NEOS Server Home ************************************************************* NEOS Server Version 5.0 Job# : 2429415 Password : LcthXsWG Solver : nco:SNOPT:GAMS Start : 2011-09-14 00:00:31 End : 2011-09-14 00:01:08 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 00:00:31 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 = 0.002 SECONDS 3 Mb LEX237-237 Jul 7, 2011 GAMS Rev 237 LEX-LEG 23.7.1 x86_64/Linux 09/14/11 00:00:31 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 = 0.007 SECONDS 4 Mb LEX237-237 Jul 7, 2011 GAMS Rev 237 LEX-LEG 23.7.1 x86_64/Linux 09/14/11 00:00:31 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 SNOPT FROM LINE 306 **** SOLVER STATUS 1 Normal Completion **** MODEL STATUS 2 Locally Optimal **** OBJECTIVE VALUE 150163.1752 RESOURCE USAGE, LIMIT 37.203 99999.000 ITERATION COUNT, LIMIT 10335 99900 EVALUATION ERRORS 0 0 SNOPT 7.2-4 Jul 14, 2011 23.7.1 LEX 26789.26792 LEG x86_64/Linux GAMS/SNOPT, Large Scale Nonlinear SQP Solver S N O P T 7.2-4 (June 2006) P. E. Gill, UC San Diego W. Murray and M. A. Saunders, Stanford University Work space allocated -- 3.25 Mb EXIT - Optimal Solution found, objective: 150163.2 ---- EQU CCTFIRST First period cumulative carbon LOWER LEVEL UPPER MARGINAL 1 . . . EPS ---- EQU CCACCA Cumulative carbon emissions LOWER LEVEL UPPER MARGINAL 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 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 . . . 8.7856E-4 39 . . . 6.1547E-4 40 . . . 4.1570E-4 41 . . . 2.5107E-4 42 . . . 1.8488E-4 43 . . . 1.3251E-4 44 . . . 9.4099E-5 45 . . . 6.4028E-5 46 . . . 6.1674E-5 47 . . . 4.9034E-5 48 . . . 3.2957E-5 49 . . . 2.7837E-5 50 . . . 2.9940E-5 51 . . . 7.6848E-6 52 . . . 8.4210E-7 53 . . . 6.8333E-7 54 . . . 3.5777E-5 55 . . . 9.2447E-6 56 . . . 5.7165E-6 57 . . . 4.7338E-6 58 . . . 4.8014E-6 59 . . . -1.786E-6 60 . . . 3.9415E-6 ---- 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 . . . 8.5777E-4 39 . . . 6.0150E-4 40 . . . 4.0672E-4 41 . . . 2.4603E-4 42 . . . 1.7913E-4 43 . . . 1.2820E-4 44 . . . 9.1126E-5 45 . . . 6.1757E-5 46 . . . 6.0508E-5 47 . . . 4.8134E-5 48 . . . 3.2370E-5 49 . . . 2.7355E-5 50 . . . 2.5081E-5 51 . . . 7.2942E-6 52 . . . 8.1289E-7 53 . . . 6.5361E-7 54 . . . 3.078E-11 55 . . . 9.1092E-6 56 . . . 5.6350E-6 57 . . . 4.6681E-6 58 . . . 4.7365E-6 59 . . . -9.577E-7 60 . . . 4.7958E-9 ---- 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 . . . 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 CC Consumption equation LOWER LEVEL UPPER MARGINAL 1 . . . 1163.668 2 . . . 768.654 3 . . . 497.826 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 . . . 8.7991E-4 39 . . . 6.2667E-4 40 . . . 4.4733E-4 41 . . . 3.2004E-4 42 . . . 2.3843E-4 43 . . . 1.7047E-4 44 . . . 1.2125E-4 45 . . . 9.4162E-5 46 . . . 8.9643E-5 47 . . . 7.0068E-5 48 . . . 5.1787E-5 49 . . . 4.2879E-5 50 . . . 4.9034E-5 51 . . . 1.6871E-5 52 . . . 7.7958E-6 53 . . . 6.7809E-6 54 . . . 4.8186E-5 55 . . . 1.4699E-5 56 . . . 1.0078E-5 57 . . . 8.3733E-6 58 . . . 8.0504E-6 59 . . . 6.8563E-6 60 . . . 5.8732E-6 ---- 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 . . 9.6723E-4 32 -INF . . 6.8157E-4 33 -INF . . 4.8201E-4 34 -INF . . 3.4218E-4 35 -INF . . 2.4376E-4 36 -INF . . 1.7420E-4 37 -INF . . 1.2409E-4 38 -INF . . 8.6803E-5 39 -INF . . 5.6964E-5 40 -INF . . 2.9714E-5 41 -INF -1727.116 . . 42 -INF -686.878 . . 43 -INF -453.299 . . 44 -INF -6917.932 . . 45 -INF -1.283E+4 . . 46 -INF -9916.803 . . 47 -INF -1.112E+4 . . 48 -INF -1.387E+4 . . 49 -INF -2.065E+4 . . 50 -INF -410.545 . . 51 -INF -536.125 . . 52 -INF -1.959E+4 . . 53 -INF -4.468E+4 . . 54 -INF -1.006E+4 . . 55 -INF -2.008E+4 . . 56 -INF -2.349E+4 . . 57 -INF -2.528E+4 . . 58 -INF -2.331E+4 . . 59 -INF -2.644E+4 . . 60 -INF -2.811E+4 . . ---- 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 -2643.161 . . ---- 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 -0.001 34 0.340 0.340 0.340 -0.001 35 0.306 0.306 0.306 -8.497E-4 36 0.275 0.275 0.275 -6.399E-4 37 0.248 0.248 0.248 -4.748E-4 38 0.223 0.223 0.223 -3.452E-4 39 0.201 0.201 0.201 -2.447E-4 40 0.181 0.181 0.181 -1.690E-4 41 0.163 0.163 0.163 -1.133E-4 42 0.146 0.146 0.146 -6.975E-5 43 0.132 0.132 0.132 -3.133E-5 44 0.119 0.119 0.119 -6.057E-6 45 0.107 0.107 0.107 -4.102E-6 46 0.096 0.096 0.096 -7.134E-6 47 0.086 0.086 0.086 -3.114E-6 48 0.078 0.078 0.078 -2.085E-6 49 0.070 0.070 0.070 -1.754E-6 50 0.063 0.063 0.063 -1.875E-6 51 0.057 0.057 0.057 -4.808E-7 52 0.051 0.051 0.051 -1.943E-6 53 0.046 0.046 0.046 -3.057E-6 54 0.041 0.041 0.041 -2.217E-6 55 0.037 0.037 0.037 -6.757E-7 56 0.033 0.033 0.033 -3.523E-7 57 0.030 0.030 0.030 -5.315E-7 58 0.027 0.027 0.027 -2.929E-7 59 0.024 0.024 0.024 1.0331E-7 60 0.022 0.022 0.022 -1.865E-7 ---- EQU SEQ Savings rate equation LOWER LEVEL UPPER MARGINAL 1 . . . -1936.025 2 . . . 861.918 3 . . . 1783.439 4 . . . 1899.053 5 . . . 1704.736 6 . . . 1419.981 7 . . . 1136.670 8 . . . 888.851 9 . . . 684.994 10 . . . 523.049 11 . . . 397.280 12 . . . 300.023 13 . . . 225.503 14 . . . 168.757 15 . . . 125.775 16 . . . 93.325 17 . . . 68.986 18 . . . 50.893 19 . . . 37.776 20 . . . 28.793 21 . . . 22.687 22 . . . 17.028 23 . . . 12.719 24 . . . 9.476 25 . . . 7.049 26 . . . 5.234 27 . . . 3.877 28 . . . 2.860 29 . . . 2.094 30 . . . 1.515 31 . . . 1.073 32 . . . 0.734 33 . . . 0.472 34 . . . 0.271 35 . . . 0.123 36 . . . 0.018 37 . . . -0.014 38 . . . 0.062 39 . . . 0.336 40 . . . 0.974 41 . . . 2.281 42 . . . 1.826 43 . . . 1.433 44 . . . 1.122 45 . . . 0.905 46 . . . 0.820 47 . . . 0.674 48 . . . 0.533 49 . . . 0.451 50 . . . 0.446 51 . . . 0.238 52 . . . 0.146 53 . . . 0.127 54 . . . 0.334 55 . . . 0.169 56 . . . 0.129 57 . . . 0.109 58 . . . 0.099 59 . . . 0.087 60 . . . 0.074 ---- 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 -162.039 3 0.012 0.012 0.012 -147.993 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 -6.568 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 -0.955 26 0.300 0.300 0.300 -0.724 27 0.300 0.300 0.300 -0.550 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 -0.187 32 0.300 0.300 0.300 -0.143 33 0.300 0.300 0.300 -0.110 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 -0.029 39 0.300 0.300 0.300 -0.021 40 0.300 0.300 0.300 -0.015 41 0.300 0.300 0.300 -0.011 42 0.300 0.300 0.300 -0.008 43 0.300 0.300 0.300 -0.006 44 0.300 0.300 0.300 -0.005 45 0.300 0.300 0.300 -0.004 46 0.300 0.300 0.300 -0.003 47 0.300 0.300 0.300 -0.002 48 0.300 0.300 0.300 -0.002 49 0.300 0.300 0.300 -0.001 50 0.300 0.300 0.300 -0.001 51 0.300 0.300 0.300 -5.494E-4 52 0.300 0.300 0.300 -4.379E-4 53 0.300 0.300 0.300 -6.067E-4 54 0.300 0.300 0.300 -8.791E-4 55 0.300 0.300 0.300 -4.409E-4 56 0.300 0.300 0.300 -3.023E-4 57 0.300 0.300 0.300 -2.141E-4 58 0.300 0.300 0.300 -1.222E-4 59 0.300 0.300 0.300 9.4231E-6 60 0.300 0.300 0.300 -6.492E-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 . . . -0.001 35 . . . -0.001 36 . . . -8.497E-4 37 . . . -6.399E-4 38 . . . -4.748E-4 39 . . . -3.452E-4 40 . . . -2.447E-4 41 . . . -1.690E-4 42 . . . -1.133E-4 43 . . . -6.975E-5 44 . . . -3.133E-5 45 . . . -6.057E-6 46 . . . -4.102E-6 47 . . . -7.134E-6 48 . . . -3.114E-6 49 . . . -2.085E-6 50 . . . -1.754E-6 51 . . . -7.804E-8 52 . . . -4.808E-7 53 . . . -1.943E-6 54 . . . -3.057E-6 55 . . . -2.217E-6 56 . . . -6.757E-7 57 . . . -3.523E-7 58 . . . -5.315E-7 59 . . . -2.929E-7 60 . . . 1.0331E-7 ---- EQU MMATAVEQ Average concentrations equation LOWER LEVEL UPPER MARGINAL 1 . . . EPS 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 . . . -9.470E-4 32 . . . -7.367E-4 33 . . . -5.737E-4 34 . . . -4.470E-4 35 . . . -3.482E-4 36 . . . -2.708E-4 37 . . . -2.095E-4 38 . . . -1.604E-4 39 . . . -1.204E-4 40 . . . -8.739E-5 41 . . . -6.268E-5 42 . . . -4.912E-5 43 . . . -3.882E-5 44 . . . -1.339E-5 45 . . . 8.4971E-6 46 . . . -4.778E-6 47 . . . -4.158E-6 48 . . . 1.5522E-6 49 . . . -2.670E-6 50 . . . -4.713E-7 51 . . . 1.3557E-6 52 . . . 1.0547E-6 53 . . . 1.4561E-7 54 . . . -2.611E-6 55 . . . -6.927E-7 56 . . . -6.150E-8 57 . . . 2.2632E-7 58 . . . -8.183E-7 59 . . . 6.5113E-8 60 . . . 1.4150E-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 . . . -0.001 29 . . . -0.001 30 . . . -8.890E-4 31 . . . -6.811E-4 32 . . . -5.191E-4 33 . . . -3.928E-4 34 . . . -2.945E-4 35 . . . -2.179E-4 36 . . . -1.586E-4 37 . . . -1.130E-4 38 . . . -7.839E-5 39 . . . -5.256E-5 40 . . . -3.372E-5 41 . . . -2.027E-5 42 . . . -1.085E-5 43 . . . -4.769E-6 44 . . . -2.019E-6 45 . . . -1.676E-6 46 . . . -1.497E-6 47 . . . -9.414E-7 48 . . . -7.482E-7 49 . . . -6.391E-7 50 . . . -5.490E-7 51 . . . -6.345E-7 52 . . . -6.890E-7 53 . . . -5.864E-7 54 . . . -3.391E-7 55 . . . -1.448E-7 56 . . . -9.279E-8 57 . . . -6.865E-8 58 . . . -1.991E-8 59 . . . 1.0043E-8 60 . . . EPS ---- 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 . . . -9.316E-4 13 . . . -7.240E-4 14 . . . -5.626E-4 15 . . . -4.372E-4 16 . . . -3.395E-4 17 . . . -2.634E-4 18 . . . -2.042E-4 19 . . . -1.580E-4 20 . . . -1.221E-4 21 . . . -9.414E-5 22 . . . -7.249E-5 23 . . . -5.573E-5 24 . . . -4.276E-5 25 . . . -3.272E-5 26 . . . -2.496E-5 27 . . . -1.896E-5 28 . . . -1.433E-5 29 . . . -1.076E-5 30 . . . -8.010E-6 31 . . . -5.905E-6 32 . . . -4.299E-6 33 . . . -3.084E-6 34 . . . -2.172E-6 35 . . . -1.497E-6 36 . . . -1.006E-6 37 . . . -6.552E-7 38 . . . -4.121E-7 39 . . . -2.489E-7 40 . . . -1.442E-7 41 . . . -8.125E-8 42 . . . -4.756E-8 43 . . . -3.279E-8 44 . . . -2.657E-8 45 . . . -2.141E-8 46 . . . -1.680E-8 47 . . . -1.390E-8 48 . . . -1.161E-8 49 . . . -9.644E-9 50 . . . -7.957E-9 51 . . . -5.997E-9 52 . . . -3.860E-9 53 . . . -2.038E-9 54 . . . -9.83E-10 55 . . . -5.33E-10 56 . . . -2.45E-10 57 . . . -3.09E-11 58 . . . 3.132E-11 59 . . . EPS 60 . . . EPS ---- EQU TATMEQ Temperature-climate equation for atmosphere LOWER LEVEL UPPER MARGINAL 2 . . . -736.539 3 . . . -672.694 4 . . . -593.072 5 . . . -510.320 6 . . . -431.393 7 . . . -359.761 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 . . . -22.987 20 . . . -17.567 21 . . . -13.328 22 . . . -10.066 23 . . . -7.595 24 . . . -5.736 25 . . . -4.339 26 . . . -3.289 27 . . . -2.498 28 . . . -1.902 29 . . . -1.450 30 . . . -1.108 31 . . . -0.848 32 . . . -0.650 33 . . . -0.499 34 . . . -0.383 35 . . . -0.294 36 . . . -0.225 37 . . . -0.172 38 . . . -0.130 39 . . . -0.096 40 . . . -0.069 41 . . . -0.049 42 . . . -0.038 43 . . . -0.029 44 . . . -0.022 45 . . . -0.017 46 . . . -0.014 47 . . . -0.011 48 . . . -0.008 49 . . . -0.006 50 . . . -0.005 51 . . . -0.002 52 . . . -0.002 53 . . . -0.003 54 . . . -0.004 55 . . . -0.002 56 . . . -0.001 57 . . . -9.732E-4 58 . . . -5.553E-4 59 . . . 4.2832E-5 60 . . . -2.951E-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 . . . -219.445 3 . . . -184.261 4 . . . -152.756 5 . . . -125.342 6 . . . -101.968 7 . . . -82.341 8 . . . -66.054 9 . . . -52.668 10 . . . -41.755 11 . . . -32.924 12 . . . -25.832 13 . . . -20.170 14 . . . -15.674 15 . . . -12.121 16 . . . -9.327 17 . . . -7.141 18 . . . -5.443 19 . . . -4.133 20 . . . -3.130 21 . . . -2.368 22 . . . -1.794 23 . . . -1.360 24 . . . -1.034 25 . . . -0.787 26 . . . -0.600 27 . . . -0.458 28 . . . -0.349 29 . . . -0.267 30 . . . -0.204 31 . . . -0.156 32 . . . -0.119 33 . . . -0.091 34 . . . -0.069 35 . . . -0.052 36 . . . -0.039 37 . . . -0.029 38 . . . -0.022 39 . . . -0.016 40 . . . -0.012 41 . . . -0.009 42 . . . -0.007 43 . . . -0.006 44 . . . -0.004 45 . . . -0.003 46 . . . -0.003 47 . . . -0.002 48 . . . -0.002 49 . . . -0.001 50 . . . -9.412E-4 51 . . . -8.172E-4 52 . . . -7.219E-4 53 . . . -5.683E-4 54 . . . -3.206E-4 55 . . . -1.982E-4 56 . . . -1.132E-4 57 . . . -5.154E-5 58 . . . -1.568E-5 59 . . . -1.948E-5 60 . . . EPS ---- 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 0.005 231.409 2 . 0.158 1.000 . 3 . 0.184 1.000 . 4 . 0.211 1.000 . 5 . 0.241 1.000 . 6 . 0.271 1.000 . 7 . 0.303 1.000 . 8 . 0.337 1.000 . 9 . 0.373 1.000 . 10 . 0.410 1.000 . 11 . 0.450 1.000 . 12 . 0.491 1.000 . 13 . 0.536 1.000 . 14 . 0.583 1.000 . 15 . 0.633 1.000 . 16 . 0.687 1.000 -3.402E-4 17 . 0.744 1.000 0.001 18 . 0.806 1.000 . 19 . 0.873 1.000 -0.002 20 . 0.943 1.000 5.6805E-4 21 . 1.000 1.000 0.446 22 . 1.000 1.000 1.800 23 . 1.000 1.000 2.513 24 . 1.000 1.000 2.818 25 . 1.000 1.000 2.869 26 . 1.000 1.000 2.766 27 . 1.000 1.000 2.578 28 . 1.000 1.000 2.347 29 . 1.000 1.000 2.099 30 . 1.000 1.000 1.853 31 . 1.000 1.000 1.617 32 . 1.000 1.000 1.397 33 . 1.000 1.000 1.195 34 . 1.000 1.000 1.011 35 . 1.000 1.000 0.845 36 . 1.000 1.000 0.695 37 . 1.000 1.000 0.560 38 . 1.000 1.000 0.441 39 . 1.000 1.000 0.337 40 . 1.000 1.000 0.251 41 . 1.000 1.000 0.185 42 . 1.000 1.000 0.115 43 . 1.000 1.000 0.049 44 . 1.000 1.000 1.2172E-7 45 . 1.000 1.000 -4.850E-8 46 . 1.000 1.000 0.007 47 . 1.000 1.000 -5.63E-10 48 . 1.000 1.000 -4.045E-9 49 . 1.000 1.000 -1.246E-9 50 . 0.999 1.000 . 51 . 1.000 1.000 -9.24E-10 52 . 1.000 1.000 0.007 53 . 1.000 1.000 0.011 54 . 1.000 1.000 -2.866E-9 55 . 1.000 1.000 2.4044E-4 56 . 1.000 1.000 -5.92E-10 57 . 1.000 1.000 6.0237E-4 58 . 0.997 1.000 . 59 . 0.970 1.000 . 60 . 0.866 1.000 . ---- VAR FORC Radiative forcing in watts per m2 LOWER LEVEL UPPER MARGINAL 1 -INF 1.791 +INF . 2 -INF 2.142 +INF . 3 -INF 2.453 +INF . 4 -INF 2.758 +INF . 5 -INF 3.056 +INF . 6 -INF 3.342 +INF . 7 -INF 3.615 +INF . 8 -INF 3.873 +INF . 9 -INF 4.118 +INF . 10 -INF 4.347 +INF . 11 -INF 4.560 +INF . 12 -INF 4.720 +INF . 13 -INF 4.861 +INF . 14 -INF 4.980 +INF . 15 -INF 5.075 +INF . 16 -INF 5.142 +INF . 17 -INF 5.174 +INF . 18 -INF 5.164 +INF . 19 -INF 5.102 +INF . 20 -INF 4.976 +INF . 21 -INF 4.784 +INF . 22 -INF 4.580 +INF . 23 -INF 4.410 +INF . 24 -INF 4.265 +INF . 25 -INF 4.139 +INF . 26 -INF 4.026 +INF . 27 -INF 3.924 +INF . 28 -INF 3.830 +INF . 29 -INF 3.742 +INF . 30 -INF 3.658 +INF . 31 -INF 3.578 +INF . 32 -INF 3.501 +INF . 33 -INF 3.426 +INF . 34 -INF 3.354 +INF . 35 -INF 3.284 +INF . 36 -INF 3.215 +INF . 37 -INF 3.149 +INF . 38 -INF 3.084 +INF . 39 -INF 3.020 +INF . 40 -INF 2.958 +INF . 41 -INF 2.898 +INF . 42 -INF 2.839 +INF . 43 -INF 2.781 +INF . 44 -INF 2.726 +INF . 45 -INF 2.671 +INF . 46 -INF 2.617 +INF . 47 -INF 2.566 +INF . 48 -INF 2.515 +INF . 49 -INF 2.465 +INF . 50 -INF 2.426 +INF . 51 -INF 2.386 +INF . 52 -INF 2.337 +INF . 53 -INF 2.290 +INF . 54 -INF 2.245 +INF . 55 -INF 2.202 +INF . 56 -INF 2.159 +INF . 57 -INF 2.119 +INF . 58 -INF 2.101 +INF . 59 -INF 2.325 +INF . 60 -INF -1.262 +INF . ---- VAR TATM Temperature of atmosphere in degrees C LOWER LEVEL UPPER MARGINAL 1 . 0.731 20.000 . 2 . 0.951 20.000 . 3 . 1.165 20.000 . 4 . 1.376 20.000 . 5 . 1.584 20.000 . 6 . 1.786 20.000 . 7 . 1.984 20.000 . 8 . 2.175 20.000 . 9 . 2.360 20.000 . 10 . 2.537 20.000 . 11 . 2.706 20.000 . 12 . 2.858 20.000 . 13 . 2.996 20.000 . 14 . 3.119 20.000 . 15 . 3.227 20.000 . 16 . 3.320 20.000 . 17 . 3.395 20.000 . 18 . 3.448 20.000 . 19 . 3.477 20.000 . 20 . 3.474 20.000 . 21 . 3.437 20.000 . 22 . 3.373 20.000 . 23 . 3.300 20.000 . 24 . 3.226 20.000 . 25 . 3.153 20.000 . 26 . 3.086 20.000 . 27 . 3.023 20.000 . 28 . 2.964 20.000 . 29 . 2.909 20.000 . 30 . 2.857 20.000 . 31 . 2.808 20.000 . 32 . 2.760 20.000 . 33 . 2.715 20.000 . 34 . 2.670 20.000 . 35 . 2.627 20.000 . 36 . 2.585 20.000 . 37 . 2.544 20.000 . 38 . 2.503 20.000 . 39 . 2.463 20.000 . 40 . 2.423 20.000 . 41 . 2.384 20.000 . 42 . 2.346 20.000 . 43 . 2.308 20.000 . 44 . 2.270 20.000 . 45 . 2.233 20.000 . 46 . 2.197 20.000 . 47 . 2.161 20.000 . 48 . 2.126 20.000 . 49 . 2.092 20.000 . 50 . 2.059 20.000 . 51 . 2.029 20.000 . 52 . 1.997 20.000 . 53 . 1.965 20.000 . 54 . 1.933 20.000 . 55 . 1.901 20.000 . 56 . 1.870 20.000 . 57 . 1.840 20.000 . 58 . 1.814 20.000 . 59 . 1.846 20.000 . 60 . 1.076 20.000 . ---- VAR TOCEAN Temperatureof lower oceans degrees C LOWER LEVEL UPPER MARGINAL 1 -1.000 0.007 20.000 . 2 -1.000 0.043 20.000 . 3 -1.000 0.088 20.000 . 4 -1.000 0.142 20.000 . 5 -1.000 0.204 20.000 . 6 -1.000 0.273 20.000 . 7 -1.000 0.349 20.000 . 8 -1.000 0.430 20.000 . 9 -1.000 0.518 20.000 . 10 -1.000 0.610 20.000 . 11 -1.000 0.706 20.000 . 12 -1.000 0.806 20.000 . 13 -1.000 0.909 20.000 . 14 -1.000 1.013 20.000 . 15 -1.000 1.118 20.000 . 16 -1.000 1.224 20.000 . 17 -1.000 1.329 20.000 . 18 -1.000 1.432 20.000 . 19 -1.000 1.533 20.000 . 20 -1.000 1.630 20.000 . 21 -1.000 1.722 20.000 . 22 -1.000 1.808 20.000 . 23 -1.000 1.886 20.000 . 24 -1.000 1.957 20.000 . 25 -1.000 2.020 20.000 . 26 -1.000 2.077 20.000 . 27 -1.000 2.127 20.000 . 28 -1.000 2.172 20.000 . 29 -1.000 2.212 20.000 . 30 -1.000 2.247 20.000 . 31 -1.000 2.277 20.000 . 32 -1.000 2.304 20.000 . 33 -1.000 2.326 20.000 . 34 -1.000 2.346 20.000 . 35 -1.000 2.362 20.000 . 36 -1.000 2.375 20.000 . 37 -1.000 2.386 20.000 . 38 -1.000 2.394 20.000 . 39 -1.000 2.399 20.000 . 40 -1.000 2.402 20.000 . 41 -1.000 2.403 20.000 . 42 -1.000 2.402 20.000 . 43 -1.000 2.400 20.000 . 44 -1.000 2.395 20.000 . 45 -1.000 2.389 20.000 . 46 -1.000 2.381 20.000 . 47 -1.000 2.372 20.000 . 48 -1.000 2.361 20.000 . 49 -1.000 2.350 20.000 . 50 -1.000 2.337 20.000 . 51 -1.000 2.323 20.000 . 52 -1.000 2.308 20.000 . 53 -1.000 2.293 20.000 . 54 -1.000 2.276 20.000 . 55 -1.000 2.259 20.000 . 56 -1.000 2.241 20.000 . 57 -1.000 2.223 20.000 . 58 -1.000 2.203 20.000 . 59 -1.000 2.184 20.000 . 60 -1.000 2.167 20.000 . ---- VAR MAT Carbon concentration in atmosphere GtC LOWER LEVEL UPPER MARGINAL 1 10.000 808.900 +INF . 2 10.000 863.108 +INF . 3 10.000 907.615 +INF -5.57E-17 4 10.000 954.046 +INF 4.267E-16 5 10.000 1001.583 +INF -6.22E-16 6 10.000 1049.507 +INF 1.206E-16 7 10.000 1097.239 +INF 1.855E-16 8 10.000 1144.300 +INF -2.32E-17 9 10.000 1190.270 +INF -2.55E-16 10 10.000 1234.726 +INF 1.252E-16 11 10.000 1277.210 +INF -1.55E-16 12 10.000 1317.183 +INF 1.855E-16 13 10.000 1353.975 +INF -1.02E-16 14 10.000 1386.742 +INF 5.798E-17 15 10.000 1414.431 +INF -1.74E-17 16 10.000 1435.743 +INF . 17 10.000 1449.098 +INF . 18 10.000 1452.579 +INF -1.10E-17 19 10.000 1443.855 +INF . 20 10.000 1420.231 +INF 2.282E-16 21 10.000 1378.677 +INF . 22 10.000 1323.732 +INF . 23 10.000 1280.012 +INF . 24 10.000 1244.266 +INF . 25 10.000 1214.234 +INF . 26 10.000 1188.341 +INF . 27 10.000 1165.487 +INF . 28 10.000 1144.904 +INF . 29 10.000 1126.054 +INF . 30 10.000 1108.558 +INF . 31 10.000 1092.148 +INF . 32 10.000 1076.635 +INF . 33 10.000 1061.880 +INF . 34 10.000 1047.786 +INF . 35 10.000 1034.278 +INF . 36 10.000 1021.302 +INF . 37 10.000 1008.815 +INF . 38 10.000 996.784 +INF . 39 10.000 985.182 +INF . 40 10.000 973.987 +INF . 41 10.000 963.181 +INF . 42 10.000 952.745 +INF . 43 10.000 942.665 +INF . 44 10.000 932.928 +INF . 45 10.000 923.650 +INF . 46 10.000 914.573 +INF . 47 10.000 905.768 +INF . 48 10.000 897.406 +INF . 49 10.000 889.167 +INF . 50 10.000 881.381 +INF . 51 10.000 876.466 +INF . 52 10.000 868.600 +INF . 53 10.000 861.028 +INF . 54 10.000 853.815 +INF . 55 10.000 847.014 +INF . 56 10.000 840.381 +INF . 57 10.000 834.063 +INF . 58 10.000 827.925 +INF . 59 10.000 828.769 +INF . 60 10.000 897.091 +INF -1.45E-21 ---- VAR MATAV Average concentrations LOWER LEVEL UPPER MARGINAL 1 . 836.004 +INF . 2 . 885.361 +INF . 3 . 930.830 +INF . 4 . 977.814 +INF . 5 . 1025.545 +INF . 6 . 1073.373 +INF . 7 . 1120.769 +INF . 8 . 1167.285 +INF . 9 . 1212.498 +INF . 10 . 1255.968 +INF . 11 . 1297.196 +INF . 12 . 1335.579 +INF . 13 . 1370.359 +INF . 14 . 1400.587 +INF . 15 . 1425.087 +INF . 16 . 1442.420 +INF . 17 . 1450.838 +INF . 18 . 1448.217 +INF . 19 . 1432.043 +INF . 20 . 1399.454 +INF . 21 . 1351.205 +INF . 22 . 1301.872 +INF . 23 . 1262.139 +INF . 24 . 1229.250 +INF . 25 . 1201.288 +INF . 26 . 1176.914 +INF . 27 . 1155.195 +INF . 28 . 1135.479 +INF . 29 . 1117.306 +INF . 30 . 1100.353 +INF . 31 . 1084.391 +INF . 32 . 1069.257 +INF . 33 . 1054.833 +INF . 34 . 1041.032 +INF . 35 . 1027.790 +INF . 36 . 1015.058 +INF . 37 . 1002.799 +INF . 38 . 990.983 +INF . 39 . 979.585 +INF . 40 . 968.584 +INF . 41 . 957.963 +INF . 42 . 947.705 +INF . 43 . 937.797 +INF . 44 . 928.289 +INF . 45 . 919.112 +INF . 46 . 910.170 +INF . 47 . 901.587 +INF . 48 . 893.286 +INF . 49 . 885.274 +INF . 50 . 878.923 +INF . 51 . 872.533 +INF . 52 . 864.814 +INF . 53 . 857.422 +INF . 54 . 850.415 +INF . 55 . 843.697 +INF . 56 . 837.222 +INF . 57 . 830.994 +INF . 58 . 828.347 +INF . 59 . 862.930 +INF . 60 . 448.545 +INF . ---- VAR MU Carbon concentration in shallow oceans Gtc LOWER LEVEL UPPER MARGINAL 1 100.000 1255.000 +INF . 2 100.000 1280.635 +INF . 3 100.000 1312.775 +INF . 4 100.000 1348.628 +INF . 5 100.000 1388.018 +INF . 6 100.000 1430.640 +INF . 7 100.000 1476.095 +INF . 8 100.000 1523.939 +INF . 9 100.000 1573.698 +INF . 10 100.000 1624.892 +INF . 11 100.000 1677.030 +INF . 12 100.000 1729.608 +INF . 13 100.000 1782.094 +INF . 14 100.000 1833.907 +INF . 15 100.000 1884.393 +INF . 16 100.000 1932.792 +INF . 17 100.000 1978.214 +INF . 18 100.000 2019.596 +INF . 19 100.000 2055.672 +INF . 20 100.000 2084.919 +INF . 21 100.000 2105.526 +INF . 22 100.000 2115.376 +INF . 23 100.000 2113.521 +INF . 24 100.000 2103.808 +INF . 25 100.000 2088.905 +INF . 26 100.000 2070.654 +INF . 27 100.000 2050.328 +INF . 28 100.000 2028.806 +INF . 29 100.000 2006.690 +INF . 30 100.000 1984.391 +INF . 31 100.000 1962.189 +INF . 32 100.000 1940.272 +INF . 33 100.000 1918.762 +INF . 34 100.000 1897.741 +INF . 35 100.000 1877.257 +INF . 36 100.000 1857.339 +INF . 37 100.000 1838.000 +INF . 38 100.000 1819.244 +INF . 39 100.000 1801.070 +INF . 40 100.000 1783.468 +INF . 41 100.000 1766.429 +INF . 42 100.000 1749.940 +INF . 43 100.000 1733.987 +INF . 44 100.000 1718.557 +INF . 45 100.000 1703.634 +INF . 46 100.000 1689.228 +INF . 47 100.000 1675.298 +INF . 48 100.000 1661.823 +INF . 49 100.000 1648.818 +INF . 50 100.000 1636.234 +INF . 51 100.000 1624.094 +INF . 52 100.000 1612.872 +INF . 53 100.000 1601.874 +INF . 54 100.000 1591.119 +INF . 55 100.000 1580.638 +INF . 56 100.000 1570.468 +INF . 57 100.000 1560.591 +INF . 58 100.000 1551.024 +INF . 59 100.000 1541.752 +INF . 60 100.000 1534.052 +INF EPS ---- VAR ML Carbon concentration in lower oceans GtC LOWER LEVEL UPPER MARGINAL 1 1000.000 18365.000 +INF . 2 1000.000 18370.477 +INF . 3 1000.000 18377.219 +INF . 4 1000.000 18385.547 +INF . 5 1000.000 18395.642 +INF . 6 1000.000 18407.675 +INF . 7 1000.000 18421.801 +INF . 8 1000.000 18438.156 +INF . 9 1000.000 18456.852 +INF . 10 1000.000 18477.978 +INF . 11 1000.000 18501.597 +INF . 12 1000.000 18527.750 +INF . 13 1000.000 18556.450 +INF . 14 1000.000 18587.685 +INF . 15 1000.000 18621.414 +INF . 16 1000.000 18657.561 +INF . 17 1000.000 18696.016 +INF . 18 1000.000 18736.621 +INF . 19 1000.000 18779.170 +INF . 20 1000.000 18823.389 +INF . 21 1000.000 18868.933 +INF . 22 1000.000 18915.365 +INF . 23 1000.000 18962.145 +INF . 24 1000.000 19008.686 +INF . 25 1000.000 19054.596 +INF . 26 1000.000 19099.618 +INF . 27 1000.000 19143.587 +INF . 28 1000.000 19186.403 +INF . 29 1000.000 19228.009 +INF . 30 1000.000 19268.379 +INF . 31 1000.000 19307.509 +INF . 32 1000.000 19345.406 +INF . 33 1000.000 19382.090 +INF . 34 1000.000 19417.583 +INF . 35 1000.000 19451.915 +INF . 36 1000.000 19485.116 +INF . 37 1000.000 19517.217 +INF . 38 1000.000 19548.251 +INF . 39 1000.000 19578.250 +INF . 40 1000.000 19607.248 +INF . 41 1000.000 19635.274 +INF . 42 1000.000 19662.362 +INF . 43 1000.000 19688.540 +INF . 44 1000.000 19713.839 +INF . 45 1000.000 19738.288 +INF . 46 1000.000 19761.914 +INF . 47 1000.000 19784.747 +INF . 48 1000.000 19806.811 +INF . 49 1000.000 19828.133 +INF . 50 1000.000 19848.739 +INF . 51 1000.000 19868.651 +INF . 52 1000.000 19887.893 +INF . 53 1000.000 19906.515 +INF . 54 1000.000 19924.529 +INF . 55 1000.000 19941.948 +INF . 56 1000.000 19958.790 +INF . 57 1000.000 19975.070 +INF . 58 1000.000 19990.806 +INF . 59 1000.000 20006.014 +INF . 60 1000.000 20020.712 +INF . ---- VAR E CO2-equivalent emissions GtC LOWER LEVEL UPPER MARGINAL 1 . 85.320 +INF . 2 . 83.388 +INF . 3 . 90.613 +INF . 4 . 97.022 +INF . 5 . 102.578 +INF . 6 . 107.313 +INF . 7 . 111.260 +INF . 8 . 114.425 +INF . 9 . 116.776 +INF . 10 . 118.241 +INF . 11 . 118.704 +INF . 12 . 117.979 +INF . 13 . 115.815 +INF . 14 . 111.903 +INF . 15 . 105.858 +INF . 16 . 97.231 +INF . 17 . 85.469 +INF . 18 . 69.901 +INF . 19 . 49.841 +INF . 20 . 24.597 +INF . 21 . 1.337 +INF . 22 . 1.204 +INF . 23 . 1.083 +INF . 24 . 0.975 +INF . 25 . 0.877 +INF . 26 . 0.790 +INF . 27 . 0.711 +INF . 28 . 0.640 +INF . 29 . 0.576 +INF . 30 . 0.518 +INF . 31 . 0.466 +INF . 32 . 0.420 +INF . 33 . 0.378 +INF . 34 . 0.340 +INF . 35 . 0.306 +INF . 36 . 0.275 +INF . 37 . 0.248 +INF . 38 . 0.223 +INF . 39 . 0.201 +INF . 40 . 0.181 +INF . 41 . 0.163 +INF . 42 . 0.146 +INF . 43 . 0.132 +INF . 44 . 0.248 +INF . 45 . 0.143 +INF . 46 . 0.097 +INF . 47 . 0.228 +INF . 48 . 0.078 +INF . 49 . 0.236 +INF . 50 . 2.856 +INF 1.7971E-6 51 . 0.156 +INF . 52 . 0.051 +INF . 53 . 0.046 +INF . 54 . 0.138 +INF . 55 . 0.037 +INF . 56 . 0.087 +INF . 57 . 0.030 +INF . 58 . 6.780 +INF . 59 . 75.319 +INF . 60 . 318.086 +INF 1.8649E-7 ---- VAR C Consumption trillions US dollars LOWER LEVEL UPPER MARGINAL 1 20.000 43.354 +INF . 2 20.000 54.199 +INF . 3 20.000 66.322 +INF . 4 20.000 79.624 +INF . 5 20.000 94.141 +INF . 6 20.000 109.993 +INF . 7 20.000 127.359 +INF . 8 20.000 146.451 +INF . 9 20.000 167.506 +INF . 10 20.000 190.785 +INF . 11 20.000 216.565 +INF . 12 20.000 245.179 +INF . 13 20.000 276.959 +INF . 14 20.000 312.266 +INF . 15 20.000 351.488 +INF . 16 20.000 395.053 +INF . 17 20.000 443.430 +INF . 18 20.000 497.142 +INF . 19 20.000 556.779 +INF . 20 20.000 623.019 +INF . 21 20.000 697.091 +INF . 22 20.000 781.243 +INF . 23 20.000 875.192 +INF . 24 20.000 979.603 +INF . 25 20.000 1095.273 +INF . 26 20.000 1223.122 +INF . 27 20.000 1364.183 +INF . 28 20.000 1519.599 +INF . 29 20.000 1690.619 +INF . 30 20.000 1878.594 +INF . 31 20.000 2084.985 +INF . 32 20.000 2311.359 +INF . 33 20.000 2559.396 +INF . 34 20.000 2830.890 +INF . 35 20.000 3127.760 +INF . 36 20.000 3452.047 +INF . 37 20.000 3805.927 +INF . 38 20.000 4191.714 +INF . 39 20.000 4611.865 +INF . 40 20.000 5068.988 +INF . 41 20.000 5565.849 +INF . 42 20.000 5964.048 +INF . 43 20.000 6553.183 +INF . 44 20.000 7209.357 +INF . 45 20.000 7333.268 +INF . 46 20.000 6997.964 +INF . 47 20.000 7378.409 +INF . 48 20.000 7794.732 +INF . 49 20.000 7986.788 +INF . 50 20.000 6838.197 +INF . 51 20.000 10312.891 +INF . 52 20.000 12809.078 +INF . 53 20.000 12728.573 +INF . 54 20.000 5366.012 +INF . 55 20.000 8669.163 +INF . 56 20.000 9524.176 +INF . 57 20.000 9693.198 +INF . 58 20.000 9269.498 +INF . 59 20.000 9940.323 +INF . 60 20.000 9588.683 +INF . ---- VAR K Capital stock trillions US dollars LOWER LEVEL UPPER MARGINAL 1 100.000 137.000 +INF . 2 100.000 170.053 +INF . 3 100.000 212.167 +INF . 4 100.000 261.043 +INF . 5 100.000 315.604 +INF . 6 100.000 375.572 +INF . 7 100.000 441.194 +INF . 8 100.000 513.056 +INF . 9 100.000 591.961 +INF . 10 100.000 678.860 +INF . 11 100.000 774.818 +INF . 12 100.000 880.990 +INF . 13 100.000 998.715 +INF . 14 100.000 1129.399 +INF . 15 100.000 1274.549 +INF . 16 100.000 1435.787 +INF . 17 100.000 1614.882 +INF . 18 100.000 1813.777 +INF . 19 100.000 2034.623 +INF . 20 100.000 2279.833 +INF . 21 100.000 2552.165 +INF . 22 100.000 2856.043 +INF . 23 100.000 3199.350 +INF . 24 100.000 3584.037 +INF . 25 100.000 4012.661 +INF . 26 100.000 4488.362 +INF . 27 100.000 5014.828 +INF . 28 100.000 5596.261 +INF . 29 100.000 6237.348 +INF . 30 100.000 6943.243 +INF . 31 100.000 7719.561 +INF . 32 100.000 8572.375 +INF . 33 100.000 9508.223 +INF . 34 100.000 10534.124 +INF . 35 100.000 11657.587 +INF . 36 100.000 12886.638 +INF . 37 100.000 14229.838 +INF . 38 100.000 15696.307 +INF . 39 100.000 17295.750 +INF . 40 100.000 19038.483 +INF . 41 100.000 20935.458 +INF . 42 100.000 21271.178 +INF 1.9738E-5 43 100.000 23551.600 +INF 1.4009E-5 44 100.000 26241.976 +INF 9.8259E-6 45 100.000 22566.165 +INF 7.8721E-6 46 100.000 15719.622 +INF 1.0560E-5 47 100.000 15302.139 +INF 9.0936E-6 48 100.000 15025.070 +INF 6.5760E-6 49 100.000 13352.705 +INF 6.4040E-6 50 100.000 6534.746 +INF 1.0267E-5 51 100.000 21155.206 +INF 1.3904E-6 52 100.000 35927.884 +INF 1.1327E-7 53 100.000 29066.093 +INF 1.1182E-7 54 100.000 1351.761 +INF . 55 100.000 5547.719 +INF 5.5563E-6 56 100.000 6308.435 +INF 3.3194E-6 57 100.000 5570.123 +INF 3.1684E-6 58 100.000 4003.955 +INF 4.2751E-6 59 100.000 4228.674 +INF . 60 100.000 3066.958 +INF . ---- VAR CPC Per capita consumption thousands US dollars LOWER LEVEL UPPER MARGINAL 1 -INF 6.656 +INF . 2 -INF 7.602 +INF . 3 -INF 8.768 +INF . 4 -INF 10.117 +INF . 5 -INF 11.643 +INF . 6 -INF 13.353 +INF . 7 -INF 15.263 +INF . 8 -INF 17.393 +INF . 9 -INF 19.769 +INF . 10 -INF 22.417 +INF . 11 -INF 25.368 +INF . 12 -INF 28.657 +INF . 13 -INF 32.322 +INF . 14 -INF 36.403 +INF . 15 -INF 40.945 +INF . 16 -INF 45.995 +INF . 17 -INF 51.608 +INF . 18 -INF 57.844 +INF . 19 -INF 64.771 +INF . 20 -INF 72.467 +INF . 21 -INF 81.075 +INF . 22 -INF 90.856 +INF . 23 -INF 101.778 +INF . 24 -INF 113.916 +INF . 25 -INF 127.364 +INF . 26 -INF 142.229 +INF . 27 -INF 158.630 +INF . 28 -INF 176.701 +INF . 29 -INF 196.586 +INF . 30 -INF 218.443 +INF . 31 -INF 242.442 +INF . 32 -INF 268.764 +INF . 33 -INF 297.605 +INF . 34 -INF 329.174 +INF . 35 -INF 363.694 +INF . 36 -INF 401.401 +INF . 37 -INF 442.550 +INF . 38 -INF 487.409 +INF . 39 -INF 536.264 +INF . 40 -INF 589.417 +INF . 41 -INF 647.192 +INF . 42 -INF 693.494 +INF . 43 -INF 761.998 +INF . 44 -INF 838.297 +INF . 45 -INF 852.706 +INF . 46 -INF 813.717 +INF . 47 -INF 857.955 +INF . 48 -INF 906.364 +INF . 49 -INF 928.696 +INF . 50 -INF 795.139 +INF . 51 -INF 1199.173 +INF . 52 -INF 1489.428 +INF . 53 -INF 1480.067 +INF . 54 -INF 623.955 +INF . 55 -INF 1008.042 +INF . 56 -INF 1107.462 +INF . 57 -INF 1127.116 +INF . 58 -INF 1077.849 +INF . 59 -INF 1155.852 +INF . 60 -INF 1114.963 +INF . ---- VAR PCY Per capita income thousands US dollars LOWER LEVEL UPPER MARGINAL 1 -INF 8.533 +INF . 2 -INF 9.746 +INF . 3 -INF 11.241 +INF . 4 -INF 12.971 +INF . 5 -INF 14.927 +INF . 6 -INF 17.119 +INF . 7 -INF 19.567 +INF . 8 -INF 22.299 +INF . 9 -INF 25.345 +INF . 10 -INF 28.740 +INF . 11 -INF 32.523 +INF . 12 -INF 36.740 +INF . 13 -INF 41.439 +INF . 14 -INF 46.671 +INF . 15 -INF 52.493 +INF . 16 -INF 58.968 +INF . 17 -INF 66.164 +INF . 18 -INF 74.159 +INF . 19 -INF 83.039 +INF . 20 -INF 92.906 +INF . 21 -INF 103.942 +INF . 22 -INF 116.483 +INF . 23 -INF 130.484 +INF . 24 -INF 146.046 +INF . 25 -INF 163.288 +INF . 26 -INF 182.345 +INF . 27 -INF 203.372 +INF . 28 -INF 226.540 +INF . 29 -INF 252.034 +INF . 30 -INF 280.055 +INF . 31 -INF 310.823 +INF . 32 -INF 344.569 +INF . 33 -INF 381.545 +INF . 34 -INF 422.018 +INF . 35 -INF 466.274 +INF . 36 -INF 514.617 +INF . 37 -INF 567.372 +INF . 38 -INF 624.883 +INF . 39 -INF 687.517 +INF . 40 -INF 755.663 +INF . 41 -INF 829.733 +INF . 42 -INF 889.095 +INF . 43 -INF 976.921 +INF . 44 -INF 1074.740 +INF . 45 -INF 1093.212 +INF . 46 -INF 1043.227 +INF . 47 -INF 1099.942 +INF . 48 -INF 1162.005 +INF . 49 -INF 1190.636 +INF . 50 -INF 1019.409 +INF . 51 -INF 1537.402 +INF . 52 -INF 1909.523 +INF . 53 -INF 1897.521 +INF . 54 -INF 799.942 +INF . 55 -INF 1292.362 +INF . 56 -INF 1419.824 +INF . 57 -INF 1445.021 +INF . 58 -INF 1381.857 +INF . 59 -INF 1481.861 +INF . 60 -INF 1429.440 +INF . ---- VAR I Investment trillions US dollars LOWER LEVEL UPPER MARGINAL 1 . 12.228 +INF . 2 . 15.287 +INF . 3 . 18.707 +INF . 4 . 22.458 +INF . 5 . 26.553 +INF . 6 . 31.024 +INF . 7 . 35.922 +INF . 8 . 41.307 +INF . 9 . 47.246 +INF . 10 . 53.811 +INF . 11 . 61.083 +INF . 12 . 69.153 +INF . 13 . 78.117 +INF . 14 . 88.075 +INF . 15 . 99.138 +INF . 16 . 111.425 +INF . 17 . 125.070 +INF . 18 . 140.220 +INF . 19 . 157.040 +INF . 20 . 175.724 +INF . 21 . 196.616 +INF . 22 . 220.351 +INF . 23 . 246.849 +INF . 24 . 276.298 +INF . 25 . 308.923 +INF . 26 . 344.983 +INF . 27 . 384.770 +INF . 28 . 428.605 +INF . 29 . 476.841 +INF . 30 . 529.860 +INF . 31 . 588.073 +INF . 32 . 651.922 +INF . 33 . 721.881 +INF . 34 . 798.457 +INF . 35 . 882.189 +INF . 36 . 973.655 +INF . 37 . 1073.467 +INF . 38 . 1182.279 +INF . 39 . 1300.783 +INF . 40 . 1429.715 +INF . 41 . 1569.855 +INF . 42 . 1682.168 +INF . 43 . 1848.334 +INF . 44 . 2033.409 +INF . 45 . 2068.358 +INF . 46 . 1973.785 +INF . 47 . 2081.090 +INF . 48 . 2198.515 +INF . 49 . 2252.684 +INF . 50 . 1928.723 +INF . 51 . 2908.765 +INF . 52 . 3612.817 +INF . 53 . 3590.110 +INF . 54 . 1513.491 +INF . 55 . 2445.149 +INF . 56 . 2686.306 +INF . 57 . 2733.979 +INF . 58 . 2614.474 +INF . 59 . 2803.681 +INF . 60 . 