 . . . -0.002 49 . . . -0.002 50 . . . -0.001 51 . . . -8.580E-4 52 . . . -6.348E-4 53 . . . -4.598E-4 54 . . . -3.228E-4 55 . . . -2.163E-4 56 . . . -1.346E-4 57 . . . -7.385E-5 58 . . . -3.173E-5 59 . . . -7.144E-6 60 . . . 1.542E-20 ---- EQU TOCEAN0EQ Initial condition for lower ocean temperature LOWER LEVEL UPPER MARGINAL 1 0.007 0.007 0.007 -257.085 ---- EQU PERIODUEQ Instantaneous utility function equation LOWER LEVEL UPPER MARGINAL 1 1.000 1.000 1.000 335.773 2 1.000 1.000 1.000 316.686 3 1.000 1.000 1.000 289.492 4 1.000 1.000 1.000 259.533 5 1.000 1.000 1.000 229.757 6 1.000 1.000 1.000 201.694 7 1.000 1.000 1.000 176.051 8 1.000 1.000 1.000 153.069 9 1.000 1.000 1.000 132.727 10 1.000 1.000 1.000 114.872 11 1.000 1.000 1.000 99.289 12 1.000 1.000 1.000 85.740 13 1.000 1.000 1.000 73.993 14 1.000 1.000 1.000 63.826 15 1.000 1.000 1.000 55.038 16 1.000 1.000 1.000 47.450 17 1.000 1.000 1.000 40.902 18 1.000 1.000 1.000 35.253 19 1.000 1.000 1.000 30.382 20 1.000 1.000 1.000 26.183 21 1.000 1.000 1.000 22.563 22 1.000 1.000 1.000 19.443 23 1.000 1.000 1.000 16.754 24 1.000 1.000 1.000 14.437 25 1.000 1.000 1.000 12.440 26 1.000 1.000 1.000 10.719 27 1.000 1.000 1.000 9.237 28 1.000 1.000 1.000 7.959 29 1.000 1.000 1.000 6.858 30 1.000 1.000 1.000 5.909 31 1.000 1.000 1.000 5.092 32 1.000 1.000 1.000 4.388 33 1.000 1.000 1.000 3.781 34 1.000 1.000 1.000 3.258 35 1.000 1.000 1.000 2.807 36 1.000 1.000 1.000 2.419 37 1.000 1.000 1.000 2.084 38 1.000 1.000 1.000 1.796 39 1.000 1.000 1.000 1.547 40 1.000 1.000 1.000 1.333 41 1.000 1.000 1.000 1.149 42 1.000 1.000 1.000 0.990 43 1.000 1.000 1.000 0.853 44 1.000 1.000 1.000 0.735 45 1.000 1.000 1.000 0.633 46 1.000 1.000 1.000 0.546 47 1.000 1.000 1.000 0.470 48 1.000 1.000 1.000 0.405 49 1.000 1.000 1.000 0.349 50 1.000 1.000 1.000 0.301 51 1.000 1.000 1.000 0.259 52 1.000 1.000 1.000 0.223 53 1.000 1.000 1.000 0.192 54 1.000 1.000 1.000 0.166 55 1.000 1.000 1.000 0.143 56 1.000 1.000 1.000 0.123 57 1.000 1.000 1.000 0.106 58 1.000 1.000 1.000 0.091 59 1.000 1.000 1.000 0.079 60 1.000 1.000 1.000 0.068 ---- VAR MIU Emission control rate GHGs LOWER LEVEL UPPER MARGINAL 1 0.005 0.005 0.005 EPS 2 . 0.158 1.000 -3.04E-19 3 . 0.184 1.000 -2.49E-19 4 . 0.211 1.000 -2.05E-19 5 . 0.241 1.000 -1.68E-19 6 . 0.271 1.000 -1.37E-19 7 . 0.303 1.000 -1.10E-19 8 . 0.337 1.000 -8.63E-20 9 . 0.373 1.000 -6.45E-20 10 . 0.410 1.000 -4.40E-20 11 . 0.450 1.000 -2.41E-20 12 . 0.491 1.000 -4.10E-21 13 . 0.536 1.000 1.696E-20 14 . 0.583 1.000 4.031E-20 15 . 0.633 1.000 6.784E-20 16 . 0.687 1.000 1.029E-19 17 . 0.744 1.000 1.522E-19 18 . 0.806 1.000 2.322E-19 19 . 0.872 1.000 3.965E-19 20 . 0.943 1.000 9.796E-19 21 . 1.000 1.000 0.446 22 . 1.000 1.000 1.803 23 . 1.000 1.000 2.519 24 . 1.000 1.000 2.827 25 . 1.000 1.000 2.880 26 . 1.000 1.000 2.781 27 . 1.000 1.000 2.597 28 . 1.000 1.000 2.370 29 . 1.000 1.000 2.128 30 . 1.000 1.000 1.888 31 . 1.000 1.000 1.659 32 . 1.000 1.000 1.448 33 . 1.000 1.000 1.256 34 . 1.000 1.000 1.085 35 . 1.000 1.000 0.933 36 . 1.000 1.000 0.801 37 . 1.000 1.000 0.685 38 . 1.000 1.000 0.585 39 . 1.000 1.000 0.498 40 . 1.000 1.000 0.424 41 . 1.000 1.000 0.360 42 . 1.000 1.000 0.305 43 . 1.000 1.000 0.258 44 . 1.000 1.000 0.218 45 . 1.000 1.000 0.184 46 . 1.000 1.000 0.155 47 . 1.000 1.000 0.130 48 . 1.000 1.000 0.109 49 . 1.000 1.000 0.091 50 . 1.000 1.000 0.076 51 . 1.000 1.000 0.062 52 . 1.000 1.000 0.051 53 . 1.000 1.000 0.041 54 . 1.000 1.000 0.032 55 . 1.000 1.000 0.024 56 . 1.000 1.000 0.017 57 . 1.000 1.000 0.011 58 . 1.000 1.000 0.006 59 . 1.000 1.000 0.002 60 . 1.2277E-4 1.000 -1.58E-11 ---- VAR FORC Radiative forcing in watts per m2 LOWER LEVEL UPPER MARGINAL 1 -INF 1.791 +INF EPS 2 -INF 2.142 +INF EPS 3 -INF 2.453 +INF EPS 4 -INF 2.758 +INF EPS 5 -INF 3.056 +INF EPS 6 -INF 3.342 +INF EPS 7 -INF 3.615 +INF EPS 8 -INF 3.873 +INF EPS 9 -INF 4.118 +INF EPS 10 -INF 4.347 +INF EPS 11 -INF 4.560 +INF EPS 12 -INF 4.720 +INF EPS 13 -INF 4.861 +INF EPS 14 -INF 4.980 +INF EPS 15 -INF 5.075 +INF EPS 16 -INF 5.142 +INF EPS 17 -INF 5.174 +INF EPS 18 -INF 5.164 +INF EPS 19 -INF 5.102 +INF EPS 20 -INF 4.976 +INF EPS 21 -INF 4.784 +INF EPS 22 -INF 4.580 +INF EPS 23 -INF 4.410 +INF EPS 24 -INF 4.265 +INF EPS 25 -INF 4.139 +INF EPS 26 -INF 4.027 +INF EPS 27 -INF 3.925 +INF EPS 28 -INF 3.830 +INF EPS 29 -INF 3.742 +INF EPS 30 -INF 3.658 +INF EPS 31 -INF 3.578 +INF EPS 32 -INF 3.501 +INF EPS 33 -INF 3.426 +INF EPS 34 -INF 3.354 +INF EPS 35 -INF 3.284 +INF EPS 36 -INF 3.216 +INF EPS 37 -INF 3.149 +INF EPS 38 -INF 3.084 +INF EPS 39 -INF 3.021 +INF EPS 40 -INF 2.959 +INF EPS 41 -INF 2.898 +INF EPS 42 -INF 2.839 +INF EPS 43 -INF 2.782 +INF EPS 44 -INF 2.725 +INF EPS 45 -INF 2.670 +INF EPS 46 -INF 2.617 +INF EPS 47 -INF 2.565 +INF EPS 48 -INF 2.514 +INF EPS 49 -INF 2.464 +INF EPS 50 -INF 2.415 +INF EPS 51 -INF 2.368 +INF EPS 52 -INF 2.322 +INF EPS 53 -INF 2.277 +INF EPS 54 -INF 2.234 +INF EPS 55 -INF 2.191 +INF EPS 56 -INF 2.150 +INF EPS 57 -INF 2.109 +INF EPS 58 -INF 2.070 +INF EPS 59 -INF 2.032 +INF EPS 60 -INF -1.787 +INF EPS ---- VAR TATM Temperature of atmosphere in degrees C LOWER LEVEL UPPER MARGINAL 1 . 0.731 20.000 -7.80E-20 2 . 0.951 20.000 -5.92E-20 3 . 1.165 20.000 -4.77E-20 4 . 1.376 20.000 -3.98E-20 5 . 1.584 20.000 -3.42E-20 6 . 1.786 20.000 -2.99E-20 7 . 1.984 20.000 -2.66E-20 8 . 2.175 20.000 -2.39E-20 9 . 2.360 20.000 -2.17E-20 10 . 2.537 20.000 -2.00E-20 11 . 2.706 20.000 -1.85E-20 12 . 2.858 20.000 -1.73E-20 13 . 2.996 20.000 -1.63E-20 14 . 3.119 20.000 -1.55E-20 15 . 3.227 20.000 -1.48E-20 16 . 3.320 20.000 -1.43E-20 17 . 3.395 20.000 -1.39E-20 18 . 3.448 20.000 -1.36E-20 19 . 3.477 20.000 -1.34E-20 20 . 3.474 20.000 -1.35E-20 21 . 3.437 20.000 -1.37E-20 22 . 3.374 20.000 -1.40E-20 23 . 3.300 20.000 -1.44E-20 24 . 3.226 20.000 -1.48E-20 25 . 3.154 20.000 -1.53E-20 26 . 3.086 20.000 -1.57E-20 27 . 3.023 20.000 -1.61E-20 28 . 2.964 20.000 -1.65E-20 29 . 2.909 20.000 -1.69E-20 30 . 2.857 20.000 -1.73E-20 31 . 2.808 20.000 -1.76E-20 32 . 2.760 20.000 -1.80E-20 33 . 2.715 20.000 -1.84E-20 34 . 2.671 20.000 -1.88E-20 35 . 2.627 20.000 -1.91E-20 36 . 2.585 20.000 -1.95E-20 37 . 2.544 20.000 -1.99E-20 38 . 2.503 20.000 -2.03E-20 39 . 2.463 20.000 -2.07E-20 40 . 2.423 20.000 -2.11E-20 41 . 2.384 20.000 -2.15E-20 42 . 2.346 20.000 -2.19E-20 43 . 2.308 20.000 -2.23E-20 44 . 2.270 20.000 -2.27E-20 45 . 2.233 20.000 -2.32E-20 46 . 2.197 20.000 -2.36E-20 47 . 2.161 20.000 -2.41E-20 48 . 2.126 20.000 -2.45E-20 49 . 2.091 20.000 -2.50E-20 50 . 2.057 20.000 -2.55E-20 51 . 2.023 20.000 -2.60E-20 52 . 1.990 20.000 -2.65E-20 53 . 1.957 20.000 -2.70E-20 54 . 1.925 20.000 -2.75E-20 55 . 1.894 20.000 -2.80E-20 56 . 1.863 20.000 -2.85E-20 57 . 1.833 20.000 -2.91E-20 58 . 1.803 20.000 -2.96E-20 59 . 1.774 20.000 -3.01E-20 60 . 0.913 20.000 -6.17E-20 ---- VAR TOCEAN Temperatureof lower oceans degrees C LOWER LEVEL UPPER MARGINAL 1 -1.000 0.007 20.000 -5.59E-20 2 -1.000 0.043 20.000 -5.38E-20 3 -1.000 0.088 20.000 -5.14E-20 4 -1.000 0.142 20.000 -4.89E-20 5 -1.000 0.204 20.000 -4.62E-20 6 -1.000 0.273 20.000 -4.35E-20 7 -1.000 0.349 20.000 -4.09E-20 8 -1.000 0.430 20.000 -3.84E-20 9 -1.000 0.518 20.000 -3.60E-20 10 -1.000 0.610 20.000 -3.37E-20 11 -1.000 0.706 20.000 -3.16E-20 12 -1.000 0.806 20.000 -2.97E-20 13 -1.000 0.909 20.000 -2.79E-20 14 -1.000 1.013 20.000 -2.63E-20 15 -1.000 1.118 20.000 -2.48E-20 16 -1.000 1.224 20.000 -2.35E-20 17 -1.000 1.329 20.000 -2.23E-20 18 -1.000 1.432 20.000 -2.12E-20 19 -1.000 1.533 20.000 -2.02E-20 20 -1.000 1.630 20.000 -1.93E-20 21 -1.000 1.722 20.000 -1.85E-20 22 -1.000 1.808 20.000 -1.78E-20 23 -1.000 1.886 20.000 -1.73E-20 24 -1.000 1.957 20.000 -1.67E-20 25 -1.000 2.020 20.000 -1.63E-20 26 -1.000 2.077 20.000 -1.59E-20 27 -1.000 2.127 20.000 -1.56E-20 28 -1.000 2.172 20.000 -1.53E-20 29 -1.000 2.212 20.000 -1.51E-20 30 -1.000 2.247 20.000 -1.49E-20 31 -1.000 2.277 20.000 -1.47E-20 32 -1.000 2.304 20.000 -1.46E-20 33 -1.000 2.327 20.000 -1.45E-20 34 -1.000 2.346 20.000 -1.43E-20 35 -1.000 2.362 20.000 -1.43E-20 36 -1.000 2.375 20.000 -1.42E-20 37 -1.000 2.386 20.000 -1.41E-20 38 -1.000 2.394 20.000 -1.41E-20 39 -1.000 2.399 20.000 -1.41E-20 40 -1.000 2.402 20.000 -1.40E-20 41 -1.000 2.403 20.000 -1.40E-20 42 -1.000 2.403 20.000 -1.40E-20 43 -1.000 2.400 20.000 -1.41E-20 44 -1.000 2.395 20.000 -1.41E-20 45 -1.000 2.389 20.000 -1.41E-20 46 -1.000 2.381 20.000 -1.42E-20 47 -1.000 2.372 20.000 -1.42E-20 48 -1.000 2.361 20.000 -1.43E-20 49 -1.000 2.350 20.000 -1.43E-20 50 -1.000 2.337 20.000 -1.44E-20 51 -1.000 2.323 20.000 -1.45E-20 52 -1.000 2.308 20.000 -1.46E-20 53 -1.000 2.292 20.000 -1.46E-20 54 -1.000 2.275 20.000 -1.47E-20 55 -1.000 2.258 20.000 -1.48E-20 56 -1.000 2.239 20.000 -1.49E-20 57 -1.000 2.221 20.000 -1.51E-20 58 -1.000 2.201 20.000 -1.52E-20 59 -1.000 2.181 20.000 -1.53E-20 60 -1.000 2.161 20.000 -1.54E-20 ---- VAR MAT Carbon concentration in atmosphere GtC LOWER LEVEL UPPER MARGINAL 1 10.000 808.900 +INF -7.41E-23 2 10.000 863.108 +INF -6.94E-23 3 10.000 907.615 +INF -6.60E-23 4 10.000 954.046 +INF -6.27E-23 5 10.000 1001.582 +INF -5.97E-23 6 10.000 1049.507 +INF -5.70E-23 7 10.000 1097.239 +INF -5.45E-23 8 10.000 1144.301 +INF -5.22E-23 9 10.000 1190.270 +INF -5.02E-23 10 10.000 1234.726 +INF -4.84E-23 11 10.000 1277.209 +INF -4.67E-23 12 10.000 1317.180 +INF -4.53E-23 13 10.000 1353.969 +INF -4.41E-23 14 10.000 1386.732 +INF -4.30E-23 15 10.000 1414.417 +INF -4.22E-23 16 10.000 1435.729 +INF -4.15E-23 17 10.000 1449.086 +INF -4.12E-23 18 10.000 1452.574 +INF -4.11E-23 19 10.000 1443.893 +INF -4.13E-23 20 10.000 1420.329 +INF -4.20E-23 21 10.000 1378.787 +INF -4.33E-23 22 10.000 1323.823 +INF -4.51E-23 23 10.000 1280.089 +INF -4.66E-23 24 10.000 1244.333 +INF -4.80E-23 25 10.000 1214.294 +INF -4.92E-23 26 10.000 1188.395 +INF -5.03E-23 27 10.000 1165.537 +INF -5.13E-23 28 10.000 1144.951 +INF -5.22E-23 29 10.000 1126.098 +INF -5.31E-23 30 10.000 1108.600 +INF -5.39E-23 31 10.000 1092.188 +INF -5.47E-23 32 10.000 1076.673 +INF -5.55E-23 33 10.000 1061.917 +INF -5.63E-23 34 10.000 1047.822 +INF -5.71E-23 35 10.000 1034.312 +INF -5.78E-23 36 10.000 1021.335 +INF -5.86E-23 37 10.000 1008.847 +INF -5.93E-23 38 10.000 996.815 +INF -6.00E-23 39 10.000 985.213 +INF -6.07E-23 40 10.000 974.017 +INF -6.14E-23 41 10.000 963.209 +INF -6.21E-23 42 10.000 952.773 +INF -6.28E-23 43 10.000 942.692 +INF -6.35E-23 44 10.000 932.954 +INF -6.42E-23 45 10.000 923.546 +INF -6.48E-23 46 10.000 914.457 +INF -6.55E-23 47 10.000 905.674 +INF -6.61E-23 48 10.000 897.187 +INF -6.68E-23 49 10.000 888.987 +INF -6.74E-23 50 10.000 881.063 +INF -6.80E-23 51 10.000 873.407 +INF -6.86E-23 52 10.000 866.008 +INF -6.92E-23 53 10.000 858.859 +INF -6.98E-23 54 10.000 851.952 +INF -7.03E-23 55 10.000 845.277 +INF -7.09E-23 56 10.000 838.827 +INF -7.15E-23 57 10.000 832.596 +INF -7.20E-23 58 10.000 826.574 +INF -7.25E-23 59 10.000 820.756 +INF -7.30E-23 60 10.000 815.135 +INF -7.36E-23 ---- VAR MATAV Average concentrations LOWER LEVEL UPPER MARGINAL 1 . 836.004 +INF -7.08E-23 2 . 885.361 +INF -6.69E-23 3 . 930.830 +INF -6.36E-23 4 . 977.814 +INF -6.06E-23 5 . 1025.545 +INF -5.77E-23 6 . 1073.373 +INF -5.52E-23 7 . 1120.770 +INF -5.28E-23 8 . 1167.286 +INF -5.07E-23 9 . 1212.498 +INF -4.88E-23 10 . 1255.968 +INF -4.72E-23 11 . 1297.194 +INF -4.57E-23 12 . 1335.575 +INF -4.43E-23 13 . 1370.351 +INF -4.32E-23 14 . 1400.575 +INF -4.23E-23 15 . 1425.073 +INF -4.16E-23 16 . 1442.408 +INF -4.11E-23 17 . 1450.830 +INF -4.08E-23 18 . 1448.233 +INF -4.09E-23 19 . 1432.111 +INF -4.14E-23 20 . 1399.558 +INF -4.23E-23 21 . 1351.305 +INF -4.38E-23 22 . 1301.956 +INF -4.55E-23 23 . 1262.211 +INF -4.69E-23 24 . 1229.314 +INF -4.82E-23 25 . 1201.345 +INF -4.93E-23 26 . 1176.966 +INF -5.03E-23 27 . 1155.244 +INF -5.13E-23 28 . 1135.524 +INF -5.22E-23 29 . 1117.349 +INF -5.30E-23 30 . 1100.394 +INF -5.38E-23 31 . 1084.431 +INF -5.46E-23 32 . 1069.295 +INF -5.54E-23 33 . 1054.870 +INF -5.61E-23 34 . 1041.067 +INF -5.69E-23 35 . 1027.824 +INF -5.76E-23 36 . 1015.091 +INF -5.83E-23 37 . 1002.831 +INF -5.91E-23 38 . 991.014 +INF -5.98E-23 39 . 979.615 +INF -6.05E-23 40 . 968.613 +INF -6.11E-23 41 . 957.991 +INF -6.18E-23 42 . 947.732 +INF -6.25E-23 43 . 937.823 +INF -6.32E-23 44 . 928.250 +INF -6.38E-23 45 . 919.001 +INF -6.44E-23 46 . 910.065 +INF -6.51E-23 47 . 901.430 +INF -6.57E-23 48 . 893.087 +INF -6.63E-23 49 . 885.025 +INF -6.69E-23 50 . 877.235 +INF -6.75E-23 51 . 869.707 +INF -6.81E-23 52 . 862.434 +INF -6.87E-23 53 . 855.405 +INF -6.92E-23 54 . 848.614 +INF -6.98E-23 55 . 842.052 +INF -7.03E-23 56 . 835.712 +INF -7.09E-23 57 . 829.585 +INF -7.14E-23 58 . 823.665 +INF -7.19E-23 59 . 817.945 +INF -7.24E-23 60 . 407.567 +INF -1.45E-22 ---- VAR MU Carbon concentration in shallow oceans Gtc LOWER LEVEL UPPER MARGINAL 1 100.000 1255.000 +INF -5.13E-23 2 100.000 1280.635 +INF -5.02E-23 3 100.000 1312.775 +INF -4.88E-23 4 100.000 1348.628 +INF -4.74E-23 5 100.000 1388.018 +INF -4.60E-23 6 100.000 1430.640 +INF -4.45E-23 7 100.000 1476.095 +INF -4.30E-23 8 100.000 1523.939 +INF -4.16E-23 9 100.000 1573.698 +INF -4.02E-23 10 100.000 1624.892 +INF -3.88E-23 11 100.000 1677.030 +INF -3.76E-23 12 100.000 1729.608 +INF -3.63E-23 13 100.000 1782.094 +INF -3.52E-23 14 100.000 1833.906 +INF -3.42E-23 15 100.000 1884.390 +INF -3.32E-23 16 100.000 1932.787 +INF -3.23E-23 17 100.000 1978.207 +INF -3.15E-23 18 100.000 2019.588 +INF -3.09E-23 19 100.000 2055.665 +INF -3.03E-23 20 100.000 2084.919 +INF -2.98E-23 21 100.000 2105.545 +INF -2.95E-23 22 100.000 2115.413 +INF -2.94E-23 23 100.000 2113.569 +INF -2.94E-23 24 100.000 2103.864 +INF -2.96E-23 25 100.000 2088.965 +INF -2.98E-23 26 100.000 2070.717 +INF -3.01E-23 27 100.000 2050.392 +INF -3.04E-23 28 100.000 2028.871 +INF -3.07E-23 29 100.000 2006.754 +INF -3.11E-23 30 100.000 1984.454 +INF -3.14E-23 31 100.000 1962.251 +INF -3.18E-23 32 100.000 1940.332 +INF -3.22E-23 33 100.000 1918.821 +INF -3.26E-23 34 100.000 1897.798 +INF -3.29E-23 35 100.000 1877.313 +INF -3.33E-23 36 100.000 1857.393 +INF -3.37E-23 37 100.000 1838.052 +INF -3.41E-23 38 100.000 1819.296 +INF -3.44E-23 39 100.000 1801.119 +INF -3.48E-23 40 100.000 1783.516 +INF -3.52E-23 41 100.000 1766.476 +INF -3.55E-23 42 100.000 1749.985 +INF -3.59E-23 43 100.000 1734.031 +INF -3.62E-23 44 100.000 1718.600 +INF -3.66E-23 45 100.000 1703.676 +INF -3.69E-23 46 100.000 1689.244 +INF -3.73E-23 47 100.000 1675.290 +INF -3.76E-23 48 100.000 1661.799 +INF -3.79E-23 49 100.000 1648.756 +INF -3.82E-23 50 100.000 1636.148 +INF -3.86E-23 51 100.000 1623.960 +INF -3.89E-23 52 100.000 1612.179 +INF -3.92E-23 53 100.000 1600.792 +INF -3.95E-23 54 100.000 1589.786 +INF -3.98E-23 55 100.000 1579.149 +INF -4.00E-23 56 100.000 1568.868 +INF -4.03E-23 57 100.000 1558.933 +INF -4.06E-23 58 100.000 1549.330 +INF -4.09E-23 59 100.000 1540.051 +INF -4.11E-23 60 100.000 1531.083 +INF -4.14E-23 ---- VAR ML Carbon concentration in lower oceans GtC LOWER LEVEL UPPER MARGINAL 1 1000.000 18365.000 +INF -3.41E-24 2 1000.000 18370.477 +INF -3.41E-24 3 1000.000 18377.219 +INF -3.41E-24 4 1000.000 18385.547 +INF -3.41E-24 5 1000.000 18395.642 +INF -3.40E-24 6 1000.000 18407.675 +INF -3.40E-24 7 1000.000 18421.801 +INF -3.40E-24 8 1000.000 18438.156 +INF -3.40E-24 9 1000.000 18456.852 +INF -3.39E-24 10 1000.000 18477.978 +INF -3.39E-24 11 1000.000 18501.597 +INF -3.38E-24 12 1000.000 18527.750 +INF -3.38E-24 13 1000.000 18556.450 +INF -3.37E-24 14 1000.000 18587.685 +INF -3.37E-24 15 1000.000 18621.414 +INF -3.36E-24 16 1000.000 18657.561 +INF -3.35E-24 17 1000.000 18696.015 +INF -3.35E-24 18 1000.000 18736.620 +INF -3.34E-24 19 1000.000 18779.168 +INF -3.33E-24 20 1000.000 18823.387 +INF -3.32E-24 21 1000.000 18868.931 +INF -3.31E-24 22 1000.000 18915.364 +INF -3.31E-24 23 1000.000 18962.146 +INF -3.30E-24 24 1000.000 19008.689 +INF -3.29E-24 25 1000.000 19054.602 +INF -3.28E-24 26 1000.000 19099.627 +INF -3.27E-24 27 1000.000 19143.600 +INF -3.26E-24 28 1000.000 19186.418 +INF -3.26E-24 29 1000.000 19228.028 +INF -3.25E-24 30 1000.000 19268.401 +INF -3.24E-24 31 1000.000 19307.534 +INF -3.23E-24 32 1000.000 19345.434 +INF -3.23E-24 33 1000.000 19382.121 +INF -3.22E-24 34 1000.000 19417.617 +INF -3.22E-24 35 1000.000 19451.952 +INF -3.21E-24 36 1000.000 19485.155 +INF -3.20E-24 37 1000.000 19517.259 +INF -3.20E-24 38 1000.000 19548.295 +INF -3.19E-24 39 1000.000 19578.297 +INF -3.19E-24 40 1000.000 19607.297 +INF -3.18E-24 41 1000.000 19635.326 +INF -3.18E-24 42 1000.000 19662.415 +INF -3.17E-24 43 1000.000 19688.596 +INF -3.17E-24 44 1000.000 19713.897 +INF -3.16E-24 45 1000.000 19738.347 +INF -3.16E-24 46 1000.000 19761.976 +INF -3.16E-24 47 1000.000 19784.809 +INF -3.15E-24 48 1000.000 19806.873 +INF -3.15E-24 49 1000.000 19828.193 +INF -3.15E-24 50 1000.000 19848.795 +INF -3.14E-24 51 1000.000 19868.703 +INF -3.14E-24 52 1000.000 19887.939 +INF -3.14E-24 53 1000.000 19906.526 +INF -3.13E-24 54 1000.000 19924.485 +INF -3.13E-24 55 1000.000 19941.838 +INF -3.13E-24 56 1000.000 19958.606 +INF -3.12E-24 57 1000.000 19974.807 +INF -3.12E-24 58 1000.000 19990.460 +INF -3.12E-24 59 1000.000 20005.585 +INF -3.12E-24 60 1000.000 20020.199 +INF -3.11E-24 ---- VAR E CO2-equivalent emissions GtC LOWER LEVEL UPPER MARGINAL 1 . 85.320 +INF -6.94E-22 2 . 83.388 +INF -7.10E-22 3 . 90.613 +INF -6.54E-22 4 . 97.021 +INF -6.10E-22 5 . 102.578 +INF -5.77E-22 6 . 107.314 +INF -5.52E-22 7 . 111.260 +INF -5.32E-22 8 . 114.425 +INF -5.18E-22 9 . 116.776 +INF -5.07E-22 10 . 118.241 +INF -5.01E-22 11 . 118.702 +INF -4.99E-22 12 . 117.975 +INF -5.02E-22 13 . 115.810 +INF -5.11E-22 14 . 111.897 +INF -5.29E-22 15 . 105.857 +INF -5.59E-22 16 . 97.231 +INF -6.09E-22 17 . 85.474 +INF -6.93E-22 18 . 69.944 +INF -8.47E-22 19 . 49.910 +INF -1.19E-21 20 . 24.627 +INF -2.40E-21 21 . 1.337 +INF -4.43E-20 22 . 1.204 +INF -4.92E-20 23 . 1.083 +INF -5.47E-20 24 . 0.975 +INF -6.07E-20 25 . 0.877 +INF -6.75E-20 26 . 0.790 +INF -7.50E-20 27 . 0.711 +INF -8.33E-20 28 . 0.640 +INF -9.26E-20 29 . 0.576 +INF -1.03E-19 30 . 0.518 +INF -1.14E-19 31 . 0.466 +INF -1.27E-19 32 . 0.420 +INF -1.41E-19 33 . 0.378 +INF -1.57E-19 34 . 0.340 +INF -1.74E-19 35 . 0.306 +INF -1.94E-19 36 . 0.275 +INF -2.15E-19 37 . 0.248 +INF -2.39E-19 38 . 0.223 +INF -2.66E-19 39 . 0.201 +INF -2.95E-19 40 . 0.181 +INF -3.28E-19 41 . 0.163 +INF -3.64E-19 42 . 0.146 +INF -4.05E-19 43 . 0.132 +INF -4.50E-19 44 . 0.119 +INF -5.00E-19 45 . 0.107 +INF -5.55E-19 46 . 0.096 +INF -6.17E-19 47 . 0.086 +INF -6.85E-19 48 . 0.078 +INF -7.62E-19 49 . 0.070 +INF -8.46E-19 50 . 0.063 +INF -9.40E-19 51 . 0.057 +INF -1.04E-18 52 . 0.051 +INF -1.16E-18 53 . 0.046 +INF -1.29E-18 54 . 0.041 +INF -1.43E-18 55 . 0.037 +INF -1.59E-18 56 . 0.033 +INF -1.77E-18 57 . 0.030 +INF -1.97E-18 58 . 0.027 +INF -2.18E-18 59 . 0.024 +INF -2.43E-18 60 . 6855.000 +INF -8.64E-24 ---- VAR C Consumption trillions US dollars LOWER LEVEL UPPER MARGINAL 1 20.000 43.354 +INF -2.54E-21 2 20.000 54.199 +INF -1.73E-21 3 20.000 66.322 +INF -1.28E-21 4 20.000 79.624 +INF -9.93E-22 5 20.000 94.141 +INF -7.99E-22 6 20.000 109.993 +INF -6.58E-22 7 20.000 127.359 +INF -5.52E-22 8 20.000 146.451 +INF -4.68E-22 9 20.000 167.506 +INF -4.02E-22 10 20.000 190.785 +INF -3.47E-22 11 20.000 216.565 +INF -3.01E-22 12 20.000 245.179 +INF -2.63E-22 13 20.000 276.959 +INF -2.30E-22 14 20.000 312.265 +INF -2.03E-22 15 20.000 351.488 +INF -1.79E-22 16 20.000 395.053 +INF -1.58E-22 17 20.000 443.430 +INF -1.40E-22 18 20.000 497.144 +INF -1.24E-22 19 20.000 556.782 +INF -1.10E-22 20 20.000 623.020 +INF -9.82E-23 21 20.000 697.090 +INF -8.75E-23 22 20.000 781.240 +INF -7.78E-23 23 20.000 875.188 +INF -6.93E-23 24 20.000 979.598 +INF -6.17E-23 25 20.000 1095.268 +INF -5.51E-23 26 20.000 1223.116 +INF -4.92E-23 27 20.000 1364.177 +INF -4.41E-23 28 20.000 1519.593 +INF -3.95E-23 29 20.000 1690.612 +INF -3.55E-23 30 20.000 1878.587 +INF -3.19E-23 31 20.000 2084.978 +INF -2.87E-23 32 20.000 2311.352 +INF -2.58E-23 33 20.000 2559.388 +INF -2.33E-23 34 20.000 2830.882 +INF -2.11E-23 35 20.000 3127.750 +INF -1.91E-23 36 20.000 3452.037 +INF -1.73E-23 37 20.000 3805.917 +INF -1.56E-23 38 20.000 4191.703 +INF -1.42E-23 39 20.000 4611.853 +INF -1.29E-23 40 20.000 5068.976 +INF -1.17E-23 41 20.000 5565.835 +INF -1.07E-23 42 20.000 6105.361 +INF -9.73E-24 43 20.000 6690.651 +INF -8.88E-24 44 20.000 7324.982 +INF -8.11E-24 45 20.000 8011.811 +INF -7.41E-24 46 20.000 8754.789 +INF -6.78E-24 47 20.000 9557.762 +INF -6.21E-24 48 20.000 10424.778 +INF -5.69E-24 49 20.000 11360.099 +INF -5.22E-24 50 20.000 12368.200 +INF -4.80E-24 51 20.000 13453.783 +INF -4.41E-24 52 20.000 14621.778 +INF -4.06E-24 53 20.000 15877.352 +INF -3.73E-24 54 20.000 17225.917 +INF -3.44E-24 55 20.000 18673.129 +INF -3.18E-24 56 20.000 20224.906 +INF -2.93E-24 57 20.000 21887.422 +INF -2.71E-24 58 20.000 23667.120 +INF -2.50E-24 59 20.000 25570.715 +INF -2.32E-24 60 20.000 27895.416 +INF -2.12E-24 ---- VAR K Capital stock trillions US dollars LOWER LEVEL UPPER MARGINAL 1 100.000 137.000 +INF -1.60E-21 2 100.000 170.053 +INF -8.45E-22 3 100.000 212.167 +INF -5.28E-22 4 100.000 261.043 +INF -3.68E-22 5 100.000 315.604 +INF -2.75E-22 6 100.000 375.572 +INF -2.15E-22 7 100.000 441.194 +INF -1.74E-22 8 100.000 513.056 +INF -1.43E-22 9 100.000 591.961 +INF -1.20E-22 10 100.000 678.860 +INF -1.02E-22 11 100.000 774.818 +INF -8.78E-23 12 100.000 880.990 +INF -7.58E-23 13 100.000 998.714 +INF -6.59E-23 14 100.000 1129.399 +INF -5.75E-23 15 100.000 1274.549 +INF -5.04E-23 16 100.000 1435.787 +INF -4.43E-23 17 100.000 1614.883 +INF -3.91E-23 18 100.000 1813.779 +INF -3.46E-23 19 100.000 2034.629 +INF -3.06E-23 20 100.000 2279.845 +INF -2.72E-23 21 100.000 2552.172 +INF -2.42E-23 22 100.000 2856.041 +INF -2.15E-23 23 100.000 3199.341 +INF -1.91E-23 24 100.000 3584.023 +INF -1.70E-23 25 100.000 4012.643 +INF -1.51E-23 26 100.000 4488.342 +INF -1.35E-23 27 100.000 5014.806 +INF -1.21E-23 28 100.000 5596.238 +INF -1.08E-23 29 100.000 6237.323 +INF -9.65E-24 30 100.000 6943.217 +INF -8.65E-24 31 100.000 7719.533 +INF -7.77E-24 32 100.000 8572.345 +INF -6.99E-24 33 100.000 9508.192 +INF -6.29E-24 34 100.000 10534.090 +INF -5.68E-24 35 100.000 11657.551 +INF -5.12E-24 36 100.000 12886.600 +INF -4.63E-24 37 100.000 14229.797 +INF -4.19E-24 38 100.000 15696.264 +INF -3.80E-24 39 100.000 17295.704 +INF -3.44E-24 40 100.000 19038.433 +INF -3.13E-24 41 100.000 20935.405 +INF -2.84E-24 42 100.000 22998.237 +INF -2.59E-24 43 100.000 25239.241 +INF -2.36E-24 44 100.000 27671.449 +INF -2.15E-24 45 100.000 30308.645 +INF -1.96E-24 46 100.000 33165.390 +INF -1.79E-24 47 100.000 36257.055 +INF -1.64E-24 48 100.000 39599.845 +INF -1.50E-24 49 100.000 43210.835 +INF -1.37E-24 50 100.000 47107.993 +INF -1.26E-24 51 100.000 51310.211 +INF -1.16E-24 52 100.000 55837.334 +INF -1.06E-24 53 100.000 60710.190 +INF -9.77E-25 54 100.000 65950.613 +INF -8.99E-25 55 100.000 71581.478 +INF -8.29E-25 56 100.000 77626.722 +INF -7.64E-25 57 100.000 84111.374 +INF -7.05E-25 58 100.000 91061.579 +INF -6.51E-25 59 100.000 98504.627 +INF -6.02E-25 60 100.000 1.0647E+5 +INF -5.57E-25 ---- VAR CPC Per capita consumption thousands US dollars LOWER LEVEL UPPER MARGINAL 1 -INF 6.656 +INF EPS 2 -INF 7.602 +INF EPS 3 -INF 8.768 +INF EPS 4 -INF 10.117 +INF EPS 5 -INF 11.643 +INF EPS 6 -INF 13.353 +INF EPS 7 -INF 15.263 +INF EPS 8 -INF 17.393 +INF EPS 9 -INF 19.769 +INF EPS 10 -INF 22.417 +INF EPS 11 -INF 25.368 +INF EPS 12 -INF 28.657 +INF EPS 13 -INF 32.322 +INF EPS 14 -INF 36.403 +INF EPS 15 -INF 40.945 +INF EPS 16 -INF 45.995 +INF EPS 17 -INF 51.608 +INF EPS 18 -INF 57.844 +INF EPS 19 -INF 64.771 +INF EPS 20 -INF 72.467 +INF EPS 21 -INF 81.075 +INF EPS 22 -INF 90.856 +INF EPS 23 -INF 101.777 +INF EPS 24 -INF 113.916 +INF EPS 25 -INF 127.364 +INF EPS 26 -INF 142.228 +INF EPS 27 -INF 158.630 +INF EPS 28 -INF 176.700 +INF EPS 29 -INF 196.585 +INF EPS 30 -INF 218.442 +INF EPS 31 -INF 242.441 +INF EPS 32 -INF 268.763 +INF EPS 33 -INF 297.604 +INF EPS 34 -INF 329.173 +INF EPS 35 -INF 363.693 +INF EPS 36 -INF 401.400 +INF EPS 37 -INF 442.549 +INF EPS 38 -INF 487.408 +INF EPS 39 -INF 536.262 +INF EPS 40 -INF 589.416 +INF EPS 41 -INF 647.190 +INF EPS 42 -INF 709.926 +INF EPS 43 -INF 777.983 +INF EPS 44 -INF 851.742 +INF EPS 45 -INF 931.606 +INF EPS 46 -INF 1017.999 +INF EPS 47 -INF 1111.368 +INF EPS 48 -INF 1212.184 +INF EPS 49 -INF 1320.942 +INF EPS 50 -INF 1438.163 +INF EPS 51 -INF 1564.393 +INF EPS 52 -INF 1700.207 +INF EPS 53 -INF 1846.204 +INF EPS 54 -INF 2003.014 +INF EPS 55 -INF 2171.294 +INF EPS 56 -INF 2351.733 +INF EPS 57 -INF 2545.049 +INF EPS 58 -INF 2751.991 +INF EPS 59 -INF 2973.339 +INF EPS 60 -INF 3243.653 +INF EPS ---- VAR PCY Per capita income thousands US dollars LOWER LEVEL UPPER MARGINAL 1 -INF 8.533 +INF EPS 2 -INF 9.746 +INF EPS 3 -INF 11.241 +INF EPS 4 -INF 12.971 +INF EPS 5 -INF 14.927 +INF EPS 6 -INF 17.119 +INF EPS 7 -INF 19.567 +INF EPS 8 -INF 22.299 +INF EPS 9 -INF 25.345 +INF EPS 10 -INF 28.740 +INF EPS 11 -INF 32.523 +INF EPS 12 -INF 36.740 +INF EPS 13 -INF 41.439 +INF EPS 14 -INF 46.671 +INF EPS 15 -INF 52.493 +INF EPS 16 -INF 58.968 +INF EPS 17 -INF 66.164 +INF EPS 18 -INF 74.159 +INF EPS 19 -INF 83.040 +INF EPS 20 -INF 92.906 +INF EPS 21 -INF 103.942 +INF EPS 22 -INF 116.482 +INF EPS 23 -INF 130.484 +INF EPS 24 -INF 146.046 +INF EPS 25 -INF 163.287 +INF EPS 26 -INF 182.344 +INF EPS 27 -INF 203.371 +INF EPS 28 -INF 226.539 +INF EPS 29 -INF 252.033 +INF EPS 30 -INF 280.054 +INF EPS 31 -INF 310.822 +INF EPS 32 -INF 344.568 +INF EPS 33 -INF 381.544 +INF EPS 34 -INF 422.017 +INF EPS 35 -INF 466.272 +INF EPS 36 -INF 514.616 +INF EPS 37 -INF 567.370 +INF EPS 38 -INF 624.882 +INF EPS 39 -INF 687.516 +INF EPS 40 -INF 755.661 +INF EPS 41 -INF 829.731 +INF EPS 42 -INF 910.161 +INF EPS 43 -INF 997.414 +INF EPS 44 -INF 1091.977 +INF EPS 45 -INF 1194.367 +INF EPS 46 -INF 1305.127 +INF EPS 47 -INF 1424.830 +INF EPS 48 -INF 1554.081 +INF EPS 49 -INF 1693.515 +INF EPS 50 -INF 1843.798 +INF EPS 51 -INF 2005.633 +INF EPS 52 -INF 2179.752 +INF EPS 53 -INF 2366.928 +INF EPS 54 -INF 2567.966 +INF EPS 55 -INF 2783.710 +INF EPS 56 -INF 3015.043 +INF EPS 57 -INF 3262.883 +INF EPS 58 -INF 3528.193 +INF EPS 59 -INF 3811.973 +INF EPS 60 -INF 4158.530 +INF EPS ---- VAR I Investment trillions US dollars LOWER LEVEL UPPER MARGINAL 1 . 12.228 +INF -4.84E-21 2 . 15.287 +INF -3.87E-21 3 . 18.707 +INF -3.17E-21 4 . 22.458 +INF -2.64E-21 5 . 26.553 +INF -2.23E-21 6 . 31.024 +INF -1.91E-21 7 . 35.922 +INF -1.65E-21 8 . 41.307 +INF -1.43E-21 9 . 47.246 +INF -1.25E-21 10 . 53.811 +INF -1.10E-21 11 . 61.083 +INF -9.70E-22 12 . 69.153 +INF -8.56E-22 13 . 78.117 +INF -7.58E-22 14 . 88.075 +INF -6.72E-22 15 . 99.138 +INF -5.97E-22 16 . 111.425 +INF -5.32E-22 17 . 125.070 +INF -4.74E-22 18 . 140.220 +INF -4.22E-22 19 . 157.041 +INF -3.77E-22 20 . 175.724 +INF -3.37E-22 21 . 196.615 +INF -3.01E-22 22 . 220.350 +INF -2.69E-22 23 . 246.848 +INF -2.40E-22 24 . 276.297 +INF -2.14E-22 25 . 308.922 +INF -1.92E-22 26 . 344.982 +INF -1.72E-22 27 . 384.768 +INF -1.54E-22 28 . 428.604 +INF -1.38E-22 29 . 476.840 +INF -1.24E-22 30 . 529.858 +INF -1.12E-22 31 . 588.071 +INF -1.01E-22 32 . 651.920 +INF -9.08E-23 33 . 721.879 +INF -8.20E-23 34 . 798.454 +INF -7.42E-23 35 . 882.186 +INF -6.71E-23 36 . 973.652 +INF -6.08E-23 37 . 1073.464 +INF -5.52E-23 38 . 1182.275 +INF -5.01E-23 39 . 1300.779 +INF -4.55E-23 40 . 1429.711 +INF -4.14E-23 41 . 1569.851 +INF -3.77E-23 42 . 1722.025 +INF -3.44E-23 43 . 1887.107 +INF -3.14E-23 44 . 2066.021 +INF -2.87E-23 45 . 2259.742 +INF -2.62E-23 46 . 2469.300 +INF -2.40E-23 47 . 2695.779 +INF -2.20E-23 48 . 2940.322 +INF -2.01E-23 49 . 3204.131 +INF -1.85E-23 50 . 3488.467 +INF -1.70E-23 51 . 3794.657 +INF -1.56E-23 52 . 4124.092 +INF -1.44E-23 53 . 4478.228 +INF -1.32E-23 54 . 4858.592 +INF -1.22E-23 55 . 5266.780 +INF -1.12E-23 56 . 5704.461 +INF -1.04E-23 57 . 6173.376 +INF -9.59E-24 58 . 6675.342 +INF -8.87E-24 59 . 7212.253 +INF -8.21E-24 60 . 7867.938 +INF -7.53E-24 ---- VAR S Gross savings rate as fraction of gross world product LOWER LEVEL UPPER MARGINAL 1 0.220 0.220 0.220 EPS 2 0.220 0.220 0.220 EPS 3 0.220 0.220 0.220 EPS 4 0.220 0.220 0.220 EPS 5 0.220 0.220 0.220 EPS 6 0.220 0.220 0.220 EPS 7 0.220 0.220 0.220 EPS 8 0.220 0.220 0.220 EPS 9 0.220 0.220 0.220 EPS 10 0.220 0.220 0.220 EPS 11 0.220 0.220 0.220 EPS 12 0.220 0.220 0.220 EPS 13 0.220 0.220 0.220 EPS 14 0.220 0.220 0.220 EPS 15 0.220 0.220 0.220 EPS 16 0.220 0.220 0.220 EPS 17 0.220 0.220 0.220 EPS 18 0.220 0.220 0.220 EPS 19 0.220 0.220 0.220 EPS 20 0.220 0.220 0.220 EPS 21 0.220 0.220 0.220 EPS 22 0.220 0.220 0.220 EPS 23 0.220 0.220 0.220 EPS 24 0.220 0.220 0.220 EPS 25 0.220 0.220 0.220 EPS 26 0.220 0.220 0.220 EPS 27 0.220 0.220 0.220 EPS 28 0.220 0.220 0.220 EPS 29 0.220 0.220 0.220 EPS 30 0.220 0.220 0.220 EPS 31 0.220 0.220 0.220 EPS 32 0.220 0.220 0.220 EPS 33 0.220 0.220 0.220 EPS 34 0.220 0.220 0.220 EPS 35 0.220 0.220 0.220 EPS 36 0.220 0.220 0.220 EPS 37 0.220 0.220 0.220 EPS 38 0.220 0.220 0.220 EPS 39 0.220 0.220 0.220 EPS 40 0.220 0.220 0.220 EPS 41 0.220 0.220 0.220 EPS 42 0.220 0.220 0.220 EPS 43 0.220 0.220 0.220 EPS 44 0.220 0.220 0.220 EPS 45 0.220 0.220 0.220 EPS 46 0.220 0.220 0.220 EPS 47 0.220 0.220 0.220 EPS 48 0.220 0.220 0.220 EPS 49 0.220 0.220 0.220 EPS 50 0.220 0.220 0.220 EPS 51 0.220 0.220 0.220 EPS 52 0.220 0.220 0.220 EPS 53 0.220 0.220 0.220 EPS 54 0.220 0.220 0.220 EPS 55 0.220 0.220 0.220 EPS 56 0.220 0.220 0.220 EPS 57 0.220 0.220 0.220 EPS 58 0.220 0.220 0.220 EPS 59 0.220 0.220 0.220 EPS 60 0.220 0.220 0.220 EPS ---- VAR RI Real interest rate per annum LOWER LEVEL UPPER MARGINAL 1 -INF 0.057 +INF EPS 2 -INF 0.057 +INF EPS 3 -INF 0.055 +INF EPS 4 -INF 0.052 +INF EPS 5 -INF 0.050 +INF EPS 6 -INF 0.048 +INF EPS 7 -INF 0.046 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-INF 0.036 +INF EPS 52 -INF 0.036 +INF EPS 53 -INF 0.035 +INF EPS 54 -INF 0.035 +INF EPS 55 -INF 0.035 +INF EPS 56 -INF 0.035 +INF EPS 57 -INF 0.035 +INF EPS 58 -INF 0.035 +INF EPS 59 -INF 0.035 +INF EPS 60 -INF 0.036 +INF EPS ---- VAR Y Gross world product net of abatement and damages LOWER LEVEL UPPER MARGINAL 1 . 55.583 +INF -1.07E-21 2 . 69.487 +INF -8.52E-22 3 . 85.029 +INF -6.97E-22 4 . 102.082 +INF -5.80E-22 5 . 120.693 +INF -4.91E-22 6 . 141.017 +INF -4.20E-22 7 . 163.281 +INF -3.63E-22 8 . 187.758 +INF -3.15E-22 9 . 214.752 +INF -2.76E-22 10 . 244.596 +INF -2.42E-22 11 . 277.648 +INF -2.13E-22 12 . 314.332 +INF -1.88E-22 13 . 355.076 +INF -1.67E-22 14 . 400.341 +INF -1.48E-22 15 . 450.626 +INF -1.31E-22 16 . 506.478 +INF -1.17E-22 17 . 568.501 +INF -1.04E-22 18 . 637.364 +INF -9.29E-23 19 . 713.823 +INF -8.30E-23 20 . 798.744 +INF -7.41E-23 21 . 893.705 +INF -6.63E-23 22 . 1001.591 +INF -5.91E-23 23 . 1122.036 +INF -5.28E-23 24 . 1255.895 +INF -4.72E-23 25 . 1404.190 +INF -4.22E-23 26 . 1568.098 +INF -3.78E-23 27 . 1748.946 +INF -3.39E-23 28 . 1948.197 +INF -3.04E-23 29 . 2167.452 +INF -2.73E-23 30 . 2408.446 +INF -2.46E-23 31 . 2673.049 +INF -2.22E-23 32 . 2963.272 +INF -2.00E-23 33 . 3281.266 +INF -1.80E-23 34 . 3629.336 +INF -1.63E-23 35 . 4009.937 +INF -1.48E-23 36 . 4425.689 +INF -1.34E-23 37 . 4879.381 +INF -1.21E-23 38 . 5373.979 +INF -1.10E-23 39 . 5912.633 +INF -1.00E-23 40 . 6498.687 +INF -9.11E-24 41 . 7135.687 +INF -8.30E-24 42 . 7827.386 +INF -7.57E-24 43 . 8577.758 +INF -6.90E-24 44 . 9391.002 +INF -6.31E-24 45 . 10271.553 +INF -5.77E-24 46 . 11224.089 +INF -5.28E-24 47 . 12253.541 +INF -4.83E-24 48 . 13365.100 +INF -4.43E-24 49 . 14564.229 +INF -4.07E-24 50 . 15856.667 +INF -3.73E-24 51 . 17248.440 +INF -3.43E-24 52 . 18745.870 +INF -3.16E-24 53 . 20355.580 +INF -2.91E-24 54 . 22084.509 +INF -2.68E-24 55 . 23939.910 +INF -2.47E-24 56 . 25929.367 +INF -2.28E-24 57 . 28060.797 +INF -2.11E-24 58 . 30342.462 +INF -1.95E-24 59 . 32782.969 +INF -1.81E-24 60 . 35763.354 +INF -1.66E-24 ---- VAR YGROSS Gross world product GROSS of abatement and damages LOWER LEVEL UPPER MARGINAL 1 . 55.667 +INF -1.06E-21 2 . 69.685 +INF -8.50E-22 3 . 85.391 +INF -6.94E-22 4 . 102.688 +INF -5.77E-22 5 . 121.641 +INF -4.87E-22 6 . 142.428 +INF -4.16E-22 7 . 165.301 +INF -3.58E-22 8 . 190.559 +INF -3.11E-22 9 . 218.540 +INF -2.71E-22 10 . 249.611 +INF -2.37E-22 11 . 284.167 +INF -2.08E-22 12 . 322.636 +INF -1.84E-22 13 . 365.489 +INF -1.62E-22 14 . 413.228 +INF -1.43E-22 15 . 466.398 +INF -1.27E-22 16 . 525.584 +INF -1.13E-22 17 . 591.425 +INF -1.00E-22 18 . 664.614 +INF -8.91E-23 19 . 745.908 +INF -7.94E-23 20 . 836.135 +INF -7.08E-23 21 . 936.207 +INF -6.33E-23 22 . 1047.268 +INF -5.66E-23 23 . 1170.898 +INF -5.06E-23 24 . 1308.073 +INF -4.53E-23 25 . 1459.898 +INF -4.06E-23 26 . 1627.606 +INF -3.64E-23 27 . 1812.555 +INF -3.27E-23 28 . 2016.234 +INF -2.94E-23 29 . 2240.259 +INF -2.64E-23 30 . 2486.376 +INF -2.38E-23 31 . 2756.466 +INF -2.15E-23 32 . 3052.546 +INF -1.94E-23 33 . 3376.779 +INF -1.75E-23 34 . 3731.475 +INF -1.59E-23 35 . 4119.102 +INF -1.44E-23 36 . 4542.289 +INF -1.30E-23 37 . 5003.835 +INF -1.18E-23 38 . 5506.719 +INF -1.08E-23 39 . 6054.103 +INF -9.78E-24 40 . 6649.345 +INF -8.91E-24 41 . 7296.004 +INF -8.12E-24 42 . 7997.848 +INF -7.41E-24 43 . 8758.867 +INF -6.76E-24 44 . 9583.275 +INF -6.18E-24 45 . 10475.523 +INF -5.65E-24 46 . 11440.307 +INF -5.18E-24 47 . 12482.576 +INF -4.74E-24 48 . 13607.540 +INF -4.35E-24 49 . 14820.679 +INF -4.00E-24 50 . 16127.754 +INF -3.67E-24 51 . 17534.809 +INF -3.38E-24 52 . 19048.189 +INF -3.11E-24 53 . 20674.539 +INF -2.86E-24 54 . 22420.819 +INF -2.64E-24 55 . 24294.307 +INF -2.44E-24 56 . 26302.610 +INF -2.25E-24 57 . 28453.672 +INF -2.08E-24 58 . 30755.778 +INF -1.93E-24 59 . 33217.566 +INF -1.78E-24 60 . 