NEOS Server Home ************************************************************* NEOS Server Version 5.0 Job# : 2429419 Password : obAalNyp Solver : nco:MINOS:GAMS Start : 2011-09-14 00:05:43 End : 2011-09-14 00:05:46 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 00:05:43 Page 1 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m C o m p i l a t i o n **** LIST OF STRAY NAMES - CHECK DECLARATIONS FOR SPURIOUS COMMAS **** STRAY NAME TOCE OF TYPE VAR COMPILATION TIME = 0.001 SECONDS 3 Mb LEX237-237 Jul 7, 2011 GAMS Rev 237 LEX-LEG 23.7.1 x86_64/Linux 09/14/11 00:05:43 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 314 MODEL STATISTICS BLOCKS OF EQUATIONS 30 SINGLE EQUATIONS 1,263 BLOCKS OF VARIABLES 24 SINGLE VARIABLES 1,381 300 projected NON ZERO ELEMENTS 3,767 NON LINEAR N-Z 1,080 DERIVATIVE POOL 6 CONSTANT POOL 327 CODE LENGTH 5,643 GENERATION TIME = 0.006 SECONDS 4 Mb LEX237-237 Jul 7, 2011 EXECUTION TIME = 0.008 SECONDS 4 Mb LEX237-237 Jul 7, 2011 GAMS Rev 237 LEX-LEG 23.7.1 x86_64/Linux 09/14/11 00:05:43 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 314 S O L V E S U M M A R Y MODEL CO2 OBJECTIVE UTILITY TYPE NLP DIRECTION MAXIMIZE SOLVER MINOS FROM LINE 314 **** SOLVER STATUS 5 Evaluation Interrupt **** MODEL STATUS 7 Intermediate Nonoptimal **** OBJECTIVE VALUE 112578.7001 RESOURCE USAGE, LIMIT 0.169 99999.000 ITERATION COUNT, LIMIT 573 99900 EVALUATION ERRORS 3 0 GAMS/MINOS Jul 14, 2011 23.7.1 LEX 26779.26792 LEG x86_64/Linux M I N O S 5.51 (Jun 2004) GAMS/MINOS 5.51, Large Scale Nonlinear Solver B. A. Murtagh, University of New South Wales P. E. Gill, University of California at San Diego, W. Murray, M. A. Saunders, and M. H. Wright, Systems Optimization Laboratory, Stanford University Work space allocated -- 4.03 Mb EXIT - Function evaluation error limit exceeded. **** ERRORS/WARNINGS IN EQUATION YY(5) 2 error(s): vcPower: FUNC DOMAIN: x**c, x < 0 (RETURNED 0) **** ERRORS/WARNINGS IN EQUATION ABATEEQ(5) 1 error(s): vcPower: FUNC DOMAIN: x**c, x < 0 (RETURNED 0) ---- EQU CCTFIRST First period cumulative carbon LOWER LEVEL UPPER MARGINAL 1 . . . -3.285 ---- EQU CCACCA Cumulative carbon emissions LOWER LEVEL UPPER MARGINAL 2 . . . -3.285 3 . . . -3.285 4 . . . -3.285 5 . . . -3.285 6 . . . -3.285 7 . . . -3.285 8 . . . -3.285 9 . . . -3.285 10 . . . -3.285 11 . . . -3.285 12 . . . -3.285 13 . . . -3.285 14 . . . -3.285 15 . . . -3.285 16 . . . -3.285 17 . . . -3.285 18 . . . -3.285 19 . . . -3.285 20 . . . -3.285 21 . . . -3.285 22 . . . -3.285 23 . . . -3.285 24 . . . -3.285 25 . . . -3.285 26 . . . -3.285 27 . . . -3.285 28 . . . -3.285 29 . . . -3.285 30 . . . -3.285 31 . . . -3.285 32 . . . -3.285 33 . . . -3.285 34 . . . -3.285 35 . . . -3.285 36 . . . -3.285 37 . . . -3.285 38 . . . -3.285 39 . . . -3.285 40 . . . -3.285 41 . . . -3.285 42 . . . -3.285 43 . . . -3.285 44 . . . -3.285 45 . . . -3.285 46 . . . -3.285 47 . . . -3.285 48 . . . -3.285 49 . . . -3.285 50 . . . -3.285 51 . . . -3.285 52 . . . -3.285 53 . . . -3.285 54 . . . -3.285 55 . . . -3.285 56 . . . -3.285 57 . . . -3.285 58 . . . -3.285 59 . . . -3.285 60 . . . -3.285 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 . . . 