2704.501 +INF . ---- VAR S Gross savings rate as fraction of gross world product LOWER LEVEL UPPER MARGINAL 1 0.220 0.220 0.220 1936.025 2 0.220 0.220 0.220 -861.918 3 0.220 0.220 0.220 -1783.439 4 0.220 0.220 0.220 -1899.053 5 0.220 0.220 0.220 -1704.736 6 0.220 0.220 0.220 -1419.981 7 0.220 0.220 0.220 -1136.670 8 0.220 0.220 0.220 -888.851 9 0.220 0.220 0.220 -684.994 10 0.220 0.220 0.220 -523.049 11 0.220 0.220 0.220 -397.280 12 0.220 0.220 0.220 -300.023 13 0.220 0.220 0.220 -225.503 14 0.220 0.220 0.220 -168.757 15 0.220 0.220 0.220 -125.775 16 0.220 0.220 0.220 -93.325 17 0.220 0.220 0.220 -68.986 18 0.220 0.220 0.220 -50.893 19 0.220 0.220 0.220 -37.776 20 0.220 0.220 0.220 -28.793 21 0.220 0.220 0.220 -22.687 22 0.220 0.220 0.220 -17.028 23 0.220 0.220 0.220 -12.719 24 0.220 0.220 0.220 -9.476 25 0.220 0.220 0.220 -7.049 26 0.220 0.220 0.220 -5.234 27 0.220 0.220 0.220 -3.877 28 0.220 0.220 0.220 -2.860 29 0.220 0.220 0.220 -2.094 30 0.220 0.220 0.220 -1.515 31 0.220 0.220 0.220 -1.073 32 0.220 0.220 0.220 -0.734 33 0.220 0.220 0.220 -0.472 34 0.220 0.220 0.220 -0.271 35 0.220 0.220 0.220 -0.123 36 0.220 0.220 0.220 -0.018 37 0.220 0.220 0.220 0.014 38 0.220 0.220 0.220 -0.062 39 0.220 0.220 0.220 -0.336 40 0.220 0.220 0.220 -0.974 41 0.220 0.220 0.220 -2.281 42 0.220 0.220 0.220 -1.826 43 0.220 0.220 0.220 -1.433 44 0.220 0.220 0.220 -1.122 45 0.220 0.220 0.220 -0.905 46 0.220 0.220 0.220 -0.820 47 0.220 0.220 0.220 -0.674 48 0.220 0.220 0.220 -0.533 49 0.220 0.220 0.220 -0.451 50 0.220 0.220 0.220 -0.446 51 0.220 0.220 0.220 -0.238 52 0.220 0.220 0.220 -0.146 53 0.220 0.220 0.220 -0.127 54 0.220 0.220 0.220 -0.334 55 0.220 0.220 0.220 -0.169 56 0.220 0.220 0.220 -0.129 57 0.220 0.220 0.220 -0.109 58 0.220 0.220 0.220 -0.099 59 0.220 0.220 0.220 -0.087 60 0.220 0.220 0.220 -0.074 ---- VAR RI Real interest rate per annum LOWER LEVEL UPPER MARGINAL 1 -INF 0.057 +INF . 2 -INF 0.057 +INF . 3 -INF 0.055 +INF . 4 -INF 0.052 +INF . 5 -INF 0.050 +INF . 6 -INF 0.048 +INF . 7 -INF 0.046 +INF . 8 -INF 0.045 +INF . 9 -INF 0.044 +INF . 10 -INF 0.043 +INF . 11 -INF 0.042 +INF . 12 -INF 0.042 +INF . 13 -INF 0.042 +INF . 14 -INF 0.041 +INF . 15 -INF 0.041 +INF . 16 -INF 0.041 +INF . 17 -INF 0.040 +INF . 18 -INF 0.040 +INF . 19 -INF 0.040 +INF . 20 -INF 0.040 +INF . 21 -INF 0.040 +INF . 22 -INF 0.040 +INF . 23 -INF 0.040 +INF . 24 -INF 0.040 +INF . 25 -INF 0.040 +INF . 26 -INF 0.040 +INF . 27 -INF 0.039 +INF . 28 -INF 0.039 +INF . 29 -INF 0.039 +INF . 30 -INF 0.039 +INF . 31 -INF 0.039 +INF . 32 -INF 0.039 +INF . 33 -INF 0.038 +INF . 34 -INF 0.038 +INF . 35 -INF 0.038 +INF . 36 -INF 0.038 +INF . 37 -INF 0.038 +INF . 38 -INF 0.038 +INF . 39 -INF 0.037 +INF . 40 -INF 0.037 +INF . 41 -INF 0.037 +INF . 42 -INF 0.043 +INF . 43 -INF 0.042 +INF . 44 -INF 0.041 +INF . 45 -INF 0.060 +INF . 46 -INF 0.106 +INF . 47 -INF 0.120 +INF . 48 -INF 0.134 +INF . 49 -INF 0.165 +INF . 50 -INF 0.337 +INF . 51 -INF 0.122 +INF . 52 -INF 0.072 +INF . 53 -INF 0.103 +INF . 54 -INF 1.462 +INF . 55 -INF 0.536 +INF . 56 -INF 0.516 +INF . 57 -INF 0.604 +INF . 58 -INF 0.825 +INF . 59 -INF 0.839 +INF . 60 -INF 1.137 +INF . ---- VAR Y Gross world product net of abatement and damages LOWER LEVEL UPPER MARGINAL 1 . 55.583 +INF . 2 . 69.487 +INF . 3 . 85.029 +INF . 4 . 102.082 +INF . 5 . 120.693 +INF . 6 . 141.017 +INF . 7 . 163.281 +INF . 8 . 187.758 +INF . 9 . 214.752 +INF . 10 . 244.596 +INF . 11 . 277.648 +INF . 12 . 314.332 +INF . 13 . 355.076 +INF . 14 . 400.341 +INF . 15 . 450.626 +INF . 16 . 506.478 +INF . 17 . 568.500 +INF . 18 . 637.362 +INF . 19 . 713.819 +INF . 20 . 798.743 +INF . 21 . 893.707 +INF . 22 . 1001.594 +INF . 23 . 1122.041 +INF . 24 . 1255.901 +INF . 25 . 1404.196 +INF . 26 . 1568.105 +INF . 27 . 1748.953 +INF . 28 . 1948.205 +INF . 29 . 2167.460 +INF . 30 . 2408.454 +INF . 31 . 2673.058 +INF . 32 . 2963.281 +INF . 33 . 3281.277 +INF . 34 . 3629.347 +INF . 35 . 4009.948 +INF . 36 . 4425.701 +INF . 37 . 4879.394 +INF . 38 . 5373.993 +INF . 39 . 5912.648 +INF . 40 . 6498.703 +INF . 41 . 7135.704 +INF . 42 . 7646.216 +INF . 43 . 8401.517 +INF . 44 . 9242.765 +INF . 45 . 9401.626 +INF . 46 . 8971.749 +INF . 47 . 9459.499 +INF . 48 . 9993.247 +INF . 49 . 10239.473 +INF . 50 . 8766.920 +INF . 51 . 13221.656 +INF . 52 . 16421.895 +INF . 53 . 16318.683 +INF . 54 . 6879.503 +INF . 55 . 11114.311 +INF . 56 . 12210.482 +INF . 57 . 12427.177 +INF . 58 . 11883.972 +INF . 59 . 12744.004 +INF 7.1335E-6 60 . 12293.184 +INF . ---- VAR YGROSS Gross world product GROSS of abatement and damages LOWER LEVEL UPPER MARGINAL 1 . 55.667 +INF . 2 . 69.685 +INF . 3 . 85.391 +INF . 4 . 102.688 +INF . 5 . 121.641 +INF . 6 . 142.428 +INF . 7 . 165.301 +INF . 8 . 190.559 +INF . 9 . 218.540 +INF . 10 . 249.611 +INF . 11 . 284.167 +INF . 12 . 322.636 +INF . 13 . 365.489 +INF . 14 . 413.229 +INF . 15 . 466.398 +INF . 16 . 525.584 +INF . 17 . 591.425 +INF . 18 . 664.613 +INF . 19 . 745.907 +INF . 20 . 836.134 +INF . 21 . 936.206 +INF . 22 . 1047.269 +INF . 23 . 1170.899 +INF . 24 . 1308.075 +INF . 25 . 1459.900 +INF . 26 . 1627.608 +INF . 27 . 1812.558 +INF . 28 . 2016.237 +INF . 29 . 2240.262 +INF . 30 . 2486.379 +INF . 31 . 2756.469 +INF . 32 . 3052.549 +INF . 33 . 3376.782 +INF . 34 . 3731.479 +INF . 35 . 4119.106 +INF . 36 . 4542.293 +INF . 37 . 5003.839 +INF . 38 . 5506.723 +INF . 39 . 6054.108 +INF . 40 . 6649.350 +INF . 41 . 7296.009 +INF . 42 . 7812.720 +INF . 43 . 8578.891 +INF . 44 . 9431.990 +INF . 45 . 9588.332 +INF . 46 . 9144.602 +INF . 47 . 9636.340 +INF . 48 . 10174.581 +INF . 49 . 10419.841 +INF . 50 . 8916.904 +INF . 51 . 13442.037 +INF . 52 . 16688.057 +INF . 53 . 16575.757 +INF . 54 . 6984.830 +INF 3.5238E-5 55 . 11279.728 +INF . 56 . 12387.166 +INF . 57 . 12602.054 +INF . 58 . 12046.834 +INF . 59 . 12917.904 +INF . 60 . 12368.320 +INF 3.9128E-6 ---- VAR YNET Output net of damages equation LOWER LEVEL UPPER MARGINAL 1 -INF 55.583 +INF . 2 -INF 69.507 +INF . 3 -INF 85.063 +INF . 4 -INF 102.139 +INF . 5 -INF 120.781 +INF . 6 -INF 141.149 +INF . 7 -INF 163.474 +INF . 8 -INF 188.034 +INF . 9 -INF 215.139 +INF . 10 -INF 245.132 +INF . 11 -INF 278.380 +INF . 12 -INF 315.323 +INF . 13 -INF 356.409 +INF . 14 -INF 402.124 +INF . 15 -INF 453.003 +INF . 16 -INF 509.637 +INF . 17 -INF 572.690 +INF . 18 -INF 642.911 +INF . 19 -INF 721.160 +INF . 20 -INF 808.431 +INF . 21 -INF 905.832 +INF . 22 -INF 1014.494 +INF . 23 -INF 1135.782 +INF . 24 -INF 1270.549 +INF . 25 -INF 1419.818 +INF . 26 -INF 1584.770 +INF . 27 -INF 1766.735 +INF . 28 -INF 1967.181 +INF . 29 -INF 2187.714 +INF . 30 -INF 2430.074 +INF . 31 -INF 2696.137 +INF . 32 -INF 2987.921 +INF . 33 -INF 3307.584 +INF . 34 -INF 3657.436 +INF . 35 -INF 4039.942 +INF . 36 -INF 4457.730 +INF . 37 -INF 4913.595 +INF . 38 -INF 5410.513 +INF . 39 -INF 5951.644 +INF . 40 -INF 6540.342 +INF . 41 -INF 7180.160 +INF . 42 -INF 7692.579 +INF . 43 -INF 8451.141 +INF . 44 -INF 9295.982 +INF . 45 -INF 9454.450 +INF . 46 -INF 9020.976 +INF . 47 -INF 9510.214 +INF . 48 -INF 10045.655 +INF . 49 -INF 10292.019 +INF . 50 -INF 8810.815 +INF . 51 -INF 13286.790 +INF . 52 -INF 16501.241 +INF . 53 -INF 16396.058 +INF . 54 -INF 6911.526 +INF . 55 -INF 11165.152 +INF . 56 -INF 12265.389 +INF . 57 -INF 12482.145 +INF . 58 -INF 11935.289 +INF . 59 -INF 12794.130 +INF . 60 -INF 12327.780 +INF . ---- VAR DAMAGES Damages LOWER LEVEL UPPER MARGINAL 1 -INF 0.084 +INF . 2 -INF 0.178 +INF . 3 -INF 0.328 +INF . 4 -INF 0.549 +INF . 5 -INF 0.860 +INF . 6 -INF 1.279 +INF . 7 -INF 1.827 +INF . 8 -INF 2.526 +INF . 9 -INF 3.401 +INF . 10 -INF 4.479 +INF . 11 -INF 5.787 +INF . 12 -INF 7.313 +INF . 13 -INF 9.080 +INF . 14 -INF 11.104 +INF . 15 -INF 13.394 +INF . 16 -INF 15.946 +INF . 17 -INF 18.735 +INF . 18 -INF 21.702 +INF . 19 -INF 24.747 +INF . 20 -INF 27.702 +INF . 21 -INF 30.373 +INF . 22 -INF 32.774 +INF . 23 -INF 35.116 +INF . 24 -INF 37.525 +INF . 25 -INF 40.082 +INF . 26 -INF 42.838 +INF . 27 -INF 45.823 +INF . 28 -INF 49.056 +INF . 29 -INF 52.548 +INF . 30 -INF 56.305 +INF . 31 -INF 60.331 +INF . 32 -INF 64.628 +INF . 33 -INF 69.198 +INF . 34 -INF 74.042 +INF . 35 -INF 79.163 +INF . 36 -INF 84.563 +INF . 37 -INF 90.244 +INF . 38 -INF 96.210 +INF . 39 -INF 102.464 +INF . 40 -INF 109.009 +INF . 41 -INF 115.849 +INF . 42 -INF 120.141 +INF . 43 -INF 127.750 +INF . 44 -INF 136.008 +INF . 45 -INF 133.882 +INF . 46 -INF 123.625 +INF . 47 -INF 126.126 +INF . 48 -INF 128.926 +INF . 49 -INF 127.822 +INF . 50 -INF 106.089 +INF . 51 -INF 155.247 +INF . 52 -INF 186.816 +INF . 53 -INF 179.699 +INF . 54 -INF 73.303 +INF . 55 -INF 114.576 +INF . 56 -INF 121.778 +INF . 57 -INF 119.909 +INF . 58 -INF 111.545 +INF . 59 -INF 123.774 +INF . 60 -INF 40.540 +INF . ---- VAR ABATECOST Cost of emissions reductions LOWER LEVEL UPPER MARGINAL 1 -INF 1.3292E-5 +INF . 2 -INF 0.020 +INF . 3 -INF 0.035 +INF . 4 -INF 0.057 +INF . 5 -INF 0.088 +INF . 6 -INF 0.133 +INF . 7 -INF 0.195 +INF . 8 -INF 0.279 +INF . 9 -INF 0.393 +INF . 10 -INF 0.545 +INF . 11 -INF 0.747 +INF . 12 -INF 1.014 +INF . 13 -INF 1.367 +INF . 14 -INF 1.833 +INF . 15 -INF 2.448 +INF . 16 -INF 3.258 +INF . 17 -INF 4.327 +INF . 18 -INF 5.737 +INF . 19 -INF 7.593 +INF . 20 -INF 10.021 +INF . 21 -INF 12.532 +INF . 22 -INF 13.317 +INF . 23 -INF 14.166 +INF . 24 -INF 15.081 +INF . 25 -INF 16.063 +INF . 26 -INF 17.116 +INF . 27 -INF 18.243 +INF . 28 -INF 19.450 +INF . 29 -INF 20.740 +INF . 30 -INF 22.120 +INF . 31 -INF 23.595 +INF . 32 -INF 25.172 +INF . 33 -INF 26.858 +INF . 34 -INF 28.658 +INF . 35 -INF 30.582 +INF . 36 -INF 32.636 +INF . 37 -INF 34.829 +INF . 38 -INF 37.170 +INF . 39 -INF 39.668 +INF . 40 -INF 42.332 +INF . 41 -INF 45.174 +INF . 42 -INF 47.087 +INF . 43 -INF 50.374 +INF . 44 -INF 53.995 +INF . 45 -INF 53.572 +INF . 46 -INF 49.902 +INF . 47 -INF 51.388 +INF . 48 -INF 53.081 +INF . 49 -INF 53.199 +INF . 50 -INF 44.424 +INF . 51 -INF 65.895 +INF . 52 -INF 80.245 +INF . 53 -INF 78.223 +INF . 54 -INF 32.363 +INF . 55 -INF 51.363 +INF . 56 -INF 55.451 +INF . 57 -INF 55.496 +INF . 58 -INF 51.797 +INF . 59 -INF 50.611 +INF . 60 -INF 34.710 +INF . ---- VAR CCA Cumulative industrial carbon emissions GTC LOWER LEVEL UPPER MARGINAL 1 . . 6000.000 . 2 . 85.320 6000.000 . 3 . 168.709 6000.000 . 4 . 259.321 6000.000 . 5 . 356.343 6000.000 . 6 . 458.921 6000.000 . 7 . 566.235 6000.000 . 8 . 677.495 6000.000 . 9 . 791.919 6000.000 . 10 . 908.696 6000.000 . 11 . 1026.937 6000.000 . 12 . 1145.641 6000.000 . 13 . 1263.620 6000.000 . 14 . 1379.435 6000.000 . 15 . 1491.338 6000.000 . 16 . 1597.196 6000.000 . 17 . 1694.427 6000.000 . 18 . 1779.896 6000.000 . 19 . 1849.797 6000.000 . 20 . 1899.639 6000.000 . 21 . 1924.236 6000.000 . 22 . 1925.573 6000.000 . 23 . 1926.777 6000.000 . 24 . 1927.860 6000.000 . 25 . 1928.835 6000.000 . 26 . 1929.712 6000.000 . 27 . 1930.502 6000.000 . 28 . 1931.213 6000.000 . 29 . 1931.853 6000.000 . 30 . 1932.428 6000.000 . 31 . 1932.946 6000.000 . 32 . 1933.413 6000.000 . 33 . 1933.832 6000.000 . 34 . 1934.210 6000.000 . 35 . 1934.550 6000.000 . 36 . 1934.856 6000.000 . 37 . 1935.131 6000.000 . 38 . 1935.379 6000.000 . 39 . 1935.602 6000.000 . 40 . 1935.803 6000.000 . 41 . 1935.983 6000.000 . 42 . 1936.146 6000.000 . 43 . 1936.292 6000.000 . 44 . 1936.424 6000.000 . 45 . 1936.672 6000.000 . 46 . 1936.815 6000.000 . 47 . 1936.912 6000.000 . 48 . 1937.140 6000.000 . 49 . 1937.218 6000.000 . 50 . 1937.454 6000.000 . 51 . 1940.310 6000.000 . 52 . 1940.466 6000.000 . 53 . 1940.517 6000.000 . 54 . 1940.563 6000.000 . 55 . 1940.701 6000.000 . 56 . 1940.738 6000.000 . 57 . 1940.825 6000.000 . 58 . 1940.855 6000.000 . 59 . 1947.635 6000.000 . 60 . 2022.954 6000.000 . ---- VAR PERIODU One period utility function LOWER LEVEL UPPER MARGINAL 1 -INF -149.250 +INF . 2 -INF -130.552 +INF . 3 -INF -113.051 +INF . 4 -INF -97.840 +INF . 5 -INF -84.889 +INF . 6 -INF -73.891 +INF . 7 -INF -64.520 +INF . 8 -INF -56.494 +INF . 9 -INF -49.584 +INF . 10 -INF -43.608 +INF . 11 -INF -38.420 +INF . 12 -INF -33.895 +INF . 13 -INF -29.939 +INF . 14 -INF -26.470 +INF . 15 -INF -23.423 +INF . 16 -INF -20.742 +INF . 17 -INF -18.377 +INF . 18 -INF -16.288 +INF . 19 -INF -14.439 +INF . 20 -INF -12.799 +INF . 21 -INF -11.334 +INF . 22 -INF -10.006 +INF . 23 -INF -8.825 +INF . 24 -INF -7.778 +INF . 25 -INF -6.851 +INF . 26 -INF -6.031 +INF . 27 -INF -5.304 +INF . 28 -INF -4.659 +INF . 29 -INF -4.087 +INF . 30 -INF -3.578 +INF . 31 -INF -3.125 +INF . 32 -INF -2.721 +INF . 33 -INF -2.360 +INF . 34 -INF -2.038 +INF . 35 -INF -1.750 +INF . 36 -INF -1.491 +INF . 37 -INF -1.260 +INF . 38 -INF -1.052 +INF . 39 -INF -0.865 +INF . 40 -INF -0.697 +INF . 41 -INF -0.545 +INF . 42 -INF -0.442 +INF . 43 -INF -0.312 +INF . 44 -INF -0.193 +INF . 45 -INF -0.173 +INF . 46 -INF -0.229 +INF . 47 -INF -0.166 +INF . 48 -INF -0.103 +INF . 49 -INF -0.077 +INF . 50 -INF -0.258 +INF . 51 -INF 0.166 +INF . 52 -INF 0.329 +INF . 53 -INF 0.324 +INF . 54 -INF -0.603 +INF . 55 -INF 0.008 +INF . 56 -INF 0.097 +INF . 57 -INF 0.113 +INF . 58 -INF 0.072 +INF . 59 -INF 0.135 +INF . 60 -INF 0.103 +INF . 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 00:00:31 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 00:00:31 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 SNOPT FROM LINE 307 **** SOLVER STATUS 1 Normal Completion **** MODEL STATUS 2 Locally Optimal **** OBJECTIVE VALUE 150163.1753 RESOURCE USAGE, LIMIT 0.024 99999.000 ITERATION COUNT, LIMIT 123 99900 EVALUATION ERRORS 0 0 SNOPT 7.2-4 Jul 14, 2011 23.7.1 LEX 26789.26792 LEG x86_64/Linux GAMS/SNOPT, Large Scale Nonlinear SQP Solver S N O P T 7.2-4 (June 2006) P. E. Gill, UC San Diego W. Murray and M. A. Saunders, Stanford University Work space allocated -- 3.25 Mb EXIT - Optimal Solution found, objective: 150163.2 ---- EQU CCTFIRST First period cumulative carbon LOWER LEVEL UPPER MARGINAL 1 . . . EPS ---- EQU CCACCA Cumulative carbon emissions LOWER LEVEL UPPER MARGINAL 2 . . . . 3 . . . EPS 4 . . . EPS 5 . . . EPS 6 . . . EPS 7 . . . EPS 8 . . . EPS 9 . . . EPS 10 . . . EPS 11 . . . . 12 . . . EPS 13 . . . EPS 14 . . . . 15 . . . EPS 16 . . . . 17 . . . EPS 18 . . . . 19 . . . EPS 20 . . . EPS 21 . . . EPS 22 . . . EPS 23 . . . . 24 . . . EPS 25 . . . . 26 . . . EPS 27 . . . EPS 28 . . . . 29 . . . EPS 30 . . . . 31 . . . EPS 32 . . . . 33 . . . EPS 34 . . . EPS 35 . . . EPS 36 . . . EPS 37 . . . . 38 . . . EPS 39 . . . EPS 40 . . . . 41 . . . EPS 42 . . . EPS 43 . . . EPS 44 . . . EPS 45 . . . EPS 46 . . . . 47 . . . EPS 48 . . . EPS 49 . . . EPS 50 . . . EPS 51 . . . EPS 52 . . . EPS 53 . . . EPS 54 . . . . 55 . . . EPS 56 . . . EPS 57 . . . . 58 . . . EPS 59 . . . . 60 . . . EPS 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 . . . 0.185 24 . . . 0.127 25 . . . 0.087 26 . . . 0.058 27 . . . 0.042 28 . . . 0.029 29 . . . 0.020 30 . . . 0.014 31 . . . 0.010 32 . . . 0.007 33 . . . 0.005 34 . . . 0.004 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 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 . . . 0.122 25 . . . 0.084 26 . . . 0.056 27 . . . 0.041 28 . . . 0.028 29 . . . 0.020 30 . . . 0.014 31 . . . 0.010 32 . . . 0.007 33 . . . 0.005 34 . . . 0.004 35 . . . 0.004 36 . 1.3480E-8 . . 37 . . . . 38 . . . . 39 . . . . 40 . . . EPS 41 . . . . 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 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 . . . 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 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 . . . 0.058 27 . . . 0.043 28 . . . 0.030 29 . . . 0.021 30 . . . 0.014 31 . . . 0.010 32 . . . 0.007 33 . . . 0.005 34 . . . 0.004 35 . . . -2.803E-9 36 . . . -9.76E-10 37 . . . -3.36E-10 38 . . . -1.04E-10 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 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 . . 0.001 32 -INF . . 7.2695E-4 33 -INF . . 5.2527E-4 34 -INF . . 3.8000E-4 35 -INF . . -2.80E-10 36 -INF . . -9.76E-11 37 -INF . . -3.36E-11 38 -INF . . -1.04E-11 39 -INF . . . 40 -INF . . EPS 41 -INF -1727.116 . . 42 -INF -686.878 . . 43 -INF -453.299 . . 44 -INF -6917.932 . . 45 -INF -1.283E+4 . . 46 -INF -9916.803 . . 47 -INF -1.112E+4 . . 48 -INF -1.387E+4 . . 49 -INF -2.065E+4 . . 50 -INF -410.545 . . 51 -INF -536.125 . . 52 -INF -1.959E+4 . . 53 -INF -4.468E+4 . . 54 -INF -1.006E+4 . . 55 -INF -2.008E+4 . . 56 -INF -2.349E+4 . . 57 -INF -2.528E+4 . . 58 -INF -2.331E+4 . . 59 -INF -2.644E+4 . . 60 -INF -2.811E+4 . . ---- 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 -2643.161 . . ---- 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 -3.162 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 -0.030 22 1.204 1.204 1.204 -0.021 23 1.083 1.083 1.083 -0.014 24 0.975 0.975 0.975 -0.010 25 0.877 0.877 0.877 -0.006 26 0.790 0.790 0.790 -0.004 27 0.711 0.711 0.711 -0.003 28 0.640 0.640 0.640 -0.002 29 0.576 0.576 0.576 -0.001 30 0.518 0.518 0.518 -0.001 31 0.466 0.466 0.466 -7.050E-4 32 0.420 0.420 0.420 -5.046E-4 33 0.378 0.378 0.378 -3.618E-4 34 0.340 0.340 0.340 -2.597E-4 35 0.306 0.306 0.306 EPS 36 0.275 0.275 0.275 EPS 37 0.248 0.248 0.248 EPS 38 0.223 0.223 0.223 EPS 39 0.201 0.201 0.201 EPS 40 0.181 0.181 0.181 EPS 41 0.163 0.163 0.163 EPS 42 0.146 0.146 0.146 EPS 43 0.132 0.132 0.132 EPS 44 0.119 0.119 0.119 EPS 45 0.107 0.107 0.107 EPS 46 0.096 0.096 0.096 EPS 47 0.086 0.086 0.086 EPS 48 0.078 0.078 0.078 EPS 49 0.070 0.070 0.070 EPS 50 0.063 0.063 0.063 EPS 51 0.057 0.057 0.057 EPS 52 0.051 0.051 0.051 EPS 53 0.046 0.046 0.046 EPS 54 0.041 0.041 0.041 EPS 55 0.037 0.037 0.037 EPS 56 0.033 0.033 0.033 EPS 57 0.030 0.030 0.030 EPS 58 0.027 0.027 0.027 EPS 59 0.024 0.024 0.024 EPS 60 0.022 0.022 0.022 EPS ---- EQU SEQ Savings rate equation LOWER LEVEL UPPER MARGINAL 1 . . . -1936.030 2 . . . 861.919 3 . . . 1783.438 4 . . . 1899.056 5 . . . 1704.736 6 . . . 1419.984 7 . . . 1136.676 8 . . . 888.849 9 . . . 684.995 10 . . . 523.049 11 . . . 397.283 12 . . . 300.024 13 . . . 225.505 14 . . . 168.771 15 . . . 125.778 16 . . . 93.333 17 . . . 68.981 18 . . . 50.905 19 . . . 37.820 20 . . . 28.955 21 . . . 22.997 22 . . . 17.607 23 . . . 13.808 24 . . . 11.535 25 . . . 10.967 26 . . . . 27 . . . 3.891 28 . . . 2.805 29 . . . 1.894 30 . . . 1.020 31 . . . . 32 . . . . 33 . . . . 34 . . . . 35 . . . . 36 . . . . 37 . . . . 38 . . . . 39 . . . . 40 . . . . 41 . . . . 42 . . . . 43 . . . . 44 . . . . 45 . . . . 46 . . . . 47 . . . . 48 . . . . 49 . . . . 50 . . . . 51 . . . . 52 . . . . 53 . . . . 54 . . . . 55 . . . . 56 . . . . 57 . . . . 58 . . . . 59 . . . . 60 . . . . ---- 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 -162.037 3 0.012 0.012 0.012 -147.991 4 0.048 0.048 0.048 -130.474 5 0.084 0.084 0.084 -112.269 6 0.120 0.120 0.120 -94.905 7 0.156 0.156 0.156 -79.146 8 0.192 0.192 0.192 -65.297 9 0.228 0.228 0.228 -53.397 10 0.264 0.264 0.264 -43.334 11 0.300 0.300 0.300 -34.922 12 0.300 0.300 0.300 -27.945 13 0.300 0.300 0.300 -22.232 14 0.300 0.300 0.300 -17.597 15 0.300 0.300 0.300 -13.861 16 0.300 0.300 0.300 -10.865 17 0.300 0.300 0.300 -8.471 18 0.300 0.300 0.300 -6.565 19 0.300 0.300 0.300 -5.053 20 0.300 0.300 0.300 -3.860 21 0.300 0.300 0.300 -2.926 22 0.300 0.300 0.300 -2.206 23 0.300 0.300 0.300 -1.661 24 0.300 0.300 0.300 -1.249 25 0.300 0.300 0.300 -0.938 26 0.300 0.300 0.300 -0.705 27 0.300 0.300 0.300 -0.546 28 0.300 0.300 0.300 -0.414 29 0.300 0.300 0.300 -0.314 30 0.300 0.300 0.300 -0.238 31 0.300 0.300 0.300 -0.178 32 0.300 0.300 0.300 -0.130 33 0.300 0.300 0.300 -0.087 34 0.300 0.300 0.300 -0.045 35 0.300 0.300 0.300 . 36 0.300 0.300 0.300 . 37 0.300 0.300 0.300 . 38 0.300 0.300 0.300 . 39 0.300 0.300 0.300 . 40 0.300 0.300 0.300 . 41 0.300 0.300 0.300 . 42 0.300 0.300 0.300 . 43 0.300 0.300 0.300 . 44 0.300 0.300 0.300 . 45 0.300 0.300 0.300 . 46 0.300 0.300 0.300 . 47 0.300 0.300 0.300 . 48 0.300 0.300 0.300 . 49 0.300 0.300 0.300 . 50 0.300 0.300 0.300 . 51 0.300 0.300 0.300 . 52 0.300 0.300 0.300 . 53 0.300 0.300 0.300 . 54 0.300 0.300 0.300 . 55 0.300 0.300 0.300 . 56 0.300 0.300 0.300 . 57 0.300 0.300 0.300 . 58 0.300 0.300 0.300 . 59 0.300 0.300 0.300 . 60 0.300 0.300 0.300 . ---- EQU MMAT0 Starting atmospheric concentration LOWER LEVEL UPPER MARGINAL 1 808.900 808.900 808.900 -2.791 ---- EQU MMAT Atmospheric concentration equation LOWER LEVEL UPPER MARGINAL 2 . . . -3.215 3 . . . -3.162 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 . . . -0.030 23 . . . -0.021 24 . . . -0.014 25 . . . -0.010 26 . . . -0.006 27 . . . -0.004 28 . . . -0.003 29 . . . -0.002 30 . . . -0.001 31 . . . -0.001 32 . . . -7.050E-4 33 . . . -5.046E-4 34 . . . -3.618E-4 35 . . . -2.597E-4 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 MMATAVEQ Average concentrations equation LOWER LEVEL UPPER MARGINAL 1 . . . EPS 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 . . . -8.989E-4 32 . . . -6.651E-4 33 . . . -4.511E-4 34 . . . -2.375E-4 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 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 . . . -0.979 3 . . . -0.787 4 . . . -0.627 5 . . . -0.495 6 . . . -0.389 7 . . . -0.304 8 . . . -0.237 9 . . . -0.185 10 . . . -0.143 11 . . . -0.111 12 . . . -0.086 13 . . . -0.067 14 . . . -0.052 15 . . . -0.040 16 . . . -0.031 17 . . . -0.024 18 . . . -0.018 19 . . . -0.014 20 . . . -0.010 21 . . . -0.007 22 . . . -0.005 23 . . . -0.003 24 . . . -0.002 25 . . . -0.002 26 . . . -0.001 27 . . . -7.166E-4 28 . . . -4.912E-4 29 . . . -3.356E-4 30 . . . -2.275E-4 31 . . . -1.516E-4 32 . . . -9.741E-5 33 . . . -5.670E-5 34 . . . -2.525E-5 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 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 . . . -0.002 9 . . . -0.002 10 . . . -0.001 11 . . . -0.001 12 . . . -8.528E-4 13 . . . -6.467E-4 14 . . . -4.872E-4 15 . . . -3.640E-4 16 . . . -2.690E-4 17 . . . -1.960E-4 18 . . . -1.405E-4 19 . . . -9.866E-5 20 . . . -6.790E-5 21 . . . -4.609E-5 22 . . . -3.128E-5 23 . . . -2.121E-5 24 . . . -1.436E-5 25 . . . -9.702E-6 26 . . . -6.521E-6 27 . . . -4.300E-6 28 . . . -2.777E-6 29 . . . -1.736E-6 30 . . . -1.029E-6 31 . . . -5.583E-7 32 . . . -2.553E-7 33 . . . -7.874E-8 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 TATMEQ Temperature-climate equation for atmosphere LOWER LEVEL UPPER MARGINAL 2 . . . -736.533 3 . . . -672.687 4 . . . -593.065 5 . . . -510.313 6 . . . -431.385 7 . . . -359.753 8 . . . -296.804 9 . . . -242.712 10 . . . -196.972 11 . . . -158.738 12 . . . -127.021 13 . . . -101.054 14 . . . -79.987 15 . . . -63.006 16 . . . -49.386 17 . . . -38.504 18 . . . -29.841 19 . . . -22.968 20 . . . -17.543 21 . . . -13.299 22 . . . -10.029 23 . . . -7.548 24 . . . -5.676 25 . . . -4.265 26 . . . -3.204 27 . . . -2.483 28 . . . -1.884 29 . . . -1.428 30 . . . -1.080 31 . . . -0.808 32 . . . -0.590 33 . . . -0.395 34 . . . -0.205 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 TATM0EQ Initial condition for atmospheric temperature LOWER LEVEL UPPER MARGINAL 1 0.731 0.731 0.731 -763.336 ---- EQU TOCEANEQ Temperature-climate equation for lower oceans LOWER LEVEL UPPER MARGINAL 2 . . . -219.410 3 . . . -184.224 4 . . . -152.717 5 . . . -125.302 6 . . . -101.927 7 . . . -82.298 8 . . . -66.009 9 . . . -52.621 10 . . . -41.707 11 . . . -32.874 12 . . . -25.779 13 . . . -20.115 14 . . . -15.617 15 . . . -12.062 16 . . . -9.266 17 . . . -7.078 18 . . . -5.378 19 . . . -4.065 20 . . . -3.060 21 . . . -2.297 22 . . . -1.721 23 . . . -1.288 24 . . . -0.961 25 . . . -0.715 26 . . . -0.530 27 . . . -0.386 28 . . . -0.275 29 . . . -0.190 30 . . . -0.125 31 . . . -0.076 32 . . . -0.039 33 . . . -0.014 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 TOCEAN0EQ Initial condition for lower ocean temperature LOWER LEVEL UPPER MARGINAL 1 0.007 0.007 0.007 -257.051 ---- 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 0.005 231.404 2 . 0.158 1.000 . 3 . 0.184 1.000 . 4 . 0.211 1.000 . 5 . 0.241 1.000 . 6 . 0.271 1.000 . 7 . 0.303 1.000 . 8 . 0.337 1.000 . 9 . 0.373 1.000 . 10 . 0.410 1.000 . 11 . 0.450 1.000 . 12 . 0.491 1.000 . 13 . 0.536 1.000 . 14 . 0.583 1.000 . 15 . 0.633 1.000 . 16 . 0.687 1.000 . 17 . 0.744 1.000 . 18 . 0.806 1.000 . 19 . 0.873 1.000 . 20 . 0.943 1.000 . 21 . 1.000 1.000 . 22 . 1.000 1.000 . 23 . 1.000 1.000 . 24 . 1.000 1.000 . 25 . 1.000 1.000 . 26 . 1.000 1.000 . 27 . 1.000 1.000 . 28 . 1.000 1.000 . 29 . 1.000 1.000 . 30 . 1.000 1.000 . 31 . 1.000 1.000 . 32 . 1.000 1.000 . 33 . 1.000 1.000 . 34 . 1.000 1.000 . 35 . 1.000 1.000 . 36 . 1.000 1.000 . 37 . 1.000 1.000 . 38 . 1.000 1.000 . 39 . 1.000 1.000 . 40 . 1.000 1.000 . 41 . 1.000 1.000 . 42 . 1.000 1.000 . 43 . 1.000 1.000 . 44 . 1.000 1.000 . 45 . 1.000 1.000 . 46 . 1.000 1.000 . 47 . 1.000 1.000 . 48 . 1.000 1.000 . 49 . 1.000 1.000 . 50 . 0.999 1.000 . 51 . 1.000 1.000 . 52 . 1.000 1.000 . 53 . 1.000 1.000 . 54 . 1.000 1.000 . 55 . 1.000 1.000 . 56 . 1.000 1.000 . 57 . 1.000 1.000 . 58 . 0.997 1.000 . 59 . 0.970 1.000 . 60 . 0.866 1.000 . ---- VAR FORC Radiative forcing in watts per m2 LOWER LEVEL UPPER MARGINAL 1 -INF 1.791 +INF . 2 -INF 2.142 +INF . 3 -INF 2.453 +INF . 4 -INF 2.758 +INF . 5 -INF 3.056 +INF . 6 -INF 3.342 +INF . 7 -INF 3.615 +INF . 8 -INF 3.873 +INF . 9 -INF 4.118 +INF . 10 -INF 4.347 +INF . 11 -INF 4.560 +INF . 12 -INF 4.720 +INF . 13 -INF 4.861 +INF . 14 -INF 4.980 +INF . 15 -INF 5.075 +INF . 16 -INF 5.142 +INF . 17 -INF 5.174 +INF . 18 -INF 5.164 +INF . 19 -INF 5.102 +INF . 20 -INF 4.976 +INF . 21 -INF 4.784 +INF . 22 -INF 4.580 +INF . 23 -INF 4.410 +INF . 24 -INF 4.265 +INF . 25 -INF 4.139 +INF . 26 -INF 4.026 +INF . 27 -INF 3.924 +INF . 28 -INF 3.830 +INF . 29 -INF 3.742 +INF . 30 -INF 3.658 +INF . 31 -INF 3.578 +INF . 32 -INF 3.501 +INF . 33 -INF 3.426 +INF . 34 -INF 3.354 +INF . 35 -INF 3.284 +INF . 36 -INF 3.215 +INF . 37 -INF 3.149 +INF . 38 -INF 3.084 +INF . 39 -INF 3.020 +INF . 40 -INF 2.958 +INF . 41 -INF 2.898 +INF . 42 -INF 2.839 +INF . 43 -INF 2.781 +INF . 44 -INF 2.726 +INF . 45 -INF 2.671 +INF . 46 -INF 2.617 +INF . 47 -INF 2.566 +INF . 48 -INF 2.515 +INF . 49 -INF 2.465 +INF . 50 -INF 2.426 +INF . 51 -INF 2.386 +INF . 52 -INF 2.337 +INF . 53 -INF 2.290 +INF . 54 -INF 2.245 +INF . 55 -INF 2.202 +INF . 56 -INF 2.159 +INF . 57 -INF 2.119 +INF . 58 -INF 2.101 +INF . 59 -INF 2.325 +INF . 60 -INF -1.262 +INF . ---- VAR TATM Temperature of atmosphere in degrees C LOWER LEVEL UPPER MARGINAL 1 . 0.731 20.000 . 2 . 0.951 20.000 . 3 . 1.165 20.000 . 4 . 1.376 20.000 . 5 . 1.584 20.000 . 6 . 1.786 20.000 . 7 . 1.984 20.000 . 8 . 2.175 20.000 . 9 . 2.360 20.000 . 10 . 2.537 20.000 . 11 . 2.706 20.000 . 12 . 2.858 20.000 . 13 . 2.996 20.000 . 14 . 3.119 20.000 . 15 . 3.227 20.000 . 16 . 3.320 20.000 . 17 . 3.395 20.000 . 18 . 3.448 20.000 . 19 . 3.477 20.000 . 20 . 3.474 20.000 . 21 . 3.437 20.000 . 22 . 3.373 20.000 . 23 . 3.300 20.000 . 24 . 3.226 20.000 . 25 . 3.153 20.000 . 26 . 3.086 20.000 . 27 . 3.023 20.000 . 28 . 2.964 20.000 . 29 . 2.909 20.000 . 30 . 2.857 20.000 . 31 . 2.808 20.000 . 32 . 2.760 20.000 . 33 . 2.715 20.000 . 34 . 2.670 20.000 . 35 . 2.627 20.000 . 36 . 2.585 20.000 . 37 . 2.544 20.000 . 38 . 2.503 20.000 . 39 . 2.463 20.000 . 40 . 2.423 20.000 . 41 . 2.384 20.000 . 42 . 2.346 20.000 . 43 . 2.308 20.000 . 44 . 2.270 20.000 . 45 . 2.233 20.000 . 46 . 2.197 20.000 . 47 . 2.161 20.000 . 48 . 2.126 20.000 . 49 . 2.092 20.000 . 50 . 2.059 20.000 . 51 . 2.029 20.000 . 52 . 1.997 20.000 . 53 . 1.965 20.000 . 54 . 1.933 20.000 . 55 . 1.901 20.000 . 56 . 1.870 20.000 . 57 . 1.840 20.000 . 58 . 1.814 20.000 . 59 . 1.846 20.000 . 60 . 1.076 20.000 . ---- VAR TOCEAN Temperatureof lower oceans degrees C LOWER LEVEL UPPER MARGINAL 1 -1.000 0.007 20.000 . 2 -1.000 0.043 20.000 . 3 -1.000 0.088 20.000 . 4 -1.000 0.142 20.000 . 5 -1.000 0.204 20.000 . 6 -1.000 0.273 20.000 . 7 -1.000 0.349 20.000 . 8 -1.000 0.430 20.000 . 9 -1.000 0.518 20.000 . 10 -1.000 0.610 20.000 . 11 -1.000 0.706 20.000 . 12 -1.000 0.806 20.000 . 13 -1.000 0.909 20.000 . 14 -1.000 1.013 20.000 . 15 -1.000 1.118 20.000 . 16 -1.000 1.224 20.000 . 17 -1.000 1.329 20.000 . 18 -1.000 1.432 20.000 . 19 -1.000 1.533 20.000 . 20 -1.000 1.630 20.000 . 21 -1.000 1.722 20.000 . 22 -1.000 1.808 20.000 . 23 -1.000 1.886 20.000 . 24 -1.000 1.957 20.000 . 25 -1.000 2.020 20.000 . 26 -1.000 2.077 20.000 . 27 -1.000 2.127 20.000 . 28 -1.000 2.172 20.000 . 29 -1.000 2.212 20.000 . 30 -1.000 2.247 20.000 . 31 -1.000 2.277 20.000 . 32 -1.000 2.304 20.000 . 33 -1.000 2.326 20.000 . 34 -1.000 2.346 20.000 . 35 -1.000 2.362 20.000 . 36 -1.000 2.375 20.000 . 37 -1.000 2.386 20.000 . 38 -1.000 2.394 20.000 . 39 -1.000 2.399 20.000 . 40 -1.000 2.402 20.000 . 41 -1.000 2.403 20.000 . 42 -1.000 2.402 20.000 . 43 -1.000 2.400 20.000 . 44 -1.000 2.395 20.000 . 45 -1.000 2.389 20.000 . 46 -1.000 2.381 20.000 . 47 -1.000 2.372 20.000 . 48 -1.000 2.361 20.000 . 49 -1.000 2.350 20.000 . 50 -1.000 2.337 20.000 . 51 -1.000 2.323 20.000 . 52 -1.000 2.308 20.000 . 53 -1.000 2.293 20.000 . 54 -1.000 2.276 20.000 . 55 -1.000 2.259 20.000 . 56 -1.000 2.241 20.000 . 57 -1.000 2.223 20.000 . 58 -1.000 2.203 20.000 . 59 -1.000 2.184 20.000 . 60 -1.000 2.167 20.000 . ---- VAR MAT Carbon concentration in atmosphere GtC LOWER LEVEL UPPER MARGINAL 1 10.000 808.900 +INF . 2 10.000 863.108 +INF . 3 10.000 907.615 +INF -1.165E-5 4 10.000 954.046 +INF 5.3062E-5 5 10.000 1001.583 +INF 2.3191E-5 6 10.000 1049.507 +INF 4.2956E-5 7 10.000 1097.239 +INF 6.6276E-5 8 10.000 1144.300 +INF 8.5989E-5 9 10.000 1190.270 +INF 9.4095E-5 10 10.000 1234.726 +INF 8.0803E-5 11 10.000 1277.210 +INF 1.0885E-4 12 10.000 1317.183 +INF 1.1957E-4 13 10.000 1353.975 +INF 1.2897E-4 14 10.000 1386.742 +INF 1.5453E-4 15 10.000 1414.431 +INF 1.7334E-4 16 10.000 1435.743 +INF 2.1136E-4 17 10.000 1449.098 +INF 2.4709E-4 18 10.000 1452.579 +INF 2.8044E-4 19 10.000 1443.855 +INF 3.4431E-4 20 10.000 1420.231 +INF 4.1668E-4 21 10.000 1378.677 +INF 0.001 22 10.000 1323.732 +INF 0.003 23 10.000 1280.012 +INF 6.2102E-4 24 10.000 1244.266 +INF -3.786E-4 25 10.000 1214.234 +INF -8.411E-4 26 10.000 1188.341 +INF -9.047E-4 27 10.000 1165.487 +INF -0.001 28 10.000 1144.904 +INF -0.001 29 10.000 1126.054 +INF -8.870E-4 30 10.000 1108.558 +INF -7.543E-4 31 10.000 1092.148 +INF -6.213E-4 32 10.000 1076.635 +INF -4.968E-4 33 10.000 1061.880 +INF -3.516E-4 34 10.000 1047.786 +INF -1.931E-4 35 10.000 1034.278 +INF 1.4101E-4 36 10.000 1021.302 +INF EPS 37 10.000 1008.815 +INF EPS 38 10.000 996.784 +INF EPS 39 10.000 985.182 +INF EPS 40 10.000 973.987 +INF EPS 41 10.000 963.181 +INF EPS 42 10.000 952.745 +INF EPS 43 10.000 942.665 +INF EPS 44 10.000 932.928 +INF EPS 45 10.000 923.650 +INF EPS 46 10.000 914.573 +INF EPS 47 10.000 905.768 +INF EPS 48 10.000 897.406 +INF EPS 49 10.000 889.167 +INF EPS 50 10.000 881.381 +INF EPS 51 10.000 876.466 +INF EPS 52 10.000 868.600 +INF EPS 53 10.000 861.028 +INF EPS 54 10.000 853.815 +INF EPS 55 10.000 847.014 +INF EPS 56 10.000 840.381 +INF EPS 57 10.000 834.063 +INF EPS 58 10.000 827.925 +INF EPS 59 10.000 828.769 +INF EPS 60 10.000 897.091 +INF EPS ---- VAR MATAV Average concentrations LOWER LEVEL UPPER MARGINAL 1 . 836.004 +INF . 2 . 885.361 +INF . 3 . 930.830 +INF . 4 . 977.814 +INF . 5 . 1025.545 +INF . 6 . 1073.373 +INF . 7 . 1120.769 +INF . 8 . 1167.285 +INF . 9 . 1212.498 +INF . 10 . 1255.968 +INF . 11 . 1297.196 +INF . 12 . 1335.579 +INF . 13 . 1370.359 +INF . 14 . 1400.587 +INF . 15 . 1425.087 +INF . 16 . 1442.420 +INF . 17 . 1450.838 +INF . 18 . 1448.217 +INF . 19 . 1432.043 +INF . 20 . 1399.454 +INF . 21 . 1351.205 +INF . 22 . 1301.872 +INF . 23 . 1262.139 +INF . 24 . 1229.250 +INF . 25 . 1201.288 +INF . 26 . 1176.914 +INF . 27 . 1155.195 +INF . 28 . 1135.479 +INF . 29 . 1117.306 +INF . 30 . 1100.353 +INF . 31 . 1084.391 +INF . 32 . 1069.257 +INF . 33 . 1054.833 +INF . 34 . 1041.032 +INF . 35 . 1027.790 +INF . 36 . 1015.058 +INF . 37 . 1002.799 +INF . 38 . 990.983 +INF . 39 . 979.585 +INF . 40 . 968.584 +INF . 41 . 957.963 +INF . 42 . 947.705 +INF . 43 . 937.797 +INF . 44 . 928.289 +INF . 45 . 919.112 +INF . 46 . 910.170 +INF . 47 . 901.587 +INF . 48 . 893.286 +INF . 49 . 885.274 +INF . 50 . 878.923 +INF . 51 . 872.533 +INF . 52 . 864.814 +INF . 53 . 857.422 +INF . 54 . 850.415 +INF . 55 . 843.697 +INF . 56 . 837.222 +INF . 57 . 830.994 +INF . 58 . 828.347 +INF . 59 . 862.930 +INF . 60 . 448.545 +INF . ---- VAR MU Carbon concentration in shallow oceans Gtc LOWER LEVEL UPPER MARGINAL 1 100.000 1255.000 +INF . 2 100.000 1280.635 +INF . 3 100.000 1312.775 +INF . 4 100.000 1348.628 +INF . 5 100.000 1388.018 +INF . 6 100.000 1430.640 +INF . 7 100.000 1476.095 +INF . 8 100.000 1523.939 +INF . 9 100.000 1573.698 +INF . 10 100.000 1624.892 +INF . 11 100.000 1677.030 +INF . 12 100.000 1729.608 +INF . 13 100.000 1782.094 +INF . 14 100.000 1833.907 +INF . 15 100.000 1884.393 +INF . 16 100.000 1932.792 +INF . 17 100.000 1978.214 +INF . 18 100.000 2019.596 +INF . 19 100.000 2055.672 +INF . 20 100.000 2084.919 +INF . 21 100.000 2105.526 +INF . 22 100.000 2115.376 +INF . 23 100.000 2113.521 +INF . 24 100.000 2103.808 +INF . 25 100.000 2088.905 +INF . 26 100.000 2070.654 +INF . 27 100.000 2050.328 +INF . 28 100.000 2028.806 +INF . 29 100.000 2006.690 +INF . 30 100.000 1984.391 +INF . 31 100.000 1962.189 +INF . 32 100.000 1940.272 +INF . 33 100.000 1918.762 +INF . 34 100.000 1897.741 +INF . 35 100.000 1877.257 +INF . 36 100.000 1857.339 +INF . 37 100.000 1838.000 +INF . 38 100.000 1819.244 +INF . 39 100.000 1801.070 +INF . 40 100.000 1783.468 +INF . 41 100.000 1766.429 +INF . 42 100.000 1749.940 +INF . 43 100.000 1733.987 +INF . 44 100.000 1718.557 +INF . 45 100.000 1703.634 +INF . 46 100.000 1689.228 +INF . 47 100.000 1675.298 +INF . 48 100.000 1661.823 +INF . 49 100.000 1648.818 +INF . 50 100.000 1636.234 +INF . 51 100.000 1624.094 +INF . 52 100.000 1612.872 +INF . 