35848.028 +INF -1.65E-24 ---- VAR YNET Output net of damages equation LOWER LEVEL UPPER MARGINAL 1 -INF 55.583 +INF EPS 2 -INF 69.507 +INF EPS 3 -INF 85.063 +INF EPS 4 -INF 102.139 +INF EPS 5 -INF 120.781 +INF EPS 6 -INF 141.149 +INF EPS 7 -INF 163.474 +INF EPS 8 -INF 188.034 +INF EPS 9 -INF 215.139 +INF EPS 10 -INF 245.132 +INF EPS 11 -INF 278.380 +INF EPS 12 -INF 315.323 +INF EPS 13 -INF 356.409 +INF EPS 14 -INF 402.125 +INF EPS 15 -INF 453.003 +INF EPS 16 -INF 509.638 +INF EPS 17 -INF 572.690 +INF EPS 18 -INF 642.911 +INF EPS 19 -INF 721.160 +INF EPS 20 -INF 808.431 +INF EPS 21 -INF 905.830 +INF EPS 22 -INF 1014.491 +INF EPS 23 -INF 1135.777 +INF EPS 24 -INF 1270.543 +INF EPS 25 -INF 1419.812 +INF EPS 26 -INF 1584.764 +INF EPS 27 -INF 1766.728 +INF EPS 28 -INF 1967.173 +INF EPS 29 -INF 2187.706 +INF EPS 30 -INF 2430.065 +INF EPS 31 -INF 2696.128 +INF EPS 32 -INF 2987.911 +INF EPS 33 -INF 3307.574 +INF EPS 34 -INF 3657.425 +INF EPS 35 -INF 4039.931 +INF EPS 36 -INF 4457.717 +INF EPS 37 -INF 4913.582 +INF EPS 38 -INF 5410.499 +INF EPS 39 -INF 5951.629 +INF EPS 40 -INF 6540.325 +INF EPS 41 -INF 7180.143 +INF EPS 42 -INF 7874.848 +INF EPS 43 -INF 8628.423 +INF EPS 44 -INF 9445.081 +INF EPS 45 -INF 10329.268 +INF EPS 46 -INF 11285.675 +INF EPS 47 -INF 12319.248 +INF EPS 48 -INF 13435.192 +INF EPS 49 -INF 14638.984 +INF EPS 50 -INF 15936.379 +INF EPS 51 -INF 17333.420 +INF EPS 52 -INF 18836.445 +INF EPS 53 -INF 20452.096 +INF EPS 54 -INF 22187.330 +INF EPS 55 -INF 24049.420 +INF EPS 56 -INF 26045.969 +INF EPS 57 -INF 28184.917 +INF EPS 58 -INF 30474.545 +INF EPS 59 -INF 32923.485 +INF EPS 60 -INF 35763.354 +INF EPS ---- VAR DAMAGES Damages LOWER LEVEL UPPER MARGINAL 1 -INF 0.084 +INF EPS 2 -INF 0.178 +INF EPS 3 -INF 0.328 +INF EPS 4 -INF 0.549 +INF EPS 5 -INF 0.860 +INF EPS 6 -INF 1.279 +INF EPS 7 -INF 1.827 +INF EPS 8 -INF 2.526 +INF EPS 9 -INF 3.401 +INF EPS 10 -INF 4.479 +INF EPS 11 -INF 5.787 +INF EPS 12 -INF 7.313 +INF EPS 13 -INF 9.080 +INF EPS 14 -INF 11.104 +INF EPS 15 -INF 13.394 +INF EPS 16 -INF 15.946 +INF EPS 17 -INF 18.734 +INF EPS 18 -INF 21.702 +INF EPS 19 -INF 24.748 +INF EPS 20 -INF 27.704 +INF EPS 21 -INF 30.376 +INF EPS 22 -INF 32.778 +INF EPS 23 -INF 35.120 +INF EPS 24 -INF 37.530 +INF EPS 25 -INF 40.087 +INF EPS 26 -INF 42.842 +INF EPS 27 -INF 45.828 +INF EPS 28 -INF 49.061 +INF EPS 29 -INF 52.554 +INF EPS 30 -INF 56.311 +INF EPS 31 -INF 60.337 +INF EPS 32 -INF 64.635 +INF EPS 33 -INF 69.205 +INF EPS 34 -INF 74.050 +INF EPS 35 -INF 79.171 +INF EPS 36 -INF 84.572 +INF EPS 37 -INF 90.253 +INF EPS 38 -INF 96.220 +INF EPS 39 -INF 102.474 +INF EPS 40 -INF 109.020 +INF EPS 41 -INF 115.861 +INF EPS 42 -INF 123.000 +INF EPS 43 -INF 130.443 +INF EPS 44 -INF 138.194 +INF EPS 45 -INF 146.255 +INF EPS 46 -INF 154.632 +INF EPS 47 -INF 163.328 +INF EPS 48 -INF 172.348 +INF EPS 49 -INF 181.696 +INF EPS 50 -INF 191.375 +INF EPS 51 -INF 201.390 +INF EPS 52 -INF 211.744 +INF EPS 53 -INF 222.443 +INF EPS 54 -INF 233.489 +INF EPS 55 -INF 244.887 +INF EPS 56 -INF 256.641 +INF EPS 57 -INF 268.755 +INF EPS 58 -INF 281.233 +INF EPS 59 -INF 294.080 +INF EPS 60 -INF 84.674 +INF EPS ---- VAR ABATECOST Cost of emissions reductions LOWER LEVEL UPPER MARGINAL 1 -INF 1.3292E-5 +INF EPS 2 -INF 0.020 +INF EPS 3 -INF 0.035 +INF EPS 4 -INF 0.057 +INF EPS 5 -INF 0.088 +INF EPS 6 -INF 0.133 +INF EPS 7 -INF 0.195 +INF EPS 8 -INF 0.279 +INF EPS 9 -INF 0.393 +INF EPS 10 -INF 0.545 +INF EPS 11 -INF 0.747 +INF EPS 12 -INF 1.014 +INF EPS 13 -INF 1.367 +INF EPS 14 -INF 1.833 +INF EPS 15 -INF 2.448 +INF EPS 16 -INF 3.258 +INF EPS 17 -INF 4.326 +INF EPS 18 -INF 5.735 +INF EPS 19 -INF 7.588 +INF EPS 20 -INF 10.018 +INF EPS 21 -INF 12.532 +INF EPS 22 -INF 13.317 +INF EPS 23 -INF 14.166 +INF EPS 24 -INF 15.081 +INF EPS 25 -INF 16.063 +INF EPS 26 -INF 17.116 +INF EPS 27 -INF 18.243 +INF EPS 28 -INF 19.450 +INF EPS 29 -INF 20.740 +INF EPS 30 -INF 22.120 +INF EPS 31 -INF 23.595 +INF EPS 32 -INF 25.172 +INF EPS 33 -INF 26.858 +INF EPS 34 -INF 28.658 +INF EPS 35 -INF 30.582 +INF EPS 36 -INF 32.636 +INF EPS 37 -INF 34.829 +INF EPS 38 -INF 37.170 +INF EPS 39 -INF 39.668 +INF EPS 40 -INF 42.332 +INF EPS 41 -INF 45.174 +INF EPS 42 -INF 48.203 +INF EPS 43 -INF 51.431 +INF EPS 44 -INF 54.870 +INF EPS 45 -INF 58.532 +INF EPS 46 -INF 62.430 +INF EPS 47 -INF 66.578 +INF EPS 48 -INF 70.991 +INF EPS 49 -INF 75.683 +INF EPS 50 -INF 80.669 +INF EPS 51 -INF 85.967 +INF EPS 52 -INF 91.593 +INF EPS 53 -INF 97.566 +INF EPS 54 -INF 103.903 +INF EPS 55 -INF 110.625 +INF EPS 56 -INF 117.751 +INF EPS 57 -INF 125.303 +INF EPS 58 -INF 133.302 +INF EPS 59 -INF 141.771 +INF EPS 60 -INF -8.33E-10 +INF EPS ---- VAR CCA Cumulative industrial carbon emissions GTC LOWER LEVEL UPPER MARGINAL 1 . . 6000.000 -5.92E-10 2 . 85.320 6000.000 -6.84E-22 3 . 168.708 6000.000 -3.41E-22 4 . 259.321 6000.000 -2.18E-22 5 . 356.343 6000.000 -1.56E-22 6 . 458.921 6000.000 -1.18E-22 7 . 566.235 6000.000 -9.37E-23 8 . 677.495 6000.000 -7.63E-23 9 . 791.920 6000.000 -6.34E-23 10 . 908.696 6000.000 -5.35E-23 11 . 1026.936 6000.000 -4.58E-23 12 . 1145.638 6000.000 -3.95E-23 13 . 1263.613 6000.000 -3.44E-23 14 . 1379.423 6000.000 -3.01E-23 15 . 1491.321 6000.000 -2.66E-23 16 . 1597.177 6000.000 -2.36E-23 17 . 1694.408 6000.000 -2.12E-23 18 . 1779.882 6000.000 -1.92E-23 19 . 1849.826 6000.000 -1.77E-23 20 . 1899.736 6000.000 -1.67E-23 21 . 1924.363 6000.000 -1.62E-23 22 . 1925.700 6000.000 -1.62E-23 23 . 1926.904 6000.000 -1.62E-23 24 . 1927.987 6000.000 -1.62E-23 25 . 1928.962 6000.000 -1.62E-23 26 . 1929.839 6000.000 -1.61E-23 27 . 1930.629 6000.000 -1.61E-23 28 . 1931.340 6000.000 -1.61E-23 29 . 1931.979 6000.000 -1.61E-23 30 . 1932.555 6000.000 -1.61E-23 31 . 1933.073 6000.000 -1.61E-23 32 . 1933.539 6000.000 -1.61E-23 33 . 1933.959 6000.000 -1.61E-23 34 . 1934.337 6000.000 -1.61E-23 35 . 1934.677 6000.000 -1.60E-23 36 . 1934.983 6000.000 -1.60E-23 37 . 1935.258 6000.000 -1.60E-23 38 . 1935.506 6000.000 -1.60E-23 39 . 1935.729 6000.000 -1.60E-23 40 . 1935.930 6000.000 -1.60E-23 41 . 1936.110 6000.000 -1.60E-23 42 . 1936.273 6000.000 -1.60E-23 43 . 1936.419 6000.000 -1.60E-23 44 . 1936.551 6000.000 -1.60E-23 45 . 1936.669 6000.000 -1.60E-23 46 . 1936.776 6000.000 -1.60E-23 47 . 1936.872 6000.000 -1.60E-23 48 . 1936.959 6000.000 -1.60E-23 49 . 1937.036 6000.000 -1.60E-23 50 . 1937.106 6000.000 -1.60E-23 51 . 1937.169 6000.000 -1.60E-23 52 . 1937.226 6000.000 -1.60E-23 53 . 1937.277 6000.000 -1.60E-23 54 . 1937.323 6000.000 -1.60E-23 55 . 1937.364 6000.000 -1.60E-23 56 . 1937.401 6000.000 -1.60E-23 57 . 1937.435 6000.000 -1.60E-23 58 . 1937.465 6000.000 -1.60E-23 59 . 1937.492 6000.000 -1.60E-23 60 . 1937.517 6000.000 -1.60E-23 ---- VAR PERIODU One period utility function LOWER LEVEL UPPER MARGINAL 1 -INF -149.250 +INF EPS 2 -INF -130.552 +INF EPS 3 -INF -113.051 +INF EPS 4 -INF -97.840 +INF EPS 5 -INF -84.889 +INF EPS 6 -INF -73.891 +INF EPS 7 -INF -64.520 +INF EPS 8 -INF -56.494 +INF EPS 9 -INF -49.584 +INF EPS 10 -INF -43.608 +INF EPS 11 -INF -38.420 +INF EPS 12 -INF -33.895 +INF EPS 13 -INF -29.939 +INF EPS 14 -INF -26.470 +INF EPS 15 -INF -23.423 +INF EPS 16 -INF -20.742 +INF EPS 17 -INF -18.377 +INF EPS 18 -INF -16.288 +INF EPS 19 -INF -14.439 +INF EPS 20 -INF -12.799 +INF EPS 21 -INF -11.334 +INF EPS 22 -INF -10.006 +INF EPS 23 -INF -8.825 +INF EPS 24 -INF -7.778 +INF EPS 25 -INF -6.852 +INF EPS 26 -INF -6.031 +INF EPS 27 -INF -5.304 +INF EPS 28 -INF -4.659 +INF EPS 29 -INF -4.087 +INF EPS 30 -INF -3.578 +INF EPS 31 -INF -3.125 +INF EPS 32 -INF -2.721 +INF EPS 33 -INF -2.360 +INF EPS 34 -INF -2.038 +INF EPS 35 -INF -1.750 +INF EPS 36 -INF -1.491 +INF EPS 37 -INF -1.260 +INF EPS 38 -INF -1.052 +INF EPS 39 -INF -0.865 +INF EPS 40 -INF -0.697 +INF EPS 41 -INF -0.545 +INF EPS 42 -INF -0.409 +INF EPS 43 -INF -0.285 +INF EPS 44 -INF -0.174 +INF EPS 45 -INF -0.073 +INF EPS 46 -INF 0.018 +INF EPS 47 -INF 0.100 +INF EPS 48 -INF 0.175 +INF EPS 49 -INF 0.243 +INF EPS 50 -INF 0.305 +INF EPS 51 -INF 0.361 +INF EPS 52 -INF 0.412 +INF EPS 53 -INF 0.458 +INF EPS 54 -INF 0.501 +INF EPS 55 -INF 0.539 +INF EPS 56 -INF 0.575 +INF EPS 57 -INF 0.607 +INF EPS 58 -INF 0.637 +INF EPS 59 -INF 0.664 +INF EPS 60 -INF 0.692 +INF EPS LOWER LEVEL UPPER MARGINAL ---- VAR UTILITY -INF 1.5016E+5 +INF . **** REPORT SUMMARY : 0 NONOPT 0 INFEASIBLE 0 UNBOUNDED 0 ERRORS GAMS Rev 237 LEX-LEG 23.7.1 x86_64/Linux 09/14/11 00:07:33 Page 6 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Model Statistics SOLVE CO2 Using NLP From line 308 MODEL STATISTICS BLOCKS OF EQUATIONS 30 SINGLE EQUATIONS 1,263 BLOCKS OF VARIABLES 24 SINGLE VARIABLES 1,381 NON ZERO ELEMENTS 3,767 NON LINEAR N-Z 1,080 DERIVATIVE POOL 6 CONSTANT POOL 327 CODE LENGTH 5,643 GENERATION TIME = 0.003 SECONDS 3 Mb LEX237-237 Jul 7, 2011 EXECUTION TIME = 0.009 SECONDS 3 Mb LEX237-237 Jul 7, 2011 GAMS Rev 237 LEX-LEG 23.7.1 x86_64/Linux 09/14/11 00:07:33 Page 7 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Solution Report SOLVE CO2 Using NLP From line 308 S O L V E S U M M A R Y MODEL CO2 OBJECTIVE UTILITY TYPE NLP DIRECTION MAXIMIZE SOLVER COINIPOPT FROM LINE 308 **** SOLVER STATUS 1 Normal Completion **** MODEL STATUS 2 Locally Optimal **** OBJECTIVE VALUE 150164.5594 RESOURCE USAGE, LIMIT 0.798 99999.000 ITERATION COUNT, LIMIT 57 99900 EVALUATION ERRORS 0 0 COIN-OR Ipopt Jul 14, 2011 23.7.1 LEX 26788.26792 LEG x86_64/Linux ---- EQU CCTFIRST First period cumulative carbon LOWER LEVEL UPPER MARGINAL 1 . . . 5.922E-10 ---- EQU CCACCA Cumulative carbon emissions LOWER LEVEL UPPER MARGINAL 2 . . . 2.721E-21 3 . . . 2.037E-21 4 . . . 1.696E-21 5 . . . 1.478E-21 6 . . . 1.322E-21 7 . . . 1.204E-21 8 . . . 1.110E-21 9 . . . 1.034E-21 10 . . . 9.703E-22 11 . . . 9.168E-22 12 . . . 8.710E-22 13 . . . 8.315E-22 14 . . . 7.972E-22 15 . . . 7.671E-22 16 . . . 7.405E-22 17 . . . 7.169E-22 18 . . . 6.957E-22 19 . . . 6.764E-22 20 . . . 6.587E-22 21 . . . 6.419E-22 22 . . . 6.257E-22 23 . . . 6.095E-22 24 . . . 5.933E-22 25 . . . 5.771E-22 26 . . . 5.610E-22 27 . . . 5.448E-22 28 . . . 5.287E-22 29 . . . 5.126E-22 30 . . . 4.965E-22 31 . . . 4.804E-22 32 . . . 4.643E-22 33 . . . 4.483E-22 34 . . . 4.322E-22 35 . . . 4.162E-22 36 . . . 4.001E-22 37 . . . 3.841E-22 38 . . . 3.680E-22 39 . . . 3.520E-22 40 . . . 3.360E-22 41 . . . 3.200E-22 42 . . . 3.040E-22 43 . . . 2.879E-22 44 . . . 2.719E-22 45 . . . 2.559E-22 46 . . . 2.399E-22 47 . . . 2.239E-22 48 . . . 2.079E-22 49 . . . 1.919E-22 50 . . . 1.759E-22 51 . . . 1.599E-22 52 . . . 1.439E-22 53 . . . 1.279E-22 54 . . . 1.119E-22 55 . . . 9.594E-23 56 . . . 7.995E-23 57 . . . 6.396E-23 58 . . . 4.797E-23 59 . . . 3.198E-23 60 . . . 1.599E-23 LOWER LEVEL UPPER MARGINAL ---- EQU UTIL 3.8180E+5 3.8180E+5 3.8180E+5 1.000 UTIL Objective function ---- EQU YY Output net equation LOWER LEVEL UPPER MARGINAL 1 . . . 1171.331 2 . . . 765.926 3 . . . 493.212 4 . . . 318.074 5 . . . 206.510 6 . . . 135.112 7 . . . 89.038 8 . . . 59.050 9 . . . 39.380 10 . . . 26.388 11 . . . 17.758 12 . . . 11.993 13 . . . 8.126 14 . . . 5.522 15 . . . 3.763 16 . . . 2.571 17 . . . 1.761 18 . . . 1.208 19 . . . 0.831 20 . . . 0.572 21 . . . 0.394 22 . . . 0.270 23 . . . 0.186 24 . . . 0.128 25 . . . 0.088 26 . . . 0.061 27 . . . 0.042 28 . . . 0.029 29 . . . 0.020 30 . . . 0.014 31 . . . 0.010 32 . . . 0.007 33 . . . 0.005 34 . . . 0.003 35 . . . 0.002 36 . . . 0.002 37 . . . 0.001 38 . -1.023E-8 . 8.7205E-4 39 . -1.092E-8 . 6.2094E-4 40 . -1.166E-8 . 4.4304E-4 41 . -1.245E-8 . 3.1674E-4 42 . -1.329E-8 . 2.2689E-4 43 . -1.419E-8 . 1.6285E-4 44 . -1.514E-8 . 1.1710E-4 45 . -1.616E-8 . 8.4372E-5 46 . -1.724E-8 . 6.0903E-5 47 . -1.840E-8 . 4.4044E-5 48 . -1.963E-8 . 3.1911E-5 49 . -2.093E-8 . 2.3162E-5 50 . -2.232E-8 . 1.6842E-5 51 . -2.380E-8 . 1.2267E-5 52 . -2.536E-8 . 8.9506E-6 53 . -2.703E-8 . 6.5408E-6 54 . -2.879E-8 . 4.7861E-6 55 . -3.066E-8 . 3.5047E-6 56 . -3.265E-8 . 2.5646E-6 57 . -3.475E-8 . 1.8693E-6 58 . -3.699E-8 . 1.3461E-6 59 . -3.935E-8 . 9.3789E-7 60 . . . 5.8514E-7 ---- EQU YNETEQ Output net of damages equation LOWER LEVEL UPPER MARGINAL 1 . . . EPS 2 . . . EPS 3 . . . EPS 4 . . . EPS 5 . . . EPS 6 . . . EPS 7 . . . EPS 8 . . . EPS 9 . . . EPS 10 . . . EPS 11 . . . EPS 12 . . . EPS 13 . . . EPS 14 . . . EPS 15 . . . EPS 16 . . . EPS 17 . . . EPS 18 . . . EPS 19 . . . EPS 20 . . . EPS 21 . . . EPS 22 . . . EPS 23 . . . EPS 24 . . . EPS 25 . . . EPS 26 . . . EPS 27 . . . EPS 28 . . . EPS 29 . . . EPS 30 . . . EPS 31 . . . EPS 32 . . . EPS 33 . . . EPS 34 . . . EPS 35 . . . EPS 36 . . . EPS 37 . . . EPS 38 . . . EPS 39 . . . EPS 40 . . . EPS 41 . . . EPS 42 . . . EPS 43 . . . EPS 44 . . . EPS 45 . . . EPS 46 . . . EPS 47 . . . EPS 48 . . . EPS 49 . . . EPS 50 . . . EPS 51 . . . EPS 52 . . . EPS 53 . . . EPS 54 . . . EPS 55 . . . EPS 56 . . . EPS 57 . . . EPS 58 . . . EPS 59 . . . EPS 60 . . . EPS ---- EQU YGROSSEQ Output gross equation LOWER LEVEL UPPER MARGINAL 1 . . . 1169.558 2 . . . 763.742 3 . . . 491.118 4 . . . 316.199 5 . . . 204.902 6 . . . 133.773 7 . . . 87.950 8 . . . 58.182 9 . . . 38.697 10 . . . 25.858 11 . . . 17.351 12 . . . 11.684 13 . . . 7.894 14 . . . 5.350 15 . . . 3.636 16 . . . 2.477 17 . . . 1.692 18 . . . 1.159 19 . . . 0.795 20 . . . 0.546 21 . . . 0.376 22 . . . 0.258 23 . . . 0.178 24 . . . 0.123 25 . . . 0.085 26 . . . 0.059 27 . . . 0.041 28 . . . 0.028 29 . . . 0.020 30 . . . 0.014 31 . . . 0.010 32 . . . 0.007 33 . . . 0.005 34 . . . 0.003 35 . . . 0.002 36 . . . 0.002 37 . . . 0.001 38 . . . 8.5103E-4 39 . . . 6.0643E-4 40 . . . 4.3300E-4 41 . . . 3.0978E-4 42 . . . 2.2205E-4 43 . . . 1.5948E-4 44 . . . 1.1476E-4 45 . . . 8.2730E-5 46 . . . 5.9752E-5 47 . . . 4.3236E-5 48 . . . 3.1342E-5 49 . . . 2.2761E-5 50 . . . 1.6558E-5 51 . . . 1.2067E-5 52 . . . 8.8085E-6 53 . . . 6.4399E-6 54 . . . 4.7143E-6 55 . . . 3.4535E-6 56 . . . 2.5282E-6 57 . . . 1.8435E-6 58 . . . 1.3280E-6 59 . . . 9.2562E-7 60 . . . 5.8376E-7 ---- EQU DAMEQ Damage equation LOWER LEVEL UPPER MARGINAL 1 . . . EPS 2 . . . EPS 3 . . . EPS 4 . . . EPS 5 . . . EPS 6 . . . EPS 7 . . . EPS 8 . . . EPS 9 . . . EPS 10 . . . EPS 11 . . . EPS 12 . . . EPS 13 . . . EPS 14 . . . EPS 15 . . . EPS 16 . . . EPS 17 . . . EPS 18 . . . EPS 19 . . . EPS 20 . . . EPS 21 . . . EPS 22 . . . EPS 23 . . . EPS 24 . . . EPS 25 . . . EPS 26 . . . EPS 27 . . . EPS 28 . . . EPS 29 . . . EPS 30 . . . EPS 31 . . . EPS 32 . . . EPS 33 . . . EPS 34 . . . EPS 35 . . . EPS 36 . . . EPS 37 . . . EPS 38 . . . EPS 39 . . . EPS 40 . . . EPS 41 . . . EPS 42 . . . EPS 43 . . . EPS 44 . . . EPS 45 . . . EPS 46 . . . EPS 47 . . . EPS 48 . . . EPS 49 . . . EPS 50 . . . EPS 51 . . . EPS 52 . . . EPS 53 . . . EPS 54 . . . EPS 55 . . . EPS 56 . . . EPS 57 . . . EPS 58 . . . EPS 59 . . . EPS 60 . . . EPS ---- EQU ABATEEQ Cost of emissions reductions equation LOWER LEVEL UPPER MARGINAL 1 . . . EPS 2 . . . EPS 3 . . . EPS 4 . . . EPS 5 . . . EPS 6 . . . EPS 7 . . . EPS 8 . . . EPS 9 . . . EPS 10 . . . EPS 11 . . . EPS 12 . . . EPS 13 . . . EPS 14 . . . EPS 15 . . . EPS 16 . . . EPS 17 . . . EPS 18 . . . EPS 19 . . . EPS 20 . . . EPS 21 . . . EPS 22 . . . EPS 23 . . . EPS 24 . . . EPS 25 . . . EPS 26 . . . EPS 27 . . . EPS 28 . . . EPS 29 . . . EPS 30 . . . EPS 31 . . . EPS 32 . . . EPS 33 . . . EPS 34 . . . EPS 35 . . . EPS 36 . . . EPS 37 . . . EPS 38 . 1.0408E-8 . EPS 39 . 1.1107E-8 . EPS 40 . 1.1853E-8 . EPS 41 . 1.2649E-8 . EPS 42 . 1.3497E-8 . EPS 43 . 1.4401E-8 . EPS 44 . 1.5364E-8 . EPS 45 . 1.6389E-8 . EPS 46 . 1.7480E-8 . EPS 47 . 1.8642E-8 . EPS 48 . 1.9877E-8 . EPS 49 . 2.1191E-8 . EPS 50 . 2.2587E-8 . EPS 51 . 2.4071E-8 . EPS 52 . 2.5646E-8 . EPS 53 . 2.7318E-8 . EPS 54 . 2.9093E-8 . EPS 55 . 3.0975E-8 . EPS 56 . 3.2970E-8 . EPS 57 . 3.5085E-8 . EPS 58 . 3.7325E-8 . EPS 59 . 3.9696E-8 . EPS 60 . . . EPS ---- EQU CC Consumption equation LOWER LEVEL UPPER MARGINAL 1 . . . 1163.668 2 . . . 768.654 3 . . . 497.827 4 . . . 322.167 5 . . . 209.618 6 . . . 137.327 7 . . . 90.569 8 . . . 60.092 9 . . . 40.081 10 . . . 26.859 11 . . . 18.073 12 . . . 12.203 13 . . . 8.266 14 . . . 5.615 15 . . . 3.824 16 . . . 2.611 17 . . . 1.787 18 . . . 1.226 19 . . . 0.842 20 . . . 0.580 21 . . . 0.399 22 . . . 0.274 23 . . . 0.188 24 . . . 0.129 25 . . . 0.089 26 . . . 0.062 27 . . . 0.043 28 . . . 0.030 29 . . . 0.021 30 . . . 0.014 31 . . . 0.010 32 . . . 0.007 33 . . . 0.005 34 . . . 0.003 35 . . . 0.002 36 . . . 0.002 37 . . . 0.001 38 . . . 8.7898E-4 39 . . . 6.2567E-4 40 . . . 4.4627E-4 41 . . . 3.1895E-4 42 . . . 2.2840E-4 43 . . . 1.6388E-4 44 . . . 1.1781E-4 45 . . . 8.4855E-5 46 . . . 6.1233E-5 47 . . . 4.4269E-5 48 . . . 3.2064E-5 49 . . . 2.3266E-5 50 . . . 1.6913E-5 51 . . . 1.2316E-5 52 . . . 8.9849E-6 53 . . . 6.5659E-6 54 . . . 4.8065E-6 55 . . . 3.5245E-6 56 . . . 2.5888E-6 57 . . . 1.9047E-6 58 . . . 1.4037E-6 59 . . . 1.0361E-6 60 . . . 7.5018E-7 ---- EQU KK Capital balance equation LOWER LEVEL UPPER MARGINAL 1 -INF . . 119.850 2 -INF . . 75.625 3 -INF . . 47.685 4 -INF . . 30.356 5 -INF . . 19.549 6 -INF . . 12.726 7 -INF . . 8.361 8 -INF . . 5.536 9 -INF . . 3.689 10 -INF . . 2.472 11 -INF . . 1.664 12 -INF . . 1.125 13 -INF . . 0.763 14 -INF . . 0.519 15 -INF . . 0.355 16 -INF . . 0.243 17 -INF . . 0.167 18 -INF . . 0.115 19 -INF . . 0.079 20 -INF . . 0.054 21 -INF . . 0.037 22 -INF . . 0.026 23 -INF . . 0.018 24 -INF . . 0.012 25 -INF . . 0.008 26 -INF . . 0.006 27 -INF . . 0.004 28 -INF . . 0.003 29 -INF . . 0.002 30 -INF . . 0.001 31 -INF . . 9.6039E-4 32 -INF . . 6.7451E-4 33 -INF . . 4.7479E-4 34 -INF . . 3.3495E-4 35 -INF . . 2.3681E-4 36 -INF . . 1.6778E-4 37 -INF . . 1.1912E-4 38 -INF . . 8.4748E-5 39 -INF . . 6.0417E-5 40 -INF . . 4.3158E-5 41 -INF . . 3.0891E-5 42 -INF . . 2.2154E-5 43 -INF . . 1.5919E-5 44 -INF . . 1.1460E-5 45 -INF . . 8.2663E-6 46 -INF . . 5.9735E-6 47 -INF . . 4.3247E-6 48 -INF . . 3.1367E-6 49 -INF . . 2.2791E-6 50 -INF . . 1.6588E-6 51 -INF . . 1.2093E-6 52 -INF . . 8.8288E-7 53 -INF . . 6.4517E-7 54 -INF . . 4.7138E-7 55 -INF . . 3.4343E-7 56 -INF . . 2.4789E-7 57 -INF . . 1.7438E-7 58 -INF . . 1.1420E-7 59 -INF . . 5.8965E-8 60 -INF -1.158E+5 . -8.08E-26 ---- EQU KK0 Initial condition for capital LOWER LEVEL UPPER MARGINAL 1 137.000 137.000 137.000 183.833 ---- EQU KC Terminal condition for capital LOWER LEVEL UPPER MARGINAL 60 -INF -5738.559 . 9.728E-24 ---- EQU CPCE Per capita consumption definition LOWER LEVEL UPPER MARGINAL 1 . . . EPS 2 . . . EPS 3 . . . EPS 4 . . . EPS 5 . . . EPS 6 . . . EPS 7 . . . EPS 8 . . . EPS 9 . . . EPS 10 . . . EPS 11 . . . EPS 12 . . . EPS 13 . . . EPS 14 . . . EPS 15 . . . EPS 16 . . . EPS 17 . . . EPS 18 . . . EPS 19 . . . EPS 20 . . . EPS 21 . . . EPS 22 . . . EPS 23 . . . EPS 24 . . . EPS 25 . . . EPS 26 . . . EPS 27 . . . EPS 28 . . . EPS 29 . . . EPS 30 . . . EPS 31 . . . EPS 32 . . . EPS 33 . . . EPS 34 . . . EPS 35 . . . EPS 36 . . . EPS 37 . . . EPS 38 . . . EPS 39 . . . EPS 40 . . . EPS 41 . . . EPS 42 . . . EPS 43 . . . EPS 44 . . . EPS 45 . . . EPS 46 . . . EPS 47 . . . EPS 48 . . . EPS 49 . . . EPS 50 . . . EPS 51 . . . EPS 52 . . . EPS 53 . . . EPS 54 . . . EPS 55 . . . EPS 56 . . . EPS 57 . . . EPS 58 . . . EPS 59 . . . EPS 60 . . . EPS ---- EQU PCYE Per capita income definition LOWER LEVEL UPPER MARGINAL 1 . . . EPS 2 . . . EPS 3 . . . EPS 4 . . . EPS 5 . . . EPS 6 . . . EPS 7 . . . EPS 8 . . . EPS 9 . . . EPS 10 . . . EPS 11 . . . EPS 12 . . . EPS 13 . . . EPS 14 . . . EPS 15 . . . EPS 16 . . . EPS 17 . . . EPS 18 . . . EPS 19 . . . EPS 20 . . . EPS 21 . . . EPS 22 . . . EPS 23 . . . EPS 24 . . . EPS 25 . . . EPS 26 . . . EPS 27 . . . EPS 28 . . . EPS 29 . . . EPS 30 . . . EPS 31 . . . EPS 32 . . . EPS 33 . . . EPS 34 . . . EPS 35 . . . EPS 36 . . . EPS 37 . . . EPS 38 . . . EPS 39 . . . EPS 40 . . . EPS 41 . . . EPS 42 . . . EPS 43 . . . EPS 44 . . . EPS 45 . . . EPS 46 . . . EPS 47 . . . EPS 48 . . . EPS 49 . . . EPS 50 . . . EPS 51 . . . EPS 52 . . . EPS 53 . . . EPS 54 . . . EPS 55 . . . EPS 56 . . . EPS 57 . . . EPS 58 . . . EPS 59 . . . EPS 60 . . . EPS ---- EQU EE Emissions equation LOWER LEVEL UPPER MARGINAL 1 11.000 11.000 11.000 -3.215 2 9.900 9.900 9.900 -3.163 3 8.910 8.910 8.910 -2.598 4 8.019 8.019 8.019 -2.100 5 7.217 7.217 7.217 -1.679 6 6.495 6.495 6.495 -1.330 7 5.846 5.846 5.846 -1.048 8 5.261 5.261 5.261 -0.821 9 4.735 4.735 4.735 -0.641 10 4.262 4.262 4.262 -0.499 11 3.835 3.835 3.835 -0.388 12 3.452 3.452 3.452 -0.301 13 3.107 3.107 3.107 -0.233 14 2.796 2.796 2.796 -0.181 15 2.516 2.516 2.516 -0.141 16 2.265 2.265 2.265 -0.109 17 2.038 2.038 2.038 -0.085 18 1.834 1.834 1.834 -0.066 19 1.651 1.651 1.651 -0.052 20 1.486 1.486 1.486 -0.040 21 1.337 1.337 1.337 -0.031 22 1.204 1.204 1.204 -0.024 23 1.083 1.083 1.083 -0.019 24 0.975 0.975 0.975 -0.015 25 0.877 0.877 0.877 -0.011 26 0.790 0.790 0.790 -0.009 27 0.711 0.711 0.711 -0.007 28 0.640 0.640 0.640 -0.005 29 0.576 0.576 0.576 -0.004 30 0.518 0.518 0.518 -0.003 31 0.466 0.466 0.466 -0.002 32 0.420 0.420 0.420 -0.002 33 0.378 0.378 0.378 -0.002 34 0.340 0.340 0.340 -0.001 35 0.306 0.306 0.306 -9.202E-4 36 0.275 0.275 0.275 -7.183E-4 37 0.248 0.248 0.248 -5.610E-4 38 0.223 0.223 0.223 -4.384E-4 39 0.201 0.201 0.201 -3.427E-4 40 0.181 0.181 0.181 -2.680E-4 41 0.163 0.163 0.163 -2.097E-4 42 0.146 0.146 0.146 -1.641E-4 43 0.132 0.132 0.132 -1.284E-4 44 0.119 0.119 0.119 -1.004E-4 45 0.107 0.107 0.107 -7.851E-5 46 0.096 0.096 0.096 -6.133E-5 47 0.086 0.086 0.086 -4.784E-5 48 0.078 0.078 0.078 -3.724E-5 49 0.070 0.070 0.070 -2.890E-5 50 0.063 0.063 0.063 -2.232E-5 51 0.057 0.057 0.057 -1.713E-5 52 0.051 0.051 0.051 -1.302E-5 53 0.046 0.046 0.046 -9.751E-6 54 0.041 0.041 0.041 -7.148E-6 55 0.037 0.037 0.037 -5.071E-6 56 0.033 0.033 0.033 -3.415E-6 57 0.030 0.030 0.030 -2.110E-6 58 0.027 0.027 0.027 -1.119E-6 59 0.024 0.024 0.024 -4.387E-7 60 0.022 0.022 0.022 8.045E-24 ---- EQU SEQ Savings rate equation LOWER LEVEL UPPER MARGINAL 1 . . . -1936.027 2 . . . 861.920 3 . . . 1783.439 4 . . . 1899.055 5 . . . 1704.734 6 . . . 1419.982 7 . . . 1136.676 8 . . . 888.848 9 . . . 684.995 10 . . . 523.046 11 . . . 397.279 12 . . . 300.017 13 . . . 225.496 14 . . . 168.762 15 . . . 125.768 16 . . . 93.321 17 . . . 68.964 18 . . . 50.866 19 . . . 37.741 20 . . . 28.808 21 . . . 22.719 22 . . . 17.073 23 . . . 12.776 24 . . . 9.544 25 . . . 7.127 26 . . . 5.325 27 . . . 3.981 28 . . . 2.980 29 . . . 2.232 30 . . . 1.673 31 . . . 1.255 32 . . . 0.942 33 . . . 0.707 34 . . . 0.531 35 . . . 0.399 36 . . . 0.300 37 . . . 0.225 38 . . . 0.169 39 . . . 0.127 40 . . . 0.095 41 . . . 0.072 42 . . . 0.054 43 . . . 0.040 44 . . . 0.030 45 . . . 0.023 46 . . . 0.017 47 . . . 0.013 48 . . . 0.009 49 . . . 0.007 50 . . . 0.005 51 . . . 0.004 52 . . . 0.003 53 . . . 0.002 54 . . . 0.002 55 . . . 0.002 56 . . . 0.003 57 . . . 0.005 58 . . . 0.008 59 . . . 0.015 60 . . . 0.027 ---- EQU RIEQ Interest rate equation LOWER LEVEL UPPER MARGINAL 1 -0.065 -0.065 -0.065 EPS 2 -0.065 -0.065 -0.065 EPS 3 -0.065 -0.065 -0.065 EPS 4 -0.065 -0.065 -0.065 EPS 5 -0.065 -0.065 -0.065 EPS 6 -0.065 -0.065 -0.065 EPS 7 -0.065 -0.065 -0.065 EPS 8 -0.065 -0.065 -0.065 EPS 9 -0.065 -0.065 -0.065 EPS 10 -0.065 -0.065 -0.065 EPS 11 -0.065 -0.065 -0.065 EPS 12 -0.065 -0.065 -0.065 EPS 13 -0.065 -0.065 -0.065 EPS 14 -0.065 -0.065 -0.065 EPS 15 -0.065 -0.065 -0.065 EPS 16 -0.065 -0.065 -0.065 EPS 17 -0.065 -0.065 -0.065 EPS 18 -0.065 -0.065 -0.065 EPS 19 -0.065 -0.065 -0.065 EPS 20 -0.065 -0.065 -0.065 EPS 21 -0.065 -0.065 -0.065 EPS 22 -0.065 -0.065 -0.065 EPS 23 -0.065 -0.065 -0.065 EPS 24 -0.065 -0.065 -0.065 EPS 25 -0.065 -0.065 -0.065 EPS 26 -0.065 -0.065 -0.065 EPS 27 -0.065 -0.065 -0.065 EPS 28 -0.065 -0.065 -0.065 EPS 29 -0.065 -0.065 -0.065 EPS 30 -0.065 -0.065 -0.065 EPS 31 -0.065 -0.065 -0.065 EPS 32 -0.065 -0.065 -0.065 EPS 33 -0.065 -0.065 -0.065 EPS 34 -0.065 -0.065 -0.065 EPS 35 -0.065 -0.065 -0.065 EPS 36 -0.065 -0.065 -0.065 EPS 37 -0.065 -0.065 -0.065 EPS 38 -0.065 -0.065 -0.065 EPS 39 -0.065 -0.065 -0.065 EPS 40 -0.065 -0.065 -0.065 EPS 41 -0.065 -0.065 -0.065 EPS 42 -0.065 -0.065 -0.065 EPS 43 -0.065 -0.065 -0.065 EPS 44 -0.065 -0.065 -0.065 EPS 45 -0.065 -0.065 -0.065 EPS 46 -0.065 -0.065 -0.065 EPS 47 -0.065 -0.065 -0.065 EPS 48 -0.065 -0.065 -0.065 EPS 49 -0.065 -0.065 -0.065 EPS 50 -0.065 -0.065 -0.065 EPS 51 -0.065 -0.065 -0.065 EPS 52 -0.065 -0.065 -0.065 EPS 53 -0.065 -0.065 -0.065 EPS 54 -0.065 -0.065 -0.065 EPS 55 -0.065 -0.065 -0.065 EPS 56 -0.065 -0.065 -0.065 EPS 57 -0.065 -0.065 -0.065 EPS 58 -0.065 -0.065 -0.065 EPS 59 -0.065 -0.065 -0.065 EPS 60 -0.065 -0.065 -0.065 EPS ---- EQU FORCE Radiative forcing equation LOWER LEVEL UPPER MARGINAL 1 -0.060 -0.060 -0.060 EPS 2 -0.024 -0.024 -0.024 -162.038 3 0.012 0.012 0.012 -147.992 4 0.048 0.048 0.048 -130.476 5 0.084 0.084 0.084 -112.270 6 0.120 0.120 0.120 -94.906 7 0.156 0.156 0.156 -79.147 8 0.192 0.192 0.192 -65.299 9 0.228 0.228 0.228 -53.398 10 0.264 0.264 0.264 -43.336 11 0.300 0.300 0.300 -34.924 12 0.300 0.300 0.300 -27.947 13 0.300 0.300 0.300 -22.234 14 0.300 0.300 0.300 -17.599 15 0.300 0.300 0.300 -13.864 16 0.300 0.300 0.300 -10.868 17 0.300 0.300 0.300 -8.474 18 0.300 0.300 0.300 -6.569 19 0.300 0.300 0.300 -5.057 20 0.300 0.300 0.300 -3.865 21 0.300 0.300 0.300 -2.932 22 0.300 0.300 0.300 -2.215 23 0.300 0.300 0.300 -1.671 24 0.300 0.300 0.300 -1.262 25 0.300 0.300 0.300 -0.954 26 0.300 0.300 0.300 -0.723 27 0.300 0.300 0.300 -0.549 28 0.300 0.300 0.300 -0.418 29 0.300 0.300 0.300 -0.319 30 0.300 0.300 0.300 -0.244 31 0.300 0.300 0.300 -0.186 32 0.300 0.300 0.300 -0.143 33 0.300 0.300 0.300 -0.109 34 0.300 0.300 0.300 -0.084 35 0.300 0.300 0.300 -0.065 36 0.300 0.300 0.300 -0.050 37 0.300 0.300 0.300 -0.038 38 0.300 0.300 0.300 -0.030 39 0.300 0.300 0.300 -0.023 40 0.300 0.300 0.300 -0.018 41 0.300 0.300 0.300 -0.014 42 0.300 0.300 0.300 -0.011 43 0.300 0.300 0.300 -0.008 44 0.300 0.300 0.300 -0.006 45 0.300 0.300 0.300 -0.005 46 0.300 0.300 0.300 -0.004 47 0.300 0.300 0.300 -0.003 48 0.300 0.300 0.300 -0.002 49 0.300 0.300 0.300 -0.002 50 0.300 0.300 0.300 -0.001 51 0.300 0.300 0.300 -0.001 52 0.300 0.300 0.300 -8.500E-4 53 0.300 0.300 0.300 -6.600E-4 54 0.300 0.300 0.300 -5.103E-4 55 0.300 0.300 0.300 -3.912E-4 56 0.300 0.300 0.300 -2.948E-4 57 0.300 0.300 0.300 -2.148E-4 58 0.300 0.300 0.300 -1.457E-4 59 0.300 0.300 0.300 -8.313E-5 60 0.300 0.300 0.300 -2.381E-5 ---- EQU MMAT0 Starting atmospheric concentration LOWER LEVEL UPPER MARGINAL 1 808.900 808.900 808.900 -2.792 ---- EQU MMAT Atmospheric concentration equation LOWER LEVEL UPPER MARGINAL 2 . . . -3.215 3 . . . -3.163 4 . . . -2.598 5 . . . -2.100 6 . . . -1.679 7 . . . -1.330 8 . . . -1.048 9 . . . -0.821 10 . . . -0.641 11 . . . -0.499 12 . . . -0.388 13 . . . -0.301 14 . . . -0.233 15 . . . -0.181 16 . . . -0.141 17 . . . -0.109 18 . . . -0.085 19 . . . -0.066 20 . . . -0.052 21 . . . -0.040 22 . . . -0.031 23 . . . -0.024 24 . . . -0.019 25 . . . -0.015 26 . . . -0.011 27 . . . -0.009 28 . . . -0.007 29 . . . -0.005 30 . . . -0.004 31 . . . -0.003 32 . . . -0.002 33 . . . -0.002 34 . . . -0.002 35 . . . -0.001 36 . . . -9.202E-4 37 . . . -7.183E-4 38 . . . -5.610E-4 39 . . . -4.384E-4 40 . . . -3.427E-4 41 . . . -2.680E-4 42 . . . -2.097E-4 43 . . . -1.641E-4 44 . . . -1.284E-4 45 . . . -1.004E-4 46 . . . -7.851E-5 47 . . . -6.133E-5 48 . . . -4.784E-5 49 . . . -3.724E-5 50 . . . -2.890E-5 51 . . . -2.232E-5 52 . . . -1.713E-5 53 . . . -1.302E-5 54 . . . -9.751E-6 55 . . . -7.148E-6 56 . . . -5.071E-6 57 . . . -3.415E-6 58 . . . -2.110E-6 59 . . . -1.119E-6 60 . . . -4.387E-7 ---- EQU MMATAVEQ Average concentrations equation LOWER LEVEL UPPER MARGINAL 1 . . . 7.025E-23 2 . . . -1.003 3 . . . -0.872 4 . . . -0.732 5 . . . -0.600 6 . . . -0.485 7 . . . -0.387 8 . . . -0.307 9 . . . -0.241 10 . . . -0.189 11 . . . -0.148 12 . . . -0.115 13 . . . -0.089 14 . . . -0.069 15 . . . -0.053 16 . . . -0.041 17 . . . -0.032 18 . . . -0.025 19 . . . -0.019 20 . . . -0.015 21 . . . -0.012 22 . . . -0.009 23 . . . -0.007 24 . . . -0.006 25 . . . -0.004 26 . . . -0.003 27 . . . -0.003 28 . . . -0.002 29 . . . -0.002 30 . . . -0.001 31 . . . -9.418E-4 32 . . . -7.317E-4 33 . . . -5.690E-4 34 . . . -4.428E-4 35 . . . -3.449E-4 36 . . . -2.688E-4 37 . . . -2.097E-4 38 . . . -1.637E-4 39 . . . -1.278E-4 40 . . . -0.999E-4 41 . . . -7.813E-5 42 . . . -6.114E-5 43 . . . -4.788E-5 44 . . . -3.751E-5 45 . . . -2.941E-5 46 . . . -2.307E-5 47 . . . -1.811E-5 48 . . . -1.422E-5 49 . . . -1.117E-5 50 . . . -8.770E-6 51 . . . -6.887E-6 52 . . . -5.403E-6 53 . . . -4.230E-6 54 . . . -3.296E-6 55 . . . -2.547E-6 56 . . . -1.934E-6 57 . . . -1.419E-6 58 . . . -9.697E-7 59 . . . -5.572E-7 60 . . . -3.203E-7 ---- EQU MMU0 Initial shallow ocean concentration LOWER LEVEL UPPER MARGINAL 1 1255.000 1255.000 1255.000 -1.148 ---- EQU MMU Shallow ocean concentration LOWER LEVEL UPPER MARGINAL 2 . . . -0.980 3 . . . -0.788 4 . . . -0.627 5 . . . -0.495 6 . . . -0.389 7 . . . -0.305 8 . . . -0.238 9 . . . -0.185 10 . . . -0.144 11 . . . -0.112 12 . . . -0.087 13 . . . -0.067 14 . . . -0.052 15 . . . -0.041 16 . . . -0.032 17 . . . -0.025 18 . . . -0.019 19 . . . -0.015 20 . . . -0.012 21 . . . -0.009 22 . . . -0.007 23 . . . -0.005 24 . . . -0.004 25 . . . -0.003 26 . . . -0.003 27 . . . -0.002 28 . . . -0.002 29 . . . -0.001 30 . . . -9.297E-4 31 . . . -7.242E-4 32 . . . -5.645E-4 33 . . . -4.403E-4 34 . . . -3.436E-4 35 . . . -2.683E-4 36 . . . -2.096E-4 37 . . . -1.637E-4 38 . . . -1.280E-4 39 . . . -1.000E-4 40 . . . -7.818E-5 41 . . . -6.108E-5 42 . . . -4.770E-5 43 . . . -3.721E-5 44 . . . -2.898E-5 45 . . . -2.252E-5 46 . . . -1.745E-5 47 . . . -1.347E-5 48 . . . -1.033E-5 49 . . . -7.866E-6 50 . . . -5.927E-6 51 . . . -4.403E-6 52 . . . -3.210E-6 53 . . . -2.279E-6 54 . . . -1.561E-6 55 . . . -1.015E-6 56 . . . -6.125E-7 57 . . . -3.289E-7 58 . . . -1.452E-7 59 . . . -4.265E-8 60 . . . 4.079E-23 ---- EQU MML0 Initial lower ocean concentration LOWER LEVEL UPPER MARGINAL 1 18365.000 18365.000 18365.000 -0.014 ---- EQU MML Lower ocean concentration LOWER LEVEL UPPER MARGINAL 2 . . . -0.011 3 . . . -0.009 4 . . . -0.007 5 . . . -0.005 6 . . . -0.004 7 . . . -0.003 8 . . . -0.003 9 . . . -0.002 10 . . . -0.002 11 . . . -0.001 12 . . . -9.347E-4 13 . . . -7.270E-4 14 . . . -5.657E-4 15 . . . -4.402E-4 16 . . . -3.426E-4 17 . . . -2.665E-4 18 . . . -2.072E-4 19 . . . -1.610E-4 20 . . . -1.250E-4 21 . . . -9.706E-5 22 . . . -7.535E-5 23 . . . -5.853E-5 24 . . . -4.549E-5 25 . . . -3.537E-5 26 . . . -2.752E-5 27 . . . -2.143E-5 28 . . . -1.669E-5 29 . . . -1.301E-5 30 . . . -1.014E-5 31 . . . -7.905E-6 32 . . . -6.164E-6 33 . . . -4.806E-6 34 . . . -3.746E-6 35 . . . -2.918E-6 36 . . . -2.272E-6 37 . . . -1.767E-6 38 . . . -1.372E-6 39 . . . -1.063E-6 40 . . . -8.221E-7 41 . . . -6.336E-7 42 . . . -4.863E-7 43 . . . -3.715E-7 44 . . . -2.820E-7 45 . . . -2.124E-7 46 . . . -1.585E-7 47 . . . -1.168E-7 48 . . . -8.488E-8 49 . . . -6.054E-8 50 . . . -4.218E-8 51 . . . -2.854E-8 52 . . . -1.859E-8 53 . . . -1.152E-8 54 . . . -6.670E-9 55 . . . -3.514E-9 56 . . . -1.609E-9 57 . . . -5.85E-10 58 . . . -1.33E-10 59 . . . 5.162E-24 60 . . . 2.522E-24 ---- EQU TATMEQ Temperature-climate equation for atmosphere LOWER LEVEL UPPER MARGINAL 2 . . . -736.538 3 . . . -672.693 4 . . . -593.071 5 . . . -510.319 6 . . . -431.392 7 . . . -359.760 8 . . . -296.812 9 . . . -242.720 10 . . . -196.980 11 . . . -158.746 12 . . . -127.030 13 . . . -101.064 14 . . . -79.997 15 . . . -63.017 16 . . . -49.398 17 . . . -38.518 18 . . . -29.857 19 . . . -22.988 20 . . . -17.567 21 . . . -13.329 22 . . . -10.066 23 . . . -7.595 24 . . . -5.735 25 . . . -4.338 26 . . . -3.288 27 . . . -2.497 28 . . . -1.901 29 . . . -1.449 30 . . . -1.107 31 . . . -0.847 32 . . . -0.649 33 . . . -0.498 34 . . . -0.382 35 . . . -0.294 36 . . . -0.226 37 . . . -0.174 38 . . . -0.134 39 . . . -0.104 40 . . . -0.080 41 . . . -0.062 42 . . . -0.048 43 . . . -0.037 44 . . . -0.029 45 . . . -0.022 46 . . . -0.017 47 . . . -0.014 48 . . . -0.011 49 . . . -0.008 50 . . . -0.006 51 . . . -0.005 52 . . . -0.004 53 . . . -0.003 54 . . . -0.002 55 . . . -0.002 56 . . . -0.001 57 . . . -9.762E-4 58 . . . -6.623E-4 59 . . . -3.779E-4 60 . . . -1.082E-4 ---- EQU TATM0EQ Initial condition for atmospheric temperature LOWER LEVEL UPPER MARGINAL 1 0.731 0.731 0.731 -763.341 ---- EQU TOCEANEQ Temperature-climate equation for lower oceans LOWER LEVEL UPPER MARGINAL 2 . . . -219.446 3 . . . -184.261 4 . . . -152.756 5 . . . -125.342 6 . . . -101.969 7 . . . -82.342 8 . . . -66.055 9 . . . -52.669 10 . . . -41.756 11 . . . -32.925 12 . . . -25.833 13 . . . -20.171 14 . . . -15.675 15 . . . -12.122 16 . . . -9.328 17 . . . -7.143 18 . . . -5.444 19 . . . -4.134 20 . . . -3.131 21 . . . -2.370 22 . . . -1.795 23 . . . -1.362 24 . . . -1.035 25 . . . -0.788 26 . . . -0.602 27 . . . -0.460 28 . . . -0.352 29 . . . -0.270 30 . . . -0.207 31 . . . -0.159 32 . . . -0.122 33 . . . -0.094 34 . . . -0.073 35 . . . -0.056 36 . . . -0.043 37 . . . -0.033 38 . . . -0.026 39 . . . -0.020 40 . . . -0.016 41 . . . -0.012 42 . . . -0.009 43 . . . -0.007 44 . . . -0.006 45 . . . -0.004 46 . . . -0.003 47 . . . -0.003 48 . . . -0.002 49 . . . -0.002 50 . . . -0.001 51 . . . -8.580E-4 52 . . . -6.348E-4 53 . . . -4.598E-4 54 . . . -3.228E-4 55 . . . -2.163E-4 56 . . . -1.346E-4 57 . . . -7.385E-5 58 . . . -3.173E-5 59 . . . -7.144E-6 60 . . . 1.542E-20 ---- EQU TOCEAN0EQ Initial condition for lower ocean temperature LOWER LEVEL UPPER MARGINAL 1 0.007 0.007 0.007 -257.085 ---- EQU PERIODUEQ Instantaneous utility function equation LOWER LEVEL UPPER MARGINAL 1 1.000 1.000 1.000 335.773 2 1.000 1.000 1.000 316.686 3 1.000 1.000 1.000 289.492 4 1.000 1.000 1.000 259.533 5 1.000 1.000 1.000 229.757 6 1.000 1.000 1.000 201.694 7 1.000 1.000 1.000 176.051 8 1.000 1.000 1.000 153.069 9 1.000 1.000 1.000 132.727 10 1.000 1.000 1.000 114.872 11 1.000 1.000 1.000 99.289 12 1.000 1.000 1.000 85.740 13 1.000 1.000 1.000 73.993 14 1.000 1.000 1.000 63.826 15 1.000 1.000 1.000 55.038 16 1.000 1.000 1.000 47.450 17 1.000 1.000 1.000 40.902 18 1.000 1.000 1.000 35.253 19 1.000 1.000 1.000 30.382 20 1.000 1.000 1.000 26.183 21 1.000 1.000 1.000 22.563 22 1.000 1.000 1.000 19.443 23 1.000 1.000 1.000 16.754 24 1.000 1.000 1.000 14.437 25 1.000 1.000 1.000 12.440 26 1.000 1.000 1.000 10.719 27 1.000 1.000 1.000 9.237 28 1.000 1.000 1.000 7.959 29 1.000 1.000 1.000 6.858 30 1.000 1.000 1.000 5.909 31 1.000 1.000 1.000 5.092 32 1.000 1.000 1.000 4.388 33 1.000 1.000 1.000 3.781 34 1.000 1.000 1.000 3.258 35 1.000 1.000 1.000 2.807 36 1.000 1.000 1.000 2.419 37 1.000 1.000 1.000 2.084 38 1.000 1.000 1.000 1.796 39 1.000 1.000 1.000 1.547 40 1.000 1.000 1.000 1.333 41 1.000 1.000 1.000 1.149 42 1.000 1.000 1.000 0.990 43 1.000 1.000 1.000 0.853 44 1.000 1.000 1.000 0.735 45 1.000 1.000 1.000 0.633 46 1.000 1.000 1.000 0.546 47 1.000 1.000 1.000 0.470 48 1.000 1.000 1.000 0.405 49 1.000 1.000 1.000 0.349 50 1.000 1.000 1.000 0.301 51 1.000 1.000 1.000 0.259 52 1.000 1.000 1.000 0.223 53 1.000 1.000 1.000 0.192 54 1.000 1.000 1.000 0.166 55 1.000 1.000 1.000 0.143 56 1.000 1.000 1.000 0.123 57 1.000 1.000 1.000 0.106 58 1.000 1.000 1.000 0.091 59 1.000 1.000 1.000 0.079 60 1.000 1.000 1.000 0.068 ---- VAR MIU Emission control rate GHGs LOWER LEVEL UPPER MARGINAL 1 0.005 0.005 0.005 EPS 2 . 0.158 1.000 -3.04E-19 3 . 0.184 1.000 -2.49E-19 4 . 0.211 1.000 -2.05E-19 5 . 0.241 1.000 -1.68E-19 6 . 0.271 1.000 -1.37E-19 7 . 0.303 1.000 -1.10E-19 8 . 0.337 1.000 -8.63E-20 9 . 0.373 1.000 -6.45E-20 10 . 0.410 1.000 -4.40E-20 11 . 0.450 1.000 -2.41E-20 12 . 0.491 1.000 -4.10E-21 13 . 0.536 1.000 1.696E-20 14 . 0.583 1.000 4.031E-20 15 . 0.633 1.000 6.784E-20 16 . 0.687 1.000 1.029E-19 17 . 0.744 1.000 1.522E-19 18 . 0.806 1.000 2.322E-19 19 . 0.872 1.000 3.965E-19 20 . 0.943 1.000 9.796E-19 21 . 1.000 1.000 0.446 22 . 1.000 1.000 1.803 23 . 1.000 1.000 2.519 24 . 1.000 1.000 2.827 25 . 1.000 1.000 2.880 26 . 1.000 1.000 2.781 27 . 1.000 1.000 2.597 28 . 1.000 1.000 2.370 29 . 1.000 1.000 2.128 30 . 1.000 1.000 1.888 31 . 1.000 1.000 1.659 32 . 1.000 1.000 1.448 33 . 