862.440 2 . . . 799.211 3 . . . 581.480 4 . . . 415.893 5 . . . 298.925 6 . . . 213.229 7 . . . 152.721 8 . . . 115.930 9 . . . 82.503 10 . . . 58.826 11 . . . 42.043 12 . . . 30.120 13 . . . 21.632 14 . . . 15.576 15 . . . 11.244 16 . . . 10.417 17 . . . 2.399 18 . . . 4.316 19 . . . 3.146 20 . . . 2.297 21 . . . 1.681 22 . . . 1.232 23 . . . 4.899 24 . . . 2.874 25 . . . 0.022 26 . . . 0.363 27 . . . 0.269 28 . . . 0.199 29 . . . 0.148 30 . . . -0.520 31 . . . -0.123 32 . . . 0.001 33 . . . 0.050 34 . . . 0.038 35 . . . 0.029 36 . . . 0.022 37 . . . 0.017 38 . . . -12.288 39 . . . 5.1992E-4 40 . . . 7.3649E-4 41 . . . 0.006 42 . . . 0.004 43 . . . 0.012 44 . . . -0.003 45 . . . 2.8816E-5 46 . . . 7.7737E-5 47 . . . 1.1315E-4 48 . . . 1.6387E-4 49 . . . 6.5543E-4 50 . . . -1.747E-4 51 . . . 1.6438E-5 52 . . . 7.7191E-6 53 . . . 1.0984E-5 54 . . . 1.5790E-5 55 . . . 2.3322E-5 56 . . . 3.8388E-5 57 . . . 9.5318E-5 58 . . . 6.2456E-6 59 . . . 9.4386E-6 60 . . . 1.5120E-5 ---- 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 . . . 861.134 2 . . . 796.984 3 . . . 579.244 4 . . . 413.678 5 . . . 296.078 6 . . . 211.060 7 . . . 150.840 8 . . . 111.236 9 . . . 79.336 10 . . . 56.696 11 . . . 40.608 12 . . . 29.153 13 . . . 20.979 14 . . . 15.133 15 . . . 10.942 16 . . . 10.326 17 . . . 2.336 18 . . . 4.205 19 . . . 3.068 20 . . . 2.243 21 . . . 1.643 22 . . . 1.206 23 . . . 4.798 24 . . . 2.817 25 . . . 5.006 26 . . . 0.356 27 . . . 0.264 28 . . . 0.196 29 . . . 0.146 30 . . . -0.516 31 . . . -0.121 32 . . . 0.001 33 . . . 0.047 34 . . . 0.036 35 . . . 0.027 36 . . . 0.020 37 . . . 0.015 38 . . . -11.281 39 . . . 0.015 40 . . . -0.012 41 . . . 0.006 42 . . . 0.005 43 . . . 0.052 44 . . . 0.004 45 . . . 5.9913E-4 46 . . . 8.5539E-7 47 . . . 8.4318E-6 48 . . . 5.3734E-6 49 . . . 6.1310E-4 50 . . . -3.546E-5 51 . . . 5.1436E-5 52 . . . 1.0645E-5 53 . . . 1.3759E-6 54 . . . 8.7811E-7 55 . . . 5.3988E-7 56 . . . 2.7290E-7 57 . . . 8.9172E-5 58 . . . 1.0387E-5 59 . . . 1.4245E-7 60 . . . 7.7480E-8 ---- 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 . . . 862.440 2 . . . 799.211 3 . . . 581.480 4 . . . 415.893 5 . . . 298.925 6 . . . 213.229 7 . . . 152.721 8 . . . 115.930 9 . . . 82.503 10 . . . 58.826 11 . . . 42.043 12 . . . 30.120 13 . . . 21.632 14 . . . 15.576 15 . . . 11.244 16 . . . 10.417 17 . . . 2.399 18 . . . 4.316 19 . . . 3.146 20 . . . 2.297 21 . . . 1.681 22 . . . 1.232 23 . . . 4.899 24 . . . 2.874 25 . . . 0.022 26 . . . 0.363 27 . . . 0.269 28 . . . 0.199 29 . . . 