53 100.000 1601.874 +INF . 54 100.000 1591.119 +INF . 55 100.000 1580.638 +INF . 56 100.000 1570.468 +INF . 57 100.000 1560.591 +INF . 58 100.000 1551.024 +INF . 59 100.000 1541.752 +INF . 60 100.000 1534.052 +INF . ---- VAR ML Carbon concentration in lower oceans GtC LOWER LEVEL UPPER MARGINAL 1 1000.000 18365.000 +INF . 2 1000.000 18370.477 +INF . 3 1000.000 18377.219 +INF . 4 1000.000 18385.547 +INF . 5 1000.000 18395.642 +INF . 6 1000.000 18407.675 +INF . 7 1000.000 18421.801 +INF . 8 1000.000 18438.156 +INF . 9 1000.000 18456.852 +INF . 10 1000.000 18477.978 +INF . 11 1000.000 18501.597 +INF . 12 1000.000 18527.750 +INF . 13 1000.000 18556.450 +INF . 14 1000.000 18587.685 +INF . 15 1000.000 18621.414 +INF . 16 1000.000 18657.561 +INF . 17 1000.000 18696.016 +INF . 18 1000.000 18736.621 +INF . 19 1000.000 18779.170 +INF . 20 1000.000 18823.389 +INF . 21 1000.000 18868.933 +INF . 22 1000.000 18915.365 +INF . 23 1000.000 18962.145 +INF . 24 1000.000 19008.686 +INF . 25 1000.000 19054.596 +INF . 26 1000.000 19099.618 +INF . 27 1000.000 19143.587 +INF . 28 1000.000 19186.403 +INF . 29 1000.000 19228.009 +INF . 30 1000.000 19268.379 +INF . 31 1000.000 19307.509 +INF . 32 1000.000 19345.406 +INF . 33 1000.000 19382.090 +INF . 34 1000.000 19417.583 +INF . 35 1000.000 19451.915 +INF . 36 1000.000 19485.116 +INF . 37 1000.000 19517.217 +INF . 38 1000.000 19548.251 +INF . 39 1000.000 19578.250 +INF . 40 1000.000 19607.248 +INF . 41 1000.000 19635.274 +INF . 42 1000.000 19662.362 +INF . 43 1000.000 19688.540 +INF . 44 1000.000 19713.839 +INF . 45 1000.000 19738.288 +INF . 46 1000.000 19761.914 +INF . 47 1000.000 19784.747 +INF . 48 1000.000 19806.811 +INF . 49 1000.000 19828.133 +INF . 50 1000.000 19848.739 +INF . 51 1000.000 19868.651 +INF . 52 1000.000 19887.893 +INF . 53 1000.000 19906.515 +INF . 54 1000.000 19924.529 +INF . 55 1000.000 19941.948 +INF . 56 1000.000 19958.790 +INF . 57 1000.000 19975.070 +INF . 58 1000.000 19990.806 +INF . 59 1000.000 20006.014 +INF . 60 1000.000 20020.712 +INF . ---- VAR E CO2-equivalent emissions GtC LOWER LEVEL UPPER MARGINAL 1 . 85.320 +INF . 2 . 83.388 +INF . 3 . 90.613 +INF . 4 . 97.022 +INF . 5 . 102.578 +INF . 6 . 107.313 +INF . 7 . 111.260 +INF . 8 . 114.425 +INF . 9 . 116.776 +INF . 10 . 118.241 +INF . 11 . 118.704 +INF . 12 . 117.979 +INF . 13 . 115.815 +INF . 14 . 111.903 +INF . 15 . 105.858 +INF . 16 . 97.231 +INF . 17 . 85.469 +INF . 18 . 69.901 +INF . 19 . 49.841 +INF . 20 . 24.597 +INF . 21 . 1.337 +INF . 22 . 1.204 +INF . 23 . 1.083 +INF . 24 . 0.975 +INF . 25 . 0.877 +INF . 26 . 0.790 +INF . 27 . 0.711 +INF . 28 . 0.640 +INF . 29 . 0.576 +INF . 30 . 0.518 +INF . 31 . 0.466 +INF . 32 . 0.420 +INF . 33 . 0.378 +INF . 34 . 0.340 +INF . 35 . 0.306 +INF . 36 . 0.275 +INF . 37 . 0.248 +INF . 38 . 0.223 +INF . 39 . 0.201 +INF . 40 . 0.181 +INF . 41 . 0.163 +INF . 42 . 0.146 +INF . 43 . 0.132 +INF . 44 . 0.248 +INF . 45 . 0.143 +INF . 46 . 0.097 +INF . 47 . 0.228 +INF . 48 . 0.078 +INF . 49 . 0.236 +INF . 50 . 2.856 +INF . 51 . 0.156 +INF . 52 . 0.051 +INF . 53 . 0.046 +INF . 54 . 0.138 +INF . 55 . 0.037 +INF . 56 . 0.087 +INF . 57 . 0.030 +INF . 58 . 6.780 +INF . 59 . 75.319 +INF . 60 . 318.086 +INF EPS ---- VAR C Consumption trillions US dollars LOWER LEVEL UPPER MARGINAL 1 20.000 43.354 +INF . 2 20.000 54.199 +INF . 3 20.000 66.322 +INF . 4 20.000 79.624 +INF . 5 20.000 94.141 +INF . 6 20.000 109.993 +INF . 7 20.000 127.359 +INF . 8 20.000 146.451 +INF . 9 20.000 167.506 +INF . 10 20.000 190.785 +INF . 11 20.000 216.565 +INF . 12 20.000 245.179 +INF . 13 20.000 276.959 +INF . 14 20.000 312.265 +INF . 15 20.000 351.488 +INF . 16 20.000 395.053 +INF . 17 20.000 443.430 +INF . 18 20.000 497.142 +INF . 19 20.000 556.779 +INF . 20 20.000 623.019 +INF . 21 20.000 697.091 +INF . 22 20.000 781.243 +INF . 23 20.000 875.192 +INF . 24 20.000 979.603 +INF . 25 20.000 1095.273 +INF . 26 20.000 1223.122 +INF 0.003 27 20.000 1364.183 +INF . 28 20.000 1519.599 +INF . 29 20.000 1690.619 +INF . 30 20.000 1878.594 +INF . 31 20.000 2084.985 +INF . 32 20.000 2311.359 +INF -2.066E-4 33 20.000 2559.396 +INF -2.892E-4 34 20.000 2830.890 +INF -3.042E-4 35 20.000 3127.760 +INF 0.002 36 20.000 3452.047 +INF 0.002 37 20.000 3805.927 +INF 0.001 38 20.000 4191.714 +INF 8.7897E-4 39 20.000 4611.865 +INF 6.2567E-4 40 20.000 5068.988 +INF 4.4627E-4 41 20.000 5565.849 +INF 3.1894E-4 42 20.000 5964.048 +INF 2.3935E-4 43 20.000 6553.183 +INF 1.7083E-4 44 20.000 7209.357 +INF 1.2162E-4 45 20.000 7333.268 +INF 1.0128E-4 46 20.000 6997.964 +INF 9.5837E-5 47 20.000 7378.409 +INF 7.4283E-5 48 20.000 7794.732 +INF 5.7353E-5 49 20.000 7986.788 +INF 4.7071E-5 50 20.000 6838.197 +INF 5.5329E-5 51 20.000 10312.891 +INF 2.0961E-5 52 20.000 12809.078 +INF 1.1708E-5 53 20.000 12728.573 +INF 1.0216E-5 54 20.000 5366.012 +INF 4.9532E-5 55 20.000 8669.163 +INF 1.6352E-5 56 20.000 9524.176 +INF 1.1674E-5 57 20.000 9693.198 +INF 9.7113E-6 58 20.000 9269.498 +INF 9.1504E-6 59 20.000 9940.323 +INF 6.8563E-6 60 20.000 9588.683 +INF 6.3491E-6 ---- VAR K Capital stock trillions US dollars LOWER LEVEL UPPER MARGINAL 1 100.000 137.000 +INF . 2 100.000 170.053 +INF . 3 100.000 212.167 +INF . 4 100.000 261.043 +INF . 5 100.000 315.604 +INF . 6 100.000 375.572 +INF . 7 100.000 441.194 +INF . 8 100.000 513.056 +INF . 9 100.000 591.961 +INF . 10 100.000 678.860 +INF . 11 100.000 774.818 +INF . 12 100.000 880.990 +INF . 13 100.000 998.715 +INF . 14 100.000 1129.399 +INF . 15 100.000 1274.548 +INF . 16 100.000 1435.787 +INF . 17 100.000 1614.882 +INF . 18 100.000 1813.777 +INF . 19 100.000 2034.623 +INF . 20 100.000 2279.833 +INF . 21 100.000 2552.165 +INF . 22 100.000 2856.043 +INF . 23 100.000 3199.350 +INF . 24 100.000 3584.037 +INF . 25 100.000 4012.661 +INF . 26 100.000 4488.362 +INF . 27 100.000 5014.828 +INF . 28 100.000 5596.261 +INF . 29 100.000 6237.348 +INF . 30 100.000 6943.243 +INF . 31 100.000 7719.561 +INF . 32 100.000 8572.375 +INF . 33 100.000 9508.223 +INF . 34 100.000 10534.124 +INF . 35 100.000 11657.587 +INF . 36 100.000 12886.638 +INF . 37 100.000 14229.838 +INF . 38 100.000 15696.307 +INF . 39 100.000 17295.750 +INF . 40 100.000 19038.483 +INF . 41 100.000 20935.458 +INF . 42 100.000 21271.178 +INF . 43 100.000 23551.600 +INF . 44 100.000 26241.976 +INF . 45 100.000 22566.165 +INF . 46 100.000 15719.622 +INF . 47 100.000 15302.139 +INF . 48 100.000 15025.070 +INF . 49 100.000 13352.705 +INF . 50 100.000 6534.746 +INF . 51 100.000 21155.206 +INF . 52 100.000 35927.884 +INF . 53 100.000 29066.093 +INF . 54 100.000 1351.761 +INF . 55 100.000 5547.719 +INF . 56 100.000 6308.435 +INF . 57 100.000 5570.123 +INF . 58 100.000 4003.955 +INF . 59 100.000 4228.674 +INF . 60 100.000 3066.958 +INF . ---- VAR CPC Per capita consumption thousands US dollars LOWER LEVEL UPPER MARGINAL 1 -INF 6.656 +INF . 2 -INF 7.602 +INF . 3 -INF 8.768 +INF . 4 -INF 10.117 +INF . 5 -INF 11.643 +INF . 6 -INF 13.353 +INF . 7 -INF 15.263 +INF . 8 -INF 17.393 +INF . 9 -INF 19.769 +INF . 10 -INF 22.417 +INF . 11 -INF 25.368 +INF . 12 -INF 28.657 +INF . 13 -INF 32.322 +INF . 14 -INF 36.403 +INF . 15 -INF 40.945 +INF . 16 -INF 45.995 +INF . 17 -INF 51.608 +INF . 18 -INF 57.844 +INF . 19 -INF 64.771 +INF . 20 -INF 72.467 +INF . 21 -INF 81.075 +INF . 22 -INF 90.856 +INF . 23 -INF 101.778 +INF . 24 -INF 113.916 +INF . 25 -INF 127.364 +INF . 26 -INF 142.229 +INF . 27 -INF 158.630 +INF . 28 -INF 176.701 +INF . 29 -INF 196.586 +INF . 30 -INF 218.443 +INF . 31 -INF 242.442 +INF . 32 -INF 268.764 +INF . 33 -INF 297.605 +INF . 34 -INF 329.174 +INF . 35 -INF 363.694 +INF . 36 -INF 401.401 +INF . 37 -INF 442.550 +INF . 38 -INF 487.409 +INF . 39 -INF 536.264 +INF . 40 -INF 589.417 +INF . 41 -INF 647.192 +INF . 42 -INF 693.494 +INF . 43 -INF 761.998 +INF . 44 -INF 838.297 +INF . 45 -INF 852.706 +INF . 46 -INF 813.717 +INF . 47 -INF 857.955 +INF . 48 -INF 906.364 +INF . 49 -INF 928.696 +INF . 50 -INF 795.139 +INF . 51 -INF 1199.173 +INF . 52 -INF 1489.428 +INF . 53 -INF 1480.067 +INF . 54 -INF 623.955 +INF . 55 -INF 1008.042 +INF . 56 -INF 1107.462 +INF . 57 -INF 1127.116 +INF . 58 -INF 1077.849 +INF . 59 -INF 1155.852 +INF . 60 -INF 1114.963 +INF . ---- VAR PCY Per capita income thousands US dollars LOWER LEVEL UPPER MARGINAL 1 -INF 8.533 +INF . 2 -INF 9.746 +INF . 3 -INF 11.241 +INF . 4 -INF 12.971 +INF . 5 -INF 14.927 +INF . 6 -INF 17.119 +INF . 7 -INF 19.567 +INF . 8 -INF 22.299 +INF . 9 -INF 25.345 +INF . 10 -INF 28.740 +INF . 11 -INF 32.523 +INF . 12 -INF 36.740 +INF . 13 -INF 41.439 +INF . 14 -INF 46.671 +INF . 15 -INF 52.493 +INF . 16 -INF 58.968 +INF . 17 -INF 66.164 +INF . 18 -INF 74.159 +INF . 19 -INF 83.039 +INF . 20 -INF 92.906 +INF . 21 -INF 103.942 +INF . 22 -INF 116.483 +INF . 23 -INF 130.484 +INF . 24 -INF 146.046 +INF . 25 -INF 163.288 +INF . 26 -INF 182.345 +INF . 27 -INF 203.372 +INF . 28 -INF 226.540 +INF . 29 -INF 252.034 +INF . 30 -INF 280.055 +INF . 31 -INF 310.823 +INF . 32 -INF 344.569 +INF . 33 -INF 381.545 +INF . 34 -INF 422.018 +INF . 35 -INF 466.274 +INF . 36 -INF 514.617 +INF . 37 -INF 567.372 +INF . 38 -INF 624.883 +INF . 39 -INF 687.517 +INF . 40 -INF 755.663 +INF . 41 -INF 829.733 +INF . 42 -INF 889.095 +INF . 43 -INF 976.921 +INF . 44 -INF 1074.740 +INF . 45 -INF 1093.212 +INF . 46 -INF 1043.227 +INF . 47 -INF 1099.942 +INF . 48 -INF 1162.005 +INF . 49 -INF 1190.636 +INF . 50 -INF 1019.409 +INF . 51 -INF 1537.402 +INF . 52 -INF 1909.523 +INF . 53 -INF 1897.521 +INF . 54 -INF 799.942 +INF . 55 -INF 1292.362 +INF . 56 -INF 1419.824 +INF . 57 -INF 1445.021 +INF . 58 -INF 1381.857 +INF . 59 -INF 1481.861 +INF . 60 -INF 1429.440 +INF . ---- VAR I Investment trillions US dollars LOWER LEVEL UPPER MARGINAL 1 . 12.228 +INF . 2 . 15.287 +INF . 3 . 18.707 +INF . 4 . 22.458 +INF . 5 . 26.553 +INF . 6 . 31.024 +INF . 7 . 35.922 +INF . 8 . 41.307 +INF . 9 . 47.246 +INF . 10 . 53.811 +INF . 11 . 61.083 +INF . 12 . 69.153 +INF . 13 . 78.117 +INF . 14 . 88.075 +INF . 15 . 99.138 +INF . 16 . 111.425 +INF . 17 . 125.070 +INF . 18 . 140.220 +INF . 19 . 157.040 +INF . 20 . 175.724 +INF . 21 . 196.616 +INF . 22 . 220.351 +INF . 23 . 246.849 +INF . 24 . 276.298 +INF . 25 . 308.923 +INF . 26 . 344.983 +INF . 27 . 384.770 +INF . 28 . 428.605 +INF . 29 . 476.841 +INF . 30 . 529.860 +INF . 31 . 588.073 +INF . 32 . 651.922 +INF . 33 . 721.881 +INF . 34 . 798.457 +INF . 35 . 882.189 +INF . 36 . 973.655 +INF . 37 . 1073.467 +INF . 38 . 1182.279 +INF . 39 . 1300.783 +INF . 40 . 1429.715 +INF . 41 . 1569.855 +INF . 42 . 1682.168 +INF . 43 . 1848.334 +INF . 44 . 2033.409 +INF . 45 . 2068.358 +INF . 46 . 1973.785 +INF . 47 . 2081.090 +INF . 48 . 2198.515 +INF . 49 . 2252.684 +INF . 50 . 1928.723 +INF . 51 . 2908.765 +INF . 52 . 3612.817 +INF . 53 . 3590.110 +INF . 54 . 1513.491 +INF . 55 . 2445.149 +INF . 56 . 2686.306 +INF . 57 . 2733.979 +INF . 58 . 2614.474 +INF . 59 . 2803.681 +INF . 60 . 2704.501 +INF . ---- VAR S Gross savings rate as fraction of gross world product LOWER LEVEL UPPER MARGINAL 1 0.220 0.220 0.220 1936.030 2 0.220 0.220 0.220 -861.919 3 0.220 0.220 0.220 -1783.438 4 0.220 0.220 0.220 -1899.056 5 0.220 0.220 0.220 -1704.736 6 0.220 0.220 0.220 -1419.984 7 0.220 0.220 0.220 -1136.676 8 0.220 0.220 0.220 -888.849 9 0.220 0.220 0.220 -684.995 10 0.220 0.220 0.220 -523.049 11 0.220 0.220 0.220 -397.283 12 0.220 0.220 0.220 -300.024 13 0.220 0.220 0.220 -225.505 14 0.220 0.220 0.220 -168.771 15 0.220 0.220 0.220 -125.778 16 0.220 0.220 0.220 -93.333 17 0.220 0.220 0.220 -68.981 18 0.220 0.220 0.220 -50.905 19 0.220 0.220 0.220 -37.820 20 0.220 0.220 0.220 -28.955 21 0.220 0.220 0.220 -22.997 22 0.220 0.220 0.220 -17.607 23 0.220 0.220 0.220 -13.808 24 0.220 0.220 0.220 -11.535 25 0.220 0.220 0.220 -10.967 26 0.220 0.220 0.220 EPS 27 0.220 0.220 0.220 -3.891 28 0.220 0.220 0.220 -2.805 29 0.220 0.220 0.220 -1.894 30 0.220 0.220 0.220 -1.020 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 . 2 -INF 0.057 +INF . 3 -INF 0.055 +INF . 4 -INF 0.052 +INF . 5 -INF 0.050 +INF . 6 -INF 0.048 +INF . 7 -INF 0.046 +INF . 8 -INF 0.045 +INF . 9 -INF 0.044 +INF . 10 -INF 0.043 +INF . 11 -INF 0.042 +INF . 12 -INF 0.042 +INF . 13 -INF 0.042 +INF . 14 -INF 0.041 +INF . 15 -INF 0.041 +INF . 16 -INF 0.041 +INF . 17 -INF 0.040 +INF . 18 -INF 0.040 +INF . 19 -INF 0.040 +INF . 20 -INF 0.040 +INF . 21 -INF 0.040 +INF . 22 -INF 0.040 +INF . 23 -INF 0.040 +INF . 24 -INF 0.040 +INF . 25 -INF 0.040 +INF . 26 -INF 0.040 +INF . 27 -INF 0.039 +INF . 28 -INF 0.039 +INF . 29 -INF 0.039 +INF . 30 -INF 0.039 +INF . 31 -INF 0.039 +INF . 32 -INF 0.039 +INF . 33 -INF 0.038 +INF . 34 -INF 0.038 +INF . 35 -INF 0.038 +INF . 36 -INF 0.038 +INF . 37 -INF 0.038 +INF . 38 -INF 0.038 +INF . 39 -INF 0.037 +INF . 40 -INF 0.037 +INF . 41 -INF 0.037 +INF . 42 -INF 0.043 +INF . 43 -INF 0.042 +INF . 44 -INF 0.041 +INF . 45 -INF 0.060 +INF . 46 -INF 0.106 +INF . 47 -INF 0.120 +INF . 48 -INF 0.134 +INF . 49 -INF 0.165 +INF . 50 -INF 0.337 +INF . 51 -INF 0.122 +INF . 52 -INF 0.072 +INF . 53 -INF 0.103 +INF . 54 -INF 1.462 +INF . 55 -INF 0.536 +INF . 56 -INF 0.516 +INF . 57 -INF 0.604 +INF . 58 -INF 0.825 +INF . 59 -INF 0.839 +INF . 60 -INF 1.137 +INF . ---- VAR Y Gross world product net of abatement and damages LOWER LEVEL UPPER MARGINAL 1 . 55.583 +INF . 2 . 69.487 +INF . 3 . 85.029 +INF . 4 . 102.082 +INF . 5 . 120.693 +INF . 6 . 141.017 +INF . 7 . 163.281 +INF . 8 . 187.758 +INF . 9 . 214.752 +INF . 10 . 244.596 +INF . 11 . 277.648 +INF . 12 . 314.332 +INF . 13 . 355.076 +INF . 14 . 400.341 +INF . 15 . 450.626 +INF . 16 . 506.478 +INF . 17 . 568.500 +INF . 18 . 637.362 +INF . 19 . 713.819 +INF . 20 . 798.743 +INF . 21 . 893.707 +INF . 22 . 1001.594 +INF . 23 . 1122.041 +INF . 24 . 1255.901 +INF . 25 . 1404.196 +INF . 26 . 1568.105 +INF . 27 . 1748.953 +INF . 28 . 1948.205 +INF . 29 . 2167.460 +INF . 30 . 2408.454 +INF . 31 . 2673.058 +INF . 32 . 2963.281 +INF . 33 . 3281.277 +INF . 34 . 3629.347 +INF . 35 . 4009.948 +INF -2.803E-9 36 . 4425.701 +INF -9.76E-10 37 . 4879.394 +INF -3.36E-10 38 . 5373.993 +INF -1.04E-10 39 . 5912.648 +INF EPS 40 . 6498.703 +INF EPS 41 . 7135.704 +INF EPS 42 . 7646.216 +INF EPS 43 . 8401.517 +INF EPS 44 . 9242.765 +INF EPS 45 . 9401.626 +INF EPS 46 . 8971.749 +INF EPS 47 . 9459.499 +INF EPS 48 . 9993.247 +INF EPS 49 . 10239.473 +INF EPS 50 . 8766.920 +INF EPS 51 . 13221.656 +INF EPS 52 . 16421.895 +INF EPS 53 . 16318.683 +INF EPS 54 . 6879.503 +INF EPS 55 . 11114.311 +INF EPS 56 . 12210.482 +INF EPS 57 . 12427.177 +INF EPS 58 . 11883.972 +INF EPS 59 . 12744.004 +INF EPS 60 . 12293.184 +INF EPS ---- VAR YGROSS Gross world product GROSS of abatement and damages LOWER LEVEL UPPER MARGINAL 1 . 55.667 +INF . 2 . 69.685 +INF . 3 . 85.391 +INF . 4 . 102.688 +INF . 5 . 121.641 +INF . 6 . 142.428 +INF . 7 . 165.301 +INF . 8 . 190.559 +INF . 9 . 218.540 +INF . 10 . 249.611 +INF . 11 . 284.167 +INF . 12 . 322.636 +INF . 13 . 365.489 +INF . 14 . 413.228 +INF . 15 . 466.398 +INF . 16 . 525.584 +INF . 17 . 591.425 +INF . 18 . 664.613 +INF . 19 . 745.907 +INF . 20 . 836.134 +INF . 21 . 936.206 +INF . 22 . 1047.269 +INF . 23 . 1170.899 +INF . 24 . 1308.075 +INF . 25 . 1459.900 +INF . 26 . 1627.608 +INF . 27 . 1812.558 +INF . 28 . 2016.237 +INF . 29 . 2240.262 +INF . 30 . 2486.379 +INF . 31 . 2756.469 +INF . 32 . 3052.549 +INF . 33 . 3376.782 +INF . 34 . 3731.479 +INF . 35 . 4119.106 +INF -0.004 36 . 4542.293 +INF EPS 37 . 5003.839 +INF EPS 38 . 5506.723 +INF EPS 39 . 6054.108 +INF EPS 40 . 6649.350 +INF EPS 41 . 7296.009 +INF EPS 42 . 7812.720 +INF EPS 43 . 8578.891 +INF EPS 44 . 9431.990 +INF EPS 45 . 9588.332 +INF EPS 46 . 9144.602 +INF EPS 47 . 9636.340 +INF EPS 48 . 10174.581 +INF EPS 49 . 10419.841 +INF EPS 50 . 8916.904 +INF EPS 51 . 13442.037 +INF EPS 52 . 16688.057 +INF EPS 53 . 16575.757 +INF EPS 54 . 6984.830 +INF EPS 55 . 11279.728 +INF EPS 56 . 12387.166 +INF EPS 57 . 12602.054 +INF EPS 58 . 12046.834 +INF EPS 59 . 12917.904 +INF EPS 60 . 12368.320 +INF EPS ---- VAR YNET Output net of damages equation LOWER LEVEL UPPER MARGINAL 1 -INF 55.583 +INF . 2 -INF 69.507 +INF . 3 -INF 85.063 +INF . 4 -INF 102.139 +INF . 5 -INF 120.781 +INF . 6 -INF 141.149 +INF . 7 -INF 163.474 +INF . 8 -INF 188.034 +INF . 9 -INF 215.139 +INF . 10 -INF 245.132 +INF . 11 -INF 278.380 +INF . 12 -INF 315.323 +INF . 13 -INF 356.409 +INF . 14 -INF 402.124 +INF . 15 -INF 453.003 +INF . 16 -INF 509.637 +INF . 17 -INF 572.690 +INF . 18 -INF 642.911 +INF . 19 -INF 721.160 +INF . 20 -INF 808.431 +INF . 21 -INF 905.832 +INF . 22 -INF 1014.494 +INF . 23 -INF 1135.782 +INF . 24 -INF 1270.549 +INF . 25 -INF 1419.818 +INF . 26 -INF 1584.770 +INF . 27 -INF 1766.735 +INF . 28 -INF 1967.181 +INF . 29 -INF 2187.714 +INF . 30 -INF 2430.074 +INF . 31 -INF 2696.137 +INF . 32 -INF 2987.921 +INF . 33 -INF 3307.584 +INF . 34 -INF 3657.436 +INF . 35 -INF 4039.942 +INF . 36 -INF 4457.730 +INF . 37 -INF 4913.595 +INF . 38 -INF 5410.513 +INF . 39 -INF 5951.644 +INF . 40 -INF 6540.342 +INF . 41 -INF 7180.160 +INF . 42 -INF 7692.579 +INF . 43 -INF 8451.141 +INF . 44 -INF 9295.982 +INF . 45 -INF 9454.450 +INF . 46 -INF 9020.976 +INF . 47 -INF 9510.214 +INF . 48 -INF 10045.655 +INF . 49 -INF 10292.019 +INF . 50 -INF 8810.815 +INF . 51 -INF 13286.790 +INF . 52 -INF 16501.241 +INF . 53 -INF 16396.058 +INF . 54 -INF 6911.526 +INF . 55 -INF 11165.152 +INF . 56 -INF 12265.389 +INF . 57 -INF 12482.145 +INF . 58 -INF 11935.289 +INF . 59 -INF 12794.130 +INF . 60 -INF 12327.780 +INF . ---- VAR DAMAGES Damages LOWER LEVEL UPPER MARGINAL 1 -INF 0.084 +INF . 2 -INF 0.178 +INF . 3 -INF 0.328 +INF . 4 -INF 0.549 +INF . 5 -INF 0.860 +INF . 6 -INF 1.279 +INF . 7 -INF 1.827 +INF . 8 -INF 2.526 +INF . 9 -INF 3.401 +INF . 10 -INF 4.479 +INF . 11 -INF 5.787 +INF . 12 -INF 7.313 +INF . 13 -INF 9.080 +INF . 14 -INF 11.104 +INF . 15 -INF 13.394 +INF . 16 -INF 15.946 +INF . 17 -INF 18.735 +INF . 18 -INF 21.702 +INF . 19 -INF 24.747 +INF . 20 -INF 27.702 +INF . 21 -INF 30.373 +INF . 22 -INF 32.774 +INF . 23 -INF 35.116 +INF . 24 -INF 37.525 +INF . 25 -INF 40.082 +INF . 26 -INF 42.838 +INF . 27 -INF 45.823 +INF . 28 -INF 49.056 +INF . 29 -INF 52.548 +INF . 30 -INF 56.305 +INF . 31 -INF 60.331 +INF . 32 -INF 64.628 +INF . 33 -INF 69.198 +INF . 34 -INF 74.042 +INF . 35 -INF 79.163 +INF . 36 -INF 84.563 +INF . 37 -INF 90.244 +INF . 38 -INF 96.210 +INF . 39 -INF 102.464 +INF . 40 -INF 109.009 +INF . 41 -INF 115.849 +INF . 42 -INF 120.141 +INF . 43 -INF 127.750 +INF . 44 -INF 136.008 +INF . 45 -INF 133.882 +INF . 46 -INF 123.625 +INF . 47 -INF 126.126 +INF . 48 -INF 128.926 +INF . 49 -INF 127.822 +INF . 50 -INF 106.089 +INF . 51 -INF 155.247 +INF . 52 -INF 186.816 +INF . 53 -INF 179.699 +INF . 54 -INF 73.303 +INF . 55 -INF 114.576 +INF . 56 -INF 121.778 +INF . 57 -INF 119.909 +INF . 58 -INF 111.545 +INF . 59 -INF 123.774 +INF . 60 -INF 40.540 +INF . ---- VAR ABATECOST Cost of emissions reductions LOWER LEVEL UPPER MARGINAL 1 -INF 1.3292E-5 +INF . 2 -INF 0.020 +INF . 3 -INF 0.035 +INF . 4 -INF 0.057 +INF . 5 -INF 0.088 +INF . 6 -INF 0.133 +INF . 7 -INF 0.195 +INF . 8 -INF 0.279 +INF . 9 -INF 0.393 +INF . 10 -INF 0.545 +INF . 11 -INF 0.747 +INF . 12 -INF 1.014 +INF . 13 -INF 1.367 +INF . 14 -INF 1.833 +INF . 15 -INF 2.448 +INF . 16 -INF 3.258 +INF . 17 -INF 4.327 +INF . 18 -INF 5.737 +INF . 19 -INF 7.593 +INF . 20 -INF 10.021 +INF . 21 -INF 12.532 +INF . 22 -INF 13.317 +INF . 23 -INF 14.166 +INF . 24 -INF 15.081 +INF . 25 -INF 16.063 +INF . 26 -INF 17.116 +INF . 27 -INF 18.243 +INF . 28 -INF 19.450 +INF . 29 -INF 20.740 +INF . 30 -INF 22.120 +INF . 31 -INF 23.595 +INF . 32 -INF 25.172 +INF . 33 -INF 26.858 +INF . 34 -INF 28.658 +INF . 35 -INF 30.582 +INF . 36 -INF 32.636 +INF . 37 -INF 34.829 +INF . 38 -INF 37.170 +INF . 39 -INF 39.668 +INF . 40 -INF 42.332 +INF . 41 -INF 45.174 +INF . 42 -INF 47.087 +INF . 43 -INF 50.374 +INF . 44 -INF 53.995 +INF . 45 -INF 53.572 +INF . 46 -INF 49.902 +INF . 47 -INF 51.388 +INF . 48 -INF 53.081 +INF . 49 -INF 53.199 +INF . 50 -INF 44.424 +INF . 51 -INF 65.895 +INF . 52 -INF 80.245 +INF . 53 -INF 78.223 +INF . 54 -INF 32.363 +INF . 55 -INF 51.363 +INF . 56 -INF 55.451 +INF . 57 -INF 55.496 +INF . 58 -INF 51.797 +INF . 59 -INF 50.611 +INF . 60 -INF 34.710 +INF . ---- VAR CCA Cumulative industrial carbon emissions GTC LOWER LEVEL UPPER MARGINAL 1 . . 6000.000 . 2 . 85.320 6000.000 . 3 . 168.709 6000.000 EPS 4 . 259.321 6000.000 . 5 . 356.343 6000.000 . 6 . 458.921 6000.000 . 7 . 566.235 6000.000 . 8 . 677.495 6000.000 . 9 . 791.919 6000.000 . 10 . 908.696 6000.000 . 11 . 1026.937 6000.000 . 12 . 1145.641 6000.000 EPS 13 . 1263.620 6000.000 . 14 . 1379.435 6000.000 . 15 . 1491.338 6000.000 EPS 16 . 1597.196 6000.000 . 17 . 1694.427 6000.000 EPS 18 . 1779.896 6000.000 . 19 . 1849.797 6000.000 EPS 20 . 1899.639 6000.000 . 21 . 1924.236 6000.000 . 22 . 1925.573 6000.000 . 23 . 1926.777 6000.000 . 24 . 1927.860 6000.000 EPS 25 . 1928.835 6000.000 . 26 . 1929.712 6000.000 EPS 27 . 1930.502 6000.000 . 28 . 1931.213 6000.000 . 29 . 1931.853 6000.000 EPS 30 . 1932.428 6000.000 . 31 . 1932.946 6000.000 EPS 32 . 1933.413 6000.000 . 33 . 1933.832 6000.000 EPS 34 . 1934.210 6000.000 . 35 . 1934.550 6000.000 . 36 . 1934.856 6000.000 . 37 . 1935.131 6000.000 . 38 . 1935.379 6000.000 EPS 39 . 1935.602 6000.000 . 40 . 1935.803 6000.000 . 41 . 1935.983 6000.000 EPS 42 . 1936.146 6000.000 . 43 . 1936.292 6000.000 . 44 . 1936.424 6000.000 . 45 . 1936.672 6000.000 . 46 . 1936.815 6000.000 . 47 . 1936.912 6000.000 EPS 48 . 1937.140 6000.000 . 49 . 1937.218 6000.000 . 50 . 1937.454 6000.000 . 51 . 1940.310 6000.000 . 52 . 1940.466 6000.000 . 53 . 1940.517 6000.000 . 54 . 1940.563 6000.000 . 55 . 1940.701 6000.000 EPS 56 . 1940.738 6000.000 . 57 . 1940.825 6000.000 . 58 . 1940.855 6000.000 EPS 59 . 1947.635 6000.000 EPS 60 . 2022.954 6000.000 . ---- VAR PERIODU One period utility function LOWER LEVEL UPPER MARGINAL 1 -INF -149.250 +INF . 2 -INF -130.552 +INF . 3 -INF -113.051 +INF . 4 -INF -97.840 +INF . 5 -INF -84.889 +INF . 6 -INF -73.891 +INF . 7 -INF -64.520 +INF . 8 -INF -56.494 +INF . 9 -INF -49.584 +INF . 10 -INF -43.608 +INF . 11 -INF -38.420 +INF . 12 -INF -33.895 +INF . 13 -INF -29.939 +INF . 14 -INF -26.470 +INF . 15 -INF -23.423 +INF . 16 -INF -20.742 +INF . 17 -INF -18.377 +INF . 18 -INF -16.288 +INF . 19 -INF -14.439 +INF . 20 -INF -12.799 +INF . 21 -INF -11.334 +INF . 22 -INF -10.006 +INF . 23 -INF -8.825 +INF . 24 -INF -7.778 +INF . 25 -INF -6.851 +INF . 26 -INF -6.031 +INF . 27 -INF -5.304 +INF . 28 -INF -4.659 +INF . 29 -INF -4.087 +INF . 30 -INF -3.578 +INF . 31 -INF -3.125 +INF . 32 -INF -2.721 +INF . 33 -INF -2.360 +INF . 34 -INF -2.038 +INF . 35 -INF -1.750 +INF . 36 -INF -1.491 +INF . 37 -INF -1.260 +INF . 38 -INF -1.052 +INF . 39 -INF -0.865 +INF . 40 -INF -0.697 +INF . 41 -INF -0.545 +INF . 42 -INF -0.442 +INF . 43 -INF -0.312 +INF . 44 -INF -0.193 +INF . 45 -INF -0.173 +INF . 46 -INF -0.229 +INF . 47 -INF -0.166 +INF . 48 -INF -0.103 +INF . 49 -INF -0.077 +INF . 50 -INF -0.258 +INF . 51 -INF 0.166 +INF . 52 -INF 0.329 +INF . 53 -INF 0.324 +INF . 54 -INF -0.603 +INF . 55 -INF 0.008 +INF . 56 -INF 0.097 +INF . 57 -INF 0.113 +INF . 58 -INF 0.072 +INF . 59 -INF 0.135 +INF . 60 -INF 0.103 +INF . 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 00:00:31 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 00:00:31 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 SNOPT FROM LINE 308 **** SOLVER STATUS 1 Normal Completion **** MODEL STATUS 2 Locally Optimal **** OBJECTIVE VALUE 150163.1753 RESOURCE USAGE, LIMIT 0.026 99999.000 ITERATION COUNT, LIMIT 123 99900 EVALUATION ERRORS 0 0 SNOPT 7.2-4 Jul 14, 2011 23.7.1 LEX 26789.26792 LEG x86_64/Linux GAMS/SNOPT, Large Scale Nonlinear SQP Solver S N O P T 7.2-4 (June 2006) P. E. Gill, UC San Diego W. Murray and M. A. Saunders, Stanford University Work space allocated -- 3.25 Mb EXIT - Optimal Solution found, objective: 150163.2 ---- EQU CCTFIRST First period cumulative carbon LOWER LEVEL UPPER MARGINAL 1 . . . EPS ---- EQU CCACCA Cumulative carbon emissions LOWER LEVEL UPPER MARGINAL 2 . . . . 3 . . . EPS 4 . . . EPS 5 . . . EPS 6 . . . EPS 7 . . . EPS 8 . . . EPS 9 . . . EPS 10 . . . EPS 11 . . . . 12 . . . EPS 13 . . . EPS 14 . . . . 15 . . . EPS 16 . . . . 17 . . . EPS 18 . . . . 19 . . . EPS 20 . . . EPS 21 . . . EPS 22 . . . EPS 23 . . . . 24 . . . EPS 25 . . . . 26 . . . EPS 27 . . . EPS 28 . . . . 29 . . . EPS 30 . . . . 31 . . . EPS 32 . . . . 33 . . . EPS 34 . . . EPS 35 . . . EPS 36 . . . EPS 37 . . . . 38 . . . EPS 39 . . . EPS 40 . . . . 41 . . . EPS 42 . . . EPS 43 . . . EPS 44 . . . EPS 45 . . . EPS 46 . . . . 47 . . . EPS 48 . . . EPS 49 . . . EPS 50 . . . EPS 51 . . . EPS 52 . . . EPS 53 . . . EPS 54 . . . . 55 . . . EPS 56 . . . EPS 57 . . . . 58 . . . EPS 59 . . . . 60 . . . EPS 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 . . . 0.185 24 . . . 0.127 25 . . . 0.087 26 . . . 0.058 27 . . . 0.042 28 . . . 0.029 29 . . . 0.020 30 . . . 0.014 31 . . . 0.010 32 . . . 0.007 33 . . . 0.005 34 . . . 0.004 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 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 . . . 0.122 25 . . . 0.084 26 . . . 0.056 27 . . . 0.041 28 . . . 0.028 29 . . . 0.020 30 . . . 0.014 31 . . . 0.010 32 . . . 0.007 33 . . . 0.005 34 . . . 0.004 35 . . . 0.004 36 . 1.3481E-8 . . 37 . . . . 38 . . . . 39 . . . . 40 . . . EPS 41 . . . . 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 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 . . . 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 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 . . . 0.058 27 . . . 0.043 28 . . . 0.030 29 . . . 0.021 30 . . . 0.014 31 . . . 0.010 32 . . . 0.007 33 . . . 0.005 34 . . . 0.004 35 . . . -2.497E-9 36 . . . -8.69E-10 37 . . . -2.99E-10 38 . . . -9.31E-11 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 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 . . 0.001 32 -INF . . 7.2696E-4 33 -INF . . 5.2527E-4 34 -INF . . 3.8001E-4 35 -INF . . -2.50E-10 36 -INF . . -8.69E-11 37 -INF . . -2.99E-11 38 -INF . . -9.31E-12 39 -INF . . . 40 -INF . . EPS 41 -INF -1727.116 . . 42 -INF -686.878 . . 43 -INF -453.299 . . 44 -INF -6917.932 . . 45 -INF -1.283E+4 . . 46 -INF -9916.803 . . 47 -INF -1.112E+4 . . 48 -INF -1.387E+4 . . 49 -INF -2.065E+4 . . 50 -INF -410.545 . . 51 -INF -536.125 . . 52 -INF -1.959E+4 . . 53 -INF -4.468E+4 . . 54 -INF -1.006E+4 . . 55 -INF -2.008E+4 . . 56 -INF -2.349E+4 . . 57 -INF -2.528E+4 . . 58 -INF -2.331E+4 . . 59 -INF -2.644E+4 . . 60 -INF -2.811E+4 . . ---- 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 -2643.161 . . ---- 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 -3.162 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 -0.030 22 1.204 1.204 1.204 -0.021 23 1.083 1.083 1.083 -0.014 24 0.975 0.975 0.975 -0.010 25 0.877 0.877 0.877 -0.006 26 0.790 0.790 0.790 -0.004 27 0.711 0.711 0.711 -0.003 28 0.640 0.640 0.640 -0.002 29 0.576 0.576 0.576 -0.001 30 0.518 0.518 0.518 -0.001 31 0.466 0.466 0.466 -7.050E-4 32 0.420 0.420 0.420 -5.046E-4 33 0.378 0.378 0.378 -3.618E-4 34 0.340 0.340 0.340 -2.597E-4 35 0.306 0.306 0.306 EPS 36 0.275 0.275 0.275 EPS 37 0.248 0.248 0.248 EPS 38 0.223 0.223 0.223 EPS 39 0.201 0.201 0.201 EPS 40 0.181 0.181 0.181 EPS 41 0.163 0.163 0.163 EPS 42 0.146 0.146 0.146 EPS 43 0.132 0.132 0.132 EPS 44 0.119 0.119 0.119 EPS 45 0.107 0.107 0.107 EPS 46 0.096 0.096 0.096 EPS 47 0.086 0.086 0.086 EPS 48 0.078 0.078 0.078 EPS 49 0.070 0.070 0.070 EPS 50 0.063 0.063 0.063 EPS 51 0.057 0.057 0.057 EPS 52 0.051 0.051 0.051 EPS 53 0.046 0.046 0.046 EPS 54 0.041 0.041 0.041 EPS 55 0.037 0.037 0.037 EPS 56 0.033 0.033 0.033 EPS 57 0.030 0.030 0.030 EPS 58 0.027 0.027 0.027 EPS 59 0.024 0.024 0.024 EPS 60 0.022 0.022 0.022 EPS ---- EQU SEQ Savings rate equation LOWER LEVEL UPPER MARGINAL 1 . . . -1936.030 2 . . . 861.919 3 . . . 1783.438 4 . . . 1899.056 5 . . . 1704.736 6 . . . 1419.984 7 . . . 1136.676 8 . . . 888.848 9 . . . 684.994 10 . . . 523.047 11 . . . 397.280 12 . . . 300.021 13 . . . 225.504 14 . . . 168.772 15 . . . 125.781 16 . . . 93.335 17 . . . 68.983 18 . . . 50.907 19 . . . 37.821 20 . . . 28.955 21 . . . 22.997 22 . . . 17.608 23 . . . 13.808 24 . . . 11.535 25 . . . 10.968 26 . . . . 27 . . . 3.891 28 . . . 2.805 29 . . . 1.894 30 . . . 1.020 31 . . . . 32 . . . . 33 . . . . 34 . . . . 35 . . . . 36 . . . . 37 . . . . 38 . . . . 39 . . . . 40 . . . . 41 . . . . 42 . . . . 43 . . . . 44 . . . . 45 . . . . 46 . . . . 47 . . . . 48 . . . . 49 . . . . 50 . . . . 51 . . . . 52 . . . . 53 . . . . 54 . . . . 55 . . . . 56 . . . . 57 . . . . 58 . . . . 59 . . . . 60 . . . . ---- 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 -162.037 3 0.012 0.012 0.012 -147.991 4 0.048 0.048 0.048 -130.474 5 0.084 0.084 0.084 -112.269 6 0.120 0.120 0.120 -94.905 7 0.156 0.156 0.156 -79.146 8 0.192 0.192 0.192 -65.297 9 0.228 0.228 0.228 -53.397 10 0.264 0.264 0.264 -43.334 11 0.300 0.300 0.300 -34.922 12 0.300 0.300 0.300 -27.945 13 0.300 0.300 0.300 -22.232 14 0.300 0.300 0.300 -17.597 15 0.300 0.300 0.300 -13.861 16 0.300 0.300 0.300 -10.865 17 0.300 0.300 0.300 -8.471 18 0.300 0.300 0.300 -6.565 19 0.300 0.300 0.300 -5.053 20 0.300 0.300 0.300 -3.860 21 0.300 0.300 0.300 -2.926 22 0.300 0.300 0.300 -2.206 23 0.300 0.300 0.300 -1.661 24 0.300 0.300 0.300 -1.249 25 0.300 0.300 0.300 -0.938 26 0.300 0.300 0.300 -0.705 27 0.300 0.300 0.300 -0.546 28 0.300 0.300 0.300 -0.414 29 0.300 0.300 0.300 -0.314 30 0.300 0.300 0.300 -0.238 31 0.300 0.300 0.300 -0.178 32 0.300 0.300 0.300 -0.130 33 0.300 0.300 0.300 -0.087 34 0.300 0.300 0.300 -0.045 35 0.300 0.300 0.300 . 36 0.300 0.300 0.300 . 37 0.300 0.300 0.300 . 38 0.300 0.300 0.300 . 39 0.300 0.300 0.300 . 40 0.300 0.300 0.300 . 41 0.300 0.300 0.300 . 42 0.300 0.300 0.300 . 43 0.300 0.300 0.300 . 44 0.300 0.300 0.300 . 45 0.300 0.300 0.300 . 46 0.300 0.300 0.300 . 47 0.300 0.300 0.300 . 48 0.300 0.300 0.300 . 49 0.300 0.300 0.300 . 50 0.300 0.300 0.300 . 51 0.300 0.300 0.300 . 52 0.300 0.300 0.300 . 53 0.300 0.300 0.300 . 54 0.300 0.300 0.300 . 55 0.300 0.300 0.300 . 56 0.300 0.300 0.300 . 57 0.300 0.300 0.300 . 58 0.300 0.300 0.300 . 59 0.300 0.300 0.300 . 60 0.300 0.300 0.300 . ---- EQU MMAT0 Starting atmospheric concentration LOWER LEVEL UPPER MARGINAL 1 808.900 808.900 808.900 -2.791 ---- EQU MMAT Atmospheric concentration equation LOWER LEVEL UPPER MARGINAL 2 . . . -3.215 3 . . . -3.162 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 . . . -0.030 23 . . . -0.021 24 . . . -0.014 25 . . . -0.010 26 . . . -0.006 27 . . . -0.004 28 . . . -0.003 29 . . . -0.002 30 . . . -0.001 31 . . . -0.001 32 . . . -7.050E-4 33 . . . -5.046E-4 34 . . . -3.618E-4 35 . . . -2.597E-4 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 MMATAVEQ Average concentrations equation LOWER LEVEL UPPER MARGINAL 1 . . . EPS 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 . . . -8.989E-4 32 . . . -6.651E-4 33 . . . -4.511E-4 34 . . . -2.375E-4 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 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 . . . -0.979 3 . . . -0.787 4 . . . -0.627 5 . . . -0.495 6 . . . -0.389 7 . . . -0.304 8 . . . -0.237 9 . . . -0.185 10 . . . -0.143 11 . . . -0.111 12 . . . -0.086 13 . . . -0.067 14 . . . -0.052 15 . . . -0.040 16 . . . -0.031 17 . . . -0.024 18 . . . -0.018 19 . . . -0.014 20 . . . -0.010 21 . . . -0.007 22 . . . -0.005 23 . . . -0.003 24 . . . -0.002 25 . . . -0.002 26 . . . -0.001 27 . . . -7.166E-4 28 . . . -4.912E-4 29 . . . -3.356E-4 30 . . . -2.275E-4 31 . . . -1.516E-4 32 . . . -9.741E-5 33 . . . -5.670E-5 34 . . . -2.525E-5 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 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 . . . -0.002 9 . . . -0.002 10 . . . -0.001 11 . . . -0.001 12 . . . -8.528E-4 13 . . . -6.467E-4 14 . . . -4.872E-4 15 . . . -3.640E-4 16 . . . -2.690E-4 17 . . . -1.960E-4 18 . . . -1.405E-4 19 . . . -9.866E-5 20 . . . -6.790E-5 21 . . . -4.609E-5 22 . . . -3.128E-5 23 . . . -2.121E-5 24 . . . -1.436E-5 25 . . . -9.702E-6 26 . . . -6.521E-6 27 . . . -4.300E-6 28 . . . -2.777E-6 29 . . . -1.736E-6 30 . . . -1.029E-6 31 . . . -5.583E-7 32 . . . -2.553E-7 33 . . . -7.874E-8 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 TATMEQ Temperature-climate equation for atmosphere LOWER LEVEL UPPER MARGINAL 2 . . . -736.533 3 . . . -672.687 4 . . . -593.065 5 . . . -510.313 6 . . . -431.385 7 . . . -359.753 8 . . . -296.804 9 . . . -242.712 10 . . . -196.972 11 . . . -158.738 12 . . . -127.021 13 . . . -101.054 14 . . . -79.987 15 . . . -63.006 16 . . . -49.386 17 . . . -38.504 18 . . . -29.841 19 . . . -22.968 20 . . . -17.543 21 . . . -13.299 22 . . . -10.029 23 . . . -7.548 24 . . . -5.676 25 . . . -4.265 26 . . . -3.204 27 . . . -2.483 28 . . . -1.884 29 . . . -1.428 30 . . . -1.080 31 . . . -0.808 32 . . . -0.590 33 . . . -0.395 34 . . . -0.205 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 TATM0EQ Initial condition for atmospheric temperature LOWER LEVEL UPPER MARGINAL 1 0.731 0.731 0.731 -763.336 ---- EQU TOCEANEQ Temperature-climate equation for lower oceans LOWER LEVEL UPPER MARGINAL 2 . . . -219.410 3 . . . -184.224 4 . . . -152.717 5 . . . -125.302 6 . . . -101.927 7 . . . -82.298 8 . . . -66.009 9 . . . -52.621 10 . . . -41.707 11 . . . -32.874 12 . . . -25.779 13 . . . -20.115 14 . . . -15.617 15 . . . -12.062 16 . . . -9.266 17 . . . -7.078 18 . . . -5.378 19 . . . -4.065 20 . . . -3.060 21 . . . -2.297 22 . . . -1.721 23 . . . -1.288 24 . . . -0.961 25 . . . -0.715 26 . . . -0.530 27 . . . -0.386 28 . . . -0.275 29 . . . -0.190 30 . . . -0.125 31 . . . -0.076 32 . . . -0.039 33 . . . -0.014 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 TOCEAN0EQ Initial condition for lower ocean temperature LOWER LEVEL UPPER MARGINAL 1 0.007 0.007 0.007 -257.051 ---- 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 0.005 231.404 2 . 