1.000 1.000 1.256 34 . 1.000 1.000 1.085 35 . 1.000 1.000 0.933 36 . 1.000 1.000 0.801 37 . 1.000 1.000 0.685 38 . 1.000 1.000 0.585 39 . 1.000 1.000 0.498 40 . 1.000 1.000 0.424 41 . 1.000 1.000 0.360 42 . 1.000 1.000 0.305 43 . 1.000 1.000 0.258 44 . 1.000 1.000 0.218 45 . 1.000 1.000 0.184 46 . 1.000 1.000 0.155 47 . 1.000 1.000 0.130 48 . 1.000 1.000 0.109 49 . 1.000 1.000 0.091 50 . 1.000 1.000 0.076 51 . 1.000 1.000 0.062 52 . 1.000 1.000 0.051 53 . 1.000 1.000 0.041 54 . 1.000 1.000 0.032 55 . 1.000 1.000 0.024 56 . 1.000 1.000 0.017 57 . 1.000 1.000 0.011 58 . 1.000 1.000 0.006 59 . 1.000 1.000 0.002 60 . 1.2277E-4 1.000 -1.58E-11 ---- VAR FORC Radiative forcing in watts per m2 LOWER LEVEL UPPER MARGINAL 1 -INF 1.791 +INF EPS 2 -INF 2.142 +INF EPS 3 -INF 2.453 +INF EPS 4 -INF 2.758 +INF EPS 5 -INF 3.056 +INF EPS 6 -INF 3.342 +INF EPS 7 -INF 3.615 +INF EPS 8 -INF 3.873 +INF EPS 9 -INF 4.118 +INF EPS 10 -INF 4.347 +INF EPS 11 -INF 4.560 +INF EPS 12 -INF 4.720 +INF EPS 13 -INF 4.861 +INF EPS 14 -INF 4.980 +INF EPS 15 -INF 5.075 +INF EPS 16 -INF 5.142 +INF EPS 17 -INF 5.174 +INF EPS 18 -INF 5.164 +INF EPS 19 -INF 5.102 +INF EPS 20 -INF 4.976 +INF EPS 21 -INF 4.784 +INF EPS 22 -INF 4.580 +INF EPS 23 -INF 4.410 +INF EPS 24 -INF 4.265 +INF EPS 25 -INF 4.139 +INF EPS 26 -INF 4.027 +INF EPS 27 -INF 3.925 +INF EPS 28 -INF 3.830 +INF EPS 29 -INF 3.742 +INF EPS 30 -INF 3.658 +INF EPS 31 -INF 3.578 +INF EPS 32 -INF 3.501 +INF EPS 33 -INF 3.426 +INF EPS 34 -INF 3.354 +INF EPS 35 -INF 3.284 +INF EPS 36 -INF 3.216 +INF EPS 37 -INF 3.149 +INF EPS 38 -INF 3.084 +INF EPS 39 -INF 3.021 +INF EPS 40 -INF 2.959 +INF EPS 41 -INF 2.898 +INF EPS 42 -INF 2.839 +INF EPS 43 -INF 2.782 +INF EPS 44 -INF 2.725 +INF EPS 45 -INF 2.670 +INF EPS 46 -INF 2.617 +INF EPS 47 -INF 2.565 +INF EPS 48 -INF 2.514 +INF EPS 49 -INF 2.464 +INF EPS 50 -INF 2.415 +INF EPS 51 -INF 2.368 +INF EPS 52 -INF 2.322 +INF EPS 53 -INF 2.277 +INF EPS 54 -INF 2.234 +INF EPS 55 -INF 2.191 +INF EPS 56 -INF 2.150 +INF EPS 57 -INF 2.109 +INF EPS 58 -INF 2.070 +INF EPS 59 -INF 2.032 +INF EPS 60 -INF -1.787 +INF EPS ---- VAR TATM Temperature of atmosphere in degrees C LOWER LEVEL UPPER MARGINAL 1 . 0.731 20.000 -7.80E-20 2 . 0.951 20.000 -5.92E-20 3 . 1.165 20.000 -4.77E-20 4 . 1.376 20.000 -3.98E-20 5 . 1.584 20.000 -3.42E-20 6 . 1.786 20.000 -2.99E-20 7 . 1.984 20.000 -2.66E-20 8 . 2.175 20.000 -2.39E-20 9 . 2.360 20.000 -2.17E-20 10 . 2.537 20.000 -2.00E-20 11 . 2.706 20.000 -1.85E-20 12 . 2.858 20.000 -1.73E-20 13 . 2.996 20.000 -1.63E-20 14 . 3.119 20.000 -1.55E-20 15 . 3.227 20.000 -1.48E-20 16 . 3.320 20.000 -1.43E-20 17 . 3.395 20.000 -1.39E-20 18 . 3.448 20.000 -1.36E-20 19 . 3.477 20.000 -1.34E-20 20 . 3.474 20.000 -1.35E-20 21 . 3.437 20.000 -1.37E-20 22 . 3.374 20.000 -1.40E-20 23 . 3.300 20.000 -1.44E-20 24 . 3.226 20.000 -1.48E-20 25 . 3.154 20.000 -1.53E-20 26 . 3.086 20.000 -1.57E-20 27 . 3.023 20.000 -1.61E-20 28 . 2.964 20.000 -1.65E-20 29 . 2.909 20.000 -1.69E-20 30 . 2.857 20.000 -1.73E-20 31 . 2.808 20.000 -1.76E-20 32 . 2.760 20.000 -1.80E-20 33 . 2.715 20.000 -1.84E-20 34 . 2.671 20.000 -1.88E-20 35 . 2.627 20.000 -1.91E-20 36 . 2.585 20.000 -1.95E-20 37 . 2.544 20.000 -1.99E-20 38 . 2.503 20.000 -2.03E-20 39 . 2.463 20.000 -2.07E-20 40 . 2.423 20.000 -2.11E-20 41 . 2.384 20.000 -2.15E-20 42 . 2.346 20.000 -2.19E-20 43 . 2.308 20.000 -2.23E-20 44 . 2.270 20.000 -2.27E-20 45 . 2.233 20.000 -2.32E-20 46 . 2.197 20.000 -2.36E-20 47 . 2.161 20.000 -2.41E-20 48 . 2.126 20.000 -2.45E-20 49 . 2.091 20.000 -2.50E-20 50 . 2.057 20.000 -2.55E-20 51 . 2.023 20.000 -2.60E-20 52 . 1.990 20.000 -2.65E-20 53 . 1.957 20.000 -2.70E-20 54 . 1.925 20.000 -2.75E-20 55 . 1.894 20.000 -2.80E-20 56 . 1.863 20.000 -2.85E-20 57 . 1.833 20.000 -2.91E-20 58 . 1.803 20.000 -2.96E-20 59 . 1.774 20.000 -3.01E-20 60 . 0.913 20.000 -6.17E-20 ---- VAR TOCEAN Temperatureof lower oceans degrees C LOWER LEVEL UPPER MARGINAL 1 -1.000 0.007 20.000 -5.59E-20 2 -1.000 0.043 20.000 -5.38E-20 3 -1.000 0.088 20.000 -5.14E-20 4 -1.000 0.142 20.000 -4.89E-20 5 -1.000 0.204 20.000 -4.62E-20 6 -1.000 0.273 20.000 -4.35E-20 7 -1.000 0.349 20.000 -4.09E-20 8 -1.000 0.430 20.000 -3.84E-20 9 -1.000 0.518 20.000 -3.60E-20 10 -1.000 0.610 20.000 -3.37E-20 11 -1.000 0.706 20.000 -3.16E-20 12 -1.000 0.806 20.000 -2.97E-20 13 -1.000 0.909 20.000 -2.79E-20 14 -1.000 1.013 20.000 -2.63E-20 15 -1.000 1.118 20.000 -2.48E-20 16 -1.000 1.224 20.000 -2.35E-20 17 -1.000 1.329 20.000 -2.23E-20 18 -1.000 1.432 20.000 -2.12E-20 19 -1.000 1.533 20.000 -2.02E-20 20 -1.000 1.630 20.000 -1.93E-20 21 -1.000 1.722 20.000 -1.85E-20 22 -1.000 1.808 20.000 -1.78E-20 23 -1.000 1.886 20.000 -1.73E-20 24 -1.000 1.957 20.000 -1.67E-20 25 -1.000 2.020 20.000 -1.63E-20 26 -1.000 2.077 20.000 -1.59E-20 27 -1.000 2.127 20.000 -1.56E-20 28 -1.000 2.172 20.000 -1.53E-20 29 -1.000 2.212 20.000 -1.51E-20 30 -1.000 2.247 20.000 -1.49E-20 31 -1.000 2.277 20.000 -1.47E-20 32 -1.000 2.304 20.000 -1.46E-20 33 -1.000 2.327 20.000 -1.45E-20 34 -1.000 2.346 20.000 -1.43E-20 35 -1.000 2.362 20.000 -1.43E-20 36 -1.000 2.375 20.000 -1.42E-20 37 -1.000 2.386 20.000 -1.41E-20 38 -1.000 2.394 20.000 -1.41E-20 39 -1.000 2.399 20.000 -1.41E-20 40 -1.000 2.402 20.000 -1.40E-20 41 -1.000 2.403 20.000 -1.40E-20 42 -1.000 2.403 20.000 -1.40E-20 43 -1.000 2.400 20.000 -1.41E-20 44 -1.000 2.395 20.000 -1.41E-20 45 -1.000 2.389 20.000 -1.41E-20 46 -1.000 2.381 20.000 -1.42E-20 47 -1.000 2.372 20.000 -1.42E-20 48 -1.000 2.361 20.000 -1.43E-20 49 -1.000 2.350 20.000 -1.43E-20 50 -1.000 2.337 20.000 -1.44E-20 51 -1.000 2.323 20.000 -1.45E-20 52 -1.000 2.308 20.000 -1.46E-20 53 -1.000 2.292 20.000 -1.46E-20 54 -1.000 2.275 20.000 -1.47E-20 55 -1.000 2.258 20.000 -1.48E-20 56 -1.000 2.239 20.000 -1.49E-20 57 -1.000 2.221 20.000 -1.51E-20 58 -1.000 2.201 20.000 -1.52E-20 59 -1.000 2.181 20.000 -1.53E-20 60 -1.000 2.161 20.000 -1.54E-20 ---- VAR MAT Carbon concentration in atmosphere GtC LOWER LEVEL UPPER MARGINAL 1 10.000 808.900 +INF -7.41E-23 2 10.000 863.108 +INF -6.94E-23 3 10.000 907.615 +INF -6.60E-23 4 10.000 954.046 +INF -6.27E-23 5 10.000 1001.582 +INF -5.97E-23 6 10.000 1049.507 +INF -5.70E-23 7 10.000 1097.239 +INF -5.45E-23 8 10.000 1144.301 +INF -5.22E-23 9 10.000 1190.270 +INF -5.02E-23 10 10.000 1234.726 +INF -4.84E-23 11 10.000 1277.209 +INF -4.67E-23 12 10.000 1317.180 +INF -4.53E-23 13 10.000 1353.969 +INF -4.41E-23 14 10.000 1386.732 +INF -4.30E-23 15 10.000 1414.417 +INF -4.22E-23 16 10.000 1435.729 +INF -4.15E-23 17 10.000 1449.086 +INF -4.12E-23 18 10.000 1452.574 +INF -4.11E-23 19 10.000 1443.893 +INF -4.13E-23 20 10.000 1420.329 +INF -4.20E-23 21 10.000 1378.787 +INF -4.33E-23 22 10.000 1323.823 +INF -4.51E-23 23 10.000 1280.089 +INF -4.66E-23 24 10.000 1244.333 +INF -4.80E-23 25 10.000 1214.294 +INF -4.92E-23 26 10.000 1188.395 +INF -5.03E-23 27 10.000 1165.537 +INF -5.13E-23 28 10.000 1144.951 +INF -5.22E-23 29 10.000 1126.098 +INF -5.31E-23 30 10.000 1108.600 +INF -5.39E-23 31 10.000 1092.188 +INF -5.47E-23 32 10.000 1076.673 +INF -5.55E-23 33 10.000 1061.917 +INF -5.63E-23 34 10.000 1047.822 +INF -5.71E-23 35 10.000 1034.312 +INF -5.78E-23 36 10.000 1021.335 +INF -5.86E-23 37 10.000 1008.847 +INF -5.93E-23 38 10.000 996.815 +INF -6.00E-23 39 10.000 985.213 +INF -6.07E-23 40 10.000 974.017 +INF -6.14E-23 41 10.000 963.209 +INF -6.21E-23 42 10.000 952.773 +INF -6.28E-23 43 10.000 942.692 +INF -6.35E-23 44 10.000 932.954 +INF -6.42E-23 45 10.000 923.546 +INF -6.48E-23 46 10.000 914.457 +INF -6.55E-23 47 10.000 905.674 +INF -6.61E-23 48 10.000 897.187 +INF -6.68E-23 49 10.000 888.987 +INF -6.74E-23 50 10.000 881.063 +INF -6.80E-23 51 10.000 873.407 +INF -6.86E-23 52 10.000 866.008 +INF -6.92E-23 53 10.000 858.859 +INF -6.98E-23 54 10.000 851.952 +INF -7.03E-23 55 10.000 845.277 +INF -7.09E-23 56 10.000 838.827 +INF -7.15E-23 57 10.000 832.596 +INF -7.20E-23 58 10.000 826.574 +INF -7.25E-23 59 10.000 820.756 +INF -7.30E-23 60 10.000 815.135 +INF -7.36E-23 ---- VAR MATAV Average concentrations LOWER LEVEL UPPER MARGINAL 1 . 836.004 +INF -7.08E-23 2 . 885.361 +INF -6.69E-23 3 . 930.830 +INF -6.36E-23 4 . 977.814 +INF -6.06E-23 5 . 1025.545 +INF -5.77E-23 6 . 1073.373 +INF -5.52E-23 7 . 1120.770 +INF -5.28E-23 8 . 1167.286 +INF -5.07E-23 9 . 1212.498 +INF -4.88E-23 10 . 1255.968 +INF -4.72E-23 11 . 1297.194 +INF -4.57E-23 12 . 1335.575 +INF -4.43E-23 13 . 1370.351 +INF -4.32E-23 14 . 1400.575 +INF -4.23E-23 15 . 1425.073 +INF -4.16E-23 16 . 1442.408 +INF -4.11E-23 17 . 1450.830 +INF -4.08E-23 18 . 1448.233 +INF -4.09E-23 19 . 1432.111 +INF -4.14E-23 20 . 1399.558 +INF -4.23E-23 21 . 1351.305 +INF -4.38E-23 22 . 1301.956 +INF -4.55E-23 23 . 1262.211 +INF -4.69E-23 24 . 1229.314 +INF -4.82E-23 25 . 1201.345 +INF -4.93E-23 26 . 1176.966 +INF -5.03E-23 27 . 1155.244 +INF -5.13E-23 28 . 1135.524 +INF -5.22E-23 29 . 1117.349 +INF -5.30E-23 30 . 1100.394 +INF -5.38E-23 31 . 1084.431 +INF -5.46E-23 32 . 1069.295 +INF -5.54E-23 33 . 1054.870 +INF -5.61E-23 34 . 1041.067 +INF -5.69E-23 35 . 1027.824 +INF -5.76E-23 36 . 1015.091 +INF -5.83E-23 37 . 1002.831 +INF -5.91E-23 38 . 991.014 +INF -5.98E-23 39 . 979.615 +INF -6.05E-23 40 . 968.613 +INF -6.11E-23 41 . 957.991 +INF -6.18E-23 42 . 947.732 +INF -6.25E-23 43 . 937.823 +INF -6.32E-23 44 . 928.250 +INF -6.38E-23 45 . 919.001 +INF -6.44E-23 46 . 910.065 +INF -6.51E-23 47 . 901.430 +INF -6.57E-23 48 . 893.087 +INF -6.63E-23 49 . 885.025 +INF -6.69E-23 50 . 877.235 +INF -6.75E-23 51 . 869.707 +INF -6.81E-23 52 . 862.434 +INF -6.87E-23 53 . 855.405 +INF -6.92E-23 54 . 848.614 +INF -6.98E-23 55 . 842.052 +INF -7.03E-23 56 . 835.712 +INF -7.09E-23 57 . 829.585 +INF -7.14E-23 58 . 823.665 +INF -7.19E-23 59 . 817.945 +INF -7.24E-23 60 . 407.567 +INF -1.45E-22 ---- VAR MU Carbon concentration in shallow oceans Gtc LOWER LEVEL UPPER MARGINAL 1 100.000 1255.000 +INF -5.13E-23 2 100.000 1280.635 +INF -5.02E-23 3 100.000 1312.775 +INF -4.88E-23 4 100.000 1348.628 +INF -4.74E-23 5 100.000 1388.018 +INF -4.60E-23 6 100.000 1430.640 +INF -4.45E-23 7 100.000 1476.095 +INF -4.30E-23 8 100.000 1523.939 +INF -4.16E-23 9 100.000 1573.698 +INF -4.02E-23 10 100.000 1624.892 +INF -3.88E-23 11 100.000 1677.030 +INF -3.76E-23 12 100.000 1729.608 +INF -3.63E-23 13 100.000 1782.094 +INF -3.52E-23 14 100.000 1833.906 +INF -3.42E-23 15 100.000 1884.390 +INF -3.32E-23 16 100.000 1932.787 +INF -3.23E-23 17 100.000 1978.207 +INF -3.15E-23 18 100.000 2019.588 +INF -3.09E-23 19 100.000 2055.665 +INF -3.03E-23 20 100.000 2084.919 +INF -2.98E-23 21 100.000 2105.545 +INF -2.95E-23 22 100.000 2115.413 +INF -2.94E-23 23 100.000 2113.569 +INF -2.94E-23 24 100.000 2103.864 +INF -2.96E-23 25 100.000 2088.965 +INF -2.98E-23 26 100.000 2070.717 +INF -3.01E-23 27 100.000 2050.392 +INF -3.04E-23 28 100.000 2028.871 +INF -3.07E-23 29 100.000 2006.754 +INF -3.11E-23 30 100.000 1984.454 +INF -3.14E-23 31 100.000 1962.251 +INF -3.18E-23 32 100.000 1940.332 +INF -3.22E-23 33 100.000 1918.821 +INF -3.26E-23 34 100.000 1897.798 +INF -3.29E-23 35 100.000 1877.313 +INF -3.33E-23 36 100.000 1857.393 +INF -3.37E-23 37 100.000 1838.052 +INF -3.41E-23 38 100.000 1819.296 +INF -3.44E-23 39 100.000 1801.119 +INF -3.48E-23 40 100.000 1783.516 +INF -3.52E-23 41 100.000 1766.476 +INF -3.55E-23 42 100.000 1749.985 +INF -3.59E-23 43 100.000 1734.031 +INF -3.62E-23 44 100.000 1718.600 +INF -3.66E-23 45 100.000 1703.676 +INF -3.69E-23 46 100.000 1689.244 +INF -3.73E-23 47 100.000 1675.290 +INF -3.76E-23 48 100.000 1661.799 +INF -3.79E-23 49 100.000 1648.756 +INF -3.82E-23 50 100.000 1636.148 +INF -3.86E-23 51 100.000 1623.960 +INF -3.89E-23 52 100.000 1612.179 +INF -3.92E-23 53 100.000 1600.792 +INF -3.95E-23 54 100.000 1589.786 +INF -3.98E-23 55 100.000 1579.149 +INF -4.00E-23 56 100.000 1568.868 +INF -4.03E-23 57 100.000 1558.933 +INF -4.06E-23 58 100.000 1549.330 +INF -4.09E-23 59 100.000 1540.051 +INF -4.11E-23 60 100.000 1531.083 +INF -4.14E-23 ---- VAR ML Carbon concentration in lower oceans GtC LOWER LEVEL UPPER MARGINAL 1 1000.000 18365.000 +INF -3.41E-24 2 1000.000 18370.477 +INF -3.41E-24 3 1000.000 18377.219 +INF -3.41E-24 4 1000.000 18385.547 +INF -3.41E-24 5 1000.000 18395.642 +INF -3.40E-24 6 1000.000 18407.675 +INF -3.40E-24 7 1000.000 18421.801 +INF -3.40E-24 8 1000.000 18438.156 +INF -3.40E-24 9 1000.000 18456.852 +INF -3.39E-24 10 1000.000 18477.978 +INF -3.39E-24 11 1000.000 18501.597 +INF -3.38E-24 12 1000.000 18527.750 +INF -3.38E-24 13 1000.000 18556.450 +INF -3.37E-24 14 1000.000 18587.685 +INF -3.37E-24 15 1000.000 18621.414 +INF -3.36E-24 16 1000.000 18657.561 +INF -3.35E-24 17 1000.000 18696.015 +INF -3.35E-24 18 1000.000 18736.620 +INF -3.34E-24 19 1000.000 18779.168 +INF -3.33E-24 20 1000.000 18823.387 +INF -3.32E-24 21 1000.000 18868.931 +INF -3.31E-24 22 1000.000 18915.364 +INF -3.31E-24 23 1000.000 18962.146 +INF -3.30E-24 24 1000.000 19008.689 +INF -3.29E-24 25 1000.000 19054.602 +INF -3.28E-24 26 1000.000 19099.627 +INF -3.27E-24 27 1000.000 19143.600 +INF -3.26E-24 28 1000.000 19186.418 +INF -3.26E-24 29 1000.000 19228.028 +INF -3.25E-24 30 1000.000 19268.401 +INF -3.24E-24 31 1000.000 19307.534 +INF -3.23E-24 32 1000.000 19345.434 +INF -3.23E-24 33 1000.000 19382.121 +INF -3.22E-24 34 1000.000 19417.617 +INF -3.22E-24 35 1000.000 19451.952 +INF -3.21E-24 36 1000.000 19485.155 +INF -3.20E-24 37 1000.000 19517.259 +INF -3.20E-24 38 1000.000 19548.295 +INF -3.19E-24 39 1000.000 19578.297 +INF -3.19E-24 40 1000.000 19607.297 +INF -3.18E-24 41 1000.000 19635.326 +INF -3.18E-24 42 1000.000 19662.415 +INF -3.17E-24 43 1000.000 19688.596 +INF -3.17E-24 44 1000.000 19713.897 +INF -3.16E-24 45 1000.000 19738.347 +INF -3.16E-24 46 1000.000 19761.976 +INF -3.16E-24 47 1000.000 19784.809 +INF -3.15E-24 48 1000.000 19806.873 +INF -3.15E-24 49 1000.000 19828.193 +INF -3.15E-24 50 1000.000 19848.795 +INF 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+INF -4.43E-20 22 . 1.204 +INF -4.92E-20 23 . 1.083 +INF -5.47E-20 24 . 0.975 +INF -6.07E-20 25 . 0.877 +INF -6.75E-20 26 . 0.790 +INF -7.50E-20 27 . 0.711 +INF -8.33E-20 28 . 0.640 +INF -9.26E-20 29 . 0.576 +INF -1.03E-19 30 . 0.518 +INF -1.14E-19 31 . 0.466 +INF -1.27E-19 32 . 0.420 +INF -1.41E-19 33 . 0.378 +INF -1.57E-19 34 . 0.340 +INF -1.74E-19 35 . 0.306 +INF -1.94E-19 36 . 0.275 +INF -2.15E-19 37 . 0.248 +INF -2.39E-19 38 . 0.223 +INF -2.66E-19 39 . 0.201 +INF -2.95E-19 40 . 0.181 +INF -3.28E-19 41 . 0.163 +INF -3.64E-19 42 . 0.146 +INF -4.05E-19 43 . 0.132 +INF -4.50E-19 44 . 0.119 +INF -5.00E-19 45 . 0.107 +INF -5.55E-19 46 . 0.096 +INF -6.17E-19 47 . 0.086 +INF -6.85E-19 48 . 0.078 +INF -7.62E-19 49 . 0.070 +INF -8.46E-19 50 . 0.063 +INF -9.40E-19 51 . 0.057 +INF -1.04E-18 52 . 0.051 +INF -1.16E-18 53 . 0.046 +INF -1.29E-18 54 . 0.041 +INF -1.43E-18 55 . 0.037 +INF -1.59E-18 56 . 0.033 +INF -1.77E-18 57 . 0.030 +INF -1.97E-18 58 . 0.027 +INF -2.18E-18 59 . 0.024 +INF -2.43E-18 60 . 6855.000 +INF -8.64E-24 ---- VAR C Consumption trillions US dollars LOWER LEVEL UPPER MARGINAL 1 20.000 43.354 +INF -2.54E-21 2 20.000 54.199 +INF -1.73E-21 3 20.000 66.322 +INF -1.28E-21 4 20.000 79.624 +INF -9.93E-22 5 20.000 94.141 +INF -7.99E-22 6 20.000 109.993 +INF -6.58E-22 7 20.000 127.359 +INF -5.52E-22 8 20.000 146.451 +INF -4.68E-22 9 20.000 167.506 +INF -4.02E-22 10 20.000 190.785 +INF -3.47E-22 11 20.000 216.565 +INF -3.01E-22 12 20.000 245.179 +INF -2.63E-22 13 20.000 276.959 +INF -2.30E-22 14 20.000 312.265 +INF -2.03E-22 15 20.000 351.488 +INF -1.79E-22 16 20.000 395.053 +INF -1.58E-22 17 20.000 443.430 +INF -1.40E-22 18 20.000 497.144 +INF -1.24E-22 19 20.000 556.782 +INF -1.10E-22 20 20.000 623.020 +INF -9.82E-23 21 20.000 697.090 +INF -8.75E-23 22 20.000 781.240 +INF -7.78E-23 23 20.000 875.188 +INF -6.93E-23 24 20.000 979.598 +INF -6.17E-23 25 20.000 1095.268 +INF -5.51E-23 26 20.000 1223.116 +INF -4.92E-23 27 20.000 1364.177 +INF -4.41E-23 28 20.000 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EPS 3 -INF 11.241 +INF EPS 4 -INF 12.971 +INF EPS 5 -INF 14.927 +INF EPS 6 -INF 17.119 +INF EPS 7 -INF 19.567 +INF EPS 8 -INF 22.299 +INF EPS 9 -INF 25.345 +INF EPS 10 -INF 28.740 +INF EPS 11 -INF 32.523 +INF EPS 12 -INF 36.740 +INF EPS 13 -INF 41.439 +INF EPS 14 -INF 46.671 +INF EPS 15 -INF 52.493 +INF EPS 16 -INF 58.968 +INF EPS 17 -INF 66.164 +INF EPS 18 -INF 74.159 +INF EPS 19 -INF 83.040 +INF EPS 20 -INF 92.906 +INF EPS 21 -INF 103.942 +INF EPS 22 -INF 116.482 +INF EPS 23 -INF 130.484 +INF EPS 24 -INF 146.046 +INF EPS 25 -INF 163.287 +INF EPS 26 -INF 182.344 +INF EPS 27 -INF 203.371 +INF EPS 28 -INF 226.539 +INF EPS 29 -INF 252.033 +INF EPS 30 -INF 280.054 +INF EPS 31 -INF 310.822 +INF EPS 32 -INF 344.568 +INF EPS 33 -INF 381.544 +INF EPS 34 -INF 422.017 +INF EPS 35 -INF 466.272 +INF EPS 36 -INF 514.616 +INF EPS 37 -INF 567.370 +INF EPS 38 -INF 624.882 +INF EPS 39 -INF 687.516 +INF EPS 40 -INF 755.661 +INF EPS 41 -INF 829.731 +INF EPS 42 -INF 910.161 +INF EPS 43 -INF 997.414 +INF 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0.220 EPS 30 0.220 0.220 0.220 EPS 31 0.220 0.220 0.220 EPS 32 0.220 0.220 0.220 EPS 33 0.220 0.220 0.220 EPS 34 0.220 0.220 0.220 EPS 35 0.220 0.220 0.220 EPS 36 0.220 0.220 0.220 EPS 37 0.220 0.220 0.220 EPS 38 0.220 0.220 0.220 EPS 39 0.220 0.220 0.220 EPS 40 0.220 0.220 0.220 EPS 41 0.220 0.220 0.220 EPS 42 0.220 0.220 0.220 EPS 43 0.220 0.220 0.220 EPS 44 0.220 0.220 0.220 EPS 45 0.220 0.220 0.220 EPS 46 0.220 0.220 0.220 EPS 47 0.220 0.220 0.220 EPS 48 0.220 0.220 0.220 EPS 49 0.220 0.220 0.220 EPS 50 0.220 0.220 0.220 EPS 51 0.220 0.220 0.220 EPS 52 0.220 0.220 0.220 EPS 53 0.220 0.220 0.220 EPS 54 0.220 0.220 0.220 EPS 55 0.220 0.220 0.220 EPS 56 0.220 0.220 0.220 EPS 57 0.220 0.220 0.220 EPS 58 0.220 0.220 0.220 EPS 59 0.220 0.220 0.220 EPS 60 0.220 0.220 0.220 EPS ---- VAR RI Real interest rate per annum LOWER LEVEL UPPER MARGINAL 1 -INF 0.057 +INF EPS 2 -INF 0.057 +INF EPS 3 -INF 0.055 +INF EPS 4 -INF 0.052 +INF EPS 5 -INF 0.050 +INF EPS 6 -INF 0.048 +INF EPS 7 -INF 0.046 +INF EPS 8 -INF 0.045 +INF EPS 9 -INF 0.044 +INF EPS 10 -INF 0.043 +INF EPS 11 -INF 0.042 +INF EPS 12 -INF 0.042 +INF EPS 13 -INF 0.042 +INF EPS 14 -INF 0.041 +INF EPS 15 -INF 0.041 +INF EPS 16 -INF 0.041 +INF EPS 17 -INF 0.040 +INF EPS 18 -INF 0.040 +INF EPS 19 -INF 0.040 +INF EPS 20 -INF 0.040 +INF EPS 21 -INF 0.040 +INF EPS 22 -INF 0.040 +INF EPS 23 -INF 0.040 +INF EPS 24 -INF 0.040 +INF EPS 25 -INF 0.040 +INF EPS 26 -INF 0.040 +INF EPS 27 -INF 0.039 +INF EPS 28 -INF 0.039 +INF EPS 29 -INF 0.039 +INF EPS 30 -INF 0.039 +INF EPS 31 -INF 0.039 +INF EPS 32 -INF 0.039 +INF EPS 33 -INF 0.038 +INF EPS 34 -INF 0.038 +INF EPS 35 -INF 0.038 +INF EPS 36 -INF 0.038 +INF EPS 37 -INF 0.038 +INF EPS 38 -INF 0.038 +INF EPS 39 -INF 0.037 +INF EPS 40 -INF 0.037 +INF EPS 41 -INF 0.037 +INF EPS 42 -INF 0.037 +INF EPS 43 -INF 0.037 +INF EPS 44 -INF 0.037 +INF EPS 45 -INF 0.037 +INF EPS 46 -INF 0.036 +INF EPS 47 -INF 0.036 +INF EPS 48 -INF 0.036 +INF EPS 49 -INF 0.036 +INF EPS 50 -INF 0.036 +INF EPS 51 -INF 0.036 +INF EPS 52 -INF 0.036 +INF EPS 53 -INF 0.035 +INF EPS 54 -INF 0.035 +INF EPS 55 -INF 0.035 +INF EPS 56 -INF 0.035 +INF EPS 57 -INF 0.035 +INF EPS 58 -INF 0.035 +INF EPS 59 -INF 0.035 +INF EPS 60 -INF 0.036 +INF EPS ---- VAR Y Gross world product net of abatement and damages LOWER LEVEL UPPER MARGINAL 1 . 55.583 +INF -1.07E-21 2 . 69.487 +INF -8.52E-22 3 . 85.029 +INF -6.97E-22 4 . 102.082 +INF -5.80E-22 5 . 120.693 +INF -4.91E-22 6 . 141.017 +INF -4.20E-22 7 . 163.281 +INF -3.63E-22 8 . 187.758 +INF -3.15E-22 9 . 214.752 +INF -2.76E-22 10 . 244.596 +INF -2.42E-22 11 . 277.648 +INF -2.13E-22 12 . 314.332 +INF -1.88E-22 13 . 355.076 +INF -1.67E-22 14 . 400.341 +INF -1.48E-22 15 . 450.626 +INF -1.31E-22 16 . 506.478 +INF -1.17E-22 17 . 568.501 +INF -1.04E-22 18 . 637.364 +INF -9.29E-23 19 . 713.823 +INF -8.30E-23 20 . 798.744 +INF -7.41E-23 21 . 893.705 +INF -6.63E-23 22 . 1001.591 +INF -5.91E-23 23 . 1122.036 +INF -5.28E-23 24 . 1255.895 +INF -4.72E-23 25 . 1404.190 +INF -4.22E-23 26 . 1568.098 +INF -3.78E-23 27 . 1748.946 +INF -3.39E-23 28 . 1948.197 +INF -3.04E-23 29 . 2167.452 +INF -2.73E-23 30 . 2408.446 +INF -2.46E-23 31 . 2673.049 +INF -2.22E-23 32 . 2963.272 +INF -2.00E-23 33 . 3281.266 +INF -1.80E-23 34 . 3629.336 +INF -1.63E-23 35 . 4009.937 +INF -1.48E-23 36 . 4425.689 +INF -1.34E-23 37 . 4879.381 +INF -1.21E-23 38 . 5373.979 +INF -1.10E-23 39 . 5912.633 +INF -1.00E-23 40 . 6498.687 +INF -9.11E-24 41 . 7135.687 +INF -8.30E-24 42 . 7827.386 +INF -7.57E-24 43 . 8577.758 +INF -6.90E-24 44 . 9391.002 +INF -6.31E-24 45 . 10271.553 +INF -5.77E-24 46 . 11224.089 +INF -5.28E-24 47 . 12253.541 +INF -4.83E-24 48 . 13365.100 +INF -4.43E-24 49 . 14564.229 +INF -4.07E-24 50 . 15856.667 +INF -3.73E-24 51 . 17248.440 +INF -3.43E-24 52 . 18745.870 +INF -3.16E-24 53 . 20355.580 +INF -2.91E-24 54 . 22084.509 +INF -2.68E-24 55 . 23939.910 +INF -2.47E-24 56 . 25929.367 +INF -2.28E-24 57 . 28060.797 +INF -2.11E-24 58 . 30342.462 +INF -1.95E-24 59 . 32782.969 +INF -1.81E-24 60 . 35763.354 +INF -1.66E-24 ---- VAR YGROSS Gross world product GROSS of abatement and damages LOWER LEVEL UPPER MARGINAL 1 . 55.667 +INF -1.06E-21 2 . 69.685 +INF -8.50E-22 3 . 85.391 +INF -6.94E-22 4 . 102.688 +INF -5.77E-22 5 . 121.641 +INF -4.87E-22 6 . 142.428 +INF -4.16E-22 7 . 165.301 +INF -3.58E-22 8 . 190.559 +INF -3.11E-22 9 . 218.540 +INF -2.71E-22 10 . 249.611 +INF -2.37E-22 11 . 284.167 +INF -2.08E-22 12 . 322.636 +INF -1.84E-22 13 . 365.489 +INF -1.62E-22 14 . 413.228 +INF -1.43E-22 15 . 466.398 +INF -1.27E-22 16 . 525.584 +INF -1.13E-22 17 . 591.425 +INF -1.00E-22 18 . 664.614 +INF -8.91E-23 19 . 745.908 +INF -7.94E-23 20 . 836.135 +INF -7.08E-23 21 . 936.207 +INF -6.33E-23 22 . 1047.268 +INF -5.66E-23 23 . 1170.898 +INF -5.06E-23 24 . 1308.073 +INF -4.53E-23 25 . 1459.898 +INF -4.06E-23 26 . 1627.606 +INF -3.64E-23 27 . 1812.555 +INF -3.27E-23 28 . 2016.234 +INF -2.94E-23 29 . 2240.259 +INF -2.64E-23 30 . 2486.376 +INF -2.38E-23 31 . 2756.466 +INF -2.15E-23 32 . 3052.546 +INF -1.94E-23 33 . 3376.779 +INF -1.75E-23 34 . 3731.475 +INF -1.59E-23 35 . 4119.102 +INF -1.44E-23 36 . 4542.289 +INF -1.30E-23 37 . 5003.835 +INF -1.18E-23 38 . 5506.719 +INF -1.08E-23 39 . 6054.103 +INF -9.78E-24 40 . 6649.345 +INF -8.91E-24 41 . 7296.004 +INF -8.12E-24 42 . 7997.848 +INF -7.41E-24 43 . 8758.867 +INF -6.76E-24 44 . 9583.275 +INF -6.18E-24 45 . 10475.523 +INF -5.65E-24 46 . 11440.307 +INF -5.18E-24 47 . 12482.576 +INF -4.74E-24 48 . 13607.540 +INF -4.35E-24 49 . 14820.679 +INF -4.00E-24 50 . 16127.754 +INF -3.67E-24 51 . 17534.809 +INF -3.38E-24 52 . 19048.189 +INF -3.11E-24 53 . 20674.539 +INF -2.86E-24 54 . 22420.819 +INF -2.64E-24 55 . 24294.307 +INF -2.44E-24 56 . 26302.610 +INF -2.25E-24 57 . 28453.672 +INF -2.08E-24 58 . 30755.778 +INF -1.93E-24 59 . 33217.566 +INF -1.78E-24 60 . 35848.028 +INF -1.65E-24 ---- VAR YNET Output net of damages equation LOWER LEVEL UPPER MARGINAL 1 -INF 55.583 +INF EPS 2 -INF 69.507 +INF EPS 3 -INF 85.063 +INF EPS 4 -INF 102.139 +INF EPS 5 -INF 120.781 +INF EPS 6 -INF 141.149 +INF EPS 7 -INF 163.474 +INF EPS 8 -INF 188.034 +INF EPS 9 -INF 215.139 +INF EPS 10 -INF 245.132 +INF EPS 11 -INF 278.380 +INF EPS 12 -INF 315.323 +INF EPS 13 -INF 356.409 +INF EPS 14 -INF 402.125 +INF EPS 15 -INF 453.003 +INF EPS 16 -INF 509.638 +INF EPS 17 -INF 572.690 +INF EPS 18 -INF 642.911 +INF EPS 19 -INF 721.160 +INF EPS 20 -INF 808.431 +INF EPS 21 -INF 905.830 +INF EPS 22 -INF 1014.491 +INF EPS 23 -INF 1135.777 +INF EPS 24 -INF 1270.543 +INF EPS 25 -INF 1419.812 +INF EPS 26 -INF 1584.764 +INF EPS 27 -INF 1766.728 +INF EPS 28 -INF 1967.173 +INF EPS 29 -INF 2187.706 +INF EPS 30 -INF 2430.065 +INF EPS 31 -INF 2696.128 +INF EPS 32 -INF 2987.911 +INF EPS 33 -INF 3307.574 +INF EPS 34 -INF 3657.425 +INF EPS 35 -INF 4039.931 +INF EPS 36 -INF 4457.717 +INF EPS 37 -INF 4913.582 +INF EPS 38 -INF 5410.499 +INF EPS 39 -INF 5951.629 +INF EPS 40 -INF 6540.325 +INF EPS 41 -INF 7180.143 +INF EPS 42 -INF 7874.848 +INF EPS 43 -INF 8628.423 +INF EPS 44 -INF 9445.081 +INF EPS 45 -INF 10329.268 +INF EPS 46 -INF 11285.675 +INF EPS 47 -INF 12319.248 +INF EPS 48 -INF 13435.192 +INF EPS 49 -INF 14638.984 +INF EPS 50 -INF 15936.379 +INF EPS 51 -INF 17333.420 +INF EPS 52 -INF 18836.445 +INF EPS 53 -INF 20452.096 +INF EPS 54 -INF 22187.330 +INF EPS 55 -INF 24049.420 +INF EPS 56 -INF 26045.969 +INF EPS 57 -INF 28184.917 +INF EPS 58 -INF 30474.545 +INF EPS 59 -INF 32923.485 +INF EPS 60 -INF 35763.354 +INF EPS ---- VAR DAMAGES Damages LOWER LEVEL UPPER MARGINAL 1 -INF 0.084 +INF EPS 2 -INF 0.178 +INF EPS 3 -INF 0.328 +INF EPS 4 -INF 0.549 +INF EPS 5 -INF 0.860 +INF EPS 6 -INF 1.279 +INF EPS 7 -INF 1.827 +INF EPS 8 -INF 2.526 +INF EPS 9 -INF 3.401 +INF EPS 10 -INF 4.479 +INF EPS 11 -INF 5.787 +INF EPS 12 -INF 7.313 +INF EPS 13 -INF 9.080 +INF EPS 14 -INF 11.104 +INF EPS 15 -INF 13.394 +INF EPS 16 -INF 15.946 +INF EPS 17 -INF 18.734 +INF EPS 18 -INF 21.702 +INF EPS 19 -INF 24.748 +INF EPS 20 -INF 27.704 +INF EPS 21 -INF 30.376 +INF EPS 22 -INF 32.778 +INF EPS 23 -INF 35.120 +INF EPS 24 -INF 37.530 +INF EPS 25 -INF 40.087 +INF EPS 26 -INF 42.842 +INF EPS 27 -INF 45.828 +INF EPS 28 -INF 49.061 +INF EPS 29 -INF 52.554 +INF EPS 30 -INF 56.311 +INF EPS 31 -INF 60.337 +INF EPS 32 -INF 64.635 +INF EPS 33 -INF 69.205 +INF EPS 34 -INF 74.050 +INF EPS 35 -INF 79.171 +INF EPS 36 -INF 84.572 +INF EPS 37 -INF 90.253 +INF EPS 38 -INF 96.220 +INF EPS 39 -INF 102.474 +INF EPS 40 -INF 109.020 +INF EPS 41 -INF 115.861 +INF EPS 42 -INF 123.000 +INF EPS 43 -INF 130.443 +INF EPS 44 -INF 138.194 +INF EPS 45 -INF 146.255 +INF EPS 46 -INF 154.632 +INF EPS 47 -INF 163.328 +INF EPS 48 -INF 172.348 +INF EPS 49 -INF 181.696 +INF EPS 50 -INF 191.375 +INF EPS 51 -INF 201.390 +INF EPS 52 -INF 211.744 +INF EPS 53 -INF 222.443 +INF EPS 54 -INF 233.489 +INF EPS 55 -INF 244.887 +INF EPS 56 -INF 256.641 +INF EPS 57 -INF 268.755 +INF EPS 58 -INF 281.233 +INF EPS 59 -INF 294.080 +INF EPS 60 -INF 84.674 +INF EPS ---- VAR ABATECOST Cost of emissions reductions LOWER LEVEL UPPER MARGINAL 1 -INF 1.3292E-5 +INF EPS 2 -INF 0.020 +INF EPS 3 -INF 0.035 +INF EPS 4 -INF 0.057 +INF EPS 5 -INF 0.088 +INF EPS 6 -INF 0.133 +INF EPS 7 -INF 0.195 +INF EPS 8 -INF 0.279 +INF EPS 9 -INF 0.393 +INF EPS 10 -INF 0.545 +INF EPS 11 -INF 0.747 +INF EPS 12 -INF 1.014 +INF EPS 13 -INF 1.367 +INF EPS 14 -INF 1.833 +INF EPS 15 -INF 2.448 +INF EPS 16 -INF 3.258 +INF EPS 17 -INF 4.326 +INF EPS 18 -INF 5.735 +INF EPS 19 -INF 7.588 +INF EPS 20 -INF 10.018 +INF EPS 21 -INF 12.532 +INF EPS 22 -INF 13.317 +INF EPS 23 -INF 14.166 +INF EPS 24 -INF 15.081 +INF EPS 25 -INF 16.063 +INF EPS 26 -INF 17.116 +INF EPS 27 -INF 18.243 +INF EPS 28 -INF 19.450 +INF EPS 29 -INF 20.740 +INF EPS 30 -INF 22.120 +INF EPS 31 -INF 23.595 +INF EPS 32 -INF 25.172 +INF EPS 33 -INF 26.858 +INF EPS 34 -INF 28.658 +INF EPS 35 -INF 30.582 +INF EPS 36 -INF 32.636 +INF EPS 37 -INF 34.829 +INF EPS 38 -INF 37.170 +INF EPS 39 -INF 39.668 +INF EPS 40 -INF 42.332 +INF EPS 41 -INF 45.174 +INF EPS 42 -INF 48.203 +INF EPS 43 -INF 51.431 +INF EPS 44 -INF 54.870 +INF EPS 45 -INF 58.532 +INF EPS 46 -INF 62.430 +INF EPS 47 -INF 66.578 +INF EPS 48 -INF 70.991 +INF EPS 49 -INF 75.683 +INF EPS 50 -INF 80.669 +INF EPS 51 -INF 85.967 +INF EPS 52 -INF 91.593 +INF EPS 53 -INF 97.566 +INF EPS 54 -INF 103.903 +INF EPS 55 -INF 110.625 +INF EPS 56 -INF 117.751 +INF EPS 57 -INF 125.303 +INF EPS 58 -INF 133.302 +INF EPS 59 -INF 141.771 +INF EPS 60 -INF -8.33E-10 +INF EPS ---- VAR CCA Cumulative industrial carbon emissions GTC LOWER LEVEL UPPER MARGINAL 1 . . 6000.000 -5.92E-10 2 . 85.320 6000.000 -6.84E-22 3 . 168.708 6000.000 -3.41E-22 4 . 259.321 6000.000 -2.18E-22 5 . 356.343 6000.000 -1.56E-22 6 . 458.921 6000.000 -1.18E-22 7 . 566.235 6000.000 -9.37E-23 8 . 677.495 6000.000 -7.63E-23 9 . 791.920 6000.000 -6.34E-23 10 . 908.696 6000.000 -5.35E-23 11 . 1026.936 6000.000 -4.58E-23 12 . 1145.638 6000.000 -3.95E-23 13 . 1263.613 6000.000 -3.44E-23 14 . 1379.423 6000.000 -3.01E-23 15 . 1491.321 6000.000 -2.66E-23 16 . 1597.177 6000.000 -2.36E-23 17 . 1694.408 6000.000 -2.12E-23 18 . 1779.882 6000.000 -1.92E-23 19 . 1849.826 6000.000 -1.77E-23 20 . 1899.736 6000.000 -1.67E-23 21 . 1924.363 6000.000 -1.62E-23 22 . 1925.700 6000.000 -1.62E-23 23 . 1926.904 6000.000 -1.62E-23 24 . 1927.987 6000.000 -1.62E-23 25 . 1928.962 6000.000 -1.62E-23 26 . 1929.839 6000.000 -1.61E-23 27 . 1930.629 6000.000 -1.61E-23 28 . 1931.340 6000.000 -1.61E-23 29 . 1931.979 6000.000 -1.61E-23 30 . 1932.555 6000.000 -1.61E-23 31 . 1933.073 6000.000 -1.61E-23 32 . 1933.539 6000.000 -1.61E-23 33 . 1933.959 6000.000 -1.61E-23 34 . 1934.337 6000.000 -1.61E-23 35 . 1934.677 6000.000 -1.60E-23 36 . 1934.983 6000.000 -1.60E-23 37 . 1935.258 6000.000 -1.60E-23 38 . 1935.506 6000.000 -1.60E-23 39 . 1935.729 6000.000 -1.60E-23 40 . 1935.930 6000.000 -1.60E-23 41 . 1936.110 6000.000 -1.60E-23 42 . 1936.273 6000.000 -1.60E-23 43 . 1936.419 6000.000 -1.60E-23 44 . 1936.551 6000.000 -1.60E-23 45 . 1936.669 6000.000 -1.60E-23 46 . 1936.776 6000.000 -1.60E-23 47 . 1936.872 6000.000 -1.60E-23 48 . 1936.959 6000.000 -1.60E-23 49 . 1937.036 6000.000 -1.60E-23 50 . 1937.106 6000.000 -1.60E-23 51 . 1937.169 6000.000 -1.60E-23 52 . 1937.226 6000.000 -1.60E-23 53 . 1937.277 6000.000 -1.60E-23 54 . 1937.323 6000.000 -1.60E-23 55 . 1937.364 6000.000 -1.60E-23 56 . 1937.401 6000.000 -1.60E-23 57 . 1937.435 6000.000 -1.60E-23 58 . 1937.465 6000.000 -1.60E-23 59 . 1937.492 6000.000 -1.60E-23 60 . 1937.517 6000.000 -1.60E-23 ---- VAR PERIODU One period utility function LOWER LEVEL UPPER MARGINAL 1 -INF -149.250 +INF EPS 2 -INF -130.552 +INF EPS 3 -INF -113.051 +INF EPS 4 -INF -97.840 +INF EPS 5 -INF -84.889 +INF EPS 6 -INF -73.891 +INF EPS 7 -INF -64.520 +INF EPS 8 -INF -56.494 +INF EPS 9 -INF -49.584 +INF EPS 10 -INF -43.608 +INF EPS 11 -INF -38.420 +INF EPS 12 -INF -33.895 +INF EPS 13 -INF -29.939 +INF EPS 14 -INF -26.470 +INF EPS 15 -INF -23.423 +INF EPS 16 -INF -20.742 +INF EPS 17 -INF -18.377 +INF EPS 18 -INF -16.288 +INF EPS 19 -INF -14.439 +INF EPS 20 -INF -12.799 +INF EPS 21 -INF -11.334 +INF EPS 22 -INF -10.006 +INF EPS 23 -INF -8.825 +INF EPS 24 -INF -7.778 +INF EPS 25 -INF -6.852 +INF EPS 26 -INF -6.031 +INF EPS 27 -INF -5.304 +INF EPS 28 -INF -4.659 +INF EPS 29 -INF -4.087 +INF EPS 30 -INF -3.578 +INF EPS 31 -INF -3.125 +INF EPS 32 -INF -2.721 +INF EPS 33 -INF -2.360 +INF EPS 34 -INF -2.038 +INF EPS 35 -INF -1.750 +INF EPS 36 -INF -1.491 +INF EPS 37 -INF -1.260 +INF EPS 38 -INF -1.052 +INF EPS 39 -INF -0.865 +INF EPS 40 -INF -0.697 +INF EPS 41 -INF -0.545 +INF EPS 42 -INF -0.409 +INF EPS 43 -INF -0.285 +INF EPS 44 -INF -0.174 +INF EPS 45 -INF -0.073 +INF EPS 46 -INF 0.018 +INF EPS 47 -INF 0.100 +INF EPS 48 -INF 0.175 +INF EPS 49 -INF 0.243 +INF EPS 50 -INF 0.305 +INF EPS 51 -INF 0.361 +INF EPS 52 -INF 0.412 +INF EPS 53 -INF 0.458 +INF EPS 54 -INF 0.501 +INF EPS 55 -INF 0.539 +INF EPS 56 -INF 0.575 +INF EPS 57 -INF 0.607 +INF EPS 58 -INF 0.637 +INF EPS 59 -INF 0.664 +INF EPS 60 -INF 0.692 +INF EPS LOWER LEVEL UPPER MARGINAL ---- VAR UTILITY -INF 1.5016E+5 +INF . **** REPORT SUMMARY : 0 NONOPT 0 INFEASIBLE 0 UNBOUNDED 0 ERRORS GAMS Rev 237 LEX-LEG 23.7.1 x86_64/Linux 09/14/11 00:07:33 Page 8 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Model Statistics SOLVE CO2 Using NLP From line 309 MODEL STATISTICS BLOCKS OF EQUATIONS 30 SINGLE EQUATIONS 1,263 BLOCKS OF VARIABLES 24 SINGLE VARIABLES 1,381 NON ZERO ELEMENTS 3,767 NON LINEAR N-Z 1,080 DERIVATIVE POOL 6 CONSTANT POOL 327 CODE LENGTH 5,643 GENERATION TIME = 0.003 SECONDS 3 Mb LEX237-237 Jul 7, 2011 EXECUTION TIME = 0.009 SECONDS 3 Mb LEX237-237 Jul 7, 2011 GAMS Rev 237 LEX-LEG 23.7.1 x86_64/Linux 09/14/11 00:07:33 Page 9 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Solution Report SOLVE CO2 Using NLP From line 309 S O L V E S U M M A R Y MODEL CO2 OBJECTIVE UTILITY TYPE NLP DIRECTION MAXIMIZE SOLVER COINIPOPT FROM LINE 309 **** SOLVER STATUS 1 Normal Completion **** MODEL STATUS 2 Locally Optimal **** OBJECTIVE VALUE 150164.5594 RESOURCE USAGE, LIMIT 0.648 99999.000 ITERATION COUNT, LIMIT 57 99900 EVALUATION ERRORS 0 0 COIN-OR Ipopt Jul 14, 2011 23.7.1 LEX 26788.26792 LEG x86_64/Linux ---- EQU CCTFIRST First period cumulative carbon LOWER LEVEL UPPER MARGINAL 1 . . . 5.922E-10 ---- EQU CCACCA Cumulative carbon emissions LOWER LEVEL UPPER MARGINAL 2 . . . 2.721E-21 3 . . . 2.037E-21 4 . . . 1.696E-21 5 . . . 1.478E-21 6 . . . 1.322E-21 7 . . . 1.204E-21 8 . . . 1.110E-21 9 . . . 1.034E-21 10 . . . 9.703E-22 11 . . . 9.168E-22 12 . . . 8.710E-22 13 . . . 8.315E-22 14 . . . 7.972E-22 15 . . . 7.671E-22 16 . . . 7.405E-22 17 . . . 7.169E-22 18 . . . 6.957E-22 19 . . . 6.764E-22 20 . . . 6.587E-22 21 . . . 6.419E-22 22 . . . 6.257E-22 23 . . . 6.095E-22 24 . . . 5.933E-22 25 . . . 5.771E-22 26 . . . 5.610E-22 27 . . . 5.448E-22 28 . . . 5.287E-22 29 . . . 5.126E-22 30 . . . 4.965E-22 31 . . . 4.804E-22 32 . . . 4.643E-22 33 . . . 4.483E-22 34 . . . 4.322E-22 35 . . . 4.162E-22 36 . . . 4.001E-22 37 . . . 3.841E-22 38 . . . 3.680E-22 39 . . . 3.520E-22 40 . . . 3.360E-22 41 . . . 3.200E-22 42 . . . 3.040E-22 43 . . . 2.879E-22 44 . . . 2.719E-22 45 . . . 2.559E-22 46 . . . 2.399E-22 47 . . . 2.239E-22 48 . . . 2.079E-22 49 . . . 1.919E-22 50 . . . 1.759E-22 51 . . . 1.599E-22 52 . . . 1.439E-22 53 . . . 1.279E-22 54 . . . 1.119E-22 55 . . . 9.594E-23 56 . . . 7.995E-23 57 . . . 6.396E-23 58 . . . 4.797E-23 59 . . . 3.198E-23 60 . . . 1.599E-23 LOWER LEVEL UPPER MARGINAL ---- EQU UTIL 3.8180E+5 3.8180E+5 3.8180E+5 1.000 UTIL Objective function ---- EQU YY Output net equation LOWER LEVEL UPPER MARGINAL 1 . . . 1171.331 2 . . . 765.926 3 . . . 493.212 4 . . . 318.074 5 . . . 206.510 6 . . . 135.112 7 . . . 89.038 8 . . . 59.050 9 . . . 39.380 10 . . . 26.388 11 . . . 17.758 12 . . . 11.993 13 . . . 8.126 14 . . . 5.522 15 . . . 3.763 16 . . . 2.571 17 . . . 1.761 18 . . . 1.208 19 . . . 0.831 20 . . . 0.572 21 . . . 0.394 22 . . . 0.270 23 . . . 0.186 24 . . . 0.128 25 . . . 0.088 26 . . . 0.061 27 . . . 0.042 28 . . . 0.029 29 . . . 0.020 30 . . . 0.014 31 . . . 0.010 32 . . . 0.007 33 . . . 0.005 34 . . . 0.003 35 . . . 0.002 36 . . . 0.002 37 . . . 0.001 38 . -1.023E-8 . 8.7205E-4 39 . -1.092E-8 . 6.2094E-4 40 . -1.166E-8 . 4.4304E-4 41 . -1.245E-8 . 3.1674E-4 42 . -1.329E-8 . 2.2689E-4 43 . -1.419E-8 . 1.6285E-4 44 . -1.514E-8 . 1.1710E-4 45 . -1.616E-8 . 8.4372E-5 46 . -1.724E-8 . 6.0903E-5 47 . -1.840E-8 . 4.4044E-5 48 . -1.963E-8 . 3.1911E-5 49 . -2.093E-8 . 2.3162E-5 50 . -2.232E-8 . 1.6842E-5 51 . -2.380E-8 . 1.2267E-5 52 . -2.536E-8 . 8.9506E-6 53 . -2.703E-8 . 6.5408E-6 54 . -2.879E-8 . 4.7861E-6 55 . -3.066E-8 . 3.5047E-6 56 . -3.265E-8 . 2.5646E-6 57 . -3.475E-8 . 1.8693E-6 58 . -3.699E-8 . 1.3461E-6 59 . -3.935E-8 . 9.3789E-7 60 . . . 