0.148 30 . . . -0.520 31 . . . -0.123 32 . . . 0.001 33 . . . 0.050 34 . . . 0.038 35 . . . 0.029 36 . . . 0.022 37 . . . 0.017 38 . . . -12.288 39 . . . 5.1992E-4 40 . . . 7.3649E-4 41 . . . 0.006 42 . . . 0.004 43 . . . 0.012 44 . . . -0.003 45 . . . 2.8816E-5 46 . . . 7.7737E-5 47 . . . 1.1315E-4 48 . . . 1.6387E-4 49 . . . 6.5543E-4 50 . . . -1.747E-4 51 . . . 1.6438E-5 52 . . . 7.7191E-6 53 . . . 1.0984E-5 54 . . . 1.5790E-5 55 . . . 2.3322E-5 56 . . . 3.8388E-5 57 . . . 9.5318E-5 58 . . . 6.2456E-6 59 . . . 9.4386E-6 60 . . . 1.5120E-5 ---- EQU KK Capital balance equation LOWER LEVEL UPPER MARGINAL 1 -INF . . 86.244 2 -INF . . 79.921 3 -INF . . 58.148 4 -INF . . 41.589 5 -INF . . 29.893 6 -INF . . 21.323 7 -INF . . 15.272 8 -INF . . 11.593 9 -INF . . 8.250 10 -INF . . 5.883 11 -INF . . 4.204 12 -INF . . 3.012 13 -INF . . 2.163 14 -INF . . 1.558 15 -INF . . 1.124 16 -INF . . 1.042 17 -INF . . 0.240 18 -INF . . 0.432 19 -INF . . 0.315 20 -INF . . 0.230 21 -INF . . 0.168 22 -INF . . 0.123 23 -INF . . 0.490 24 -INF . . 0.287 25 -INF . . 0.002 26 -INF . . 0.036 27 -INF . . 0.027 28 -INF . . 0.020 29 -INF . . 0.015 30 -INF . . -0.052 NOPT 31 -INF . . -0.012 NOPT 32 -INF . . 1.3955E-4 33 -INF . . 0.005 34 -INF . . 0.004 35 -INF . . 0.003 36 -INF . . 0.002 37 -INF . . 0.002 38 -INF . . -1.229 NOPT 39 -INF . . 5.1992E-5 40 -INF . . 7.3649E-5 41 -INF . . 5.7291E-4 42 -INF . . 4.3555E-4 43 -INF . . 0.001 44 -INF . . -2.755E-4 45 -INF . . 2.8816E-6 46 -INF . . 7.7737E-6 47 -INF . . 1.1315E-5 48 -INF . . 1.6387E-5 49 -INF . . 6.5543E-5 50 -INF . . -1.747E-5 51 -INF . . 1.6438E-6 52 -INF . . 7.7191E-7 53 -INF . . 1.0984E-6 54 -INF . . 1.5790E-6 55 -INF . . 2.3322E-6 56 -INF . . 3.8388E-6 57 -INF . . 9.5318E-6 58 -INF . . 6.2456E-7 59 -INF . . 9.4386E-7 60 -INF . . 1.5120E-6 ---- EQU KK0 Initial condition for capital LOWER LEVEL UPPER MARGINAL 1 137.000 137.000 137.000 134.139 ---- EQU InvestCond investment condition LOWER LEVEL UPPER MARGINAL 60 . . +INF . ---- 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 -5.551 2 9.900 9.900 9.900 -5.502 3 8.910 8.910 8.910 -4.965 4 8.019 8.019 8.019 -4.472 5 7.217 7.217 7.217 -4.039 6 6.495 6.495 6.495 -3.664 7 5.846 5.846 5.846 -3.345 8 5.261 5.261 5.261 -3.076 9 4.735 4.735 4.735 -2.847 10 4.262 4.262 4.262 -2.654 11 3.835 3.835 3.835 -2.492 12 3.452 3.452 3.452 -2.357 13 3.107 3.107 3.107 -2.243 14 2.796 2.796 2.796 -2.145 15 2.516 2.516 2.516 -2.058 16 2.265 2.265 2.265 -1.980 17 2.038 2.038 2.038 -1.916 18 1.834 1.834 1.834 -1.858 19 1.651 1.651 1.651 -1.799 20 1.486 1.486 1.486 -1.740 21 1.337 1.337 1.337 -1.678 22 1.204 1.204 1.204 -1.608 23 1.083 1.083 1.083 -1.519 24 0.975 0.975 0.975 -1.418 25 0.877 0.877 0.877 -1.338 26 0.790 0.790 0.790 -1.277 27 0.711 0.711 0.711 -1.213 28 0.640 0.640 0.640 -1.151 29 0.576 0.576 0.576 -1.093 30 0.518 0.518 0.518 -1.040 31 0.466 