0.158 1.000 . 3 . 0.184 1.000 . 4 . 0.211 1.000 . 5 . 0.241 1.000 . 6 . 0.271 1.000 . 7 . 0.303 1.000 . 8 . 0.337 1.000 . 9 . 0.373 1.000 . 10 . 0.410 1.000 . 11 . 0.450 1.000 . 12 . 0.491 1.000 . 13 . 0.536 1.000 . 14 . 0.583 1.000 . 15 . 0.633 1.000 . 16 . 0.687 1.000 . 17 . 0.744 1.000 . 18 . 0.806 1.000 . 19 . 0.873 1.000 . 20 . 0.943 1.000 . 21 . 1.000 1.000 . 22 . 1.000 1.000 . 23 . 1.000 1.000 . 24 . 1.000 1.000 . 25 . 1.000 1.000 . 26 . 1.000 1.000 . 27 . 1.000 1.000 . 28 . 1.000 1.000 . 29 . 1.000 1.000 . 30 . 1.000 1.000 . 31 . 1.000 1.000 . 32 . 1.000 1.000 . 33 . 1.000 1.000 . 34 . 1.000 1.000 . 35 . 1.000 1.000 . 36 . 1.000 1.000 . 37 . 1.000 1.000 . 38 . 1.000 1.000 . 39 . 1.000 1.000 . 40 . 1.000 1.000 . 41 . 1.000 1.000 . 42 . 1.000 1.000 . 43 . 1.000 1.000 . 44 . 1.000 1.000 . 45 . 1.000 1.000 . 46 . 1.000 1.000 . 47 . 1.000 1.000 . 48 . 1.000 1.000 . 49 . 1.000 1.000 . 50 . 0.999 1.000 . 51 . 1.000 1.000 . 52 . 1.000 1.000 . 53 . 1.000 1.000 . 54 . 1.000 1.000 . 55 . 1.000 1.000 . 56 . 1.000 1.000 . 57 . 1.000 1.000 . 58 . 0.997 1.000 . 59 . 0.970 1.000 . 60 . 0.866 1.000 . ---- VAR FORC Radiative forcing in watts per m2 LOWER LEVEL UPPER MARGINAL 1 -INF 1.791 +INF . 2 -INF 2.142 +INF . 3 -INF 2.453 +INF . 4 -INF 2.758 +INF . 5 -INF 3.056 +INF . 6 -INF 3.342 +INF . 7 -INF 3.615 +INF . 8 -INF 3.873 +INF . 9 -INF 4.118 +INF . 10 -INF 4.347 +INF . 11 -INF 4.560 +INF . 12 -INF 4.720 +INF . 13 -INF 4.861 +INF . 14 -INF 4.980 +INF . 15 -INF 5.075 +INF . 16 -INF 5.142 +INF . 17 -INF 5.174 +INF . 18 -INF 5.164 +INF . 19 -INF 5.102 +INF . 20 -INF 4.976 +INF . 21 -INF 4.784 +INF . 22 -INF 4.580 +INF . 23 -INF 4.410 +INF . 24 -INF 4.265 +INF . 25 -INF 4.139 +INF . 26 -INF 4.026 +INF . 27 -INF 3.924 +INF . 28 -INF 3.830 +INF . 29 -INF 3.742 +INF . 30 -INF 3.658 +INF . 31 -INF 3.578 +INF . 32 -INF 3.501 +INF . 33 -INF 3.426 +INF . 34 -INF 3.354 +INF . 35 -INF 3.284 +INF . 36 -INF 3.215 +INF . 37 -INF 3.149 +INF . 38 -INF 3.084 +INF . 39 -INF 3.020 +INF . 40 -INF 2.958 +INF . 41 -INF 2.898 +INF . 42 -INF 2.839 +INF . 43 -INF 2.781 +INF . 44 -INF 2.726 +INF . 45 -INF 2.671 +INF . 46 -INF 2.617 +INF . 47 -INF 2.566 +INF . 48 -INF 2.515 +INF . 49 -INF 2.465 +INF . 50 -INF 2.426 +INF . 51 -INF 2.386 +INF . 52 -INF 2.337 +INF . 53 -INF 2.290 +INF . 54 -INF 2.245 +INF . 55 -INF 2.202 +INF . 56 -INF 2.159 +INF . 57 -INF 2.119 +INF . 58 -INF 2.101 +INF . 59 -INF 2.325 +INF . 60 -INF -1.262 +INF . ---- VAR TATM Temperature of atmosphere in degrees C LOWER LEVEL UPPER MARGINAL 1 . 0.731 20.000 . 2 . 0.951 20.000 . 3 . 1.165 20.000 . 4 . 1.376 20.000 . 5 . 1.584 20.000 . 6 . 1.786 20.000 . 7 . 1.984 20.000 . 8 . 2.175 20.000 . 9 . 2.360 20.000 . 10 . 2.537 20.000 . 11 . 2.706 20.000 . 12 . 2.858 20.000 . 13 . 2.996 20.000 . 14 . 3.119 20.000 . 15 . 3.227 20.000 . 16 . 3.320 20.000 . 17 . 3.395 20.000 . 18 . 3.448 20.000 . 19 . 3.477 20.000 . 20 . 3.474 20.000 . 21 . 3.437 20.000 . 22 . 3.373 20.000 . 23 . 3.300 20.000 . 24 . 3.226 20.000 . 25 . 3.153 20.000 . 26 . 3.086 20.000 . 27 . 3.023 20.000 . 28 . 2.964 20.000 . 29 . 2.909 20.000 . 30 . 2.857 20.000 . 31 . 2.808 20.000 . 32 . 2.760 20.000 . 33 . 2.715 20.000 . 34 . 2.670 20.000 . 35 . 2.627 20.000 . 36 . 2.585 20.000 . 37 . 2.544 20.000 . 38 . 2.503 20.000 . 39 . 2.463 20.000 . 40 . 2.423 20.000 . 41 . 2.384 20.000 . 42 . 2.346 20.000 . 43 . 2.308 20.000 . 44 . 2.270 20.000 . 45 . 2.233 20.000 . 46 . 2.197 20.000 . 47 . 2.161 20.000 . 48 . 2.126 20.000 . 49 . 2.092 20.000 . 50 . 2.059 20.000 . 51 . 2.029 20.000 . 52 . 1.997 20.000 . 53 . 1.965 20.000 . 54 . 1.933 20.000 . 55 . 1.901 20.000 . 56 . 1.870 20.000 . 57 . 1.840 20.000 . 58 . 1.814 20.000 . 59 . 1.846 20.000 . 60 . 1.076 20.000 . ---- VAR TOCEAN Temperatureof lower oceans degrees C LOWER LEVEL UPPER MARGINAL 1 -1.000 0.007 20.000 . 2 -1.000 0.043 20.000 . 3 -1.000 0.088 20.000 . 4 -1.000 0.142 20.000 . 5 -1.000 0.204 20.000 . 6 -1.000 0.273 20.000 . 7 -1.000 0.349 20.000 . 8 -1.000 0.430 20.000 . 9 -1.000 0.518 20.000 . 10 -1.000 0.610 20.000 . 11 -1.000 0.706 20.000 . 12 -1.000 0.806 20.000 . 13 -1.000 0.909 20.000 . 14 -1.000 1.013 20.000 . 15 -1.000 1.118 20.000 . 16 -1.000 1.224 20.000 . 17 -1.000 1.329 20.000 . 18 -1.000 1.432 20.000 . 19 -1.000 1.533 20.000 . 20 -1.000 1.630 20.000 . 21 -1.000 1.722 20.000 . 22 -1.000 1.808 20.000 . 23 -1.000 1.886 20.000 . 24 -1.000 1.957 20.000 . 25 -1.000 2.020 20.000 . 26 -1.000 2.077 20.000 . 27 -1.000 2.127 20.000 . 28 -1.000 2.172 20.000 . 29 -1.000 2.212 20.000 . 30 -1.000 2.247 20.000 . 31 -1.000 2.277 20.000 . 32 -1.000 2.304 20.000 . 33 -1.000 2.326 20.000 . 34 -1.000 2.346 20.000 . 35 -1.000 2.362 20.000 . 36 -1.000 2.375 20.000 . 37 -1.000 2.386 20.000 . 38 -1.000 2.394 20.000 . 39 -1.000 2.399 20.000 . 40 -1.000 2.402 20.000 . 41 -1.000 2.403 20.000 . 42 -1.000 2.402 20.000 . 43 -1.000 2.400 20.000 . 44 -1.000 2.395 20.000 . 45 -1.000 2.389 20.000 . 46 -1.000 2.381 20.000 . 47 -1.000 2.372 20.000 . 48 -1.000 2.361 20.000 . 49 -1.000 2.350 20.000 . 50 -1.000 2.337 20.000 . 51 -1.000 2.323 20.000 . 52 -1.000 2.308 20.000 . 53 -1.000 2.293 20.000 . 54 -1.000 2.276 20.000 . 55 -1.000 2.259 20.000 . 56 -1.000 2.241 20.000 . 57 -1.000 2.223 20.000 . 58 -1.000 2.203 20.000 . 59 -1.000 2.184 20.000 . 60 -1.000 2.167 20.000 . ---- VAR MAT Carbon concentration in atmosphere GtC LOWER LEVEL UPPER MARGINAL 1 10.000 808.900 +INF . 2 10.000 863.108 +INF . 3 10.000 907.615 +INF -1.165E-5 4 10.000 954.046 +INF 5.3059E-5 5 10.000 1001.583 +INF 2.3186E-5 6 10.000 1049.507 +INF 4.2950E-5 7 10.000 1097.239 +INF 6.6267E-5 8 10.000 1144.300 +INF 8.5976E-5 9 10.000 1190.270 +INF 9.4078E-5 10 10.000 1234.726 +INF 8.0779E-5 11 10.000 1277.210 +INF 1.0881E-4 12 10.000 1317.183 +INF 1.1957E-4 13 10.000 1353.975 +INF 1.2891E-4 14 10.000 1386.742 +INF 1.5481E-4 15 10.000 1414.431 +INF 1.7327E-4 16 10.000 1435.743 +INF 2.1136E-4 17 10.000 1449.098 +INF 2.4709E-4 18 10.000 1452.579 +INF 2.8044E-4 19 10.000 1443.855 +INF 3.4431E-4 20 10.000 1420.231 +INF 4.1669E-4 21 10.000 1378.677 +INF 0.001 22 10.000 1323.732 +INF 0.003 23 10.000 1280.012 +INF 6.2102E-4 24 10.000 1244.266 +INF -3.786E-4 25 10.000 1214.234 +INF -8.411E-4 26 10.000 1188.341 +INF -9.047E-4 27 10.000 1165.487 +INF -0.001 28 10.000 1144.904 +INF -0.001 29 10.000 1126.054 +INF -8.870E-4 30 10.000 1108.558 +INF -7.543E-4 31 10.000 1092.148 +INF -6.213E-4 32 10.000 1076.635 +INF -4.969E-4 33 10.000 1061.880 +INF -3.516E-4 34 10.000 1047.786 +INF -1.931E-4 35 10.000 1034.278 +INF 1.4101E-4 36 10.000 1021.302 +INF EPS 37 10.000 1008.815 +INF EPS 38 10.000 996.784 +INF EPS 39 10.000 985.182 +INF EPS 40 10.000 973.987 +INF EPS 41 10.000 963.181 +INF EPS 42 10.000 952.745 +INF EPS 43 10.000 942.665 +INF EPS 44 10.000 932.928 +INF EPS 45 10.000 923.650 +INF EPS 46 10.000 914.573 +INF EPS 47 10.000 905.768 +INF EPS 48 10.000 897.406 +INF EPS 49 10.000 889.167 +INF EPS 50 10.000 881.381 +INF EPS 51 10.000 876.466 +INF EPS 52 10.000 868.600 +INF EPS 53 10.000 861.028 +INF EPS 54 10.000 853.815 +INF EPS 55 10.000 847.014 +INF EPS 56 10.000 840.381 +INF EPS 57 10.000 834.063 +INF EPS 58 10.000 827.925 +INF EPS 59 10.000 828.769 +INF EPS 60 10.000 897.091 +INF EPS ---- VAR MATAV Average concentrations LOWER LEVEL UPPER MARGINAL 1 . 836.004 +INF . 2 . 885.361 +INF . 3 . 930.830 +INF . 4 . 977.814 +INF . 5 . 1025.545 +INF . 6 . 1073.373 +INF . 7 . 1120.769 +INF . 8 . 1167.285 +INF . 9 . 1212.498 +INF . 10 . 1255.968 +INF . 11 . 1297.196 +INF . 12 . 1335.579 +INF . 13 . 1370.359 +INF . 14 . 1400.587 +INF . 15 . 1425.087 +INF . 16 . 1442.420 +INF . 17 . 1450.838 +INF . 18 . 1448.217 +INF . 19 . 1432.043 +INF . 20 . 1399.454 +INF . 21 . 1351.205 +INF . 22 . 1301.872 +INF . 23 . 1262.139 +INF . 24 . 1229.250 +INF . 25 . 1201.288 +INF . 26 . 1176.914 +INF . 27 . 1155.195 +INF . 28 . 1135.479 +INF . 29 . 1117.306 +INF . 30 . 1100.353 +INF . 31 . 1084.391 +INF . 32 . 1069.257 +INF . 33 . 1054.833 +INF . 34 . 1041.032 +INF . 35 . 1027.790 +INF . 36 . 1015.058 +INF . 37 . 1002.799 +INF . 38 . 990.983 +INF . 39 . 979.585 +INF . 40 . 968.584 +INF . 41 . 957.963 +INF . 42 . 947.705 +INF . 43 . 937.797 +INF . 44 . 928.289 +INF . 45 . 919.112 +INF . 46 . 910.170 +INF . 47 . 901.587 +INF . 48 . 893.286 +INF . 49 . 885.274 +INF . 50 . 878.923 +INF . 51 . 872.533 +INF . 52 . 864.814 +INF . 53 . 857.422 +INF . 54 . 850.415 +INF . 55 . 843.697 +INF . 56 . 837.222 +INF . 57 . 830.994 +INF . 58 . 828.347 +INF . 59 . 862.930 +INF . 60 . 448.545 +INF . ---- VAR MU Carbon concentration in shallow oceans Gtc LOWER LEVEL UPPER MARGINAL 1 100.000 1255.000 +INF . 2 100.000 1280.635 +INF . 3 100.000 1312.775 +INF . 4 100.000 1348.628 +INF . 5 100.000 1388.018 +INF . 6 100.000 1430.640 +INF . 7 100.000 1476.095 +INF . 8 100.000 1523.939 +INF . 9 100.000 1573.698 +INF . 10 100.000 1624.892 +INF . 11 100.000 1677.030 +INF . 12 100.000 1729.608 +INF . 13 100.000 1782.094 +INF . 14 100.000 1833.907 +INF . 15 100.000 1884.393 +INF . 16 100.000 1932.792 +INF . 17 100.000 1978.214 +INF . 18 100.000 2019.596 +INF . 19 100.000 2055.672 +INF . 20 100.000 2084.919 +INF . 21 100.000 2105.526 +INF . 22 100.000 2115.376 +INF . 23 100.000 2113.521 +INF . 24 100.000 2103.808 +INF . 25 100.000 2088.905 +INF . 26 100.000 2070.654 +INF . 27 100.000 2050.328 +INF . 28 100.000 2028.806 +INF . 29 100.000 2006.690 +INF . 30 100.000 1984.391 +INF . 31 100.000 1962.189 +INF . 32 100.000 1940.272 +INF . 33 100.000 1918.762 +INF . 34 100.000 1897.741 +INF . 35 100.000 1877.257 +INF . 36 100.000 1857.339 +INF . 37 100.000 1838.000 +INF . 38 100.000 1819.244 +INF . 39 100.000 1801.070 +INF . 40 100.000 1783.468 +INF . 41 100.000 1766.429 +INF . 42 100.000 1749.940 +INF . 43 100.000 1733.987 +INF . 44 100.000 1718.557 +INF . 45 100.000 1703.634 +INF . 46 100.000 1689.228 +INF . 47 100.000 1675.298 +INF . 48 100.000 1661.823 +INF . 49 100.000 1648.818 +INF . 50 100.000 1636.234 +INF . 51 100.000 1624.094 +INF . 52 100.000 1612.872 +INF . 53 100.000 1601.874 +INF . 54 100.000 1591.119 +INF . 55 100.000 1580.638 +INF . 56 100.000 1570.468 +INF . 57 100.000 1560.591 +INF . 58 100.000 1551.024 +INF . 59 100.000 1541.752 +INF . 60 100.000 1534.052 +INF . ---- VAR ML Carbon concentration in lower oceans GtC LOWER LEVEL UPPER MARGINAL 1 1000.000 18365.000 +INF . 2 1000.000 18370.477 +INF . 3 1000.000 18377.219 +INF . 4 1000.000 18385.547 +INF . 5 1000.000 18395.642 +INF . 6 1000.000 18407.675 +INF . 7 1000.000 18421.801 +INF . 8 1000.000 18438.156 +INF . 9 1000.000 18456.852 +INF . 10 1000.000 18477.978 +INF . 11 1000.000 18501.597 +INF . 12 1000.000 18527.750 +INF . 13 1000.000 18556.450 +INF . 14 1000.000 18587.685 +INF . 15 1000.000 18621.414 +INF . 16 1000.000 18657.561 +INF . 17 1000.000 18696.016 +INF . 18 1000.000 18736.621 +INF . 19 1000.000 18779.170 +INF . 20 1000.000 18823.389 +INF . 21 1000.000 18868.933 +INF . 22 1000.000 18915.365 +INF . 23 1000.000 18962.145 +INF . 24 1000.000 19008.686 +INF . 25 1000.000 19054.596 +INF . 26 1000.000 19099.618 +INF . 27 1000.000 19143.587 +INF . 28 1000.000 19186.403 +INF . 29 1000.000 19228.009 +INF . 30 1000.000 19268.379 +INF . 31 1000.000 19307.509 +INF . 32 1000.000 19345.406 +INF . 33 1000.000 19382.090 +INF . 34 1000.000 19417.583 +INF . 35 1000.000 19451.915 +INF . 36 1000.000 19485.116 +INF . 37 1000.000 19517.217 +INF . 38 1000.000 19548.251 +INF . 39 1000.000 19578.250 +INF . 40 1000.000 19607.248 +INF . 41 1000.000 19635.274 +INF . 42 1000.000 19662.362 +INF . 43 1000.000 19688.540 +INF . 44 1000.000 19713.839 +INF . 45 1000.000 19738.288 +INF . 46 1000.000 19761.914 +INF . 47 1000.000 19784.747 +INF . 48 1000.000 19806.811 +INF . 49 1000.000 19828.133 +INF . 50 1000.000 19848.739 +INF . 51 1000.000 19868.651 +INF . 52 1000.000 19887.893 +INF . 53 1000.000 19906.515 +INF . 54 1000.000 19924.529 +INF . 55 1000.000 19941.948 +INF . 56 1000.000 19958.790 +INF . 57 1000.000 19975.070 +INF . 58 1000.000 19990.806 +INF . 59 1000.000 20006.014 +INF . 60 1000.000 20020.712 +INF . ---- VAR E CO2-equivalent emissions GtC LOWER LEVEL UPPER MARGINAL 1 . 85.320 +INF . 2 . 83.388 +INF . 3 . 90.613 +INF . 4 . 97.022 +INF . 5 . 102.578 +INF . 6 . 107.313 +INF . 7 . 111.260 +INF . 8 . 114.425 +INF . 9 . 116.776 +INF . 10 . 118.241 +INF . 11 . 118.704 +INF . 12 . 117.979 +INF . 13 . 115.815 +INF . 14 . 111.903 +INF . 15 . 105.858 +INF . 16 . 97.231 +INF . 17 . 85.469 +INF . 18 . 69.901 +INF . 19 . 49.841 +INF . 20 . 24.597 +INF . 21 . 1.337 +INF . 22 . 1.204 +INF . 23 . 1.083 +INF . 24 . 0.975 +INF . 25 . 0.877 +INF . 26 . 0.790 +INF . 27 . 0.711 +INF . 28 . 0.640 +INF . 29 . 0.576 +INF . 30 . 0.518 +INF . 31 . 0.466 +INF . 32 . 0.420 +INF . 33 . 0.378 +INF . 34 . 0.340 +INF . 35 . 0.306 +INF . 36 . 0.275 +INF . 37 . 0.248 +INF . 38 . 0.223 +INF . 39 . 0.201 +INF . 40 . 0.181 +INF . 41 . 0.163 +INF . 42 . 0.146 +INF . 43 . 0.132 +INF . 44 . 0.248 +INF . 45 . 0.143 +INF . 46 . 0.097 +INF . 47 . 0.228 +INF . 48 . 0.078 +INF . 49 . 0.236 +INF . 50 . 2.856 +INF . 51 . 0.156 +INF . 52 . 0.051 +INF . 53 . 0.046 +INF . 54 . 0.138 +INF . 55 . 0.037 +INF . 56 . 0.087 +INF . 57 . 0.030 +INF . 58 . 6.780 +INF . 59 . 75.319 +INF . 60 . 318.086 +INF EPS ---- VAR C Consumption trillions US dollars LOWER LEVEL UPPER MARGINAL 1 20.000 43.354 +INF . 2 20.000 54.199 +INF . 3 20.000 66.322 +INF . 4 20.000 79.624 +INF . 5 20.000 94.141 +INF . 6 20.000 109.993 +INF . 7 20.000 127.359 +INF . 8 20.000 146.451 +INF . 9 20.000 167.506 +INF . 10 20.000 190.785 +INF . 11 20.000 216.565 +INF . 12 20.000 245.179 +INF . 13 20.000 276.959 +INF . 14 20.000 312.266 +INF . 15 20.000 351.488 +INF . 16 20.000 395.053 +INF . 17 20.000 443.430 +INF . 18 20.000 497.142 +INF . 19 20.000 556.779 +INF . 20 20.000 623.019 +INF . 21 20.000 697.091 +INF . 22 20.000 781.243 +INF . 23 20.000 875.192 +INF . 24 20.000 979.603 +INF . 25 20.000 1095.273 +INF . 26 20.000 1223.122 +INF 0.003 27 20.000 1364.183 +INF . 28 20.000 1519.599 +INF . 29 20.000 1690.619 +INF . 30 20.000 1878.594 +INF . 31 20.000 2084.985 +INF . 32 20.000 2311.359 +INF -2.067E-4 33 20.000 2559.396 +INF -2.893E-4 34 20.000 2830.890 +INF -3.042E-4 35 20.000 3127.760 +INF 0.002 36 20.000 3452.047 +INF 0.002 37 20.000 3805.927 +INF 0.001 38 20.000 4191.714 +INF 8.7897E-4 39 20.000 4611.865 +INF 6.2567E-4 40 20.000 5068.988 +INF 4.4627E-4 41 20.000 5565.849 +INF 3.1894E-4 42 20.000 5964.048 +INF 2.3935E-4 43 20.000 6553.183 +INF 1.7083E-4 44 20.000 7209.357 +INF 1.2162E-4 45 20.000 7333.268 +INF 1.0128E-4 46 20.000 6997.964 +INF 9.5837E-5 47 20.000 7378.409 +INF 7.4283E-5 48 20.000 7794.732 +INF 5.7353E-5 49 20.000 7986.788 +INF 4.7071E-5 50 20.000 6838.197 +INF 5.5329E-5 51 20.000 10312.891 +INF 2.0961E-5 52 20.000 12809.078 +INF 1.1708E-5 53 20.000 12728.573 +INF 1.0216E-5 54 20.000 5366.012 +INF 4.9532E-5 55 20.000 8669.163 +INF 1.6352E-5 56 20.000 9524.176 +INF 1.1674E-5 57 20.000 9693.198 +INF 9.7113E-6 58 20.000 9269.498 +INF 9.1504E-6 59 20.000 9940.323 +INF 6.8563E-6 60 20.000 9588.683 +INF 6.3491E-6 ---- VAR K Capital stock trillions US dollars LOWER LEVEL UPPER MARGINAL 1 100.000 137.000 +INF . 2 100.000 170.053 +INF . 3 100.000 212.167 +INF . 4 100.000 261.043 +INF . 5 100.000 315.604 +INF . 6 100.000 375.572 +INF . 7 100.000 441.194 +INF . 8 100.000 513.056 +INF . 9 100.000 591.961 +INF . 10 100.000 678.860 +INF . 11 100.000 774.818 +INF . 12 100.000 880.990 +INF . 13 100.000 998.715 +INF . 14 100.000 1129.399 +INF . 15 100.000 1274.548 +INF . 16 100.000 1435.786 +INF . 17 100.000 1614.882 +INF . 18 100.000 1813.777 +INF . 19 100.000 2034.623 +INF . 20 100.000 2279.833 +INF . 21 100.000 2552.165 +INF . 22 100.000 2856.043 +INF . 23 100.000 3199.350 +INF . 24 100.000 3584.037 +INF . 25 100.000 4012.661 +INF . 26 100.000 4488.362 +INF . 27 100.000 5014.828 +INF . 28 100.000 5596.261 +INF . 29 100.000 6237.348 +INF . 30 100.000 6943.243 +INF . 31 100.000 7719.561 +INF . 32 100.000 8572.375 +INF . 33 100.000 9508.223 +INF . 34 100.000 10534.124 +INF . 35 100.000 11657.587 +INF . 36 100.000 12886.638 +INF . 37 100.000 14229.838 +INF . 38 100.000 15696.307 +INF . 39 100.000 17295.750 +INF . 40 100.000 19038.483 +INF . 41 100.000 20935.458 +INF . 42 100.000 21271.178 +INF . 43 100.000 23551.600 +INF . 44 100.000 26241.976 +INF . 45 100.000 22566.165 +INF . 46 100.000 15719.622 +INF . 47 100.000 15302.139 +INF . 48 100.000 15025.070 +INF . 49 100.000 13352.705 +INF . 50 100.000 6534.746 +INF . 51 100.000 21155.206 +INF . 52 100.000 35927.884 +INF . 53 100.000 29066.093 +INF . 54 100.000 1351.761 +INF . 55 100.000 5547.719 +INF . 56 100.000 6308.435 +INF . 57 100.000 5570.123 +INF . 58 100.000 4003.955 +INF . 59 100.000 4228.674 +INF . 60 100.000 3066.958 +INF . ---- VAR CPC Per capita consumption thousands US dollars LOWER LEVEL UPPER MARGINAL 1 -INF 6.656 +INF . 2 -INF 7.602 +INF . 3 -INF 8.768 +INF . 4 -INF 10.117 +INF . 5 -INF 11.643 +INF . 6 -INF 13.353 +INF . 7 -INF 15.263 +INF . 8 -INF 17.393 +INF . 9 -INF 19.769 +INF . 10 -INF 22.417 +INF . 11 -INF 25.368 +INF . 12 -INF 28.657 +INF . 13 -INF 32.322 +INF . 14 -INF 36.403 +INF . 15 -INF 40.945 +INF . 16 -INF 45.995 +INF . 17 -INF 51.608 +INF . 18 -INF 57.844 +INF . 19 -INF 64.771 +INF . 20 -INF 72.467 +INF . 21 -INF 81.075 +INF . 22 -INF 90.856 +INF . 23 -INF 101.778 +INF . 24 -INF 113.916 +INF . 25 -INF 127.364 +INF . 26 -INF 142.229 +INF . 27 -INF 158.630 +INF . 28 -INF 176.701 +INF . 29 -INF 196.586 +INF . 30 -INF 218.443 +INF . 31 -INF 242.442 +INF . 32 -INF 268.764 +INF . 33 -INF 297.605 +INF . 34 -INF 329.174 +INF . 35 -INF 363.694 +INF . 36 -INF 401.401 +INF . 37 -INF 442.550 +INF . 38 -INF 487.409 +INF . 39 -INF 536.264 +INF . 40 -INF 589.417 +INF . 41 -INF 647.192 +INF . 42 -INF 693.494 +INF . 43 -INF 761.998 +INF . 44 -INF 838.297 +INF . 45 -INF 852.706 +INF . 46 -INF 813.717 +INF . 47 -INF 857.955 +INF . 48 -INF 906.364 +INF . 49 -INF 928.696 +INF . 50 -INF 795.139 +INF . 51 -INF 1199.173 +INF . 52 -INF 1489.428 +INF . 53 -INF 1480.067 +INF . 54 -INF 623.955 +INF . 55 -INF 1008.042 +INF . 56 -INF 1107.462 +INF . 57 -INF 1127.116 +INF . 58 -INF 1077.849 +INF . 59 -INF 1155.852 +INF . 60 -INF 1114.963 +INF . ---- VAR PCY Per capita income thousands US dollars LOWER LEVEL UPPER MARGINAL 1 -INF 8.533 +INF . 2 -INF 9.746 +INF . 3 -INF 11.241 +INF . 4 -INF 12.971 +INF . 5 -INF 14.927 +INF . 6 -INF 17.119 +INF . 7 -INF 19.567 +INF . 8 -INF 22.299 +INF . 9 -INF 25.345 +INF . 10 -INF 28.740 +INF . 11 -INF 32.523 +INF . 12 -INF 36.740 +INF . 13 -INF 41.439 +INF . 14 -INF 46.671 +INF . 15 -INF 52.493 +INF . 16 -INF 58.968 +INF . 17 -INF 66.164 +INF . 18 -INF 74.159 +INF . 19 -INF 83.039 +INF . 20 -INF 92.906 +INF . 21 -INF 103.942 +INF . 22 -INF 116.483 +INF . 23 -INF 130.484 +INF . 24 -INF 146.046 +INF . 25 -INF 163.288 +INF . 26 -INF 182.345 +INF . 27 -INF 203.372 +INF . 28 -INF 226.540 +INF . 29 -INF 252.034 +INF . 30 -INF 280.055 +INF . 31 -INF 310.823 +INF . 32 -INF 344.569 +INF . 33 -INF 381.545 +INF . 34 -INF 422.018 +INF . 35 -INF 466.274 +INF . 36 -INF 514.617 +INF . 37 -INF 567.372 +INF . 38 -INF 624.883 +INF . 39 -INF 687.517 +INF . 40 -INF 755.663 +INF . 41 -INF 829.733 +INF . 42 -INF 889.095 +INF . 43 -INF 976.921 +INF . 44 -INF 1074.740 +INF . 45 -INF 1093.212 +INF . 46 -INF 1043.227 +INF . 47 -INF 1099.942 +INF . 48 -INF 1162.005 +INF . 49 -INF 1190.636 +INF . 50 -INF 1019.409 +INF . 51 -INF 1537.402 +INF . 52 -INF 1909.523 +INF . 53 -INF 1897.521 +INF . 54 -INF 799.942 +INF . 55 -INF 1292.362 +INF . 56 -INF 1419.824 +INF . 57 -INF 1445.021 +INF . 58 -INF 1381.857 +INF . 59 -INF 1481.861 +INF . 60 -INF 1429.440 +INF . ---- VAR I Investment trillions US dollars LOWER LEVEL UPPER MARGINAL 1 . 12.228 +INF . 2 . 15.287 +INF . 3 . 18.707 +INF . 4 . 22.458 +INF . 5 . 26.553 +INF . 6 . 31.024 +INF . 7 . 35.922 +INF . 8 . 41.307 +INF . 9 . 47.246 +INF . 10 . 53.811 +INF . 11 . 61.083 +INF . 12 . 69.153 +INF . 13 . 78.117 +INF . 14 . 88.075 +INF . 15 . 99.138 +INF . 16 . 111.425 +INF . 17 . 125.070 +INF . 18 . 140.220 +INF . 19 . 157.040 +INF . 20 . 175.724 +INF . 21 . 196.616 +INF . 22 . 220.351 +INF . 23 . 246.849 +INF . 24 . 276.298 +INF . 25 . 308.923 +INF . 26 . 344.983 +INF . 27 . 384.770 +INF . 28 . 428.605 +INF . 29 . 476.841 +INF . 30 . 529.860 +INF . 31 . 588.073 +INF . 32 . 651.922 +INF . 33 . 721.881 +INF . 34 . 798.457 +INF . 35 . 882.189 +INF . 36 . 973.655 +INF . 37 . 1073.467 +INF . 38 . 1182.279 +INF . 39 . 1300.783 +INF . 40 . 1429.715 +INF . 41 . 1569.855 +INF . 42 . 1682.168 +INF . 43 . 1848.334 +INF . 44 . 2033.409 +INF . 45 . 2068.358 +INF . 46 . 1973.785 +INF . 47 . 2081.090 +INF . 48 . 2198.515 +INF . 49 . 2252.684 +INF . 50 . 1928.723 +INF . 51 . 2908.765 +INF . 52 . 3612.817 +INF . 53 . 3590.110 +INF . 54 . 1513.491 +INF . 55 . 2445.149 +INF . 56 . 2686.306 +INF . 57 . 2733.979 +INF . 58 . 2614.474 +INF . 59 . 2803.681 +INF . 60 . 2704.501 +INF . ---- VAR S Gross savings rate as fraction of gross world product LOWER LEVEL UPPER MARGINAL 1 0.220 0.220 0.220 1936.030 2 0.220 0.220 0.220 -861.919 3 0.220 0.220 0.220 -1783.438 4 0.220 0.220 0.220 -1899.056 5 0.220 0.220 0.220 -1704.736 6 0.220 0.220 0.220 -1419.984 7 0.220 0.220 0.220 -1136.676 8 0.220 0.220 0.220 -888.848 9 0.220 0.220 0.220 -684.994 10 0.220 0.220 0.220 -523.047 11 0.220 0.220 0.220 -397.280 12 0.220 0.220 0.220 -300.021 13 0.220 0.220 0.220 -225.504 14 0.220 0.220 0.220 -168.772 15 0.220 0.220 0.220 -125.781 16 0.220 0.220 0.220 -93.335 17 0.220 0.220 0.220 -68.983 18 0.220 0.220 0.220 -50.907 19 0.220 0.220 0.220 -37.821 20 0.220 0.220 0.220 -28.955 21 0.220 0.220 0.220 -22.997 22 0.220 0.220 0.220 -17.608 23 0.220 0.220 0.220 -13.808 24 0.220 0.220 0.220 -11.535 25 0.220 0.220 0.220 -10.968 26 0.220 0.220 0.220 EPS 27 0.220 0.220 0.220 -3.891 28 0.220 0.220 0.220 -2.805 29 0.220 0.220 0.220 -1.894 30 0.220 0.220 0.220 -1.020 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 . 2 -INF 0.057 +INF . 3 -INF 0.055 +INF . 4 -INF 0.052 +INF . 5 -INF 0.050 +INF . 6 -INF 0.048 +INF . 7 -INF 0.046 +INF . 8 -INF 0.045 +INF . 9 -INF 0.044 +INF . 10 -INF 0.043 +INF . 11 -INF 0.042 +INF . 12 -INF 0.042 +INF . 13 -INF 0.042 +INF . 14 -INF 0.041 +INF . 15 -INF 0.041 +INF . 16 -INF 0.041 +INF . 17 -INF 0.040 +INF . 18 -INF 0.040 +INF . 19 -INF 0.040 +INF . 20 -INF 0.040 +INF . 21 -INF 0.040 +INF . 22 -INF 0.040 +INF . 23 -INF 0.040 +INF . 24 -INF 0.040 +INF . 25 -INF 0.040 +INF . 26 -INF 0.040 +INF . 27 -INF 0.039 +INF . 28 -INF 0.039 +INF . 29 -INF 0.039 +INF . 30 -INF 0.039 +INF . 31 -INF 0.039 +INF . 32 -INF 0.039 +INF . 33 -INF 0.038 +INF . 34 -INF 0.038 +INF . 35 -INF 0.038 +INF . 36 -INF 0.038 +INF . 37 -INF 0.038 +INF . 38 -INF 0.038 +INF . 39 -INF 0.037 +INF . 40 -INF 0.037 +INF . 41 -INF 0.037 +INF . 42 -INF 0.043 +INF . 43 -INF 0.042 +INF . 44 -INF 0.041 +INF . 45 -INF 0.060 +INF . 46 -INF 0.106 +INF . 47 -INF 0.120 +INF . 48 -INF 0.134 +INF . 49 -INF 0.165 +INF . 50 -INF 0.337 +INF . 51 -INF 0.122 +INF . 52 -INF 0.072 +INF . 53 -INF 0.103 +INF . 54 -INF 1.462 +INF . 55 -INF 0.536 +INF . 56 -INF 0.516 +INF . 57 -INF 0.604 +INF . 58 -INF 0.825 +INF . 59 -INF 0.839 +INF . 60 -INF 1.137 +INF . ---- VAR Y Gross world product net of abatement and damages LOWER LEVEL UPPER MARGINAL 1 . 55.583 +INF . 2 . 69.487 +INF . 3 . 85.029 +INF . 4 . 102.082 +INF . 5 . 120.693 +INF . 6 . 141.017 +INF . 7 . 163.281 +INF . 8 . 187.758 +INF . 9 . 214.752 +INF . 10 . 244.596 +INF . 11 . 277.648 +INF . 12 . 314.332 +INF . 13 . 355.076 +INF . 14 . 400.341 +INF . 15 . 450.626 +INF . 16 . 506.478 +INF . 17 . 568.500 +INF . 18 . 637.362 +INF . 19 . 713.819 +INF . 20 . 798.743 +INF . 21 . 893.707 +INF . 22 . 1001.594 +INF . 23 . 1122.041 +INF . 24 . 1255.901 +INF . 25 . 1404.196 +INF . 26 . 1568.105 +INF . 27 . 1748.953 +INF . 28 . 1948.205 +INF . 29 . 2167.460 +INF . 30 . 2408.454 +INF . 31 . 2673.058 +INF . 32 . 2963.281 +INF . 33 . 3281.277 +INF . 34 . 3629.347 +INF . 35 . 4009.948 +INF -2.497E-9 36 . 4425.701 +INF -8.69E-10 37 . 4879.394 +INF -2.99E-10 38 . 5373.993 +INF -9.31E-11 39 . 5912.648 +INF EPS 40 . 6498.703 +INF EPS 41 . 7135.704 +INF EPS 42 . 7646.216 +INF EPS 43 . 8401.517 +INF EPS 44 . 9242.765 +INF EPS 45 . 9401.626 +INF EPS 46 . 8971.749 +INF EPS 47 . 9459.499 +INF EPS 48 . 9993.247 +INF EPS 49 . 10239.473 +INF EPS 50 . 8766.920 +INF EPS 51 . 13221.656 +INF EPS 52 . 16421.895 +INF EPS 53 . 16318.683 +INF EPS 54 . 6879.503 +INF EPS 55 . 11114.311 +INF EPS 56 . 12210.482 +INF EPS 57 . 12427.177 +INF EPS 58 . 11883.972 +INF EPS 59 . 12744.004 +INF EPS 60 . 12293.184 +INF EPS ---- VAR YGROSS Gross world product GROSS of abatement and damages LOWER LEVEL UPPER MARGINAL 1 . 55.667 +INF . 2 . 69.685 +INF . 3 . 85.391 +INF . 4 . 102.688 +INF . 5 . 121.641 +INF . 6 . 142.428 +INF . 7 . 165.301 +INF . 8 . 190.559 +INF . 9 . 218.540 +INF . 10 . 249.611 +INF . 11 . 284.167 +INF . 12 . 322.636 +INF . 13 . 365.489 +INF . 14 . 413.229 +INF . 15 . 466.398 +INF . 16 . 525.584 +INF . 17 . 591.424 +INF . 18 . 664.613 +INF . 19 . 745.907 +INF . 20 . 836.134 +INF . 21 . 936.206 +INF . 22 . 1047.269 +INF . 23 . 1170.899 +INF . 24 . 1308.075 +INF . 25 . 1459.900 +INF . 26 . 1627.608 +INF . 27 . 1812.558 +INF . 28 . 2016.237 +INF . 29 . 2240.262 +INF . 30 . 2486.379 +INF . 31 . 2756.469 +INF . 32 . 3052.549 +INF . 33 . 3376.782 +INF . 34 . 3731.479 +INF . 35 . 4119.106 +INF -0.004 36 . 4542.293 +INF EPS 37 . 5003.839 +INF EPS 38 . 5506.723 +INF EPS 39 . 6054.108 +INF EPS 40 . 6649.350 +INF EPS 41 . 7296.009 +INF EPS 42 . 7812.720 +INF EPS 43 . 8578.891 +INF EPS 44 . 9431.990 +INF EPS 45 . 9588.332 +INF EPS 46 . 9144.602 +INF EPS 47 . 9636.340 +INF EPS 48 . 10174.581 +INF EPS 49 . 10419.841 +INF EPS 50 . 8916.904 +INF EPS 51 . 13442.037 +INF EPS 52 . 16688.057 +INF EPS 53 . 16575.757 +INF EPS 54 . 6984.830 +INF EPS 55 . 11279.728 +INF EPS 56 . 12387.166 +INF EPS 57 . 12602.054 +INF EPS 58 . 12046.834 +INF EPS 59 . 12917.904 +INF EPS 60 . 12368.320 +INF EPS ---- VAR YNET Output net of damages equation LOWER LEVEL UPPER MARGINAL 1 -INF 55.583 +INF . 2 -INF 69.507 +INF . 3 -INF 85.063 +INF . 4 -INF 102.139 +INF . 5 -INF 120.781 +INF . 6 -INF 141.149 +INF . 7 -INF 163.474 +INF . 8 -INF 188.034 +INF . 9 -INF 215.139 +INF . 10 -INF 245.132 +INF . 11 -INF 278.380 +INF . 12 -INF 315.323 +INF . 13 -INF 356.409 +INF . 14 -INF 402.124 +INF . 15 -INF 453.003 +INF . 16 -INF 509.637 +INF . 17 -INF 572.690 +INF . 18 -INF 642.911 +INF . 19 -INF 721.160 +INF . 20 -INF 808.431 +INF . 21 -INF 905.832 +INF . 22 -INF 1014.494 +INF . 23 -INF 1135.782 +INF . 24 -INF 1270.549 +INF . 25 -INF 1419.818 +INF . 26 -INF 1584.770 +INF . 27 -INF 1766.735 +INF . 28 -INF 1967.181 +INF . 29 -INF 2187.714 +INF . 30 -INF 2430.074 +INF . 31 -INF 2696.137 +INF . 32 -INF 2987.921 +INF . 33 -INF 3307.584 +INF . 34 -INF 3657.436 +INF . 35 -INF 4039.942 +INF . 36 -INF 4457.730 +INF . 37 -INF 4913.595 +INF . 38 -INF 5410.513 +INF . 39 -INF 5951.644 +INF . 40 -INF 6540.342 +INF . 41 -INF 7180.160 +INF . 42 -INF 7692.579 +INF . 43 -INF 8451.141 +INF . 44 -INF 9295.982 +INF . 45 -INF 9454.450 +INF . 46 -INF 9020.976 +INF . 47 -INF 9510.214 +INF . 48 -INF 10045.655 +INF . 49 -INF 10292.019 +INF . 50 -INF 8810.815 +INF . 51 -INF 13286.790 +INF . 52 -INF 16501.241 +INF . 53 -INF 16396.058 +INF . 54 -INF 6911.526 +INF . 55 -INF 11165.152 +INF . 56 -INF 12265.389 +INF . 57 -INF 12482.145 +INF . 58 -INF 11935.289 +INF . 59 -INF 12794.130 +INF . 60 -INF 12327.780 +INF . ---- VAR DAMAGES Damages LOWER LEVEL UPPER MARGINAL 1 -INF 0.084 +INF . 2 -INF 0.178 +INF . 3 -INF 0.328 +INF . 4 -INF 0.549 +INF . 5 -INF 0.860 +INF . 6 -INF 1.279 +INF . 7 -INF 1.827 +INF . 8 -INF 2.526 +INF . 9 -INF 3.401 +INF . 10 -INF 4.479 +INF . 11 -INF 5.787 +INF . 12 -INF 7.313 +INF . 13 -INF 9.080 +INF . 14 -INF 11.104 +INF . 15 -INF 13.394 +INF . 16 -INF 15.946 +INF . 17 -INF 18.735 +INF . 18 -INF 21.702 +INF . 19 -INF 24.747 +INF . 20 -INF 27.702 +INF . 21 -INF 30.373 +INF . 22 -INF 32.774 +INF . 23 -INF 35.116 +INF . 24 -INF 37.525 +INF . 25 -INF 40.082 +INF . 26 -INF 42.838 +INF . 27 -INF 45.823 +INF . 28 -INF 49.056 +INF . 29 -INF 52.548 +INF . 30 -INF 56.305 +INF . 31 -INF 60.331 +INF . 32 -INF 64.628 +INF . 33 -INF 69.198 +INF . 34 -INF 74.042 +INF . 35 -INF 79.163 +INF . 36 -INF 84.563 +INF . 37 -INF 90.244 +INF . 38 -INF 96.210 +INF . 39 -INF 102.464 +INF . 40 -INF 109.009 +INF . 41 -INF 115.849 +INF . 42 -INF 120.141 +INF . 43 -INF 127.750 +INF . 44 -INF 136.008 +INF . 45 -INF 133.882 +INF . 46 -INF 123.625 +INF . 47 -INF 126.126 +INF . 48 -INF 128.926 +INF . 49 -INF 127.822 +INF . 50 -INF 106.089 +INF . 51 -INF 155.247 +INF . 52 -INF 186.816 +INF . 53 -INF 179.699 +INF . 54 -INF 73.303 +INF . 55 -INF 114.576 +INF . 56 -INF 121.778 +INF . 57 -INF 119.909 +INF . 58 -INF 111.545 +INF . 59 -INF 123.774 +INF . 60 -INF 40.540 +INF . ---- VAR ABATECOST Cost of emissions reductions LOWER LEVEL UPPER MARGINAL 1 -INF 1.3292E-5 +INF . 2 -INF 0.020 +INF . 3 -INF 0.035 +INF . 4 -INF 0.057 +INF . 5 -INF 0.088 +INF . 6 -INF 0.133 +INF . 7 -INF 0.195 +INF . 8 -INF 0.279 +INF . 9 -INF 0.393 +INF . 10 -INF 0.545 +INF . 11 -INF 0.747 +INF . 12 -INF 1.014 +INF . 13 -INF 1.367 +INF . 14 -INF 1.833 +INF . 15 -INF 2.448 +INF . 16 -INF 3.258 +INF . 17 -INF 4.327 +INF . 18 -INF 5.737 +INF . 19 -INF 7.593 +INF . 20 -INF 10.021 +INF . 21 -INF 12.532 +INF . 22 -INF 13.317 +INF . 23 -INF 14.166 +INF . 24 -INF 15.081 +INF . 25 -INF 16.063 +INF . 26 -INF 17.116 +INF . 27 -INF 18.243 +INF . 28 -INF 19.450 +INF . 29 -INF 20.740 +INF . 30 -INF 22.120 +INF . 31 -INF 23.595 +INF . 32 -INF 25.172 +INF . 33 -INF 26.858 +INF . 34 -INF 28.658 +INF . 35 -INF 30.582 +INF . 36 -INF 32.636 +INF . 37 -INF 34.829 +INF . 38 -INF 37.170 +INF . 39 -INF 39.668 +INF . 40 -INF 42.332 +INF . 41 -INF 45.174 +INF . 42 -INF 47.087 +INF . 43 -INF 50.374 +INF . 44 -INF 53.995 +INF . 45 -INF 53.572 +INF . 46 -INF 49.902 +INF . 47 -INF 51.388 +INF . 48 -INF 53.081 +INF . 49 -INF 53.199 +INF . 50 -INF 44.424 +INF . 51 -INF 65.895 +INF . 52 -INF 80.245 +INF . 53 -INF 78.223 +INF . 54 -INF 32.363 +INF . 55 -INF 51.363 +INF . 56 -INF 55.451 +INF . 57 -INF 55.496 +INF . 58 -INF 51.797 +INF . 59 -INF 50.611 +INF . 60 -INF 34.710 +INF . ---- VAR CCA Cumulative industrial carbon emissions GTC LOWER LEVEL UPPER MARGINAL 1 . . 6000.000 . 2 . 85.320 6000.000 . 3 . 168.709 6000.000 EPS 4 . 259.321 6000.000 . 5 . 356.343 6000.000 . 6 . 458.921 6000.000 . 7 . 566.235 6000.000 . 8 . 677.495 6000.000 . 9 . 791.919 6000.000 . 10 . 908.696 6000.000 . 11 . 1026.937 6000.000 . 12 . 1145.641 6000.000 EPS 13 . 1263.620 6000.000 . 14 . 1379.435 6000.000 . 15 . 1491.338 6000.000 EPS 16 . 1597.196 6000.000 . 17 . 1694.427 6000.000 EPS 18 . 1779.896 6000.000 . 19 . 1849.797 6000.000 EPS 20 . 1899.639 6000.000 . 21 . 1924.236 6000.000 . 22 . 1925.573 6000.000 . 23 . 1926.777 6000.000 . 24 . 1927.860 6000.000 EPS 25 . 1928.835 6000.000 . 26 . 1929.712 6000.000 EPS 27 . 1930.502 6000.000 . 28 . 1931.213 6000.000 . 29 . 1931.853 6000.000 EPS 30 . 1932.428 6000.000 . 31 . 1932.946 6000.000 EPS 32 . 1933.413 6000.000 . 33 . 1933.832 6000.000 EPS 34 . 1934.210 6000.000 . 35 . 1934.550 6000.000 . 36 . 1934.856 6000.000 . 37 . 1935.131 6000.000 . 38 . 1935.379 6000.000 EPS 39 . 1935.602 6000.000 . 40 . 1935.803 6000.000 . 41 . 1935.983 6000.000 EPS 42 . 1936.146 6000.000 . 43 . 1936.292 6000.000 . 44 . 1936.424 6000.000 . 45 . 1936.672 6000.000 . 46 . 1936.815 6000.000 . 47 . 1936.912 6000.000 EPS 48 . 1937.140 6000.000 . 49 . 1937.218 6000.000 . 50 . 1937.454 6000.000 . 51 . 1940.310 6000.000 . 52 . 1940.466 6000.000 . 53 . 1940.517 6000.000 . 54 . 1940.563 6000.000 . 55 . 1940.701 6000.000 EPS 56 . 1940.738 6000.000 . 57 . 1940.825 6000.000 . 58 . 1940.855 6000.000 EPS 59 . 1947.635 6000.000 EPS 60 . 2022.954 6000.000 . ---- VAR PERIODU One period utility function LOWER LEVEL UPPER MARGINAL 1 -INF -149.250 +INF . 2 -INF -130.552 +INF . 3 -INF -113.051 +INF . 4 -INF -97.840 +INF . 5 -INF -84.889 +INF . 6 -INF -73.891 +INF . 7 -INF -64.520 +INF . 8 -INF -56.494 +INF . 9 -INF -49.584 +INF . 10 -INF -43.608 +INF . 11 -INF -38.420 +INF . 12 -INF -33.895 +INF . 13 -INF -29.939 +INF . 14 -INF -26.470 +INF . 15 -INF -23.423 +INF . 16 -INF -20.742 +INF . 17 -INF -18.377 +INF . 18 -INF -16.288 +INF . 19 -INF -14.439 +INF . 20 -INF -12.799 +INF . 21 -INF -11.334 +INF . 22 -INF -10.006 +INF . 23 -INF -8.825 +INF . 24 -INF -7.778 +INF . 25 -INF -6.851 +INF . 26 -INF -6.031 +INF . 27 -INF -5.304 +INF . 28 -INF -4.659 +INF . 