5.8514E-7 ---- EQU YNETEQ Output net of damages equation LOWER LEVEL UPPER MARGINAL 1 . . . EPS 2 . . . EPS 3 . . . EPS 4 . . . EPS 5 . . . EPS 6 . . . EPS 7 . . . EPS 8 . . . EPS 9 . . . EPS 10 . . . EPS 11 . . . EPS 12 . . . EPS 13 . . . EPS 14 . . . EPS 15 . . . EPS 16 . . . EPS 17 . . . EPS 18 . . . EPS 19 . . . EPS 20 . . . EPS 21 . . . EPS 22 . . . EPS 23 . . . EPS 24 . . . EPS 25 . . . EPS 26 . . . EPS 27 . . . EPS 28 . . . EPS 29 . . . EPS 30 . . . EPS 31 . . . EPS 32 . . . EPS 33 . . . EPS 34 . . . EPS 35 . . . EPS 36 . . . EPS 37 . . . EPS 38 . . . EPS 39 . . . EPS 40 . . . EPS 41 . . . EPS 42 . . . EPS 43 . . . EPS 44 . . . EPS 45 . . . EPS 46 . . . EPS 47 . . . EPS 48 . . . EPS 49 . . . EPS 50 . . . EPS 51 . . . EPS 52 . . . EPS 53 . . . EPS 54 . . . EPS 55 . . . EPS 56 . . . EPS 57 . . . EPS 58 . . . EPS 59 . . . EPS 60 . . . EPS ---- EQU YGROSSEQ Output gross equation LOWER LEVEL UPPER MARGINAL 1 . . . 1169.558 2 . . . 763.742 3 . . . 491.118 4 . . . 316.199 5 . . . 204.902 6 . . . 133.773 7 . . . 87.950 8 . . . 58.182 9 . . . 38.697 10 . . . 25.858 11 . . . 17.351 12 . . . 11.684 13 . . . 7.894 14 . . . 5.350 15 . . . 3.636 16 . . . 2.477 17 . . . 1.692 18 . . . 1.159 19 . . . 0.795 20 . . . 0.546 21 . . . 0.376 22 . . . 0.258 23 . . . 0.178 24 . . . 0.123 25 . . . 0.085 26 . . . 0.059 27 . . . 0.041 28 . . . 0.028 29 . . . 0.020 30 . . . 0.014 31 . . . 0.010 32 . . . 0.007 33 . . . 0.005 34 . . . 0.003 35 . . . 0.002 36 . . . 0.002 37 . . . 0.001 38 . . . 8.5103E-4 39 . . . 6.0643E-4 40 . . . 4.3300E-4 41 . . . 3.0978E-4 42 . . . 2.2205E-4 43 . . . 1.5948E-4 44 . . . 1.1476E-4 45 . . . 8.2730E-5 46 . . . 5.9752E-5 47 . . . 4.3236E-5 48 . . . 3.1342E-5 49 . . . 2.2761E-5 50 . . . 1.6558E-5 51 . . . 1.2067E-5 52 . . . 8.8085E-6 53 . . . 6.4399E-6 54 . . . 4.7143E-6 55 . . . 3.4535E-6 56 . . . 2.5282E-6 57 . . . 1.8435E-6 58 . . . 1.3280E-6 59 . . . 9.2562E-7 60 . . . 5.8376E-7 ---- EQU DAMEQ Damage equation LOWER LEVEL UPPER MARGINAL 1 . . . EPS 2 . . . EPS 3 . . . EPS 4 . . . EPS 5 . . . EPS 6 . . . EPS 7 . . . EPS 8 . . . EPS 9 . . . EPS 10 . . . EPS 11 . . . EPS 12 . . . EPS 13 . . . EPS 14 . . . EPS 15 . . . EPS 16 . . . EPS 17 . . . EPS 18 . . . EPS 19 . . . EPS 20 . . . EPS 21 . . . EPS 22 . . . EPS 23 . . . EPS 24 . . . EPS 25 . . . EPS 26 . . . EPS 27 . . . EPS 28 . . . EPS 29 . . . EPS 30 . . . EPS 31 . . . EPS 32 . . . EPS 33 . . . EPS 34 . . . EPS 35 . . . EPS 36 . . . EPS 37 . . . EPS 38 . . . EPS 39 . . . EPS 40 . . . EPS 41 . . . EPS 42 . . . EPS 43 . . . EPS 44 . . . EPS 45 . . . EPS 46 . . . EPS 47 . . . EPS 48 . . . EPS 49 . . . EPS 50 . . . EPS 51 . . . EPS 52 . . . EPS 53 . . . EPS 54 . . . EPS 55 . . . EPS 56 . . . EPS 57 . . . EPS 58 . . . EPS 59 . . . EPS 60 . . . EPS ---- EQU ABATEEQ Cost of emissions reductions equation LOWER LEVEL UPPER MARGINAL 1 . . . EPS 2 . . . EPS 3 . . . EPS 4 . . . EPS 5 . . . EPS 6 . . . EPS 7 . . . EPS 8 . . . EPS 9 . . . EPS 10 . . . EPS 11 . . . EPS 12 . . . EPS 13 . . . EPS 14 . . . EPS 15 . . . EPS 16 . . . EPS 17 . . . EPS 18 . . . EPS 19 . . . EPS 20 . . . EPS 21 . . . EPS 22 . . . EPS 23 . . . EPS 24 . . . EPS 25 . . . EPS 26 . . . EPS 27 . . . EPS 28 . . . EPS 29 . . . EPS 30 . . . EPS 31 . . . EPS 32 . . . EPS 33 . . . EPS 34 . . . EPS 35 . . . EPS 36 . . . EPS 37 . . . EPS 38 . 1.0408E-8 . EPS 39 . 1.1107E-8 . EPS 40 . 1.1853E-8 . EPS 41 . 1.2649E-8 . EPS 42 . 1.3497E-8 . EPS 43 . 1.4401E-8 . EPS 44 . 1.5364E-8 . EPS 45 . 1.6389E-8 . EPS 46 . 1.7480E-8 . EPS 47 . 1.8642E-8 . EPS 48 . 1.9877E-8 . EPS 49 . 2.1191E-8 . EPS 50 . 2.2587E-8 . EPS 51 . 2.4071E-8 . EPS 52 . 2.5646E-8 . EPS 53 . 2.7318E-8 . EPS 54 . 2.9093E-8 . EPS 55 . 3.0975E-8 . EPS 56 . 3.2970E-8 . EPS 57 . 3.5085E-8 . EPS 58 . 3.7325E-8 . EPS 59 . 3.9696E-8 . EPS 60 . . . EPS ---- EQU CC Consumption equation LOWER LEVEL UPPER MARGINAL 1 . . . 1163.668 2 . . . 768.654 3 . . . 497.827 4 . . . 322.167 5 . . . 209.618 6 . . . 137.327 7 . . . 90.569 8 . . . 60.092 9 . . . 40.081 10 . . . 26.859 11 . . . 18.073 12 . . . 12.203 13 . . . 8.266 14 . . . 5.615 15 . . . 3.824 16 . . . 2.611 17 . . . 1.787 18 . . . 1.226 19 . . . 0.842 20 . . . 0.580 21 . . . 0.399 22 . . . 0.274 23 . . . 0.188 24 . . . 0.129 25 . . . 0.089 26 . . . 0.062 27 . . . 0.043 28 . . . 0.030 29 . . . 0.021 30 . . . 0.014 31 . . . 0.010 32 . . . 0.007 33 . . . 0.005 34 . . . 0.003 35 . . . 0.002 36 . . . 0.002 37 . . . 0.001 38 . . . 8.7898E-4 39 . . . 6.2567E-4 40 . . . 4.4627E-4 41 . . . 3.1895E-4 42 . . . 2.2840E-4 43 . . . 1.6388E-4 44 . . . 1.1781E-4 45 . . . 8.4855E-5 46 . . . 6.1233E-5 47 . . . 4.4269E-5 48 . . . 3.2064E-5 49 . . . 2.3266E-5 50 . . . 1.6913E-5 51 . . . 1.2316E-5 52 . . . 8.9849E-6 53 . . . 6.5659E-6 54 . . . 4.8065E-6 55 . . . 3.5245E-6 56 . . . 2.5888E-6 57 . . . 1.9047E-6 58 . . . 1.4037E-6 59 . . . 1.0361E-6 60 . . . 7.5018E-7 ---- EQU KK Capital balance equation LOWER LEVEL UPPER MARGINAL 1 -INF . . 119.850 2 -INF . . 75.625 3 -INF . . 47.685 4 -INF . . 30.356 5 -INF . . 19.549 6 -INF . . 12.726 7 -INF . . 8.361 8 -INF . . 5.536 9 -INF . . 3.689 10 -INF . . 2.472 11 -INF . . 1.664 12 -INF . . 1.125 13 -INF . . 0.763 14 -INF . . 0.519 15 -INF . . 0.355 16 -INF . . 0.243 17 -INF . . 0.167 18 -INF . . 0.115 19 -INF . . 0.079 20 -INF . . 0.054 21 -INF . . 0.037 22 -INF . . 0.026 23 -INF . . 0.018 24 -INF . . 0.012 25 -INF . . 0.008 26 -INF . . 0.006 27 -INF . . 0.004 28 -INF . . 0.003 29 -INF . . 0.002 30 -INF . . 0.001 31 -INF . . 9.6039E-4 32 -INF . . 6.7451E-4 33 -INF . . 4.7479E-4 34 -INF . . 3.3495E-4 35 -INF . . 2.3681E-4 36 -INF . . 1.6778E-4 37 -INF . . 1.1912E-4 38 -INF . . 8.4748E-5 39 -INF . . 6.0417E-5 40 -INF . . 4.3158E-5 41 -INF . . 3.0891E-5 42 -INF . . 2.2154E-5 43 -INF . . 1.5919E-5 44 -INF . . 1.1460E-5 45 -INF . . 8.2663E-6 46 -INF . . 5.9735E-6 47 -INF . . 4.3247E-6 48 -INF . . 3.1367E-6 49 -INF . . 2.2791E-6 50 -INF . . 1.6588E-6 51 -INF . . 1.2093E-6 52 -INF . . 8.8288E-7 53 -INF . . 6.4517E-7 54 -INF . . 4.7138E-7 55 -INF . . 3.4343E-7 56 -INF . . 2.4789E-7 57 -INF . . 1.7438E-7 58 -INF . . 1.1420E-7 59 -INF . . 5.8965E-8 60 -INF -1.158E+5 . -8.08E-26 ---- EQU KK0 Initial condition for capital LOWER LEVEL UPPER MARGINAL 1 137.000 137.000 137.000 183.833 ---- EQU KC Terminal condition for capital LOWER LEVEL UPPER MARGINAL 60 -INF -5738.559 . 9.728E-24 ---- EQU CPCE Per capita consumption definition LOWER LEVEL UPPER MARGINAL 1 . . . EPS 2 . . . EPS 3 . . . EPS 4 . . . EPS 5 . . . EPS 6 . . . EPS 7 . . . EPS 8 . . . EPS 9 . . . EPS 10 . . . EPS 11 . . . EPS 12 . . . EPS 13 . . . EPS 14 . . . EPS 15 . . . EPS 16 . . . EPS 17 . . . EPS 18 . . . EPS 19 . . . EPS 20 . . . EPS 21 . . . EPS 22 . . . EPS 23 . . . EPS 24 . . . EPS 25 . . . EPS 26 . . . EPS 27 . . . EPS 28 . . . EPS 29 . . . EPS 30 . . . EPS 31 . . . EPS 32 . . . EPS 33 . . . EPS 34 . . . EPS 35 . . . EPS 36 . . . EPS 37 . . . EPS 38 . . . EPS 39 . . . EPS 40 . . . EPS 41 . . . EPS 42 . . . EPS 43 . . . EPS 44 . . . EPS 45 . . . EPS 46 . . . EPS 47 . . . EPS 48 . . . EPS 49 . . . EPS 50 . . . EPS 51 . . . EPS 52 . . . EPS 53 . . . EPS 54 . . . EPS 55 . . . EPS 56 . . . EPS 57 . . . EPS 58 . . . EPS 59 . . . EPS 60 . . . EPS ---- EQU PCYE Per capita income definition LOWER LEVEL UPPER MARGINAL 1 . . . EPS 2 . . . EPS 3 . . . EPS 4 . . . EPS 5 . . . EPS 6 . . . EPS 7 . . . EPS 8 . . . EPS 9 . . . EPS 10 . . . EPS 11 . . . EPS 12 . . . EPS 13 . . . EPS 14 . . . EPS 15 . . . EPS 16 . . . EPS 17 . . . EPS 18 . . . EPS 19 . . . EPS 20 . . . EPS 21 . . . EPS 22 . . . EPS 23 . . . EPS 24 . . . EPS 25 . . . EPS 26 . . . EPS 27 . . . EPS 28 . . . EPS 29 . . . EPS 30 . . . EPS 31 . . . EPS 32 . . . EPS 33 . . . EPS 34 . . . EPS 35 . . . EPS 36 . . . EPS 37 . . . EPS 38 . . . EPS 39 . . . EPS 40 . . . EPS 41 . . . EPS 42 . . . EPS 43 . . . EPS 44 . . . EPS 45 . . . EPS 46 . . . EPS 47 . . . EPS 48 . . . EPS 49 . . . EPS 50 . . . EPS 51 . . . EPS 52 . . . EPS 53 . . . EPS 54 . . . EPS 55 . . . EPS 56 . . . EPS 57 . . . EPS 58 . . . EPS 59 . . . EPS 60 . . . EPS ---- EQU EE Emissions equation LOWER LEVEL UPPER MARGINAL 1 11.000 11.000 11.000 -3.215 2 9.900 9.900 9.900 -3.163 3 8.910 8.910 8.910 -2.598 4 8.019 8.019 8.019 -2.100 5 7.217 7.217 7.217 -1.679 6 6.495 6.495 6.495 -1.330 7 5.846 5.846 5.846 -1.048 8 5.261 5.261 5.261 -0.821 9 4.735 4.735 4.735 -0.641 10 4.262 4.262 4.262 -0.499 11 3.835 3.835 3.835 -0.388 12 3.452 3.452 3.452 -0.301 13 3.107 3.107 3.107 -0.233 14 2.796 2.796 2.796 -0.181 15 2.516 2.516 2.516 -0.141 16 2.265 2.265 2.265 -0.109 17 2.038 2.038 2.038 -0.085 18 1.834 1.834 1.834 -0.066 19 1.651 1.651 1.651 -0.052 20 1.486 1.486 1.486 -0.040 21 1.337 1.337 1.337 -0.031 22 1.204 1.204 1.204 -0.024 23 1.083 1.083 1.083 -0.019 24 0.975 0.975 0.975 -0.015 25 0.877 0.877 0.877 -0.011 26 0.790 0.790 0.790 -0.009 27 0.711 0.711 0.711 -0.007 28 0.640 0.640 0.640 -0.005 29 0.576 0.576 0.576 -0.004 30 0.518 0.518 0.518 -0.003 31 0.466 0.466 0.466 -0.002 32 0.420 0.420 0.420 -0.002 33 0.378 0.378 0.378 -0.002 34 0.340 0.340 0.340 -0.001 35 0.306 0.306 0.306 -9.202E-4 36 0.275 0.275 0.275 -7.183E-4 37 0.248 0.248 0.248 -5.610E-4 38 0.223 0.223 0.223 -4.384E-4 39 0.201 0.201 0.201 -3.427E-4 40 0.181 0.181 0.181 -2.680E-4 41 0.163 0.163 0.163 -2.097E-4 42 0.146 0.146 0.146 -1.641E-4 43 0.132 0.132 0.132 -1.284E-4 44 0.119 0.119 0.119 -1.004E-4 45 0.107 0.107 0.107 -7.851E-5 46 0.096 0.096 0.096 -6.133E-5 47 0.086 0.086 0.086 -4.784E-5 48 0.078 0.078 0.078 -3.724E-5 49 0.070 0.070 0.070 -2.890E-5 50 0.063 0.063 0.063 -2.232E-5 51 0.057 0.057 0.057 -1.713E-5 52 0.051 0.051 0.051 -1.302E-5 53 0.046 0.046 0.046 -9.751E-6 54 0.041 0.041 0.041 -7.148E-6 55 0.037 0.037 0.037 -5.071E-6 56 0.033 0.033 0.033 -3.415E-6 57 0.030 0.030 0.030 -2.110E-6 58 0.027 0.027 0.027 -1.119E-6 59 0.024 0.024 0.024 -4.387E-7 60 0.022 0.022 0.022 8.045E-24 ---- EQU SEQ Savings rate equation LOWER LEVEL UPPER MARGINAL 1 . . . -1936.027 2 . . . 861.920 3 . . . 1783.439 4 . . . 1899.055 5 . . . 1704.734 6 . . . 1419.982 7 . . . 1136.676 8 . . . 888.848 9 . . . 684.995 10 . . . 523.046 11 . . . 397.279 12 . . . 300.017 13 . . . 225.496 14 . . . 168.762 15 . . . 125.768 16 . . . 93.321 17 . . . 68.964 18 . . . 50.866 19 . . . 37.741 20 . . . 28.808 21 . . . 22.719 22 . . . 17.073 23 . . . 12.776 24 . . . 9.544 25 . . . 7.127 26 . . . 5.325 27 . . . 3.981 28 . . . 2.980 29 . . . 2.232 30 . . . 1.673 31 . . . 1.255 32 . . . 0.942 33 . . . 0.707 34 . . . 0.531 35 . . . 0.399 36 . . . 0.300 37 . . . 0.225 38 . . . 0.169 39 . . . 0.127 40 . . . 0.095 41 . . . 0.072 42 . . . 0.054 43 . . . 0.040 44 . . . 0.030 45 . . . 0.023 46 . . . 0.017 47 . . . 0.013 48 . . . 0.009 49 . . . 0.007 50 . . . 0.005 51 . . . 0.004 52 . . . 0.003 53 . . . 0.002 54 . . . 0.002 55 . . . 0.002 56 . . . 0.003 57 . . . 0.005 58 . . . 0.008 59 . . . 0.015 60 . . . 0.027 ---- EQU RIEQ Interest rate equation LOWER LEVEL UPPER MARGINAL 1 -0.065 -0.065 -0.065 EPS 2 -0.065 -0.065 -0.065 EPS 3 -0.065 -0.065 -0.065 EPS 4 -0.065 -0.065 -0.065 EPS 5 -0.065 -0.065 -0.065 EPS 6 -0.065 -0.065 -0.065 EPS 7 -0.065 -0.065 -0.065 EPS 8 -0.065 -0.065 -0.065 EPS 9 -0.065 -0.065 -0.065 EPS 10 -0.065 -0.065 -0.065 EPS 11 -0.065 -0.065 -0.065 EPS 12 -0.065 -0.065 -0.065 EPS 13 -0.065 -0.065 -0.065 EPS 14 -0.065 -0.065 -0.065 EPS 15 -0.065 -0.065 -0.065 EPS 16 -0.065 -0.065 -0.065 EPS 17 -0.065 -0.065 -0.065 EPS 18 -0.065 -0.065 -0.065 EPS 19 -0.065 -0.065 -0.065 EPS 20 -0.065 -0.065 -0.065 EPS 21 -0.065 -0.065 -0.065 EPS 22 -0.065 -0.065 -0.065 EPS 23 -0.065 -0.065 -0.065 EPS 24 -0.065 -0.065 -0.065 EPS 25 -0.065 -0.065 -0.065 EPS 26 -0.065 -0.065 -0.065 EPS 27 -0.065 -0.065 -0.065 EPS 28 -0.065 -0.065 -0.065 EPS 29 -0.065 -0.065 -0.065 EPS 30 -0.065 -0.065 -0.065 EPS 31 -0.065 -0.065 -0.065 EPS 32 -0.065 -0.065 -0.065 EPS 33 -0.065 -0.065 -0.065 EPS 34 -0.065 -0.065 -0.065 EPS 35 -0.065 -0.065 -0.065 EPS 36 -0.065 -0.065 -0.065 EPS 37 -0.065 -0.065 -0.065 EPS 38 -0.065 -0.065 -0.065 EPS 39 -0.065 -0.065 -0.065 EPS 40 -0.065 -0.065 -0.065 EPS 41 -0.065 -0.065 -0.065 EPS 42 -0.065 -0.065 -0.065 EPS 43 -0.065 -0.065 -0.065 EPS 44 -0.065 -0.065 -0.065 EPS 45 -0.065 -0.065 -0.065 EPS 46 -0.065 -0.065 -0.065 EPS 47 -0.065 -0.065 -0.065 EPS 48 -0.065 -0.065 -0.065 EPS 49 -0.065 -0.065 -0.065 EPS 50 -0.065 -0.065 -0.065 EPS 51 -0.065 -0.065 -0.065 EPS 52 -0.065 -0.065 -0.065 EPS 53 -0.065 -0.065 -0.065 EPS 54 -0.065 -0.065 -0.065 EPS 55 -0.065 -0.065 -0.065 EPS 56 -0.065 -0.065 -0.065 EPS 57 -0.065 -0.065 -0.065 EPS 58 -0.065 -0.065 -0.065 EPS 59 -0.065 -0.065 -0.065 EPS 60 -0.065 -0.065 -0.065 EPS ---- EQU FORCE Radiative forcing equation LOWER LEVEL UPPER MARGINAL 1 -0.060 -0.060 -0.060 EPS 2 -0.024 -0.024 -0.024 -162.038 3 0.012 0.012 0.012 -147.992 4 0.048 0.048 0.048 -130.476 5 0.084 0.084 0.084 -112.270 6 0.120 0.120 0.120 -94.906 7 0.156 0.156 0.156 -79.147 8 0.192 0.192 0.192 -65.299 9 0.228 0.228 0.228 -53.398 10 0.264 0.264 0.264 -43.336 11 0.300 0.300 0.300 -34.924 12 0.300 0.300 0.300 -27.947 13 0.300 0.300 0.300 -22.234 14 0.300 0.300 0.300 -17.599 15 0.300 0.300 0.300 -13.864 16 0.300 0.300 0.300 -10.868 17 0.300 0.300 0.300 -8.474 18 0.300 0.300 0.300 -6.569 19 0.300 0.300 0.300 -5.057 20 0.300 0.300 0.300 -3.865 21 0.300 0.300 0.300 -2.932 22 0.300 0.300 0.300 -2.215 23 0.300 0.300 0.300 -1.671 24 0.300 0.300 0.300 -1.262 25 0.300 0.300 0.300 -0.954 26 0.300 0.300 0.300 -0.723 27 0.300 0.300 0.300 -0.549 28 0.300 0.300 0.300 -0.418 29 0.300 0.300 0.300 -0.319 30 0.300 0.300 0.300 -0.244 31 0.300 0.300 0.300 -0.186 32 0.300 0.300 0.300 -0.143 33 0.300 0.300 0.300 -0.109 34 0.300 0.300 0.300 -0.084 35 0.300 0.300 0.300 -0.065 36 0.300 0.300 0.300 -0.050 37 0.300 0.300 0.300 -0.038 38 0.300 0.300 0.300 -0.030 39 0.300 0.300 0.300 -0.023 40 0.300 0.300 0.300 -0.018 41 0.300 0.300 0.300 -0.014 42 0.300 0.300 0.300 -0.011 43 0.300 0.300 0.300 -0.008 44 0.300 0.300 0.300 -0.006 45 0.300 0.300 0.300 -0.005 46 0.300 0.300 0.300 -0.004 47 0.300 0.300 0.300 -0.003 48 0.300 0.300 0.300 -0.002 49 0.300 0.300 0.300 -0.002 50 0.300 0.300 0.300 -0.001 51 0.300 0.300 0.300 -0.001 52 0.300 0.300 0.300 -8.500E-4 53 0.300 0.300 0.300 -6.600E-4 54 0.300 0.300 0.300 -5.103E-4 55 0.300 0.300 0.300 -3.912E-4 56 0.300 0.300 0.300 -2.948E-4 57 0.300 0.300 0.300 -2.148E-4 58 0.300 0.300 0.300 -1.457E-4 59 0.300 0.300 0.300 -8.313E-5 60 0.300 0.300 0.300 -2.381E-5 ---- EQU MMAT0 Starting atmospheric concentration LOWER LEVEL UPPER MARGINAL 1 808.900 808.900 808.900 -2.792 ---- EQU MMAT Atmospheric concentration equation LOWER LEVEL UPPER MARGINAL 2 . . . -3.215 3 . . . -3.163 4 . . . -2.598 5 . . . -2.100 6 . . . -1.679 7 . . . -1.330 8 . . . -1.048 9 . . . -0.821 10 . . . -0.641 11 . . . -0.499 12 . . . -0.388 13 . . . -0.301 14 . . . -0.233 15 . . . -0.181 16 . . . -0.141 17 . . . -0.109 18 . . . -0.085 19 . . . -0.066 20 . . . -0.052 21 . . . -0.040 22 . . . -0.031 23 . . . -0.024 24 . . . -0.019 25 . . . -0.015 26 . . . -0.011 27 . . . -0.009 28 . . . -0.007 29 . . . -0.005 30 . . . -0.004 31 . . . -0.003 32 . . . -0.002 33 . . . -0.002 34 . . . -0.002 35 . . . -0.001 36 . . . -9.202E-4 37 . . . -7.183E-4 38 . . . -5.610E-4 39 . . . -4.384E-4 40 . . . -3.427E-4 41 . . . -2.680E-4 42 . . . -2.097E-4 43 . . . -1.641E-4 44 . . . -1.284E-4 45 . . . -1.004E-4 46 . . . -7.851E-5 47 . . . -6.133E-5 48 . . . -4.784E-5 49 . . . -3.724E-5 50 . . . -2.890E-5 51 . . . -2.232E-5 52 . . . -1.713E-5 53 . . . -1.302E-5 54 . . . -9.751E-6 55 . . . -7.148E-6 56 . . . -5.071E-6 57 . . . -3.415E-6 58 . . . -2.110E-6 59 . . . -1.119E-6 60 . . . -4.387E-7 ---- EQU MMATAVEQ Average concentrations equation LOWER LEVEL UPPER MARGINAL 1 . . . 7.025E-23 2 . . . -1.003 3 . . . -0.872 4 . . . -0.732 5 . . . -0.600 6 . . . -0.485 7 . . . -0.387 8 . . . -0.307 9 . . . -0.241 10 . . . -0.189 11 . . . -0.148 12 . . . -0.115 13 . . . -0.089 14 . . . -0.069 15 . . . -0.053 16 . . . -0.041 17 . . . -0.032 18 . . . -0.025 19 . . . -0.019 20 . . . -0.015 21 . . . -0.012 22 . . . -0.009 23 . . . -0.007 24 . . . -0.006 25 . . . -0.004 26 . . . -0.003 27 . . . -0.003 28 . . . -0.002 29 . . . -0.002 30 . . . -0.001 31 . . . -9.418E-4 32 . . . -7.317E-4 33 . . . -5.690E-4 34 . . . -4.428E-4 35 . . . -3.449E-4 36 . . . -2.688E-4 37 . . . -2.097E-4 38 . . . -1.637E-4 39 . . . -1.278E-4 40 . . . -0.999E-4 41 . . . -7.813E-5 42 . . . -6.114E-5 43 . . . -4.788E-5 44 . . . -3.751E-5 45 . . . -2.941E-5 46 . . . -2.307E-5 47 . . . -1.811E-5 48 . . . -1.422E-5 49 . . . -1.117E-5 50 . . . -8.770E-6 51 . . . -6.887E-6 52 . . . -5.403E-6 53 . . . -4.230E-6 54 . . . -3.296E-6 55 . . . -2.547E-6 56 . . . -1.934E-6 57 . . . -1.419E-6 58 . . . -9.697E-7 59 . . . -5.572E-7 60 . . . -3.203E-7 ---- EQU MMU0 Initial shallow ocean concentration LOWER LEVEL UPPER MARGINAL 1 1255.000 1255.000 1255.000 -1.148 ---- EQU MMU Shallow ocean concentration LOWER LEVEL UPPER MARGINAL 2 . . . -0.980 3 . . . -0.788 4 . . . -0.627 5 . . . -0.495 6 . . . -0.389 7 . . . -0.305 8 . . . -0.238 9 . . . -0.185 10 . . . -0.144 11 . . . -0.112 12 . . . -0.087 13 . . . -0.067 14 . . . -0.052 15 . . . -0.041 16 . . . -0.032 17 . . . -0.025 18 . . . -0.019 19 . . . -0.015 20 . . . -0.012 21 . . . -0.009 22 . . . -0.007 23 . . . -0.005 24 . . . -0.004 25 . . . -0.003 26 . . . -0.003 27 . . . -0.002 28 . . . -0.002 29 . . . -0.001 30 . . . -9.297E-4 31 . . . -7.242E-4 32 . . . -5.645E-4 33 . . . -4.403E-4 34 . . . -3.436E-4 35 . . . -2.683E-4 36 . . . -2.096E-4 37 . . . -1.637E-4 38 . . . -1.280E-4 39 . . . -1.000E-4 40 . . . -7.818E-5 41 . . . -6.108E-5 42 . . . -4.770E-5 43 . . . -3.721E-5 44 . . . -2.898E-5 45 . . . -2.252E-5 46 . . . -1.745E-5 47 . . . -1.347E-5 48 . . . -1.033E-5 49 . . . -7.866E-6 50 . . . -5.927E-6 51 . . . -4.403E-6 52 . . . -3.210E-6 53 . . . -2.279E-6 54 . . . -1.561E-6 55 . . . -1.015E-6 56 . . . -6.125E-7 57 . . . -3.289E-7 58 . . . -1.452E-7 59 . . . -4.265E-8 60 . . . 4.079E-23 ---- EQU MML0 Initial lower ocean concentration LOWER LEVEL UPPER MARGINAL 1 18365.000 18365.000 18365.000 -0.014 ---- EQU MML Lower ocean concentration LOWER LEVEL UPPER MARGINAL 2 . . . -0.011 3 . . . -0.009 4 . . . -0.007 5 . . . -0.005 6 . . . -0.004 7 . . . -0.003 8 . . . -0.003 9 . . . -0.002 10 . . . -0.002 11 . . . -0.001 12 . . . -9.347E-4 13 . . . -7.270E-4 14 . . . -5.657E-4 15 . . . -4.402E-4 16 . . . -3.426E-4 17 . . . -2.665E-4 18 . . . -2.072E-4 19 . . . -1.610E-4 20 . . . -1.250E-4 21 . . . -9.706E-5 22 . . . -7.535E-5 23 . . . -5.853E-5 24 . . . -4.549E-5 25 . . . -3.537E-5 26 . . . -2.752E-5 27 . . . -2.143E-5 28 . . . -1.669E-5 29 . . . -1.301E-5 30 . . . -1.014E-5 31 . . . -7.905E-6 32 . . . -6.164E-6 33 . . . -4.806E-6 34 . . . -3.746E-6 35 . . . -2.918E-6 36 . . . -2.272E-6 37 . . . -1.767E-6 38 . . . -1.372E-6 39 . . . -1.063E-6 40 . . . -8.221E-7 41 . . . -6.336E-7 42 . . . -4.863E-7 43 . . . -3.715E-7 44 . . . -2.820E-7 45 . . . -2.124E-7 46 . . . -1.585E-7 47 . . . -1.168E-7 48 . . . -8.488E-8 49 . . . -6.054E-8 50 . . . -4.218E-8 51 . . . -2.854E-8 52 . . . -1.859E-8 53 . . . -1.152E-8 54 . . . -6.670E-9 55 . . . -3.514E-9 56 . . . -1.609E-9 57 . . . -5.85E-10 58 . . . -1.33E-10 59 . . . 5.160E-24 60 . . . 2.522E-24 ---- EQU TATMEQ Temperature-climate equation for atmosphere LOWER LEVEL UPPER MARGINAL 2 . . . -736.538 3 . . . -672.693 4 . . . -593.071 5 . . . -510.319 6 . . . -431.392 7 . . . -359.760 8 . . . -296.812 9 . . . -242.720 10 . . . -196.980 11 . . . -158.746 12 . . . -127.030 13 . . . -101.064 14 . . . -79.997 15 . . . -63.017 16 . . . -49.398 17 . . . -38.518 18 . . . -29.857 19 . . . -22.988 20 . . . -17.567 21 . . . -13.329 22 . . . -10.066 23 . . . -7.595 24 . . . -5.735 25 . . . -4.338 26 . . . -3.288 27 . . . -2.497 28 . . . -1.901 29 . . . -1.449 30 . . . -1.107 31 . . . -0.847 32 . . . -0.649 33 . . . -0.498 34 . . . -0.382 35 . . . -0.294 36 . . . -0.226 37 . . . -0.174 38 . . . -0.134 39 . . . -0.104 40 . . . -0.080 41 . . . -0.062 42 . . . -0.048 43 . . . -0.037 44 . . . -0.029 45 . . . -0.022 46 . . . -0.017 47 . . . -0.014 48 . . . -0.011 49 . . . -0.008 50 . . . -0.006 51 . . . -0.005 52 . . . -0.004 53 . . . -0.003 54 . . . -0.002 55 . . . -0.002 56 . . . -0.001 57 . . . -9.762E-4 58 . . . -6.623E-4 59 . . . -3.779E-4 60 . . . -1.082E-4 ---- EQU TATM0EQ Initial condition for atmospheric temperature LOWER LEVEL UPPER MARGINAL 1 0.731 0.731 0.731 -763.341 ---- EQU TOCEANEQ Temperature-climate equation for lower oceans LOWER LEVEL UPPER MARGINAL 2 . . . -219.446 3 . . . -184.261 4 . . . -152.756 5 . . . -125.342 6 . . . -101.969 7 . . . -82.342 8 . . . -66.055 9 . . . -52.669 10 . . . -41.756 11 . . . -32.925 12 . . . -25.833 13 . . . -20.171 14 . . . -15.675 15 . . . -12.122 16 . . . -9.328 17 . . . -7.143 18 . . . -5.444 19 . . . -4.134 20 . . . -3.131 21 . . . -2.370 22 . . . -1.795 23 . . . -1.362 24 . . . -1.035 25 . . . -0.788 26 . . . -0.602 27 . . . -0.460 28 . . . -0.352 29 . . . -0.270 30 . . . -0.207 31 . . . -0.159 32 . . . -0.122 33 . . . -0.094 34 . . . -0.073 35 . . . -0.056 36 . . . -0.043 37 . . . -0.033 38 . . . -0.026 39 . . . -0.020 40 . . . -0.016 41 . . . -0.012 42 . . . -0.009 43 . . . -0.007 44 . . . -0.006 45 . . . -0.004 46 . . . -0.003 47 . . . -0.003 48 . . . -0.002 49 . . . -0.002 50 . . . -0.001 51 . . . -8.580E-4 52 . . . -6.348E-4 53 . . . -4.598E-4 54 . . . -3.228E-4 55 . . . -2.163E-4 56 . . . -1.346E-4 57 . . . -7.385E-5 58 . . . -3.173E-5 59 . . . -7.144E-6 60 . . . 1.542E-20 ---- EQU TOCEAN0EQ Initial condition for lower ocean temperature LOWER LEVEL UPPER MARGINAL 1 0.007 0.007 0.007 -257.085 ---- EQU PERIODUEQ Instantaneous utility function equation LOWER LEVEL UPPER MARGINAL 1 1.000 1.000 1.000 335.773 2 1.000 1.000 1.000 316.686 3 1.000 1.000 1.000 289.492 4 1.000 1.000 1.000 259.533 5 1.000 1.000 1.000 229.757 6 1.000 1.000 1.000 201.694 7 1.000 1.000 1.000 176.051 8 1.000 1.000 1.000 153.069 9 1.000 1.000 1.000 132.727 10 1.000 1.000 1.000 114.872 11 1.000 1.000 1.000 99.289 12 1.000 1.000 1.000 85.740 13 1.000 1.000 1.000 73.993 14 1.000 1.000 1.000 63.826 15 1.000 1.000 1.000 55.038 16 1.000 1.000 1.000 47.450 17 1.000 1.000 1.000 40.902 18 1.000 1.000 1.000 35.253 19 1.000 1.000 1.000 30.382 20 1.000 1.000 1.000 26.183 21 1.000 1.000 1.000 22.563 22 1.000 1.000 1.000 19.443 23 1.000 1.000 1.000 16.754 24 1.000 1.000 1.000 14.437 25 1.000 1.000 1.000 12.440 26 1.000 1.000 1.000 10.719 27 1.000 1.000 1.000 9.237 28 1.000 1.000 1.000 7.959 29 1.000 1.000 1.000 6.858 30 1.000 1.000 1.000 5.909 31 1.000 1.000 1.000 5.092 32 1.000 1.000 1.000 4.388 33 1.000 1.000 1.000 3.781 34 1.000 1.000 1.000 3.258 35 1.000 1.000 1.000 2.807 36 1.000 1.000 1.000 2.419 37 1.000 1.000 1.000 2.084 38 1.000 1.000 1.000 1.796 39 1.000 1.000 1.000 1.547 40 1.000 1.000 1.000 1.333 41 1.000 1.000 1.000 1.149 42 1.000 1.000 1.000 0.990 43 1.000 1.000 1.000 0.853 44 1.000 1.000 1.000 0.735 45 1.000 1.000 1.000 0.633 46 1.000 1.000 1.000 0.546 47 1.000 1.000 1.000 0.470 48 1.000 1.000 1.000 0.405 49 1.000 1.000 1.000 0.349 50 1.000 1.000 1.000 0.301 51 1.000 1.000 1.000 0.259 52 1.000 1.000 1.000 0.223 53 1.000 1.000 1.000 0.192 54 1.000 1.000 1.000 0.166 55 1.000 1.000 1.000 0.143 56 1.000 1.000 1.000 0.123 57 1.000 1.000 1.000 0.106 58 1.000 1.000 1.000 0.091 59 1.000 1.000 1.000 0.079 60 1.000 1.000 1.000 0.068 ---- VAR MIU Emission control rate GHGs LOWER LEVEL UPPER MARGINAL 1 0.005 0.005 0.005 EPS 2 . 0.158 1.000 -3.04E-19 3 . 0.184 1.000 -2.49E-19 4 . 0.211 1.000 -2.05E-19 5 . 0.241 1.000 -1.68E-19 6 . 0.271 1.000 -1.37E-19 7 . 0.303 1.000 -1.10E-19 8 . 0.337 1.000 -8.63E-20 9 . 0.373 1.000 -6.45E-20 10 . 0.410 1.000 -4.40E-20 11 . 0.450 1.000 -2.41E-20 12 . 0.491 1.000 -4.10E-21 13 . 0.536 1.000 1.696E-20 14 . 0.583 1.000 4.031E-20 15 . 0.633 1.000 6.784E-20 16 . 0.687 1.000 1.029E-19 17 . 0.744 1.000 1.522E-19 18 . 0.806 1.000 2.322E-19 19 . 0.872 1.000 3.965E-19 20 . 0.943 1.000 9.796E-19 21 . 1.000 1.000 0.446 22 . 1.000 1.000 1.803 23 . 1.000 1.000 2.519 24 . 1.000 1.000 2.827 25 . 1.000 1.000 2.880 26 . 1.000 1.000 2.781 27 . 1.000 1.000 2.597 28 . 1.000 1.000 2.370 29 . 1.000 1.000 2.128 30 . 1.000 1.000 1.888 31 . 1.000 1.000 1.659 32 . 1.000 1.000 1.448 33 . 1.000 1.000 1.256 34 . 1.000 1.000 1.085 35 . 1.000 1.000 0.933 36 . 1.000 1.000 0.801 37 . 1.000 1.000 0.685 38 . 1.000 1.000 0.585 39 . 1.000 1.000 0.498 40 . 1.000 1.000 0.424 41 . 1.000 1.000 0.360 42 . 1.000 1.000 0.305 43 . 1.000 1.000 0.258 44 . 1.000 1.000 0.218 45 . 1.000 1.000 0.184 46 . 1.000 1.000 0.155 47 . 1.000 1.000 0.130 48 . 1.000 1.000 0.109 49 . 1.000 1.000 0.091 50 . 1.000 1.000 0.076 51 . 1.000 1.000 0.062 52 . 1.000 1.000 0.051 53 . 1.000 1.000 0.041 54 . 1.000 1.000 0.032 55 . 1.000 1.000 0.024 56 . 1.000 1.000 0.017 57 . 1.000 1.000 0.011 58 . 1.000 1.000 0.006 59 . 1.000 1.000 0.002 60 . 1.2277E-4 1.000 -1.58E-11 ---- VAR FORC Radiative forcing in watts per m2 LOWER LEVEL UPPER MARGINAL 1 -INF 1.791 +INF EPS 2 -INF 2.142 +INF EPS 3 -INF 2.453 +INF EPS 4 -INF 2.758 +INF EPS 5 -INF 3.056 +INF EPS 6 -INF 3.342 +INF EPS 7 -INF 3.615 +INF EPS 8 -INF 3.873 +INF EPS 9 -INF 4.118 +INF EPS 10 -INF 4.347 +INF EPS 11 -INF 4.560 +INF EPS 12 -INF 4.720 +INF EPS 13 -INF 4.861 +INF EPS 14 -INF 4.980 +INF EPS 15 -INF 5.075 +INF EPS 16 -INF 5.142 +INF EPS 17 -INF 5.174 +INF EPS 18 -INF 5.164 +INF EPS 19 -INF 5.102 +INF EPS 20 -INF 4.976 +INF EPS 21 -INF 4.784 +INF EPS 22 -INF 4.580 +INF EPS 23 -INF 4.410 +INF EPS 24 -INF 4.265 +INF EPS 25 -INF 4.139 +INF EPS 26 -INF 4.027 +INF EPS 27 -INF 3.925 +INF EPS 28 -INF 3.830 +INF EPS 29 -INF 3.742 +INF EPS 30 -INF 3.658 +INF EPS 31 -INF 3.578 +INF EPS 32 -INF 3.501 +INF EPS 33 -INF 3.426 +INF EPS 34 -INF 3.354 +INF EPS 35 -INF 3.284 +INF EPS 36 -INF 3.216 +INF EPS 37 -INF 3.149 +INF EPS 38 -INF 3.084 +INF EPS 39 -INF 3.021 +INF EPS 40 -INF 2.959 +INF EPS 41 -INF 2.898 +INF EPS 42 -INF 2.839 +INF EPS 43 -INF 2.782 +INF EPS 44 -INF 2.725 +INF EPS 45 -INF 2.670 +INF EPS 46 -INF 2.617 +INF EPS 47 -INF 2.565 +INF EPS 48 -INF 2.514 +INF EPS 49 -INF 2.464 +INF EPS 50 -INF 2.415 +INF EPS 51 -INF 2.368 +INF EPS 52 -INF 2.322 +INF EPS 53 -INF 2.277 +INF EPS 54 -INF 2.234 +INF EPS 55 -INF 2.191 +INF EPS 56 -INF 2.150 +INF EPS 57 -INF 2.109 +INF EPS 58 -INF 2.070 +INF EPS 59 -INF 2.032 +INF EPS 60 -INF -1.787 +INF EPS ---- VAR TATM Temperature of atmosphere in degrees C LOWER LEVEL UPPER MARGINAL 1 . 0.731 20.000 -7.80E-20 2 . 0.951 20.000 -5.92E-20 3 . 1.165 20.000 -4.77E-20 4 . 1.376 20.000 -3.98E-20 5 . 1.584 20.000 -3.42E-20 6 . 1.786 20.000 -2.99E-20 7 . 1.984 20.000 -2.66E-20 8 . 2.175 20.000 -2.39E-20 9 . 2.360 20.000 -2.17E-20 10 . 2.537 20.000 -2.00E-20 11 . 2.706 20.000 -1.85E-20 12 . 2.858 20.000 -1.73E-20 13 . 2.996 20.000 -1.63E-20 14 . 3.119 20.000 -1.55E-20 15 . 3.227 20.000 -1.48E-20 16 . 3.320 20.000 -1.43E-20 17 . 3.395 20.000 -1.39E-20 18 . 3.448 20.000 -1.36E-20 19 . 3.477 20.000 -1.34E-20 20 . 3.474 20.000 -1.35E-20 21 . 3.437 20.000 -1.37E-20 22 . 3.374 20.000 -1.40E-20 23 . 3.300 20.000 -1.44E-20 24 . 3.226 20.000 -1.48E-20 25 . 3.154 20.000 -1.53E-20 26 . 3.086 20.000 -1.57E-20 27 . 3.023 20.000 -1.61E-20 28 . 2.964 20.000 -1.65E-20 29 . 2.909 20.000 -1.69E-20 30 . 2.857 20.000 -1.73E-20 31 . 2.808 20.000 -1.76E-20 32 . 2.760 20.000 -1.80E-20 33 . 2.715 20.000 -1.84E-20 34 . 2.671 20.000 -1.88E-20 35 . 2.627 20.000 -1.91E-20 36 . 2.585 20.000 -1.95E-20 37 . 2.544 20.000 -1.99E-20 38 . 2.503 20.000 -2.03E-20 39 . 2.463 20.000 -2.07E-20 40 . 2.423 20.000 -2.11E-20 41 . 2.384 20.000 -2.15E-20 42 . 2.346 20.000 -2.19E-20 43 . 2.308 20.000 -2.23E-20 44 . 2.270 20.000 -2.27E-20 45 . 2.233 20.000 -2.32E-20 46 . 2.197 20.000 -2.36E-20 47 . 2.161 20.000 -2.41E-20 48 . 2.126 20.000 -2.45E-20 49 . 2.091 20.000 -2.50E-20 50 . 2.057 20.000 -2.55E-20 51 . 2.023 20.000 -2.60E-20 52 . 1.990 20.000 -2.65E-20 53 . 1.957 20.000 -2.70E-20 54 . 1.925 20.000 -2.75E-20 55 . 1.894 20.000 -2.80E-20 56 . 1.863 20.000 -2.85E-20 57 . 1.833 20.000 -2.91E-20 58 . 1.803 20.000 -2.96E-20 59 . 1.774 20.000 -3.01E-20 60 . 0.913 20.000 -6.17E-20 ---- VAR TOCEAN Temperatureof lower oceans degrees C LOWER LEVEL UPPER MARGINAL 1 -1.000 0.007 20.000 -5.59E-20 2 -1.000 0.043 20.000 -5.38E-20 3 -1.000 0.088 20.000 -5.14E-20 4 -1.000 0.142 20.000 -4.89E-20 5 -1.000 0.204 20.000 -4.62E-20 6 -1.000 0.273 20.000 -4.35E-20 7 -1.000 0.349 20.000 -4.09E-20 8 -1.000 0.430 20.000 -3.84E-20 9 -1.000 0.518 20.000 -3.60E-20 10 -1.000 0.610 20.000 -3.37E-20 11 -1.000 0.706 20.000 -3.16E-20 12 -1.000 0.806 20.000 -2.97E-20 13 -1.000 0.909 20.000 -2.79E-20 14 -1.000 1.013 20.000 -2.63E-20 15 -1.000 1.118 20.000 -2.48E-20 16 -1.000 1.224 20.000 -2.35E-20 17 -1.000 1.329 20.000 -2.23E-20 18 -1.000 1.432 20.000 -2.12E-20 19 -1.000 1.533 20.000 -2.02E-20 20 -1.000 1.630 20.000 -1.93E-20 21 -1.000 1.722 20.000 -1.85E-20 22 -1.000 1.808 20.000 -1.78E-20 23 -1.000 1.886 20.000 -1.73E-20 24 -1.000 1.957 20.000 -1.67E-20 25 -1.000 2.020 20.000 -1.63E-20 26 -1.000 2.077 20.000 -1.59E-20 27 -1.000 2.127 20.000 -1.56E-20 28 -1.000 2.172 20.000 -1.53E-20 29 -1.000 2.212 20.000 -1.51E-20 30 -1.000 2.247 20.000 -1.49E-20 31 -1.000 2.277 20.000 -1.47E-20 32 -1.000 2.304 20.000 -1.46E-20 33 -1.000 2.327 20.000 -1.45E-20 34 -1.000 2.346 20.000 -1.43E-20 35 -1.000 2.362 20.000 -1.43E-20 36 -1.000 2.375 20.000 -1.42E-20 37 -1.000 2.386 20.000 -1.41E-20 38 -1.000 2.394 20.000 -1.41E-20 39 -1.000 2.399 20.000 -1.41E-20 40 -1.000 2.402 20.000 -1.40E-20 41 -1.000 2.403 20.000 -1.40E-20 42 -1.000 2.403 20.000 -1.40E-20 43 -1.000 2.400 20.000 -1.41E-20 44 -1.000 2.395 20.000 -1.41E-20 45 -1.000 2.389 20.000 -1.41E-20 46 -1.000 2.381 20.000 -1.42E-20 47 -1.000 2.372 20.000 -1.42E-20 48 -1.000 2.361 20.000 -1.43E-20 49 -1.000 2.350 20.000 -1.43E-20 50 -1.000 2.337 20.000 -1.44E-20 51 -1.000 2.323 20.000 -1.45E-20 52 -1.000 2.308 20.000 -1.46E-20 53 -1.000 2.292 20.000 -1.46E-20 54 -1.000 2.275 20.000 -1.47E-20 55 -1.000 2.258 20.000 -1.48E-20 56 -1.000 2.239 20.000 -1.49E-20 57 -1.000 2.221 20.000 -1.51E-20 58 -1.000 2.201 20.000 -1.52E-20 59 -1.000 2.181 20.000 -1.53E-20 60 -1.000 2.161 20.000 -1.54E-20 ---- VAR MAT Carbon concentration in atmosphere GtC LOWER LEVEL UPPER MARGINAL 1 10.000 808.900 +INF -7.41E-23 2 10.000 863.108 +INF -6.94E-23 3 10.000 907.615 +INF -6.60E-23 4 10.000 954.046 +INF -6.27E-23 5 10.000 1001.582 +INF -5.97E-23 6 10.000 1049.507 +INF -5.70E-23 7 10.000 1097.239 +INF -5.45E-23 8 10.000 1144.301 +INF -5.22E-23 9 10.000 1190.270 +INF -5.02E-23 10 10.000 1234.726 +INF -4.84E-23 11 10.000 1277.209 +INF -4.67E-23 12 10.000 1317.180 +INF -4.53E-23 13 10.000 1353.969 +INF -4.41E-23 14 10.000 1386.732 +INF -4.30E-23 15 10.000 1414.417 +INF -4.22E-23 16 10.000 1435.729 +INF -4.15E-23 17 10.000 1449.086 +INF -4.12E-23 18 10.000 1452.574 +INF -4.11E-23 19 10.000 1443.893 +INF -4.13E-23 20 10.000 1420.329 +INF -4.20E-23 21 10.000 1378.787 +INF -4.33E-23 22 10.000 1323.823 +INF -4.51E-23 23 10.000 1280.089 +INF -4.66E-23 24 10.000 1244.333 +INF -4.80E-23 25 10.000 1214.294 +INF -4.92E-23 26 10.000 1188.395 +INF -5.03E-23 27 10.000 1165.537 +INF -5.13E-23 28 10.000 1144.951 +INF -5.22E-23 29 10.000 1126.098 +INF -5.31E-23 30 10.000 1108.600 +INF -5.39E-23 31 10.000 1092.188 +INF -5.47E-23 32 10.000 1076.673 +INF -5.55E-23 33 10.000 1061.917 +INF -5.63E-23 34 10.000 1047.822 +INF -5.71E-23 35 10.000 1034.312 +INF -5.78E-23 36 10.000 1021.335 +INF -5.86E-23 37 10.000 1008.847 +INF -5.93E-23 38 10.000 996.815 +INF -6.00E-23 39 10.000 985.213 +INF -6.07E-23 40 10.000 974.017 +INF -6.14E-23 41 10.000 963.209 +INF -6.21E-23 42 10.000 952.773 +INF -6.28E-23 43 10.000 942.692 +INF -6.35E-23 44 10.000 932.954 +INF -6.42E-23 45 10.000 923.546 +INF -6.48E-23 46 10.000 914.457 +INF -6.55E-23 47 10.000 905.674 +INF -6.61E-23 48 10.000 897.187 +INF -6.68E-23 49 10.000 888.987 +INF -6.74E-23 50 10.000 881.063 +INF -6.80E-23 51 10.000 873.407 +INF -6.86E-23 52 10.000 866.008 +INF -6.92E-23 53 10.000 858.859 +INF -6.98E-23 54 10.000 851.952 +INF -7.03E-23 55 10.000 845.277 +INF -7.09E-23 56 10.000 838.827 +INF -7.15E-23 57 10.000 832.596 +INF -7.20E-23 58 10.000 826.574 +INF -7.25E-23 59 10.000 820.756 +INF -7.30E-23 60 10.000 815.135 +INF -7.36E-23 ---- VAR MATAV Average concentrations LOWER LEVEL UPPER MARGINAL 1 . 836.004 +INF -7.08E-23 2 . 885.361 +INF -6.69E-23 3 . 930.830 +INF -6.36E-23 4 . 977.814 +INF -6.06E-23 5 . 1025.545 +INF -5.77E-23 6 . 1073.373 +INF -5.52E-23 7 . 1120.770 +INF -5.28E-23 8 . 1167.286 +INF -5.07E-23 9 . 1212.498 +INF -4.88E-23 10 . 1255.968 +INF -4.72E-23 11 . 1297.194 +INF -4.57E-23 12 . 1335.575 +INF -4.43E-23 13 . 1370.351 +INF -4.32E-23 14 . 1400.575 +INF -4.23E-23 15 . 1425.073 +INF -4.16E-23 16 . 1442.408 +INF -4.11E-23 17 . 1450.830 +INF -4.08E-23 18 . 1448.233 +INF -4.09E-23 19 . 1432.111 +INF -4.14E-23 20 . 1399.558 +INF -4.23E-23 21 . 1351.305 +INF -4.38E-23 22 . 1301.956 +INF -4.55E-23 23 . 1262.211 +INF -4.69E-23 24 . 1229.314 +INF -4.82E-23 25 . 1201.345 +INF -4.93E-23 26 . 1176.966 +INF -5.03E-23 27 . 1155.244 +INF -5.13E-23 28 . 1135.524 +INF -5.22E-23 29 . 1117.349 +INF -5.30E-23 30 . 1100.394 +INF -5.38E-23 31 . 1084.431 +INF -5.46E-23 32 . 1069.295 +INF -5.54E-23 33 . 1054.870 +INF -5.61E-23 34 . 1041.067 +INF -5.69E-23 35 . 1027.824 +INF -5.76E-23 36 . 1015.091 +INF -5.83E-23 37 . 1002.831 +INF -5.91E-23 38 . 991.014 +INF -5.98E-23 39 . 979.615 +INF -6.05E-23 40 . 968.613 +INF -6.11E-23 41 . 957.991 +INF -6.18E-23 42 . 947.732 +INF -6.25E-23 43 . 937.823 +INF -6.32E-23 44 . 928.250 +INF -6.38E-23 45 . 919.001 +INF -6.44E-23 46 . 910.065 +INF -6.51E-23 47 . 901.430 +INF -6.57E-23 48 . 893.087 +INF -6.63E-23 49 . 885.025 +INF -6.69E-23 50 . 877.235 +INF -6.75E-23 51 . 869.707 +INF -6.81E-23 52 . 862.434 +INF -6.87E-23 53 . 855.405 +INF -6.92E-23 54 . 848.614 +INF -6.98E-23 55 . 842.052 +INF -7.03E-23 56 . 835.712 +INF -7.09E-23 57 . 829.585 +INF -7.14E-23 58 . 823.665 +INF -7.19E-23 59 . 817.945 +INF -7.24E-23 60 . 