0.466 0.466 -0.977 32 0.420 0.420 0.420 -0.888 33 0.378 0.378 0.378 -0.779 34 0.340 0.340 0.340 -0.660 35 0.306 0.306 0.306 -0.540 36 0.275 0.275 0.275 -0.429 37 0.248 0.248 0.248 -0.356 38 0.223 0.223 0.223 -0.385 39 0.201 0.201 0.201 -0.316 40 0.181 0.181 0.181 6.1937E-4 41 0.163 0.163 0.163 0.459 42 0.146 0.146 0.146 1.086 43 0.132 0.132 0.132 1.956 44 0.119 0.119 0.119 3.176 45 0.107 0.107 0.107 -3.285 46 0.096 0.096 0.096 -3.285 47 0.086 0.086 0.086 -3.285 48 0.078 0.078 0.078 -3.285 49 0.070 0.070 0.070 -3.285 50 0.063 0.063 0.063 -3.285 51 0.057 0.057 0.057 -3.285 52 0.051 0.051 0.051 -3.285 53 0.046 0.046 0.046 -3.285 54 0.041 0.041 0.041 -3.285 55 0.037 0.037 0.037 -3.285 56 0.033 0.033 0.033 -3.285 57 0.030 0.030 0.030 -3.285 58 0.027 0.027 0.027 -3.285 59 0.024 0.024 0.024 -3.285 60 0.022 0.022 0.022 EPS ---- EQU SEQ Savings rate 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 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 -150.886 3 0.012 0.012 0.012 -142.245 4 0.048 0.048 0.048 -127.753 5 0.084 0.084 0.084 -110.584 6 0.120 0.120 0.120 -92.963 7 0.156 0.156 0.156 -76.589 8 0.192 0.192 0.192 -61.826 9 0.228 0.228 0.228 -48.007 10 0.264 0.264 0.264 -36.862 11 0.300 0.300 0.300 -28.135 12 0.300 0.300 0.300 -21.385 13 0.300 0.300 0.300 -16.254 14 0.300 0.300 0.300 -12.423 15 0.300 0.300 0.300 -9.649 16 0.300 0.300 0.300 -7.777 17 0.300 0.300 0.300 -4.521 18 0.300 0.300 0.300 -4.537 19 0.300 0.300 0.300 -3.640 20 0.300 0.300 0.300 -3.222 21 0.300 0.300 0.300 -3.373 22 0.300 0.300 0.300 -4.252 23 0.300 0.300 0.300 -6.128 24 0.300 0.300 0.300 -4.099 25 0.300 0.300 0.300 2.896 26 0.300 0.300 0.300 3.168 27 0.300 0.300 0.300 3.975 28 0.300 0.300 0.300 5.033 29 0.300 0.300 0.300 6.508 30 0.300 0.300 0.300 8.649 31 0.300 0.300 0.300 10.449 32 0.300 0.300 0.300 12.850 33 0.300 0.300 0.300 18.057 34 0.300 0.300 0.300 26.339 35 0.300 0.300 0.300 39.066 36 0.300 0.300 0.300 58.686 37 0.300 0.300 0.300 88.996 38 0.300 0.300 0.300 135.890 39 0.300 0.300 0.300 9.841 40 0.300 0.300 0.300 0.705 41 0.300 0.300 0.300 0.875 42 0.300 0.300 0.300 1.361 43 0.300 0.300 0.300 2.087 44 0.300 0.300 0.300 1.226 45 0.300 0.300 0.300 0.201 46 0.300 0.300 0.300 0.078 47 0.300 0.300 0.300 0.028 48 0.300 0.300 0.300 0.012 49 0.300 0.300 0.300 0.013 50 0.300 0.300 0.300 0.032 51 0.300 0.300 0.300 0.022 52 0.300 0.300 0.300 0.013 53 0.300 0.300 0.300 0.003 54 0.300 0.300 0.300 -2.362E-4 55 0.300 0.300 0.300 -0.002 56 0.300 0.300 0.300 -0.002 57 0.300 0.300 0.300 -0.002 58 0.300 0.300 0.300 3.3397E-4 59 0.300 0.300 0.300 -1.852E-4 60 0.300 0.300 0.300 -2.114E-4 ---- EQU MMAT0 Starting atmospheric concentration LOWER LEVEL UPPER MARGINAL 1 808.900 808.900 808.900 -1.878 ---- EQU MMAT Atmospheric concentration equation LOWER LEVEL UPPER MARGINAL 2 . . . -2.266 3 . . . -2.217 4 . . . -1.680 5 . . . -1.187 6 . . . -0.753 7 . . . -0.378 8 . . . -0.060 9 . . . 