29 -INF -4.087 +INF . 30 -INF -3.578 +INF . 31 -INF -3.125 +INF . 32 -INF -2.721 +INF . 33 -INF -2.360 +INF . 34 -INF -2.038 +INF . 35 -INF -1.750 +INF . 36 -INF -1.491 +INF . 37 -INF -1.260 +INF . 38 -INF -1.052 +INF . 39 -INF -0.865 +INF . 40 -INF -0.697 +INF . 41 -INF -0.545 +INF . 42 -INF -0.442 +INF . 43 -INF -0.312 +INF . 44 -INF -0.193 +INF . 45 -INF -0.173 +INF . 46 -INF -0.229 +INF . 47 -INF -0.166 +INF . 48 -INF -0.103 +INF . 49 -INF -0.077 +INF . 50 -INF -0.258 +INF . 51 -INF 0.166 +INF . 52 -INF 0.329 +INF . 53 -INF 0.324 +INF . 54 -INF -0.603 +INF . 55 -INF 0.008 +INF . 56 -INF 0.097 +INF . 57 -INF 0.113 +INF . 58 -INF 0.072 +INF . 59 -INF 0.135 +INF . 60 -INF 0.103 +INF . 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 00:00:31 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 00:00:31 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 SNOPT FROM LINE 309 **** SOLVER STATUS 1 Normal Completion **** MODEL STATUS 2 Locally Optimal **** OBJECTIVE VALUE 150163.1754 RESOURCE USAGE, LIMIT 0.024 99999.000 ITERATION COUNT, LIMIT 123 99900 EVALUATION ERRORS 0 0 SNOPT 7.2-4 Jul 14, 2011 23.7.1 LEX 26789.26792 LEG x86_64/Linux GAMS/SNOPT, Large Scale Nonlinear SQP Solver S N O P T 7.2-4 (June 2006) P. E. Gill, UC San Diego W. Murray and M. A. Saunders, Stanford University Work space allocated -- 3.25 Mb EXIT - Optimal Solution found, objective: 150163.2 ---- EQU CCTFIRST First period cumulative carbon LOWER LEVEL UPPER MARGINAL 1 . . . EPS ---- EQU CCACCA Cumulative carbon emissions LOWER LEVEL UPPER MARGINAL 2 . . . . 3 . . . EPS 4 . . . EPS 5 . . . EPS 6 . . . EPS 7 . . . EPS 8 . . . EPS 9 . . . EPS 10 . . . EPS 11 . . . . 12 . . . EPS 13 . . . EPS 14 . . . . 15 . . . EPS 16 . . . . 17 . . . EPS 18 . . . . 19 . . . EPS 20 . . . EPS 21 . . . EPS 22 . . . EPS 23 . . . . 24 . . . EPS 25 . . . . 26 . . . EPS 27 . . . EPS 28 . . . . 29 . . . EPS 30 . . . . 31 . . . EPS 32 . . . . 33 . . . EPS 34 . . . EPS 35 . . . EPS 36 . . . EPS 37 . . . . 38 . . . EPS 39 . . . EPS 40 . . . . 41 . . . EPS 42 . . . EPS 43 . . . EPS 44 . . . EPS 45 . . . EPS 46 . . . . 47 . . . EPS 48 . . . EPS 49 . . . EPS 50 . . . EPS 51 . . . EPS 52 . . . EPS 53 . . . EPS 54 . . . . 55 . . . EPS 56 . . . EPS 57 . . . . 58 . . . EPS 59 . . . . 60 . . . EPS 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 . . . 0.185 24 . . . 0.127 25 . . . 0.087 26 . . . 0.058 27 . . . 0.042 28 . . . 0.029 29 . . . 0.020 30 . . . 0.014 31 . . . 0.010 32 . . . 0.007 33 . . . 0.005 34 . . . 0.004 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 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 . . . 0.122 25 . . . 0.084 26 . . . 0.056 27 . . . 0.041 28 . . . 0.028 29 . . . 0.020 30 . . . 0.014 31 . . . 0.010 32 . . . 0.007 33 . . . 0.005 34 . . . 0.004 35 . . . 0.004 36 . 1.3485E-8 . . 37 . . . . 38 . . . . 39 . . . . 40 . . . EPS 41 . . . . 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 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 . . . 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 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 . . . 0.058 27 . . . 0.043 28 . . . 0.030 29 . . . 0.021 30 . . . 0.014 31 . . . 0.010 32 . . . 0.007 33 . . . 0.005 34 . . . 0.004 35 . . . -3.799E-9 36 . . . -1.323E-9 37 . . . -4.55E-10 38 . . . -1.42E-10 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 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 . . 0.001 32 -INF . . 7.2698E-4 33 -INF . . 5.2529E-4 34 -INF . . 3.8002E-4 35 -INF . . -3.80E-10 36 -INF . . -1.32E-10 37 -INF . . -4.55E-11 38 -INF . . -1.42E-11 39 -INF . . . 40 -INF . . EPS 41 -INF -1727.116 . . 42 -INF -686.878 . . 43 -INF -453.299 . . 44 -INF -6917.932 . . 45 -INF -1.283E+4 . . 46 -INF -9916.803 . . 47 -INF -1.112E+4 . . 48 -INF -1.387E+4 . . 49 -INF -2.065E+4 . . 50 -INF -410.545 . . 51 -INF -536.125 . . 52 -INF -1.959E+4 . . 53 -INF -4.468E+4 . . 54 -INF -1.006E+4 . . 55 -INF -2.008E+4 . . 56 -INF -2.349E+4 . . 57 -INF -2.528E+4 . . 58 -INF -2.331E+4 . . 59 -INF -2.644E+4 . . 60 -INF -2.811E+4 . . ---- 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 -2643.161 . . ---- 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 -3.162 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 -0.030 22 1.204 1.204 1.204 -0.021 23 1.083 1.083 1.083 -0.014 24 0.975 0.975 0.975 -0.010 25 0.877 0.877 0.877 -0.006 26 0.790 0.790 0.790 -0.004 27 0.711 0.711 0.711 -0.003 28 0.640 0.640 0.640 -0.002 29 0.576 0.576 0.576 -0.001 30 0.518 0.518 0.518 -0.001 31 0.466 0.466 0.466 -7.050E-4 32 0.420 0.420 0.420 -5.046E-4 33 0.378 0.378 0.378 -3.618E-4 34 0.340 0.340 0.340 -2.597E-4 35 0.306 0.306 0.306 EPS 36 0.275 0.275 0.275 EPS 37 0.248 0.248 0.248 EPS 38 0.223 0.223 0.223 EPS 39 0.201 0.201 0.201 EPS 40 0.181 0.181 0.181 EPS 41 0.163 0.163 0.163 EPS 42 0.146 0.146 0.146 EPS 43 0.132 0.132 0.132 EPS 44 0.119 0.119 0.119 EPS 45 0.107 0.107 0.107 EPS 46 0.096 0.096 0.096 EPS 47 0.086 0.086 0.086 EPS 48 0.078 0.078 0.078 EPS 49 0.070 0.070 0.070 EPS 50 0.063 0.063 0.063 EPS 51 0.057 0.057 0.057 EPS 52 0.051 0.051 0.051 EPS 53 0.046 0.046 0.046 EPS 54 0.041 0.041 0.041 EPS 55 0.037 0.037 0.037 EPS 56 0.033 0.033 0.033 EPS 57 0.030 0.030 0.030 EPS 58 0.027 0.027 0.027 EPS 59 0.024 0.024 0.024 EPS 60 0.022 0.022 0.022 EPS ---- EQU SEQ Savings rate equation LOWER LEVEL UPPER MARGINAL 1 . . . -1936.030 2 . . . 861.919 3 . . . 1783.439 4 . . . 1899.056 5 . . . 1704.736 6 . . . 1419.984 7 . . . 1136.677 8 . . . 888.849 9 . . . 684.997 10 . . . 523.051 11 . . . 397.288 12 . . . 300.031 13 . . . 225.515 14 . . . 168.788 15 . . . 125.793 16 . . . 93.344 17 . . . 68.989 18 . . . 50.911 19 . . . 37.824 20 . . . 28.958 21 . . . 23.000 22 . . . 17.609 23 . . . 13.809 24 . . . 11.536 25 . . . 10.970 26 . . . . 27 . . . 3.893 28 . . . 2.807 29 . . . 1.896 30 . . . 1.020 31 . . . . 32 . . . . 33 . . . . 34 . . . . 35 . . . . 36 . . . . 37 . . . . 38 . . . . 39 . . . . 40 . . . . 41 . . . . 42 . . . . 43 . . . . 44 . . . . 45 . . . . 46 . . . . 47 . . . . 48 . . . . 49 . . . . 50 . . . . 51 . . . . 52 . . . . 53 . . . . 54 . . . . 55 . . . . 56 . . . . 57 . . . . 58 . . . . 59 . . . . 60 . . . . ---- 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 -162.037 3 0.012 0.012 0.012 -147.991 4 0.048 0.048 0.048 -130.474 5 0.084 0.084 0.084 -112.269 6 0.120 0.120 0.120 -94.905 7 0.156 0.156 0.156 -79.146 8 0.192 0.192 0.192 -65.297 9 0.228 0.228 0.228 -53.397 10 0.264 0.264 0.264 -43.334 11 0.300 0.300 0.300 -34.922 12 0.300 0.300 0.300 -27.945 13 0.300 0.300 0.300 -22.232 14 0.300 0.300 0.300 -17.597 15 0.300 0.300 0.300 -13.861 16 0.300 0.300 0.300 -10.865 17 0.300 0.300 0.300 -8.471 18 0.300 0.300 0.300 -6.565 19 0.300 0.300 0.300 -5.053 20 0.300 0.300 0.300 -3.859 21 0.300 0.300 0.300 -2.926 22 0.300 0.300 0.300 -2.206 23 0.300 0.300 0.300 -1.661 24 0.300 0.300 0.300 -1.249 25 0.300 0.300 0.300 -0.938 26 0.300 0.300 0.300 -0.705 27 0.300 0.300 0.300 -0.546 28 0.300 0.300 0.300 -0.414 29 0.300 0.300 0.300 -0.314 30 0.300 0.300 0.300 -0.238 31 0.300 0.300 0.300 -0.178 32 0.300 0.300 0.300 -0.130 33 0.300 0.300 0.300 -0.087 34 0.300 0.300 0.300 -0.045 35 0.300 0.300 0.300 . 36 0.300 0.300 0.300 . 37 0.300 0.300 0.300 . 38 0.300 0.300 0.300 . 39 0.300 0.300 0.300 . 40 0.300 0.300 0.300 . 41 0.300 0.300 0.300 . 42 0.300 0.300 0.300 . 43 0.300 0.300 0.300 . 44 0.300 0.300 0.300 . 45 0.300 0.300 0.300 . 46 0.300 0.300 0.300 . 47 0.300 0.300 0.300 . 48 0.300 0.300 0.300 . 49 0.300 0.300 0.300 . 50 0.300 0.300 0.300 . 51 0.300 0.300 0.300 . 52 0.300 0.300 0.300 . 53 0.300 0.300 0.300 . 54 0.300 0.300 0.300 . 55 0.300 0.300 0.300 . 56 0.300 0.300 0.300 . 57 0.300 0.300 0.300 . 58 0.300 0.300 0.300 . 59 0.300 0.300 0.300 . 60 0.300 0.300 0.300 . ---- EQU MMAT0 Starting atmospheric concentration LOWER LEVEL UPPER MARGINAL 1 808.900 808.900 808.900 -2.791 ---- EQU MMAT Atmospheric concentration equation LOWER LEVEL UPPER MARGINAL 2 . . . -3.215 3 . . . -3.162 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 . . . -0.030 23 . . . -0.021 24 . . . -0.014 25 . . . -0.010 26 . . . -0.006 27 . . . -0.004 28 . . . -0.003 29 . . . -0.002 30 . . . -0.001 31 . . . -0.001 32 . . . -7.050E-4 33 . . . -5.046E-4 34 . . . -3.618E-4 35 . . . -2.597E-4 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 MMATAVEQ Average concentrations equation LOWER LEVEL UPPER MARGINAL 1 . . . EPS 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 . . . -8.989E-4 32 . . . -6.652E-4 33 . . . -4.511E-4 34 . . . -2.375E-4 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 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 . . . -0.979 3 . . . -0.787 4 . . . -0.627 5 . . . -0.495 6 . . . -0.389 7 . . . -0.304 8 . . . -0.237 9 . . . -0.185 10 . . . -0.143 11 . . . -0.111 12 . . . -0.086 13 . . . -0.067 14 . . . -0.052 15 . . . -0.040 16 . . . -0.031 17 . . . -0.024 18 . . . -0.018 19 . . . -0.014 20 . . . -0.010 21 . . . -0.007 22 . . . -0.005 23 . . . -0.003 24 . . . -0.002 25 . . . -0.002 26 . . . -0.001 27 . . . -7.166E-4 28 . . . -4.912E-4 29 . . . -3.356E-4 30 . . . -2.275E-4 31 . . . -1.516E-4 32 . . . -9.742E-5 33 . . . -5.670E-5 34 . . . -2.525E-5 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 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 . . . -0.002 9 . . . -0.002 10 . . . -0.001 11 . . . -0.001 12 . . . -8.528E-4 13 . . . -6.467E-4 14 . . . -4.872E-4 15 . . . -3.640E-4 16 . . . -2.690E-4 17 . . . -1.960E-4 18 . . . -1.405E-4 19 . . . -9.866E-5 20 . . . -6.790E-5 21 . . . -4.608E-5 22 . . . -3.128E-5 23 . . . -2.121E-5 24 . . . -1.436E-5 25 . . . -9.702E-6 26 . . . -6.521E-6 27 . . . -4.300E-6 28 . . . -2.777E-6 29 . . . -1.736E-6 30 . . . -1.029E-6 31 . . . -5.583E-7 32 . . . -2.553E-7 33 . . . -7.875E-8 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 TATMEQ Temperature-climate equation for atmosphere LOWER LEVEL UPPER MARGINAL 2 . . . -736.533 3 . . . -672.687 4 . . . -593.065 5 . . . -510.313 6 . . . -431.385 7 . . . -359.753 8 . . . -296.804 9 . . . -242.712 10 . . . -196.972 11 . . . -158.737 12 . . . -127.021 13 . . . -101.054 14 . . . -79.987 15 . . . -63.006 16 . . . -49.386 17 . . . -38.504 18 . . . -29.841 19 . . . -22.968 20 . . . -17.543 21 . . . -13.299 22 . . . -10.029 23 . . . -7.548 24 . . . -5.676 25 . . . -4.265 26 . . . -3.204 27 . . . -2.483 28 . . . -1.884 29 . . . -1.428 30 . . . -1.080 31 . . . -0.808 32 . . . -0.590 33 . . . -0.395 34 . . . -0.205 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 TATM0EQ Initial condition for atmospheric temperature LOWER LEVEL UPPER MARGINAL 1 0.731 0.731 0.731 -763.335 ---- EQU TOCEANEQ Temperature-climate equation for lower oceans LOWER LEVEL UPPER MARGINAL 2 . . . -219.410 3 . . . -184.224 4 . . . -152.717 5 . . . -125.302 6 . . . -101.927 7 . . . -82.298 8 . . . -66.009 9 . . . -52.621 10 . . . -41.707 11 . . . -32.874 12 . . . -25.779 13 . . . -20.115 14 . . . -15.617 15 . . . -12.062 16 . . . -9.266 17 . . . -7.078 18 . . . -5.378 19 . . . -4.065 20 . . . -3.060 21 . . . -2.297 22 . . . -1.721 23 . . . -1.288 24 . . . -0.961 25 . . . -0.715 26 . . . -0.530 27 . . . -0.386 28 . . . -0.275 29 . . . -0.190 30 . . . -0.125 31 . . . -0.076 32 . . . -0.039 33 . . . -0.014 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 TOCEAN0EQ Initial condition for lower ocean temperature LOWER LEVEL UPPER MARGINAL 1 0.007 0.007 0.007 -257.051 ---- 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 0.005 231.404 2 . 0.158 1.000 . 3 . 0.184 1.000 . 4 . 0.211 1.000 . 5 . 0.241 1.000 . 6 . 0.271 1.000 . 7 . 0.303 1.000 . 8 . 0.337 1.000 . 9 . 0.373 1.000 . 10 . 0.410 1.000 . 11 . 0.450 1.000 . 12 . 0.491 1.000 . 13 . 0.536 1.000 . 14 . 0.583 1.000 . 15 . 0.633 1.000 . 16 . 0.687 1.000 . 17 . 0.744 1.000 . 18 . 0.806 1.000 . 19 . 0.873 1.000 . 20 . 0.943 1.000 . 21 . 1.000 1.000 . 22 . 1.000 1.000 . 23 . 1.000 1.000 . 24 . 1.000 1.000 . 25 . 1.000 1.000 . 26 . 1.000 1.000 . 27 . 1.000 1.000 . 28 . 1.000 1.000 . 29 . 1.000 1.000 . 30 . 1.000 1.000 . 31 . 1.000 1.000 . 32 . 1.000 1.000 . 33 . 1.000 1.000 . 34 . 1.000 1.000 . 35 . 1.000 1.000 . 36 . 1.000 1.000 . 37 . 1.000 1.000 . 38 . 1.000 1.000 . 39 . 1.000 1.000 . 40 . 1.000 1.000 . 41 . 1.000 1.000 . 42 . 1.000 1.000 . 43 . 1.000 1.000 . 44 . 1.000 1.000 . 45 . 1.000 1.000 . 46 . 1.000 1.000 . 47 . 1.000 1.000 . 48 . 1.000 1.000 . 49 . 1.000 1.000 . 50 . 0.999 1.000 . 51 . 1.000 1.000 . 52 . 1.000 1.000 . 53 . 1.000 1.000 . 54 . 1.000 1.000 . 55 . 1.000 1.000 . 56 . 1.000 1.000 . 57 . 1.000 1.000 . 58 . 0.997 1.000 . 59 . 0.970 1.000 . 60 . 0.866 1.000 . ---- VAR FORC Radiative forcing in watts per m2 LOWER LEVEL UPPER MARGINAL 1 -INF 1.791 +INF . 2 -INF 2.142 +INF . 3 -INF 2.453 +INF . 4 -INF 2.758 +INF . 5 -INF 3.056 +INF . 6 -INF 3.342 +INF . 7 -INF 3.615 +INF . 8 -INF 3.873 +INF . 9 -INF 4.118 +INF . 10 -INF 4.347 +INF . 11 -INF 4.560 +INF . 12 -INF 4.720 +INF . 13 -INF 4.861 +INF . 14 -INF 4.980 +INF . 15 -INF 5.075 +INF . 16 -INF 5.142 +INF . 17 -INF 5.174 +INF . 18 -INF 5.164 +INF . 19 -INF 5.102 +INF . 20 -INF 4.976 +INF . 21 -INF 4.784 +INF . 22 -INF 4.580 +INF . 23 -INF 4.410 +INF . 24 -INF 4.265 +INF . 25 -INF 4.139 +INF . 26 -INF 4.026 +INF . 27 -INF 3.924 +INF . 28 -INF 3.830 +INF . 29 -INF 3.742 +INF . 30 -INF 3.658 +INF . 31 -INF 3.578 +INF . 32 -INF 3.501 +INF . 33 -INF 3.426 +INF . 34 -INF 3.354 +INF . 35 -INF 3.284 +INF . 36 -INF 3.215 +INF . 37 -INF 3.149 +INF . 38 -INF 3.084 +INF . 39 -INF 3.020 +INF . 40 -INF 2.958 +INF . 41 -INF 2.898 +INF . 42 -INF 2.839 +INF . 43 -INF 2.781 +INF . 44 -INF 2.726 +INF . 45 -INF 2.671 +INF . 46 -INF 2.617 +INF . 47 -INF 2.566 +INF . 48 -INF 2.515 +INF . 49 -INF 2.465 +INF . 50 -INF 2.426 +INF . 51 -INF 2.386 +INF . 52 -INF 2.337 +INF . 53 -INF 2.290 +INF . 54 -INF 2.245 +INF . 55 -INF 2.202 +INF . 56 -INF 2.159 +INF . 57 -INF 2.119 +INF . 58 -INF 2.101 +INF . 59 -INF 2.325 +INF . 60 -INF -1.262 +INF . ---- VAR TATM Temperature of atmosphere in degrees C LOWER LEVEL UPPER MARGINAL 1 . 0.731 20.000 . 2 . 0.951 20.000 . 3 . 1.165 20.000 . 4 . 1.376 20.000 . 5 . 1.584 20.000 . 6 . 1.786 20.000 . 7 . 1.984 20.000 . 8 . 2.175 20.000 . 9 . 2.360 20.000 . 10 . 2.537 20.000 . 11 . 2.706 20.000 . 12 . 2.858 20.000 . 13 . 2.996 20.000 . 14 . 3.119 20.000 . 15 . 3.227 20.000 . 16 . 3.320 20.000 . 17 . 3.395 20.000 . 18 . 3.448 20.000 . 19 . 3.477 20.000 . 20 . 3.474 20.000 . 21 . 3.437 20.000 . 22 . 3.373 20.000 . 23 . 3.300 20.000 . 24 . 3.226 20.000 . 25 . 3.153 20.000 . 26 . 3.086 20.000 . 27 . 3.023 20.000 . 28 . 2.964 20.000 . 29 . 2.909 20.000 . 30 . 2.857 20.000 . 31 . 2.808 20.000 . 32 . 2.760 20.000 . 33 . 2.715 20.000 . 34 . 2.670 20.000 . 35 . 2.627 20.000 . 36 . 2.585 20.000 . 37 . 2.544 20.000 . 38 . 2.503 20.000 . 39 . 2.463 20.000 . 40 . 2.423 20.000 . 41 . 2.384 20.000 . 42 . 2.346 20.000 . 43 . 2.308 20.000 . 44 . 2.270 20.000 . 45 . 2.233 20.000 . 46 . 2.197 20.000 . 47 . 2.161 20.000 . 48 . 2.126 20.000 . 49 . 2.092 20.000 . 50 . 2.059 20.000 . 51 . 2.029 20.000 . 52 . 1.997 20.000 . 53 . 1.965 20.000 . 54 . 1.933 20.000 . 55 . 1.901 20.000 . 56 . 1.870 20.000 . 57 . 1.840 20.000 . 58 . 1.814 20.000 . 59 . 1.846 20.000 . 60 . 1.076 20.000 . ---- VAR TOCEAN Temperatureof lower oceans degrees C LOWER LEVEL UPPER MARGINAL 1 -1.000 0.007 20.000 . 2 -1.000 0.043 20.000 . 3 -1.000 0.088 20.000 . 4 -1.000 0.142 20.000 . 5 -1.000 0.204 20.000 . 6 -1.000 0.273 20.000 . 7 -1.000 0.349 20.000 . 8 -1.000 0.430 20.000 . 9 -1.000 0.518 20.000 . 10 -1.000 0.610 20.000 . 11 -1.000 0.706 20.000 . 12 -1.000 0.806 20.000 . 13 -1.000 0.909 20.000 . 14 -1.000 1.013 20.000 . 15 -1.000 1.118 20.000 . 16 -1.000 1.224 20.000 . 17 -1.000 1.329 20.000 . 18 -1.000 1.432 20.000 . 19 -1.000 1.533 20.000 . 20 -1.000 1.630 20.000 . 21 -1.000 1.722 20.000 . 22 -1.000 1.808 20.000 . 23 -1.000 1.886 20.000 . 24 -1.000 1.957 20.000 . 25 -1.000 2.020 20.000 . 26 -1.000 2.077 20.000 . 27 -1.000 2.127 20.000 . 28 -1.000 2.172 20.000 . 29 -1.000 2.212 20.000 . 30 -1.000 2.247 20.000 . 31 -1.000 2.277 20.000 . 32 -1.000 2.304 20.000 . 33 -1.000 2.326 20.000 . 34 -1.000 2.346 20.000 . 35 -1.000 2.362 20.000 . 36 -1.000 2.375 20.000 . 37 -1.000 2.386 20.000 . 38 -1.000 2.394 20.000 . 39 -1.000 2.399 20.000 . 40 -1.000 2.402 20.000 . 41 -1.000 2.403 20.000 . 42 -1.000 2.402 20.000 . 43 -1.000 2.400 20.000 . 44 -1.000 2.395 20.000 . 45 -1.000 2.389 20.000 . 46 -1.000 2.381 20.000 . 47 -1.000 2.372 20.000 . 48 -1.000 2.361 20.000 . 49 -1.000 2.350 20.000 . 50 -1.000 2.337 20.000 . 51 -1.000 2.323 20.000 . 52 -1.000 2.308 20.000 . 53 -1.000 2.293 20.000 . 54 -1.000 2.276 20.000 . 55 -1.000 2.259 20.000 . 56 -1.000 2.241 20.000 . 57 -1.000 2.223 20.000 . 58 -1.000 2.203 20.000 . 59 -1.000 2.184 20.000 . 60 -1.000 2.167 20.000 . ---- VAR MAT Carbon concentration in atmosphere GtC LOWER LEVEL UPPER MARGINAL 1 10.000 808.900 +INF . 2 10.000 863.108 +INF . 3 10.000 907.615 +INF -1.163E-5 4 10.000 954.046 +INF 5.3088E-5 5 10.000 1001.583 +INF 2.3221E-5 6 10.000 1049.507 +INF 4.2992E-5 7 10.000 1097.239 +INF 6.6321E-5 8 10.000 1144.300 +INF 8.6046E-5 9 10.000 1190.270 +INF 9.4169E-5 10 10.000 1234.726 +INF 8.0901E-5 11 10.000 1277.210 +INF 1.0898E-4 12 10.000 1317.183 +INF 1.1969E-4 13 10.000 1353.975 +INF 1.2913E-4 14 10.000 1386.742 +INF 1.5485E-4 15 10.000 1414.431 +INF 1.7326E-4 16 10.000 1435.743 +INF 2.1135E-4 17 10.000 1449.098 +INF 2.4708E-4 18 10.000 1452.579 +INF 2.8043E-4 19 10.000 1443.855 +INF 3.4430E-4 20 10.000 1420.231 +INF 4.1670E-4 21 10.000 1378.677 +INF 0.001 22 10.000 1323.732 +INF 0.003 23 10.000 1280.012 +INF 6.2104E-4 24 10.000 1244.266 +INF -3.785E-4 25 10.000 1214.234 +INF -8.410E-4 26 10.000 1188.341 +INF -9.046E-4 27 10.000 1165.487 +INF -0.001 28 10.000 1144.904 +INF -0.001 29 10.000 1126.054 +INF -8.870E-4 30 10.000 1108.558 +INF -7.543E-4 31 10.000 1092.148 +INF -6.213E-4 32 10.000 1076.635 +INF -4.969E-4 33 10.000 1061.880 +INF -3.516E-4 34 10.000 1047.786 +INF -1.931E-4 35 10.000 1034.278 +INF 1.4102E-4 36 10.000 1021.302 +INF EPS 37 10.000 1008.815 +INF EPS 38 10.000 996.784 +INF EPS 39 10.000 985.182 +INF EPS 40 10.000 973.987 +INF EPS 41 10.000 963.181 +INF EPS 42 10.000 952.745 +INF EPS 43 10.000 942.665 +INF EPS 44 10.000 932.928 +INF EPS 45 10.000 923.650 +INF EPS 46 10.000 914.573 +INF EPS 47 10.000 905.768 +INF EPS 48 10.000 897.406 +INF EPS 49 10.000 889.167 +INF EPS 50 10.000 881.381 +INF EPS 51 10.000 876.466 +INF EPS 52 10.000 868.600 +INF EPS 53 10.000 861.028 +INF EPS 54 10.000 853.815 +INF EPS 55 10.000 847.014 +INF EPS 56 10.000 840.381 +INF EPS 57 10.000 834.063 +INF EPS 58 10.000 827.925 +INF EPS 59 10.000 828.769 +INF EPS 60 10.000 897.091 +INF EPS ---- VAR MATAV Average concentrations LOWER LEVEL UPPER MARGINAL 1 . 836.004 +INF . 2 . 885.361 +INF . 3 . 930.830 +INF . 4 . 977.814 +INF . 5 . 1025.545 +INF . 6 . 1073.373 +INF . 7 . 1120.769 +INF . 8 . 1167.285 +INF . 9 . 1212.498 +INF . 10 . 1255.968 +INF . 11 . 1297.196 +INF . 12 . 1335.579 +INF . 13 . 1370.359 +INF . 14 . 1400.587 +INF . 15 . 1425.087 +INF . 16 . 1442.420 +INF . 17 . 1450.838 +INF . 18 . 1448.217 +INF . 19 . 1432.043 +INF . 20 . 1399.454 +INF . 21 . 1351.205 +INF . 22 . 1301.872 +INF . 23 . 1262.139 +INF . 24 . 1229.250 +INF . 25 . 1201.288 +INF . 26 . 1176.914 +INF . 27 . 1155.195 +INF . 28 . 1135.479 +INF . 29 . 1117.306 +INF . 30 . 1100.353 +INF . 31 . 1084.391 +INF . 32 . 1069.257 +INF . 33 . 1054.833 +INF . 34 . 1041.032 +INF . 35 . 1027.790 +INF . 36 . 1015.058 +INF . 37 . 1002.799 +INF . 38 . 990.983 +INF . 39 . 979.585 +INF . 40 . 968.584 +INF . 41 . 957.963 +INF . 42 . 947.705 +INF . 43 . 937.797 +INF . 44 . 928.289 +INF . 45 . 919.112 +INF . 46 . 910.170 +INF . 47 . 901.587 +INF . 48 . 893.286 +INF . 49 . 885.274 +INF . 50 . 878.923 +INF . 51 . 872.533 +INF . 52 . 864.814 +INF . 53 . 857.422 +INF . 54 . 850.415 +INF . 55 . 843.697 +INF . 56 . 837.222 +INF . 57 . 830.994 +INF . 58 . 828.347 +INF . 59 . 862.930 +INF . 60 . 448.545 +INF . ---- VAR MU Carbon concentration in shallow oceans Gtc LOWER LEVEL UPPER MARGINAL 1 100.000 1255.000 +INF . 2 100.000 1280.635 +INF . 3 100.000 1312.775 +INF . 4 100.000 1348.628 +INF . 5 100.000 1388.018 +INF . 6 100.000 1430.640 +INF . 7 100.000 1476.095 +INF . 8 100.000 1523.939 +INF . 9 100.000 1573.698 +INF . 10 100.000 1624.892 +INF . 11 100.000 1677.030 +INF . 12 100.000 1729.608 +INF . 13 100.000 1782.094 +INF . 14 100.000 1833.907 +INF . 15 100.000 1884.393 +INF . 16 100.000 1932.792 +INF . 17 100.000 1978.214 +INF . 18 100.000 2019.596 +INF . 19 100.000 2055.672 +INF . 20 100.000 2084.919 +INF . 21 100.000 2105.526 +INF . 22 100.000 2115.376 +INF . 23 100.000 2113.521 +INF . 24 100.000 2103.808 +INF . 25 100.000 2088.905 +INF . 26 100.000 2070.654 +INF . 27 100.000 2050.328 +INF . 28 100.000 2028.806 +INF . 29 100.000 2006.690 +INF . 30 100.000 1984.391 +INF . 31 100.000 1962.189 +INF . 32 100.000 1940.272 +INF . 33 100.000 1918.762 +INF . 34 100.000 1897.741 +INF . 35 100.000 1877.257 +INF . 36 100.000 1857.339 +INF . 37 100.000 1838.000 +INF . 38 100.000 1819.244 +INF . 39 100.000 1801.070 +INF . 40 100.000 1783.468 +INF . 41 100.000 1766.429 +INF . 42 100.000 1749.940 +INF . 43 100.000 1733.987 +INF . 44 100.000 1718.557 +INF . 45 100.000 1703.634 +INF . 46 100.000 1689.228 +INF . 47 100.000 1675.298 +INF . 48 100.000 1661.823 +INF . 49 100.000 1648.818 +INF . 50 100.000 1636.234 +INF . 51 100.000 1624.094 +INF . 52 100.000 1612.872 +INF . 53 100.000 1601.874 +INF . 54 100.000 1591.119 +INF . 55 100.000 1580.638 +INF . 56 100.000 1570.468 +INF . 57 100.000 1560.591 +INF . 58 100.000 1551.024 +INF . 59 100.000 1541.752 +INF . 60 100.000 1534.052 +INF . ---- VAR ML Carbon concentration in lower oceans GtC LOWER LEVEL UPPER MARGINAL 1 1000.000 18365.000 +INF . 2 1000.000 18370.477 +INF . 3 1000.000 18377.219 +INF . 4 1000.000 18385.547 +INF . 5 1000.000 18395.642 +INF . 6 1000.000 18407.675 +INF . 7 1000.000 18421.801 +INF . 8 1000.000 18438.156 +INF . 9 1000.000 18456.852 +INF . 10 1000.000 18477.978 +INF . 11 1000.000 18501.597 +INF . 12 1000.000 18527.750 +INF . 13 1000.000 18556.450 +INF . 14 1000.000 18587.685 +INF . 15 1000.000 18621.414 +INF . 16 1000.000 18657.561 +INF . 17 1000.000 18696.016 +INF . 18 1000.000 18736.621 +INF . 19 1000.000 18779.170 +INF . 20 1000.000 18823.389 +INF . 21 1000.000 18868.933 +INF . 22 1000.000 18915.365 +INF . 23 1000.000 18962.145 +INF . 24 1000.000 19008.686 +INF . 25 1000.000 19054.596 +INF . 26 1000.000 19099.618 +INF . 27 1000.000 19143.587 +INF . 28 1000.000 19186.403 +INF . 29 1000.000 19228.009 +INF . 30 1000.000 19268.379 +INF . 31 1000.000 19307.509 +INF . 32 1000.000 19345.406 +INF . 33 1000.000 19382.090 +INF . 34 1000.000 19417.583 +INF . 35 1000.000 19451.915 +INF . 36 1000.000 19485.116 +INF . 37 1000.000 19517.217 +INF . 38 1000.000 19548.251 +INF . 39 1000.000 19578.250 +INF . 40 1000.000 19607.248 +INF . 41 1000.000 19635.274 +INF . 42 1000.000 19662.362 +INF . 43 1000.000 19688.540 +INF . 44 1000.000 19713.839 +INF . 45 1000.000 19738.288 +INF . 46 1000.000 19761.914 +INF . 47 1000.000 19784.747 +INF . 48 1000.000 19806.811 +INF . 49 1000.000 19828.133 +INF . 50 1000.000 19848.739 +INF . 51 1000.000 19868.651 +INF . 52 1000.000 19887.893 +INF . 53 1000.000 19906.515 +INF . 54 1000.000 19924.529 +INF . 55 1000.000 19941.948 +INF . 56 1000.000 19958.790 +INF . 57 1000.000 19975.070 +INF . 58 1000.000 19990.806 +INF . 59 1000.000 20006.014 +INF . 60 1000.000 20020.712 +INF . ---- VAR E CO2-equivalent emissions GtC LOWER LEVEL UPPER MARGINAL 1 . 85.320 +INF . 2 . 83.388 +INF . 3 . 90.613 +INF . 4 . 97.022 +INF . 5 . 102.578 +INF . 6 . 107.313 +INF . 7 . 111.260 +INF . 8 . 114.425 +INF . 9 . 116.776 +INF . 10 . 118.241 +INF . 11 . 118.704 +INF . 12 . 117.979 +INF . 13 . 115.815 +INF . 14 . 111.903 +INF . 15 . 105.858 +INF . 16 . 97.231 +INF . 17 . 85.469 +INF . 18 . 69.901 +INF . 19 . 49.841 +INF . 20 . 24.597 +INF . 21 . 1.337 +INF . 22 . 1.204 +INF . 23 . 1.083 +INF . 24 . 0.975 +INF . 25 . 0.877 +INF . 26 . 0.790 +INF . 27 . 0.711 +INF . 28 . 0.640 +INF . 29 . 0.576 +INF . 30 . 0.518 +INF . 31 . 0.466 +INF . 32 . 0.420 +INF . 33 . 0.378 +INF . 34 . 0.340 +INF . 35 . 0.306 +INF . 36 . 0.275 +INF . 37 . 0.248 +INF . 38 . 0.223 +INF . 39 . 0.201 +INF . 40 . 0.181 +INF . 41 . 0.163 +INF . 42 . 0.146 +INF . 43 . 0.132 +INF . 44 . 0.248 +INF . 45 . 0.143 +INF . 46 . 0.097 +INF . 47 . 0.228 +INF . 48 . 0.078 +INF . 49 . 0.236 +INF . 50 . 2.856 +INF . 51 . 0.156 +INF . 52 . 0.051 +INF . 53 . 0.046 +INF . 54 . 0.138 +INF . 55 . 0.037 +INF . 56 . 0.087 +INF . 57 . 0.030 +INF . 58 . 6.780 +INF . 59 . 75.319 +INF . 60 . 318.086 +INF EPS ---- VAR C Consumption trillions US dollars LOWER LEVEL UPPER MARGINAL 1 20.000 43.354 +INF . 2 20.000 54.199 +INF . 3 20.000 66.322 +INF . 4 20.000 79.624 +INF . 5 20.000 94.141 +INF . 6 20.000 109.993 +INF . 7 20.000 127.359 +INF . 8 20.000 146.451 +INF . 9 20.000 167.506 +INF . 10 20.000 190.785 +INF . 11 20.000 216.565 +INF . 12 20.000 245.179 +INF . 13 20.000 276.959 +INF . 14 20.000 312.266 +INF . 15 20.000 351.488 +INF . 16 20.000 395.053 +INF . 17 20.000 443.430 +INF . 18 20.000 497.142 +INF . 19 20.000 556.779 +INF . 20 20.000 623.019 +INF . 21 20.000 697.091 +INF . 22 20.000 781.243 +INF . 23 20.000 875.192 +INF . 24 20.000 979.603 +INF . 25 20.000 1095.273 +INF . 26 20.000 1223.122 +INF 0.003 27 20.000 1364.183 +INF . 28 20.000 1519.599 +INF . 29 20.000 1690.619 +INF . 30 20.000 1878.594 +INF . 31 20.000 2084.985 +INF . 32 20.000 2311.359 +INF -2.069E-4 33 20.000 2559.396 +INF -2.895E-4 34 20.000 2830.890 +INF -3.044E-4 35 20.000 3127.760 +INF 0.002 36 20.000 3452.047 +INF 0.002 37 20.000 3805.927 +INF 0.001 38 20.000 4191.714 +INF 8.7897E-4 39 20.000 4611.865 +INF 6.2567E-4 40 20.000 5068.988 +INF 4.4627E-4 41 20.000 5565.849 +INF 3.1894E-4 42 20.000 5964.048 +INF 2.3935E-4 43 20.000 6553.183 +INF 1.7083E-4 44 20.000 7209.357 +INF 1.2162E-4 45 20.000 7333.268 +INF 1.0128E-4 46 20.000 6997.964 +INF 9.5837E-5 47 20.000 7378.409 +INF 7.4283E-5 48 20.000 7794.732 +INF 5.7353E-5 49 20.000 7986.788 +INF 4.7071E-5 50 20.000 6838.197 +INF 5.5329E-5 51 20.000 10312.891 +INF 2.0961E-5 52 20.000 12809.078 +INF 1.1708E-5 53 20.000 12728.573 +INF 1.0216E-5 54 20.000 5366.012 +INF 4.9532E-5 55 20.000 8669.163 +INF 1.6352E-5 56 20.000 9524.176 +INF 1.1674E-5 57 20.000 9693.198 +INF 9.7113E-6 58 20.000 9269.498 +INF 9.1504E-6 59 20.000 9940.323 +INF 6.8563E-6 60 20.000 9588.683 +INF 6.3491E-6 ---- VAR K Capital stock trillions US dollars LOWER LEVEL UPPER MARGINAL 1 100.000 137.000 +INF . 2 100.000 170.053 +INF . 3 100.000 212.167 +INF . 4 100.000 261.043 +INF . 5 100.000 315.604 +INF . 6 100.000 375.572 +INF . 7 100.000 441.194 +INF . 8 100.000 513.056 +INF . 9 100.000 591.961 +INF . 10 100.000 678.860 +INF . 11 100.000 774.818 +INF . 12 100.000 880.990 +INF . 13 100.000 998.715 +INF . 14 100.000 1129.399 +INF . 15 100.000 1274.547 +INF . 16 100.000 1435.786 +INF . 17 100.000 1614.881 +INF . 18 100.000 1813.777 +INF . 19 100.000 2034.622 +INF . 20 100.000 2279.833 +INF . 21 100.000 2552.165 +INF . 22 100.000 2856.043 +INF . 23 100.000 3199.350 +INF . 24 100.000 3584.037 +INF . 25 100.000 4012.661 +INF . 26 100.000 4488.362 +INF . 27 100.000 5014.828 +INF . 28 100.000 5596.261 +INF . 29 100.000 6237.348 +INF . 30 100.000 6943.243 +INF . 31 100.000 7719.561 +INF . 32 100.000 8572.375 +INF . 33 100.000 9508.223 +INF . 34 100.000 10534.124 +INF . 35 100.000 11657.587 +INF . 36 100.000 12886.638 +INF . 37 100.000 14229.838 +INF . 38 100.000 15696.307 +INF . 39 100.000 17295.750 +INF . 40 100.000 19038.483 +INF . 41 100.000 20935.458 +INF . 42 100.000 21271.178 +INF . 43 100.000 23551.600 +INF . 44 100.000 26241.976 +INF . 45 100.000 22566.165 +INF . 46 100.000 15719.622 +INF . 47 100.000 15302.139 +INF . 48 100.000 15025.070 +INF . 49 100.000 13352.705 +INF . 50 100.000 6534.746 +INF . 51 100.000 21155.206 +INF . 52 100.000 35927.884 +INF . 53 100.000 29066.093 +INF . 54 100.000 1351.761 +INF . 55 100.000 5547.719 +INF . 56 100.000 6308.435 +INF . 57 100.000 5570.123 +INF . 58 100.000 4003.955 +INF . 59 100.000 4228.674 +INF . 60 100.000 3066.958 +INF . ---- VAR CPC Per capita consumption thousands US dollars LOWER LEVEL UPPER MARGINAL 1 -INF 6.656 +INF . 2 -INF 7.602 +INF . 3 -INF 8.768 +INF . 4 -INF 10.117 +INF . 5 -INF 11.643 +INF . 6 -INF 13.353 +INF . 7 -INF 15.263 +INF . 8 -INF 17.393 +INF . 9 -INF 19.769 +INF . 10 -INF 22.417 +INF . 11 -INF 25.368 +INF . 12 -INF 28.657 +INF . 13 -INF 32.322 +INF . 14 -INF 36.403 +INF . 15 -INF 40.945 +INF . 16 -INF 45.995 +INF . 17 -INF 51.608 +INF . 18 -INF 57.844 +INF . 19 -INF 64.771 +INF . 20 -INF 72.467 +INF . 21 -INF 81.075 +INF . 22 -INF 90.856 +INF . 23 -INF 101.778 +INF . 24 -INF 113.916 +INF . 25 -INF 127.364 +INF . 26 -INF 142.229 +INF . 27 -INF 158.630 +INF . 28 -INF 176.701 +INF . 29 -INF 196.586 +INF . 30 -INF 218.443 +INF . 31 -INF 242.442 +INF . 32 -INF 268.764 +INF . 33 -INF 297.605 +INF . 34 -INF 329.174 +INF . 35 -INF 363.694 +INF . 36 -INF 401.401 +INF . 37 -INF 442.550 +INF . 38 -INF 487.409 +INF . 39 -INF 536.264 +INF . 40 -INF 589.417 +INF . 41 -INF 647.192 +INF . 42 -INF 693.494 +INF . 43 -INF 761.998 +INF . 44 -INF 838.297 +INF . 45 -INF 852.706 +INF . 46 -INF 813.717 +INF . 47 -INF 857.955 +INF . 48 -INF 906.364 +INF . 49 -INF 928.696 +INF . 50 -INF 795.139 +INF . 51 -INF 1199.173 +INF . 52 -INF 1489.428 +INF . 53 -INF 1480.067 +INF . 54 -INF 623.955 +INF . 55 -INF 1008.042 +INF . 56 -INF 1107.462 +INF . 57 -INF 1127.116 +INF . 58 -INF 1077.849 +INF . 59 -INF 1155.852 +INF . 60 -INF 1114.963 +INF . ---- VAR PCY Per capita income thousands US dollars LOWER LEVEL UPPER MARGINAL 1 -INF 8.533 +INF . 2 -INF 9.746 +INF . 3 -INF 11.241 +INF . 4 -INF 12.971 +INF . 5 -INF 14.927 +INF . 6 -INF 17.119 +INF . 7 -INF 19.567 +INF . 8 -INF 22.299 +INF . 9 -INF 25.345 +INF . 10 -INF 28.740 +INF . 11 -INF 32.523 +INF . 12 -INF 36.740 +INF . 13 -INF 41.439 +INF . 14 -INF 46.671 +INF . 15 -INF 52.493 +INF . 16 -INF 58.968 +INF . 17 -INF 66.164 +INF . 18 -INF 74.159 +INF . 19 -INF 83.039 +INF . 20 -INF 92.906 +INF . 21 -INF 103.942 +INF . 22 -INF 116.483 +INF . 23 -INF 130.484 +INF . 24 -INF 146.046 +INF . 25 -INF 163.288 +INF . 26 -INF 182.345 +INF . 27 -INF 203.372 +INF . 28 -INF 226.540 +INF . 29 -INF 252.034 +INF . 30 -INF 280.055 +INF . 31 -INF 310.823 +INF . 32 -INF 344.569 +INF . 33 -INF 381.545 +INF . 34 -INF 422.018 +INF . 35 -INF 466.274 +INF . 36 -INF 514.617 +INF . 37 -INF 567.372 +INF . 38 -INF 624.883 +INF . 39 -INF 687.517 +INF . 40 -INF 755.663 +INF . 41 -INF 829.733 +INF . 42 -INF 889.095 +INF . 43 -INF 976.921 +INF . 44 -INF 1074.740 +INF . 45 -INF 1093.212 +INF . 46 -INF 1043.227 +INF . 47 -INF 1099.942 +INF . 48 -INF 1162.005 +INF . 49 -INF 1190.636 +INF . 50 -INF 1019.409 +INF . 51 -INF 1537.402 +INF . 52 -INF 1909.523 +INF . 53 -INF 1897.521 +INF . 54 -INF 799.942 +INF . 55 -INF 1292.362 +INF . 56 -INF 1419.824 +INF . 57 -INF 1445.021 +INF . 58 -INF 1381.857 +INF . 59 -INF 1481.861 +INF . 60 -INF 1429.440 +INF . ---- VAR I Investment trillions US dollars LOWER LEVEL UPPER MARGINAL 1 . 12.228 +INF . 2 . 15.287 +INF . 3 . 18.707 +INF . 4 . 22.458 +INF . 5 . 26.553 +INF . 6 . 31.024 +INF . 7 . 35.922 +INF . 8 . 41.307 +INF . 9 . 47.246 +INF . 10 . 53.811 +INF . 11 . 61.083 +INF . 12 . 69.153 +INF . 13 . 78.117 +INF . 14 . 88.075 +INF . 15 . 99.138 +INF . 16 . 111.425 +INF . 17 . 125.070 +INF . 18 . 140.220 +INF . 19 . 157.040 +INF . 20 . 175.724 +INF . 21 . 196.616 +INF . 22 . 220.351 +INF . 23 . 246.849 +INF . 24 . 276.298 +INF . 25 . 308.923 +INF . 26 . 344.983 +INF . 27 . 384.770 +INF . 28 . 428.605 +INF . 29 . 476.841 +INF . 30 . 529.860 +INF . 31 . 588.073 +INF . 32 . 651.922 +INF . 33 . 721.881 +INF . 34 . 798.457 +INF . 35 . 882.189 +INF . 36 . 973.655 +INF . 37 . 1073.467 +INF . 38 . 1182.279 +INF . 39 . 1300.783 +INF . 40 . 1429.715 +INF . 41 . 1569.855 +INF . 42 . 1682.168 +INF . 43 . 1848.334 +INF . 44 . 2033.409 +INF . 45 . 2068.358 +INF . 46 . 1973.785 +INF . 47 . 2081.090 +INF . 48 . 2198.515 +INF . 49 . 2252.684 +INF . 50 . 1928.723 +INF . 51 . 2908.765 +INF . 52 . 3612.817 +INF . 53 . 3590.110 +INF . 54 . 1513.491 +INF . 55 . 2445.149 +INF . 56 . 2686.306 +INF . 57 . 2733.979 +INF . 58 . 2614.474 +INF . 59 . 2803.681 +INF . 60 . 2704.501 +INF . ---- VAR S Gross savings rate as fraction of gross world product LOWER LEVEL UPPER MARGINAL 1 0.220 0.220 0.220 1936.030 2 0.220 0.220 0.220 -861.919 3 0.220 0.220 0.220 -1783.439 4 0.220 0.220 0.220 -1899.056 5 0.220 0.220 0.220 -1704.736 6 0.220 0.220 0.220 -1419.984 7 0.220 0.220 0.220 -1136.677 8 0.220 0.220 0.220 -888.849 9 0.220 0.220 0.220 -684.997 10 0.220 0.220 0.220 -523.051 11 0.220 0.220 0.220 -397.288 12 0.220 0.220 0.220 -300.031 13 0.220 0.220 0.220 -225.515 14 0.220 0.220 0.220 -168.788 15 0.220 0.220 0.220 -125.793 16 0.220 0.220 0.220 -93.344 17 0.220 0.220 0.220 -68.989 18 0.220 0.220 0.220 -50.911 19 0.220 0.220 0.220 -37.824 20 0.220 0.220 0.220 -28.958 21 0.220 0.220 0.220 -23.000 22 0.220 0.220 0.220 -17.609 23 0.220 0.220 0.220 -13.809 24 0.220 0.220 0.220 -11.536 25 0.220 0.220 0.220 -10.970 26 0.220 0.220 0.220 EPS 27 0.220 0.220 0.220 -3.893 28 0.220 0.220 0.220 -2.807 29 0.220 0.220 0.220 -1.896 30 0.220 0.220 0.220 -1.020 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 . 