407.567 +INF -1.45E-22 ---- VAR MU Carbon concentration in shallow oceans Gtc LOWER LEVEL UPPER MARGINAL 1 100.000 1255.000 +INF -5.13E-23 2 100.000 1280.635 +INF -5.02E-23 3 100.000 1312.775 +INF -4.88E-23 4 100.000 1348.628 +INF -4.74E-23 5 100.000 1388.018 +INF -4.60E-23 6 100.000 1430.640 +INF -4.45E-23 7 100.000 1476.095 +INF -4.30E-23 8 100.000 1523.939 +INF -4.16E-23 9 100.000 1573.698 +INF -4.02E-23 10 100.000 1624.892 +INF -3.88E-23 11 100.000 1677.030 +INF -3.76E-23 12 100.000 1729.608 +INF -3.63E-23 13 100.000 1782.094 +INF -3.52E-23 14 100.000 1833.906 +INF -3.42E-23 15 100.000 1884.390 +INF -3.32E-23 16 100.000 1932.787 +INF -3.23E-23 17 100.000 1978.207 +INF -3.15E-23 18 100.000 2019.588 +INF -3.09E-23 19 100.000 2055.665 +INF -3.03E-23 20 100.000 2084.919 +INF -2.98E-23 21 100.000 2105.545 +INF -2.95E-23 22 100.000 2115.413 +INF -2.94E-23 23 100.000 2113.569 +INF -2.94E-23 24 100.000 2103.864 +INF -2.96E-23 25 100.000 2088.965 +INF -2.98E-23 26 100.000 2070.717 +INF -3.01E-23 27 100.000 2050.392 +INF -3.04E-23 28 100.000 2028.871 +INF -3.07E-23 29 100.000 2006.754 +INF -3.11E-23 30 100.000 1984.454 +INF -3.14E-23 31 100.000 1962.251 +INF -3.18E-23 32 100.000 1940.332 +INF -3.22E-23 33 100.000 1918.821 +INF -3.26E-23 34 100.000 1897.798 +INF -3.29E-23 35 100.000 1877.313 +INF -3.33E-23 36 100.000 1857.393 +INF -3.37E-23 37 100.000 1838.052 +INF -3.41E-23 38 100.000 1819.296 +INF -3.44E-23 39 100.000 1801.119 +INF -3.48E-23 40 100.000 1783.516 +INF -3.52E-23 41 100.000 1766.476 +INF -3.55E-23 42 100.000 1749.985 +INF -3.59E-23 43 100.000 1734.031 +INF -3.62E-23 44 100.000 1718.600 +INF -3.66E-23 45 100.000 1703.676 +INF -3.69E-23 46 100.000 1689.244 +INF -3.73E-23 47 100.000 1675.290 +INF -3.76E-23 48 100.000 1661.799 +INF -3.79E-23 49 100.000 1648.756 +INF -3.82E-23 50 100.000 1636.148 +INF -3.86E-23 51 100.000 1623.960 +INF -3.89E-23 52 100.000 1612.179 +INF -3.92E-23 53 100.000 1600.792 +INF -3.95E-23 54 100.000 1589.786 +INF -3.98E-23 55 100.000 1579.149 +INF -4.00E-23 56 100.000 1568.868 +INF -4.03E-23 57 100.000 1558.933 +INF -4.06E-23 58 100.000 1549.330 +INF -4.09E-23 59 100.000 1540.051 +INF -4.11E-23 60 100.000 1531.083 +INF -4.14E-23 ---- VAR ML Carbon concentration in lower oceans GtC LOWER LEVEL UPPER MARGINAL 1 1000.000 18365.000 +INF -3.41E-24 2 1000.000 18370.477 +INF -3.41E-24 3 1000.000 18377.219 +INF -3.41E-24 4 1000.000 18385.547 +INF -3.41E-24 5 1000.000 18395.642 +INF -3.40E-24 6 1000.000 18407.675 +INF -3.40E-24 7 1000.000 18421.801 +INF -3.40E-24 8 1000.000 18438.156 +INF -3.40E-24 9 1000.000 18456.852 +INF -3.39E-24 10 1000.000 18477.978 +INF -3.39E-24 11 1000.000 18501.597 +INF -3.38E-24 12 1000.000 18527.750 +INF -3.38E-24 13 1000.000 18556.450 +INF -3.37E-24 14 1000.000 18587.685 +INF -3.37E-24 15 1000.000 18621.414 +INF -3.36E-24 16 1000.000 18657.561 +INF -3.35E-24 17 1000.000 18696.015 +INF -3.35E-24 18 1000.000 18736.620 +INF -3.34E-24 19 1000.000 18779.168 +INF -3.33E-24 20 1000.000 18823.387 +INF -3.32E-24 21 1000.000 18868.931 +INF -3.31E-24 22 1000.000 18915.364 +INF -3.31E-24 23 1000.000 18962.146 +INF -3.30E-24 24 1000.000 19008.689 +INF -3.29E-24 25 1000.000 19054.602 +INF -3.28E-24 26 1000.000 19099.627 +INF -3.27E-24 27 1000.000 19143.600 +INF -3.26E-24 28 1000.000 19186.418 +INF -3.26E-24 29 1000.000 19228.028 +INF -3.25E-24 30 1000.000 19268.401 +INF -3.24E-24 31 1000.000 19307.534 +INF -3.23E-24 32 1000.000 19345.434 +INF -3.23E-24 33 1000.000 19382.121 +INF -3.22E-24 34 1000.000 19417.617 +INF -3.22E-24 35 1000.000 19451.952 +INF -3.21E-24 36 1000.000 19485.155 +INF -3.20E-24 37 1000.000 19517.259 +INF -3.20E-24 38 1000.000 19548.295 +INF -3.19E-24 39 1000.000 19578.297 +INF -3.19E-24 40 1000.000 19607.297 +INF -3.18E-24 41 1000.000 19635.326 +INF -3.18E-24 42 1000.000 19662.415 +INF -3.17E-24 43 1000.000 19688.596 +INF -3.17E-24 44 1000.000 19713.897 +INF -3.16E-24 45 1000.000 19738.347 +INF -3.16E-24 46 1000.000 19761.976 +INF -3.16E-24 47 1000.000 19784.809 +INF -3.15E-24 48 1000.000 19806.873 +INF -3.15E-24 49 1000.000 19828.193 +INF -3.15E-24 50 1000.000 19848.795 +INF -3.14E-24 51 1000.000 19868.703 +INF -3.14E-24 52 1000.000 19887.939 +INF -3.14E-24 53 1000.000 19906.526 +INF -3.13E-24 54 1000.000 19924.485 +INF -3.13E-24 55 1000.000 19941.838 +INF -3.13E-24 56 1000.000 19958.606 +INF -3.12E-24 57 1000.000 19974.807 +INF -3.12E-24 58 1000.000 19990.460 +INF -3.12E-24 59 1000.000 20005.585 +INF -3.12E-24 60 1000.000 20020.199 +INF -3.11E-24 ---- VAR E CO2-equivalent emissions GtC LOWER LEVEL UPPER MARGINAL 1 . 85.320 +INF -6.94E-22 2 . 83.388 +INF -7.10E-22 3 . 90.613 +INF -6.54E-22 4 . 97.021 +INF -6.10E-22 5 . 102.578 +INF -5.77E-22 6 . 107.314 +INF -5.52E-22 7 . 111.260 +INF -5.32E-22 8 . 114.425 +INF -5.18E-22 9 . 116.776 +INF -5.07E-22 10 . 118.241 +INF -5.01E-22 11 . 118.702 +INF -4.99E-22 12 . 117.975 +INF -5.02E-22 13 . 115.810 +INF -5.11E-22 14 . 111.897 +INF -5.29E-22 15 . 105.857 +INF -5.59E-22 16 . 97.231 +INF -6.09E-22 17 . 85.474 +INF -6.93E-22 18 . 69.944 +INF -8.47E-22 19 . 49.910 +INF -1.19E-21 20 . 24.627 +INF -2.40E-21 21 . 1.337 +INF -4.43E-20 22 . 1.204 +INF -4.92E-20 23 . 1.083 +INF -5.47E-20 24 . 0.975 +INF -6.07E-20 25 . 0.877 +INF -6.75E-20 26 . 0.790 +INF -7.50E-20 27 . 0.711 +INF -8.33E-20 28 . 0.640 +INF -9.26E-20 29 . 0.576 +INF -1.03E-19 30 . 0.518 +INF -1.14E-19 31 . 0.466 +INF -1.27E-19 32 . 0.420 +INF -1.41E-19 33 . 0.378 +INF -1.57E-19 34 . 0.340 +INF -1.74E-19 35 . 0.306 +INF -1.94E-19 36 . 0.275 +INF -2.15E-19 37 . 0.248 +INF -2.39E-19 38 . 0.223 +INF -2.66E-19 39 . 0.201 +INF -2.95E-19 40 . 0.181 +INF -3.28E-19 41 . 0.163 +INF -3.64E-19 42 . 0.146 +INF -4.05E-19 43 . 0.132 +INF -4.50E-19 44 . 0.119 +INF -5.00E-19 45 . 0.107 +INF -5.55E-19 46 . 0.096 +INF -6.17E-19 47 . 0.086 +INF -6.85E-19 48 . 0.078 +INF -7.62E-19 49 . 0.070 +INF -8.46E-19 50 . 0.063 +INF -9.40E-19 51 . 0.057 +INF -1.04E-18 52 . 0.051 +INF -1.16E-18 53 . 0.046 +INF -1.29E-18 54 . 0.041 +INF -1.43E-18 55 . 0.037 +INF -1.59E-18 56 . 0.033 +INF -1.77E-18 57 . 0.030 +INF -1.97E-18 58 . 0.027 +INF -2.18E-18 59 . 0.024 +INF -2.43E-18 60 . 6855.000 +INF -8.64E-24 ---- VAR C Consumption trillions US dollars LOWER LEVEL UPPER MARGINAL 1 20.000 43.354 +INF -2.54E-21 2 20.000 54.199 +INF -1.73E-21 3 20.000 66.322 +INF -1.28E-21 4 20.000 79.624 +INF -9.93E-22 5 20.000 94.141 +INF -7.99E-22 6 20.000 109.993 +INF -6.58E-22 7 20.000 127.359 +INF -5.52E-22 8 20.000 146.451 +INF -4.68E-22 9 20.000 167.506 +INF -4.02E-22 10 20.000 190.785 +INF -3.47E-22 11 20.000 216.565 +INF -3.01E-22 12 20.000 245.179 +INF -2.63E-22 13 20.000 276.959 +INF -2.30E-22 14 20.000 312.265 +INF -2.03E-22 15 20.000 351.488 +INF -1.79E-22 16 20.000 395.053 +INF -1.58E-22 17 20.000 443.430 +INF -1.40E-22 18 20.000 497.144 +INF -1.24E-22 19 20.000 556.782 +INF -1.10E-22 20 20.000 623.020 +INF -9.82E-23 21 20.000 697.090 +INF -8.75E-23 22 20.000 781.240 +INF -7.78E-23 23 20.000 875.188 +INF -6.93E-23 24 20.000 979.598 +INF -6.17E-23 25 20.000 1095.268 +INF -5.51E-23 26 20.000 1223.116 +INF -4.92E-23 27 20.000 1364.177 +INF -4.41E-23 28 20.000 1519.593 +INF -3.95E-23 29 20.000 1690.612 +INF -3.55E-23 30 20.000 1878.587 +INF -3.19E-23 31 20.000 2084.978 +INF -2.87E-23 32 20.000 2311.352 +INF -2.58E-23 33 20.000 2559.388 +INF -2.33E-23 34 20.000 2830.882 +INF -2.11E-23 35 20.000 3127.750 +INF -1.91E-23 36 20.000 3452.037 +INF -1.73E-23 37 20.000 3805.917 +INF -1.56E-23 38 20.000 4191.703 +INF -1.42E-23 39 20.000 4611.853 +INF -1.29E-23 40 20.000 5068.976 +INF -1.17E-23 41 20.000 5565.835 +INF -1.07E-23 42 20.000 6105.361 +INF -9.73E-24 43 20.000 6690.651 +INF -8.88E-24 44 20.000 7324.982 +INF -8.11E-24 45 20.000 8011.811 +INF -7.41E-24 46 20.000 8754.789 +INF -6.78E-24 47 20.000 9557.762 +INF -6.21E-24 48 20.000 10424.778 +INF -5.69E-24 49 20.000 11360.099 +INF -5.22E-24 50 20.000 12368.200 +INF -4.80E-24 51 20.000 13453.783 +INF -4.41E-24 52 20.000 14621.778 +INF -4.06E-24 53 20.000 15877.352 +INF -3.73E-24 54 20.000 17225.917 +INF -3.44E-24 55 20.000 18673.129 +INF -3.18E-24 56 20.000 20224.906 +INF -2.93E-24 57 20.000 21887.422 +INF -2.71E-24 58 20.000 23667.120 +INF -2.50E-24 59 20.000 25570.715 +INF -2.32E-24 60 20.000 27895.416 +INF -2.12E-24 ---- VAR K Capital stock trillions US dollars LOWER LEVEL UPPER MARGINAL 1 100.000 137.000 +INF -1.60E-21 2 100.000 170.053 +INF -8.45E-22 3 100.000 212.167 +INF -5.28E-22 4 100.000 261.043 +INF -3.68E-22 5 100.000 315.604 +INF -2.75E-22 6 100.000 375.572 +INF -2.15E-22 7 100.000 441.194 +INF -1.74E-22 8 100.000 513.056 +INF -1.43E-22 9 100.000 591.961 +INF -1.20E-22 10 100.000 678.860 +INF -1.02E-22 11 100.000 774.818 +INF -8.78E-23 12 100.000 880.990 +INF -7.58E-23 13 100.000 998.714 +INF -6.59E-23 14 100.000 1129.399 +INF -5.75E-23 15 100.000 1274.549 +INF -5.04E-23 16 100.000 1435.787 +INF -4.43E-23 17 100.000 1614.883 +INF -3.91E-23 18 100.000 1813.779 +INF -3.46E-23 19 100.000 2034.629 +INF -3.06E-23 20 100.000 2279.845 +INF -2.72E-23 21 100.000 2552.172 +INF -2.42E-23 22 100.000 2856.041 +INF -2.15E-23 23 100.000 3199.341 +INF -1.91E-23 24 100.000 3584.023 +INF -1.70E-23 25 100.000 4012.643 +INF -1.51E-23 26 100.000 4488.342 +INF -1.35E-23 27 100.000 5014.806 +INF -1.21E-23 28 100.000 5596.238 +INF -1.08E-23 29 100.000 6237.323 +INF -9.65E-24 30 100.000 6943.217 +INF -8.65E-24 31 100.000 7719.533 +INF -7.77E-24 32 100.000 8572.345 +INF -6.99E-24 33 100.000 9508.192 +INF -6.29E-24 34 100.000 10534.090 +INF -5.68E-24 35 100.000 11657.551 +INF -5.12E-24 36 100.000 12886.600 +INF -4.63E-24 37 100.000 14229.797 +INF -4.19E-24 38 100.000 15696.264 +INF -3.80E-24 39 100.000 17295.704 +INF -3.44E-24 40 100.000 19038.433 +INF -3.13E-24 41 100.000 20935.405 +INF -2.84E-24 42 100.000 22998.237 +INF -2.59E-24 43 100.000 25239.241 +INF -2.36E-24 44 100.000 27671.449 +INF -2.15E-24 45 100.000 30308.645 +INF -1.96E-24 46 100.000 33165.390 +INF -1.79E-24 47 100.000 36257.055 +INF -1.64E-24 48 100.000 39599.845 +INF -1.50E-24 49 100.000 43210.835 +INF -1.37E-24 50 100.000 47107.993 +INF -1.26E-24 51 100.000 51310.211 +INF -1.16E-24 52 100.000 55837.334 +INF -1.06E-24 53 100.000 60710.190 +INF -9.77E-25 54 100.000 65950.613 +INF -8.99E-25 55 100.000 71581.478 +INF -8.29E-25 56 100.000 77626.722 +INF -7.64E-25 57 100.000 84111.374 +INF -7.05E-25 58 100.000 91061.579 +INF -6.51E-25 59 100.000 98504.627 +INF -6.02E-25 60 100.000 1.0647E+5 +INF -5.57E-25 ---- VAR CPC Per capita consumption thousands US dollars LOWER LEVEL UPPER MARGINAL 1 -INF 6.656 +INF EPS 2 -INF 7.602 +INF EPS 3 -INF 8.768 +INF EPS 4 -INF 10.117 +INF EPS 5 -INF 11.643 +INF EPS 6 -INF 13.353 +INF EPS 7 -INF 15.263 +INF EPS 8 -INF 17.393 +INF EPS 9 -INF 19.769 +INF EPS 10 -INF 22.417 +INF EPS 11 -INF 25.368 +INF EPS 12 -INF 28.657 +INF EPS 13 -INF 32.322 +INF EPS 14 -INF 36.403 +INF EPS 15 -INF 40.945 +INF EPS 16 -INF 45.995 +INF EPS 17 -INF 51.608 +INF EPS 18 -INF 57.844 +INF EPS 19 -INF 64.771 +INF EPS 20 -INF 72.467 +INF EPS 21 -INF 81.075 +INF EPS 22 -INF 90.856 +INF EPS 23 -INF 101.777 +INF EPS 24 -INF 113.916 +INF EPS 25 -INF 127.364 +INF EPS 26 -INF 142.228 +INF EPS 27 -INF 158.630 +INF EPS 28 -INF 176.700 +INF EPS 29 -INF 196.585 +INF EPS 30 -INF 218.442 +INF EPS 31 -INF 242.441 +INF EPS 32 -INF 268.763 +INF EPS 33 -INF 297.604 +INF EPS 34 -INF 329.173 +INF EPS 35 -INF 363.693 +INF EPS 36 -INF 401.400 +INF EPS 37 -INF 442.549 +INF EPS 38 -INF 487.408 +INF EPS 39 -INF 536.262 +INF EPS 40 -INF 589.416 +INF EPS 41 -INF 647.190 +INF EPS 42 -INF 709.926 +INF EPS 43 -INF 777.983 +INF EPS 44 -INF 851.742 +INF EPS 45 -INF 931.606 +INF EPS 46 -INF 1017.999 +INF EPS 47 -INF 1111.368 +INF EPS 48 -INF 1212.184 +INF EPS 49 -INF 1320.942 +INF EPS 50 -INF 1438.163 +INF EPS 51 -INF 1564.393 +INF EPS 52 -INF 1700.207 +INF EPS 53 -INF 1846.204 +INF EPS 54 -INF 2003.014 +INF EPS 55 -INF 2171.294 +INF EPS 56 -INF 2351.733 +INF EPS 57 -INF 2545.049 +INF EPS 58 -INF 2751.991 +INF EPS 59 -INF 2973.339 +INF EPS 60 -INF 3243.653 +INF EPS ---- VAR PCY Per capita income thousands US dollars LOWER LEVEL UPPER MARGINAL 1 -INF 8.533 +INF EPS 2 -INF 9.746 +INF EPS 3 -INF 11.241 +INF EPS 4 -INF 12.971 +INF EPS 5 -INF 14.927 +INF EPS 6 -INF 17.119 +INF EPS 7 -INF 19.567 +INF EPS 8 -INF 22.299 +INF EPS 9 -INF 25.345 +INF EPS 10 -INF 28.740 +INF EPS 11 -INF 32.523 +INF EPS 12 -INF 36.740 +INF EPS 13 -INF 41.439 +INF EPS 14 -INF 46.671 +INF EPS 15 -INF 52.493 +INF EPS 16 -INF 58.968 +INF EPS 17 -INF 66.164 +INF EPS 18 -INF 74.159 +INF EPS 19 -INF 83.040 +INF EPS 20 -INF 92.906 +INF EPS 21 -INF 103.942 +INF EPS 22 -INF 116.482 +INF EPS 23 -INF 130.484 +INF EPS 24 -INF 146.046 +INF EPS 25 -INF 163.287 +INF EPS 26 -INF 182.344 +INF EPS 27 -INF 203.371 +INF EPS 28 -INF 226.539 +INF EPS 29 -INF 252.033 +INF EPS 30 -INF 280.054 +INF EPS 31 -INF 310.822 +INF EPS 32 -INF 344.568 +INF EPS 33 -INF 381.544 +INF EPS 34 -INF 422.017 +INF EPS 35 -INF 466.272 +INF EPS 36 -INF 514.616 +INF EPS 37 -INF 567.370 +INF EPS 38 -INF 624.882 +INF EPS 39 -INF 687.516 +INF EPS 40 -INF 755.661 +INF EPS 41 -INF 829.731 +INF EPS 42 -INF 910.161 +INF EPS 43 -INF 997.414 +INF EPS 44 -INF 1091.977 +INF EPS 45 -INF 1194.367 +INF EPS 46 -INF 1305.127 +INF EPS 47 -INF 1424.830 +INF EPS 48 -INF 1554.081 +INF EPS 49 -INF 1693.515 +INF EPS 50 -INF 1843.798 +INF EPS 51 -INF 2005.633 +INF EPS 52 -INF 2179.752 +INF EPS 53 -INF 2366.928 +INF EPS 54 -INF 2567.966 +INF EPS 55 -INF 2783.710 +INF EPS 56 -INF 3015.043 +INF EPS 57 -INF 3262.883 +INF EPS 58 -INF 3528.193 +INF EPS 59 -INF 3811.973 +INF EPS 60 -INF 4158.530 +INF EPS ---- VAR I Investment trillions US dollars LOWER LEVEL UPPER MARGINAL 1 . 12.228 +INF -4.84E-21 2 . 15.287 +INF -3.87E-21 3 . 18.707 +INF -3.17E-21 4 . 22.458 +INF -2.64E-21 5 . 26.553 +INF -2.23E-21 6 . 31.024 +INF -1.91E-21 7 . 35.922 +INF -1.65E-21 8 . 41.307 +INF -1.43E-21 9 . 47.246 +INF -1.25E-21 10 . 53.811 +INF -1.10E-21 11 . 61.083 +INF -9.70E-22 12 . 69.153 +INF -8.56E-22 13 . 78.117 +INF -7.58E-22 14 . 88.075 +INF -6.72E-22 15 . 99.138 +INF -5.97E-22 16 . 111.425 +INF -5.32E-22 17 . 125.070 +INF -4.74E-22 18 . 140.220 +INF -4.22E-22 19 . 157.041 +INF -3.77E-22 20 . 175.724 +INF -3.37E-22 21 . 196.615 +INF -3.01E-22 22 . 220.350 +INF -2.69E-22 23 . 246.848 +INF -2.40E-22 24 . 276.297 +INF -2.14E-22 25 . 308.922 +INF -1.92E-22 26 . 344.982 +INF -1.72E-22 27 . 384.768 +INF -1.54E-22 28 . 428.604 +INF -1.38E-22 29 . 476.840 +INF -1.24E-22 30 . 529.858 +INF -1.12E-22 31 . 588.071 +INF -1.01E-22 32 . 651.920 +INF -9.08E-23 33 . 721.879 +INF -8.20E-23 34 . 798.454 +INF -7.42E-23 35 . 882.186 +INF -6.71E-23 36 . 973.652 +INF -6.08E-23 37 . 1073.464 +INF -5.52E-23 38 . 1182.275 +INF -5.01E-23 39 . 1300.779 +INF -4.55E-23 40 . 1429.711 +INF -4.14E-23 41 . 1569.851 +INF -3.77E-23 42 . 1722.025 +INF -3.44E-23 43 . 1887.107 +INF -3.14E-23 44 . 2066.021 +INF -2.87E-23 45 . 2259.742 +INF -2.62E-23 46 . 2469.300 +INF -2.40E-23 47 . 2695.779 +INF -2.20E-23 48 . 2940.322 +INF -2.01E-23 49 . 3204.131 +INF -1.85E-23 50 . 3488.467 +INF -1.70E-23 51 . 3794.657 +INF -1.56E-23 52 . 4124.092 +INF -1.44E-23 53 . 4478.228 +INF -1.32E-23 54 . 4858.592 +INF -1.22E-23 55 . 5266.780 +INF -1.12E-23 56 . 5704.461 +INF -1.04E-23 57 . 6173.376 +INF -9.59E-24 58 . 6675.342 +INF -8.87E-24 59 . 7212.253 +INF -8.21E-24 60 . 7867.938 +INF -7.53E-24 ---- VAR S Gross savings rate as fraction of gross world product LOWER LEVEL UPPER MARGINAL 1 0.220 0.220 0.220 EPS 2 0.220 0.220 0.220 EPS 3 0.220 0.220 0.220 EPS 4 0.220 0.220 0.220 EPS 5 0.220 0.220 0.220 EPS 6 0.220 0.220 0.220 EPS 7 0.220 0.220 0.220 EPS 8 0.220 0.220 0.220 EPS 9 0.220 0.220 0.220 EPS 10 0.220 0.220 0.220 EPS 11 0.220 0.220 0.220 EPS 12 0.220 0.220 0.220 EPS 13 0.220 0.220 0.220 EPS 14 0.220 0.220 0.220 EPS 15 0.220 0.220 0.220 EPS 16 0.220 0.220 0.220 EPS 17 0.220 0.220 0.220 EPS 18 0.220 0.220 0.220 EPS 19 0.220 0.220 0.220 EPS 20 0.220 0.220 0.220 EPS 21 0.220 0.220 0.220 EPS 22 0.220 0.220 0.220 EPS 23 0.220 0.220 0.220 EPS 24 0.220 0.220 0.220 EPS 25 0.220 0.220 0.220 EPS 26 0.220 0.220 0.220 EPS 27 0.220 0.220 0.220 EPS 28 0.220 0.220 0.220 EPS 29 0.220 0.220 0.220 EPS 30 0.220 0.220 0.220 EPS 31 0.220 0.220 0.220 EPS 32 0.220 0.220 0.220 EPS 33 0.220 0.220 0.220 EPS 34 0.220 0.220 0.220 EPS 35 0.220 0.220 0.220 EPS 36 0.220 0.220 0.220 EPS 37 0.220 0.220 0.220 EPS 38 0.220 0.220 0.220 EPS 39 0.220 0.220 0.220 EPS 40 0.220 0.220 0.220 EPS 41 0.220 0.220 0.220 EPS 42 0.220 0.220 0.220 EPS 43 0.220 0.220 0.220 EPS 44 0.220 0.220 0.220 EPS 45 0.220 0.220 0.220 EPS 46 0.220 0.220 0.220 EPS 47 0.220 0.220 0.220 EPS 48 0.220 0.220 0.220 EPS 49 0.220 0.220 0.220 EPS 50 0.220 0.220 0.220 EPS 51 0.220 0.220 0.220 EPS 52 0.220 0.220 0.220 EPS 53 0.220 0.220 0.220 EPS 54 0.220 0.220 0.220 EPS 55 0.220 0.220 0.220 EPS 56 0.220 0.220 0.220 EPS 57 0.220 0.220 0.220 EPS 58 0.220 0.220 0.220 EPS 59 0.220 0.220 0.220 EPS 60 0.220 0.220 0.220 EPS ---- VAR RI Real interest rate per annum LOWER LEVEL UPPER MARGINAL 1 -INF 0.057 +INF EPS 2 -INF 0.057 +INF EPS 3 -INF 0.055 +INF EPS 4 -INF 0.052 +INF EPS 5 -INF 0.050 +INF EPS 6 -INF 0.048 +INF EPS 7 -INF 0.046 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-INF 0.036 +INF EPS 52 -INF 0.036 +INF EPS 53 -INF 0.035 +INF EPS 54 -INF 0.035 +INF EPS 55 -INF 0.035 +INF EPS 56 -INF 0.035 +INF EPS 57 -INF 0.035 +INF EPS 58 -INF 0.035 +INF EPS 59 -INF 0.035 +INF EPS 60 -INF 0.036 +INF EPS ---- VAR Y Gross world product net of abatement and damages LOWER LEVEL UPPER MARGINAL 1 . 55.583 +INF -1.07E-21 2 . 69.487 +INF -8.52E-22 3 . 85.029 +INF -6.97E-22 4 . 102.082 +INF -5.80E-22 5 . 120.693 +INF -4.91E-22 6 . 141.017 +INF -4.20E-22 7 . 163.281 +INF -3.63E-22 8 . 187.758 +INF -3.15E-22 9 . 214.752 +INF -2.76E-22 10 . 244.596 +INF -2.42E-22 11 . 277.648 +INF -2.13E-22 12 . 314.332 +INF -1.88E-22 13 . 355.076 +INF -1.67E-22 14 . 400.341 +INF -1.48E-22 15 . 450.626 +INF -1.31E-22 16 . 506.478 +INF -1.17E-22 17 . 568.501 +INF -1.04E-22 18 . 637.364 +INF -9.29E-23 19 . 713.823 +INF -8.30E-23 20 . 798.744 +INF -7.41E-23 21 . 893.705 +INF -6.63E-23 22 . 1001.591 +INF -5.91E-23 23 . 1122.036 +INF -5.28E-23 24 . 1255.895 +INF -4.72E-23 25 . 1404.190 +INF -4.22E-23 26 . 1568.098 +INF -3.78E-23 27 . 1748.946 +INF -3.39E-23 28 . 1948.197 +INF -3.04E-23 29 . 2167.452 +INF -2.73E-23 30 . 2408.446 +INF -2.46E-23 31 . 2673.049 +INF -2.22E-23 32 . 2963.272 +INF -2.00E-23 33 . 3281.266 +INF -1.80E-23 34 . 3629.336 +INF -1.63E-23 35 . 4009.937 +INF -1.48E-23 36 . 4425.689 +INF -1.34E-23 37 . 4879.381 +INF -1.21E-23 38 . 5373.979 +INF -1.10E-23 39 . 5912.633 +INF -1.00E-23 40 . 6498.687 +INF -9.11E-24 41 . 7135.687 +INF -8.30E-24 42 . 7827.386 +INF -7.57E-24 43 . 8577.758 +INF -6.90E-24 44 . 9391.002 +INF -6.31E-24 45 . 10271.553 +INF -5.77E-24 46 . 11224.089 +INF -5.28E-24 47 . 12253.541 +INF -4.83E-24 48 . 13365.100 +INF -4.43E-24 49 . 14564.229 +INF -4.07E-24 50 . 15856.667 +INF -3.73E-24 51 . 17248.440 +INF -3.43E-24 52 . 18745.870 +INF -3.16E-24 53 . 20355.580 +INF -2.91E-24 54 . 22084.509 +INF -2.68E-24 55 . 23939.910 +INF -2.47E-24 56 . 25929.367 +INF -2.28E-24 57 . 28060.797 +INF -2.11E-24 58 . 30342.462 +INF -1.95E-24 59 . 32782.969 +INF -1.81E-24 60 . 35763.354 +INF -1.66E-24 ---- VAR YGROSS Gross world product GROSS of abatement and damages LOWER LEVEL UPPER MARGINAL 1 . 55.667 +INF -1.06E-21 2 . 69.685 +INF -8.50E-22 3 . 85.391 +INF -6.94E-22 4 . 102.688 +INF -5.77E-22 5 . 121.641 +INF -4.87E-22 6 . 142.428 +INF -4.16E-22 7 . 165.301 +INF -3.58E-22 8 . 190.559 +INF -3.11E-22 9 . 218.540 +INF -2.71E-22 10 . 249.611 +INF -2.37E-22 11 . 284.167 +INF -2.08E-22 12 . 322.636 +INF -1.84E-22 13 . 365.489 +INF -1.62E-22 14 . 413.228 +INF -1.43E-22 15 . 466.398 +INF -1.27E-22 16 . 525.584 +INF -1.13E-22 17 . 591.425 +INF -1.00E-22 18 . 664.614 +INF -8.91E-23 19 . 745.908 +INF -7.94E-23 20 . 836.135 +INF -7.08E-23 21 . 936.207 +INF -6.33E-23 22 . 1047.268 +INF -5.66E-23 23 . 1170.898 +INF -5.06E-23 24 . 1308.073 +INF -4.53E-23 25 . 1459.898 +INF -4.06E-23 26 . 1627.606 +INF -3.64E-23 27 . 1812.555 +INF -3.27E-23 28 . 2016.234 +INF -2.94E-23 29 . 2240.259 +INF -2.64E-23 30 . 2486.376 +INF -2.38E-23 31 . 2756.466 +INF -2.15E-23 32 . 3052.546 +INF -1.94E-23 33 . 3376.779 +INF -1.75E-23 34 . 3731.475 +INF -1.59E-23 35 . 4119.102 +INF -1.44E-23 36 . 4542.289 +INF -1.30E-23 37 . 5003.835 +INF -1.18E-23 38 . 5506.719 +INF -1.08E-23 39 . 6054.103 +INF -9.78E-24 40 . 6649.345 +INF -8.91E-24 41 . 7296.004 +INF -8.12E-24 42 . 7997.848 +INF -7.41E-24 43 . 8758.867 +INF -6.76E-24 44 . 9583.275 +INF -6.18E-24 45 . 10475.523 +INF -5.65E-24 46 . 11440.307 +INF -5.18E-24 47 . 12482.576 +INF -4.74E-24 48 . 13607.540 +INF -4.35E-24 49 . 14820.679 +INF -4.00E-24 50 . 16127.754 +INF -3.67E-24 51 . 17534.809 +INF -3.38E-24 52 . 19048.189 +INF -3.11E-24 53 . 20674.539 +INF -2.86E-24 54 . 22420.819 +INF -2.64E-24 55 . 24294.307 +INF -2.44E-24 56 . 26302.610 +INF -2.25E-24 57 . 28453.672 +INF -2.08E-24 58 . 30755.778 +INF -1.93E-24 59 . 33217.566 +INF -1.78E-24 60 . 35848.028 +INF -1.65E-24 ---- VAR YNET Output net of damages equation LOWER LEVEL UPPER MARGINAL 1 -INF 55.583 +INF EPS 2 -INF 69.507 +INF EPS 3 -INF 85.063 +INF EPS 4 -INF 102.139 +INF EPS 5 -INF 120.781 +INF EPS 6 -INF 141.149 +INF EPS 7 -INF 163.474 +INF EPS 8 -INF 188.034 +INF EPS 9 -INF 215.139 +INF EPS 10 -INF 245.132 +INF EPS 11 -INF 278.380 +INF EPS 12 -INF 315.323 +INF EPS 13 -INF 356.409 +INF EPS 14 -INF 402.125 +INF EPS 15 -INF 453.003 +INF EPS 16 -INF 509.638 +INF EPS 17 -INF 572.690 +INF EPS 18 -INF 642.911 +INF EPS 19 -INF 721.160 +INF EPS 20 -INF 808.431 +INF EPS 21 -INF 905.830 +INF EPS 22 -INF 1014.491 +INF EPS 23 -INF 1135.777 +INF EPS 24 -INF 1270.543 +INF EPS 25 -INF 1419.812 +INF EPS 26 -INF 1584.764 +INF EPS 27 -INF 1766.728 +INF EPS 28 -INF 1967.173 +INF EPS 29 -INF 2187.706 +INF EPS 30 -INF 2430.065 +INF EPS 31 -INF 2696.128 +INF EPS 32 -INF 2987.911 +INF EPS 33 -INF 3307.574 +INF EPS 34 -INF 3657.425 +INF EPS 35 -INF 4039.931 +INF EPS 36 -INF 4457.717 +INF EPS 37 -INF 4913.582 +INF EPS 38 -INF 5410.499 +INF EPS 39 -INF 5951.629 +INF EPS 40 -INF 6540.325 +INF EPS 41 -INF 7180.143 +INF EPS 42 -INF 7874.848 +INF EPS 43 -INF 8628.423 +INF EPS 44 -INF 9445.081 +INF EPS 45 -INF 10329.268 +INF EPS 46 -INF 11285.675 +INF EPS 47 -INF 12319.248 +INF EPS 48 -INF 13435.192 +INF EPS 49 -INF 14638.984 +INF EPS 50 -INF 15936.379 +INF EPS 51 -INF 17333.420 +INF EPS 52 -INF 18836.445 +INF EPS 53 -INF 20452.096 +INF EPS 54 -INF 22187.330 +INF EPS 55 -INF 24049.420 +INF EPS 56 -INF 26045.969 +INF EPS 57 -INF 28184.917 +INF EPS 58 -INF 30474.545 +INF EPS 59 -INF 32923.485 +INF EPS 60 -INF 35763.354 +INF EPS ---- VAR DAMAGES Damages LOWER LEVEL UPPER MARGINAL 1 -INF 0.084 +INF EPS 2 -INF 0.178 +INF EPS 3 -INF 0.328 +INF EPS 4 -INF 0.549 +INF EPS 5 -INF 0.860 +INF EPS 6 -INF 1.279 +INF EPS 7 -INF 1.827 +INF EPS 8 -INF 2.526 +INF EPS 9 -INF 3.401 +INF EPS 10 -INF 4.479 +INF EPS 11 -INF 5.787 +INF EPS 12 -INF 7.313 +INF EPS 13 -INF 9.080 +INF EPS 14 -INF 11.104 +INF EPS 15 -INF 13.394 +INF EPS 16 -INF 15.946 +INF EPS 17 -INF 18.734 +INF EPS 18 -INF 21.702 +INF EPS 19 -INF 24.748 +INF EPS 20 -INF 27.704 +INF EPS 21 -INF 30.376 +INF EPS 22 -INF 32.778 +INF EPS 23 -INF 35.120 +INF EPS 24 -INF 37.530 +INF EPS 25 -INF 40.087 +INF EPS 26 -INF 42.842 +INF EPS 27 -INF 45.828 +INF EPS 28 -INF 49.061 +INF EPS 29 -INF 52.554 +INF EPS 30 -INF 56.311 +INF EPS 31 -INF 60.337 +INF EPS 32 -INF 64.635 +INF EPS 33 -INF 69.205 +INF EPS 34 -INF 74.050 +INF EPS 35 -INF 79.171 +INF EPS 36 -INF 84.572 +INF EPS 37 -INF 90.253 +INF EPS 38 -INF 96.220 +INF EPS 39 -INF 102.474 +INF EPS 40 -INF 109.020 +INF EPS 41 -INF 115.861 +INF EPS 42 -INF 123.000 +INF EPS 43 -INF 130.443 +INF EPS 44 -INF 138.194 +INF EPS 45 -INF 146.255 +INF EPS 46 -INF 154.632 +INF EPS 47 -INF 163.328 +INF EPS 48 -INF 172.348 +INF EPS 49 -INF 181.696 +INF EPS 50 -INF 191.375 +INF EPS 51 -INF 201.390 +INF EPS 52 -INF 211.744 +INF EPS 53 -INF 222.443 +INF EPS 54 -INF 233.489 +INF EPS 55 -INF 244.887 +INF EPS 56 -INF 256.641 +INF EPS 57 -INF 268.755 +INF EPS 58 -INF 281.233 +INF EPS 59 -INF 294.080 +INF EPS 60 -INF 84.674 +INF EPS ---- VAR ABATECOST Cost of emissions reductions LOWER LEVEL UPPER MARGINAL 1 -INF 1.3292E-5 +INF EPS 2 -INF 0.020 +INF EPS 3 -INF 0.035 +INF EPS 4 -INF 0.057 +INF EPS 5 -INF 0.088 +INF EPS 6 -INF 0.133 +INF EPS 7 -INF 0.195 +INF EPS 8 -INF 0.279 +INF EPS 9 -INF 0.393 +INF EPS 10 -INF 0.545 +INF EPS 11 -INF 0.747 +INF EPS 12 -INF 1.014 +INF EPS 13 -INF 1.367 +INF EPS 14 -INF 1.833 +INF EPS 15 -INF 2.448 +INF EPS 16 -INF 3.258 +INF EPS 17 -INF 4.326 +INF EPS 18 -INF 5.735 +INF EPS 19 -INF 7.588 +INF EPS 20 -INF 10.018 +INF EPS 21 -INF 12.532 +INF EPS 22 -INF 13.317 +INF EPS 23 -INF 14.166 +INF EPS 24 -INF 15.081 +INF EPS 25 -INF 16.063 +INF EPS 26 -INF 17.116 +INF EPS 27 -INF 18.243 +INF EPS 28 -INF 19.450 +INF EPS 29 -INF 20.740 +INF EPS 30 -INF 22.120 +INF EPS 31 -INF 23.595 +INF EPS 32 -INF 25.172 +INF EPS 33 -INF 26.858 +INF EPS 34 -INF 28.658 +INF EPS 35 -INF 30.582 +INF EPS 36 -INF 32.636 +INF EPS 37 -INF 34.829 +INF EPS 38 -INF 37.170 +INF EPS 39 -INF 39.668 +INF EPS 40 -INF 42.332 +INF EPS 41 -INF 45.174 +INF EPS 42 -INF 48.203 +INF EPS 43 -INF 51.431 +INF EPS 44 -INF 54.870 +INF EPS 45 -INF 58.532 +INF EPS 46 -INF 62.430 +INF EPS 47 -INF 66.578 +INF EPS 48 -INF 70.991 +INF EPS 49 -INF 75.683 +INF EPS 50 -INF 80.669 +INF EPS 51 -INF 85.967 +INF EPS 52 -INF 91.593 +INF EPS 53 -INF 97.566 +INF EPS 54 -INF 103.903 +INF EPS 55 -INF 110.625 +INF EPS 56 -INF 117.751 +INF EPS 57 -INF 125.303 +INF EPS 58 -INF 133.302 +INF EPS 59 -INF 141.771 +INF EPS 60 -INF -8.33E-10 +INF EPS ---- VAR CCA Cumulative industrial carbon emissions GTC LOWER LEVEL UPPER MARGINAL 1 . . 6000.000 -5.92E-10 2 . 85.320 6000.000 -6.84E-22 3 . 168.708 6000.000 -3.41E-22 4 . 259.321 6000.000 -2.18E-22 5 . 356.343 6000.000 -1.56E-22 6 . 458.921 6000.000 -1.18E-22 7 . 566.235 6000.000 -9.37E-23 8 . 677.495 6000.000 -7.63E-23 9 . 791.920 6000.000 -6.34E-23 10 . 908.696 6000.000 -5.35E-23 11 . 1026.936 6000.000 -4.58E-23 12 . 1145.638 6000.000 -3.95E-23 13 . 1263.613 6000.000 -3.44E-23 14 . 1379.423 6000.000 -3.01E-23 15 . 1491.321 6000.000 -2.66E-23 16 . 1597.177 6000.000 -2.36E-23 17 . 1694.408 6000.000 -2.12E-23 18 . 1779.882 6000.000 -1.92E-23 19 . 1849.826 6000.000 -1.77E-23 20 . 1899.736 6000.000 -1.67E-23 21 . 1924.363 6000.000 -1.62E-23 22 . 1925.700 6000.000 -1.62E-23 23 . 1926.904 6000.000 -1.62E-23 24 . 1927.987 6000.000 -1.62E-23 25 . 1928.962 6000.000 -1.62E-23 26 . 1929.839 6000.000 -1.61E-23 27 . 1930.629 6000.000 -1.61E-23 28 . 1931.340 6000.000 -1.61E-23 29 . 1931.979 6000.000 -1.61E-23 30 . 1932.555 6000.000 -1.61E-23 31 . 1933.073 6000.000 -1.61E-23 32 . 1933.539 6000.000 -1.61E-23 33 . 1933.959 6000.000 -1.61E-23 34 . 1934.337 6000.000 -1.61E-23 35 . 1934.677 6000.000 -1.60E-23 36 . 1934.983 6000.000 -1.60E-23 37 . 1935.258 6000.000 -1.60E-23 38 . 1935.506 6000.000 -1.60E-23 39 . 1935.729 6000.000 -1.60E-23 40 . 1935.930 6000.000 -1.60E-23 41 . 1936.110 6000.000 -1.60E-23 42 . 1936.273 6000.000 -1.60E-23 43 . 1936.419 6000.000 -1.60E-23 44 . 1936.551 6000.000 -1.60E-23 45 . 1936.669 6000.000 -1.60E-23 46 . 1936.776 6000.000 -1.60E-23 47 . 1936.872 6000.000 -1.60E-23 48 . 1936.959 6000.000 -1.60E-23 49 . 1937.036 6000.000 -1.60E-23 50 . 1937.106 6000.000 -1.60E-23 51 . 1937.169 6000.000 -1.60E-23 52 . 1937.226 6000.000 -1.60E-23 53 . 1937.277 6000.000 -1.60E-23 54 . 1937.323 6000.000 -1.60E-23 55 . 1937.364 6000.000 -1.60E-23 56 . 1937.401 6000.000 -1.60E-23 57 . 1937.435 6000.000 -1.60E-23 58 . 1937.465 6000.000 -1.60E-23 59 . 1937.492 6000.000 -1.60E-23 60 . 1937.517 6000.000 -1.60E-23 ---- VAR PERIODU One period utility function LOWER LEVEL UPPER MARGINAL 1 -INF -149.250 +INF EPS 2 -INF -130.552 +INF EPS 3 -INF -113.051 +INF EPS 4 -INF -97.840 +INF EPS 5 -INF -84.889 +INF EPS 6 -INF -73.891 +INF EPS 7 -INF -64.520 +INF EPS 8 -INF -56.494 +INF EPS 9 -INF -49.584 +INF EPS 10 -INF -43.608 +INF EPS 11 -INF -38.420 +INF EPS 12 -INF -33.895 +INF EPS 13 -INF -29.939 +INF EPS 14 -INF -26.470 +INF EPS 15 -INF -23.423 +INF EPS 16 -INF -20.742 +INF EPS 17 -INF -18.377 +INF EPS 18 -INF -16.288 +INF EPS 19 -INF -14.439 +INF EPS 20 -INF -12.799 +INF EPS 21 -INF -11.334 +INF EPS 22 -INF -10.006 +INF EPS 23 -INF -8.825 +INF EPS 24 -INF -7.778 +INF EPS 25 -INF -6.852 +INF EPS 26 -INF -6.031 +INF EPS 27 -INF -5.304 +INF EPS 28 -INF -4.659 +INF EPS 29 -INF -4.087 +INF EPS 30 -INF -3.578 +INF EPS 31 -INF -3.125 +INF EPS 32 -INF -2.721 +INF EPS 33 -INF -2.360 +INF EPS 34 -INF -2.038 +INF EPS 35 -INF -1.750 +INF EPS 36 -INF -1.491 +INF EPS 37 -INF -1.260 +INF EPS 38 -INF -1.052 +INF EPS 39 -INF -0.865 +INF EPS 40 -INF -0.697 +INF EPS 41 -INF -0.545 +INF EPS 42 -INF -0.409 +INF EPS 43 -INF -0.285 +INF EPS 44 -INF -0.174 +INF EPS 45 -INF -0.073 +INF EPS 46 -INF 0.018 +INF EPS 47 -INF 0.100 +INF EPS 48 -INF 0.175 +INF EPS 49 -INF 0.243 +INF EPS 50 -INF 0.305 +INF EPS 51 -INF 0.361 +INF EPS 52 -INF 0.412 +INF EPS 53 -INF 0.458 +INF EPS 54 -INF 0.501 +INF EPS 55 -INF 0.539 +INF EPS 56 -INF 0.575 +INF EPS 57 -INF 0.607 +INF EPS 58 -INF 0.637 +INF EPS 59 -INF 0.664 +INF EPS 60 -INF 0.692 +INF EPS LOWER LEVEL UPPER MARGINAL ---- VAR UTILITY -INF 1.5016E+5 +INF . **** REPORT SUMMARY : 0 NONOPT 0 INFEASIBLE 0 UNBOUNDED 0 ERRORS GAMS Rev 237 LEX-LEG 23.7.1 x86_64/Linux 09/14/11 00:07:33 Page 10 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Model Statistics SOLVE CO2 Using NLP From line 310 MODEL STATISTICS BLOCKS OF EQUATIONS 30 SINGLE EQUATIONS 1,263 BLOCKS OF VARIABLES 24 SINGLE VARIABLES 1,381 NON ZERO ELEMENTS 3,767 NON LINEAR N-Z 1,080 DERIVATIVE POOL 6 CONSTANT POOL 327 CODE LENGTH 5,643 GENERATION TIME = 0.004 SECONDS 3 Mb LEX237-237 Jul 7, 2011 EXECUTION TIME = 0.009 SECONDS 3 Mb LEX237-237 Jul 7, 2011 GAMS Rev 237 LEX-LEG 23.7.1 x86_64/Linux 09/14/11 00:07:33 Page 11 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Solution Report SOLVE CO2 Using NLP From line 310 S O L V E S U M M A R Y MODEL CO2 OBJECTIVE UTILITY TYPE NLP DIRECTION MAXIMIZE SOLVER COINIPOPT FROM LINE 310 **** SOLVER STATUS 1 Normal Completion **** MODEL STATUS 2 Locally Optimal **** OBJECTIVE VALUE 150164.5594 RESOURCE USAGE, LIMIT 0.889 99999.000 ITERATION COUNT, LIMIT 57 99900 EVALUATION ERRORS 0 0 COIN-OR Ipopt Jul 14, 2011 23.7.1 LEX 26788.26792 LEG x86_64/Linux ---- EQU CCTFIRST First period cumulative carbon LOWER LEVEL UPPER MARGINAL 1 . . . 5.922E-10 ---- EQU CCACCA Cumulative carbon emissions LOWER LEVEL UPPER MARGINAL 2 . . . 2.721E-21 3 . . . 2.037E-21 4 . . . 1.696E-21 5 . . . 1.478E-21 6 . . . 1.322E-21 7 . . . 1.204E-21 8 . . . 1.110E-21 9 . . . 1.034E-21 10 . . . 9.703E-22 11 . . . 9.168E-22 12 . . . 8.710E-22 13 . . . 8.315E-22 14 . . . 7.972E-22 15 . . . 7.671E-22 16 . . . 7.405E-22 17 . . . 7.169E-22 18 . . . 6.957E-22 19 . . . 6.764E-22 20 . . . 6.587E-22 21 . . . 6.419E-22 22 . . . 6.257E-22 23 . . . 6.095E-22 24 . . . 5.933E-22 25 . . . 5.771E-22 26 . . . 5.610E-22 27 . . . 5.448E-22 28 . . . 5.287E-22 29 . . . 5.126E-22 30 . . . 4.965E-22 31 . . . 4.804E-22 32 . . . 4.643E-22 33 . . . 4.483E-22 34 . . . 4.322E-22 35 . . . 4.162E-22 36 . . . 4.001E-22 37 . . . 3.841E-22 38 . . . 3.680E-22 39 . . . 3.520E-22 40 . . . 3.360E-22 41 . . . 3.200E-22 42 . . . 3.040E-22 43 . . . 2.879E-22 44 . . . 2.719E-22 45 . . . 2.559E-22 46 . . . 2.399E-22 47 . . . 2.239E-22 48 . . . 2.079E-22 49 . . . 1.919E-22 50 . . . 1.759E-22 51 . . . 1.599E-22 52 . . . 1.439E-22 53 . . . 1.279E-22 54 . . . 1.119E-22 55 . . . 9.594E-23 56 . . . 7.995E-23 57 . . . 6.396E-23 58 . . . 4.797E-23 59 . . . 3.198E-23 60 . . . 1.599E-23 LOWER LEVEL UPPER MARGINAL ---- EQU UTIL 3.8180E+5 3.8180E+5 3.8180E+5 1.000 UTIL Objective function ---- EQU YY Output net equation LOWER LEVEL UPPER MARGINAL 1 . . . 1171.331 2 . . . 765.926 3 . . . 493.212 4 . . . 318.074 5 . . . 206.510 6 . . . 135.112 7 . . . 89.038 8 . . . 59.050 9 . . . 39.380 10 . . . 26.388 11 . . . 17.758 12 . . . 11.993 13 . . . 8.126 14 . . . 5.522 15 . . . 3.763 16 . . . 2.571 17 . . . 1.761 18 . . . 1.208 19 . . . 0.831 20 . . . 0.572 21 . . . 0.394 22 . . . 0.270 23 . . . 0.186 24 . . . 0.128 25 . . . 0.088 26 . . . 0.061 27 . . . 0.042 28 . . . 0.029 29 . . . 0.020 30 . . . 0.014 31 . . . 0.010 32 . . . 0.007 33 . . . 0.005 34 . . . 0.003 35 . . . 0.002 36 . . . 0.002 37 . . . 0.001 38 . -1.023E-8 . 8.7205E-4 39 . -1.092E-8 . 6.2094E-4 40 . -1.166E-8 . 4.4304E-4 41 . -1.245E-8 . 3.1674E-4 42 . -1.329E-8 . 2.2689E-4 43 . -1.419E-8 . 1.6285E-4 44 . -1.514E-8 . 1.1710E-4 45 . -1.616E-8 . 8.4372E-5 46 . -1.724E-8 . 6.0903E-5 47 . -1.839E-8 . 4.4044E-5 48 . -1.963E-8 . 3.1911E-5 49 . -2.093E-8 . 2.3162E-5 50 . -2.232E-8 . 1.6842E-5 51 . -2.380E-8 . 1.2267E-5 52 . -2.536E-8 . 8.9506E-6 53 . -2.703E-8 . 6.5408E-6 54 . -2.879E-8 . 4.7861E-6 55 . -3.066E-8 . 3.5047E-6 56 . -3.265E-8 . 2.5646E-6 57 . -3.475E-8 . 1.8693E-6 58 . -3.699E-8 . 1.3461E-6 59 . -3.935E-8 . 9.3789E-7 60 . . . 5.8514E-7 ---- EQU YNETEQ Output net of damages equation LOWER LEVEL UPPER MARGINAL 1 . . . EPS 2 . . . EPS 3 . . . EPS 4 . . . EPS 5 . . . EPS 6 . . . EPS 7 . . . EPS 8 . . . EPS 9 . . . EPS 10 . . . EPS 11 . . . EPS 12 . . . EPS 13 . . . EPS 14 . . . EPS 15 . . . EPS 16 . . . EPS 17 . . . EPS 18 . . . EPS 19 . . . EPS 20 . . . EPS 21 . . . EPS 22 . . . EPS 23 . . . EPS 24 . . . EPS 25 . . . EPS 26 . . . EPS 27 . . . EPS 28 . . . EPS 29 . . . EPS 30 . . . EPS 31 . . . EPS 32 . . . EPS 33 . . . EPS 34 . . . EPS 35 . . . EPS 36 . . . EPS 37 . . . EPS 38 . . . EPS 39 . . . EPS 40 . . . EPS 41 . . . EPS 42 . . . EPS 43 . . . EPS 44 . . . EPS 45 . . . EPS 46 . . . EPS 47 . . . EPS 48 . . . EPS 49 . . . EPS 50 . . . EPS 51 . . . EPS 52 . . . EPS 53 . . . EPS 54 . . . EPS 55 . . . EPS 56 . . . EPS 57 . . . EPS 58 . . . EPS 59 . . . EPS 60 . . . EPS ---- EQU YGROSSEQ Output gross equation LOWER LEVEL UPPER MARGINAL 1 . . . 1169.558 2 . . . 763.742 3 . . . 491.118 4 . . . 316.199 5 . . . 204.902 6 . . . 133.773 7 . . . 87.950 8 . . . 58.182 9 . . . 38.697 10 . . . 25.858 11 . . . 17.351 12 . . . 11.684 13 . . . 7.894 14 . . . 5.350 15 . . . 3.636 16 . . . 2.477 17 . . . 1.692 18 . . . 1.159 19 . . . 0.795 20 . . . 0.546 21 . . . 0.376 22 . . . 0.258 23 . . . 0.178 24 . . . 0.123 25 . . . 0.085 26 . . . 0.059 27 . . . 0.041 28 . . . 0.028 29 . . . 0.020 30 . . . 0.014 31 . . . 0.010 32 . . . 0.007 33 . . . 0.005 34 . . . 0.003 35 . . . 0.002 36 . . . 0.002 37 . . . 0.001 38 . . . 8.5103E-4 39 . . . 6.0643E-4 40 . . . 4.3300E-4 41 . . . 3.0978E-4 42 . . . 2.2205E-4 43 . . . 1.5948E-4 44 . . . 1.1476E-4 45 . . . 8.2730E-5 46 . . . 5.9752E-5 47 . . . 4.3236E-5 48 . . . 3.1342E-5 49 . . . 2.2761E-5 50 . . . 1.6558E-5 51 . . . 1.2067E-5 52 . . . 8.8085E-6 53 . . . 6.4399E-6 54 . . . 4.7143E-6 55 . . . 3.4535E-6 56 . . . 2.5282E-6 57 . . . 1.8435E-6 58 . . . 1.3280E-6 59 . . . 9.2562E-7 60 . . . 5.8376E-7 ---- EQU DAMEQ Damage equation LOWER LEVEL UPPER MARGINAL 1 . . . EPS 2 . . . EPS 3 . . . EPS 4 . . . EPS 5 . . . EPS 6 . . . EPS 7 . . . EPS 8 . . . EPS 9 . . . EPS 10 . . . EPS 11 . . . EPS 12 . . . EPS 13 . . . EPS 14 . . . EPS 15 . . . EPS 16 . . . EPS 17 . . . EPS 18 . . . EPS 19 . . . EPS 20 . . . EPS 21 . . . EPS 22 . . . EPS 23 . . . EPS 24 . . . EPS 25 . . . EPS 26 . . . EPS 27 . . . EPS 28 . . . EPS 29 . . . EPS 30 . . . EPS 31 . . . EPS 32 . . . EPS 33 . . . EPS 34 . . . EPS 35 . . . EPS 36 . . . EPS 37 . . . EPS 38 . . . EPS 39 . . . EPS 40 . . . EPS 41 . . . EPS 42 . . . EPS 43 . . . EPS 44 . . . EPS 45 . . . EPS 46 . . . EPS 47 . . . EPS 48 . . . EPS 49 . . . EPS 50 . . . EPS 51 . . . EPS 52 . . . EPS 53 . . . EPS 54 . . . EPS 55 . . . EPS 56 . . . EPS 57 . . . EPS 58 . . . EPS 59 . . . EPS 60 . . . EPS ---- EQU ABATEEQ Cost of emissions reductions equation LOWER LEVEL UPPER MARGINAL 1 . . . EPS 2 . . . EPS 3 . . . EPS 4 . . . EPS 5 . . . EPS 6 . . . EPS 7 . . . EPS 8 . . . EPS 9 . . . EPS 10 . . . EPS 11 . . . EPS 12 . . . EPS 13 . . . EPS 14 . . . EPS 15 . . . EPS 16 . . . EPS 17 . . . EPS 18 . . . EPS 19 . . . EPS 20 . . . EPS 21 . . . EPS 22 . . . EPS 23 . . . EPS 24 . . . EPS 25 . . . EPS 26 . . . EPS 27 . . . EPS 28 . . . EPS 29 . . . EPS 30 . . . EPS 31 . . . EPS 32 . . . EPS 33 . . . EPS 34 . . . EPS 35 . . . EPS 36 . . . EPS 37 . . . EPS 38 . 1.0408E-8 . EPS 39 . 1.1107E-8 . EPS 40 . 1.1853E-8 . EPS 41 . 1.2649E-8 . EPS 42 . 1.3497E-8 . EPS 43 . 1.4401E-8 . EPS 44 . 1.5364E-8 . EPS 45 . 1.6389E-8 . EPS 46 . 1.7480E-8 . EPS 47 . 1.8642E-8 . EPS 48 . 1.9877E-8 . EPS 49 . 2.1191E-8 . EPS 50 . 2.2587E-8 . EPS 51 . 2.4071E-8 . EPS 52 . 2.5646E-8 . EPS 53 . 2.7318E-8 . EPS 54 . 2.9093E-8 . EPS 55 . 3.0975E-8 . EPS 56 . 3.2970E-8 . EPS 57 . 3.5085E-8 . EPS 58 . 3.7325E-8 . EPS 59 . 3.9696E-8 . EPS 60 . . . EPS ---- EQU CC Consumption equation LOWER LEVEL UPPER MARGINAL 1 . . . 1163.668 2 . . . 768.654 3 . . . 497.827 4 . . . 322.167 5 . . . 209.618 6 . . . 137.327 7 . . . 90.569 8 . . . 60.092 9 . . . 40.081 10 . . . 26.859 11 . . . 18.073 12 . . . 12.203 13 . . . 8.266 14 . . . 5.615 15 . . . 3.824 16 . . . 2.611 17 . . . 1.787 18 . . . 1.226 19 . . . 0.842 20 . . . 0.580 21 . . . 0.399 22 . . . 0.274 23 . . . 0.188 24 . . . 0.129 25 . . . 0.089 26 . . . 0.062 27 . . . 0.043 28 . . . 0.030 29 . . . 0.021 30 . . . 0.014 31 . . . 0.010 32 . . . 0.007 33 . . . 0.005 34 . . . 0.003 35 . . . 0.002 36 . . . 0.002 37 . . . 0.001 38 . . . 8.7898E-4 39 . . . 6.2567E-4 40 . . . 4.4627E-4 41 . . . 3.1895E-4 42 . . . 2.2840E-4 43 . . . 1.6388E-4 44 . . . 1.1781E-4 45 . . . 8.4855E-5 46 . . . 6.1233E-5 47 . . . 4.4269E-5 48 . . . 3.2064E-5 49 . . . 2.3266E-5 50 . . . 1.6913E-5 51 . . . 1.2316E-5 52 . . . 8.9849E-6 53 . . . 6.5659E-6 54 . . . 4.8065E-6 55 . . . 3.5245E-6 56 . . . 2.5888E-6 57 . . . 1.9047E-6 58 . . . 1.4037E-6 59 . . . 1.0361E-6 60 . . . 7.5018E-7 ---- EQU KK Capital balance equation LOWER LEVEL UPPER MARGINAL 1 -INF . . 119.850 2 -INF . . 75.625 3 -INF . . 47.685 4 -INF . . 30.356 5 -INF . . 19.549 6 -INF . . 12.726 7 -INF . . 8.361 8 -INF . . 5.536 9 -INF . . 3.689 10 -INF . . 2.472 11 -INF . . 1.664 12 -INF . . 1.125 13 -INF . . 0.763 14 -INF . . 0.519 15 -INF . . 0.355 16 -INF . . 0.243 17 -INF . . 0.167 18 -INF . . 0.115 19 -INF . . 0.079 20 -INF . . 0.054 21 -INF . . 0.037 22 -INF . . 0.026 23 -INF . . 0.018 24 -INF . . 0.012 25 -INF . . 0.008 26 -INF . . 0.006 27 -INF . . 0.004 28 -INF . . 0.003 29 -INF . . 0.002 30 -INF . . 0.001 31 -INF . . 9.6039E-4 32 -INF . . 6.7451E-4 33 -INF . . 4.7479E-4 34 -INF . . 3.3495E-4 35 -INF . . 2.3681E-4 36 -INF . . 1.6778E-4 37 -INF . . 1.1912E-4 38 -INF . . 8.4748E-5 39 -INF . . 6.0417E-5 40 -INF . . 4.3158E-5 41 -INF . . 3.0891E-5 42 -INF . . 2.2154E-5 43 -INF . . 1.5919E-5 44 -INF . . 1.1460E-5 45 -INF . . 8.2663E-6 46 -INF . . 5.9735E-6 47 -INF . . 4.3247E-6 48 -INF . . 3.1367E-6 49 -INF . . 2.2791E-6 50 -INF . . 1.6588E-6 51 -INF . . 1.2093E-6 52 -INF . . 8.8288E-7 53 -INF . . 6.4517E-7 54 -INF . . 4.7138E-7 55 -INF . . 3.4343E-7 56 -INF . . 2.4789E-7 57 -INF . . 1.7438E-7 58 -INF . . 1.1420E-7 59 -INF . . 5.8965E-8 60 -INF -1.158E+5 . -8.08E-26 ---- EQU KK0 Initial condition for capital LOWER LEVEL UPPER MARGINAL 1 137.000 137.000 137.000 183.833 ---- EQU KC Terminal condition for capital LOWER LEVEL UPPER MARGINAL 60 -INF -5738.559 . 9.728E-24 ---- EQU CPCE Per capita consumption definition LOWER LEVEL UPPER MARGINAL 1 . . . EPS 2 . . . EPS 3 . . . EPS 4 . . . EPS 5 . . . EPS 6 . . . EPS 7 . . . EPS 8 . . . EPS 9 . . . EPS 10 . . . EPS 11 . . . EPS 12 . . . EPS 13 . . . EPS 14 . . . EPS 15 . . . EPS 16 . . . EPS 17 . . . EPS 18 . . . EPS 19 . . . EPS 20 . . . EPS 21 . . . EPS 22 . . . EPS 23 . . . EPS 24 . . . EPS 25 . . . EPS 26 . . . EPS 27 . . . EPS 28 . . . EPS 29 . . . EPS 30 . . . EPS 31 . . . EPS 32 . . . EPS 33 . . . EPS 34 . . . EPS 35 . . . EPS 36 . . . EPS 37 . . . EPS 38 . . . EPS 39 . . . EPS 40 . . . EPS 41 . . . EPS 42 . . . EPS 43 . . . EPS 44 . . . EPS 45 . . . EPS 46 . . . EPS 47 . . . EPS 48 . . . EPS 49 . . . EPS 50 . . . EPS 51 . . . EPS 52 . . . EPS 53 . . . EPS 54 . . . EPS 55 . . . EPS 56 . . . EPS 57 . . . EPS 58 . . . EPS 59 . . . EPS 60 . . . EPS ---- EQU PCYE Per capita income definition LOWER LEVEL UPPER MARGINAL 1 . . . EPS 2 . . . EPS 3 . . . EPS 4 . . . EPS 5 . . . EPS 6 . . . EPS 7 . . . EPS 8 . . . EPS 9 . . . EPS 10 . . . EPS 11 . . . EPS 12 . . . EPS 13 . . . EPS 14 . . . EPS 15 . . . EPS 16 . . . EPS 17 . . . EPS 18 . . . EPS 19 . . . EPS 20 . . . EPS 21 . . . EPS 22 . . . EPS 23 . . . EPS 24 . . . EPS 25 . . . EPS 26 . . . EPS 27 . . . EPS 28 . . . EPS 29 . . . EPS 30 . . . EPS 31 . . . EPS 32 . . . EPS 33 . . . EPS 34 . . . EPS 35 . . . EPS 36 . . . EPS 37 . . . EPS 38 . . . EPS 39 . . . EPS 40 . . . EPS 41 . . . EPS 42 . . . EPS 43 . . . EPS 44 . . . EPS 45 . . . EPS 46 . . . EPS 47 . . . EPS 48 . . . EPS 49 . . . EPS 50 . . . EPS 51 . . . EPS 52 . . . EPS 53 . . . EPS 54 . . . EPS 55 . . . EPS 56 . . . EPS 57 . . . EPS 58 . . . EPS 59 . . . EPS 60 . . . EPS ---- EQU EE Emissions equation LOWER LEVEL UPPER MARGINAL 1 11.000 11.000 11.000 -3.215 2 9.900 9.900 9.900 -3.163 3 8.910 8.910 8.910 -2.598 4 8.019 8.019 8.019 -2.100 5 7.217 7.217 7.217 -1.679 6 6.495 6.495 6.495 -1.330 7 5.846 5.846 5.846 -1.048 8 5.261 5.261 5.261 -0.821 9 4.735 4.735 4.735 -0.641 10 4.262 4.262 4.262 -0.499 11 3.835 3.835 3.835 -0.388 12 3.452 3.452 3.452 -0.301 13 3.107 3.107 3.107 -0.233 14 2.796 2.796 2.796 -0.181 15 2.516 2.516 2.516 -0.141 16 2.265 2.265 2.265 -0.109 17 2.038 2.038 2.038 -0.085 18 1.834 1.834 1.834 -0.066 19 1.651 1.651 1.651 -0.052 20 1.486 1.486 1.486 -0.040 21 1.337 1.337 1.337 -0.031 22 1.204 1.204 1.204 -0.024 23 1.083 1.083 1.083 -0.019 24 0.975 0.975 0.975 -0.015 25 0.877 0.877 0.877 -0.011 26 0.790 0.790 0.790 -0.009 27 0.711 0.711 0.711 -0.007 28 0.640 0.640 0.640 -0.005 29 0.576 0.576 0.576 -0.004 30 0.518 0.518 0.518 -0.003 31 0.466 0.466 0.466 -0.002 32 0.420 0.420 0.420 -0.002 33 0.378 0.378 0.378 -0.002 34 0.340 0.340 0.340 -0.001 35 0.306 0.306 0.306 -9.202E-4 36 0.275 0.275 0.275 -7.183E-4 37 0.248 0.248 0.248 -5.610E-4 38 0.223 0.223 0.223 -4.384E-4 39 0.201 0.201 0.201 -3.427E-4 40 0.181 0.181 0.181 -2.680E-4 41 0.163 0.163 0.163 -2.097E-4 42 0.146 0.146 0.146 -1.641E-4 43 0.132 0.132 0.132 -1.284E-4 44 0.119 0.119 0.119 -1.004E-4 45 0.107 0.107 0.107 -7.851E-5 46 0.096 0.096 0.096 -6.133E-5 47 0.086 0.086 0.086 -4.784E-5 48 0.078 0.078 0.078 -3.724E-5 49 0.070 0.070 0.070 -2.890E-5 50 0.063 0.063 0.063 -2.232E-5 51 0.057 0.057 0.057 -1.713E-5 52 0.051 0.051 0.051 -1.302E-5 53 0.046 0.046 0.046 -9.751E-6 54 0.041 0.041 0.041 -7.148E-6 55 0.037 0.037 0.037 -5.071E-6 56 0.033 0.033 0.033 -3.415E-6 57 0.030 0.030 0.030 -2.110E-6 58 0.027 0.027 0.027 -1.119E-6 59 0.024 0.024 0.024 -4.387E-7 60 0.022 0.022 0.022 8.045E-24 ---- EQU SEQ Savings rate equation LOWER LEVEL UPPER MARGINAL 1 . . . -1936.027 2 . . . 861.920 3 . . . 1783.439 4 . . . 1899.055 5 . . . 1704.734 6 . . . 1419.982 7 . . . 1136.676 8 . . . 888.848 9 . . . 684.995 10 . . . 523.046 11 . . . 397.279 12 . . . 300.017 13 . . . 225.496 14 . . . 168.762 15 . . . 125.768 16 . . . 93.321 17 . . . 68.964 18 . . . 50.866 19 . . . 37.741 20 . . . 28.808 21 . . . 22.719 22 . . . 17.073 23 . . . 12.776 24 . . . 9.544 25 . . . 7.127 26 . . . 5.325 27 . . . 3.981 28 . . . 2.980 29 . . . 2.232 30 . . . 1.673 31 . . . 1.255 32 . . . 0.942 33 . . . 0.707 34 . . . 0.531 35 . . . 0.399 36 . . . 0.300 37 . . . 0.225 38 . . . 0.169 39 . . . 0.127 40 . . . 0.095 41 . . . 0.072 42 . . . 0.054 43 . . . 0.040 44 . . . 0.030 45 . . . 0.023 46 . . . 0.017 47 . . . 0.013 48 . . . 0.009 49 . . . 0.007 50 . . . 0.005 51 . . . 0.004 52 . . . 0.003 53 . . . 0.002 54 . . . 0.002 55 . . . 0.002 56 . . . 0.003 57 . . . 0.005 58 . . . 0.008 59 . . . 0.015 60 . . . 0.027 ---- EQU RIEQ Interest rate equation LOWER LEVEL UPPER MARGINAL 1 -0.065 -0.065 -0.065 EPS 2 -0.065 -0.065 -0.065 EPS 3 -0.065 -0.065 -0.065 EPS 4 -0.065 -0.065 -0.065 EPS 5 -0.065 -0.065 -0.065 EPS 6 -0.065 -0.065 -0.065 EPS 7 -0.065 -0.065 -0.065 EPS 8 -0.065 -0.065 -0.065 EPS 9 -0.065 -0.065 -0.065 EPS 10 -0.065 -0.065 -0.065 EPS 11 -0.065 -0.065 -0.065 EPS 12 -0.065 -0.065 -0.065 EPS 13 -0.065 -0.065 -0.065 EPS 14 -0.065 -0.065 -0.065 EPS 15 -0.065 -0.065 -0.065 EPS 16 -0.065 -0.065 -0.065 EPS 17 -0.065 -0.065 -0.065 EPS 18 -0.065 -0.065 -0.065 EPS 19 -0.065 -0.065 -0.065 EPS 20 -0.065 -0.065 -0.065 EPS 21 -0.065 -0.065 -0.065 EPS 22 -0.065 -0.065 -0.065 EPS 23 -0.065 -0.065 -0.065 EPS 24 -0.065 -0.065 -0.065 EPS 25 -0.065 -0.065 -0.065 EPS 26 -0.065 -0.065 -0.065 EPS 27 -0.065 -0.065 -0.065 EPS 28 -0.065 -0.065 -0.065 EPS 29 -0.065 -0.065 -0.065 EPS 30 -0.065 -0.065 -0.065 EPS 31 -0.065 -0.065 -0.065 EPS 32 -0.065 -0.065 -0.065 EPS 33 -0.065 -0.065 -0.065 EPS 34 -0.065 -0.065 -0.065 EPS 35 -0.065 -0.065 -0.065 EPS 36 -0.065 -0.065 -0.065 EPS 37 -0.065 -0.065 -0.065 EPS 38 -0.065 -0.065 -0.065 EPS 39 -0.065 -0.065 -0.065 EPS 40 -0.065 -0.065 -0.065 EPS 41 -0.065 -0.065 -0.065 EPS 42 -0.065 -0.065 -0.065 EPS 43 -0.065 -0.065 -0.065 EPS 44 -0.065 -0.065 -0.065 EPS 45 -0.065 -0.065 -0.065 EPS 46 -0.065 -0.065 -0.065 EPS 47 -0.065 -0.065 -0.065 EPS 48 -0.065 -0.065 -0.065 EPS 49 -0.065 -0.065 -0.065 EPS 50 -0.065 -0.065 -0.065 EPS 51 -0.065 -0.065 -0.065 EPS 52 -0.065 -0.065 -0.065 EPS 53 -0.065 -0.065 -0.065 EPS 54 -0.065 -0.065 -0.065 EPS 55 -0.065 -0.065 -0.065 EPS 56 -0.065 -0.065 -0.065 EPS 57 -0.065 -0.065 -0.065 EPS 58 -0.065 -0.065 -0.065 EPS 59 -0.065 -0.065 -0.065 EPS 60 -0.065 -0.065 -0.065 EPS ---- EQU FORCE Radiative forcing equation LOWER LEVEL UPPER MARGINAL 1 -0.060 -0.060 -0.060 EPS 2 -0.024 -0.024 -0.024 -162.038 3 0.012 0.012 0.012 -147.992 4 0.048 0.048 0.048 -130.476 5 0.084 0.084 0.084 -112.270 6 0.120 0.120 0.120 -94.906 7 0.156 0.156 0.156 -79.147 8 0.192 0.192 0.192 -65.299 9 0.228 0.228 0.228 -53.398 10 0.264 0.264 0.264 -43.336 11 0.300 0.300 0.300 -34.924 12 0.300 0.300 0.300 -27.947 13 0.300 0.300 0.300 -22.234 14 0.300 0.300 0.300 -17.599 15 0.300 0.300 0.300 -13.864 16 0.300 0.300 0.300 -10.868 17 0.300 0.300 0.300 -8.474 18 0.300 0.300 0.300 -6.569 19 0.300 0.300 0.300 -5.057 20 0.300 0.300 0.300 -3.865 21 0.300 0.300 0.300 -2.932 22 0.300 0.300 0.300 -2.215 23 0.300 0.300 0.300 -1.671 24 0.300 0.300 0.300 -1.262 25 0.300 0.300 0.300 -0.954 26 0.300 0.300 0.300 -0.723 27 0.300 0.300 0.300 -0.549 28 0.300 0.300 0.300 -0.418 29 0.300 0.300 0.300 -0.319 30 0.300 0.300 0.300 -0.244 31 0.300 0.300 0.300 -0.186 32 0.300 0.300 0.300 -0.143 33 0.300 0.300 0.300 -0.109 34 0.300 0.300 0.300 -0.084 35 0.300 0.300 0.300 -0.065 36 0.300 0.300 0.300 -0.050 37 0.300 0.300 0.300 -0.038 38 0.300 0.300 0.300 -0.030 39 0.300 0.300 0.300 -0.023 40 0.300 0.300 0.300 -0.018 41 0.300 0.300 0.300 -0.014 42 0.300 0.300 0.300 -0.011 43 0.300 0.300 0.300 -0.008 44 0.300 0.300 0.300 -0.006 45 0.300 0.300 0.300 -0.005 46 0.300 0.300 0.300 -0.004 47 0.300 0.300 0.300 -0.003 48 0.300 0.300 0.300 -0.002 49 0.300 0.300 0.300 -0.002 50 0.300 0.300 0.300 -0.001 51 0.300 0.300 0.300 -0.001 52 0.300 0.300 0.300 -8.500E-4 53 0.300 0.300 0.300 -6.600E-4 54 0.300 0.300 0.300 -5.103E-4 55 0.300 0.300 0.300 -3.912E-4 56 0.300 0.300 0.300 -2.948E-4 57 0.300 0.300 0.300 -2.148E-4 58 0.300 0.300 0.300 -1.457E-4 59 0.300 0.300 0.300 -8.313E-5 60 0.300 0.300 0.300 -2.381E-5 ---- EQU MMAT0 Starting atmospheric concentration LOWER LEVEL UPPER MARGINAL 1 808.900 808.900 808.900 -2.792 ---- EQU MMAT Atmospheric concentration equation LOWER LEVEL UPPER MARGINAL 2 . . . -3.215 3 . . . -3.163 4 . . . -2.598 5 . . . -2.100 6 . . . -1.679 7 . . . -1.330 8 . . . -1.048 9 . . . -0.821 10 . . . -0.641 11 . . . -0.499 12 . . . -0.388 13 . . . -0.301 14 . . . -0.233 15 . . . -0.181 16 . . . -0.141 17 . . . -0.109 18 . . . -0.085 19 . . . -0.066 20 . . . -0.052 21 . . . -0.040 22 . . . -0.031 23 . . . -0.024 24 . . . -0.019 25 . . . -0.015 26 . . . -0.011 27 . . . -0.009 28 . . . -0.007 29 . . . -0.005 30 . . . -0.004 31 . . . -0.003 32 . . . -0.002 33 . . . -0.002 34 . . . -0.002 35 . . . -0.001 36 . . . -9.202E-4 37 . . . -7.183E-4 38 . . . -5.610E-4 39 . . . -4.384E-4 40 . . . -3.427E-4 41 . . . -2.680E-4 42 . . . -2.097E-4 43 . . . -1.641E-4 44 . . . -1.284E-4 45 . . . -1.004E-4 46 . . . -7.851E-5 47 . . . -6.133E-5 48 . . . -4.784E-5 49 . . . -3.724E-5 50 . . . -2.890E-5 51 . . . -2.232E-5 52 . . . -1.713E-5 53 . . . -1.302E-5 54 . . . -9.751E-6 55 . . . -7.148E-6 56 . . . -5.071E-6 57 . . . -3.415E-6 58 . . . -2.110E-6 59 . . . -1.119E-6 60 . . . -4.387E-7 ---- EQU MMATAVEQ Average concentrations equation LOWER LEVEL UPPER MARGINAL 1 . . . 7.025E-23 2 . . . -1.003 3 . . . -0.872 4 . . . -0.732 5 . . . -0.600 6 . . . -0.485 7 . . . -0.387 8 . . . -0.307 9 . . . -0.241 10 . . . -0.189 11 . . . -0.148 12 . . . -0.115 13 . . . -0.089 14 . . . -0.069 15 . . . -0.053 16 . . . -0.041 17 . . . -0.032 18 . . . -0.025 19 . . . -0.019 20 . . . -0.015 21 . . . -0.012 22 . . . -0.009 23 . . . -0.007 24 . . . -0.006 25 . . . -0.004 26 . . . -0.003 27 . . . -0.003 28 . . . -0.002 29 . . . -0.002 30 . . . -0.001 31 . . . -9.418E-4 32 . . . -7.317E-4 33 . . . -5.690E-4 34 . . . -4.428E-4 35 . . . -3.449E-4 36 . . . -2.688E-4 37 . . . -2.097E-4 38 . . . -1.637E-4 39 . . . -1.278E-4 40 . . . -0.999E-4 41 . . . -7.813E-5 42 . . . -6.114E-5 43 . . . -4.788E-5 44 . . . -3.751E-5 45 . . . -2.941E-5 46 . . . -2.307E-5 47 . . . -1.811E-5 48 . . . -1.422E-5 49 . . . -1.117E-5 50 . . . -8.770E-6 51 . . . -6.887E-6 52 . . . -5.403E-6 53 . . . -4.230E-6 54 . . . -3.296E-6 55 . . . -2.547E-6 56 . . . -1.934E-6 57 . . . -1.419E-6 58 . . . -9.697E-7 59 . . . -5.572E-7 60 . . . -3.203E-7 ---- EQU MMU0 Initial shallow ocean concentration LOWER LEVEL UPPER MARGINAL 1 1255.000 1255.000 1255.000 -1.148 ---- EQU MMU Shallow ocean concentration LOWER LEVEL UPPER MARGINAL 2 . . . -0.980 3 . . . -0.788 4 . . . -0.627 5 . . . -0.495 6 . . . -0.389 7 . . . -0.305 8 . . . -0.238 9 . . . -0.185 10 . . . -0.144 11 . . . -0.112 12 . . . -0.087 13 . . . -0.067 14 . . . -0.052 15 . . . -0.041 16 . . . -0.032 17 . . . -0.025 18 . . . -0.019 19 . . . -0.015 20 . . . -0.012 21 . . . -0.009 22 . . . -0.007 23 . . . -0.005 24 . . . -0.004 25 . . . -0.003 26 . . . -0.003 27 . . . -0.002 28 . . . -0.002 29 . . . -0.001 30 . . . -9.297E-4 31 . . . -7.242E-4 32 . . . -5.645E-4 33 . . . -4.403E-4 34 . . . -3.436E-4 35 . . . -2.683E-4 36 . . . -2.096E-4 37 . . . -1.637E-4 38 . . . -1.280E-4 39 . . . -1.000E-4 40 . . . -7.818E-5 41 . . . -6.108E-5 42 . . . -4.770E-5 43 . . . -3.721E-5 44 . . . -2.898E-5 45 . . . -2.252E-5 46 . . . -1.745E-5 47 . . . -1.347E-5 48 . . . -1.033E-5 49 . . . -7.866E-6 50 . . . -5.927E-6 51 . . . -4.403E-6 52 . . . -3.210E-6 53 . . . -2.279E-6 54 . . . -1.561E-6 55 . . . -1.015E-6 56 . . . -6.125E-7 57 . . . -3.289E-7 58 . . . -1.452E-7 59 . . . -4.265E-8 60 . . . 4.079E-23 ---- EQU MML0 Initial lower ocean concentration LOWER LEVEL UPPER MARGINAL 1 18365.000 18365.000 18365.000 -0.014 ---- EQU MML Lower ocean concentration LOWER LEVEL UPPER MARGINAL 2 . . . -0.011 3 . . . -0.009 4 . . . -0.007 5 . . . -0.005 6 . . . -0.004 7 . . . -0.003 8 . . . -0.003 9 . . . -0.002 10 . . . -0.002 11 . . . -0.001 12 . . . -9.347E-4 13 . . . -7.270E-4 14 . . . -5.657E-4 15 . . . -4.402E-4 16 . . . -3.426E-4 17 . . . -2.665E-4 18 . . . -2.072E-4 19 . . . -1.610E-4 20 . . . -1.250E-4 21 . . . -9.706E-5 22 . . . -7.535E-5 23 . . . -5.853E-5 24 . . . -4.549E-5 25 . . . -3.537E-5 26 . . . -2.752E-5 27 . . . -2.143E-5 28 . . . -1.669E-5 29 . . . -1.301E-5 30 . . . -1.014E-5 31 . . . -7.905E-6 32 . . . -6.164E-6 33 . . . -4.806E-6 34 . . . -3.746E-6 35 . . . -2.918E-6 36 . . . -2.272E-6 37 . . . -1.767E-6 38 . . . -1.372E-6 39 . . . -1.063E-6 40 . . . -8.221E-7 41 . . . -6.336E-7 42 . . . -4.863E-7 43 . . . -3.715E-7 44 . . . -2.820E-7 45 . . . -2.124E-7 46 . . . -1.585E-7 47 . . . -1.168E-7 48 . . . -8.488E-8 49 . . . -6.054E-8 50 . . . -4.218E-8 51 . . . -2.854E-8 52 . . . -1.859E-8 53 . . . -1.152E-8 54 . . . -6.670E-9 55 . . . -3.514E-9 56 . . . -1.609E-9 57 . . . -5.85E-10 58 . . . -1.33E-10 59 . . . 5.150E-24 60 . . . 2.522E-24 ---- EQU TATMEQ Temperature-climate equation for atmosphere LOWER LEVEL UPPER MARGINAL 2 . . . -736.538 3 . . . -672.693 4 . . . -593.071 5 . . . -510.319 6 . . . -431.392 7 . . . -359.760 8 . . . -296.812 9 . . . -242.720 10 . . . -196.980 11 . . . -158.746 12 . . . -127.030 13 . . . -101.064 14 . . . -79.997 15 . . . -63.017 16 . . . -49.398 17 . . . -38.518 18 . . . -29.857 19 . . . -22.988 20 . . . -17.567 21 . . . -13.329 22 . . . -10.066 23 . . . -7.595 24 . . . -5.735 25 . . . -4.338 26 . . . -3.288 27 . . . -2.497 28 . . . -1.901 29 . . . -1.449 30 . . . -1.107 31 . . . -0.847 32 . . . -0.649 33 . . . -0.498 34 . . . -0.382 35 . . . -0.294 36 . . . -0.226 37 . . . -0.174 38 . . . -0.134 39 . . . -0.104 40 . . . -0.080 41 . . . -0.062 42 . . . -0.048 43 . . . -0.037 44 . . . -0.029 45 . . . -0.022 46 . . . -0.017 47 . . . -0.014 48 . . . -0.011 49 . . . -0.008 50 . . . -0.006 51 . . . -0.005 52 . . . -0.004 53 . . . -0.003 54 . . . -0.002 55 . . . -0.002 56 . . . -0.001 57 . . . -9.762E-4 58 . . . -6.623E-4 59 . . . -3.779E-4 60 . . . -1.082E-4 ---- EQU TATM0EQ Initial condition for atmospheric temperature LOWER LEVEL UPPER MARGINAL 1 0.731 0.731 0.731 -763.341 ---- EQU TOCEANEQ Temperature-climate equation for lower oceans LOWER LEVEL UPPER MARGINAL 2 . . . -219.446 3 . . . -184.261 4 . . . -152.756 5 . . . -125.342 6 . . . -101.969 7 . . . -82.342 8 . . . -66.055 9 . . . -52.669 10 . . . -41.756 11 . . . -32.925 12 . . . -25.833 13 . . . -20.171 14 . . . -15.675 15 . . . -12.122 16 . . . -9.328 17 . . . -7.143 18 . . . -5.444 19 . . . -4.134 20 . . . -3.131 21 . . . -2.370 22 . . . -1.795 23 . . . -1.362 24 . . . -1.035 25 . . . -0.788 26 . . . -0.602 27 . . . -0.460 28 . . . -0.352 29 . . . -0.270 30 . . . -0.207 31 . . . -0.159 32 . . . -0.122 33 . . . -0.094 34 . . . -0.073 35 . . . -0.056 36 . . . -0.043 37 . . . -0.033 38 . . . -0.026 39 . . . -0.020 40 . . . -0.016 41 . . . -0.012 42 . . . -0.009 43 . . . -0.007 44 . . . -0.006 45 . . . -0.004 46 . . . -0.003 47 . . . -0.003 48 . . . -0.002 49 . . . -0.002 50 . . . -0.001 51 . . . -8.580E-4 52 . . . -6.348E-4 53 . . . -4.598E-4 54 . . . -3.228E-4 55 . . . -2.163E-4 56 . . . -1.346E-4 57 . . . -7.385E-5 58 . . . -3.173E-5 59 . . . -7.144E-6 60 . . . 1.542E-20 ---- EQU TOCEAN0EQ Initial condition for lower ocean temperature LOWER LEVEL UPPER MARGINAL 1 0.007 0.007 0.007 -257.085 ---- EQU PERIODUEQ Instantaneous utility function equation LOWER LEVEL UPPER MARGINAL 1 1.000 1.000 1.000 335.773 2 1.000 1.000 1.000 316.686 3 1.000 1.000 1.000 289.492 4 1.000 1.000 1.000 259.533 5 1.000 1.000 1.000 229.757 6 1.000 1.000 1.000 201.694 7 1.000 1.000 1.000 176.051 8 1.000 1.000 1.000 153.069 9 1.000 1.000 1.000 132.727 10 1.000 1.000 1.000 114.872 11 1.000 1.000 1.000 99.289 12 1.000 1.000 1.000 85.740 13 1.000 1.000 1.000 73.993 14 1.000 1.000 1.000 63.826 15 1.000 1.000 1.000 55.038 16 1.000 1.000 1.000 47.450 17 1.000 1.000 1.000 40.902 18 1.000 1.000 1.000 35.253 19 1.000 1.000 1.000 30.382 20 1.000 1.000 1.000 26.183 21 1.000 1.000 1.000 22.563 22 1.000 1.000 1.000 19.443 23 1.000 1.000 1.000 16.754 24 1.000 1.000 1.000 14.437 25 1.000 1.000 1.000 12.440 26 1.000 1.000 1.000 10.719 27 1.000 1.000 1.000 9.237 28 1.000 1.000 1.000 7.959 29 1.000 1.000 1.000 6.858 30 1.000 1.000 1.000 5.909 31 1.000 1.000 1.000 5.092 32 1.000 1.000 1.000 4.388 33 1.000 1.000 1.000 3.781 34 1.000 1.000 1.000 3.258 35 1.000 1.000 1.000 2.807 36 1.000 1.000 1.000 2.419 37 1.000 1.000 1.000 2.084 38 1.000 1.000 1.000 1.796 39 1.000 1.000 1.000 1.547 40 1.000 1.000 1.000 1.333 41 1.000 1.000 1.000 1.149 42 1.000 1.000 1.000 0.990 43 1.000 1.000 1.000 0.853 44 1.000 1.000 1.000 0.735 45 1.000 1.000 1.000 0.633 46 1.000 1.000 1.000 0.546 47 1.000 1.000 1.000 0.470 48 1.000 1.000 1.000 0.405 49 1.000 1.000 1.000 0.349 50 1.000 1.000 1.000 0.301 51 1.000 1.000 1.000 0.259 52 1.000 1.000 1.000 0.223 53 1.000 1.000 1.000 0.192 54 1.000 1.000 1.000 0.166 55 1.000 1.000 1.000 0.143 56 1.000 1.000 1.000 0.123 57 1.000 1.000 1.000 0.106 58 1.000 1.000 1.000 0.091 59 1.000 1.000 1.000 0.079 60 1.000 1.000 1.000 0.068 ---- VAR MIU Emission control rate GHGs LOWER LEVEL UPPER MARGINAL 1 0.005 0.005 0.005 EPS 2 . 0.158 1.000 -3.04E-19 3 . 0.184 1.000 -2.49E-19 4 . 0.211 1.000 -2.05E-19 5 . 0.241 1.000 -1.68E-19 6 . 0.271 1.000 -1.37E-19 7 . 0.303 1.000 -1.10E-19 8 . 0.337 1.000 -8.63E-20 9 . 0.373 1.000 -6.45E-20 10 . 0.410 1.000 -4.40E-20 11 . 0.450 1.000 -2.41E-20 12 . 0.491 1.000 -4.10E-21 13 . 0.536 1.000 1.696E-20 14 . 0.583 1.000 4.031E-20 15 . 0.633 1.000 6.784E-20 16 . 0.687 1.000 1.029E-19 17 . 0.744 1.000 1.522E-19 18 . 0.806 1.000 2.322E-19 19 . 0.872 1.000 3.965E-19 20 . 0.943 1.000 9.796E-19 21 . 1.000 1.000 0.446 22 . 1.000 1.000 1.803 23 . 1.000 1.000 2.519 24 . 1.000 1.000 2.827 25 . 1.000 1.000 2.880 26 . 1.000 1.000 2.781 27 . 1.000 1.000 2.597 28 . 1.000 1.000 2.370 29 . 1.000 1.000 2.128 30 . 1.000 1.000 1.888 31 . 1.000 1.000 1.659 32 . 1.000 1.000 1.448 33 . 1.000 1.000 1.256 34 . 1.000 1.000 1.085 35 . 1.000 1.000 0.933 36 . 1.000 1.000 0.801 37 . 1.000 1.000 0.685 38 . 1.000 1.000 0.585 39 . 1.000 1.000 0.498 40 . 1.000 1.000 0.424 41 . 1.000 1.000 0.360 42 . 1.000 1.000 0.305 43 . 1.000 1.000 0.258 44 . 1.000 1.000 0.218 45 . 1.000 1.000 0.184 46 . 1.000 1.000 0.155 47 . 1.000 1.000 0.130 48 . 1.000 1.000 0.109 49 . 1.000 1.000 0.091 50 . 1.000 1.000 0.076 51 . 1.000 1.000 0.062 52 . 1.000 1.000 0.051 53 . 1.000 1.000 0.041 54 . 1.000 1.000 0.032 55 . 1.000 1.000 0.024 56 . 1.000 1.000 0.017 57 . 1.000 1.000 0.011 58 . 1.000 1.000 0.006 59 . 1.000 1.000 0.002 60 . 1.2277E-4 1.000 -1.58E-11 ---- VAR FORC Radiative forcing in watts per m2 LOWER LEVEL UPPER MARGINAL 1 -INF 1.791 +INF EPS 2 -INF 2.142 +INF EPS 3 -INF 2.453 +INF EPS 4 -INF 2.758 +INF EPS 5 -INF 3.056 +INF EPS 6 -INF 3.342 +INF EPS 7 -INF 3.615 +INF EPS 8 -INF 3.873 +INF EPS 9 -INF 4.118 +INF EPS 10 -INF 4.347 +INF EPS 11 -INF 4.560 +INF EPS 12 -INF 4.720 +INF EPS 13 -INF 4.861 +INF EPS 14 -INF 4.980 +INF EPS 15 -INF 5.075 +INF EPS 16 -INF 5.142 +INF EPS 17 -INF 5.174 +INF EPS 18 -INF 5.164 +INF EPS 19 -INF 5.102 +INF EPS 20 -INF 4.976 +INF EPS 21 -INF 4.784 +INF EPS 22 -INF 4.580 +INF EPS 23 -INF 4.410 +INF EPS 24 -INF 4.265 +INF EPS 25 -INF 4.139 +INF EPS 26 -INF 4.027 +INF EPS 27 -INF 3.925 +INF EPS 28 -INF 3.830 +INF EPS 29 -INF 3.742 +INF EPS 30 -INF 3.658 +INF EPS 31 -INF 3.578 +INF EPS 32 -INF 3.501 +INF EPS 33 -INF 3.426 +INF EPS 34 -INF 3.354 +INF EPS 35 -INF 3.284 +INF EPS 36 -INF 3.216 +INF EPS 37 -INF 3.149 +INF EPS 38 -INF 3.084 +INF EPS 39 -INF 3.021 +INF EPS 40 -INF 2.959 +INF EPS 41 -INF 2.898 +INF EPS 42 -INF 2.839 +INF EPS 43 -INF 2.782 +INF EPS 44 -INF 2.725 +INF EPS 45 -INF 2.670 +INF EPS 46 -INF 2.617 +INF EPS 47 -INF 2.565 +INF EPS 48 -INF 2.514 +INF EPS 49 -INF 2.464 +INF EPS 50 -INF 2.415 +INF EPS 51 -INF 2.368 +INF EPS 52 -INF 2.322 +INF EPS 53 -INF 2.277 +INF EPS 54 -INF 2.234 +INF EPS 55 -INF 2.191 +INF EPS 56 -INF 2.150 +INF EPS 57 -INF 2.109 +INF EPS 58 -INF 2.070 +INF EPS 59 -INF 2.032 +INF EPS 60 -INF -1.787 +INF EPS ---- VAR TATM Temperature of atmosphere in degrees C LOWER LEVEL UPPER MARGINAL 1 . 0.731 20.000 -7.80E-20 2 . 0.951 20.000 -5.92E-20 3 . 1.165 20.000 -4.77E-20 4 . 1.376 20.000 -3.98E-20 5 . 1.584 20.000 -3.42E-20 6 . 1.786 20.000 -2.99E-20 7 . 1.984 20.000 -2.66E-20 8 . 2.175 20.000 -2.39E-20 9 . 2.360 20.000 -2.17E-20 10 . 2.537 20.000 -2.00E-20 11 . 2.706 20.000 -1.85E-20 12 . 2.858 20.000 -1.73E-20 13 . 2.996 20.000 -1.63E-20 14 . 3.119 20.000 -1.55E-20 15 . 3.227 20.000 -1.48E-20 16 . 3.320 20.000 -1.43E-20 17 . 3.395 20.000 -1.39E-20 18 . 3.448 20.000 -1.36E-20 19 . 3.477 20.000 -1.34E-20 20 . 3.474 20.000 -1.35E-20 21 . 3.437 20.000 -1.37E-20 22 . 3.374 20.000 -1.40E-20 23 . 3.300 20.000 -1.44E-20 24 . 3.226 20.000 -1.48E-20 25 . 3.154 20.000 -1.53E-20 26 . 3.086 20.000 -1.57E-20 27 . 3.023 20.000 -1.61E-20 28 . 2.964 20.000 -1.65E-20 29 . 2.909 20.000 -1.69E-20 30 . 2.857 20.000 -1.73E-20 31 . 2.808 20.000 -1.76E-20 32 . 2.760 20.000 -1.80E-20 33 . 2.715 20.000 -1.84E-20 34 . 2.671 20.000 -1.88E-20 35 . 2.627 20.000 -1.91E-20 36 . 2.585 20.000 -1.95E-20 37 . 2.544 20.000 -1.99E-20 38 . 2.503 20.000 -2.03E-20 39 . 2.463 20.000 -2.07E-20 40 . 2.423 20.000 -2.11E-20 41 . 2.384 20.000 -2.15E-20 42 . 2.346 20.000 -2.19E-20 43 . 2.308 20.000 -2.23E-20 44 . 2.270 20.000 -2.27E-20 45 . 2.233 20.000 -2.32E-20 46 . 2.197 20.000 -2.36E-20 47 . 2.161 20.000 -2.41E-20 48 . 2.126 20.000 -2.45E-20 49 . 2.091 20.000 -2.50E-20 50 . 2.057 20.000 -2.55E-20 51 . 2.023 20.000 -2.60E-20 52 . 1.990 20.000 -2.65E-20 53 . 1.957 20.000 -2.70E-20 54 . 1.925 20.000 -2.75E-20 55 . 1.894 20.000 -2.80E-20 56 . 1.863 20.000 -2.85E-20 57 . 1.833 20.000 -2.91E-20 58 . 1.803 20.000 -2.96E-20 59 . 1.774 20.000 -3.01E-20 60 . 0.913 20.000 -6.17E-20 ---- VAR TOCEAN Temperatureof lower oceans degrees C LOWER LEVEL UPPER MARGINAL 1 -1.000 0.007 20.000 -5.59E-20 2 -1.000 0.043 20.000 -5.38E-20 3 -1.000 0.088 20.000 -5.14E-20 4 -1.000 0.142 20.000 -4.89E-20 5 -1.000 0.204 20.000 -4.62E-20 6 -1.000 0.273 20.000 -4.35E-20 7 -1.000 0.349 20.000 -4.09E-20 8 -1.000 0.430 20.000 -3.84E-20 9 -1.000 0.518 20.000 -3.60E-20 10 -1.000 0.610 20.000 -3.37E-20 11 -1.000 0.706 20.000 -3.16E-20 12 -1.000 0.806 20.000 -2.97E-20 13 -1.000 0.909 20.000 -2.79E-20 14 -1.000 1.013 20.000 -2.63E-20 15 -1.000 1.118 20.000 -2.48E-20 16 -1.000 1.224 20.000 -2.35E-20 17 -1.000 1.329 20.000 -2.23E-20 18 -1.000 1.432 20.000 -2.12E-20 19 -1.000 1.533 20.000 -2.02E-20 20 -1.000 1.630 20.000 -1.93E-20 21 -1.000 1.722 20.000 -1.85E-20 22 -1.000 1.808 20.000 -1.78E-20 23 -1.000 1.886 20.000 -1.73E-20 24 -1.000 1.957 20.000 -1.67E-20 25 -1.000 2.020 20.000 -1.63E-20 26 -1.000 2.077 20.000 -1.59E-20 27 -1.000 2.127 20.000 -1.56E-20 28 -1.000 2.172 20.000 -1.53E-20 29 -1.000 2.212 20.000 -1.51E-20 30 -1.000 2.247 20.000 -1.49E-20 31 -1.000 2.277 20.000 -1.47E-20 32 -1.000 2.304 20.000 -1.46E-20 33 -1.000 2.327 20.000 -1.45E-20 34 -1.000 2.346 20.000 -1.43E-20 35 -1.000 2.362 20.000 -1.43E-20 36 -1.000 2.375 20.000 -1.42E-20 37 -1.000 2.386 20.000 -1.41E-20 38 -1.000 2.394 20.000 -1.41E-20 39 -1.000 2.399 20.000 -1.41E-20 40 -1.000 2.402 20.000 -1.40E-20 41 -1.000 2.403 20.000 -1.40E-20 42 -1.000 2.403 20.000 -1.40E-20 43 -1.000 2.400 20.000 -1.41E-20 44 -1.000 2.395 20.000 -1.41E-20 45 -1.000 2.389 20.000 -1.41E-20 46 -1.000 2.381 20.000 -1.42E-20 47 -1.000 2.372 20.000 -1.42E-20 48 -1.000 2.361 20.000 -1.43E-20 49 -1.000 2.350 20.000 -1.43E-20 50 -1.000 2.337 20.000 -1.44E-20 51 -1.000 2.323 20.000 -1.45E-20 52 -1.000 2.308 20.000 -1.46E-20 53 -1.000 2.292 20.000 -1.46E-20 54 -1.000 2.275 20.000 -1.47E-20 55 -1.000 2.258 20.000 -1.48E-20 56 -1.000 2.239 20.000 -1.49E-20 57 -1.000 2.221 20.000 -1.51E-20 58 -1.000 2.201 20.000 -1.52E-20 59 -1.000 2.181 20.000 -1.53E-20 60 -1.000 2.161 20.000 -1.54E-20 ---- VAR MAT Carbon concentration in atmosphere GtC LOWER LEVEL UPPER MARGINAL 1 10.000 808.900 +INF -7.41E-23 2 10.000 863.108 +INF -6.94E-23 3 10.000 907.615 +INF -6.60E-23 4 10.000 954.046 +INF -6.27E-23 5 10.000 1001.582 +INF -5.97E-23 6 10.000 1049.507 +INF -5.70E-23 7 10.000 1097.239 +INF -5.45E-23 8 10.000 1144.301 +INF -5.22E-23 9 10.000 1190.270 +INF -5.02E-23 10 10.000 1234.726 +INF -4.84E-23 11 10.000 1277.209 +INF -4.67E-23 12 10.000 1317.180 +INF -4.53E-23 13 10.000 1353.969 +INF -4.41E-23 14 10.000 1386.732 +INF -4.30E-23 15 10.000 1414.417 +INF -4.22E-23 16 10.000 1435.729 +INF -4.15E-23 17 10.000 1449.086 +INF -4.12E-23 18 10.000 1452.574 +INF -4.11E-23 19 10.000 1443.893 +INF -4.13E-23 20 10.000 1420.329 +INF -4.20E-23 21 10.000 1378.787 +INF -4.33E-23 22 10.000 1323.823 +INF -4.51E-23 23 10.000 1280.089 +INF -4.66E-23 24 10.000 1244.333 +INF -4.80E-23 25 10.000 1214.294 +INF -4.92E-23 26 10.000 1188.395 +INF -5.03E-23 27 10.000 1165.537 +INF -5.13E-23 28 10.000 1144.951 +INF -5.22E-23 29 10.000 1126.098 +INF -5.31E-23 30 10.000 1108.600 +INF -5.39E-23 31 10.000 1092.188 +INF -5.47E-23 32 10.000 1076.673 +INF -5.55E-23 33 10.000 1061.917 +INF -5.63E-23 34 10.000 1047.822 +INF -5.71E-23 35 10.000 1034.312 +INF -5.78E-23 36 10.000 1021.335 +INF -5.86E-23 37 10.000 1008.847 +INF -5.93E-23 38 10.000 996.815 +INF -6.00E-23 39 10.000 985.213 +INF -6.07E-23 40 10.000 974.017 +INF -6.14E-23 41 10.000 963.209 +INF -6.21E-23 42 10.000 952.773 +INF -6.28E-23 43 10.000 942.692 +INF -6.35E-23 44 10.000 932.954 +INF -6.42E-23 45 10.000 923.546 +INF -6.48E-23 46 10.000 914.457 +INF -6.55E-23 47 10.000 905.674 +INF -6.61E-23 48 10.000 897.187 +INF -6.68E-23 49 10.000 888.987 +INF -6.74E-23 50 10.000 881.063 +INF -6.80E-23 51 10.000 873.407 +INF -6.86E-23 52 10.000 866.008 +INF -6.92E-23 53 10.000 858.859 +INF -6.98E-23 54 10.000 851.952 +INF -7.03E-23 55 10.000 845.277 +INF -7.09E-23 56 10.000 838.827 +INF -7.15E-23 57 10.000 832.596 +INF -7.20E-23 58 10.000 826.574 +INF -7.25E-23 59 10.000 820.756 +INF -7.30E-23 60 10.000 815.135 +INF -7.36E-23 ---- VAR MATAV Average concentrations LOWER LEVEL UPPER MARGINAL 1 . 836.004 +INF -7.08E-23 2 . 885.361 +INF -6.69E-23 3 . 930.830 +INF -6.36E-23 4 . 977.814 +INF -6.06E-23 5 . 1025.545 +INF -5.77E-23 6 . 1073.373 +INF -5.52E-23 7 . 1120.770 +INF -5.28E-23 8 . 1167.286 +INF -5.07E-23 9 . 1212.498 +INF -4.88E-23 10 . 1255.968 +INF -4.72E-23 11 . 1297.194 +INF -4.57E-23 12 . 1335.575 +INF -4.43E-23 13 . 1370.351 +INF -4.32E-23 14 . 1400.575 +INF -4.23E-23 15 . 1425.073 +INF -4.16E-23 16 . 1442.408 +INF -4.11E-23 17 . 1450.830 +INF -4.08E-23 18 . 1448.233 +INF -4.09E-23 19 . 1432.111 +INF -4.14E-23 20 . 1399.558 +INF -4.23E-23 21 . 1351.305 +INF -4.38E-23 22 . 1301.956 +INF -4.55E-23 23 . 1262.211 +INF -4.69E-23 24 . 1229.314 +INF -4.82E-23 25 . 1201.345 +INF -4.93E-23 26 . 1176.966 +INF -5.03E-23 27 . 1155.244 +INF -5.13E-23 28 . 1135.524 +INF -5.22E-23 29 . 1117.349 +INF -5.30E-23 30 . 1100.394 +INF -5.38E-23 31 . 1084.431 +INF -5.46E-23 32 . 1069.295 +INF -5.54E-23 33 . 1054.870 +INF -5.61E-23 34 . 1041.067 +INF -5.69E-23 35 . 1027.824 +INF -5.76E-23 36 . 1015.091 +INF -5.83E-23 37 . 1002.831 +INF -5.91E-23 38 . 991.014 +INF -5.98E-23 39 . 979.615 +INF -6.05E-23 40 . 968.613 +INF -6.11E-23 41 . 957.991 +INF -6.18E-23 42 . 947.732 +INF -6.25E-23 43 . 937.823 +INF -6.32E-23 44 . 928.250 +INF -6.38E-23 45 . 919.001 +INF -6.44E-23 46 . 910.065 +INF -6.51E-23 47 . 901.430 +INF -6.57E-23 48 . 893.087 +INF -6.63E-23 49 . 885.025 +INF -6.69E-23 50 . 877.235 +INF -6.75E-23 51 . 869.707 +INF -6.81E-23 52 . 862.434 +INF -6.87E-23 53 . 855.405 +INF -6.92E-23 54 . 848.614 +INF -6.98E-23 55 . 842.052 +INF -7.03E-23 56 . 835.712 +INF -7.09E-23 57 . 829.585 +INF -7.14E-23 58 . 823.665 +INF -7.19E-23 59 . 817.945 +INF -7.24E-23 60 . 407.567 +INF -1.45E-22 ---- VAR MU Carbon concentration in shallow oceans Gtc LOWER LEVEL UPPER MARGINAL 1 100.000 1255.000 +INF -5.13E-23 2 100.000 1280.635 +INF -5.02E-23 3 100.000 1312.775 +INF -4.88E-23 4 100.000 1348.628 +INF -4.74E-23 5 100.000 1388.018 +INF -4.60E-23 6 100.000 1430.640 +INF -4.45E-23 7 100.000 1476.095 +INF -4.30E-23 8 100.000 1523.939 +INF -4.16E-23 9 100.000 1573.698 +INF -4.02E-23 10 100.000 1624.892 +INF -3.88E-23 11 100.000 1677.030 +INF -3.76E-23 12 100.000 1729.608 +INF -3.63E-23 13 100.000 1782.094 +INF -3.52E-23 14 100.000 1833.906 +INF -3.42E-23 15 100.000 1884.390 +INF -3.32E-23 16 100.000 1932.787 +INF -3.23E-23 17 100.000 1978.207 +INF -3.15E-23 18 100.000 2019.588 +INF -3.09E-23 19 100.000 2055.665 +INF -3.03E-23 20 100.000 2084.919 +INF -2.98E-23 21 100.000 2105.545 +INF -2.95E-23 22 100.000 2115.413 +INF -2.94E-23 23 100.000 2113.569 +INF -2.94E-23 24 100.000 2103.864 +INF -2.96E-23 25 100.000 2088.965 +INF -2.98E-23 26 100.000 2070.717 +INF -3.01E-23 27 100.000 2050.392 +INF -3.04E-23 28 100.000 2028.871 +INF -3.07E-23 29 100.000 2006.754 +INF -3.11E-23 30 100.000 1984.454 +INF -3.14E-23 31 100.000 1962.251 +INF -3.18E-23 32 100.000 1940.332 +INF -3.22E-23 33 100.000 1918.821 +INF -3.26E-23 34 100.000 1897.798 +INF -3.29E-23 35 100.000 1877.313 +INF -3.33E-23 36 100.000 1857.393 +INF -3.37E-23 37 100.000 1838.052 +INF -3.41E-23 38 100.000 1819.296 +INF -3.44E-23 39 100.000 1801.119 +INF -3.48E-23 40 100.000 1783.516 +INF -3.52E-23 41 100.000 1766.476 +INF -3.55E-23 42 100.000 1749.985 +INF -3.59E-23 43 100.000 1734.031 +INF -3.62E-23 44 100.000 1718.600 +INF -3.66E-23 45 100.000 1703.676 +INF -3.69E-23 46 100.000 1689.244 +INF -3.73E-23 47 100.000 1675.290 +INF -3.76E-23 48 100.000 1661.799 +INF -3.79E-23 49 100.000 1648.756 +INF -3.82E-23 50 100.000 1636.148 +INF -3.86E-23 51 100.000 1623.960 +INF -3.89E-23 52 100.000 1612.179 +INF -3.92E-23 53 100.000 1600.792 +INF -3.95E-23 54 100.000 1589.786 +INF -3.98E-23 55 100.000 1579.149 +INF -4.00E-23 56 100.000 1568.868 +INF -4.03E-23 57 100.000 1558.933 +INF -4.06E-23 58 100.000 1549.330 +INF -4.09E-23 59 100.000 1540.051 +INF -4.11E-23 60 100.000 1531.083 +INF -4.14E-23 ---- VAR ML Carbon concentration in lower oceans GtC LOWER LEVEL UPPER MARGINAL 1 1000.000 18365.000 +INF -3.41E-24 2 1000.000 18370.477 +INF -3.41E-24 3 1000.000 18377.219 +INF -3.41E-24 4 1000.000 18385.547 +INF -3.41E-24 5 1000.000 18395.642 +INF -3.40E-24 6 1000.000 18407.675 +INF -3.40E-24 7 1000.000 18421.801 +INF -3.40E-24 8 1000.000 18438.156 +INF -3.40E-24 9 1000.000 18456.852 +INF -3.39E-24 10 1000.000 18477.978 +INF -3.39E-24 11 1000.000 18501.597 +INF -3.38E-24 12 1000.000 18527.750 +INF -3.38E-24 13 1000.000 18556.450 +INF -3.37E-24 14 1000.000 18587.685 +INF -3.37E-24 15 1000.000 18621.414 +INF -3.36E-24 16 1000.000 18657.561 +INF -3.35E-24 17 1000.000 18696.015 +INF -3.35E-24 18 1000.000 18736.620 +INF -3.34E-24 19 1000.000 18779.168 +INF -3.33E-24 20 1000.000 18823.387 +INF -3.32E-24 21 1000.000 18868.931 +INF -3.31E-24 22 1000.000 18915.364 +INF -3.31E-24 23 1000.000 18962.146 +INF 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-2.43E-18 60 . 