2 -INF 0.057 +INF . 3 -INF 0.055 +INF . 4 -INF 0.052 +INF . 5 -INF 0.050 +INF . 6 -INF 0.048 +INF . 7 -INF 0.046 +INF . 8 -INF 0.045 +INF . 9 -INF 0.044 +INF . 10 -INF 0.043 +INF . 11 -INF 0.042 +INF . 12 -INF 0.042 +INF . 13 -INF 0.042 +INF . 14 -INF 0.041 +INF . 15 -INF 0.041 +INF . 16 -INF 0.041 +INF . 17 -INF 0.040 +INF . 18 -INF 0.040 +INF . 19 -INF 0.040 +INF . 20 -INF 0.040 +INF . 21 -INF 0.040 +INF . 22 -INF 0.040 +INF . 23 -INF 0.040 +INF . 24 -INF 0.040 +INF . 25 -INF 0.040 +INF . 26 -INF 0.040 +INF . 27 -INF 0.039 +INF . 28 -INF 0.039 +INF . 29 -INF 0.039 +INF . 30 -INF 0.039 +INF . 31 -INF 0.039 +INF . 32 -INF 0.039 +INF . 33 -INF 0.038 +INF . 34 -INF 0.038 +INF . 35 -INF 0.038 +INF . 36 -INF 0.038 +INF . 37 -INF 0.038 +INF . 38 -INF 0.038 +INF . 39 -INF 0.037 +INF . 40 -INF 0.037 +INF . 41 -INF 0.037 +INF . 42 -INF 0.043 +INF . 43 -INF 0.042 +INF . 44 -INF 0.041 +INF . 45 -INF 0.060 +INF . 46 -INF 0.106 +INF . 47 -INF 0.120 +INF . 48 -INF 0.134 +INF . 49 -INF 0.165 +INF . 50 -INF 0.337 +INF . 51 -INF 0.122 +INF . 52 -INF 0.072 +INF . 53 -INF 0.103 +INF . 54 -INF 1.462 +INF . 55 -INF 0.536 +INF . 56 -INF 0.516 +INF . 57 -INF 0.604 +INF . 58 -INF 0.825 +INF . 59 -INF 0.839 +INF . 60 -INF 1.137 +INF . ---- VAR Y Gross world product net of abatement and damages LOWER LEVEL UPPER MARGINAL 1 . 55.583 +INF . 2 . 69.487 +INF . 3 . 85.029 +INF . 4 . 102.082 +INF . 5 . 120.693 +INF . 6 . 141.017 +INF . 7 . 163.281 +INF . 8 . 187.758 +INF . 9 . 214.752 +INF . 10 . 244.596 +INF . 11 . 277.648 +INF . 12 . 314.332 +INF . 13 . 355.076 +INF . 14 . 400.341 +INF . 15 . 450.626 +INF . 16 . 506.478 +INF . 17 . 568.500 +INF . 18 . 637.362 +INF . 19 . 713.819 +INF . 20 . 798.743 +INF . 21 . 893.707 +INF . 22 . 1001.594 +INF . 23 . 1122.041 +INF . 24 . 1255.901 +INF . 25 . 1404.196 +INF . 26 . 1568.105 +INF . 27 . 1748.953 +INF . 28 . 1948.205 +INF . 29 . 2167.460 +INF . 30 . 2408.454 +INF . 31 . 2673.058 +INF . 32 . 2963.281 +INF . 33 . 3281.277 +INF . 34 . 3629.347 +INF . 35 . 4009.948 +INF -3.799E-9 36 . 4425.701 +INF -1.323E-9 37 . 4879.394 +INF -4.55E-10 38 . 5373.993 +INF -1.42E-10 39 . 5912.648 +INF EPS 40 . 6498.703 +INF EPS 41 . 7135.704 +INF EPS 42 . 7646.216 +INF EPS 43 . 8401.517 +INF EPS 44 . 9242.765 +INF EPS 45 . 9401.626 +INF EPS 46 . 8971.749 +INF EPS 47 . 9459.499 +INF EPS 48 . 9993.247 +INF EPS 49 . 10239.473 +INF EPS 50 . 8766.920 +INF EPS 51 . 13221.656 +INF EPS 52 . 16421.895 +INF EPS 53 . 16318.683 +INF EPS 54 . 6879.503 +INF EPS 55 . 11114.311 +INF EPS 56 . 12210.482 +INF EPS 57 . 12427.177 +INF EPS 58 . 11883.972 +INF EPS 59 . 12744.004 +INF EPS 60 . 12293.184 +INF EPS ---- VAR YGROSS Gross world product GROSS of abatement and damages LOWER LEVEL UPPER MARGINAL 1 . 55.667 +INF . 2 . 69.685 +INF . 3 . 85.391 +INF . 4 . 102.688 +INF . 5 . 121.641 +INF . 6 . 142.428 +INF . 7 . 165.301 +INF . 8 . 190.559 +INF . 9 . 218.540 +INF . 10 . 249.611 +INF . 11 . 284.167 +INF . 12 . 322.636 +INF . 13 . 365.489 +INF . 14 . 413.228 +INF . 15 . 466.397 +INF . 16 . 525.584 +INF . 17 . 591.424 +INF . 18 . 664.613 +INF . 19 . 745.907 +INF . 20 . 836.134 +INF . 21 . 936.206 +INF . 22 . 1047.269 +INF . 23 . 1170.899 +INF . 24 . 1308.075 +INF . 25 . 1459.900 +INF . 26 . 1627.608 +INF . 27 . 1812.558 +INF . 28 . 2016.237 +INF . 29 . 2240.262 +INF . 30 . 2486.379 +INF . 31 . 2756.469 +INF . 32 . 3052.549 +INF . 33 . 3376.782 +INF . 34 . 3731.479 +INF . 35 . 4119.106 +INF -0.004 36 . 4542.293 +INF EPS 37 . 5003.839 +INF EPS 38 . 5506.723 +INF EPS 39 . 6054.108 +INF EPS 40 . 6649.350 +INF EPS 41 . 7296.009 +INF EPS 42 . 7812.720 +INF EPS 43 . 8578.891 +INF EPS 44 . 9431.990 +INF EPS 45 . 9588.332 +INF EPS 46 . 9144.602 +INF EPS 47 . 9636.340 +INF EPS 48 . 10174.581 +INF EPS 49 . 10419.841 +INF EPS 50 . 8916.904 +INF EPS 51 . 13442.037 +INF EPS 52 . 16688.057 +INF EPS 53 . 16575.757 +INF EPS 54 . 6984.830 +INF EPS 55 . 11279.728 +INF EPS 56 . 12387.166 +INF EPS 57 . 12602.054 +INF EPS 58 . 12046.834 +INF EPS 59 . 12917.904 +INF EPS 60 . 12368.320 +INF EPS ---- VAR YNET Output net of damages equation LOWER LEVEL UPPER MARGINAL 1 -INF 55.583 +INF . 2 -INF 69.507 +INF . 3 -INF 85.063 +INF . 4 -INF 102.139 +INF . 5 -INF 120.781 +INF . 6 -INF 141.149 +INF . 7 -INF 163.474 +INF . 8 -INF 188.034 +INF . 9 -INF 215.139 +INF . 10 -INF 245.132 +INF . 11 -INF 278.380 +INF . 12 -INF 315.323 +INF . 13 -INF 356.409 +INF . 14 -INF 402.124 +INF . 15 -INF 453.003 +INF . 16 -INF 509.637 +INF . 17 -INF 572.690 +INF . 18 -INF 642.911 +INF . 19 -INF 721.160 +INF . 20 -INF 808.431 +INF . 21 -INF 905.832 +INF . 22 -INF 1014.494 +INF . 23 -INF 1135.782 +INF . 24 -INF 1270.549 +INF . 25 -INF 1419.818 +INF . 26 -INF 1584.770 +INF . 27 -INF 1766.735 +INF . 28 -INF 1967.181 +INF . 29 -INF 2187.714 +INF . 30 -INF 2430.074 +INF . 31 -INF 2696.137 +INF . 32 -INF 2987.921 +INF . 33 -INF 3307.584 +INF . 34 -INF 3657.436 +INF . 35 -INF 4039.942 +INF . 36 -INF 4457.730 +INF . 37 -INF 4913.595 +INF . 38 -INF 5410.513 +INF . 39 -INF 5951.644 +INF . 40 -INF 6540.342 +INF . 41 -INF 7180.160 +INF . 42 -INF 7692.579 +INF . 43 -INF 8451.141 +INF . 44 -INF 9295.982 +INF . 45 -INF 9454.450 +INF . 46 -INF 9020.976 +INF . 47 -INF 9510.214 +INF . 48 -INF 10045.655 +INF . 49 -INF 10292.019 +INF . 50 -INF 8810.815 +INF . 51 -INF 13286.790 +INF . 52 -INF 16501.241 +INF . 53 -INF 16396.058 +INF . 54 -INF 6911.526 +INF . 55 -INF 11165.152 +INF . 56 -INF 12265.389 +INF . 57 -INF 12482.145 +INF . 58 -INF 11935.289 +INF . 59 -INF 12794.130 +INF . 60 -INF 12327.780 +INF . ---- VAR DAMAGES Damages LOWER LEVEL UPPER MARGINAL 1 -INF 0.084 +INF . 2 -INF 0.178 +INF . 3 -INF 0.328 +INF . 4 -INF 0.549 +INF . 5 -INF 0.860 +INF . 6 -INF 1.279 +INF . 7 -INF 1.827 +INF . 8 -INF 2.526 +INF . 9 -INF 3.401 +INF . 10 -INF 4.479 +INF . 11 -INF 5.787 +INF . 12 -INF 7.313 +INF . 13 -INF 9.080 +INF . 14 -INF 11.104 +INF . 15 -INF 13.394 +INF . 16 -INF 15.946 +INF . 17 -INF 18.735 +INF . 18 -INF 21.702 +INF . 19 -INF 24.747 +INF . 20 -INF 27.702 +INF . 21 -INF 30.373 +INF . 22 -INF 32.774 +INF . 23 -INF 35.116 +INF . 24 -INF 37.525 +INF . 25 -INF 40.082 +INF . 26 -INF 42.838 +INF . 27 -INF 45.823 +INF . 28 -INF 49.056 +INF . 29 -INF 52.548 +INF . 30 -INF 56.305 +INF . 31 -INF 60.331 +INF . 32 -INF 64.628 +INF . 33 -INF 69.198 +INF . 34 -INF 74.042 +INF . 35 -INF 79.163 +INF . 36 -INF 84.563 +INF . 37 -INF 90.244 +INF . 38 -INF 96.210 +INF . 39 -INF 102.464 +INF . 40 -INF 109.009 +INF . 41 -INF 115.849 +INF . 42 -INF 120.141 +INF . 43 -INF 127.750 +INF . 44 -INF 136.008 +INF . 45 -INF 133.882 +INF . 46 -INF 123.625 +INF . 47 -INF 126.126 +INF . 48 -INF 128.926 +INF . 49 -INF 127.822 +INF . 50 -INF 106.089 +INF . 51 -INF 155.247 +INF . 52 -INF 186.816 +INF . 53 -INF 179.699 +INF . 54 -INF 73.303 +INF . 55 -INF 114.576 +INF . 56 -INF 121.778 +INF . 57 -INF 119.909 +INF . 58 -INF 111.545 +INF . 59 -INF 123.774 +INF . 60 -INF 40.540 +INF . ---- VAR ABATECOST Cost of emissions reductions LOWER LEVEL UPPER MARGINAL 1 -INF 1.3292E-5 +INF . 2 -INF 0.020 +INF . 3 -INF 0.035 +INF . 4 -INF 0.057 +INF . 5 -INF 0.088 +INF . 6 -INF 0.133 +INF . 7 -INF 0.195 +INF . 8 -INF 0.279 +INF . 9 -INF 0.393 +INF . 10 -INF 0.545 +INF . 11 -INF 0.747 +INF . 12 -INF 1.014 +INF . 13 -INF 1.367 +INF . 14 -INF 1.833 +INF . 15 -INF 2.448 +INF . 16 -INF 3.258 +INF . 17 -INF 4.327 +INF . 18 -INF 5.737 +INF . 19 -INF 7.593 +INF . 20 -INF 10.021 +INF . 21 -INF 12.532 +INF . 22 -INF 13.317 +INF . 23 -INF 14.166 +INF . 24 -INF 15.081 +INF . 25 -INF 16.063 +INF . 26 -INF 17.116 +INF . 27 -INF 18.243 +INF . 28 -INF 19.450 +INF . 29 -INF 20.740 +INF . 30 -INF 22.120 +INF . 31 -INF 23.595 +INF . 32 -INF 25.172 +INF . 33 -INF 26.858 +INF . 34 -INF 28.658 +INF . 35 -INF 30.582 +INF . 36 -INF 32.636 +INF . 37 -INF 34.829 +INF . 38 -INF 37.170 +INF . 39 -INF 39.668 +INF . 40 -INF 42.332 +INF . 41 -INF 45.174 +INF . 42 -INF 47.087 +INF . 43 -INF 50.374 +INF . 44 -INF 53.995 +INF . 45 -INF 53.572 +INF . 46 -INF 49.902 +INF . 47 -INF 51.388 +INF . 48 -INF 53.081 +INF . 49 -INF 53.199 +INF . 50 -INF 44.424 +INF . 51 -INF 65.895 +INF . 52 -INF 80.245 +INF . 53 -INF 78.223 +INF . 54 -INF 32.363 +INF . 55 -INF 51.363 +INF . 56 -INF 55.451 +INF . 57 -INF 55.496 +INF . 58 -INF 51.797 +INF . 59 -INF 50.611 +INF . 60 -INF 34.710 +INF . ---- VAR CCA Cumulative industrial carbon emissions GTC LOWER LEVEL UPPER MARGINAL 1 . . 6000.000 . 2 . 85.320 6000.000 . 3 . 168.709 6000.000 EPS 4 . 259.321 6000.000 . 5 . 356.343 6000.000 . 6 . 458.921 6000.000 . 7 . 566.235 6000.000 . 8 . 677.495 6000.000 . 9 . 791.919 6000.000 . 10 . 908.696 6000.000 . 11 . 1026.937 6000.000 . 12 . 1145.641 6000.000 EPS 13 . 1263.620 6000.000 . 14 . 1379.435 6000.000 . 15 . 1491.338 6000.000 EPS 16 . 1597.196 6000.000 . 17 . 1694.427 6000.000 EPS 18 . 1779.896 6000.000 . 19 . 1849.797 6000.000 EPS 20 . 1899.639 6000.000 . 21 . 1924.236 6000.000 . 22 . 1925.573 6000.000 . 23 . 1926.777 6000.000 . 24 . 1927.860 6000.000 EPS 25 . 1928.835 6000.000 . 26 . 1929.712 6000.000 EPS 27 . 1930.502 6000.000 . 28 . 1931.213 6000.000 . 29 . 1931.853 6000.000 EPS 30 . 1932.428 6000.000 . 31 . 1932.946 6000.000 EPS 32 . 1933.413 6000.000 . 33 . 1933.832 6000.000 EPS 34 . 1934.210 6000.000 . 35 . 1934.550 6000.000 . 36 . 1934.856 6000.000 . 37 . 1935.131 6000.000 . 38 . 1935.379 6000.000 EPS 39 . 1935.602 6000.000 . 40 . 1935.803 6000.000 . 41 . 1935.983 6000.000 EPS 42 . 1936.146 6000.000 . 43 . 1936.292 6000.000 . 44 . 1936.424 6000.000 . 45 . 1936.672 6000.000 . 46 . 1936.815 6000.000 . 47 . 1936.912 6000.000 EPS 48 . 1937.140 6000.000 . 49 . 1937.218 6000.000 . 50 . 1937.454 6000.000 . 51 . 1940.310 6000.000 . 52 . 1940.466 6000.000 . 53 . 1940.517 6000.000 . 54 . 1940.563 6000.000 . 55 . 1940.701 6000.000 EPS 56 . 1940.738 6000.000 . 57 . 1940.825 6000.000 . 58 . 1940.855 6000.000 EPS 59 . 1947.635 6000.000 EPS 60 . 2022.954 6000.000 . ---- VAR PERIODU One period utility function LOWER LEVEL UPPER MARGINAL 1 -INF -149.250 +INF . 2 -INF -130.552 +INF . 3 -INF -113.051 +INF . 4 -INF -97.840 +INF . 5 -INF -84.889 +INF . 6 -INF -73.891 +INF . 7 -INF -64.520 +INF . 8 -INF -56.494 +INF . 9 -INF -49.584 +INF . 10 -INF -43.608 +INF . 11 -INF -38.420 +INF . 12 -INF -33.895 +INF . 13 -INF -29.939 +INF . 14 -INF -26.470 +INF . 15 -INF -23.423 +INF . 16 -INF -20.742 +INF . 17 -INF -18.377 +INF . 18 -INF -16.288 +INF . 19 -INF -14.439 +INF . 20 -INF -12.799 +INF . 21 -INF -11.334 +INF . 22 -INF -10.006 +INF . 23 -INF -8.825 +INF . 24 -INF -7.778 +INF . 25 -INF -6.851 +INF . 26 -INF -6.031 +INF . 27 -INF -5.304 +INF . 28 -INF -4.659 +INF . 29 -INF -4.087 +INF . 30 -INF -3.578 +INF . 31 -INF -3.125 +INF . 32 -INF -2.721 +INF . 33 -INF -2.360 +INF . 34 -INF -2.038 +INF . 35 -INF -1.750 +INF . 36 -INF -1.491 +INF . 37 -INF -1.260 +INF . 38 -INF -1.052 +INF . 39 -INF -0.865 +INF . 40 -INF -0.697 +INF . 41 -INF -0.545 +INF . 42 -INF -0.442 +INF . 43 -INF -0.312 +INF . 44 -INF -0.193 +INF . 45 -INF -0.173 +INF . 46 -INF -0.229 +INF . 47 -INF -0.166 +INF . 48 -INF -0.103 +INF . 49 -INF -0.077 +INF . 50 -INF -0.258 +INF . 51 -INF 0.166 +INF . 52 -INF 0.329 +INF . 53 -INF 0.324 +INF . 54 -INF -0.603 +INF . 55 -INF 0.008 +INF . 56 -INF 0.097 +INF . 57 -INF 0.113 +INF . 58 -INF 0.072 +INF . 59 -INF 0.135 +INF . 60 -INF 0.103 +INF . 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 00:00:31 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 = 0.003 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 00:00:31 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 SNOPT FROM LINE 310 **** SOLVER STATUS 1 Normal Completion **** MODEL STATUS 2 Locally Optimal **** OBJECTIVE VALUE 150163.1752 RESOURCE USAGE, LIMIT 0.032 99999.000 ITERATION COUNT, LIMIT 123 99900 EVALUATION ERRORS 0 0 SNOPT 7.2-4 Jul 14, 2011 23.7.1 LEX 26789.26792 LEG x86_64/Linux GAMS/SNOPT, Large Scale Nonlinear SQP Solver S N O P T 7.2-4 (June 2006) P. E. Gill, UC San Diego W. Murray and M. A. Saunders, Stanford University Work space allocated -- 3.25 Mb EXIT - Optimal Solution found, objective: 150163.2 ---- EQU CCTFIRST First period cumulative carbon LOWER LEVEL UPPER MARGINAL 1 . . . EPS ---- EQU CCACCA Cumulative carbon emissions LOWER LEVEL UPPER MARGINAL 2 . . . . 3 . . . EPS 4 . . . EPS 5 . . . EPS 6 . . . EPS 7 . . . EPS 8 . . . EPS 9 . . . EPS 10 . . . EPS 11 . . . . 12 . . . EPS 13 . . . EPS 14 . . . . 15 . . . EPS 16 . . . . 17 . . . EPS 18 . . . . 19 . . . EPS 20 . . . EPS 21 . . . EPS 22 . . . EPS 23 . . . . 24 . . . EPS 25 . . . . 26 . . . EPS 27 . . . EPS 28 . . . . 29 . . . EPS 30 . . . . 31 . . . EPS 32 . . . . 33 . . . EPS 34 . . . EPS 35 . . . EPS 36 . . . EPS 37 . . . . 38 . . . EPS 39 . . . EPS 40 . . . . 41 . . . EPS 42 . . . EPS 43 . . . EPS 44 . . . EPS 45 . . . EPS 46 . . . . 47 . . . EPS 48 . . . EPS 49 . . . EPS 50 . . . EPS 51 . . . EPS 52 . . . EPS 53 . . . EPS 54 . . . . 55 . . . EPS 56 . . . EPS 57 . . . . 58 . . . EPS 59 . . . . 60 . . . EPS 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 . . . 0.041 28 . . . 0.030 29 . . . 0.021 30 . . . 0.015 31 . . . 0.011 32 . . . 0.008 33 . . . 0.006 34 . . . 0.004 35 . . . 0.003 36 . . . 0.002 37 . . . 0.002 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 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 . . . 0.040 28 . . . 0.029 29 . . . 0.021 30 . . . 0.015 31 . . . 0.011 32 . . . 0.008 33 . . . 0.006 34 . . . 0.004 35 . . . 0.003 36 . . . 0.002 37 . . . 0.002 38 . . . 0.002 39 . . . . 40 . . . EPS 41 . . . . 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 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 . . . 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 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 . . . 0.041 28 . . . 0.030 29 . . . 0.021 30 . . . 0.015 31 . . . 0.011 32 . . . 0.008 33 . . . 0.006 34 . . . 0.004 35 . . . 0.003 36 . . . 0.002 37 . . . 0.002 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 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 . . 0.002 31 -INF . . 0.001 32 -INF . . 7.9764E-4 33 -INF . . 5.7634E-4 34 -INF . . 4.1695E-4 35 -INF . . 3.0200E-4 36 -INF . . 2.1901E-4 37 -INF . . 1.5900E-4 38 -INF . . EPS 39 -INF . . . 40 -INF . . EPS 41 -INF -1727.116 . . 42 -INF -686.878 . . 43 -INF -453.299 . . 44 -INF -6917.932 . . 45 -INF -1.283E+4 . . 46 -INF -9916.803 . . 47 -INF -1.112E+4 . . 48 -INF -1.387E+4 . . 49 -INF -2.065E+4 . . 50 -INF -410.545 . . 51 -INF -536.125 . . 52 -INF -1.959E+4 . . 53 -INF -4.468E+4 . . 54 -INF -1.006E+4 . . 55 -INF -2.008E+4 . . 56 -INF -2.349E+4 . . 57 -INF -2.528E+4 . . 58 -INF -2.331E+4 . . 59 -INF -2.644E+4 . . 60 -INF -2.811E+4 . . ---- 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 -2643.161 . . ---- 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 -3.162 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 -0.030 22 1.204 1.204 1.204 -0.021 23 1.083 1.083 1.083 -0.014 24 0.975 0.975 0.975 -0.010 25 0.877 0.877 0.877 -0.007 26 0.790 0.790 0.790 -0.004 27 0.711 0.711 0.711 -0.003 28 0.640 0.640 0.640 -0.002 29 0.576 0.576 0.576 -0.002 30 0.518 0.518 0.518 -0.001 31 0.466 0.466 0.466 -7.736E-4 32 0.420 0.420 0.420 -5.537E-4 33 0.378 0.378 0.378 -3.969E-4 34 0.340 0.340 0.340 -2.850E-4 35 0.306 0.306 0.306 -2.049E-4 36 0.275 0.275 0.275 -1.476E-4 37 0.248 0.248 0.248 -1.064E-4 38 0.223 0.223 0.223 EPS 39 0.201 0.201 0.201 EPS 40 0.181 0.181 0.181 EPS 41 0.163 0.163 0.163 EPS 42 0.146 0.146 0.146 EPS 43 0.132 0.132 0.132 EPS 44 0.119 0.119 0.119 EPS 45 0.107 0.107 0.107 EPS 46 0.096 0.096 0.096 EPS 47 0.086 0.086 0.086 EPS 48 0.078 0.078 0.078 EPS 49 0.070 0.070 0.070 EPS 50 0.063 0.063 0.063 EPS 51 0.057 0.057 0.057 EPS 52 0.051 0.051 0.051 EPS 53 0.046 0.046 0.046 EPS 54 0.041 0.041 0.041 EPS 55 0.037 0.037 0.037 EPS 56 0.033 0.033 0.033 EPS 57 0.030 0.030 0.030 EPS 58 0.027 0.027 0.027 EPS 59 0.024 0.024 0.024 EPS 60 0.022 0.022 0.022 EPS ---- EQU SEQ Savings rate equation LOWER LEVEL UPPER MARGINAL 1 . . . -1936.030 2 . . . 861.919 3 . . . 1783.438 4 . . . 1899.056 5 . . . 1704.736 6 . . . 1419.984 7 . . . 1136.676 8 . . . 888.848 9 . . . 684.993 10 . . . 523.045 11 . . . 397.278 12 . . . 300.015 13 . . . 225.495 14 . . . 168.760 15 . . . 125.767 16 . . . 93.319 17 . . . 68.961 18 . . . 50.870 19 . . . 37.754 20 . . . 28.829 21 . . . 22.755 22 . . . 17.143 23 . . . 12.912 24 . . . 9.807 25 . . . 7.635 26 . . . 6.304 27 . . . . 28 . . . . 29 . . . . 30 . . . . 31 . . . . 32 . . . . 33 . . . . 34 . . . . 35 . . . . 36 . . . . 37 . . . . 38 . . . . 39 . . . . 40 . . . . 41 . . . . 42 . . . . 43 . . . . 44 . . . . 45 . . . . 46 . . . . 47 . . . . 48 . . . . 49 . . . . 50 . . . . 51 . . . . 52 . . . . 53 . . . . 54 . . . . 55 . . . . 56 . . . . 57 . . . . 58 . . . . 59 . . . . 60 . . . . ---- 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 -162.039 3 0.012 0.012 0.012 -147.993 4 0.048 0.048 0.048 -130.476 5 0.084 0.084 0.084 -112.271 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 -53.399 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 -17.600 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 -5.058 20 0.300 0.300 0.300 -3.865 21 0.300 0.300 0.300 -2.933 22 0.300 0.300 0.300 -2.215 23 0.300 0.300 0.300 -1.672 24 0.300 0.300 0.300 -1.263 25 0.300 0.300 0.300 -0.956 26 0.300 0.300 0.300 -0.726 27 0.300 0.300 0.300 -0.555 28 0.300 0.300 0.300 -0.435 29 0.300 0.300 0.300 -0.341 30 0.300 0.300 0.300 -0.268 31 0.300 0.300 0.300 -0.209 32 0.300 0.300 0.300 -0.163 33 0.300 0.300 0.300 -0.126 34 0.300 0.300 0.300 -0.095 35 0.300 0.300 0.300 -0.070 36 0.300 0.300 0.300 -0.047 37 0.300 0.300 0.300 -0.024 38 0.300 0.300 0.300 . 39 0.300 0.300 0.300 . 40 0.300 0.300 0.300 . 41 0.300 0.300 0.300 . 42 0.300 0.300 0.300 . 43 0.300 0.300 0.300 . 44 0.300 0.300 0.300 . 45 0.300 0.300 0.300 . 46 0.300 0.300 0.300 . 47 0.300 0.300 0.300 . 48 0.300 0.300 0.300 . 49 0.300 0.300 0.300 . 50 0.300 0.300 0.300 . 51 0.300 0.300 0.300 . 52 0.300 0.300 0.300 . 53 0.300 0.300 0.300 . 54 0.300 0.300 0.300 . 55 0.300 0.300 0.300 . 56 0.300 0.300 0.300 . 57 0.300 0.300 0.300 . 58 0.300 0.300 0.300 . 59 0.300 0.300 0.300 . 60 0.300 0.300 0.300 . ---- EQU MMAT0 Starting atmospheric concentration LOWER LEVEL UPPER MARGINAL 1 808.900 808.900 808.900 -2.791 ---- EQU MMAT Atmospheric concentration equation LOWER LEVEL UPPER MARGINAL 2 . . . -3.215 3 . . . -3.162 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 . . . -0.030 23 . . . -0.021 24 . . . -0.014 25 . . . -0.010 26 . . . -0.007 27 . . . -0.004 28 . . . -0.003 29 . . . -0.002 30 . . . -0.002 31 . . . -0.001 32 . . . -7.736E-4 33 . . . -5.537E-4 34 . . . -3.969E-4 35 . . . -2.850E-4 36 . . . -2.049E-4 37 . . . -1.476E-4 38 . . . -1.064E-4 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 MMATAVEQ Average concentrations equation LOWER LEVEL UPPER MARGINAL 1 . . . EPS 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 . . . -0.001 32 . . . -8.352E-4 33 . . . -6.534E-4 34 . . . -5.019E-4 35 . . . -3.711E-4 36 . . . -2.515E-4 37 . . . -1.323E-4 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 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 . . . -0.979 3 . . . -0.787 4 . . . -0.627 5 . . . -0.495 6 . . . -0.389 7 . . . -0.304 8 . . . -0.237 9 . . . -0.185 10 . . . -0.143 11 . . . -0.111 12 . . . -0.086 13 . . . -0.067 14 . . . -0.052 15 . . . -0.040 16 . . . -0.031 17 . . . -0.024 18 . . . -0.018 19 . . . -0.014 20 . . . -0.010 21 . . . -0.007 22 . . . -0.005 23 . . . -0.003 24 . . . -0.002 25 . . . -0.002 26 . . . -0.001 27 . . . -7.399E-4 28 . . . -5.259E-4 29 . . . -3.737E-4 30 . . . -2.651E-4 31 . . . -1.874E-4 32 . . . -1.315E-4 33 . . . -9.109E-5 34 . . . -6.155E-5 35 . . . -3.968E-5 36 . . . -2.317E-5 37 . . . -1.035E-5 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 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 . . . -0.002 9 . . . -0.002 10 . . . -0.001 11 . . . -0.001 12 . . . -8.547E-4 13 . . . -6.486E-4 14 . . . -4.891E-4 15 . . . -3.658E-4 16 . . . -2.708E-4 17 . . . -1.978E-4 18 . . . -1.422E-4 19 . . . -1.003E-4 20 . . . -6.951E-5 21 . . . -4.764E-5 22 . . . -3.275E-5 23 . . . -2.260E-5 24 . . . -1.565E-5 25 . . . -1.088E-5 26 . . . -7.589E-6 27 . . . -5.298E-6 28 . . . -3.670E-6 29 . . . -2.512E-6 30 . . . -1.691E-6 31 . . . -1.110E-6 32 . . . -7.019E-7 33 . . . -4.191E-7 34 . . . -2.279E-7 35 . . . -1.044E-7 36 . . . -3.227E-8 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 TATMEQ Temperature-climate equation for atmosphere LOWER LEVEL UPPER MARGINAL 2 . . . -736.540 3 . . . -672.694 4 . . . -593.072 5 . . . -510.321 6 . . . -431.393 7 . . . -359.761 8 . . . -296.813 9 . . . -242.721 10 . . . -196.981 11 . . . -158.748 12 . . . -127.032 13 . . . -101.066 14 . . . -79.999 15 . . . -63.019 16 . . . -49.400 17 . . . -38.520 18 . . . -29.859 19 . . . -22.989 20 . . . -17.568 21 . . . -13.330 22 . . . -10.068 23 . . . -7.598 24 . . . -5.740 25 . . . -4.345 26 . . . -3.301 27 . . . -2.523 28 . . . -1.979 29 . . . -1.552 30 . . . -1.216 31 . . . -0.951 32 . . . -0.740 33 . . . -0.571 34 . . . -0.433 35 . . . -0.316 36 . . . -0.212 37 . . . -0.110 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 TATM0EQ Initial condition for atmospheric temperature LOWER LEVEL UPPER MARGINAL 1 0.731 0.731 0.731 -763.342 ---- EQU TOCEANEQ Temperature-climate equation for lower oceans LOWER LEVEL UPPER MARGINAL 2 . . . -219.452 3 . . . -184.267 4 . . . -152.762 5 . . . -125.349 6 . . . -101.976 7 . . . -82.349 8 . . . -66.062 9 . . . -52.676 10 . . . -41.764 11 . . . -32.933 12 . . . -25.841 13 . . . -20.180 14 . . . -15.684 15 . . . -12.131 16 . . . -9.338 17 . . . -7.153 18 . . . -5.455 19 . . . -4.145 20 . . . -3.143 21 . . . -2.382 22 . . . -1.808 23 . . . -1.376 24 . . . -1.049 25 . . . -0.803 26 . . . -0.615 27 . . . -0.473 28 . . . -0.360 29 . . . -0.271 30 . . . -0.201 31 . . . -0.145 32 . . . -0.102 33 . . . -0.067 34 . . . -0.041 35 . . . -0.021 36 . . . -0.007 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 TOCEAN0EQ Initial condition for lower ocean temperature LOWER LEVEL UPPER MARGINAL 1 0.007 0.007 0.007 -257.091 ---- 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 0.005 231.404 2 . 0.158 1.000 . 3 . 0.184 1.000 . 4 . 0.211 1.000 . 5 . 0.241 1.000 . 6 . 0.271 1.000 . 7 . 0.303 1.000 . 8 . 0.337 1.000 . 9 . 0.373 1.000 . 10 . 0.410 1.000 . 11 . 0.450 1.000 . 12 . 0.491 1.000 . 13 . 0.536 1.000 . 14 . 0.583 1.000 . 15 . 0.633 1.000 . 16 . 0.687 1.000 . 17 . 0.744 1.000 . 18 . 0.806 1.000 . 19 . 0.873 1.000 . 20 . 0.943 1.000 . 21 . 1.000 1.000 . 22 . 1.000 1.000 . 23 . 1.000 1.000 . 24 . 1.000 1.000 . 25 . 1.000 1.000 . 26 . 1.000 1.000 . 27 . 1.000 1.000 . 28 . 1.000 1.000 . 29 . 1.000 1.000 . 30 . 1.000 1.000 . 31 . 1.000 1.000 . 32 . 1.000 1.000 . 33 . 1.000 1.000 . 34 . 1.000 1.000 . 35 . 1.000 1.000 . 36 . 1.000 1.000 . 37 . 1.000 1.000 . 38 . 1.000 1.000 . 39 . 1.000 1.000 . 40 . 1.000 1.000 . 41 . 1.000 1.000 . 42 . 1.000 1.000 . 43 . 1.000 1.000 . 44 . 1.000 1.000 . 45 . 1.000 1.000 . 46 . 1.000 1.000 . 47 . 1.000 1.000 . 48 . 1.000 1.000 . 49 . 1.000 1.000 . 50 . 0.999 1.000 . 51 . 1.000 1.000 . 52 . 1.000 1.000 . 53 . 1.000 1.000 . 54 . 1.000 1.000 . 55 . 1.000 1.000 . 56 . 1.000 1.000 . 57 . 1.000 1.000 . 58 . 0.997 1.000 . 59 . 0.970 1.000 . 60 . 0.866 1.000 . ---- VAR FORC Radiative forcing in watts per m2 LOWER LEVEL UPPER MARGINAL 1 -INF 1.791 +INF . 2 -INF 2.142 +INF . 3 -INF 2.453 +INF . 4 -INF 2.758 +INF . 5 -INF 3.056 +INF . 6 -INF 3.342 +INF . 7 -INF 3.615 +INF . 8 -INF 3.873 +INF . 9 -INF 4.118 +INF . 10 -INF 4.347 +INF . 11 -INF 4.560 +INF . 12 -INF 4.720 +INF . 13 -INF 4.861 +INF . 14 -INF 4.980 +INF . 15 -INF 5.075 +INF . 16 -INF 5.142 +INF . 17 -INF 5.174 +INF . 18 -INF 5.164 +INF . 19 -INF 5.102 +INF . 20 -INF 4.976 +INF . 21 -INF 4.784 +INF . 22 -INF 4.580 +INF . 23 -INF 4.410 +INF . 24 -INF 4.265 +INF . 25 -INF 4.139 +INF . 26 -INF 4.026 +INF . 27 -INF 3.924 +INF . 28 -INF 3.830 +INF . 29 -INF 3.742 +INF . 30 -INF 3.658 +INF . 31 -INF 3.578 +INF . 32 -INF 3.501 +INF . 33 -INF 3.426 +INF . 34 -INF 3.354 +INF . 35 -INF 3.284 +INF . 36 -INF 3.215 +INF . 37 -INF 3.149 +INF . 38 -INF 3.084 +INF . 39 -INF 3.020 +INF . 40 -INF 2.958 +INF . 41 -INF 2.898 +INF . 42 -INF 2.839 +INF . 43 -INF 2.781 +INF . 44 -INF 2.726 +INF . 45 -INF 2.671 +INF . 46 -INF 2.617 +INF . 47 -INF 2.566 +INF . 48 -INF 2.515 +INF . 49 -INF 2.465 +INF . 50 -INF 2.426 +INF . 51 -INF 2.386 +INF . 52 -INF 2.337 +INF . 53 -INF 2.290 +INF . 54 -INF 2.245 +INF . 55 -INF 2.202 +INF . 56 -INF 2.159 +INF . 57 -INF 2.119 +INF . 58 -INF 2.101 +INF . 59 -INF 2.325 +INF . 60 -INF -1.262 +INF . ---- VAR TATM Temperature of atmosphere in degrees C LOWER LEVEL UPPER MARGINAL 1 . 0.731 20.000 . 2 . 0.951 20.000 . 3 . 1.165 20.000 . 4 . 1.376 20.000 . 5 . 1.584 20.000 . 6 . 1.786 20.000 . 7 . 1.984 20.000 . 8 . 2.175 20.000 . 9 . 2.360 20.000 . 10 . 2.537 20.000 . 11 . 2.706 20.000 . 12 . 2.858 20.000 . 13 . 2.996 20.000 . 14 . 3.119 20.000 . 15 . 3.227 20.000 . 16 . 3.320 20.000 . 17 . 3.395 20.000 . 18 . 3.448 20.000 . 19 . 3.477 20.000 . 20 . 3.474 20.000 . 21 . 3.437 20.000 . 22 . 3.373 20.000 . 23 . 3.300 20.000 . 24 . 3.226 20.000 . 25 . 3.153 20.000 . 26 . 3.086 20.000 . 27 . 3.023 20.000 . 28 . 2.964 20.000 . 29 . 2.909 20.000 . 30 . 2.857 20.000 . 31 . 2.808 20.000 . 32 . 2.760 20.000 . 33 . 2.715 20.000 . 34 . 2.670 20.000 . 35 . 2.627 20.000 . 36 . 2.585 20.000 . 37 . 2.544 20.000 . 38 . 2.503 20.000 . 39 . 2.463 20.000 . 40 . 2.423 20.000 . 41 . 2.384 20.000 . 42 . 2.346 20.000 . 43 . 2.308 20.000 . 44 . 2.270 20.000 . 45 . 2.233 20.000 . 46 . 2.197 20.000 . 47 . 2.161 20.000 . 48 . 2.126 20.000 . 49 . 2.092 20.000 . 50 . 2.059 20.000 . 51 . 2.029 20.000 . 52 . 1.997 20.000 . 53 . 1.965 20.000 . 54 . 1.933 20.000 . 55 . 1.901 20.000 . 56 . 1.870 20.000 . 57 . 1.840 20.000 . 58 . 1.814 20.000 . 59 . 1.846 20.000 . 60 . 1.076 20.000 . ---- VAR TOCEAN Temperatureof lower oceans degrees C LOWER LEVEL UPPER MARGINAL 1 -1.000 0.007 20.000 . 2 -1.000 0.043 20.000 . 3 -1.000 0.088 20.000 . 4 -1.000 0.142 20.000 . 5 -1.000 0.204 20.000 . 6 -1.000 0.273 20.000 . 7 -1.000 0.349 20.000 . 8 -1.000 0.430 20.000 . 9 -1.000 0.518 20.000 . 10 -1.000 0.610 20.000 . 11 -1.000 0.706 20.000 . 12 -1.000 0.806 20.000 . 13 -1.000 0.909 20.000 . 14 -1.000 1.013 20.000 . 15 -1.000 1.118 20.000 . 16 -1.000 1.224 20.000 . 17 -1.000 1.329 20.000 . 18 -1.000 1.432 20.000 . 19 -1.000 1.533 20.000 . 20 -1.000 1.630 20.000 . 21 -1.000 1.722 20.000 . 22 -1.000 1.808 20.000 . 23 -1.000 1.886 20.000 . 24 -1.000 1.957 20.000 . 25 -1.000 2.020 20.000 . 26 -1.000 2.077 20.000 . 27 -1.000 2.127 20.000 . 28 -1.000 2.172 20.000 . 29 -1.000 2.212 20.000 . 30 -1.000 2.247 20.000 . 31 -1.000 2.277 20.000 . 32 -1.000 2.304 20.000 . 33 -1.000 2.326 20.000 . 34 -1.000 2.346 20.000 . 35 -1.000 2.362 20.000 . 36 -1.000 2.375 20.000 . 37 -1.000 2.386 20.000 . 38 -1.000 2.394 20.000 . 39 -1.000 2.399 20.000 . 40 -1.000 2.402 20.000 . 41 -1.000 2.403 20.000 . 42 -1.000 2.402 20.000 . 43 -1.000 2.400 20.000 . 44 -1.000 2.395 20.000 . 45 -1.000 2.389 20.000 . 46 -1.000 2.381 20.000 . 47 -1.000 2.372 20.000 . 48 -1.000 2.361 20.000 . 49 -1.000 2.350 20.000 . 50 -1.000 2.337 20.000 . 51 -1.000 2.323 20.000 . 52 -1.000 2.308 20.000 . 53 -1.000 2.293 20.000 . 54 -1.000 2.276 20.000 . 55 -1.000 2.259 20.000 . 56 -1.000 2.241 20.000 . 57 -1.000 2.223 20.000 . 58 -1.000 2.203 20.000 . 59 -1.000 2.184 20.000 . 60 -1.000 2.167 20.000 . ---- VAR MAT Carbon concentration in atmosphere GtC LOWER LEVEL UPPER MARGINAL 1 10.000 808.900 +INF . 2 10.000 863.108 +INF . 3 10.000 907.615 +INF -2.131E-5 4 10.000 954.046 +INF 4.3432E-5 5 10.000 1001.583 +INF 1.3571E-5 6 10.000 1049.507 +INF 3.3315E-5 7 10.000 1097.239 +INF 5.6574E-5 8 10.000 1144.300 +INF 7.6181E-5 9 10.000 1190.270 +INF 8.4128E-5 10 10.000 1234.726 +INF 7.0613E-5 11 10.000 1277.210 +INF 9.8337E-5 12 10.000 1317.183 +INF 1.0877E-4 13 10.000 1353.975 +INF 1.1760E-4 14 10.000 1386.742 +INF 1.4280E-4 15 10.000 1414.431 +INF 1.6073E-4 16 10.000 1435.743 +INF 1.9765E-4 17 10.000 1449.098 +INF 2.3188E-4 18 10.000 1452.579 +INF 2.6315E-4 19 10.000 1443.855 +INF 3.2407E-4 20 10.000 1420.231 +INF 3.9213E-4 21 10.000 1378.677 +INF 0.001 22 10.000 1323.732 +INF 0.002 23 10.000 1280.012 +INF 5.6993E-4 24 10.000 1244.266 +INF -4.456E-4 25 10.000 1214.234 +INF -9.287E-4 26 10.000 1188.341 +INF -0.001 27 10.000 1165.487 +INF -0.001 28 10.000 1144.904 +INF -0.001 29 10.000 1126.054 +INF -0.001 30 10.000 1108.558 +INF -8.997E-4 31 10.000 1092.148 +INF -7.648E-4 32 10.000 1076.635 +INF -6.390E-4 33 10.000 1061.880 +INF -5.240E-4 34 10.000 1047.786 +INF -4.193E-4 35 10.000 1034.278 +INF -3.220E-4 36 10.000 1021.302 +INF -2.280E-4 37 10.000 1008.815 +INF -1.306E-4 38 10.000 996.784 +INF 4.0275E-5 39 10.000 985.182 +INF EPS 40 10.000 973.987 +INF EPS 41 10.000 963.181 +INF EPS 42 10.000 952.745 +INF EPS 43 10.000 942.665 +INF EPS 44 10.000 932.928 +INF EPS 45 10.000 923.650 +INF EPS 46 10.000 914.573 +INF EPS 47 10.000 905.768 +INF EPS 48 10.000 897.406 +INF EPS 49 10.000 889.167 +INF EPS 50 10.000 881.381 +INF EPS 51 10.000 876.466 +INF EPS 52 10.000 868.600 +INF EPS 53 10.000 861.028 +INF EPS 54 10.000 853.815 +INF EPS 55 10.000 847.014 +INF EPS 56 10.000 840.381 +INF EPS 57 10.000 834.063 +INF EPS 58 10.000 827.925 +INF EPS 59 10.000 828.769 +INF EPS 60 10.000 897.091 +INF EPS ---- VAR MATAV Average concentrations LOWER LEVEL UPPER MARGINAL 1 . 836.004 +INF . 2 . 885.361 +INF . 3 . 930.830 +INF . 4 . 977.814 +INF . 5 . 1025.545 +INF . 6 . 1073.373 +INF . 7 . 1120.769 +INF . 8 . 1167.285 +INF . 9 . 1212.498 +INF . 10 . 1255.968 +INF . 11 . 1297.196 +INF . 12 . 1335.579 +INF . 13 . 1370.359 +INF . 14 . 1400.587 +INF . 15 . 1425.087 +INF . 16 . 1442.420 +INF . 17 . 1450.838 +INF . 18 . 1448.217 +INF . 19 . 1432.043 +INF . 20 . 1399.454 +INF . 21 . 1351.205 +INF . 22 . 1301.872 +INF . 23 . 1262.139 +INF . 24 . 1229.250 +INF . 25 . 1201.288 +INF . 26 . 1176.914 +INF . 27 . 1155.195 +INF . 28 . 1135.479 +INF . 29 . 1117.306 +INF . 30 . 1100.353 +INF . 31 . 1084.391 +INF . 32 . 1069.257 +INF . 33 . 1054.833 +INF . 34 . 1041.032 +INF . 35 . 1027.790 +INF . 36 . 1015.058 +INF . 37 . 1002.799 +INF . 38 . 990.983 +INF . 39 . 979.585 +INF . 40 . 968.584 +INF . 41 . 957.963 +INF . 42 . 947.705 +INF . 43 . 937.797 +INF . 44 . 928.289 +INF . 45 . 919.112 +INF . 46 . 910.170 +INF . 47 . 901.587 +INF . 48 . 893.286 +INF . 49 . 885.274 +INF . 50 . 878.923 +INF . 51 . 872.533 +INF . 52 . 864.814 +INF . 53 . 857.422 +INF . 54 . 850.415 +INF . 55 . 843.697 +INF . 56 . 837.222 +INF . 57 . 830.994 +INF . 58 . 828.347 +INF . 59 . 862.930 +INF . 60 . 448.545 +INF . ---- VAR MU Carbon concentration in shallow oceans Gtc LOWER LEVEL UPPER MARGINAL 1 100.000 1255.000 +INF . 2 100.000 1280.635 +INF . 3 100.000 1312.775 +INF . 4 100.000 1348.628 +INF . 5 100.000 1388.018 +INF . 6 100.000 1430.640 +INF . 7 100.000 1476.095 +INF . 8 100.000 1523.939 +INF . 9 100.000 1573.698 +INF . 10 100.000 1624.892 +INF . 11 100.000 1677.030 +INF . 12 100.000 1729.608 +INF . 13 100.000 1782.094 +INF . 14 100.000 1833.907 +INF . 15 100.000 1884.393 +INF . 16 100.000 1932.792 +INF . 17 100.000 1978.214 +INF . 18 100.000 2019.596 +INF . 19 100.000 2055.672 +INF . 20 100.000 2084.919 +INF . 21 100.000 2105.526 +INF . 22 100.000 2115.376 +INF . 23 100.000 2113.521 +INF . 24 100.000 2103.808 +INF . 25 100.000 2088.905 +INF . 26 100.000 2070.654 +INF . 27 100.000 2050.328 +INF . 28 100.000 2028.806 +INF . 29 100.000 2006.690 +INF . 30 100.000 1984.391 +INF . 31 100.000 1962.189 +INF . 32 100.000 1940.272 +INF . 33 100.000 1918.762 +INF . 34 100.000 1897.741 +INF . 35 100.000 1877.257 +INF . 36 100.000 1857.339 +INF . 37 100.000 1838.000 +INF . 38 100.000 1819.244 +INF . 39 100.000 1801.070 +INF . 40 100.000 1783.468 +INF . 41 100.000 1766.429 +INF . 42 100.000 1749.940 +INF . 43 100.000 1733.987 +INF . 44 100.000 1718.557 +INF . 45 100.000 1703.634 +INF . 46 100.000 1689.228 +INF . 47 100.000 1675.298 +INF . 48 100.000 1661.823 +INF . 49 100.000 1648.818 +INF . 50 100.000 1636.234 +INF . 51 100.000 1624.094 +INF . 52 100.000 1612.872 +INF . 53 100.000 1601.874 +INF . 54 100.000 1591.119 +INF . 55 100.000 1580.638 +INF . 56 100.000 1570.468 +INF . 57 100.000 1560.591 +INF . 58 100.000 1551.024 +INF . 59 100.000 1541.752 +INF . 60 100.000 1534.052 +INF . ---- VAR ML Carbon concentration in lower oceans GtC LOWER LEVEL UPPER MARGINAL 1 1000.000 18365.000 +INF . 2 1000.000 18370.477 +INF . 3 1000.000 18377.219 +INF . 4 1000.000 18385.547 +INF . 5 1000.000 18395.642 +INF . 6 1000.000 18407.675 +INF . 7 1000.000 18421.801 +INF . 8 1000.000 18438.156 +INF . 9 1000.000 18456.852 +INF . 10 1000.000 18477.978 +INF . 11 1000.000 18501.597 +INF . 12 1000.000 18527.750 +INF . 13 1000.000 18556.450 +INF . 14 1000.000 18587.685 +INF . 15 1000.000 18621.414 +INF . 16 1000.000 18657.561 +INF . 17 1000.000 18696.016 +INF . 18 1000.000 18736.621 +INF . 19 1000.000 18779.170 +INF . 20 1000.000 18823.389 +INF . 21 1000.000 18868.933 +INF . 22 1000.000 18915.365 +INF . 23 1000.000 18962.145 +INF . 