6855.000 +INF -8.64E-24 ---- VAR C Consumption trillions US dollars LOWER LEVEL UPPER MARGINAL 1 20.000 43.354 +INF -2.54E-21 2 20.000 54.199 +INF -1.73E-21 3 20.000 66.322 +INF -1.28E-21 4 20.000 79.624 +INF -9.93E-22 5 20.000 94.141 +INF -7.99E-22 6 20.000 109.993 +INF -6.58E-22 7 20.000 127.359 +INF -5.52E-22 8 20.000 146.451 +INF -4.68E-22 9 20.000 167.506 +INF -4.02E-22 10 20.000 190.785 +INF -3.47E-22 11 20.000 216.565 +INF -3.01E-22 12 20.000 245.179 +INF -2.63E-22 13 20.000 276.959 +INF -2.30E-22 14 20.000 312.265 +INF -2.03E-22 15 20.000 351.488 +INF -1.79E-22 16 20.000 395.053 +INF -1.58E-22 17 20.000 443.430 +INF -1.40E-22 18 20.000 497.144 +INF -1.24E-22 19 20.000 556.782 +INF -1.10E-22 20 20.000 623.020 +INF -9.82E-23 21 20.000 697.090 +INF -8.75E-23 22 20.000 781.240 +INF -7.78E-23 23 20.000 875.188 +INF -6.93E-23 24 20.000 979.598 +INF -6.17E-23 25 20.000 1095.268 +INF -5.51E-23 26 20.000 1223.116 +INF -4.92E-23 27 20.000 1364.177 +INF -4.41E-23 28 20.000 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0.220 EPS 30 0.220 0.220 0.220 EPS 31 0.220 0.220 0.220 EPS 32 0.220 0.220 0.220 EPS 33 0.220 0.220 0.220 EPS 34 0.220 0.220 0.220 EPS 35 0.220 0.220 0.220 EPS 36 0.220 0.220 0.220 EPS 37 0.220 0.220 0.220 EPS 38 0.220 0.220 0.220 EPS 39 0.220 0.220 0.220 EPS 40 0.220 0.220 0.220 EPS 41 0.220 0.220 0.220 EPS 42 0.220 0.220 0.220 EPS 43 0.220 0.220 0.220 EPS 44 0.220 0.220 0.220 EPS 45 0.220 0.220 0.220 EPS 46 0.220 0.220 0.220 EPS 47 0.220 0.220 0.220 EPS 48 0.220 0.220 0.220 EPS 49 0.220 0.220 0.220 EPS 50 0.220 0.220 0.220 EPS 51 0.220 0.220 0.220 EPS 52 0.220 0.220 0.220 EPS 53 0.220 0.220 0.220 EPS 54 0.220 0.220 0.220 EPS 55 0.220 0.220 0.220 EPS 56 0.220 0.220 0.220 EPS 57 0.220 0.220 0.220 EPS 58 0.220 0.220 0.220 EPS 59 0.220 0.220 0.220 EPS 60 0.220 0.220 0.220 EPS ---- VAR RI Real interest rate per annum LOWER LEVEL UPPER MARGINAL 1 -INF 0.057 +INF EPS 2 -INF 0.057 +INF EPS 3 -INF 0.055 +INF EPS 4 -INF 0.052 +INF EPS 5 -INF 0.050 +INF EPS 6 -INF 0.048 +INF EPS 7 -INF 0.046 +INF EPS 8 -INF 0.045 +INF EPS 9 -INF 0.044 +INF EPS 10 -INF 0.043 +INF EPS 11 -INF 0.042 +INF EPS 12 -INF 0.042 +INF EPS 13 -INF 0.042 +INF EPS 14 -INF 0.041 +INF EPS 15 -INF 0.041 +INF EPS 16 -INF 0.041 +INF EPS 17 -INF 0.040 +INF EPS 18 -INF 0.040 +INF EPS 19 -INF 0.040 +INF EPS 20 -INF 0.040 +INF EPS 21 -INF 0.040 +INF EPS 22 -INF 0.040 +INF EPS 23 -INF 0.040 +INF EPS 24 -INF 0.040 +INF EPS 25 -INF 0.040 +INF EPS 26 -INF 0.040 +INF EPS 27 -INF 0.039 +INF EPS 28 -INF 0.039 +INF EPS 29 -INF 0.039 +INF EPS 30 -INF 0.039 +INF EPS 31 -INF 0.039 +INF EPS 32 -INF 0.039 +INF EPS 33 -INF 0.038 +INF EPS 34 -INF 0.038 +INF EPS 35 -INF 0.038 +INF EPS 36 -INF 0.038 +INF EPS 37 -INF 0.038 +INF EPS 38 -INF 0.038 +INF EPS 39 -INF 0.037 +INF EPS 40 -INF 0.037 +INF EPS 41 -INF 0.037 +INF EPS 42 -INF 0.037 +INF EPS 43 -INF 0.037 +INF EPS 44 -INF 0.037 +INF EPS 45 -INF 0.037 +INF EPS 46 -INF 0.036 +INF EPS 47 -INF 0.036 +INF EPS 48 -INF 0.036 +INF EPS 49 -INF 0.036 +INF EPS 50 -INF 0.036 +INF EPS 51 -INF 0.036 +INF EPS 52 -INF 0.036 +INF EPS 53 -INF 0.035 +INF EPS 54 -INF 0.035 +INF EPS 55 -INF 0.035 +INF EPS 56 -INF 0.035 +INF EPS 57 -INF 0.035 +INF EPS 58 -INF 0.035 +INF EPS 59 -INF 0.035 +INF EPS 60 -INF 0.036 +INF EPS ---- VAR Y Gross world product net of abatement and damages LOWER LEVEL UPPER MARGINAL 1 . 55.583 +INF -1.07E-21 2 . 69.487 +INF -8.52E-22 3 . 85.029 +INF -6.97E-22 4 . 102.082 +INF -5.80E-22 5 . 120.693 +INF -4.91E-22 6 . 141.017 +INF -4.20E-22 7 . 163.281 +INF -3.63E-22 8 . 187.758 +INF -3.15E-22 9 . 214.752 +INF -2.76E-22 10 . 244.596 +INF -2.42E-22 11 . 277.648 +INF -2.13E-22 12 . 314.332 +INF -1.88E-22 13 . 355.076 +INF -1.67E-22 14 . 400.341 +INF -1.48E-22 15 . 450.626 +INF -1.31E-22 16 . 506.478 +INF -1.17E-22 17 . 568.501 +INF -1.04E-22 18 . 637.364 +INF -9.29E-23 19 . 713.823 +INF -8.30E-23 20 . 798.744 +INF -7.41E-23 21 . 893.705 +INF -6.63E-23 22 . 1001.591 +INF -5.91E-23 23 . 1122.036 +INF -5.28E-23 24 . 1255.895 +INF -4.72E-23 25 . 1404.190 +INF -4.22E-23 26 . 1568.098 +INF -3.78E-23 27 . 1748.946 +INF -3.39E-23 28 . 1948.197 +INF -3.04E-23 29 . 2167.452 +INF -2.73E-23 30 . 2408.446 +INF -2.46E-23 31 . 2673.049 +INF -2.22E-23 32 . 2963.272 +INF -2.00E-23 33 . 3281.266 +INF -1.80E-23 34 . 3629.336 +INF -1.63E-23 35 . 4009.937 +INF -1.48E-23 36 . 4425.689 +INF -1.34E-23 37 . 4879.381 +INF -1.21E-23 38 . 5373.979 +INF -1.10E-23 39 . 5912.633 +INF -1.00E-23 40 . 6498.687 +INF -9.11E-24 41 . 7135.687 +INF -8.30E-24 42 . 7827.386 +INF -7.57E-24 43 . 8577.758 +INF -6.90E-24 44 . 9391.002 +INF -6.31E-24 45 . 10271.553 +INF -5.77E-24 46 . 11224.089 +INF -5.28E-24 47 . 12253.541 +INF -4.83E-24 48 . 13365.100 +INF -4.43E-24 49 . 14564.229 +INF -4.07E-24 50 . 15856.667 +INF -3.73E-24 51 . 17248.440 +INF -3.43E-24 52 . 18745.870 +INF -3.16E-24 53 . 20355.580 +INF -2.91E-24 54 . 22084.509 +INF -2.68E-24 55 . 23939.910 +INF -2.47E-24 56 . 25929.367 +INF -2.28E-24 57 . 28060.797 +INF -2.11E-24 58 . 30342.462 +INF -1.95E-24 59 . 32782.969 +INF -1.81E-24 60 . 35763.354 +INF -1.66E-24 ---- VAR YGROSS Gross world product GROSS of abatement and damages LOWER LEVEL UPPER MARGINAL 1 . 55.667 +INF -1.06E-21 2 . 69.685 +INF -8.50E-22 3 . 85.391 +INF -6.94E-22 4 . 102.688 +INF -5.77E-22 5 . 121.641 +INF -4.87E-22 6 . 142.428 +INF -4.16E-22 7 . 165.301 +INF -3.58E-22 8 . 190.559 +INF -3.11E-22 9 . 218.540 +INF -2.71E-22 10 . 249.611 +INF -2.37E-22 11 . 284.167 +INF -2.08E-22 12 . 322.636 +INF -1.84E-22 13 . 365.489 +INF -1.62E-22 14 . 413.228 +INF -1.43E-22 15 . 466.398 +INF -1.27E-22 16 . 525.584 +INF -1.13E-22 17 . 591.425 +INF -1.00E-22 18 . 664.614 +INF -8.91E-23 19 . 745.908 +INF -7.94E-23 20 . 836.135 +INF -7.08E-23 21 . 936.207 +INF -6.33E-23 22 . 1047.268 +INF -5.66E-23 23 . 1170.898 +INF -5.06E-23 24 . 1308.073 +INF -4.53E-23 25 . 1459.898 +INF -4.06E-23 26 . 1627.606 +INF -3.64E-23 27 . 1812.555 +INF -3.27E-23 28 . 2016.234 +INF -2.94E-23 29 . 2240.259 +INF -2.64E-23 30 . 2486.376 +INF -2.38E-23 31 . 2756.466 +INF -2.15E-23 32 . 3052.546 +INF -1.94E-23 33 . 3376.779 +INF -1.75E-23 34 . 3731.475 +INF -1.59E-23 35 . 4119.102 +INF -1.44E-23 36 . 4542.289 +INF -1.30E-23 37 . 5003.835 +INF -1.18E-23 38 . 5506.719 +INF -1.08E-23 39 . 6054.103 +INF -9.78E-24 40 . 6649.345 +INF -8.91E-24 41 . 7296.004 +INF -8.12E-24 42 . 7997.848 +INF -7.41E-24 43 . 8758.867 +INF -6.76E-24 44 . 9583.275 +INF -6.18E-24 45 . 10475.523 +INF -5.65E-24 46 . 11440.307 +INF -5.18E-24 47 . 12482.576 +INF -4.74E-24 48 . 13607.540 +INF -4.35E-24 49 . 14820.679 +INF -4.00E-24 50 . 16127.754 +INF -3.67E-24 51 . 17534.809 +INF -3.38E-24 52 . 19048.189 +INF -3.11E-24 53 . 20674.539 +INF -2.86E-24 54 . 22420.819 +INF -2.64E-24 55 . 24294.307 +INF -2.44E-24 56 . 26302.610 +INF -2.25E-24 57 . 28453.672 +INF -2.08E-24 58 . 30755.778 +INF -1.93E-24 59 . 33217.566 +INF -1.78E-24 60 . 35848.028 +INF -1.65E-24 ---- VAR YNET Output net of damages equation LOWER LEVEL UPPER MARGINAL 1 -INF 55.583 +INF EPS 2 -INF 69.507 +INF EPS 3 -INF 85.063 +INF EPS 4 -INF 102.139 +INF EPS 5 -INF 120.781 +INF EPS 6 -INF 141.149 +INF EPS 7 -INF 163.474 +INF EPS 8 -INF 188.034 +INF EPS 9 -INF 215.139 +INF EPS 10 -INF 245.132 +INF EPS 11 -INF 278.380 +INF EPS 12 -INF 315.323 +INF EPS 13 -INF 356.409 +INF EPS 14 -INF 402.125 +INF EPS 15 -INF 453.003 +INF EPS 16 -INF 509.638 +INF EPS 17 -INF 572.690 +INF EPS 18 -INF 642.911 +INF EPS 19 -INF 721.160 +INF EPS 20 -INF 808.431 +INF EPS 21 -INF 905.830 +INF EPS 22 -INF 1014.491 +INF EPS 23 -INF 1135.777 +INF EPS 24 -INF 1270.543 +INF EPS 25 -INF 1419.812 +INF EPS 26 -INF 1584.764 +INF EPS 27 -INF 1766.728 +INF EPS 28 -INF 1967.173 +INF EPS 29 -INF 2187.706 +INF EPS 30 -INF 2430.065 +INF EPS 31 -INF 2696.128 +INF EPS 32 -INF 2987.911 +INF EPS 33 -INF 3307.574 +INF EPS 34 -INF 3657.425 +INF EPS 35 -INF 4039.931 +INF EPS 36 -INF 4457.717 +INF EPS 37 -INF 4913.582 +INF EPS 38 -INF 5410.499 +INF EPS 39 -INF 5951.629 +INF EPS 40 -INF 6540.325 +INF EPS 41 -INF 7180.143 +INF EPS 42 -INF 7874.848 +INF EPS 43 -INF 8628.423 +INF EPS 44 -INF 9445.081 +INF EPS 45 -INF 10329.268 +INF EPS 46 -INF 11285.675 +INF EPS 47 -INF 12319.248 +INF EPS 48 -INF 13435.192 +INF EPS 49 -INF 14638.984 +INF EPS 50 -INF 15936.379 +INF EPS 51 -INF 17333.420 +INF EPS 52 -INF 18836.445 +INF EPS 53 -INF 20452.096 +INF EPS 54 -INF 22187.330 +INF EPS 55 -INF 24049.420 +INF EPS 56 -INF 26045.969 +INF EPS 57 -INF 28184.917 +INF EPS 58 -INF 30474.545 +INF EPS 59 -INF 32923.485 +INF EPS 60 -INF 35763.354 +INF EPS ---- VAR DAMAGES Damages LOWER LEVEL UPPER MARGINAL 1 -INF 0.084 +INF EPS 2 -INF 0.178 +INF EPS 3 -INF 0.328 +INF EPS 4 -INF 0.549 +INF EPS 5 -INF 0.860 +INF EPS 6 -INF 1.279 +INF EPS 7 -INF 1.827 +INF EPS 8 -INF 2.526 +INF EPS 9 -INF 3.401 +INF EPS 10 -INF 4.479 +INF EPS 11 -INF 5.787 +INF EPS 12 -INF 7.313 +INF EPS 13 -INF 9.080 +INF EPS 14 -INF 11.104 +INF EPS 15 -INF 13.394 +INF EPS 16 -INF 15.946 +INF EPS 17 -INF 18.734 +INF EPS 18 -INF 21.702 +INF EPS 19 -INF 24.748 +INF EPS 20 -INF 27.704 +INF EPS 21 -INF 30.376 +INF EPS 22 -INF 32.778 +INF EPS 23 -INF 35.120 +INF EPS 24 -INF 37.530 +INF EPS 25 -INF 40.087 +INF EPS 26 -INF 42.842 +INF EPS 27 -INF 45.828 +INF EPS 28 -INF 49.061 +INF EPS 29 -INF 52.554 +INF EPS 30 -INF 56.311 +INF EPS 31 -INF 60.337 +INF EPS 32 -INF 64.635 +INF EPS 33 -INF 69.205 +INF EPS 34 -INF 74.050 +INF EPS 35 -INF 79.171 +INF EPS 36 -INF 84.572 +INF EPS 37 -INF 90.253 +INF EPS 38 -INF 96.220 +INF EPS 39 -INF 102.474 +INF EPS 40 -INF 109.020 +INF EPS 41 -INF 115.861 +INF EPS 42 -INF 123.000 +INF EPS 43 -INF 130.443 +INF EPS 44 -INF 138.194 +INF EPS 45 -INF 146.255 +INF EPS 46 -INF 154.632 +INF EPS 47 -INF 163.328 +INF EPS 48 -INF 172.348 +INF EPS 49 -INF 181.696 +INF EPS 50 -INF 191.375 +INF EPS 51 -INF 201.390 +INF EPS 52 -INF 211.744 +INF EPS 53 -INF 222.443 +INF EPS 54 -INF 233.489 +INF EPS 55 -INF 244.887 +INF EPS 56 -INF 256.641 +INF EPS 57 -INF 268.755 +INF EPS 58 -INF 281.233 +INF EPS 59 -INF 294.080 +INF EPS 60 -INF 84.674 +INF EPS ---- VAR ABATECOST Cost of emissions reductions LOWER LEVEL UPPER MARGINAL 1 -INF 1.3292E-5 +INF EPS 2 -INF 0.020 +INF EPS 3 -INF 0.035 +INF EPS 4 -INF 0.057 +INF EPS 5 -INF 0.088 +INF EPS 6 -INF 0.133 +INF EPS 7 -INF 0.195 +INF EPS 8 -INF 0.279 +INF EPS 9 -INF 0.393 +INF EPS 10 -INF 0.545 +INF EPS 11 -INF 0.747 +INF EPS 12 -INF 1.014 +INF EPS 13 -INF 1.367 +INF EPS 14 -INF 1.833 +INF EPS 15 -INF 2.448 +INF EPS 16 -INF 3.258 +INF EPS 17 -INF 4.326 +INF EPS 18 -INF 5.735 +INF EPS 19 -INF 7.588 +INF EPS 20 -INF 10.018 +INF EPS 21 -INF 12.532 +INF EPS 22 -INF 13.317 +INF EPS 23 -INF 14.166 +INF EPS 24 -INF 15.081 +INF EPS 25 -INF 16.063 +INF EPS 26 -INF 17.116 +INF EPS 27 -INF 18.243 +INF EPS 28 -INF 19.450 +INF EPS 29 -INF 20.740 +INF EPS 30 -INF 22.120 +INF EPS 31 -INF 23.595 +INF EPS 32 -INF 25.172 +INF EPS 33 -INF 26.858 +INF EPS 34 -INF 28.658 +INF EPS 35 -INF 30.582 +INF EPS 36 -INF 32.636 +INF EPS 37 -INF 34.829 +INF EPS 38 -INF 37.170 +INF EPS 39 -INF 39.668 +INF EPS 40 -INF 42.332 +INF EPS 41 -INF 45.174 +INF EPS 42 -INF 48.203 +INF EPS 43 -INF 51.431 +INF EPS 44 -INF 54.870 +INF EPS 45 -INF 58.532 +INF EPS 46 -INF 62.430 +INF EPS 47 -INF 66.578 +INF EPS 48 -INF 70.991 +INF EPS 49 -INF 75.683 +INF EPS 50 -INF 80.669 +INF EPS 51 -INF 85.967 +INF EPS 52 -INF 91.593 +INF EPS 53 -INF 97.566 +INF EPS 54 -INF 103.903 +INF EPS 55 -INF 110.625 +INF EPS 56 -INF 117.751 +INF EPS 57 -INF 125.303 +INF EPS 58 -INF 133.302 +INF EPS 59 -INF 141.771 +INF EPS 60 -INF -8.33E-10 +INF EPS ---- VAR CCA Cumulative industrial carbon emissions GTC LOWER LEVEL UPPER MARGINAL 1 . . 6000.000 -5.92E-10 2 . 85.320 6000.000 -6.84E-22 3 . 168.708 6000.000 -3.41E-22 4 . 259.321 6000.000 -2.18E-22 5 . 356.343 6000.000 -1.56E-22 6 . 458.921 6000.000 -1.18E-22 7 . 566.235 6000.000 -9.37E-23 8 . 677.495 6000.000 -7.63E-23 9 . 791.920 6000.000 -6.34E-23 10 . 908.696 6000.000 -5.35E-23 11 . 1026.936 6000.000 -4.58E-23 12 . 1145.638 6000.000 -3.95E-23 13 . 1263.613 6000.000 -3.44E-23 14 . 1379.423 6000.000 -3.01E-23 15 . 1491.321 6000.000 -2.66E-23 16 . 1597.177 6000.000 -2.36E-23 17 . 1694.408 6000.000 -2.12E-23 18 . 1779.882 6000.000 -1.92E-23 19 . 1849.826 6000.000 -1.77E-23 20 . 1899.736 6000.000 -1.67E-23 21 . 1924.363 6000.000 -1.62E-23 22 . 1925.700 6000.000 -1.62E-23 23 . 1926.904 6000.000 -1.62E-23 24 . 1927.987 6000.000 -1.62E-23 25 . 1928.962 6000.000 -1.62E-23 26 . 1929.839 6000.000 -1.61E-23 27 . 1930.629 6000.000 -1.61E-23 28 . 1931.340 6000.000 -1.61E-23 29 . 1931.979 6000.000 -1.61E-23 30 . 1932.555 6000.000 -1.61E-23 31 . 1933.073 6000.000 -1.61E-23 32 . 1933.539 6000.000 -1.61E-23 33 . 1933.959 6000.000 -1.61E-23 34 . 1934.337 6000.000 -1.61E-23 35 . 1934.677 6000.000 -1.60E-23 36 . 1934.983 6000.000 -1.60E-23 37 . 1935.258 6000.000 -1.60E-23 38 . 1935.506 6000.000 -1.60E-23 39 . 1935.729 6000.000 -1.60E-23 40 . 1935.930 6000.000 -1.60E-23 41 . 1936.110 6000.000 -1.60E-23 42 . 1936.273 6000.000 -1.60E-23 43 . 1936.419 6000.000 -1.60E-23 44 . 1936.551 6000.000 -1.60E-23 45 . 1936.669 6000.000 -1.60E-23 46 . 1936.776 6000.000 -1.60E-23 47 . 1936.872 6000.000 -1.60E-23 48 . 1936.959 6000.000 -1.60E-23 49 . 1937.036 6000.000 -1.60E-23 50 . 1937.106 6000.000 -1.60E-23 51 . 1937.169 6000.000 -1.60E-23 52 . 1937.226 6000.000 -1.60E-23 53 . 1937.277 6000.000 -1.60E-23 54 . 1937.323 6000.000 -1.60E-23 55 . 1937.364 6000.000 -1.60E-23 56 . 1937.401 6000.000 -1.60E-23 57 . 1937.435 6000.000 -1.60E-23 58 . 1937.465 6000.000 -1.60E-23 59 . 1937.492 6000.000 -1.60E-23 60 . 1937.517 6000.000 -1.60E-23 ---- VAR PERIODU One period utility function LOWER LEVEL UPPER MARGINAL 1 -INF -149.250 +INF EPS 2 -INF -130.552 +INF EPS 3 -INF -113.051 +INF EPS 4 -INF -97.840 +INF EPS 5 -INF -84.889 +INF EPS 6 -INF -73.891 +INF EPS 7 -INF -64.520 +INF EPS 8 -INF -56.494 +INF EPS 9 -INF -49.584 +INF EPS 10 -INF -43.608 +INF EPS 11 -INF -38.420 +INF EPS 12 -INF -33.895 +INF EPS 13 -INF -29.939 +INF EPS 14 -INF -26.470 +INF EPS 15 -INF -23.423 +INF EPS 16 -INF -20.742 +INF EPS 17 -INF -18.377 +INF EPS 18 -INF -16.288 +INF EPS 19 -INF -14.439 +INF EPS 20 -INF -12.799 +INF EPS 21 -INF -11.334 +INF EPS 22 -INF -10.006 +INF EPS 23 -INF -8.825 +INF EPS 24 -INF -7.778 +INF EPS 25 -INF -6.852 +INF EPS 26 -INF -6.031 +INF EPS 27 -INF -5.304 +INF EPS 28 -INF -4.659 +INF EPS 29 -INF -4.087 +INF EPS 30 -INF -3.578 +INF EPS 31 -INF -3.125 +INF EPS 32 -INF -2.721 +INF EPS 33 -INF -2.360 +INF EPS 34 -INF -2.038 +INF EPS 35 -INF -1.750 +INF EPS 36 -INF -1.491 +INF EPS 37 -INF -1.260 +INF EPS 38 -INF -1.052 +INF EPS 39 -INF -0.865 +INF EPS 40 -INF -0.697 +INF EPS 41 -INF -0.545 +INF EPS 42 -INF -0.409 +INF EPS 43 -INF -0.285 +INF EPS 44 -INF -0.174 +INF EPS 45 -INF -0.073 +INF EPS 46 -INF 0.018 +INF EPS 47 -INF 0.100 +INF EPS 48 -INF 0.175 +INF EPS 49 -INF 0.243 +INF EPS 50 -INF 0.305 +INF EPS 51 -INF 0.361 +INF EPS 52 -INF 0.412 +INF EPS 53 -INF 0.458 +INF EPS 54 -INF 0.501 +INF EPS 55 -INF 0.539 +INF EPS 56 -INF 0.575 +INF EPS 57 -INF 0.607 +INF EPS 58 -INF 0.637 +INF EPS 59 -INF 0.664 +INF EPS 60 -INF 0.692 +INF EPS LOWER LEVEL UPPER MARGINAL ---- VAR UTILITY -INF 1.5016E+5 +INF . **** REPORT SUMMARY : 0 NONOPT 0 INFEASIBLE 0 UNBOUNDED 0 ERRORS GAMS Rev 237 LEX-LEG 23.7.1 x86_64/Linux 09/14/11 00:07:33 Page 12 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Model Statistics SOLVE CO2 Using NLP From line 311 MODEL STATISTICS BLOCKS OF EQUATIONS 30 SINGLE EQUATIONS 1,263 BLOCKS OF VARIABLES 24 SINGLE VARIABLES 1,381 NON ZERO ELEMENTS 3,767 NON LINEAR N-Z 1,080 DERIVATIVE POOL 6 CONSTANT POOL 327 CODE LENGTH 5,643 GENERATION TIME = 0.007 SECONDS 3 Mb LEX237-237 Jul 7, 2011 EXECUTION TIME = 0.013 SECONDS 3 Mb LEX237-237 Jul 7, 2011 GAMS Rev 237 LEX-LEG 23.7.1 x86_64/Linux 09/14/11 00:07:33 Page 13 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Solution Report SOLVE CO2 Using NLP From line 311 S O L V E S U M M A R Y MODEL CO2 OBJECTIVE UTILITY TYPE NLP DIRECTION MAXIMIZE SOLVER COINIPOPT FROM LINE 311 **** SOLVER STATUS 1 Normal Completion **** MODEL STATUS 2 Locally Optimal **** OBJECTIVE VALUE 150164.5594 RESOURCE USAGE, LIMIT 0.797 99999.000 ITERATION COUNT, LIMIT 57 99900 EVALUATION ERRORS 0 0 COIN-OR Ipopt Jul 14, 2011 23.7.1 LEX 26788.26792 LEG x86_64/Linux ---- EQU CCTFIRST First period cumulative carbon LOWER LEVEL UPPER MARGINAL 1 . . . 5.922E-10 ---- EQU CCACCA Cumulative carbon emissions LOWER LEVEL UPPER MARGINAL 2 . . . 2.721E-21 3 . . . 2.037E-21 4 . . . 1.696E-21 5 . . . 1.478E-21 6 . . . 1.322E-21 7 . . . 1.204E-21 8 . . . 1.110E-21 9 . . . 1.034E-21 10 . . . 9.703E-22 11 . . . 9.168E-22 12 . . . 8.710E-22 13 . . . 8.315E-22 14 . . . 7.972E-22 15 . . . 7.671E-22 16 . . . 7.405E-22 17 . . . 7.169E-22 18 . . . 6.957E-22 19 . . . 6.764E-22 20 . . . 6.587E-22 21 . . . 6.419E-22 22 . . . 6.257E-22 23 . . . 6.095E-22 24 . . . 5.933E-22 25 . . . 5.771E-22 26 . . . 5.610E-22 27 . . . 5.448E-22 28 . . . 5.287E-22 29 . . . 5.126E-22 30 . . . 4.965E-22 31 . . . 4.804E-22 32 . . . 4.643E-22 33 . . . 4.483E-22 34 . . . 4.322E-22 35 . . . 4.162E-22 36 . . . 4.001E-22 37 . . . 3.841E-22 38 . . . 3.680E-22 39 . . . 3.520E-22 40 . . . 3.360E-22 41 . . . 3.200E-22 42 . . . 3.040E-22 43 . . . 2.879E-22 44 . . . 2.719E-22 45 . . . 2.559E-22 46 . . . 2.399E-22 47 . . . 2.239E-22 48 . . . 2.079E-22 49 . . . 1.919E-22 50 . . . 1.759E-22 51 . . . 1.599E-22 52 . . . 1.439E-22 53 . . . 1.279E-22 54 . . . 1.119E-22 55 . . . 9.594E-23 56 . . . 7.995E-23 57 . . . 6.396E-23 58 . . . 4.797E-23 59 . . . 3.198E-23 60 . . . 1.599E-23 LOWER LEVEL UPPER MARGINAL ---- EQU UTIL 3.8180E+5 3.8180E+5 3.8180E+5 1.000 UTIL Objective function ---- EQU YY Output net equation LOWER LEVEL UPPER MARGINAL 1 . . . 1171.331 2 . . . 765.926 3 . . . 493.212 4 . . . 318.074 5 . . . 206.510 6 . . . 135.112 7 . . . 89.038 8 . . . 59.050 9 . . . 39.380 10 . . . 26.388 11 . . . 17.758 12 . . . 11.993 13 . . . 8.126 14 . . . 5.522 15 . . . 3.763 16 . . . 2.571 17 . . . 1.761 18 . . . 1.208 19 . . . 0.831 20 . . . 0.572 21 . . . 0.394 22 . . . 0.270 23 . . . 0.186 24 . . . 0.128 25 . . . 0.088 26 . . . 0.061 27 . . . 0.042 28 . . . 0.029 29 . . . 0.020 30 . . . 0.014 31 . . . 0.010 32 . . . 0.007 33 . . . 0.005 34 . . . 0.003 35 . . . 0.002 36 . . . 0.002 37 . . . 0.001 38 . -1.023E-8 . 8.7205E-4 39 . -1.092E-8 . 6.2094E-4 40 . -1.166E-8 . 4.4304E-4 41 . -1.245E-8 . 3.1674E-4 42 . -1.329E-8 . 2.2689E-4 43 . -1.419E-8 . 1.6285E-4 44 . -1.514E-8 . 1.1710E-4 45 . -1.616E-8 . 8.4372E-5 46 . -1.724E-8 . 6.0903E-5 47 . -1.840E-8 . 4.4044E-5 48 . -1.963E-8 . 3.1911E-5 49 . -2.093E-8 . 2.3162E-5 50 . -2.232E-8 . 1.6842E-5 51 . -2.380E-8 . 1.2267E-5 52 . -2.536E-8 . 8.9506E-6 53 . -2.703E-8 . 6.5408E-6 54 . -2.879E-8 . 4.7861E-6 55 . -3.066E-8 . 3.5047E-6 56 . -3.265E-8 . 2.5646E-6 57 . -3.475E-8 . 1.8693E-6 58 . -3.699E-8 . 1.3461E-6 59 . -3.935E-8 . 9.3789E-7 60 . . . 5.8514E-7 ---- EQU YNETEQ Output net of damages equation LOWER LEVEL UPPER MARGINAL 1 . . . EPS 2 . . . EPS 3 . . . EPS 4 . . . EPS 5 . . . EPS 6 . . . EPS 7 . . . EPS 8 . . . EPS 9 . . . EPS 10 . . . EPS 11 . . . EPS 12 . . . EPS 13 . . . EPS 14 . . . EPS 15 . . . EPS 16 . . . EPS 17 . . . EPS 18 . . . EPS 19 . . . EPS 20 . . . EPS 21 . . . EPS 22 . . . EPS 23 . . . EPS 24 . . . EPS 25 . . . EPS 26 . . . EPS 27 . . . EPS 28 . . . EPS 29 . . . EPS 30 . . . EPS 31 . . . EPS 32 . . . EPS 33 . . . EPS 34 . . . EPS 35 . . . EPS 36 . . . EPS 37 . . . EPS 38 . . . EPS 39 . . . EPS 40 . . . EPS 41 . . . EPS 42 . . . EPS 43 . . . EPS 44 . . . EPS 45 . . . EPS 46 . . . EPS 47 . . . EPS 48 . . . EPS 49 . . . EPS 50 . . . EPS 51 . . . EPS 52 . . . EPS 53 . . . EPS 54 . . . EPS 55 . . . EPS 56 . . . EPS 57 . . . EPS 58 . . . EPS 59 . . . EPS 60 . . . EPS ---- EQU YGROSSEQ Output gross equation LOWER LEVEL UPPER MARGINAL 1 . . . 1169.558 2 . . . 763.742 3 . . . 491.118 4 . . . 316.199 5 . . . 204.902 6 . . . 133.773 7 . . . 87.950 8 . . . 58.182 9 . . . 38.697 10 . . . 25.858 11 . . . 17.351 12 . . . 11.684 13 . . . 7.894 14 . . . 5.350 15 . . . 3.636 16 . . . 2.477 17 . . . 1.692 18 . . . 1.159 19 . . . 0.795 20 . . . 0.546 21 . . . 0.376 22 . . . 0.258 23 . . . 0.178 24 . . . 0.123 25 . . . 0.085 26 . . . 0.059 27 . . . 0.041 28 . . . 0.028 29 . . . 0.020 30 . . . 0.014 31 . . . 0.010 32 . . . 0.007 33 . . . 0.005 34 . . . 0.003 35 . . . 0.002 36 . . . 0.002 37 . . . 0.001 38 . . . 8.5103E-4 39 . . . 6.0643E-4 40 . . . 4.3300E-4 41 . . . 3.0978E-4 42 . . . 2.2205E-4 43 . . . 1.5948E-4 44 . . . 1.1476E-4 45 . . . 8.2730E-5 46 . . . 5.9752E-5 47 . . . 4.3236E-5 48 . . . 3.1342E-5 49 . . . 2.2761E-5 50 . . . 1.6558E-5 51 . . . 1.2067E-5 52 . . . 8.8085E-6 53 . . . 6.4399E-6 54 . . . 4.7143E-6 55 . . . 3.4535E-6 56 . . . 2.5282E-6 57 . . . 1.8435E-6 58 . . . 1.3280E-6 59 . . . 9.2562E-7 60 . . . 5.8376E-7 ---- EQU DAMEQ Damage equation LOWER LEVEL UPPER MARGINAL 1 . . . EPS 2 . . . EPS 3 . . . EPS 4 . . . EPS 5 . . . EPS 6 . . . EPS 7 . . . EPS 8 . . . EPS 9 . . . EPS 10 . . . EPS 11 . . . EPS 12 . . . EPS 13 . . . EPS 14 . . . EPS 15 . . . EPS 16 . . . EPS 17 . . . EPS 18 . . . EPS 19 . . . EPS 20 . . . EPS 21 . . . EPS 22 . . . EPS 23 . . . EPS 24 . . . EPS 25 . . . EPS 26 . . . EPS 27 . . . EPS 28 . . . EPS 29 . . . EPS 30 . . . EPS 31 . . . EPS 32 . . . EPS 33 . . . EPS 34 . . . EPS 35 . . . EPS 36 . . . EPS 37 . . . EPS 38 . . . EPS 39 . . . EPS 40 . . . EPS 41 . . . EPS 42 . . . EPS 43 . . . EPS 44 . . . EPS 45 . . . EPS 46 . . . EPS 47 . . . EPS 48 . . . EPS 49 . . . EPS 50 . . . EPS 51 . . . EPS 52 . . . EPS 53 . . . EPS 54 . . . EPS 55 . . . EPS 56 . . . EPS 57 . . . EPS 58 . . . EPS 59 . . . EPS 60 . . . EPS ---- EQU ABATEEQ Cost of emissions reductions equation LOWER LEVEL UPPER MARGINAL 1 . . . EPS 2 . . . EPS 3 . . . EPS 4 . . . EPS 5 . . . EPS 6 . . . EPS 7 . . . EPS 8 . . . EPS 9 . . . EPS 10 . . . EPS 11 . . . EPS 12 . . . EPS 13 . . . EPS 14 . . . EPS 15 . . . EPS 16 . . . EPS 17 . . . EPS 18 . . . EPS 19 . . . EPS 20 . . . EPS 21 . . . EPS 22 . . . EPS 23 . . . EPS 24 . . . EPS 25 . . . EPS 26 . . . EPS 27 . . . EPS 28 . . . EPS 29 . . . EPS 30 . . . EPS 31 . . . EPS 32 . . . EPS 33 . . . EPS 34 . . . EPS 35 . . . EPS 36 . . . EPS 37 . . . EPS 38 . 1.0408E-8 . EPS 39 . 1.1107E-8 . EPS 40 . 1.1853E-8 . EPS 41 . 1.2649E-8 . EPS 42 . 1.3497E-8 . EPS 43 . 1.4401E-8 . EPS 44 . 1.5364E-8 . EPS 45 . 1.6389E-8 . EPS 46 . 1.7480E-8 . EPS 47 . 1.8642E-8 . EPS 48 . 1.9877E-8 . EPS 49 . 2.1191E-8 . EPS 50 . 2.2587E-8 . EPS 51 . 2.4071E-8 . EPS 52 . 2.5646E-8 . EPS 53 . 2.7318E-8 . EPS 54 . 2.9093E-8 . EPS 55 . 3.0975E-8 . EPS 56 . 3.2970E-8 . EPS 57 . 3.5085E-8 . EPS 58 . 3.7325E-8 . EPS 59 . 3.9696E-8 . EPS 60 . . . EPS ---- EQU CC Consumption equation LOWER LEVEL UPPER MARGINAL 1 . . . 1163.668 2 . . . 768.654 3 . . . 497.827 4 . . . 322.167 5 . . . 209.618 6 . . . 137.327 7 . . . 90.569 8 . . . 60.092 9 . . . 40.081 10 . . . 26.859 11 . . . 18.073 12 . . . 12.203 13 . . . 8.266 14 . . . 5.615 15 . . . 3.824 16 . . . 2.611 17 . . . 1.787 18 . . . 1.226 19 . . . 0.842 20 . . . 0.580 21 . . . 0.399 22 . . . 0.274 23 . . . 0.188 24 . . . 0.129 25 . . . 0.089 26 . . . 0.062 27 . . . 0.043 28 . . . 0.030 29 . . . 0.021 30 . . . 0.014 31 . . . 0.010 32 . . . 0.007 33 . . . 0.005 34 . . . 0.003 35 . . . 0.002 36 . . . 0.002 37 . . . 0.001 38 . . . 8.7898E-4 39 . . . 6.2567E-4 40 . . . 4.4627E-4 41 . . . 3.1895E-4 42 . . . 2.2840E-4 43 . . . 1.6388E-4 44 . . . 1.1781E-4 45 . . . 8.4855E-5 46 . . . 6.1233E-5 47 . . . 4.4269E-5 48 . . . 3.2064E-5 49 . . . 2.3266E-5 50 . . . 1.6913E-5 51 . . . 1.2316E-5 52 . . . 8.9849E-6 53 . . . 6.5659E-6 54 . . . 4.8065E-6 55 . . . 3.5245E-6 56 . . . 2.5888E-6 57 . . . 1.9047E-6 58 . . . 1.4037E-6 59 . . . 1.0361E-6 60 . . . 7.5018E-7 ---- EQU KK Capital balance equation LOWER LEVEL UPPER MARGINAL 1 -INF . . 119.850 2 -INF . . 75.625 3 -INF . . 47.685 4 -INF . . 30.356 5 -INF . . 19.549 6 -INF . . 12.726 7 -INF . . 8.361 8 -INF . . 5.536 9 -INF . . 3.689 10 -INF . . 2.472 11 -INF . . 1.664 12 -INF . . 1.125 13 -INF . . 0.763 14 -INF . . 0.519 15 -INF . . 0.355 16 -INF . . 0.243 17 -INF . . 0.167 18 -INF . . 0.115 19 -INF . . 0.079 20 -INF . . 0.054 21 -INF . . 0.037 22 -INF . . 0.026 23 -INF . . 0.018 24 -INF . . 0.012 25 -INF . . 0.008 26 -INF . . 0.006 27 -INF . . 0.004 28 -INF . . 0.003 29 -INF . . 0.002 30 -INF . . 0.001 31 -INF . . 9.6039E-4 32 -INF . . 6.7451E-4 33 -INF . . 4.7479E-4 34 -INF . . 3.3495E-4 35 -INF . . 2.3681E-4 36 -INF . . 1.6778E-4 37 -INF . . 1.1912E-4 38 -INF . . 8.4748E-5 39 -INF . . 6.0417E-5 40 -INF . . 4.3158E-5 41 -INF . . 3.0891E-5 42 -INF . . 2.2154E-5 43 -INF . . 1.5919E-5 44 -INF . . 1.1460E-5 45 -INF . . 8.2663E-6 46 -INF . . 5.9735E-6 47 -INF . . 4.3247E-6 48 -INF . . 3.1367E-6 49 -INF . . 2.2791E-6 50 -INF . . 1.6588E-6 51 -INF . . 1.2093E-6 52 -INF . . 8.8288E-7 53 -INF . . 6.4517E-7 54 -INF . . 4.7138E-7 55 -INF . . 3.4343E-7 56 -INF . . 2.4789E-7 57 -INF . . 1.7438E-7 58 -INF . . 1.1420E-7 59 -INF . . 5.8965E-8 60 -INF -1.158E+5 . -8.08E-26 ---- EQU KK0 Initial condition for capital LOWER LEVEL UPPER MARGINAL 1 137.000 137.000 137.000 183.833 ---- EQU KC Terminal condition for capital LOWER LEVEL UPPER MARGINAL 60 -INF -5738.559 . 9.728E-24 ---- EQU CPCE Per capita consumption definition LOWER LEVEL UPPER MARGINAL 1 . . . EPS 2 . . . EPS 3 . . . EPS 4 . . . EPS 5 . . . EPS 6 . . . EPS 7 . . . EPS 8 . . . EPS 9 . . . EPS 10 . . . EPS 11 . . . EPS 12 . . . EPS 13 . . . EPS 14 . . . EPS 15 . . . EPS 16 . . . EPS 17 . . . EPS 18 . . . EPS 19 . . . EPS 20 . . . EPS 21 . . . EPS 22 . . . EPS 23 . . . EPS 24 . . . EPS 25 . . . EPS 26 . . . EPS 27 . . . EPS 28 . . . EPS 29 . . . EPS 30 . . . EPS 31 . . . EPS 32 . . . EPS 33 . . . EPS 34 . . . EPS 35 . . . EPS 36 . . . EPS 37 . . . EPS 38 . . . EPS 39 . . . EPS 40 . . . EPS 41 . . . EPS 42 . . . EPS 43 . . . EPS 44 . . . EPS 45 . . . EPS 46 . . . EPS 47 . . . EPS 48 . . . EPS 49 . . . EPS 50 . . . EPS 51 . . . EPS 52 . . . EPS 53 . . . EPS 54 . . . EPS 55 . . . EPS 56 . . . EPS 57 . . . EPS 58 . . . EPS 59 . . . EPS 60 . . . EPS ---- EQU PCYE Per capita income definition LOWER LEVEL UPPER MARGINAL 1 . . . EPS 2 . . . EPS 3 . . . EPS 4 . . . EPS 5 . . . EPS 6 . . . EPS 7 . . . EPS 8 . . . EPS 9 . . . EPS 10 . . . EPS 11 . . . EPS 12 . . . EPS 13 . . . EPS 14 . . . EPS 15 . . . EPS 16 . . . EPS 17 . . . EPS 18 . . . EPS 19 . . . EPS 20 . . . EPS 21 . . . EPS 22 . . . EPS 23 . . . EPS 24 . . . EPS 25 . . . EPS 26 . . . EPS 27 . . . EPS 28 . . . EPS 29 . . . EPS 30 . . . EPS 31 . . . EPS 32 . . . EPS 33 . . . EPS 34 . . . EPS 35 . . . EPS 36 . . . EPS 37 . . . EPS 38 . . . EPS 39 . . . EPS 40 . . . EPS 41 . . . EPS 42 . . . EPS 43 . . . EPS 44 . . . EPS 45 . . . EPS 46 . . . EPS 47 . . . EPS 48 . . . EPS 49 . . . EPS 50 . . . EPS 51 . . . EPS 52 . . . EPS 53 . . . EPS 54 . . . EPS 55 . . . EPS 56 . . . EPS 57 . . . EPS 58 . . . EPS 59 . . . EPS 60 . . . EPS ---- EQU EE Emissions equation LOWER LEVEL UPPER MARGINAL 1 11.000 11.000 11.000 -3.215 2 9.900 9.900 9.900 -3.163 3 8.910 8.910 8.910 -2.598 4 8.019 8.019 8.019 -2.100 5 7.217 7.217 7.217 -1.679 6 6.495 6.495 6.495 -1.330 7 5.846 5.846 5.846 -1.048 8 5.261 5.261 5.261 -0.821 9 4.735 4.735 4.735 -0.641 10 4.262 4.262 4.262 -0.499 11 3.835 3.835 3.835 -0.388 12 3.452 3.452 3.452 -0.301 13 3.107 3.107 3.107 -0.233 14 2.796 2.796 2.796 -0.181 15 2.516 2.516 2.516 -0.141 16 2.265 2.265 2.265 -0.109 17 2.038 2.038 2.038 -0.085 18 1.834 1.834 1.834 -0.066 19 1.651 1.651 1.651 -0.052 20 1.486 1.486 1.486 -0.040 21 1.337 1.337 1.337 -0.031 22 1.204 1.204 1.204 -0.024 23 1.083 1.083 1.083 -0.019 24 0.975 0.975 0.975 -0.015 25 0.877 0.877 0.877 -0.011 26 0.790 0.790 0.790 -0.009 27 0.711 0.711 0.711 -0.007 28 0.640 0.640 0.640 -0.005 29 0.576 0.576 0.576 -0.004 30 0.518 0.518 0.518 -0.003 31 0.466 0.466 0.466 -0.002 32 0.420 0.420 0.420 -0.002 33 0.378 0.378 0.378 -0.002 34 0.340 0.340 0.340 -0.001 35 0.306 0.306 0.306 -9.202E-4 36 0.275 0.275 0.275 -7.183E-4 37 0.248 0.248 0.248 -5.610E-4 38 0.223 0.223 0.223 -4.384E-4 39 0.201 0.201 0.201 -3.427E-4 40 0.181 0.181 0.181 -2.680E-4 41 0.163 0.163 0.163 -2.097E-4 42 0.146 0.146 0.146 -1.641E-4 43 0.132 0.132 0.132 -1.284E-4 44 0.119 0.119 0.119 -1.004E-4 45 0.107 0.107 0.107 -7.851E-5 46 0.096 0.096 0.096 -6.133E-5 47 0.086 0.086 0.086 -4.784E-5 48 0.078 0.078 0.078 -3.724E-5 49 0.070 0.070 0.070 -2.890E-5 50 0.063 0.063 0.063 -2.232E-5 51 0.057 0.057 0.057 -1.713E-5 52 0.051 0.051 0.051 -1.302E-5 53 0.046 0.046 0.046 -9.751E-6 54 0.041 0.041 0.041 -7.148E-6 55 0.037 0.037 0.037 -5.071E-6 56 0.033 0.033 0.033 -3.415E-6 57 0.030 0.030 0.030 -2.110E-6 58 0.027 0.027 0.027 -1.119E-6 59 0.024 0.024 0.024 -4.387E-7 60 0.022 0.022 0.022 8.045E-24 ---- EQU SEQ Savings rate equation LOWER LEVEL UPPER MARGINAL 1 . . . -1936.027 2 . . . 861.920 3 . . . 1783.439 4 . . . 1899.055 5 . . . 1704.734 6 . . . 1419.982 7 . . . 1136.676 8 . . . 888.848 9 . . . 684.995 10 . . . 523.046 11 . . . 397.279 12 . . . 300.017 13 . . . 225.496 14 . . . 168.762 15 . . . 125.768 16 . . . 93.321 17 . . . 68.964 18 . . . 50.866 19 . . . 37.741 20 . . . 28.808 21 . . . 22.719 22 . . . 17.073 23 . . . 12.776 24 . . . 9.544 25 . . . 7.127 26 . . . 5.325 27 . . . 3.981 28 . . . 2.980 29 . . . 2.232 30 . . . 1.673 31 . . . 1.255 32 . . . 0.942 33 . . . 0.707 34 . . . 0.531 35 . . . 0.399 36 . . . 0.300 37 . . . 0.225 38 . . . 0.169 39 . . . 0.127 40 . . . 0.095 41 . . . 0.072 42 . . . 0.054 43 . . . 0.040 44 . . . 0.030 45 . . . 0.023 46 . . . 0.017 47 . . . 0.013 48 . . . 0.009 49 . . . 0.007 50 . . . 0.005 51 . . . 0.004 52 . . . 0.003 53 . . . 0.002 54 . . . 0.002 55 . . . 0.002 56 . . . 0.003 57 . . . 0.005 58 . . . 0.008 59 . . . 0.015 60 . . . 0.027 ---- EQU RIEQ Interest rate equation LOWER LEVEL UPPER MARGINAL 1 -0.065 -0.065 -0.065 EPS 2 -0.065 -0.065 -0.065 EPS 3 -0.065 -0.065 -0.065 EPS 4 -0.065 -0.065 -0.065 EPS 5 -0.065 -0.065 -0.065 EPS 6 -0.065 -0.065 -0.065 EPS 7 -0.065 -0.065 -0.065 EPS 8 -0.065 -0.065 -0.065 EPS 9 -0.065 -0.065 -0.065 EPS 10 -0.065 -0.065 -0.065 EPS 11 -0.065 -0.065 -0.065 EPS 12 -0.065 -0.065 -0.065 EPS 13 -0.065 -0.065 -0.065 EPS 14 -0.065 -0.065 -0.065 EPS 15 -0.065 -0.065 -0.065 EPS 16 -0.065 -0.065 -0.065 EPS 17 -0.065 -0.065 -0.065 EPS 18 -0.065 -0.065 -0.065 EPS 19 -0.065 -0.065 -0.065 EPS 20 -0.065 -0.065 -0.065 EPS 21 -0.065 -0.065 -0.065 EPS 22 -0.065 -0.065 -0.065 EPS 23 -0.065 -0.065 -0.065 EPS 24 -0.065 -0.065 -0.065 EPS 25 -0.065 -0.065 -0.065 EPS 26 -0.065 -0.065 -0.065 EPS 27 -0.065 -0.065 -0.065 EPS 28 -0.065 -0.065 -0.065 EPS 29 -0.065 -0.065 -0.065 EPS 30 -0.065 -0.065 -0.065 EPS 31 -0.065 -0.065 -0.065 EPS 32 -0.065 -0.065 -0.065 EPS 33 -0.065 -0.065 -0.065 EPS 34 -0.065 -0.065 -0.065 EPS 35 -0.065 -0.065 -0.065 EPS 36 -0.065 -0.065 -0.065 EPS 37 -0.065 -0.065 -0.065 EPS 38 -0.065 -0.065 -0.065 EPS 39 -0.065 -0.065 -0.065 EPS 40 -0.065 -0.065 -0.065 EPS 41 -0.065 -0.065 -0.065 EPS 42 -0.065 -0.065 -0.065 EPS 43 -0.065 -0.065 -0.065 EPS 44 -0.065 -0.065 -0.065 EPS 45 -0.065 -0.065 -0.065 EPS 46 -0.065 -0.065 -0.065 EPS 47 -0.065 -0.065 -0.065 EPS 48 -0.065 -0.065 -0.065 EPS 49 -0.065 -0.065 -0.065 EPS 50 -0.065 -0.065 -0.065 EPS 51 -0.065 -0.065 -0.065 EPS 52 -0.065 -0.065 -0.065 EPS 53 -0.065 -0.065 -0.065 EPS 54 -0.065 -0.065 -0.065 EPS 55 -0.065 -0.065 -0.065 EPS 56 -0.065 -0.065 -0.065 EPS 57 -0.065 -0.065 -0.065 EPS 58 -0.065 -0.065 -0.065 EPS 59 -0.065 -0.065 -0.065 EPS 60 -0.065 -0.065 -0.065 EPS ---- EQU FORCE Radiative forcing equation LOWER LEVEL UPPER MARGINAL 1 -0.060 -0.060 -0.060 EPS 2 -0.024 -0.024 -0.024 -162.038 3 0.012 0.012 0.012 -147.992 4 0.048 0.048 0.048 -130.476 5 0.084 0.084 0.084 -112.270 6 0.120 0.120 0.120 -94.906 7 0.156 0.156 0.156 -79.147 8 0.192 0.192 0.192 -65.299 9 0.228 0.228 0.228 -53.398 10 0.264 0.264 0.264 -43.336 11 0.300 0.300 0.300 -34.924 12 0.300 0.300 0.300 -27.947 13 0.300 0.300 0.300 -22.234 14 0.300 0.300 0.300 -17.599 15 0.300 0.300 0.300 -13.864 16 0.300 0.300 0.300 -10.868 17 0.300 0.300 0.300 -8.474 18 0.300 0.300 0.300 -6.569 19 0.300 0.300 0.300 -5.057 20 0.300 0.300 0.300 -3.865 21 0.300 0.300 0.300 -2.932 22 0.300 0.300 0.300 -2.215 23 0.300 0.300 0.300 -1.671 24 0.300 0.300 0.300 -1.262 25 0.300 0.300 0.300 -0.954 26 0.300 0.300 0.300 -0.723 27 0.300 0.300 0.300 -0.549 28 0.300 0.300 0.300 -0.418 29 0.300 0.300 0.300 -0.319 30 0.300 0.300 0.300 -0.244 31 0.300 0.300 0.300 -0.186 32 0.300 0.300 0.300 -0.143 33 0.300 0.300 0.300 -0.109 34 0.300 0.300 0.300 -0.084 35 0.300 0.300 0.300 -0.065 36 0.300 0.300 0.300 -0.050 37 0.300 0.300 0.300 -0.038 38 0.300 0.300 0.300 -0.030 39 0.300 0.300 0.300 -0.023 40 0.300 0.300 0.300 -0.018 41 0.300 0.300 0.300 -0.014 42 0.300 0.300 0.300 -0.011 43 0.300 0.300 0.300 -0.008 44 0.300 0.300 0.300 -0.006 45 0.300 0.300 0.300 -0.005 46 0.300 0.300 0.300 -0.004 47 0.300 0.300 0.300 -0.003 48 0.300 0.300 0.300 -0.002 49 0.300 0.300 0.300 -0.002 50 0.300 0.300 0.300 -0.001 51 0.300 0.300 0.300 -0.001 52 0.300 0.300 0.300 -8.500E-4 53 0.300 0.300 0.300 -6.600E-4 54 0.300 0.300 0.300 -5.103E-4 55 0.300 0.300 0.300 -3.912E-4 56 0.300 0.300 0.300 -2.948E-4 57 0.300 0.300 0.300 -2.148E-4 58 0.300 0.300 0.300 -1.457E-4 59 0.300 0.300 0.300 -8.313E-5 60 0.300 0.300 0.300 -2.381E-5 ---- EQU MMAT0 Starting atmospheric concentration LOWER LEVEL UPPER MARGINAL 1 808.900 808.900 808.900 -2.792 ---- EQU MMAT Atmospheric concentration equation LOWER LEVEL UPPER MARGINAL 2 . . . -3.215 3 . . . -3.163 4 . . . -2.598 5 . . . -2.100 6 . . . -1.679 7 . . . -1.330 8 . . . -1.048 9 . . . -0.821 10 . . . -0.641 11 . . . -0.499 12 . . . -0.388 13 . . . -0.301 14 . . . -0.233 15 . . . -0.181 16 . . . -0.141 17 . . . -0.109 18 . . . -0.085 19 . . . -0.066 20 . . . -0.052 21 . . . -0.040 22 . . . -0.031 23 . . . -0.024 24 . . . -0.019 25 . . . -0.015 26 . . . -0.011 27 . . . -0.009 28 . . . -0.007 29 . . . -0.005 30 . . . -0.004 31 . . . -0.003 32 . . . -0.002 33 . . . -0.002 34 . . . -0.002 35 . . . -0.001 36 . . . -9.202E-4 37 . . . -7.183E-4 38 . . . -5.610E-4 39 . . . -4.384E-4 40 . . . -3.427E-4 41 . . . -2.680E-4 42 . . . -2.097E-4 43 . . . -1.641E-4 44 . . . -1.284E-4 45 . . . -1.004E-4 46 . . . -7.851E-5 47 . . . -6.133E-5 48 . . . -4.784E-5 49 . . . -3.724E-5 50 . . . -2.890E-5 51 . . . -2.232E-5 52 . . . -1.713E-5 53 . . . -1.302E-5 54 . . . -9.751E-6 55 . . . -7.148E-6 56 . . . -5.071E-6 57 . . . -3.415E-6 58 . . . -2.110E-6 59 . . . -1.119E-6 60 . . . -4.387E-7 ---- EQU MMATAVEQ Average concentrations equation LOWER LEVEL UPPER MARGINAL 1 . . . 7.025E-23 2 . . . -1.003 3 . . . -0.872 4 . . . -0.732 5 . . . -0.600 6 . . . -0.485 7 . . . -0.387 8 . . . -0.307 9 . . . -0.241 10 . . . -0.189 11 . . . -0.148 12 . . . -0.115 13 . . . -0.089 14 . . . -0.069 15 . . . -0.053 16 . . . -0.041 17 . . . -0.032 18 . . . -0.025 19 . . . -0.019 20 . . . -0.015 21 . . . -0.012 22 . . . -0.009 23 . . . -0.007 24 . . . -0.006 25 . . . -0.004 26 . . . -0.003 27 . . . -0.003 28 . . . -0.002 29 . . . -0.002 30 . . . -0.001 31 . . . -9.418E-4 32 . . . -7.317E-4 33 . . . -5.690E-4 34 . . . -4.428E-4 35 . . . -3.449E-4 36 . . . -2.688E-4 37 . . . -2.097E-4 38 . . . -1.637E-4 39 . . . -1.278E-4 40 . . . -0.999E-4 41 . . . -7.813E-5 42 . . . -6.114E-5 43 . . . -4.788E-5 44 . . . -3.751E-5 45 . . . -2.941E-5 46 . . . -2.307E-5 47 . . . -1.811E-5 48 . . . -1.422E-5 49 . . . -1.117E-5 50 . . . -8.770E-6 51 . . . -6.887E-6 52 . . . -5.403E-6 53 . . . -4.230E-6 54 . . . -3.296E-6 55 . . . -2.547E-6 56 . . . -1.934E-6 57 . . . -1.419E-6 58 . . . -9.697E-7 59 . . . -5.572E-7 60 . . . -3.203E-7 ---- EQU MMU0 Initial shallow ocean concentration LOWER LEVEL UPPER MARGINAL 1 1255.000 1255.000 1255.000 -1.148 ---- EQU MMU Shallow ocean concentration LOWER LEVEL UPPER MARGINAL 2 . . . -0.980 3 . . . -0.788 4 . . . -0.627 5 . . . -0.495 6 . . . -0.389 7 . . . -0.305 8 . . . -0.238 9 . . . -0.185 10 . . . -0.144 11 . . . -0.112 12 . . . -0.087 13 . . . -0.067 14 . . . -0.052 15 . . . -0.041 16 . . . -0.032 17 . . . -0.025 18 . . . -0.019 19 . . . -0.015 20 . . . -0.012 21 . . . -0.009 22 . . . -0.007 23 . . . -0.005 24 . . . -0.004 25 . . . -0.003 26 . . . -0.003 27 . . . -0.002 28 . . . -0.002 29 . . . -0.001 30 . . . -9.297E-4 31 . . . -7.242E-4 32 . . . -5.645E-4 33 . . . -4.403E-4 34 . . . -3.436E-4 35 . . . -2.683E-4 36 . . . -2.096E-4 37 . . . -1.637E-4 38 . . . -1.280E-4 39 . . . -1.000E-4 40 . . . -7.818E-5 41 . . . -6.108E-5 42 . . . -4.770E-5 43 . . . -3.721E-5 44 . . . -2.898E-5 45 . . . -2.252E-5 46 . . . -1.745E-5 47 . . . -1.347E-5 48 . . . -1.033E-5 49 . . . -7.866E-6 50 . . . -5.927E-6 51 . . . -4.403E-6 52 . . . -3.210E-6 53 . . . -2.279E-6 54 . . . -1.561E-6 55 . . . -1.015E-6 56 . . . -6.125E-7 57 . . . -3.289E-7 58 . . . -1.452E-7 59 . . . -4.265E-8 60 . . . 4.079E-23 ---- EQU MML0 Initial lower ocean concentration LOWER LEVEL UPPER MARGINAL 1 18365.000 18365.000 18365.000 -0.014 ---- EQU MML Lower ocean concentration LOWER LEVEL UPPER MARGINAL 2 . . . -0.011 3 . . . -0.009 4 . . . -0.007 5 . . . -0.005 6 . . . -0.004 7 . . . -0.003 8 . . . -0.003 9 . . . -0.002 10 . . . -0.002 11 . . . -0.001 12 . . . -9.347E-4 13 . . . -7.270E-4 14 . . . -5.657E-4 15 . . . -4.402E-4 16 . . . -3.426E-4 17 . . . -2.665E-4 18 . . . -2.072E-4 19 . . . -1.610E-4 20 . . . -1.250E-4 21 . . . -9.706E-5 22 . . . -7.535E-5 23 . . . -5.853E-5 24 . . . -4.549E-5 25 . . . -3.537E-5 26 . . . -2.752E-5 27 . . . -2.143E-5 28 . . . -1.669E-5 29 . . . -1.301E-5 30 . . . -1.014E-5 31 . . . -7.905E-6 32 . . . -6.164E-6 33 . . . -4.806E-6 34 . . . -3.746E-6 35 . . . -2.918E-6 36 . . . -2.272E-6 37 . . . -1.767E-6 38 . . . -1.372E-6 39 . . . -1.063E-6 40 . . . -8.221E-7 41 . . . -6.336E-7 42 . . . -4.863E-7 43 . . . -3.715E-7 44 . . . -2.820E-7 45 . . . -2.124E-7 46 . . . -1.585E-7 47 . . . -1.168E-7 48 . . . -8.488E-8 49 . . . -6.054E-8 50 . . . -4.218E-8 51 . . . -2.854E-8 52 . . . -1.859E-8 53 . . . -1.152E-8 54 . . . -6.670E-9 55 . . . -3.514E-9 56 . . . -1.609E-9 57 . . . -5.85E-10 58 . . . -1.33E-10 59 . . . 5.167E-24 60 . . . 2.522E-24 ---- EQU TATMEQ Temperature-climate equation for atmosphere LOWER LEVEL UPPER MARGINAL 2 . . . -736.538 3 . . . -672.693 4 . . . -593.071 5 . . . -510.319 6 . . . -431.392 7 . . . -359.760 8 . . . -296.812 9 . . . -242.720 10 . . . -196.980 11 . . . -158.746 12 . . . -127.030 13 . . . -101.064 14 . . . -79.997 15 . . . -63.017 16 . . . -49.398 17 . . . -38.518 18 . . . -29.857 19 . . . -22.988 20 . . . -17.567 21 . . . -13.329 22 . . . -10.066 23 . . . -7.595 24 . . . -5.735 25 . . . -4.338 26 . . . -3.288 27 . . . -2.497 28 . . . -1.901 29 . . . -1.449 30 . . . -1.107 31 . . . -0.847 32 . . . -0.649 33 . . . -0.498 34 . . . -0.382 35 . . . -0.294 36 . . . -0.226 37 . . . -0.174 38 . . . -0.134 39 . . . -0.104 40 . . . -0.080 41 . . . -0.062 42 . . . -0.048 43 . . . -0.037 44 . . . -0.029 45 . . . -0.022 46 . . . -0.017 47 . . . -0.014 48 . . . -0.011 49 . . . -0.008 50 . . . -0.006 51 . . . -0.005 52 . . . -0.004 53 . . . -0.003 54 . . . -0.002 55 . . . -0.002 56 . . . -0.001 57 . . . -9.762E-4 58 . . . -6.623E-4 59 . . . -3.779E-4 60 . . . -1.082E-4 ---- EQU TATM0EQ Initial condition for atmospheric temperature LOWER LEVEL UPPER MARGINAL 1 0.731 0.731 0.731 -763.341 ---- EQU TOCEANEQ Temperature-climate equation for lower oceans LOWER LEVEL UPPER MARGINAL 2 . . . -219.446 3 . . . -184.261 4 . . . -152.756 5 . . . -125.342 6 . . . -101.969 7 . . . -82.342 8 . . . -66.055 9 . . . -52.669 10 . . . -41.756 11 . . . -32.925 12 . . . -25.833 13 . . . -20.171 14 . . . -15.675 15 . . . -12.122 16 . . . -9.328 17 . . . -7.143 18 . . . -5.444 19 . . . -4.134 20 . . . -3.131 21 . . . -2.370 22 . . . -1.795 23 . . . -1.362 24 . . . -1.035 25 . . . -0.788 26 . . . -0.602 27 . . . -0.460 28 . . . -0.352 29 . . . -0.270 30 . . . -0.207 31 . . . -0.159 32 . . . -0.122 33 . . . -0.094 34 . . . -0.073 35 . . . -0.056 36 . . . -0.043 37 . . . -0.033 38 . . . -0.026 39 . . . -0.020 40 . . . -0.016 41 . . . -0.012 42 . . . -0.009 43 . . . -0.007 44 . . . -0.006 45 . . . -0.004 46 . . . -0.003 47 . . . -0.003 48 . . . -0.002 49 . . . -0.002 50 . . . -0.001 51 . . . -8.580E-4 52 . . . -6.348E-4 53 . . . -4.598E-4 54 . . . -3.228E-4 55 . . . -2.163E-4 56 . . . -1.346E-4 57 . . . -7.385E-5 58 . . . -3.173E-5 59 . . . -7.144E-6 60 . . . 1.542E-20 ---- EQU TOCEAN0EQ Initial condition for lower ocean temperature LOWER LEVEL UPPER MARGINAL 1 0.007 0.007 0.007 -257.085 ---- EQU PERIODUEQ Instantaneous utility function equation LOWER LEVEL UPPER MARGINAL 1 1.000 1.000 1.000 335.773 2 1.000 1.000 1.000 316.686 3 1.000 1.000 1.000 289.492 4 1.000 1.000 1.000 259.533 5 1.000 1.000 1.000 229.757 6 1.000 1.000 1.000 201.694 7 1.000 1.000 1.000 176.051 8 1.000 1.000 1.000 153.069 9 1.000 1.000 1.000 132.727 10 1.000 1.000 1.000 114.872 11 1.000 1.000 1.000 99.289 12 1.000 1.000 1.000 85.740 13 1.000 1.000 1.000 73.993 14 1.000 1.000 1.000 63.826 15 1.000 1.000 1.000 55.038 16 1.000 1.000 1.000 47.450 17 1.000 1.000 1.000 40.902 18 1.000 1.000 1.000 35.253 19 1.000 1.000 1.000 30.382 20 1.000 1.000 1.000 26.183 21 1.000 1.000 1.000 22.563 22 1.000 1.000 1.000 19.443 23 1.000 1.000 1.000 16.754 24 1.000 1.000 1.000 14.437 25 1.000 1.000 1.000 12.440 26 1.000 1.000 1.000 10.719 27 1.000 1.000 1.000 9.237 28 1.000 1.000 1.000 7.959 29 1.000 1.000 1.000 6.858 30 1.000 1.000 1.000 5.909 31 1.000 1.000 1.000 5.092 32 1.000 1.000 1.000 4.388 33 1.000 1.000 1.000 3.781 34 1.000 1.000 1.000 3.258 35 1.000 1.000 1.000 2.807 36 1.000 1.000 1.000 2.419 37 1.000 1.000 1.000 2.084 38 1.000 1.000 1.000 1.796 39 1.000 1.000 1.000 1.547 40 1.000 1.000 1.000 1.333 41 1.000 1.000 1.000 1.149 42 1.000 1.000 1.000 0.990 43 1.000 1.000 1.000 0.853 44 1.000 1.000 1.000 0.735 45 1.000 1.000 1.000 0.633 46 1.000 1.000 1.000 0.546 47 1.000 1.000 1.000 0.470 48 1.000 1.000 1.000 0.405 49 1.000 1.000 1.000 0.349 50 1.000 1.000 1.000 0.301 51 1.000 1.000 1.000 0.259 52 1.000 1.000 1.000 0.223 53 1.000 1.000 1.000 0.192 54 1.000 1.000 1.000 0.166 55 1.000 1.000 1.000 0.143 56 1.000 1.000 1.000 0.123 57 1.000 1.000 1.000 0.106 58 1.000 1.000 1.000 0.091 59 1.000 1.000 1.000 0.079 60 1.000 1.000 1.000 0.068 ---- VAR MIU Emission control rate GHGs LOWER LEVEL UPPER MARGINAL 1 0.005 0.005 0.005 EPS 2 . 0.158 1.000 -3.04E-19 3 . 0.184 1.000 -2.49E-19 4 . 0.211 1.000 -2.05E-19 5 . 0.241 1.000 -1.68E-19 6 . 0.271 1.000 -1.37E-19 7 . 0.303 1.000 -1.10E-19 8 . 0.337 1.000 -8.63E-20 9 . 0.373 1.000 -6.45E-20 10 . 0.410 1.000 -4.40E-20 11 . 0.450 1.000 -2.41E-20 12 . 0.491 1.000 -4.10E-21 13 . 0.536 1.000 1.696E-20 14 . 0.583 1.000 4.031E-20 15 . 0.633 1.000 6.784E-20 16 . 0.687 1.000 1.029E-19 17 . 0.744 1.000 1.522E-19 18 . 0.806 1.000 2.322E-19 19 . 0.872 1.000 3.965E-19 20 . 0.943 1.000 9.796E-19 21 . 1.000 1.000 0.446 22 . 1.000 1.000 1.803 23 . 1.000 1.000 2.519 24 . 1.000 1.000 2.827 25 . 1.000 1.000 2.880 26 . 1.000 1.000 2.781 27 . 1.000 1.000 2.597 28 . 1.000 1.000 2.370 29 . 1.000 1.000 2.128 30 . 1.000 1.000 1.888 31 . 1.000 1.000 1.659 32 . 1.000 1.000 1.448 33 . 1.000 1.000 1.256 34 . 1.000 1.000 1.085 35 . 1.000 1.000 0.933 36 . 1.000 1.000 0.801 37 . 1.000 1.000 0.685 38 . 1.000 1.000 0.585 39 . 1.000 1.000 0.498 40 . 1.000 1.000 0.424 41 . 1.000 1.000 0.360 42 . 1.000 1.000 0.305 43 . 1.000 1.000 0.258 44 . 1.000 1.000 0.218 45 . 1.000 1.000 0.184 46 . 1.000 1.000 0.155 47 . 1.000 1.000 0.130 48 . 1.000 1.000 0.109 49 . 1.000 1.000 0.091 50 . 1.000 1.000 0.076 51 . 1.000 1.000 0.062 52 . 1.000 1.000 0.051 53 . 1.000 1.000 0.041 54 . 1.000 1.000 0.032 55 . 1.000 1.000 0.024 56 . 1.000 1.000 0.017 57 . 1.000 1.000 0.011 58 . 1.000 1.000 0.006 59 . 1.000 1.000 0.002 60 . 1.2277E-4 1.000 -1.58E-11 ---- VAR FORC Radiative forcing in watts per m2 LOWER LEVEL UPPER MARGINAL 1 -INF 1.791 +INF EPS 2 -INF 2.142 +INF EPS 3 -INF 2.453 +INF EPS 4 -INF 2.758 +INF EPS 5 -INF 3.056 +INF EPS 6 -INF 3.342 +INF EPS 7 -INF 3.615 +INF EPS 8 -INF 3.873 +INF EPS 9 -INF 4.118 +INF EPS 10 -INF 4.347 +INF EPS 11 -INF 4.560 +INF EPS 12 -INF 4.720 +INF EPS 13 -INF 4.861 +INF EPS 14 -INF 4.980 +INF EPS 15 -INF 5.075 +INF EPS 16 -INF 5.142 +INF EPS 17 -INF 5.174 +INF EPS 18 -INF 5.164 +INF EPS 19 -INF 5.102 +INF EPS 20 -INF 4.976 +INF EPS 21 -INF 4.784 +INF EPS 22 -INF 4.580 +INF EPS 23 -INF 4.410 +INF EPS 24 -INF 4.265 +INF EPS 25 -INF 4.139 +INF EPS 26 -INF 4.027 +INF EPS 27 -INF 3.925 +INF EPS 28 -INF 3.830 +INF EPS 29 -INF 3.742 +INF EPS 30 -INF 3.658 +INF EPS 31 -INF 3.578 +INF EPS 32 -INF 3.501 +INF EPS 33 -INF 3.426 +INF EPS 34 -INF 3.354 +INF EPS 35 -INF 3.284 +INF EPS 36 -INF 3.216 +INF EPS 37 -INF 3.149 +INF EPS 38 -INF 3.084 +INF EPS 39 -INF 3.021 +INF EPS 40 -INF 2.959 +INF EPS 41 -INF 2.898 +INF EPS 42 -INF 2.839 +INF EPS 43 -INF 2.782 +INF EPS 44 -INF 2.725 +INF EPS 45 -INF 2.670 +INF EPS 46 -INF 2.617 +INF EPS 47 -INF 2.565 +INF EPS 48 -INF 2.514 +INF EPS 49 -INF 2.464 +INF EPS 50 -INF 2.415 +INF EPS 51 -INF 2.368 +INF EPS 52 -INF 2.322 +INF EPS 53 -INF 2.277 +INF EPS 54 -INF 2.234 +INF EPS 55 -INF 2.191 +INF EPS 56 -INF 2.150 +INF EPS 57 -INF 2.109 +INF EPS 58 -INF 2.070 +INF EPS 59 -INF 2.032 +INF EPS 60 -INF -1.787 +INF EPS ---- VAR TATM Temperature of atmosphere in degrees C LOWER LEVEL UPPER MARGINAL 1 . 0.731 20.000 -7.80E-20 2 . 0.951 20.000 -5.92E-20 3 . 1.165 20.000 -4.77E-20 4 . 1.376 20.000 -3.98E-20 5 . 1.584 20.000 -3.42E-20 6 . 1.786 20.000 -2.99E-20 7 . 1.984 20.000 -2.66E-20 8 . 2.175 20.000 -2.39E-20 9 . 2.360 20.000 -2.17E-20 10 . 2.537 20.000 -2.00E-20 11 . 2.706 20.000 -1.85E-20 12 . 2.858 20.000 -1.73E-20 13 . 2.996 20.000 -1.63E-20 14 . 3.119 20.000 -1.55E-20 15 . 3.227 20.000 -1.48E-20 16 . 3.320 20.000 -1.43E-20 17 . 3.395 20.000 -1.39E-20 18 . 3.448 20.000 -1.36E-20 19 . 3.477 20.000 -1.34E-20 20 . 3.474 20.000 -1.35E-20 21 . 3.437 20.000 -1.37E-20 22 . 3.374 20.000 -1.40E-20 23 . 3.300 20.000 -1.44E-20 24 . 3.226 20.000 -1.48E-20 25 . 3.154 20.000 -1.53E-20 26 . 3.086 20.000 -1.57E-20 27 . 3.023 20.000 -1.61E-20 28 . 2.964 20.000 -1.65E-20 29 . 2.909 20.000 -1.69E-20 30 . 2.857 20.000 -1.73E-20 31 . 2.808 20.000 -1.76E-20 32 . 2.760 20.000 -1.80E-20 33 . 2.715 20.000 -1.84E-20 34 . 2.671 20.000 -1.88E-20 35 . 2.627 20.000 -1.91E-20 36 . 2.585 20.000 -1.95E-20 37 . 2.544 20.000 -1.99E-20 38 . 2.503 20.000 -2.03E-20 39 . 2.463 20.000 -2.07E-20 40 . 2.423 20.000 -2.11E-20 41 . 2.384 20.000 -2.15E-20 42 . 2.346 20.000 -2.19E-20 43 . 2.308 20.000 -2.23E-20 44 . 2.270 20.000 -2.27E-20 45 . 2.233 20.000 -2.32E-20 46 . 2.197 20.000 -2.36E-20 47 . 2.161 20.000 -2.41E-20 48 . 2.126 20.000 -2.45E-20 49 . 2.091 20.000 -2.50E-20 50 . 2.057 20.000 -2.55E-20 51 . 2.023 20.000 -2.60E-20 52 . 1.990 20.000 -2.65E-20 53 . 1.957 20.000 -2.70E-20 54 . 1.925 20.000 -2.75E-20 55 . 1.894 20.000 -2.80E-20 56 . 1.863 20.000 -2.85E-20 57 . 1.833 20.000 -2.91E-20 58 . 1.803 20.000 -2.96E-20 59 . 1.774 20.000 -3.01E-20 60 . 0.913 20.000 -6.17E-20 ---- VAR TOCEAN Temperatureof lower oceans degrees C LOWER LEVEL UPPER MARGINAL 1 -1.000 0.007 20.000 -5.59E-20 2 -1.000 0.043 20.000 -5.38E-20 3 -1.000 0.088 20.000 -5.14E-20 4 -1.000 0.142 20.000 -4.89E-20 5 -1.000 0.204 20.000 -4.62E-20 6 -1.000 0.273 20.000 -4.35E-20 7 -1.000 0.349 20.000 -4.09E-20 8 -1.000 0.430 20.000 -3.84E-20 9 -1.000 0.518 20.000 -3.60E-20 10 -1.000 0.610 20.000 -3.37E-20 11 -1.000 0.706 20.000 -3.16E-20 12 -1.000 0.806 20.000 -2.97E-20 13 -1.000 0.909 20.000 -2.79E-20 14 -1.000 1.013 20.000 -2.63E-20 15 -1.000 1.118 20.000 -2.48E-20 16 -1.000 1.224 20.000 -2.35E-20 17 -1.000 1.329 20.000 -2.23E-20 18 -1.000 1.432 20.000 -2.12E-20 19 -1.000 1.533 20.000 -2.02E-20 20 -1.000 1.630 20.000 -1.93E-20 21 -1.000 1.722 20.000 -1.85E-20 22 -1.000 1.808 20.000 -1.78E-20 23 -1.000 1.886 20.000 -1.73E-20 24 -1.000 1.957 20.000 -1.67E-20 25 -1.000 2.020 20.000 -1.63E-20 26 -1.000 2.077 20.000 -1.59E-20 27 -1.000 2.127 20.000 -1.56E-20 28 -1.000 2.172 20.000 -1.53E-20 29 -1.000 2.212 20.000 -1.51E-20 30 -1.000 2.247 20.000 -1.49E-20 31 -1.000 2.277 20.000 -1.47E-20 32 -1.000 2.304 20.000 -1.46E-20 33 -1.000 2.327 20.000 -1.45E-20 34 -1.000 2.346 20.000 -1.43E-20 35 -1.000 2.362 20.000 -1.43E-20 36 -1.000 2.375 20.000 -1.42E-20 37 -1.000 2.386 20.000 -1.41E-20 38 -1.000 2.394 20.000 -1.41E-20 39 -1.000 2.399 20.000 -1.41E-20 40 -1.000 2.402 20.000 -1.40E-20 41 -1.000 2.403 20.000 -1.40E-20 42 -1.000 2.403 20.000 -1.40E-20 43 -1.000 2.400 20.000 -1.41E-20 44 -1.000 2.395 20.000 -1.41E-20 45 -1.000 2.389 20.000 -1.41E-20 46 -1.000 2.381 20.000 -1.42E-20 47 -1.000 2.372 20.000 -1.42E-20 48 -1.000 2.361 20.000 -1.43E-20 49 -1.000 2.350 20.000 -1.43E-20 50 -1.000 2.337 20.000 -1.44E-20 51 -1.000 2.323 20.000 -1.45E-20 52 -1.000 2.308 20.000 -1.46E-20 53 -1.000 2.292 20.000 -1.46E-20 54 -1.000 2.275 20.000 -1.47E-20 55 -1.000 2.258 20.000 -1.48E-20 56 -1.000 2.239 20.000 -1.49E-20 57 -1.000 2.221 20.000 -1.51E-20 58 -1.000 2.201 20.000 -1.52E-20 59 -1.000 2.181 20.000 -1.53E-20 60 -1.000 2.161 20.000 -1.54E-20 ---- VAR MAT Carbon concentration in atmosphere GtC LOWER LEVEL UPPER MARGINAL 1 10.000 808.900 +INF -7.41E-23 2 10.000 863.108 +INF -6.94E-23 3 10.000 907.615 +INF -6.60E-23 4 10.000 954.046 +INF -6.27E-23 5 10.000 1001.582 +INF -5.97E-23 6 10.000 1049.507 +INF -5.70E-23 7 10.000 1097.239 +INF -5.45E-23 8 10.000 1144.301 +INF -5.22E-23 9 10.000 1190.270 +INF -5.02E-23 10 10.000 1234.726 +INF -4.84E-23 11 10.000 1277.209 +INF -4.67E-23 12 10.000 1317.180 +INF -4.53E-23 13 10.000 1353.969 +INF -4.41E-23 14 10.000 1386.732 +INF -4.30E-23 15 10.000 1414.417 +INF -4.22E-23 16 10.000 1435.729 +INF -4.15E-23 17 10.000 1449.086 +INF -4.12E-23 18 10.000 1452.574 +INF -4.11E-23 19 10.000 1443.893 +INF -4.13E-23 20 10.000 1420.329 +INF -4.20E-23 21 10.000 1378.787 +INF -4.33E-23 22 10.000 1323.823 +INF -4.51E-23 23 10.000 1280.089 +INF -4.66E-23 24 10.000 1244.333 +INF -4.80E-23 25 10.000 1214.294 +INF -4.92E-23 26 10.000 1188.395 +INF -5.03E-23 27 10.000 1165.537 +INF -5.13E-23 28 10.000 1144.951 +INF -5.22E-23 29 10.000 1126.098 +INF -5.31E-23 30 10.000 1108.600 +INF -5.39E-23 31 10.000 1092.188 +INF -5.47E-23 32 10.000 1076.673 +INF -5.55E-23 33 10.000 1061.917 +INF -5.63E-23 34 10.000 1047.822 +INF -5.71E-23 35 10.000 1034.312 +INF -5.78E-23 36 10.000 1021.335 +INF -5.86E-23 37 10.000 1008.847 +INF -5.93E-23 38 10.000 996.815 +INF -6.00E-23 39 10.000 985.213 +INF -6.07E-23 40 10.000 974.017 +INF -6.14E-23 41 10.000 963.209 +INF -6.21E-23 42 10.000 952.773 +INF -6.28E-23 43 10.000 942.692 +INF -6.35E-23 44 10.000 932.954 +INF -6.42E-23 45 10.000 923.546 +INF -6.48E-23 46 10.000 914.457 +INF -6.55E-23 47 10.000 905.674 +INF -6.61E-23 48 10.000 897.187 +INF -6.68E-23 49 10.000 888.987 +INF -6.74E-23 50 10.000 881.063 +INF -6.80E-23 51 10.000 873.407 +INF -6.86E-23 52 10.000 866.008 +INF -6.92E-23 53 10.000 858.859 +INF -6.98E-23 54 10.000 851.952 +INF -7.03E-23 55 10.000 845.277 +INF -7.09E-23 56 10.000 838.827 +INF -7.15E-23 57 10.000 832.596 +INF -7.20E-23 58 10.000 826.574 +INF -7.25E-23 59 10.000 820.756 +INF -7.30E-23 60 10.000 815.135 +INF -7.36E-23 ---- VAR MATAV Average concentrations LOWER LEVEL UPPER MARGINAL 1 . 836.004 +INF -7.08E-23 2 . 885.361 +INF -6.69E-23 3 . 930.830 +INF -6.36E-23 4 . 977.814 +INF -6.06E-23 5 . 1025.545 +INF -5.77E-23 6 . 1073.373 +INF -5.52E-23 7 . 1120.770 +INF -5.28E-23 8 . 1167.286 +INF -5.07E-23 9 . 1212.498 +INF -4.88E-23 10 . 1255.968 +INF -4.72E-23 11 . 1297.194 +INF -4.57E-23 12 . 1335.575 +INF -4.43E-23 13 . 1370.351 +INF -4.32E-23 14 . 1400.575 +INF -4.23E-23 15 . 1425.073 +INF -4.16E-23 16 . 1442.408 +INF -4.11E-23 17 . 1450.830 +INF -4.08E-23 18 . 1448.233 +INF -4.09E-23 19 . 1432.111 +INF -4.14E-23 20 . 1399.558 +INF -4.23E-23 21 . 1351.305 +INF -4.38E-23 22 . 1301.956 +INF -4.55E-23 23 . 1262.211 +INF -4.69E-23 24 . 1229.314 +INF -4.82E-23 25 . 1201.345 +INF -4.93E-23 26 . 1176.966 +INF -5.03E-23 27 . 1155.244 +INF -5.13E-23 28 . 1135.524 +INF -5.22E-23 29 . 1117.349 +INF -5.30E-23 30 . 1100.394 +INF -5.38E-23 31 . 1084.431 +INF -5.46E-23 32 . 1069.295 +INF -5.54E-23 33 . 1054.870 +INF -5.61E-23 34 . 1041.067 +INF -5.69E-23 35 . 1027.824 +INF -5.76E-23 36 . 1015.091 +INF -5.83E-23 37 . 1002.831 +INF -5.91E-23 38 . 991.014 +INF -5.98E-23 39 . 979.615 +INF -6.05E-23 40 . 968.613 +INF -6.11E-23 41 . 957.991 +INF -6.18E-23 42 . 947.732 +INF -6.25E-23 43 . 937.823 +INF -6.32E-23 44 . 928.250 +INF -6.38E-23 45 . 919.001 +INF -6.44E-23 46 . 910.065 +INF -6.51E-23 47 . 901.430 +INF -6.57E-23 48 . 893.087 +INF -6.63E-23 49 . 885.025 +INF -6.69E-23 50 . 877.235 +INF -6.75E-23 51 . 869.707 +INF -6.81E-23 52 . 862.434 +INF -6.87E-23 53 . 855.405 +INF -6.92E-23 54 . 848.614 +INF -6.98E-23 55 . 842.052 +INF -7.03E-23 56 . 835.712 +INF -7.09E-23 57 . 829.585 +INF -7.14E-23 58 . 823.665 +INF -7.19E-23 59 . 817.945 +INF -7.24E-23 60 . 407.567 +INF -1.45E-22 ---- VAR MU Carbon concentration in shallow oceans Gtc LOWER LEVEL UPPER MARGINAL 1 100.000 1255.000 +INF -5.13E-23 2 100.000 1280.635 +INF -5.02E-23 3 100.000 1312.775 +INF -4.88E-23 4 100.000 1348.628 +INF -4.74E-23 5 100.000 1388.018 +INF -4.60E-23 6 100.000 1430.640 +INF -4.45E-23 7 100.000 1476.095 +INF -4.30E-23 8 100.000 1523.939 +INF -4.16E-23 9 100.000 1573.698 +INF -4.02E-23 10 100.000 1624.892 +INF -3.88E-23 11 100.000 1677.030 +INF -3.76E-23 12 100.000 1729.608 +INF -3.63E-23 13 100.000 1782.094 +INF -3.52E-23 14 100.000 1833.906 +INF -3.42E-23 15 100.000 1884.390 +INF -3.32E-23 16 100.000 1932.787 +INF -3.23E-23 17 100.000 1978.207 +INF -3.15E-23 18 100.000 2019.588 +INF -3.09E-23 19 100.000 2055.665 +INF -3.03E-23 20 100.000 2084.919 +INF -2.98E-23 21 100.000 2105.545 +INF -2.95E-23 22 100.000 2115.413 +INF -2.94E-23 23 100.000 2113.569 +INF -2.94E-23 24 100.000 2103.864 +INF -2.96E-23 25 100.000 2088.965 +INF -2.98E-23 26 100.000 2070.717 +INF -3.01E-23 27 100.000 2050.392 +INF -3.04E-23 28 100.000 2028.871 +INF -3.07E-23 29 100.000 2006.754 +INF -3.11E-23 30 100.000 1984.454 +INF -3.14E-23 31 100.000 1962.251 +INF -3.18E-23 32 100.000 1940.332 +INF -3.22E-23 33 100.000 1918.821 +INF -3.26E-23 34 100.000 1897.798 +INF -3.29E-23 35 100.000 1877.313 +INF -3.33E-23 36 100.000 1857.393 +INF -3.37E-23 37 100.000 1838.052 +INF -3.41E-23 38 100.000 1819.296 +INF -3.44E-23 39 100.000 1801.119 +INF -3.48E-23 40 100.000 1783.516 +INF -3.52E-23 41 100.000 1766.476 +INF -3.55E-23 42 100.000 1749.985 +INF -3.59E-23 43 100.000 1734.031 +INF -3.62E-23 44 100.000 1718.600 +INF -3.66E-23 45 100.000 1703.676 +INF -3.69E-23 46 100.000 1689.244 +INF -3.73E-23 47 100.000 1675.290 +INF -3.76E-23 48 100.000 1661.799 +INF -3.79E-23 49 100.000 1648.756 +INF -3.82E-23 50 100.000 1636.148 +INF -3.86E-23 51 100.000 1623.960 +INF -3.89E-23 52 100.000 1612.179 +INF -3.92E-23 53 100.000 1600.792 +INF -3.95E-23 54 100.000 1589.786 +INF -3.98E-23 55 100.000 1579.149 +INF -4.00E-23 56 100.000 1568.868 +INF -4.03E-23 57 100.000 1558.933 +INF -4.06E-23 58 100.000 1549.330 +INF -4.09E-23 59 100.000 1540.051 +INF -4.11E-23 60 100.000 1531.083 +INF -4.14E-23 ---- VAR ML Carbon concentration in lower oceans GtC LOWER LEVEL UPPER MARGINAL 1 1000.000 18365.000 +INF -3.41E-24 2 1000.000 18370.477 +INF -3.41E-24 3 1000.000 18377.219 +INF -3.41E-24 4 1000.000 18385.547 +INF -3.41E-24 5 1000.000 18395.642 +INF -3.40E-24 6 1000.000 18407.675 +INF -3.40E-24 7 1000.000 18421.801 +INF -3.40E-24 8 1000.000 18438.156 +INF -3.40E-24 9 1000.000 18456.852 +INF -3.39E-24 10 1000.000 18477.978 +INF -3.39E-24 11 1000.000 18501.597 +INF -3.38E-24 12 1000.000 18527.750 +INF -3.38E-24 13 1000.000 18556.450 +INF -3.37E-24 14 1000.000 18587.685 +INF -3.37E-24 15 1000.000 18621.414 +INF -3.36E-24 16 1000.000 18657.561 +INF -3.35E-24 17 1000.000 18696.015 +INF -3.35E-24 18 1000.000 18736.620 +INF -3.34E-24 19 1000.000 18779.168 +INF -3.33E-24 20 1000.000 18823.387 +INF -3.32E-24 21 1000.000 18868.931 +INF -3.31E-24 22 1000.000 18915.364 +INF -3.31E-24 23 1000.000 18962.146 +INF -3.30E-24 24 1000.000 19008.689 +INF -3.29E-24 25 1000.000 19054.602 +INF -3.28E-24 26 1000.000 19099.627 +INF -3.27E-24 27 1000.000 19143.600 +INF -3.26E-24 28 1000.000 19186.418 +INF -3.26E-24 29 1000.000 19228.028 +INF -3.25E-24 30 1000.000 19268.401 +INF -3.24E-24 31 1000.000 19307.534 +INF -3.23E-24 32 1000.000 19345.434 +INF -3.23E-24 33 1000.000 19382.121 +INF -3.22E-24 34 1000.000 19417.617 +INF -3.22E-24 35 1000.000 19451.952 +INF -3.21E-24 36 1000.000 19485.155 +INF -3.20E-24 37 1000.000 19517.259 +INF -3.20E-24 38 1000.000 19548.295 +INF -3.19E-24 39 1000.000 19578.297 +INF -3.19E-24 40 1000.000 19607.297 +INF -3.18E-24 41 1000.000 19635.326 +INF -3.18E-24 42 1000.000 19662.415 +INF -3.17E-24 43 1000.000 19688.596 +INF -3.17E-24 44 1000.000 19713.897 +INF -3.16E-24 45 1000.000 19738.347 +INF -3.16E-24 46 1000.000 19761.976 +INF -3.16E-24 47 1000.000 19784.809 +INF -3.15E-24 48 1000.000 19806.873 +INF -3.15E-24 49 1000.000 19828.193 +INF -3.15E-24 50 1000.000 19848.795 +INF -3.14E-24 51 1000.000 19868.703 +INF -3.14E-24 52 1000.000 19887.939 +INF -3.14E-24 53 1000.000 19906.526 +INF -3.13E-24 54 1000.000 19924.485 +INF -3.13E-24 55 1000.000 19941.838 +INF -3.13E-24 56 1000.000 19958.606 +INF -3.12E-24 57 1000.000 19974.807 +INF -3.12E-24 58 1000.000 19990.460 +INF -3.12E-24 59 1000.000 20005.585 +INF -3.12E-24 60 1000.000 20020.199 +INF -3.11E-24 ---- VAR E CO2-equivalent emissions GtC LOWER LEVEL UPPER MARGINAL 1 . 85.320 +INF -6.94E-22 2 . 83.388 +INF -7.10E-22 3 . 90.613 +INF -6.54E-22 4 . 97.021 +INF -6.10E-22 5 . 102.578 +INF -5.77E-22 6 . 107.314 +INF -5.52E-22 7 . 111.260 +INF -5.32E-22 8 . 114.425 +INF -5.18E-22 9 . 116.776 +INF -5.07E-22 10 . 118.241 +INF -5.01E-22 11 . 118.702 +INF -4.99E-22 12 . 117.975 +INF -5.02E-22 13 . 115.810 +INF -5.11E-22 14 . 111.897 +INF -5.29E-22 15 . 105.857 +INF -5.59E-22 16 . 97.231 +INF -6.09E-22 17 . 85.474 +INF -6.93E-22 18 . 69.944 +INF -8.47E-22 19 . 49.910 +INF -1.19E-21 20 . 24.627 +INF -2.40E-21 21 . 1.337 +INF -4.43E-20 22 . 1.204 +INF -4.92E-20 23 . 1.083 +INF -5.47E-20 24 . 0.975 +INF -6.07E-20 25 . 0.877 +INF -6.75E-20 26 . 0.790 +INF -7.50E-20 27 . 0.711 +INF -8.33E-20 28 . 0.640 +INF -9.26E-20 29 . 0.576 +INF -1.03E-19 30 . 0.518 +INF -1.14E-19 31 . 0.466 +INF -1.27E-19 32 . 0.420 +INF -1.41E-19 33 . 0.378 +INF -1.57E-19 34 . 0.340 +INF -1.74E-19 35 . 0.306 +INF -1.94E-19 36 . 0.275 +INF -2.15E-19 37 . 0.248 +INF -2.39E-19 38 . 0.223 +INF -2.66E-19 39 . 0.201 +INF -2.95E-19 40 . 0.181 +INF -3.28E-19 41 . 0.163 +INF -3.64E-19 42 . 0.146 +INF -4.05E-19 43 . 0.132 +INF -4.50E-19 44 . 0.119 +INF -5.00E-19 45 . 0.107 +INF -5.55E-19 46 . 0.096 +INF -6.17E-19 47 . 0.086 +INF -6.85E-19 48 . 0.078 +INF -7.62E-19 49 . 0.070 +INF -8.46E-19 50 . 0.063 +INF -9.40E-19 51 . 0.057 +INF -1.04E-18 52 . 0.051 +INF -1.16E-18 53 . 0.046 +INF -1.29E-18 54 . 0.041 +INF -1.43E-18 55 . 0.037 +INF -1.59E-18 56 . 0.033 +INF -1.77E-18 57 . 0.030 +INF -1.97E-18 58 . 0.027 +INF -2.18E-18 59 . 0.024 +INF -2.43E-18 60 . 6855.000 +INF -8.64E-24 ---- VAR C Consumption trillions US dollars LOWER LEVEL UPPER MARGINAL 1 20.000 43.354 +INF -2.54E-21 2 20.000 54.199 +INF -1.73E-21 3 20.000 66.322 +INF -1.28E-21 4 20.000 79.624 +INF -9.93E-22 5 20.000 94.141 +INF -7.99E-22 6 20.000 109.993 +INF -6.58E-22 7 20.000 127.359 +INF -5.52E-22 8 20.000 146.451 +INF -4.68E-22 9 20.000 167.506 +INF -4.02E-22 10 20.000 190.785 +INF -3.47E-22 11 20.000 216.565 +INF -3.01E-22 12 20.000 245.179 +INF -2.63E-22 13 20.000 276.959 +INF -2.30E-22 14 20.000 312.265 +INF -2.03E-22 15 20.000 351.488 +INF -1.79E-22 16 20.000 395.053 +INF -1.58E-22 17 20.000 443.430 +INF -1.40E-22 18 20.000 497.144 +INF -1.24E-22 19 20.000 556.782 +INF -1.10E-22 20 20.000 623.020 +INF -9.82E-23 21 20.000 697.090 +INF -8.75E-23 22 20.000 781.240 +INF -7.78E-23 23 20.000 875.188 +INF -6.93E-23 24 20.000 979.598 +INF -6.17E-23 25 20.000 1095.268 +INF -5.51E-23 26 20.000 1223.116 +INF -4.92E-23 27 20.000 1364.177 +INF -4.41E-23 28 20.000 1519.593 +INF -3.95E-23 29 20.000 1690.612 +INF -3.55E-23 30 20.000 1878.587 +INF -3.19E-23 31 20.000 2084.978 +INF -2.87E-23 32 20.000 2311.352 +INF -2.58E-23 33 20.000 2559.388 +INF -2.33E-23 34 20.000 2830.882 +INF -2.11E-23 35 20.000 3127.750 +INF -1.91E-23 36 20.000 3452.037 +INF -1.73E-23 37 20.000 3805.917 +INF -1.56E-23 38 20.000 4191.703 +INF -1.42E-23 39 20.000 4611.853 +INF -1.29E-23 40 20.000 5068.976 +INF -1.17E-23 41 20.000 5565.835 +INF -1.07E-23 42 20.000 6105.361 +INF -9.73E-24 43 20.000 6690.651 +INF -8.88E-24 44 20.000 7324.982 +INF -8.11E-24 45 20.000 8011.811 +INF -7.41E-24 46 20.000 8754.789 +INF -6.78E-24 47 20.000 9557.762 +INF -6.21E-24 48 20.000 10424.778 +INF -5.69E-24 49 20.000 11360.099 +INF -5.22E-24 50 20.000 12368.200 +INF -4.80E-24 51 20.000 13453.783 +INF -4.41E-24 52 20.000 14621.778 +INF -4.06E-24 53 20.000 15877.352 +INF -3.73E-24 54 20.000 17225.917 +INF -3.44E-24 55 20.000 18673.129 +INF -3.18E-24 56 20.000 20224.906 +INF -2.93E-24 57 20.000 21887.422 +INF -2.71E-24 58 20.000 23667.120 +INF -2.50E-24 59 20.000 25570.715 +INF -2.32E-24 60 20.000 27895.416 +INF -2.12E-24 ---- VAR K Capital stock trillions US dollars LOWER LEVEL UPPER MARGINAL 1 100.000 137.000 +INF -1.60E-21 2 100.000 170.053 +INF -8.45E-22 3 100.000 212.167 +INF -5.28E-22 4 100.000 261.043 +INF -3.68E-22 5 100.000 315.604 +INF -2.75E-22 6 100.000 375.572 +INF -2.15E-22 7 100.000 441.194 +INF -1.74E-22 8 100.000 513.056 +INF -1.43E-22 9 100.000 591.961 +INF -1.20E-22 10 100.000 678.860 +INF -1.02E-22 11 100.000 774.818 +INF -8.78E-23 12 100.000 880.990 +INF -7.58E-23 13 100.000 998.714 +INF -6.59E-23 14 100.000 1129.399 +INF -5.75E-23 15 100.000 1274.549 +INF -5.04E-23 16 100.000 1435.787 +INF -4.43E-23 17 100.000 1614.883 +INF -3.91E-23 18 100.000 1813.779 +INF -3.46E-23 19 100.000 2034.629 +INF -3.06E-23 20 100.000 2279.845 +INF -2.72E-23 21 100.000 2552.172 +INF -2.42E-23 22 100.000 2856.041 +INF -2.15E-23 23 100.000 3199.341 +INF -1.91E-23 24 100.000 3584.023 +INF -1.70E-23 25 100.000 4012.643 +INF -1.51E-23 26 100.000 4488.342 +INF -1.35E-23 27 100.000 5014.806 +INF -1.21E-23 28 100.000 5596.238 +INF -1.08E-23 29 100.000 6237.323 +INF -9.65E-24 30 100.000 6943.217 +INF -8.65E-24 31 100.000 7719.533 +INF -7.77E-24 32 100.000 8572.345 +INF -6.99E-24 33 100.000 9508.192 +INF -6.29E-24 34 100.000 10534.090 +INF -5.68E-24 35 100.000 11657.551 +INF -5.12E-24 36 100.000 12886.600 +INF -4.63E-24 37 100.000 14229.797 +INF -4.19E-24 38 100.000 15696.264 +INF -3.80E-24 39 100.000 17295.704 +INF -3.44E-24 40 100.000 19038.433 +INF -3.13E-24 41 100.000 20935.405 +INF -2.84E-24 42 100.000 22998.237 +INF -2.59E-24 43 100.000 25239.241 +INF -2.36E-24 44 100.000 27671.449 +INF -2.15E-24 45 100.000 30308.645 +INF -1.96E-24 46 100.000 33165.390 +INF -1.79E-24 47 100.000 36257.055 +INF -1.64E-24 48 100.000 39599.845 +INF -1.50E-24 49 100.000 43210.835 +INF -1.37E-24 50 100.000 47107.993 +INF -1.26E-24 51 100.000 51310.211 +INF -1.16E-24 52 100.000 55837.334 +INF -1.06E-24 53 100.000 60710.190 +INF -9.77E-25 54 100.000 65950.613 +INF -8.99E-25 55 100.000 71581.478 +INF -8.29E-25 56 100.000 77626.722 +INF -7.64E-25 57 100.000 84111.374 +INF -7.05E-25 58 100.000 91061.579 +INF -6.51E-25 59 100.000 98504.627 +INF -6.02E-25 60 100.000 1.0647E+5 +INF -5.57E-25 ---- VAR CPC Per capita consumption thousands US dollars LOWER LEVEL UPPER MARGINAL 1 -INF 6.656 +INF EPS 2 -INF 7.602 +INF EPS 3 -INF 8.768 +INF EPS 4 -INF 10.117 +INF EPS 5 -INF 11.643 +INF EPS 6 -INF 13.353 +INF EPS 7 -INF 15.263 +INF EPS 8 -INF 17.393 +INF EPS 9 -INF 19.769 +INF EPS 10 -INF 22.417 +INF EPS 11 -INF 25.368 +INF EPS 12 -INF 28.657 +INF EPS 13 -INF 32.322 +INF EPS 14 -INF 36.403 +INF EPS 15 -INF 40.945 +INF EPS 16 -INF 45.995 +INF EPS 17 -INF 51.608 +INF EPS 18 -INF 57.844 +INF EPS 19 -INF 64.771 +INF EPS 20 -INF 72.467 +INF EPS 21 -INF 81.075 +INF EPS 22 -INF 90.856 +INF EPS 23 -INF 101.777 +INF EPS 24 -INF 113.916 +INF EPS 25 -INF 127.364 +INF EPS 26 -INF 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EPS 3 -INF 11.241 +INF EPS 4 -INF 12.971 +INF EPS 5 -INF 14.927 +INF EPS 6 -INF 17.119 +INF EPS 7 -INF 19.567 +INF EPS 8 -INF 22.299 +INF EPS 9 -INF 25.345 +INF EPS 10 -INF 28.740 +INF EPS 11 -INF 32.523 +INF EPS 12 -INF 36.740 +INF EPS 13 -INF 41.439 +INF EPS 14 -INF 46.671 +INF EPS 15 -INF 52.493 +INF EPS 16 -INF 58.968 +INF EPS 17 -INF 66.164 +INF EPS 18 -INF 74.159 +INF EPS 19 -INF 83.040 +INF EPS 20 -INF 92.906 +INF EPS 21 -INF 103.942 +INF EPS 22 -INF 116.482 +INF EPS 23 -INF 130.484 +INF EPS 24 -INF 146.046 +INF EPS 25 -INF 163.287 +INF EPS 26 -INF 182.344 +INF EPS 27 -INF 203.371 +INF EPS 28 -INF 226.539 +INF EPS 29 -INF 252.033 +INF EPS 30 -INF 280.054 +INF EPS 31 -INF 310.822 +INF EPS 32 -INF 344.568 +INF EPS 33 -INF 381.544 +INF EPS 34 -INF 422.017 +INF EPS 35 -INF 466.272 +INF EPS 36 -INF 514.616 +INF EPS 37 -INF 567.370 +INF EPS 38 -INF 624.882 +INF EPS 39 -INF 687.516 +INF EPS 40 -INF 755.661 +INF EPS 41 -INF 829.731 +INF EPS 42 -INF 910.161 +INF EPS 43 -INF 997.414 +INF EPS 44 -INF 1091.977 +INF EPS 45 -INF 1194.367 +INF EPS 46 -INF 1305.127 +INF EPS 47 -INF 1424.830 +INF EPS 48 -INF 1554.081 +INF EPS 49 -INF 1693.515 +INF EPS 50 -INF 1843.798 +INF EPS 51 -INF 2005.633 +INF EPS 52 -INF 2179.752 +INF EPS 53 -INF 2366.928 +INF EPS 54 -INF 2567.966 +INF EPS 55 -INF 2783.710 +INF EPS 56 -INF 3015.043 +INF EPS 57 -INF 3262.883 +INF EPS 58 -INF 3528.193 +INF EPS 59 -INF 3811.973 +INF EPS 60 -INF 4158.530 +INF EPS ---- VAR I Investment trillions US dollars LOWER LEVEL UPPER MARGINAL 1 . 12.228 +INF -4.84E-21 2 . 15.287 +INF -3.87E-21 3 . 18.707 +INF -3.17E-21 4 . 22.458 +INF -2.64E-21 5 . 26.553 +INF -2.23E-21 6 . 31.024 +INF -1.91E-21 7 . 35.922 +INF -1.65E-21 8 . 41.307 +INF -1.43E-21 9 . 47.246 +INF -1.25E-21 10 . 53.811 +INF -1.10E-21 11 . 61.083 +INF -9.70E-22 12 . 69.153 +INF -8.56E-22 13 . 78.117 +INF -7.58E-22 14 . 88.075 +INF -6.72E-22 15 . 99.138 +INF -5.97E-22 16 . 111.425 +INF -5.32E-22 17 . 125.070 +INF -4.74E-22 18 . 140.220 +INF -4.22E-22 19 . 157.041 +INF -3.77E-22 20 . 175.724 +INF -3.37E-22 21 . 196.615 +INF -3.01E-22 22 . 220.350 +INF -2.69E-22 23 . 246.848 +INF -2.40E-22 24 . 276.297 +INF -2.14E-22 25 . 308.922 +INF -1.92E-22 26 . 344.982 +INF -1.72E-22 27 . 384.768 +INF -1.54E-22 28 . 428.604 +INF -1.38E-22 29 . 476.840 +INF -1.24E-22 30 . 529.858 +INF -1.12E-22 31 . 588.071 +INF -1.01E-22 32 . 651.920 +INF -9.08E-23 33 . 721.879 +INF -8.20E-23 34 . 798.454 +INF -7.42E-23 35 . 882.186 +INF -6.71E-23 36 . 973.652 +INF -6.08E-23 37 . 1073.464 +INF -5.52E-23 38 . 1182.275 +INF -5.01E-23 39 . 1300.779 +INF -4.55E-23 40 . 1429.711 +INF -4.14E-23 41 . 1569.851 +INF -3.77E-23 42 . 1722.025 +INF -3.44E-23 43 . 1887.107 +INF -3.14E-23 44 . 2066.021 +INF -2.87E-23 45 . 2259.742 +INF -2.62E-23 46 . 2469.300 +INF -2.40E-23 47 . 2695.779 +INF -2.20E-23 48 . 2940.322 +INF -2.01E-23 49 . 3204.131 +INF -1.85E-23 50 . 3488.467 +INF -1.70E-23 51 . 3794.657 +INF -1.56E-23 52 . 4124.092 +INF -1.44E-23 53 . 4478.228 +INF -1.32E-23 54 . 4858.592 +INF -1.22E-23 55 . 5266.780 +INF -1.12E-23 56 . 5704.461 +INF -1.04E-23 57 . 6173.376 +INF -9.59E-24 58 . 6675.342 +INF -8.87E-24 59 . 7212.253 +INF -8.21E-24 60 . 7867.938 +INF -7.53E-24 ---- VAR S Gross savings rate as fraction of gross world product LOWER LEVEL UPPER MARGINAL 1 0.220 0.220 0.220 EPS 2 0.220 0.220 0.220 EPS 3 0.220 0.220 0.220 EPS 4 0.220 0.220 0.220 EPS 5 0.220 0.220 0.220 EPS 6 0.220 0.220 0.220 EPS 7 0.220 0.220 0.220 EPS 8 0.220 0.220 0.220 EPS 9 0.220 0.220 0.220 EPS 10 0.220 0.220 0.220 EPS 11 0.220 0.220 0.220 EPS 12 0.220 0.220 0.220 EPS 13 0.220 0.220 0.220 EPS 14 0.220 0.220 0.220 EPS 15 0.220 0.220 0.220 EPS 16 0.220 0.220 0.220 EPS 17 0.220 0.220 0.220 EPS 18 0.220 0.220 0.220 EPS 19 0.220 0.220 0.220 EPS 20 0.220 0.220 0.220 EPS 21 0.220 0.220 0.220 EPS 22 0.220 0.220 0.220 EPS 23 0.220 0.220 0.220 EPS 24 0.220 0.220 0.220 EPS 25 0.220 0.220 0.220 EPS 26 0.220 0.220 0.220 EPS 27 0.220 0.220 0.220 EPS 28 0.220 0.220 0.220 EPS 29 0.220 0.220 0.220 EPS 30 0.220 0.220 0.220 EPS 31 0.220 0.220 0.220 EPS 32 0.220 0.220 0.220 EPS 33 0.220 0.220 0.220 EPS 34 0.220 0.220 0.220 EPS 35 0.220 0.220 0.220 EPS 36 0.220 0.220 0.220 EPS 37 0.220 0.220 0.220 EPS 38 0.220 0.220 0.220 EPS 39 0.220 0.220 0.220 EPS 40 0.220 0.220 0.220 EPS 41 0.220 0.220 0.220 EPS 42 0.220 0.220 0.220 EPS 43 0.220 0.220 0.220 EPS 44 0.220 0.220 0.220 EPS 45 0.220 0.220 0.220 EPS 46 0.220 0.220 0.220 EPS 47 0.220 0.220 0.220 EPS 48 0.220 0.220 0.220 EPS 49 0.220 0.220 0.220 EPS 50 0.220 0.220 0.220 EPS 51 0.220 0.220 0.220 EPS 52 0.220 0.220 0.220 EPS 53 0.220 0.220 0.220 EPS 54 0.220 0.220 0.220 EPS 55 0.220 0.220 0.220 EPS 56 0.220 0.220 0.220 EPS 57 0.220 0.220 0.220 EPS 58 0.220 0.220 0.220 EPS 59 0.220 0.220 0.220 EPS 60 0.220 0.220 0.220 EPS ---- VAR RI Real interest rate per annum LOWER LEVEL UPPER MARGINAL 1 -INF 0.057 +INF EPS 2 -INF 0.057 +INF EPS 3 -INF 0.055 +INF EPS 4 -INF 0.052 +INF EPS 5 -INF 0.050 +INF EPS 6 -INF 0.048 +INF EPS 7 -INF 0.046 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-4.22E-23 26 . 1568.098 +INF -3.78E-23 27 . 1748.946 +INF -3.39E-23 28 . 1948.197 +INF -3.04E-23 29 . 2167.452 +INF -2.73E-23 30 . 2408.446 +INF -2.46E-23 31 . 2673.049 +INF -2.22E-23 32 . 2963.272 +INF -2.00E-23 33 . 3281.266 +INF -1.80E-23 34 . 3629.336 +INF -1.63E-23 35 . 4009.937 +INF -1.48E-23 36 . 4425.689 +INF -1.34E-23 37 . 4879.381 +INF -1.21E-23 38 . 5373.979 +INF -1.10E-23 39 . 5912.633 +INF -1.00E-23 40 . 6498.687 +INF -9.11E-24 41 . 7135.687 +INF -8.30E-24 42 . 7827.386 +INF -7.57E-24 43 . 8577.758 +INF -6.90E-24 44 . 9391.002 +INF -6.31E-24 45 . 10271.553 +INF -5.77E-24 46 . 11224.089 +INF -5.28E-24 47 . 12253.541 +INF -4.83E-24 48 . 13365.100 +INF -4.43E-24 49 . 14564.229 +INF -4.07E-24 50 . 15856.667 +INF -3.73E-24 51 . 17248.440 +INF -3.43E-24 52 . 18745.870 +INF -3.16E-24 53 . 20355.580 +INF -2.91E-24 54 . 22084.509 +INF -2.68E-24 55 . 23939.910 +INF -2.47E-24 56 . 25929.367 +INF -2.28E-24 57 . 28060.797 +INF -2.11E-24 58 . 30342.462 +INF -1.95E-24 59 . 32782.969 +INF 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EPS 60 -INF 0.692 +INF EPS LOWER LEVEL UPPER MARGINAL ---- VAR UTILITY -INF 1.5016E+5 +INF . **** REPORT SUMMARY : 0 NONOPT 0 INFEASIBLE 0 UNBOUNDED 0 ERRORS GAMS Rev 237 LEX-LEG 23.7.1 x86_64/Linux 09/14/11 00:07:33 Page 14 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m E x e c u t i o n **** REPORT FILE SUMMARY dice_orig_decade_sol /scratch/neos/solver/jobs/2429421/dice_orig_decade_sol.put EXECUTION TIME = 0.006 SECONDS 3 Mb LEX237-237 Jul 7, 2011 USER: NEOS Server G100907:1412AS-LNX University of Wisconsin-Madison DC8499 License for teaching and research at degree granting institutions **** FILE SUMMARY Input /scratch/neos/solver/jobs/2429421/MODEL.gms Output /scratch/neos/solver/jobs/2429421/solve.out NEOS Server