24 1000.000 19008.686 +INF . 25 1000.000 19054.596 +INF . 26 1000.000 19099.618 +INF . 27 1000.000 19143.587 +INF . 28 1000.000 19186.403 +INF . 29 1000.000 19228.009 +INF . 30 1000.000 19268.379 +INF . 31 1000.000 19307.509 +INF . 32 1000.000 19345.406 +INF . 33 1000.000 19382.090 +INF . 34 1000.000 19417.583 +INF . 35 1000.000 19451.915 +INF . 36 1000.000 19485.116 +INF . 37 1000.000 19517.217 +INF . 38 1000.000 19548.251 +INF . 39 1000.000 19578.250 +INF . 40 1000.000 19607.248 +INF . 41 1000.000 19635.274 +INF . 42 1000.000 19662.362 +INF . 43 1000.000 19688.540 +INF . 44 1000.000 19713.839 +INF . 45 1000.000 19738.288 +INF . 46 1000.000 19761.914 +INF . 47 1000.000 19784.747 +INF . 48 1000.000 19806.811 +INF . 49 1000.000 19828.133 +INF . 50 1000.000 19848.739 +INF . 51 1000.000 19868.651 +INF . 52 1000.000 19887.893 +INF . 53 1000.000 19906.515 +INF . 54 1000.000 19924.529 +INF . 55 1000.000 19941.948 +INF . 56 1000.000 19958.790 +INF . 57 1000.000 19975.070 +INF . 58 1000.000 19990.806 +INF . 59 1000.000 20006.014 +INF . 60 1000.000 20020.712 +INF . ---- VAR E CO2-equivalent emissions GtC LOWER LEVEL UPPER MARGINAL 1 . 85.320 +INF . 2 . 83.388 +INF . 3 . 90.613 +INF . 4 . 97.022 +INF . 5 . 102.578 +INF . 6 . 107.313 +INF . 7 . 111.260 +INF . 8 . 114.425 +INF . 9 . 116.776 +INF . 10 . 118.241 +INF . 11 . 118.704 +INF . 12 . 117.979 +INF . 13 . 115.815 +INF . 14 . 111.903 +INF . 15 . 105.858 +INF . 16 . 97.231 +INF . 17 . 85.469 +INF . 18 . 69.901 +INF . 19 . 49.841 +INF . 20 . 24.597 +INF . 21 . 1.337 +INF . 22 . 1.204 +INF . 23 . 1.083 +INF . 24 . 0.975 +INF . 25 . 0.877 +INF . 26 . 0.790 +INF . 27 . 0.711 +INF . 28 . 0.640 +INF . 29 . 0.576 +INF . 30 . 0.518 +INF . 31 . 0.466 +INF . 32 . 0.420 +INF . 33 . 0.378 +INF . 34 . 0.340 +INF . 35 . 0.306 +INF . 36 . 0.275 +INF . 37 . 0.248 +INF . 38 . 0.223 +INF . 39 . 0.201 +INF . 40 . 0.181 +INF . 41 . 0.163 +INF . 42 . 0.146 +INF . 43 . 0.132 +INF . 44 . 0.248 +INF . 45 . 0.143 +INF . 46 . 0.097 +INF . 47 . 0.228 +INF . 48 . 0.078 +INF . 49 . 0.236 +INF . 50 . 2.856 +INF . 51 . 0.156 +INF . 52 . 0.051 +INF . 53 . 0.046 +INF . 54 . 0.138 +INF . 55 . 0.037 +INF . 56 . 0.087 +INF . 57 . 0.030 +INF . 58 . 6.780 +INF . 59 . 75.319 +INF . 60 . 318.086 +INF EPS ---- VAR C Consumption trillions US dollars LOWER LEVEL UPPER MARGINAL 1 20.000 43.354 +INF . 2 20.000 54.199 +INF . 3 20.000 66.322 +INF . 4 20.000 79.624 +INF . 5 20.000 94.141 +INF . 6 20.000 109.993 +INF . 7 20.000 127.359 +INF . 8 20.000 146.451 +INF . 9 20.000 167.506 +INF . 10 20.000 190.785 +INF . 11 20.000 216.565 +INF . 12 20.000 245.179 +INF . 13 20.000 276.959 +INF . 14 20.000 312.266 +INF . 15 20.000 351.488 +INF . 16 20.000 395.053 +INF . 17 20.000 443.430 +INF . 18 20.000 497.142 +INF . 19 20.000 556.779 +INF . 20 20.000 623.019 +INF . 21 20.000 697.091 +INF . 22 20.000 781.243 +INF . 23 20.000 875.192 +INF . 24 20.000 979.603 +INF . 25 20.000 1095.273 +INF . 26 20.000 1223.122 +INF . 27 20.000 1364.183 +INF 0.001 28 20.000 1519.599 +INF . 29 20.000 1690.619 +INF -6.715E-4 30 20.000 1878.594 +INF -9.357E-4 31 20.000 2084.985 +INF -9.797E-4 32 20.000 2311.359 +INF -9.135E-4 33 20.000 2559.396 +INF -7.999E-4 34 20.000 2830.890 +INF -6.736E-4 35 20.000 3127.760 +INF -5.524E-4 36 20.000 3452.047 +INF -4.445E-4 37 20.000 3805.927 +INF -3.527E-4 38 20.000 4191.714 +INF 8.7897E-4 39 20.000 4611.865 +INF 6.2567E-4 40 20.000 5068.988 +INF 4.4627E-4 41 20.000 5565.849 +INF 3.1894E-4 42 20.000 5964.048 +INF 2.3935E-4 43 20.000 6553.183 +INF 1.7083E-4 44 20.000 7209.357 +INF 1.2162E-4 45 20.000 7333.268 +INF 1.0128E-4 46 20.000 6997.964 +INF 9.5837E-5 47 20.000 7378.409 +INF 7.4283E-5 48 20.000 7794.732 +INF 5.7353E-5 49 20.000 7986.788 +INF 4.7071E-5 50 20.000 6838.197 +INF 5.5329E-5 51 20.000 10312.891 +INF 2.0961E-5 52 20.000 12809.078 +INF 1.1708E-5 53 20.000 12728.573 +INF 1.0216E-5 54 20.000 5366.012 +INF 4.9532E-5 55 20.000 8669.163 +INF 1.6352E-5 56 20.000 9524.176 +INF 1.1674E-5 57 20.000 9693.198 +INF 9.7113E-6 58 20.000 9269.498 +INF 9.1504E-6 59 20.000 9940.323 +INF 6.8563E-6 60 20.000 9588.683 +INF 6.3491E-6 ---- VAR K Capital stock trillions US dollars LOWER LEVEL UPPER MARGINAL 1 100.000 137.000 +INF . 2 100.000 170.053 +INF . 3 100.000 212.167 +INF . 4 100.000 261.043 +INF . 5 100.000 315.604 +INF . 6 100.000 375.572 +INF . 7 100.000 441.194 +INF . 8 100.000 513.056 +INF . 9 100.000 591.961 +INF . 10 100.000 678.860 +INF . 11 100.000 774.818 +INF . 12 100.000 880.990 +INF . 13 100.000 998.715 +INF . 14 100.000 1129.399 +INF . 15 100.000 1274.549 +INF . 16 100.000 1435.787 +INF . 17 100.000 1614.882 +INF . 18 100.000 1813.777 +INF . 19 100.000 2034.623 +INF . 20 100.000 2279.833 +INF . 21 100.000 2552.165 +INF . 22 100.000 2856.043 +INF . 23 100.000 3199.350 +INF . 24 100.000 3584.037 +INF . 25 100.000 4012.661 +INF . 26 100.000 4488.362 +INF . 27 100.000 5014.828 +INF . 28 100.000 5596.261 +INF . 29 100.000 6237.348 +INF . 30 100.000 6943.243 +INF . 31 100.000 7719.561 +INF . 32 100.000 8572.375 +INF . 33 100.000 9508.223 +INF . 34 100.000 10534.124 +INF . 35 100.000 11657.587 +INF . 36 100.000 12886.638 +INF . 37 100.000 14229.838 +INF . 38 100.000 15696.307 +INF . 39 100.000 17295.750 +INF . 40 100.000 19038.483 +INF . 41 100.000 20935.458 +INF . 42 100.000 21271.178 +INF . 43 100.000 23551.600 +INF . 44 100.000 26241.976 +INF . 45 100.000 22566.165 +INF . 46 100.000 15719.622 +INF . 47 100.000 15302.139 +INF . 48 100.000 15025.070 +INF . 49 100.000 13352.705 +INF . 50 100.000 6534.746 +INF . 51 100.000 21155.206 +INF . 52 100.000 35927.884 +INF . 53 100.000 29066.093 +INF . 54 100.000 1351.761 +INF . 55 100.000 5547.719 +INF . 56 100.000 6308.435 +INF . 57 100.000 5570.123 +INF . 58 100.000 4003.955 +INF . 59 100.000 4228.674 +INF . 60 100.000 3066.958 +INF . ---- VAR CPC Per capita consumption thousands US dollars LOWER LEVEL UPPER MARGINAL 1 -INF 6.656 +INF . 2 -INF 7.602 +INF . 3 -INF 8.768 +INF . 4 -INF 10.117 +INF . 5 -INF 11.643 +INF . 6 -INF 13.353 +INF . 7 -INF 15.263 +INF . 8 -INF 17.393 +INF . 9 -INF 19.769 +INF . 10 -INF 22.417 +INF . 11 -INF 25.368 +INF . 12 -INF 28.657 +INF . 13 -INF 32.322 +INF . 14 -INF 36.403 +INF . 15 -INF 40.945 +INF . 16 -INF 45.995 +INF . 17 -INF 51.608 +INF . 18 -INF 57.844 +INF . 19 -INF 64.771 +INF . 20 -INF 72.467 +INF . 21 -INF 81.075 +INF . 22 -INF 90.856 +INF . 23 -INF 101.778 +INF . 24 -INF 113.916 +INF . 25 -INF 127.364 +INF . 26 -INF 142.229 +INF . 27 -INF 158.630 +INF . 28 -INF 176.701 +INF . 29 -INF 196.586 +INF . 30 -INF 218.443 +INF . 31 -INF 242.442 +INF . 32 -INF 268.764 +INF . 33 -INF 297.605 +INF . 34 -INF 329.174 +INF . 35 -INF 363.694 +INF . 36 -INF 401.401 +INF . 37 -INF 442.550 +INF . 38 -INF 487.409 +INF . 39 -INF 536.264 +INF . 40 -INF 589.417 +INF . 41 -INF 647.192 +INF . 42 -INF 693.494 +INF . 43 -INF 761.998 +INF . 44 -INF 838.297 +INF . 45 -INF 852.706 +INF . 46 -INF 813.717 +INF . 47 -INF 857.955 +INF . 48 -INF 906.364 +INF . 49 -INF 928.696 +INF . 50 -INF 795.139 +INF . 51 -INF 1199.173 +INF . 52 -INF 1489.428 +INF . 53 -INF 1480.067 +INF . 54 -INF 623.955 +INF . 55 -INF 1008.042 +INF . 56 -INF 1107.462 +INF . 57 -INF 1127.116 +INF . 58 -INF 1077.849 +INF . 59 -INF 1155.852 +INF . 60 -INF 1114.963 +INF . ---- VAR PCY Per capita income thousands US dollars LOWER LEVEL UPPER MARGINAL 1 -INF 8.533 +INF . 2 -INF 9.746 +INF . 3 -INF 11.241 +INF . 4 -INF 12.971 +INF . 5 -INF 14.927 +INF . 6 -INF 17.119 +INF . 7 -INF 19.567 +INF . 8 -INF 22.299 +INF . 9 -INF 25.345 +INF . 10 -INF 28.740 +INF . 11 -INF 32.523 +INF . 12 -INF 36.740 +INF . 13 -INF 41.439 +INF . 14 -INF 46.671 +INF . 15 -INF 52.493 +INF . 16 -INF 58.968 +INF . 17 -INF 66.164 +INF . 18 -INF 74.159 +INF . 19 -INF 83.039 +INF . 20 -INF 92.906 +INF . 21 -INF 103.942 +INF . 22 -INF 116.483 +INF . 23 -INF 130.484 +INF . 24 -INF 146.046 +INF . 25 -INF 163.288 +INF . 26 -INF 182.345 +INF . 27 -INF 203.372 +INF . 28 -INF 226.540 +INF . 29 -INF 252.034 +INF . 30 -INF 280.055 +INF . 31 -INF 310.823 +INF . 32 -INF 344.569 +INF . 33 -INF 381.545 +INF . 34 -INF 422.018 +INF . 35 -INF 466.274 +INF . 36 -INF 514.617 +INF . 37 -INF 567.372 +INF . 38 -INF 624.883 +INF . 39 -INF 687.517 +INF . 40 -INF 755.663 +INF . 41 -INF 829.733 +INF . 42 -INF 889.095 +INF . 43 -INF 976.921 +INF . 44 -INF 1074.740 +INF . 45 -INF 1093.212 +INF . 46 -INF 1043.227 +INF . 47 -INF 1099.942 +INF . 48 -INF 1162.005 +INF . 49 -INF 1190.636 +INF . 50 -INF 1019.409 +INF . 51 -INF 1537.402 +INF . 52 -INF 1909.523 +INF . 53 -INF 1897.521 +INF . 54 -INF 799.942 +INF . 55 -INF 1292.362 +INF . 56 -INF 1419.824 +INF . 57 -INF 1445.021 +INF . 58 -INF 1381.857 +INF . 59 -INF 1481.861 +INF . 60 -INF 1429.440 +INF . ---- VAR I Investment trillions US dollars LOWER LEVEL UPPER MARGINAL 1 . 12.228 +INF . 2 . 15.287 +INF . 3 . 18.707 +INF . 4 . 22.458 +INF . 5 . 26.553 +INF . 6 . 31.024 +INF . 7 . 35.922 +INF . 8 . 41.307 +INF . 9 . 47.246 +INF . 10 . 53.811 +INF . 11 . 61.083 +INF . 12 . 69.153 +INF . 13 . 78.117 +INF . 14 . 88.075 +INF . 15 . 99.138 +INF . 16 . 111.425 +INF . 17 . 125.070 +INF . 18 . 140.220 +INF . 19 . 157.040 +INF . 20 . 175.724 +INF . 21 . 196.616 +INF . 22 . 220.351 +INF . 23 . 246.849 +INF . 24 . 276.298 +INF . 25 . 308.923 +INF . 26 . 344.983 +INF . 27 . 384.770 +INF . 28 . 428.605 +INF . 29 . 476.841 +INF . 30 . 529.860 +INF . 31 . 588.073 +INF . 32 . 651.922 +INF . 33 . 721.881 +INF . 34 . 798.457 +INF . 35 . 882.189 +INF . 36 . 973.655 +INF . 37 . 1073.467 +INF . 38 . 1182.279 +INF . 39 . 1300.783 +INF . 40 . 1429.715 +INF . 41 . 1569.855 +INF . 42 . 1682.168 +INF . 43 . 1848.334 +INF . 44 . 2033.409 +INF . 45 . 2068.358 +INF . 46 . 1973.785 +INF . 47 . 2081.090 +INF . 48 . 2198.515 +INF . 49 . 2252.684 +INF . 50 . 1928.723 +INF . 51 . 2908.765 +INF . 52 . 3612.817 +INF . 53 . 3590.110 +INF . 54 . 1513.491 +INF . 55 . 2445.149 +INF . 56 . 2686.306 +INF . 57 . 2733.979 +INF . 58 . 2614.474 +INF . 59 . 2803.681 +INF . 60 . 2704.501 +INF . ---- VAR S Gross savings rate as fraction of gross world product LOWER LEVEL UPPER MARGINAL 1 0.220 0.220 0.220 1936.030 2 0.220 0.220 0.220 -861.919 3 0.220 0.220 0.220 -1783.438 4 0.220 0.220 0.220 -1899.056 5 0.220 0.220 0.220 -1704.736 6 0.220 0.220 0.220 -1419.984 7 0.220 0.220 0.220 -1136.676 8 0.220 0.220 0.220 -888.848 9 0.220 0.220 0.220 -684.993 10 0.220 0.220 0.220 -523.045 11 0.220 0.220 0.220 -397.278 12 0.220 0.220 0.220 -300.015 13 0.220 0.220 0.220 -225.495 14 0.220 0.220 0.220 -168.760 15 0.220 0.220 0.220 -125.767 16 0.220 0.220 0.220 -93.319 17 0.220 0.220 0.220 -68.961 18 0.220 0.220 0.220 -50.870 19 0.220 0.220 0.220 -37.754 20 0.220 0.220 0.220 -28.829 21 0.220 0.220 0.220 -22.755 22 0.220 0.220 0.220 -17.143 23 0.220 0.220 0.220 -12.912 24 0.220 0.220 0.220 -9.807 25 0.220 0.220 0.220 -7.635 26 0.220 0.220 0.220 -6.304 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 . 2 -INF 0.057 +INF . 3 -INF 0.055 +INF . 4 -INF 0.052 +INF . 5 -INF 0.050 +INF . 6 -INF 0.048 +INF . 7 -INF 0.046 +INF . 8 -INF 0.045 +INF . 9 -INF 0.044 +INF . 10 -INF 0.043 +INF . 11 -INF 0.042 +INF . 12 -INF 0.042 +INF . 13 -INF 0.042 +INF . 14 -INF 0.041 +INF . 15 -INF 0.041 +INF . 16 -INF 0.041 +INF . 17 -INF 0.040 +INF . 18 -INF 0.040 +INF . 19 -INF 0.040 +INF . 20 -INF 0.040 +INF . 21 -INF 0.040 +INF . 22 -INF 0.040 +INF . 23 -INF 0.040 +INF . 24 -INF 0.040 +INF . 25 -INF 0.040 +INF . 26 -INF 0.040 +INF . 27 -INF 0.039 +INF . 28 -INF 0.039 +INF . 29 -INF 0.039 +INF . 30 -INF 0.039 +INF . 31 -INF 0.039 +INF . 32 -INF 0.039 +INF . 33 -INF 0.038 +INF . 34 -INF 0.038 +INF . 35 -INF 0.038 +INF . 36 -INF 0.038 +INF . 37 -INF 0.038 +INF . 38 -INF 0.038 +INF . 39 -INF 0.037 +INF . 40 -INF 0.037 +INF . 41 -INF 0.037 +INF . 42 -INF 0.043 +INF . 43 -INF 0.042 +INF . 44 -INF 0.041 +INF . 45 -INF 0.060 +INF . 46 -INF 0.106 +INF . 47 -INF 0.120 +INF . 48 -INF 0.134 +INF . 49 -INF 0.165 +INF . 50 -INF 0.337 +INF . 51 -INF 0.122 +INF . 52 -INF 0.072 +INF . 53 -INF 0.103 +INF . 54 -INF 1.462 +INF . 55 -INF 0.536 +INF . 56 -INF 0.516 +INF . 57 -INF 0.604 +INF . 58 -INF 0.825 +INF . 59 -INF 0.839 +INF . 60 -INF 1.137 +INF . ---- VAR Y Gross world product net of abatement and damages LOWER LEVEL UPPER MARGINAL 1 . 55.583 +INF . 2 . 69.487 +INF . 3 . 85.029 +INF . 4 . 102.082 +INF . 5 . 120.693 +INF . 6 . 141.017 +INF . 7 . 163.281 +INF . 8 . 187.758 +INF . 9 . 214.752 +INF . 10 . 244.596 +INF . 11 . 277.648 +INF . 12 . 314.332 +INF . 13 . 355.076 +INF . 14 . 400.341 +INF . 15 . 450.626 +INF . 16 . 506.478 +INF . 17 . 568.500 +INF . 18 . 637.362 +INF . 19 . 713.819 +INF . 20 . 798.743 +INF . 21 . 893.707 +INF . 22 . 1001.594 +INF . 23 . 1122.041 +INF . 24 . 1255.901 +INF . 25 . 1404.196 +INF . 26 . 1568.105 +INF . 27 . 1748.953 +INF . 28 . 1948.205 +INF . 29 . 2167.460 +INF . 30 . 2408.454 +INF . 31 . 2673.058 +INF . 32 . 2963.281 +INF . 33 . 3281.277 +INF . 34 . 3629.347 +INF . 35 . 4009.948 +INF . 36 . 4425.701 +INF . 37 . 4879.394 +INF . 38 . 5373.993 +INF EPS 39 . 5912.648 +INF EPS 40 . 6498.703 +INF EPS 41 . 7135.704 +INF EPS 42 . 7646.216 +INF EPS 43 . 8401.517 +INF EPS 44 . 9242.765 +INF EPS 45 . 9401.626 +INF EPS 46 . 8971.749 +INF EPS 47 . 9459.499 +INF EPS 48 . 9993.247 +INF EPS 49 . 10239.473 +INF EPS 50 . 8766.920 +INF EPS 51 . 13221.656 +INF EPS 52 . 16421.895 +INF EPS 53 . 16318.683 +INF EPS 54 . 6879.503 +INF EPS 55 . 11114.311 +INF EPS 56 . 12210.482 +INF EPS 57 . 12427.177 +INF EPS 58 . 11883.972 +INF EPS 59 . 12744.004 +INF EPS 60 . 12293.184 +INF EPS ---- VAR YGROSS Gross world product GROSS of abatement and damages LOWER LEVEL UPPER MARGINAL 1 . 55.667 +INF . 2 . 69.685 +INF . 3 . 85.391 +INF . 4 . 102.688 +INF . 5 . 121.641 +INF . 6 . 142.428 +INF . 7 . 165.301 +INF . 8 . 190.559 +INF . 9 . 218.540 +INF . 10 . 249.611 +INF . 11 . 284.167 +INF . 12 . 322.636 +INF . 13 . 365.489 +INF . 14 . 413.229 +INF . 15 . 466.398 +INF . 16 . 525.584 +INF . 17 . 591.425 +INF . 18 . 664.613 +INF . 19 . 745.907 +INF . 20 . 836.134 +INF . 21 . 936.206 +INF . 22 . 1047.269 +INF . 23 . 1170.899 +INF . 24 . 1308.075 +INF . 25 . 1459.900 +INF . 26 . 1627.608 +INF . 27 . 1812.558 +INF . 28 . 2016.237 +INF . 29 . 2240.262 +INF . 30 . 2486.379 +INF . 31 . 2756.469 +INF . 32 . 3052.549 +INF . 33 . 3376.782 +INF . 34 . 3731.479 +INF . 35 . 4119.106 +INF . 36 . 4542.293 +INF . 37 . 5003.839 +INF . 38 . 5506.723 +INF -0.002 39 . 6054.108 +INF EPS 40 . 6649.350 +INF EPS 41 . 7296.009 +INF EPS 42 . 7812.720 +INF EPS 43 . 8578.891 +INF EPS 44 . 9431.990 +INF EPS 45 . 9588.332 +INF EPS 46 . 9144.602 +INF EPS 47 . 9636.340 +INF EPS 48 . 10174.581 +INF EPS 49 . 10419.841 +INF EPS 50 . 8916.904 +INF EPS 51 . 13442.037 +INF EPS 52 . 16688.057 +INF EPS 53 . 16575.757 +INF EPS 54 . 6984.830 +INF EPS 55 . 11279.728 +INF EPS 56 . 12387.166 +INF EPS 57 . 12602.054 +INF EPS 58 . 12046.834 +INF EPS 59 . 12917.904 +INF EPS 60 . 12368.320 +INF EPS ---- VAR YNET Output net of damages equation LOWER LEVEL UPPER MARGINAL 1 -INF 55.583 +INF . 2 -INF 69.507 +INF . 3 -INF 85.063 +INF . 4 -INF 102.139 +INF . 5 -INF 120.781 +INF . 6 -INF 141.149 +INF . 7 -INF 163.474 +INF . 8 -INF 188.034 +INF . 9 -INF 215.139 +INF . 10 -INF 245.132 +INF . 11 -INF 278.380 +INF . 12 -INF 315.323 +INF . 13 -INF 356.409 +INF . 14 -INF 402.124 +INF . 15 -INF 453.003 +INF . 16 -INF 509.637 +INF . 17 -INF 572.690 +INF . 18 -INF 642.911 +INF . 19 -INF 721.160 +INF . 20 -INF 808.431 +INF . 21 -INF 905.832 +INF . 22 -INF 1014.494 +INF . 23 -INF 1135.782 +INF . 24 -INF 1270.549 +INF . 25 -INF 1419.818 +INF . 26 -INF 1584.770 +INF . 27 -INF 1766.735 +INF . 28 -INF 1967.181 +INF . 29 -INF 2187.714 +INF . 30 -INF 2430.074 +INF . 31 -INF 2696.137 +INF . 32 -INF 2987.921 +INF . 33 -INF 3307.584 +INF . 34 -INF 3657.436 +INF . 35 -INF 4039.942 +INF . 36 -INF 4457.730 +INF . 37 -INF 4913.595 +INF . 38 -INF 5410.513 +INF . 39 -INF 5951.644 +INF . 40 -INF 6540.342 +INF . 41 -INF 7180.160 +INF . 42 -INF 7692.579 +INF . 43 -INF 8451.141 +INF . 44 -INF 9295.982 +INF . 45 -INF 9454.450 +INF . 46 -INF 9020.976 +INF . 47 -INF 9510.214 +INF . 48 -INF 10045.655 +INF . 49 -INF 10292.019 +INF . 50 -INF 8810.815 +INF . 51 -INF 13286.790 +INF . 52 -INF 16501.241 +INF . 53 -INF 16396.058 +INF . 54 -INF 6911.526 +INF . 55 -INF 11165.152 +INF . 56 -INF 12265.389 +INF . 57 -INF 12482.145 +INF . 58 -INF 11935.289 +INF . 59 -INF 12794.130 +INF . 60 -INF 12327.780 +INF . ---- VAR DAMAGES Damages LOWER LEVEL UPPER MARGINAL 1 -INF 0.084 +INF . 2 -INF 0.178 +INF . 3 -INF 0.328 +INF . 4 -INF 0.549 +INF . 5 -INF 0.860 +INF . 6 -INF 1.279 +INF . 7 -INF 1.827 +INF . 8 -INF 2.526 +INF . 9 -INF 3.401 +INF . 10 -INF 4.479 +INF . 11 -INF 5.787 +INF . 12 -INF 7.313 +INF . 13 -INF 9.080 +INF . 14 -INF 11.104 +INF . 15 -INF 13.394 +INF . 16 -INF 15.946 +INF . 17 -INF 18.735 +INF . 18 -INF 21.702 +INF . 19 -INF 24.747 +INF . 20 -INF 27.702 +INF . 21 -INF 30.373 +INF . 22 -INF 32.774 +INF . 23 -INF 35.116 +INF . 24 -INF 37.525 +INF . 25 -INF 40.082 +INF . 26 -INF 42.838 +INF . 27 -INF 45.823 +INF . 28 -INF 49.056 +INF . 29 -INF 52.548 +INF . 30 -INF 56.305 +INF . 31 -INF 60.331 +INF . 32 -INF 64.628 +INF . 33 -INF 69.198 +INF . 34 -INF 74.042 +INF . 35 -INF 79.163 +INF . 36 -INF 84.563 +INF . 37 -INF 90.244 +INF . 38 -INF 96.210 +INF . 39 -INF 102.464 +INF . 40 -INF 109.009 +INF . 41 -INF 115.849 +INF . 42 -INF 120.141 +INF . 43 -INF 127.750 +INF . 44 -INF 136.008 +INF . 45 -INF 133.882 +INF . 46 -INF 123.625 +INF . 47 -INF 126.126 +INF . 48 -INF 128.926 +INF . 49 -INF 127.822 +INF . 50 -INF 106.089 +INF . 51 -INF 155.247 +INF . 52 -INF 186.816 +INF . 53 -INF 179.699 +INF . 54 -INF 73.303 +INF . 55 -INF 114.576 +INF . 56 -INF 121.778 +INF . 57 -INF 119.909 +INF . 58 -INF 111.545 +INF . 59 -INF 123.774 +INF . 60 -INF 40.540 +INF . ---- VAR ABATECOST Cost of emissions reductions LOWER LEVEL UPPER MARGINAL 1 -INF 1.3292E-5 +INF . 2 -INF 0.020 +INF . 3 -INF 0.035 +INF . 4 -INF 0.057 +INF . 5 -INF 0.088 +INF . 6 -INF 0.133 +INF . 7 -INF 0.195 +INF . 8 -INF 0.279 +INF . 9 -INF 0.393 +INF . 10 -INF 0.545 +INF . 11 -INF 0.747 +INF . 12 -INF 1.014 +INF . 13 -INF 1.367 +INF . 14 -INF 1.833 +INF . 15 -INF 2.448 +INF . 16 -INF 3.258 +INF . 17 -INF 4.327 +INF . 18 -INF 5.737 +INF . 19 -INF 7.593 +INF . 20 -INF 10.021 +INF . 21 -INF 12.532 +INF . 22 -INF 13.317 +INF . 23 -INF 14.166 +INF . 24 -INF 15.081 +INF . 25 -INF 16.063 +INF . 26 -INF 17.116 +INF . 27 -INF 18.243 +INF . 28 -INF 19.450 +INF . 29 -INF 20.740 +INF . 30 -INF 22.120 +INF . 31 -INF 23.595 +INF . 32 -INF 25.172 +INF . 33 -INF 26.858 +INF . 34 -INF 28.658 +INF . 35 -INF 30.582 +INF . 36 -INF 32.636 +INF . 37 -INF 34.829 +INF . 38 -INF 37.170 +INF . 39 -INF 39.668 +INF . 40 -INF 42.332 +INF . 41 -INF 45.174 +INF . 42 -INF 47.087 +INF . 43 -INF 50.374 +INF . 44 -INF 53.995 +INF . 45 -INF 53.572 +INF . 46 -INF 49.902 +INF . 47 -INF 51.388 +INF . 48 -INF 53.081 +INF . 49 -INF 53.199 +INF . 50 -INF 44.424 +INF . 51 -INF 65.895 +INF . 52 -INF 80.245 +INF . 53 -INF 78.223 +INF . 54 -INF 32.363 +INF . 55 -INF 51.363 +INF . 56 -INF 55.451 +INF . 57 -INF 55.496 +INF . 58 -INF 51.797 +INF . 59 -INF 50.611 +INF . 60 -INF 34.710 +INF . ---- VAR CCA Cumulative industrial carbon emissions GTC LOWER LEVEL UPPER MARGINAL 1 . . 6000.000 . 2 . 85.320 6000.000 . 3 . 168.709 6000.000 EPS 4 . 259.321 6000.000 . 5 . 356.343 6000.000 . 6 . 458.921 6000.000 . 7 . 566.235 6000.000 . 8 . 677.495 6000.000 . 9 . 791.919 6000.000 . 10 . 908.696 6000.000 . 11 . 1026.937 6000.000 . 12 . 1145.641 6000.000 EPS 13 . 1263.620 6000.000 . 14 . 1379.435 6000.000 . 15 . 1491.338 6000.000 EPS 16 . 1597.196 6000.000 . 17 . 1694.427 6000.000 EPS 18 . 1779.896 6000.000 . 19 . 1849.797 6000.000 EPS 20 . 1899.639 6000.000 . 21 . 1924.236 6000.000 . 22 . 1925.573 6000.000 . 23 . 1926.777 6000.000 . 24 . 1927.860 6000.000 EPS 25 . 1928.835 6000.000 . 26 . 1929.712 6000.000 EPS 27 . 1930.502 6000.000 . 28 . 1931.213 6000.000 . 29 . 1931.853 6000.000 EPS 30 . 1932.428 6000.000 . 31 . 1932.946 6000.000 EPS 32 . 1933.413 6000.000 . 33 . 1933.832 6000.000 EPS 34 . 1934.210 6000.000 . 35 . 1934.550 6000.000 . 36 . 1934.856 6000.000 . 37 . 1935.131 6000.000 . 38 . 1935.379 6000.000 EPS 39 . 1935.602 6000.000 . 40 . 1935.803 6000.000 . 41 . 1935.983 6000.000 EPS 42 . 1936.146 6000.000 . 43 . 1936.292 6000.000 . 44 . 1936.424 6000.000 . 45 . 1936.672 6000.000 . 46 . 1936.815 6000.000 . 47 . 1936.912 6000.000 EPS 48 . 1937.140 6000.000 . 49 . 1937.218 6000.000 . 50 . 1937.454 6000.000 . 51 . 1940.310 6000.000 . 52 . 1940.466 6000.000 . 53 . 1940.517 6000.000 . 54 . 1940.563 6000.000 . 55 . 1940.701 6000.000 EPS 56 . 1940.738 6000.000 . 57 . 1940.825 6000.000 . 58 . 1940.855 6000.000 EPS 59 . 1947.635 6000.000 EPS 60 . 2022.954 6000.000 . ---- VAR PERIODU One period utility function LOWER LEVEL UPPER MARGINAL 1 -INF -149.250 +INF . 2 -INF -130.552 +INF . 3 -INF -113.051 +INF . 4 -INF -97.840 +INF . 5 -INF -84.889 +INF . 6 -INF -73.891 +INF . 7 -INF -64.520 +INF . 8 -INF -56.494 +INF . 9 -INF -49.584 +INF . 10 -INF -43.608 +INF . 11 -INF -38.420 +INF . 12 -INF -33.895 +INF . 13 -INF -29.939 +INF . 14 -INF -26.470 +INF . 15 -INF -23.423 +INF . 16 -INF -20.742 +INF . 17 -INF -18.377 +INF . 18 -INF -16.288 +INF . 19 -INF -14.439 +INF . 20 -INF -12.799 +INF . 21 -INF -11.334 +INF . 22 -INF -10.006 +INF . 23 -INF -8.825 +INF . 24 -INF -7.778 +INF . 25 -INF -6.851 +INF . 26 -INF -6.031 +INF . 27 -INF -5.304 +INF . 28 -INF -4.659 +INF . 29 -INF -4.087 +INF . 30 -INF -3.578 +INF . 31 -INF -3.125 +INF . 32 -INF -2.721 +INF . 33 -INF -2.360 +INF . 34 -INF -2.038 +INF . 35 -INF -1.750 +INF . 36 -INF -1.491 +INF . 37 -INF -1.260 +INF . 38 -INF -1.052 +INF . 39 -INF -0.865 +INF . 40 -INF -0.697 +INF . 41 -INF -0.545 +INF . 42 -INF -0.442 +INF . 43 -INF -0.312 +INF . 44 -INF -0.193 +INF . 45 -INF -0.173 +INF . 46 -INF -0.229 +INF . 47 -INF -0.166 +INF . 48 -INF -0.103 +INF . 49 -INF -0.077 +INF . 50 -INF -0.258 +INF . 51 -INF 0.166 +INF . 52 -INF 0.329 +INF . 53 -INF 0.324 +INF . 54 -INF -0.603 +INF . 55 -INF 0.008 +INF . 56 -INF 0.097 +INF . 57 -INF 0.113 +INF . 58 -INF 0.072 +INF . 59 -INF 0.135 +INF . 60 -INF 0.103 +INF . 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 00:00:31 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 = 0.003 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 00:00:31 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 SNOPT FROM LINE 311 **** SOLVER STATUS 1 Normal Completion **** MODEL STATUS 2 Locally Optimal **** OBJECTIVE VALUE 150163.1753 RESOURCE USAGE, LIMIT 0.023 99999.000 ITERATION COUNT, LIMIT 123 99900 EVALUATION ERRORS 0 0 SNOPT 7.2-4 Jul 14, 2011 23.7.1 LEX 26789.26792 LEG x86_64/Linux GAMS/SNOPT, Large Scale Nonlinear SQP Solver S N O P T 7.2-4 (June 2006) P. E. Gill, UC San Diego W. Murray and M. A. Saunders, Stanford University Work space allocated -- 3.25 Mb EXIT - Optimal Solution found, objective: 150163.2 ---- EQU CCTFIRST First period cumulative carbon LOWER LEVEL UPPER MARGINAL 1 . . . EPS ---- EQU CCACCA Cumulative carbon emissions LOWER LEVEL UPPER MARGINAL 2 . . . . 3 . . . EPS 4 . . . EPS 5 . . . EPS 6 . . . EPS 7 . . . EPS 8 . . . EPS 9 . . . EPS 10 . . . EPS 11 . . . . 12 . . . EPS 13 . . . EPS 14 . . . . 15 . . . EPS 16 . . . . 17 . . . EPS 18 . . . . 19 . . . EPS 20 . . . EPS 21 . . . EPS 22 . . . EPS 23 . . . . 24 . . . EPS 25 . . . . 26 . . . EPS 27 . . . EPS 28 . . . . 29 . . . EPS 30 . . . . 31 . . . EPS 32 . . . . 33 . . . EPS 34 . . . EPS 35 . . . EPS 36 . . . EPS 37 . . . . 38 . . . EPS 39 . . . EPS 40 . . . . 41 . . . EPS 42 . . . EPS 43 . . . EPS 44 . . . EPS 45 . . . EPS 46 . . . . 47 . . . EPS 48 . . . EPS 49 . . . EPS 50 . . . EPS 51 . . . EPS 52 . . . EPS 53 . . . EPS 54 . . . . 55 . . . EPS 56 . . . EPS 57 . . . . 58 . . . EPS 59 . . . . 60 . . . EPS 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 . . . 0.185 24 . . . 0.127 25 . . . 0.087 26 . . . 0.058 27 . . . 0.042 28 . . . 0.029 29 . . . 0.020 30 . . . 0.014 31 . . . 0.010 32 . . . 0.007 33 . . . 0.005 34 . . . 0.004 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 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 . . . 0.122 25 . . . 0.084 26 . . . 0.056 27 . . . 0.041 28 . . . 0.028 29 . . . 0.020 30 . . . 0.014 31 . . . 0.010 32 . . . 0.007 33 . . . 0.005 34 . . . 0.004 35 . . . 0.004 36 . 1.3480E-8 . . 37 . . . . 38 . . . . 39 . . . . 40 . . . EPS 41 . . . . 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 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 . . . 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 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 . . . 0.058 27 . . . 0.043 28 . . . 0.030 29 . . . 0.021 30 . . . 0.014 31 . . . 0.010 32 . . . 0.007 33 . . . 0.005 34 . . . 0.004 35 . . . -2.803E-9 36 . . . -9.76E-10 37 . . . -3.36E-10 38 . . . -1.04E-10 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 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 . . 0.001 32 -INF . . 7.2695E-4 33 -INF . . 5.2527E-4 34 -INF . . 3.8000E-4 35 -INF . . -2.80E-10 36 -INF . . -9.76E-11 37 -INF . . -3.36E-11 38 -INF . . -1.04E-11 39 -INF . . . 40 -INF . . EPS 41 -INF -1727.116 . . 42 -INF -686.878 . . 43 -INF -453.299 . . 44 -INF -6917.932 . . 45 -INF -1.283E+4 . . 46 -INF -9916.803 . . 47 -INF -1.112E+4 . . 48 -INF -1.387E+4 . . 49 -INF -2.065E+4 . . 50 -INF -410.545 . . 51 -INF -536.125 . . 52 -INF -1.959E+4 . . 53 -INF -4.468E+4 . . 54 -INF -1.006E+4 . . 55 -INF -2.008E+4 . . 56 -INF -2.349E+4 . . 57 -INF -2.528E+4 . . 58 -INF -2.331E+4 . . 59 -INF -2.644E+4 . . 60 -INF -2.811E+4 . . ---- 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 -2643.161 . . ---- 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 -3.162 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 -0.030 22 1.204 1.204 1.204 -0.021 23 1.083 1.083 1.083 -0.014 24 0.975 0.975 0.975 -0.010 25 0.877 0.877 0.877 -0.006 26 0.790 0.790 0.790 -0.004 27 0.711 0.711 0.711 -0.003 28 0.640 0.640 0.640 -0.002 29 0.576 0.576 0.576 -0.001 30 0.518 0.518 0.518 -0.001 31 0.466 0.466 0.466 -7.050E-4 32 0.420 0.420 0.420 -5.046E-4 33 0.378 0.378 0.378 -3.618E-4 34 0.340 0.340 0.340 -2.597E-4 35 0.306 0.306 0.306 EPS 36 0.275 0.275 0.275 EPS 37 0.248 0.248 0.248 EPS 38 0.223 0.223 0.223 EPS 39 0.201 0.201 0.201 EPS 40 0.181 0.181 0.181 EPS 41 0.163 0.163 0.163 EPS 42 0.146 0.146 0.146 EPS 43 0.132 0.132 0.132 EPS 44 0.119 0.119 0.119 EPS 45 0.107 0.107 0.107 EPS 46 0.096 0.096 0.096 EPS 47 0.086 0.086 0.086 EPS 48 0.078 0.078 0.078 EPS 49 0.070 0.070 0.070 EPS 50 0.063 0.063 0.063 EPS 51 0.057 0.057 0.057 EPS 52 0.051 0.051 0.051 EPS 53 0.046 0.046 0.046 EPS 54 0.041 0.041 0.041 EPS 55 0.037 0.037 0.037 EPS 56 0.033 0.033 0.033 EPS 57 0.030 0.030 0.030 EPS 58 0.027 0.027 0.027 EPS 59 0.024 0.024 0.024 EPS 60 0.022 0.022 0.022 EPS ---- EQU SEQ Savings rate equation LOWER LEVEL UPPER MARGINAL 1 . . . -1936.030 2 . . . 861.919 3 . . . 1783.438 4 . . . 1899.056 5 . . . 1704.736 6 . . . 1419.984 7 . . . 1136.676 8 . . . 888.849 9 . . . 684.995 10 . . . 523.049 11 . . . 397.283 12 . . . 300.024 13 . . . 225.505 14 . . . 168.771 15 . . . 125.778 16 . . . 93.333 17 . . . 68.981 18 . . . 50.905 19 . . . 37.820 20 . . . 28.955 21 . . . 22.997 22 . . . 17.608 23 . . . 13.808 24 . . . 11.535 25 . . . 10.970 26 . . . . 27 . . . 3.894 28 . . . 2.807 29 . . . 1.896 30 . . . 1.019 31 . . . . 32 . . . . 33 . . . . 34 . . . . 35 . . . . 36 . . . . 37 . . . . 38 . . . . 39 . . . . 40 . . . . 41 . . . . 42 . . . . 43 . . . . 44 . . . . 45 . . . . 46 . . . . 47 . . . . 48 . . . . 49 . . . . 50 . . . . 51 . . . . 52 . . . . 53 . . . . 54 . . . . 55 . . . . 56 . . . . 57 . . . . 58 . . . . 59 . . . . 60 . . . . ---- 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 -162.037 3 0.012 0.012 0.012 -147.991 4 0.048 0.048 0.048 -130.474 5 0.084 0.084 0.084 -112.269 6 0.120 0.120 0.120 -94.905 7 0.156 0.156 0.156 -79.146 8 0.192 0.192 0.192 -65.297 9 0.228 0.228 0.228 -53.397 10 0.264 0.264 0.264 -43.334 11 0.300 0.300 0.300 -34.922 12 0.300 0.300 0.300 -27.945 13 0.300 0.300 0.300 -22.232 14 0.300 0.300 0.300 -17.597 15 0.300 0.300 0.300 -13.861 16 0.300 0.300 0.300 -10.865 17 0.300 0.300 0.300 -8.471 18 0.300 0.300 0.300 -6.565 19 0.300 0.300 0.300 -5.053 20 0.300 0.300 0.300 -3.860 21 0.300 0.300 0.300 -2.926 22 0.300 0.300 0.300 -2.206 23 0.300 0.300 0.300 -1.661 24 0.300 0.300 0.300 -1.249 25 0.300 0.300 0.300 -0.938 26 0.300 0.300 0.300 -0.705 27 0.300 0.300 0.300 -0.546 28 0.300 0.300 0.300 -0.414 29 0.300 0.300 0.300 -0.314 30 0.300 0.300 0.300 -0.238 31 0.300 0.300 0.300 -0.178 32 0.300 0.300 0.300 -0.130 33 0.300 0.300 0.300 -0.087 34 0.300 0.300 0.300 -0.045 35 0.300 0.300 0.300 . 36 0.300 0.300 0.300 . 37 0.300 0.300 0.300 . 38 0.300 0.300 0.300 . 39 0.300 0.300 0.300 . 40 0.300 0.300 0.300 . 41 0.300 0.300 0.300 . 42 0.300 0.300 0.300 . 43 0.300 0.300 0.300 . 44 0.300 0.300 0.300 . 45 0.300 0.300 0.300 . 46 0.300 0.300 0.300 . 47 0.300 0.300 0.300 . 48 0.300 0.300 0.300 . 49 0.300 0.300 0.300 . 50 0.300 0.300 0.300 . 51 0.300 0.300 0.300 . 52 0.300 0.300 0.300 . 53 0.300 0.300 0.300 . 54 0.300 0.300 0.300 . 55 0.300 0.300 0.300 . 56 0.300 0.300 0.300 . 57 0.300 0.300 0.300 . 58 0.300 0.300 0.300 . 59 0.300 0.300 0.300 . 60 0.300 0.300 0.300 . ---- EQU MMAT0 Starting atmospheric concentration LOWER LEVEL UPPER MARGINAL 1 808.900 808.900 808.900 -2.791 ---- EQU MMAT Atmospheric concentration equation LOWER LEVEL UPPER MARGINAL 2 . . . -3.215 3 . . . -3.162 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 . . . -0.030 23 . . . -0.021 24 . . . -0.014 25 . . . -0.010 26 . . . -0.006 27 . . . -0.004 28 . . . -0.003 29 . . . -0.002 30 . . . -0.001 31 . . . -0.001 32 . . . -7.050E-4 33 . . . -5.046E-4 34 . . . -3.618E-4 35 . . . -2.597E-4 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 MMATAVEQ Average concentrations equation LOWER LEVEL UPPER MARGINAL 1 . . . EPS 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 . . . -8.989E-4 32 . . . -6.651E-4 33 . . . -4.511E-4 34 . . . -2.375E-4 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 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 . . . -0.979 3 . . . -0.787 4 . . . -0.627 5 . . . -0.495 6 . . . -0.389 7 . . . -0.304 8 . . . -0.237 9 . . . -0.185 10 . . . -0.143 11 . . . -0.111 12 . . . -0.086 13 . . . -0.067 14 . . . -0.052 15 . . . -0.040 16 . . . -0.031 17 . . . -0.024 18 . . . -0.018 19 . . . -0.014 20 . . . -0.010 21 . . . -0.007 22 . . . -0.005 23 . . . -0.003 24 . . . -0.002 25 . . . -0.002 26 . . . -0.001 27 . . . -7.166E-4 28 . . . -4.912E-4 29 . . . -3.356E-4 30 . . . -2.275E-4 31 . . . -1.516E-4 32 . . . -9.741E-5 33 . . . -5.670E-5 34 . . . -2.525E-5 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 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 . . . -0.002 9 . . . -0.002 10 . . . -0.001 11 . . . -0.001 12 . . . -8.528E-4 13 . . . -6.467E-4 14 . . . -4.872E-4 15 . . . -3.640E-4 16 . . . -2.690E-4 17 . . . -1.960E-4 18 . . . -1.405E-4 19 . . . -9.866E-5 20 . . . -6.790E-5 21 . . . -4.608E-5 22 . . . -3.128E-5 23 . . . -2.121E-5 24 . . . -1.436E-5 25 . . . -9.702E-6 26 . . . -6.521E-6 27 . . . -4.300E-6 28 . . . -2.777E-6 29 . . . -1.736E-6 30 . . . -1.029E-6 31 . . . -5.583E-7 32 . . . -2.553E-7 33 . . . -7.874E-8 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 TATMEQ Temperature-climate equation for atmosphere LOWER LEVEL UPPER MARGINAL 2 . . . -736.533 3 . . . -672.687 4 . . . -593.065 5 . . . -510.313 6 . . . -431.385 7 . . . -359.753 8 . . . -296.804 9 . . . -242.712 10 . . . -196.972 11 . . . -158.738 12 . . . -127.021 13 . . . -101.054 14 . . . -79.987 15 . . . -63.006 16 . . . -49.386 17 . . . -38.504 18 . . . -29.841 19 . . . -22.968 20 . . . -17.543 21 . . . -13.299 22 . . . -10.029 23 . . . -7.548 24 . . . -5.676 25 . . . -4.265 26 . . . -3.204 27 . . . -2.483 28 . . . -1.884 29 . . . -1.428 30 . . . -1.080 31 . . . -0.808 32 . . . -0.590 33 . . . -0.395 34 . . . -0.205 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 TATM0EQ Initial condition for atmospheric temperature LOWER LEVEL UPPER MARGINAL 1 0.731 0.731 0.731 -763.335 ---- EQU TOCEANEQ Temperature-climate equation for lower oceans LOWER LEVEL UPPER MARGINAL 2 . . . -219.410 3 . . . -184.224 4 . . . -152.717 5 . . . -125.302 6 . . . -101.927 7 . . . -82.298 8 . . . -66.009 9 . . . -52.621 10 . . . -41.707 11 . . . -32.874 12 . . . -25.779 13 . . . -20.115 14 . . . -15.617 15 . . . -12.062 16 . . . -9.266 17 . . . -7.078 18 . . . -5.378 19 . . . -4.065 20 . . . -3.060 21 . . . -2.297 22 . . . -1.721 23 . . . -1.288 24 . . . -0.961 25 . . . -0.715 26 . . . -0.530 27 . . . -0.386 28 . . . -0.275 29 . . . -0.190 30 . . . -0.125 31 . . . -0.076 32 . . . -0.039 33 . . . -0.014 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 TOCEAN0EQ Initial condition for lower ocean temperature LOWER LEVEL UPPER MARGINAL 1 0.007 0.007 0.007 -257.051 ---- 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 0.005 231.404 2 . 0.158 1.000 . 3 . 0.184 1.000 . 4 . 0.211 1.000 . 5 . 0.241 1.000 . 6 . 0.271 1.000 . 7 . 0.303 1.000 . 8 . 0.337 1.000 . 9 . 0.373 1.000 . 10 . 0.410 1.000 . 11 . 0.450 1.000 . 12 . 0.491 1.000 . 13 . 0.536 1.000 . 14 . 0.583 1.000 . 15 . 0.633 1.000 . 16 . 0.687 1.000 . 17 . 0.744 1.000 . 18 . 0.806 1.000 . 19 . 0.873 1.000 . 20 . 0.943 1.000 . 21 . 1.000 1.000 . 22 . 1.000 1.000 . 23 . 1.000 1.000 . 24 . 1.000 1.000 . 25 . 1.000 1.000 . 26 . 1.000 1.000 . 27 . 1.000 1.000 . 28 . 1.000 1.000 . 29 . 1.000 1.000 . 30 . 1.000 1.000 . 31 . 1.000 1.000 . 32 . 1.000 1.000 . 33 . 1.000 1.000 . 34 . 1.000 1.000 . 35 . 1.000 1.000 . 36 . 1.000 1.000 . 37 . 1.000 1.000 . 38 . 1.000 1.000 . 39 . 1.000 1.000 . 40 . 1.000 1.000 . 41 . 1.000 1.000 . 42 . 1.000 1.000 . 43 . 1.000 1.000 . 44 . 1.000 1.000 . 45 . 1.000 1.000 . 46 . 1.000 1.000 . 47 . 1.000 1.000 . 48 . 1.000 1.000 . 49 . 1.000 1.000 . 50 . 0.999 1.000 . 51 . 1.000 1.000 . 52 . 1.000 1.000 . 53 . 1.000 1.000 . 54 . 1.000 1.000 . 55 . 1.000 1.000 . 56 . 1.000 1.000 . 57 . 1.000 1.000 . 58 . 0.997 1.000 . 59 . 0.970 1.000 . 60 . 0.866 1.000 . ---- VAR FORC Radiative forcing in watts per m2 LOWER LEVEL UPPER MARGINAL 1 -INF 1.791 +INF . 2 -INF 2.142 +INF . 3 -INF 2.453 +INF . 4 -INF 2.758 +INF . 5 -INF 3.056 +INF . 6 -INF 3.342 +INF . 7 -INF 3.615 +INF . 8 -INF 3.873 +INF . 9 -INF 4.118 +INF . 10 -INF 4.347 +INF . 11 -INF 4.560 +INF . 12 -INF 4.720 +INF . 13 -INF 4.861 +INF . 14 -INF 4.980 +INF . 15 -INF 5.075 +INF . 16 -INF 5.142 +INF . 17 -INF 5.174 +INF . 18 -INF 5.164 +INF . 19 -INF 5.102 +INF . 20 -INF 4.976 +INF . 21 -INF 4.784 +INF . 22 -INF 4.580 +INF . 23 -INF 4.410 +INF . 24 -INF 4.265 +INF . 25 -INF 4.139 +INF . 26 -INF 4.026 +INF . 27 -INF 3.924 +INF . 28 -INF 3.830 +INF . 29 -INF 3.742 +INF . 30 -INF 3.658 +INF . 31 -INF 3.578 +INF . 32 -INF 3.501 +INF . 33 -INF 3.426 +INF . 34 -INF 3.354 +INF . 35 -INF 3.284 +INF . 36 -INF 3.215 +INF . 37 -INF 3.149 +INF . 38 -INF 3.084 +INF . 39 -INF 3.020 +INF . 40 -INF 2.958 +INF . 41 -INF 2.898 +INF . 42 -INF 2.839 +INF . 43 -INF 2.781 +INF . 44 -INF 2.726 +INF . 45 -INF 2.671 +INF . 46 -INF 2.617 +INF . 47 -INF 2.566 +INF . 48 -INF 2.515 +INF . 49 -INF 2.465 +INF . 50 -INF 2.426 +INF . 51 -INF 2.386 +INF . 52 -INF 2.337 +INF . 53 -INF 2.290 +INF . 54 -INF 2.245 +INF . 55 -INF 2.202 +INF . 56 -INF 2.159 +INF . 57 -INF 2.119 +INF . 58 -INF 2.101 +INF . 59 -INF 2.325 +INF . 60 -INF -1.262 +INF . ---- VAR TATM Temperature of atmosphere in degrees C LOWER LEVEL UPPER MARGINAL 1 . 0.731 20.000 . 2 . 0.951 20.000 . 3 . 1.165 20.000 . 4 . 1.376 20.000 . 5 . 1.584 20.000 . 6 . 1.786 20.000 . 7 . 1.984 20.000 . 8 . 2.175 20.000 . 9 . 2.360 20.000 . 10 . 2.537 20.000 . 11 . 2.706 20.000 . 12 . 2.858 20.000 . 13 . 2.996 20.000 . 14 . 3.119 20.000 . 15 . 3.227 20.000 . 16 . 3.320 20.000 . 17 . 3.395 20.000 . 18 . 3.448 20.000 . 19 . 3.477 20.000 . 20 . 3.474 20.000 . 21 . 3.437 20.000 . 22 . 3.373 20.000 . 23 . 3.300 20.000 . 24 . 3.226 20.000 . 25 . 3.153 20.000 . 26 . 3.086 20.000 . 27 . 3.023 20.000 . 28 . 2.964 20.000 . 29 . 2.909 20.000 . 30 . 2.857 20.000 . 31 . 2.808 20.000 . 32 . 2.760 20.000 . 33 . 2.715 20.000 . 34 . 2.670 20.000 . 35 . 2.627 20.000 . 36 . 2.585 20.000 . 37 . 2.544 20.000 . 38 . 2.503 20.000 . 39 . 2.463 20.000 . 40 . 2.423 20.000 . 41 . 2.384 20.000 . 42 . 2.346 20.000 . 43 . 2.308 20.000 . 44 . 2.270 20.000 . 45 . 2.233 20.000 . 46 . 2.197 20.000 . 47 . 2.161 20.000 . 48 . 2.126 20.000 . 49 . 2.092 20.000 . 50 . 2.059 20.000 . 51 . 2.029 20.000 . 52 . 1.997 20.000 . 53 . 1.965 20.000 . 54 . 1.933 20.000 . 55 . 1.901 20.000 . 56 . 1.870 20.000 . 57 . 1.840 20.000 . 58 . 1.814 20.000 . 59 . 1.846 20.000 . 60 . 1.076 20.000 . ---- VAR TOCEAN Temperatureof lower oceans degrees C LOWER LEVEL UPPER MARGINAL 1 -1.000 0.007 20.000 . 2 -1.000 0.043 20.000 . 3 -1.000 0.088 20.000 . 4 -1.000 0.142 20.000 . 5 -1.000 0.204 20.000 . 6 -1.000 0.273 20.000 . 7 -1.000 0.349 20.000 . 8 -1.000 0.430 20.000 . 9 -1.000 0.518 20.000 . 10 -1.000 0.610 20.000 . 11 -1.000 0.706 20.000 . 12 -1.000 0.806 20.000 . 13 -1.000 0.909 20.000 . 14 -1.000 1.013 20.000 . 15 -1.000 1.118 20.000 . 16 -1.000 1.224 20.000 . 17 -1.000 1.329 20.000 . 18 -1.000 1.432 20.000 . 19 -1.000 1.533 20.000 . 20 -1.000 1.630 20.000 . 21 -1.000 1.722 20.000 . 22 -1.000 1.808 20.000 . 23 -1.000 1.886 20.000 . 24 -1.000 1.957 20.000 . 25 -1.000 2.020 20.000 . 26 -1.000 2.077 20.000 . 27 -1.000 2.127 20.000 . 28 -1.000 2.172 20.000 . 29 -1.000 2.212 20.000 . 30 -1.000 2.247 20.000 . 31 -1.000 2.277 20.000 . 32 -1.000 2.304 20.000 . 33 -1.000 2.326 20.000 . 34 -1.000 2.346 20.000 . 35 -1.000 2.362 20.000 . 36 -1.000 2.375 20.000 . 37 -1.000 2.386 20.000 . 38 -1.000 2.394 20.000 . 39 -1.000 2.399 20.000 . 40 -1.000 2.402 20.000 . 41 -1.000 2.403 20.000 . 42 -1.000 2.402 20.000 . 43 -1.000 2.400 20.000 . 44 -1.000 2.395 20.000 . 45 -1.000 2.389 20.000 . 46 -1.000 2.381 20.000 . 47 -1.000 2.372 20.000 . 48 -1.000 2.361 20.000 . 49 -1.000 2.350 20.000 . 50 -1.000 2.337 20.000 . 51 -1.000 2.323 20.000 . 52 -1.000 2.308 20.000 . 53 -1.000 2.293 20.000 . 54 -1.000 2.276 20.000 . 55 -1.000 2.259 20.000 . 56 -1.000 2.241 20.000 . 57 -1.000 2.223 20.000 . 58 -1.000 2.203 20.000 . 59 -1.000 2.184 20.000 . 60 -1.000 2.167 20.000 . ---- VAR MAT Carbon concentration in atmosphere GtC LOWER LEVEL UPPER MARGINAL 1 10.000 808.900 +INF . 2 10.000 863.108 +INF . 3 10.000 907.615 +INF -1.165E-5 4 10.000 954.046 +INF 5.3063E-5 5 10.000 1001.583 +INF 2.3192E-5 6 10.000 1049.507 +INF 4.2957E-5 7 10.000 1097.239 +INF 6.6277E-5 8 10.000 1144.300 +INF 8.5990E-5 9 10.000 1190.270 +INF 9.4097E-5 10 10.000 1234.726 +INF 8.0805E-5 11 10.000 1277.210 +INF 1.0886E-4 12 10.000 1317.183 +INF 1.1957E-4 13 10.000 1353.975 +INF 1.2897E-4 14 10.000 1386.742 +INF 1.5453E-4 15 10.000 1414.431 +INF 1.7334E-4 16 10.000 1435.743 +INF 2.1136E-4 17 10.000 1449.098 +INF 2.4709E-4 18 10.000 1452.579 +INF 2.8045E-4 19 10.000 1443.855 +INF 3.4432E-4 20 10.000 1420.231 +INF 4.1669E-4 21 10.000 1378.677 +INF 0.001 22 10.000 1323.732 +INF 0.003 23 10.000 1280.012 +INF 6.2103E-4 24 10.000 1244.266 +INF -3.785E-4 25 10.000 1214.234 +INF -8.410E-4 26 10.000 1188.341 +INF -9.046E-4 27 10.000 1165.487 +INF -0.001 28 10.000 1144.904 +INF -0.001 29 10.000 1126.054 +INF -8.870E-4 30 10.000 1108.558 +INF -7.543E-4 31 10.000 1092.148 +INF -6.213E-4 32 10.000 1076.635 +INF -4.968E-4 33 10.000 1061.880 +INF -3.516E-4 34 10.000 1047.786 +INF -1.931E-4 35 10.000 1034.278 +INF 1.4101E-4 36 10.000 1021.302 +INF EPS 37 10.000 1008.815 +INF EPS 38 10.000 996.784 +INF EPS 39 10.000 985.182 +INF EPS 40 10.000 973.987 +INF EPS 41 10.000 963.181 +INF EPS 42 10.000 952.745 +INF EPS 43 10.000 942.665 +INF EPS 44 10.000 932.928 +INF EPS 45 10.000 923.650 +INF EPS 46 10.000 914.573 +INF EPS 47 10.000 905.768 +INF EPS 48 10.000 897.406 +INF EPS 49 10.000 889.167 +INF EPS 50 10.000 881.381 +INF EPS 51 10.000 876.466 +INF EPS 52 10.000 868.600 +INF EPS 53 10.000 861.028 +INF EPS 54 10.000 853.815 +INF EPS 55 10.000 847.014 +INF EPS 56 10.000 840.381 +INF EPS 57 10.000 834.063 +INF EPS 58 10.000 827.925 +INF EPS 59 10.000 828.769 +INF EPS 60 10.000 897.091 +INF EPS ---- VAR MATAV Average concentrations LOWER LEVEL UPPER MARGINAL 1 . 836.004 +INF . 2 . 885.361 +INF . 3 . 930.830 +INF . 4 . 977.814 +INF . 5 . 1025.545 +INF . 6 . 1073.373 +INF . 7 . 1120.769 +INF . 8 . 1167.285 +INF . 9 . 1212.498 +INF . 10 . 1255.968 +INF . 11 . 1297.196 +INF . 12 . 1335.579 +INF . 13 . 1370.359 +INF . 14 . 1400.587 +INF . 15 . 1425.087 +INF . 16 . 1442.420 +INF . 17 . 1450.838 +INF . 18 . 1448.217 +INF . 19 . 1432.043 +INF . 20 . 1399.454 +INF . 21 . 1351.205 +INF . 22 . 1301.872 +INF . 23 . 1262.139 +INF . 24 . 1229.250 +INF . 25 . 1201.288 +INF . 26 . 1176.914 +INF . 27 . 1155.195 +INF . 28 . 1135.479 +INF . 29 . 1117.306 +INF . 30 . 1100.353 +INF . 31 . 1084.391 +INF . 32 . 1069.257 +INF . 33 . 1054.833 +INF . 34 . 1041.032 +INF . 35 . 1027.790 +INF . 36 . 1015.058 +INF . 37 . 1002.799 +INF . 38 . 990.983 +INF . 39 . 979.585 +INF . 40 . 968.584 +INF . 41 . 957.963 +INF . 42 . 947.705 +INF . 43 . 937.797 +INF . 44 . 928.289 +INF . 45 . 919.112 +INF . 46 . 910.170 +INF . 47 . 901.587 +INF . 48 . 893.286 +INF . 49 . 885.274 +INF . 50 . 878.923 +INF . 51 . 872.533 +INF . 52 . 864.814 +INF . 53 . 857.422 +INF . 54 . 850.415 +INF . 55 . 843.697 +INF . 56 . 837.222 +INF . 57 . 830.994 +INF . 58 . 828.347 +INF . 59 . 862.930 +INF . 60 . 448.545 +INF . ---- VAR MU Carbon concentration in shallow oceans Gtc LOWER LEVEL UPPER MARGINAL 1 100.000 1255.000 +INF . 2 100.000 1280.635 +INF . 3 100.000 1312.775 +INF . 4 100.000 1348.628 +INF . 5 100.000 1388.018 +INF . 6 100.000 1430.640 +INF . 7 100.000 1476.095 +INF . 8 100.000 1523.939 +INF . 9 100.000 1573.698 +INF . 10 100.000 1624.892 +INF . 11 100.000 1677.030 +INF . 12 100.000 1729.608 +INF . 13 100.000 1782.094 +INF . 14 100.000 1833.907 +INF . 15 100.000 1884.393 +INF . 16 100.000 1932.792 +INF . 17 100.000 1978.214 +INF . 18 100.000 2019.596 +INF . 19 100.000 2055.672 +INF . 20 100.000 2084.919 +INF . 21 100.000 2105.526 +INF . 22 100.000 2115.376 +INF . 23 100.000 2113.521 +INF . 24 100.000 2103.808 +INF . 25 100.000 2088.905 +INF . 26 100.000 2070.654 +INF . 27 100.000 2050.328 +INF . 28 100.000 2028.806 +INF . 29 100.000 2006.690 +INF . 30 100.000 1984.391 +INF . 31 100.000 1962.189 +INF . 32 100.000 1940.272 +INF . 33 100.000 1918.762 +INF . 34 100.000 1897.741 +INF . 35 100.000 1877.257 +INF . 36 100.000 1857.339 +INF . 37 100.000 1838.000 +INF . 38 100.000 1819.244 +INF . 39 100.000 1801.070 +INF . 40 100.000 1783.468 +INF . 41 100.000 1766.429 +INF . 42 100.000 1749.940 +INF . 43 100.000 1733.987 +INF . 44 100.000 1718.557 +INF . 45 100.000 1703.634 +INF . 46 100.000 1689.228 +INF . 47 100.000 1675.298 +INF . 48 100.000 1661.823 +INF . 49 100.000 1648.818 +INF . 50 100.000 1636.234 +INF . 51 100.000 1624.094 +INF . 52 100.000 1612.872 +INF . 53 100.000 1601.874 +INF . 54 100.000 1591.119 +INF . 55 100.000 1580.638 +INF . 56 100.000 1570.468 +INF . 57 100.000 1560.591 +INF . 58 100.000 1551.024 +INF . 59 100.000 1541.752 +INF . 60 100.000 1534.052 +INF . ---- VAR ML Carbon concentration in lower oceans GtC LOWER LEVEL UPPER MARGINAL 1 1000.000 18365.000 +INF . 2 1000.000 18370.477 +INF . 3 1000.000 18377.219 +INF . 4 1000.000 18385.547 +INF . 5 1000.000 18395.642 +INF . 6 1000.000 18407.675 +INF . 7 1000.000 18421.801 +INF . 8 1000.000 18438.156 +INF . 9 1000.000 18456.852 +INF . 10 1000.000 18477.978 +INF . 11 1000.000 18501.597 +INF . 12 1000.000 18527.750 +INF . 13 1000.000 18556.450 +INF . 14 1000.000 18587.685 +INF . 15 1000.000 18621.414 +INF . 16 1000.000 18657.561 +INF . 17 1000.000 18696.016 +INF . 18 1000.000 18736.621 +INF . 19 1000.000 18779.170 +INF . 20 1000.000 18823.389 +INF . 21 1000.000 18868.933 +INF . 22 1000.000 18915.365 +INF . 23 1000.000 18962.145 +INF . 24 1000.000 19008.686 +INF . 25 1000.000 19054.596 +INF . 26 1000.000 19099.618 +INF . 27 1000.000 19143.587 +INF . 28 1000.000 19186.403 +INF . 29 1000.000 19228.009 +INF . 30 1000.000 19268.379 +INF . 31 1000.000 19307.509 +INF . 32 1000.000 19345.406 +INF . 33 1000.000 19382.090 +INF . 34 1000.000 19417.583 +INF . 35 1000.000 19451.915 +INF . 36 1000.000 19485.116 +INF . 37 1000.000 19517.217 +INF . 38 1000.000 19548.251 +INF . 39 1000.000 19578.250 +INF . 40 1000.000 19607.248 +INF . 41 1000.000 19635.274 +INF . 42 1000.000 19662.362 +INF . 43 1000.000 19688.540 +INF . 44 1000.000 19713.839 +INF . 45 1000.000 19738.288 +INF . 46 1000.000 19761.914 +INF . 47 1000.000 19784.747 +INF . 48 1000.000 19806.811 +INF . 49 1000.000 19828.133 +INF . 50 1000.000 19848.739 +INF . 51 1000.000 19868.651 +INF . 52 1000.000 19887.893 +INF . 53 1000.000 19906.515 +INF . 54 1000.000 19924.529 +INF . 55 1000.000 19941.948 +INF . 56 1000.000 19958.790 +INF . 57 1000.000 19975.070 +INF . 58 1000.000 19990.806 +INF . 59 1000.000 20006.014 +INF . 60 1000.000 20020.712 +INF . ---- VAR E CO2-equivalent emissions GtC LOWER LEVEL UPPER MARGINAL 1 . 85.320 +INF . 2 . 83.388 +INF . 3 . 90.613 +INF . 4 . 97.022 +INF . 5 . 102.578 +INF . 6 . 107.313 +INF . 7 . 111.260 +INF . 8 . 114.425 +INF . 9 . 116.776 +INF . 10 . 118.241 +INF . 11 . 118.704 +INF . 12 . 117.979 +INF . 13 . 115.815 +INF . 14 . 111.903 +INF . 15 . 105.858 +INF . 16 . 97.231 +INF . 17 . 85.469 +INF . 18 . 69.901 +INF . 19 . 49.841 +INF . 20 . 24.597 +INF . 21 . 1.337 +INF . 22 . 1.204 +INF . 23 . 1.083 +INF . 24 . 0.975 +INF . 25 . 0.877 +INF . 26 . 0.790 +INF . 27 . 0.711 +INF . 28 . 0.640 +INF . 29 . 0.576 +INF . 30 . 0.518 +INF . 31 . 0.466 +INF . 32 . 0.420 +INF . 33 . 0.378 +INF . 34 . 0.340 +INF . 35 . 0.306 +INF . 36 . 0.275 +INF . 37 . 0.248 +INF . 38 . 0.223 +INF . 39 . 0.201 +INF . 40 . 0.181 +INF . 41 . 0.163 +INF . 42 . 0.146 +INF . 43 . 0.132 +INF . 44 . 0.248 +INF . 45 . 0.143 +INF . 46 . 0.097 +INF . 47 . 0.228 +INF . 48 . 0.078 +INF . 49 . 0.236 +INF . 50 . 2.856 +INF . 51 . 0.156 +INF . 52 . 0.051 +INF . 53 . 0.046 +INF . 54 . 0.138 +INF . 55 . 0.037 +INF . 56 . 0.087 +INF . 57 . 0.030 +INF . 58 . 6.780 +INF . 59 . 75.319 +INF . 60 . 318.086 +INF EPS ---- VAR C Consumption trillions US dollars LOWER LEVEL UPPER MARGINAL 1 20.000 43.354 +INF . 2 20.000 54.199 +INF . 3 20.000 66.322 +INF . 4 20.000 79.624 +INF . 5 20.000 94.141 +INF . 6 20.000 109.993 +INF . 7 20.000 127.359 +INF . 8 20.000 146.451 +INF . 9 20.000 167.506 +INF . 10 20.000 190.785 +INF . 11 20.000 216.565 +INF . 12 20.000 245.179 +INF . 13 20.000 276.959 +INF . 14 20.000 312.265 +INF . 15 20.000 351.488 +INF . 16 20.000 395.053 +INF . 17 20.000 443.430 +INF . 18 20.000 497.142 +INF . 19 20.000 556.779 +INF . 20 20.000 623.019 +INF . 21 20.000 697.091 +INF . 22 20.000 781.243 +INF . 23 20.000 875.192 +INF . 24 20.000 979.603 +INF . 25 20.000 1095.273 +INF . 26 20.000 1223.122 +INF 0.003 27 20.000 1364.183 +INF . 28 20.000 1519.599 +INF . 29 20.000 1690.619 +INF . 30 20.000 1878.594 +INF . 31 20.000 2084.985 +INF . 32 20.000 2311.359 +INF -2.066E-4 33 20.000 2559.396 +INF -2.892E-4 34 20.000 2830.890 +INF -3.042E-4 35 20.000 3127.760 +INF 0.002 36 20.000 3452.047 +INF 0.002 37 20.000 3805.927 +INF 0.001 38 20.000 4191.714 +INF 8.7897E-4 39 20.000 4611.865 +INF 6.2567E-4 40 20.000 5068.988 +INF 4.4627E-4 41 20.000 5565.849 +INF 3.1894E-4 42 20.000 5964.048 +INF 2.3935E-4 43 20.000 6553.183 +INF 1.7083E-4 44 20.000 7209.357 +INF 1.2162E-4 45 20.000 7333.268 +INF 1.0128E-4 46 20.000 6997.964 +INF 9.5837E-5 47 20.000 7378.409 +INF 7.4283E-5 48 20.000 7794.732 +INF 5.7353E-5 49 20.000 7986.788 +INF 4.7071E-5 50 20.000 6838.197 +INF 5.5329E-5 51 20.000 10312.891 +INF 2.0961E-5 52 20.000 12809.078 +INF 1.1708E-5 53 20.000 12728.573 +INF 1.0216E-5 54 20.000 5366.012 +INF 4.9532E-5 55 20.000 8669.163 +INF 1.6352E-5 56 20.000 9524.176 +INF 1.1674E-5 57 20.000 9693.198 +INF 9.7113E-6 58 20.000 9269.498 +INF 9.1504E-6 59 20.000 9940.323 +INF 6.8563E-6 60 20.000 9588.683 +INF 6.3491E-6 ---- VAR K Capital stock trillions US dollars LOWER LEVEL UPPER MARGINAL 1 100.000 137.000 +INF . 2 100.000 170.053 +INF . 3 100.000 212.167 +INF . 4 100.000 261.043 +INF . 5 100.000 315.604 +INF . 6 100.000 375.572 +INF . 7 100.000 441.194 +INF . 8 100.000 513.056 +INF . 9 100.000 591.961 +INF . 10 100.000 678.860 +INF . 11 100.000 774.818 +INF . 12 100.000 880.990 +INF . 13 100.000 998.715 +INF . 14 100.000 1129.399 +INF . 15 100.000 1274.548 +INF . 16 100.000 1435.787 +INF . 17 100.000 1614.882 +INF . 18 100.000 1813.777 +INF . 19 100.000 2034.623 +INF . 20 100.000 2279.833 +INF . 21 100.000 2552.165 +INF . 22 100.000 2856.043 +INF . 23 100.000 3199.350 +INF . 24 100.000 3584.037 +INF . 25 100.000 4012.661 +INF . 26 100.000 4488.362 +INF . 27 100.000 5014.828 +INF . 28 100.000 5596.261 +INF . 29 100.000 6237.348 +INF . 30 100.000 6943.243 +INF . 31 100.000 7719.561 +INF . 32 100.000 8572.375 +INF . 33 100.000 9508.223 +INF . 34 100.000 10534.124 +INF . 35 100.000 11657.587 +INF . 36 100.000 12886.638 +INF . 37 100.000 14229.838 +INF . 38 100.000 15696.307 +INF . 39 100.000 17295.750 +INF . 40 100.000 19038.483 +INF . 41 100.000 20935.458 +INF . 42 100.000 21271.178 +INF . 43 100.000 23551.600 +INF . 44 100.000 26241.976 +INF . 45 100.000 22566.165 +INF . 46 100.000 15719.622 +INF . 47 100.000 15302.139 +INF . 48 100.000 15025.070 +INF . 49 100.000 13352.705 +INF . 50 100.000 6534.746 +INF . 51 100.000 21155.206 +INF . 52 100.000 35927.884 +INF . 53 100.000 29066.093 +INF . 54 100.000 1351.761 +INF . 55 100.000 5547.719 +INF . 56 100.000 6308.435 +INF . 57 100.000 5570.123 +INF . 58 100.000 4003.955 +INF . 59 100.000 4228.674 +INF . 60 100.000 3066.958 +INF . ---- VAR CPC Per capita consumption thousands US dollars LOWER LEVEL UPPER MARGINAL 1 -INF 6.656 +INF . 2 -INF 7.602 +INF . 3 -INF 8.768 +INF . 4 -INF 10.117 +INF . 5 -INF 11.643 +INF . 6 -INF 13.353 +INF . 7 -INF 15.263 +INF . 8 -INF 17.393 +INF . 9 -INF 19.769 +INF . 10 -INF 22.417 +INF . 11 -INF 25.368 +INF . 12 -INF 28.657 +INF . 13 -INF 32.322 +INF . 14 -INF 36.403 +INF . 15 -INF 40.945 +INF . 16 -INF 45.995 +INF . 17 -INF 51.608 +INF . 18 -INF 57.844 +INF . 19 -INF 64.771 +INF . 20 -INF 72.467 +INF . 21 -INF 81.075 +INF . 22 -INF 90.856 +INF . 23 -INF 101.778 +INF . 24 -INF 113.916 +INF . 25 -INF 127.364 +INF . 26 -INF 142.229 +INF . 27 -INF 158.630 +INF . 28 -INF 176.701 +INF . 29 -INF 196.586 +INF . 30 -INF 218.443 +INF . 31 -INF 242.442 +INF . 32 -INF 268.764 +INF . 33 -INF 297.605 +INF . 34 -INF 329.174 +INF . 35 -INF 363.694 +INF . 36 -INF 401.401 +INF . 37 -INF 442.550 +INF . 38 -INF 487.409 +INF . 39 -INF 536.264 +INF . 40 -INF 589.417 +INF . 41 -INF 647.192 +INF . 42 -INF 693.494 +INF . 43 -INF 761.998 +INF . 44 -INF 838.297 +INF . 45 -INF 852.706 +INF . 46 -INF 813.717 +INF . 47 -INF 857.955 +INF . 48 -INF 906.364 +INF . 49 -INF 928.696 +INF . 50 -INF 795.139 +INF . 51 -INF 1199.173 +INF . 52 -INF 1489.428 +INF . 53 -INF 1480.067 +INF . 54 -INF 623.955 +INF . 55 -INF 1008.042 +INF . 56 -INF 1107.462 +INF . 57 -INF 1127.116 +INF . 58 -INF 1077.849 +INF . 59 -INF 1155.852 +INF . 60 -INF 1114.963 +INF . ---- VAR PCY Per capita income thousands US dollars LOWER LEVEL UPPER MARGINAL 1 -INF 8.533 +INF . 2 -INF 9.746 +INF . 3 -INF 11.241 +INF . 4 -INF 12.971 +INF . 5 -INF 14.927 +INF . 6 -INF 17.119 +INF . 7 -INF 19.567 +INF . 8 -INF 22.299 +INF . 9 -INF 25.345 +INF . 10 -INF 28.740 +INF . 11 -INF 32.523 +INF . 12 -INF 36.740 +INF . 13 -INF 41.439 +INF . 14 -INF 46.671 +INF . 15 -INF 52.493 +INF . 16 -INF 58.968 +INF . 17 -INF 66.164 +INF . 18 -INF 74.159 +INF . 19 -INF 83.039 +INF . 20 -INF 92.906 +INF . 21 -INF 103.942 +INF . 22 -INF 116.483 +INF . 23 -INF 130.484 +INF . 24 -INF 146.046 +INF . 25 -INF 163.288 +INF . 26 -INF 182.345 +INF . 27 -INF 203.372 +INF . 28 -INF 226.540 +INF . 29 -INF 252.034 +INF . 30 -INF 280.055 +INF . 31 -INF 310.823 +INF . 32 -INF 344.569 +INF . 33 -INF 381.545 +INF . 34 -INF 422.018 +INF . 35 -INF 466.274 +INF . 36 -INF 514.617 +INF . 37 -INF 567.372 +INF . 38 -INF 624.883 +INF . 39 -INF 687.517 +INF . 40 -INF 755.663 +INF . 41 -INF 829.733 +INF . 42 -INF 889.095 +INF . 43 -INF 976.921 +INF . 44 -INF 1074.740 +INF . 45 -INF 1093.212 +INF . 46 -INF 1043.227 +INF . 47 -INF 1099.942 +INF . 48 -INF 1162.005 +INF . 49 -INF 1190.636 +INF . 50 -INF 1019.409 +INF . 51 -INF 1537.402 +INF . 52 -INF 1909.523 +INF . 53 -INF 1897.521 +INF . 54 -INF 799.942 +INF . 55 -INF 1292.362 +INF . 56 -INF 1419.824 +INF . 57 -INF 1445.021 +INF . 58 -INF 1381.857 +INF . 59 -INF 1481.861 +INF . 60 -INF 1429.440 +INF . ---- VAR I Investment trillions US dollars LOWER LEVEL UPPER MARGINAL 1 . 12.228 +INF . 2 . 15.287 +INF . 3 . 18.707 +INF . 4 . 22.458 +INF . 5 . 26.553 +INF . 6 . 31.024 +INF . 7 . 35.922 +INF . 8 . 41.307 +INF . 9 . 47.246 +INF . 10 . 53.811 +INF . 11 . 61.083 +INF . 12 . 69.153 +INF . 13 . 78.117 +INF . 14 . 88.075 +INF . 15 . 99.138 +INF . 16 . 111.425 +INF . 17 . 125.070 +INF . 18 . 140.220 +INF . 19 . 157.040 +INF . 20 . 175.724 +INF . 21 . 196.616 +INF . 22 . 220.351 +INF . 23 . 246.849 +INF . 24 . 276.298 +INF . 25 . 308.923 +INF . 26 . 344.983 +INF . 27 . 384.770 +INF . 28 . 428.605 +INF . 29 . 476.841 +INF . 30 . 529.860 +INF . 31 . 588.073 +INF . 32 . 651.922 +INF . 33 . 721.881 +INF . 34 . 798.457 +INF . 35 . 882.189 +INF . 36 . 973.655 +INF . 37 . 1073.467 +INF . 38 . 1182.279 +INF . 39 . 1300.783 +INF . 40 . 1429.715 +INF . 41 . 1569.855 +INF . 42 . 1682.168 +INF . 43 . 1848.334 +INF . 44 . 2033.409 +INF . 45 . 2068.358 +INF . 46 . 1973.785 +INF . 47 . 2081.090 +INF . 48 . 2198.515 +INF . 49 . 2252.684 +INF . 50 . 1928.723 +INF . 51 . 2908.765 +INF . 52 . 3612.817 +INF . 53 . 3590.110 +INF . 54 . 1513.491 +INF . 55 . 2445.149 +INF . 56 . 2686.306 +INF . 57 . 2733.979 +INF . 58 . 2614.474 +INF . 59 . 2803.681 +INF . 60 . 2704.501 +INF . ---- VAR S Gross savings rate as fraction of gross world product LOWER LEVEL UPPER MARGINAL 1 0.220 0.220 0.220 1936.030 2 0.220 0.220 0.220 -861.919 3 0.220 0.220 0.220 -1783.438 4 0.220 0.220 0.220 -1899.056 5 0.220 0.220 0.220 -1704.736 6 0.220 0.220 0.220 -1419.984 7 0.220 0.220 0.220 -1136.676 8 0.220 0.220 0.220 -888.849 9 0.220 0.220 0.220 -684.995 10 0.220 0.220 0.220 -523.049 11 0.220 0.220 0.220 -397.283 12 0.220 0.220 0.220 -300.024 13 0.220 0.220 0.220 -225.505 14 0.220 0.220 0.220 -168.771 15 0.220 0.220 0.220 -125.778 16 0.220 0.220 0.220 -93.333 17 0.220 0.220 0.220 -68.981 18 0.220 0.220 0.220 -50.905 19 0.220 0.220 0.220 -37.820 20 0.220 0.220 0.220 -28.955 21 0.220 0.220 0.220 -22.997 22 0.220 0.220 0.220 -17.608 23 0.220 0.220 0.220 -13.808 24 0.220 0.220 0.220 -11.535 25 0.220 0.220 0.220 -10.970 26 0.220 0.220 0.220 EPS 27 0.220 0.220 0.220 -3.894 28 0.220 0.220 0.220 -2.807 29 0.220 0.220 0.220 -1.896 30 0.220 0.220 0.220 -1.019 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 . 2 -INF 0.057 +INF . 3 -INF 0.055 +INF . 4 -INF 0.052 +INF . 5 -INF 0.050 +INF . 6 -INF 0.048 +INF . 7 -INF 0.046 +INF . 8 -INF 0.045 +INF . 9 -INF 0.044 +INF . 10 -INF 0.043 +INF . 11 -INF 0.042 +INF . 12 -INF 0.042 +INF . 13 -INF 0.042 +INF . 14 -INF 0.041 +INF . 15 -INF 0.041 +INF . 16 -INF 0.041 +INF . 17 -INF 0.040 +INF . 18 -INF 0.040 +INF . 19 -INF 0.040 +INF . 20 -INF 0.040 +INF . 21 -INF 0.040 +INF . 22 -INF 0.040 +INF . 23 -INF 0.040 +INF . 24 -INF 0.040 +INF . 25 -INF 0.040 +INF . 26 -INF 0.040 +INF . 27 -INF 0.039 +INF . 28 -INF 0.039 +INF . 29 -INF 0.039 +INF . 30 -INF 0.039 +INF . 31 -INF 0.039 +INF . 32 -INF 0.039 +INF . 33 -INF 0.038 +INF . 34 -INF 0.038 +INF . 35 -INF 0.038 +INF . 36 -INF 0.038 +INF . 37 -INF 0.038 +INF . 38 -INF 0.038 +INF . 39 -INF 0.037 +INF . 40 -INF 0.037 +INF . 41 -INF 0.037 +INF . 42 -INF 0.043 +INF . 43 -INF 0.042 +INF . 44 -INF 0.041 +INF . 45 -INF 0.060 +INF . 46 -INF 0.106 +INF . 47 -INF 0.120 +INF . 48 -INF 0.134 +INF . 49 -INF 0.165 +INF . 50 -INF 0.337 +INF . 51 -INF 0.122 +INF . 52 -INF 0.072 +INF . 53 -INF 0.103 +INF . 54 -INF 1.462 +INF . 55 -INF 0.536 +INF . 56 -INF 0.516 +INF . 57 -INF 0.604 +INF . 58 -INF 0.825 +INF . 59 -INF 0.839 +INF . 60 -INF 1.137 +INF . ---- VAR Y Gross world product net of abatement and damages LOWER LEVEL UPPER MARGINAL 1 . 55.583 +INF . 2 . 69.487 +INF . 3 . 85.029 +INF . 4 . 102.082 +INF . 5 . 120.693 +INF . 6 . 141.017 +INF . 7 . 163.281 +INF . 8 . 187.758 +INF . 9 . 214.752 +INF . 10 . 244.596 +INF . 11 . 277.648 +INF . 12 . 314.332 +INF . 13 . 355.076 +INF . 14 . 400.341 +INF . 15 . 450.626 +INF . 16 . 506.478 +INF . 17 . 568.500 +INF . 18 . 637.362 +INF . 19 . 713.819 +INF . 20 . 798.743 +INF . 21 . 893.707 +INF . 22 . 1001.594 +INF . 23 . 1122.041 +INF . 24 . 1255.901 +INF . 25 . 1404.196 +INF . 26 . 1568.105 +INF . 27 . 1748.953 +INF . 28 . 1948.205 +INF . 29 . 2167.460 +INF . 30 . 2408.454 +INF . 31 . 2673.058 +INF . 32 . 2963.281 +INF . 33 . 3281.277 +INF . 34 . 3629.347 +INF . 35 . 4009.948 +INF -2.803E-9 36 . 4425.701 +INF -9.76E-10 37 . 4879.394 +INF -3.36E-10 38 . 5373.993 +INF -1.04E-10 39 . 5912.648 +INF EPS 40 . 6498.703 +INF EPS 41 . 7135.704 +INF EPS 42 . 7646.216 +INF EPS 43 . 8401.517 +INF EPS 44 . 9242.765 +INF EPS 45 . 9401.626 +INF EPS 46 . 8971.749 +INF EPS 47 . 9459.499 +INF EPS 48 . 9993.247 +INF EPS 49 . 10239.473 +INF EPS 50 . 8766.920 +INF EPS 51 . 13221.656 +INF EPS 52 . 16421.895 +INF EPS 53 . 16318.683 +INF EPS 54 . 6879.503 +INF EPS 55 . 11114.311 +INF EPS 56 . 12210.482 +INF EPS 57 . 12427.177 +INF EPS 58 . 11883.972 +INF EPS 59 . 12744.004 +INF EPS 60 . 12293.184 +INF EPS ---- VAR YGROSS Gross world product GROSS of abatement and damages LOWER LEVEL UPPER MARGINAL 1 . 55.667 +INF . 2 . 69.685 +INF . 3 . 85.391 +INF . 4 . 102.688 +INF . 5 . 121.641 +INF . 6 . 142.428 +INF . 7 . 165.301 +INF . 8 . 190.559 +INF . 9 . 218.540 +INF . 10 . 249.611 +INF . 11 . 284.167 +INF . 12 . 322.636 +INF . 13 . 365.489 +INF . 14 . 413.228 +INF . 15 . 466.398 +INF . 16 . 525.584 +INF . 17 . 591.425 +INF . 18 . 664.613 +INF . 19 . 745.907 +INF . 20 . 836.134 +INF . 21 . 936.206 +INF . 22 . 1047.269 +INF . 23 . 1170.899 +INF . 24 . 1308.075 +INF . 25 . 1459.900 +INF . 26 . 1627.608 +INF . 27 . 1812.558 +INF . 28 . 2016.237 +INF . 29 . 2240.262 +INF . 30 . 2486.379 +INF . 31 . 2756.469 +INF . 32 . 3052.549 +INF . 33 . 3376.782 +INF . 34 . 3731.479 +INF . 35 . 4119.106 +INF -0.004 36 . 4542.293 +INF EPS 37 . 5003.839 +INF EPS 38 . 5506.723 +INF EPS 39 . 6054.108 +INF EPS 40 . 6649.350 +INF EPS 41 . 7296.009 +INF EPS 42 . 7812.720 +INF EPS 43 . 8578.891 +INF EPS 44 . 9431.990 +INF EPS 45 . 9588.332 +INF EPS 46 . 9144.602 +INF EPS 47 . 9636.340 +INF EPS 48 . 10174.581 +INF EPS 49 . 10419.841 +INF EPS 50 . 8916.904 +INF EPS 51 . 13442.037 +INF EPS 52 . 16688.057 +INF EPS 53 . 16575.757 +INF EPS 54 . 6984.830 +INF EPS 55 . 11279.728 +INF EPS 56 . 12387.166 +INF EPS 57 . 12602.054 +INF EPS 58 . 12046.834 +INF EPS 59 . 12917.904 +INF EPS 60 . 12368.320 +INF EPS ---- VAR YNET Output net of damages equation LOWER LEVEL UPPER MARGINAL 1 -INF 55.583 +INF . 2 -INF 69.507 +INF . 3 -INF 85.063 +INF . 4 -INF 102.139 +INF . 5 -INF 120.781 +INF . 6 -INF 141.149 +INF . 7 -INF 163.474 +INF . 8 -INF 188.034 +INF . 9 -INF 215.139 +INF . 10 -INF 245.132 +INF . 11 -INF 278.380 +INF . 12 -INF 315.323 +INF . 13 -INF 356.409 +INF . 14 -INF 402.124 +INF . 15 -INF 453.003 +INF . 16 -INF 509.637 +INF . 17 -INF 572.690 +INF . 18 -INF 642.911 +INF . 19 -INF 721.160 +INF . 20 -INF 808.431 +INF . 21 -INF 905.832 +INF . 22 -INF 1014.494 +INF . 23 -INF 1135.782 +INF . 24 -INF 1270.549 +INF . 25 -INF 1419.818 +INF . 26 -INF 1584.770 +INF . 27 -INF 1766.735 +INF . 28 -INF 1967.181 +INF . 29 -INF 2187.714 +INF . 30 -INF 2430.074 +INF . 31 -INF 2696.137 +INF . 32 -INF 2987.921 +INF . 33 -INF 3307.584 +INF . 34 -INF 3657.436 +INF . 35 -INF 4039.942 +INF . 36 -INF 4457.730 +INF . 37 -INF 4913.595 +INF . 38 -INF 5410.513 +INF . 39 -INF 5951.644 +INF . 40 -INF 6540.342 +INF . 41 -INF 7180.160 +INF . 42 -INF 7692.579 +INF . 43 -INF 8451.141 +INF . 44 -INF 9295.982 +INF . 45 -INF 9454.450 +INF . 46 -INF 9020.976 +INF . 47 -INF 9510.214 +INF . 48 -INF 10045.655 +INF . 49 -INF 10292.019 +INF . 50 -INF 8810.815 +INF . 51 -INF 13286.790 +INF . 52 -INF 16501.241 +INF . 53 -INF 16396.058 +INF . 54 -INF 6911.526 +INF . 55 -INF 11165.152 +INF . 56 -INF 12265.389 +INF . 57 -INF 12482.145 +INF . 58 -INF 11935.289 +INF . 59 -INF 12794.130 +INF . 60 -INF 12327.780 +INF . ---- VAR DAMAGES Damages LOWER LEVEL UPPER MARGINAL 1 -INF 0.084 +INF . 2 -INF 0.178 +INF . 3 -INF 0.328 +INF . 4 -INF 0.549 +INF . 5 -INF 0.860 +INF . 6 -INF 1.279 +INF . 7 -INF 1.827 +INF . 8 -INF 2.526 +INF . 9 -INF 3.401 +INF . 10 -INF 4.479 +INF . 11 -INF 5.787 +INF . 12 -INF 7.313 +INF . 13 -INF 9.080 +INF . 14 -INF 11.104 +INF . 15 -INF 13.394 +INF . 16 -INF 15.946 +INF . 17 -INF 18.735 +INF . 18 -INF 21.702 +INF . 19 -INF 24.747 +INF . 20 -INF 27.702 +INF . 21 -INF 30.373 +INF . 22 -INF 32.774 +INF . 23 -INF 35.116 +INF . 24 -INF 37.525 +INF . 25 -INF 40.082 +INF . 26 -INF 42.838 +INF . 27 -INF 45.823 +INF . 28 -INF 49.056 +INF . 29 -INF 52.548 +INF . 30 -INF 56.305 +INF . 31 -INF 60.331 +INF . 32 -INF 64.628 +INF . 33 -INF 69.198 +INF . 34 -INF 74.042 +INF . 35 -INF 79.163 +INF . 36 -INF 84.563 +INF . 37 -INF 90.244 +INF . 38 -INF 96.210 +INF . 39 -INF 102.464 +INF . 40 -INF 109.009 +INF . 41 -INF 115.849 +INF . 42 -INF 120.141 +INF . 43 -INF 127.750 +INF . 44 -INF 136.008 +INF . 45 -INF 133.882 +INF . 46 -INF 123.625 +INF . 47 -INF 126.126 +INF . 48 -INF 128.926 +INF . 49 -INF 127.822 +INF . 50 -INF 106.089 +INF . 51 -INF 155.247 +INF . 52 -INF 186.816 +INF . 53 -INF 179.699 +INF . 54 -INF 73.303 +INF . 55 -INF 114.576 +INF . 56 -INF 121.778 +INF . 57 -INF 119.909 +INF . 58 -INF 111.545 +INF . 59 -INF 123.774 +INF . 60 -INF 40.540 +INF . ---- VAR ABATECOST Cost of emissions reductions LOWER LEVEL UPPER MARGINAL 1 -INF 1.3292E-5 +INF . 2 -INF 0.020 +INF . 3 -INF 0.035 +INF . 4 -INF 0.057 +INF . 5 -INF 0.088 +INF . 6 -INF 0.133 +INF . 7 -INF 0.195 +INF . 8 -INF 0.279 +INF . 9 -INF 0.393 +INF . 10 -INF 0.545 +INF . 11 -INF 0.747 +INF . 12 -INF 1.014 +INF . 13 -INF 1.367 +INF . 14 -INF 1.833 +INF . 15 -INF 2.448 +INF . 16 -INF 3.258 +INF . 17 -INF 4.327 +INF . 18 -INF 5.737 +INF . 19 -INF 7.593 +INF . 20 -INF 10.021 +INF . 21 -INF 12.532 +INF . 22 -INF 13.317 +INF . 23 -INF 14.166 +INF . 24 -INF 15.081 +INF . 25 -INF 16.063 +INF . 26 -INF 17.116 +INF . 27 -INF 18.243 +INF . 28 -INF 19.450 +INF . 29 -INF 20.740 +INF . 30 -INF 22.120 +INF . 31 -INF 23.595 +INF . 32 -INF 25.172 +INF . 33 -INF 26.858 +INF . 34 -INF 28.658 +INF . 35 -INF 30.582 +INF . 36 -INF 32.636 +INF . 37 -INF 34.829 +INF . 38 -INF 37.170 +INF . 39 -INF 39.668 +INF . 40 -INF 42.332 +INF . 41 -INF 45.174 +INF . 42 -INF 47.087 +INF . 43 -INF 50.374 +INF . 44 -INF 53.995 +INF . 45 -INF 53.572 +INF . 46 -INF 49.902 +INF . 47 -INF 51.388 +INF . 48 -INF 53.081 +INF . 49 -INF 53.199 +INF . 50 -INF 44.424 +INF . 51 -INF 65.895 +INF . 52 -INF 80.245 +INF . 53 -INF 78.223 +INF . 54 -INF 32.363 +INF . 55 -INF 51.363 +INF . 56 -INF 55.451 +INF . 57 -INF 55.496 +INF . 58 -INF 51.797 +INF . 59 -INF 50.611 +INF . 60 -INF 34.710 +INF . ---- VAR CCA Cumulative industrial carbon emissions GTC LOWER LEVEL UPPER MARGINAL 1 . . 6000.000 . 2 . 85.320 6000.000 . 3 . 168.709 6000.000 EPS 4 . 259.321 6000.000 . 5 . 356.343 6000.000 . 6 . 458.921 6000.000 . 7 . 566.235 6000.000 . 8 . 677.495 6000.000 . 9 . 791.919 6000.000 . 10 . 908.696 6000.000 . 11 . 1026.937 6000.000 . 12 . 1145.641 6000.000 EPS 13 . 1263.620 6000.000 . 14 . 1379.435 6000.000 . 15 . 1491.338 6000.000 EPS 16 . 1597.196 6000.000 . 17 . 1694.427 6000.000 EPS 18 . 1779.896 6000.000 . 19 . 1849.797 6000.000 EPS 20 . 1899.639 6000.000 . 21 . 1924.236 6000.000 . 22 . 1925.573 6000.000 . 23 . 1926.777 6000.000 . 24 . 1927.860 6000.000 EPS 25 . 1928.835 6000.000 . 26 . 1929.712 6000.000 EPS 27 . 1930.502 6000.000 . 28 . 1931.213 6000.000 . 29 . 1931.853 6000.000 EPS 30 . 1932.428 6000.000 . 31 . 1932.946 6000.000 EPS 32 . 1933.413 6000.000 . 33 . 1933.832 6000.000 EPS 34 . 1934.210 6000.000 . 35 . 1934.550 6000.000 . 36 . 1934.856 6000.000 . 37 . 1935.131 6000.000 . 38 . 1935.379 6000.000 EPS 39 . 1935.602 6000.000 . 40 . 1935.803 6000.000 . 41 . 1935.983 6000.000 EPS 42 . 1936.146 6000.000 . 43 . 1936.292 6000.000 . 44 . 1936.424 6000.000 . 45 . 1936.672 6000.000 . 46 . 1936.815 6000.000 . 47 . 1936.912 6000.000 EPS 48 . 1937.140 6000.000 . 49 . 1937.218 6000.000 . 50 . 1937.454 6000.000 . 51 . 1940.310 6000.000 . 52 . 1940.466 6000.000 . 53 . 1940.517 6000.000 . 54 . 1940.563 6000.000 . 55 . 1940.701 6000.000 EPS 56 . 1940.738 6000.000 . 57 . 1940.825 6000.000 . 58 . 1940.855 6000.000 EPS 59 . 1947.635 6000.000 EPS 60 . 2022.954 6000.000 . ---- VAR PERIODU One period utility function LOWER LEVEL UPPER MARGINAL 1 -INF -149.250 +INF . 2 -INF -130.552 +INF . 3 -INF -113.051 +INF . 4 -INF -97.840 +INF . 5 -INF -84.889 +INF . 6 -INF -73.891 +INF . 7 -INF -64.520 +INF . 8 -INF -56.494 +INF . 9 -INF -49.584 +INF . 10 -INF -43.608 +INF . 11 -INF -38.420 +INF . 12 -INF -33.895 +INF . 13 -INF -29.939 +INF . 14 -INF -26.470 +INF . 15 -INF -23.423 +INF . 16 -INF -20.742 +INF . 17 -INF -18.377 +INF . 18 -INF -16.288 +INF . 19 -INF -14.439 +INF . 20 -INF -12.799 +INF . 21 -INF -11.334 +INF . 22 -INF -10.006 +INF . 23 -INF -8.825 +INF . 24 -INF -7.778 +INF . 25 -INF -6.851 +INF . 26 -INF -6.031 +INF . 27 -INF -5.304 +INF . 28 -INF -4.659 +INF . 29 -INF -4.087 +INF . 30 -INF -3.578 +INF . 31 -INF -3.125 +INF . 32 -INF -2.721 +INF . 33 -INF -2.360 +INF . 34 -INF -2.038 +INF . 35 -INF -1.750 +INF . 36 -INF -1.491 +INF . 37 -INF -1.260 +INF . 38 -INF -1.052 +INF . 39 -INF -0.865 +INF . 40 -INF -0.697 +INF . 41 -INF -0.545 +INF . 42 -INF -0.442 +INF . 43 -INF -0.312 +INF . 44 -INF -0.193 +INF . 45 -INF -0.173 +INF . 46 -INF -0.229 +INF . 47 -INF -0.166 +INF . 48 -INF -0.103 +INF . 49 -INF -0.077 +INF . 50 -INF -0.258 +INF . 51 -INF 0.166 +INF . 52 -INF 0.329 +INF . 53 -INF 0.324 +INF . 54 -INF -0.603 +INF . 55 -INF 0.008 +INF . 56 -INF 0.097 +INF . 57 -INF 0.113 +INF . 58 -INF 0.072 +INF . 59 -INF 0.135 +INF . 60 -INF 0.103 +INF . 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 00:00:31 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/2429415/dice_orig_decade_sol.put EXECUTION TIME = 0.009 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/2429415/MODEL.gms Output /scratch/neos/solver/jobs/2429415/solve.out NEOS Server