0.209 10 . . . 0.438 11 . . . 0.632 12 . . . 0.793 13 . . . 0.928 14 . . . 1.042 15 . . . 1.140 16 . . . 1.227 17 . . . 1.305 18 . . . 1.369 19 . . . 1.427 20 . . . 1.486 21 . . . 1.545 22 . . . 1.607 23 . . . 1.678 24 . . . 1.766 25 . . . 1.867 26 . . . 1.947 27 . . . 2.009 28 . . . 2.072 29 . . . 2.134 30 . . . 2.192 31 . . . 2.245 32 . . . 2.309 33 . . . 2.397 34 . . . 2.506 35 . . . 2.625 36 . . . 2.746 37 . . . 2.856 38 . . . 2.929 39 . . . 2.900 40 . . . 2.970 41 . . . 3.286 42 . . . 3.744 43 . . . 4.371 44 . . . 5.241 45 . . . 6.461 46 . . . 3.9541E-4 47 . . . 2.1814E-4 48 . . . 1.6064E-4 49 . . . 1.6887E-4 50 . . . 1.9012E-4 51 . . . 1.7474E-4 52 . . . 1.2441E-4 53 . . . 7.3901E-5 54 . . . 3.7427E-5 55 . . . 2.1015E-5 56 . . . 1.5659E-5 57 . . . 1.5836E-5 58 . . . 1.6939E-5 59 . . . 1.1794E-5 60 . . . 4.2220E-6 ---- EQU MMATAVEQ Average concentrations equation LOWER LEVEL UPPER MARGINAL 1 . . . EPS 2 . . . -0.935 3 . . . -0.840 4 . . . -0.720 5 . . . -0.607 6 . . . -0.505 7 . . . -0.411 8 . . . -0.337 9 . . . -0.272 10 . . . -0.215 11 . . . -0.169 12 . . . -0.131 13 . . . -0.101 14 . . . -0.079 15 . . . -0.062 16 . . . -0.047 17 . . . -0.026 18 . . . -0.027 19 . . . -0.022 20 . . . -0.020 21 . . . -0.022 22 . . . -0.027 23 . . . -0.040 24 . . . -0.027 25 . . . 0.019 26 . . . 0.021 27 . . . 0.027 28 . . . 0.036 29 . . . 0.047 30 . . . 0.055 31 . . . 0.039 32 . . . 0.030 33 . . . 0.035 34 . . . 0.055 35 . . . 0.081 36 . . . 0.127 37 . . . 0.198 38 . . . 0.336 39 . . . 0.047 40 . . . 0.001 41 . . . 0.002 42 . . . 0.003 43 . . . 0.004 44 . . . 0.002 45 . . . 2.8552E-4 46 . . . 1.2634E-4 47 . . . 2.6798E-5 48 . . . 1.3591E-6 49 . . . 1.3688E-5 50 . . . 7.3858E-5 51 . . . 6.8266E-5 52 . . . 5.7332E-5 53 . . . 2.7409E-5 54 . . . 1.1494E-5 55 . . . 3.6191E-6 56 . . . 9.1569E-7 57 . . . 2.7244E-6 58 . . . 1.1876E-5 59 . . . 4.8653E-6 60 . . . 3.5788E-6 ---- EQU MMU0 Initial shallow ocean concentration LOWER LEVEL UPPER MARGINAL 1 1255.000 1255.000 1255.000 -0.396 ---- EQU MMU Shallow ocean concentration LOWER LEVEL UPPER MARGINAL 2 . . . -0.215 3 . . . -0.008 4 . . . 0.173 5 . . . 0.330 6 . . . 0.464 7 . . . 0.578 8 . . . 0.677 9 . . . 0.761 10 . . . 0.834 11 . . . 0.898 12 . . . 0.955 13 . . . 1.006 14 . . . 1.053 15 . . . 1.097 16 . . . 1.139 17 . . . 1.180 18 . . . 1.221 19 . . . 1.262 20 . . . 1.304 21 . . . 1.347 22 . . . 1.391 23 . . . 1.434 24 . . . 1.474 25 . . . 1.511 26 . . . 1.544 27 . . . 1.577 28 . . . 1.609 29 . . . 1.639 30 . . . 1.668 31 . . . 1.697 32 . . . 1.723 33 . . . 1.745 34 . . . 1.757 35 . . . 1.759 36 . . . 1.748 37 . . . 1.722 38 . . . 1.684 39 . . . 1.643 40 . . . 1.588 41 . . . 1.487 42 . . . 1.316 43 . . . 1.045 44 . . . 0.628 45 . . . 1.0513E-4 46 . . . 7.8157E-5 47 . . . 6.6743E-5 48 . . . 5.9923E-5 49 . . . 5.0998E-5 50 . . . 3.8115E-5 51 . . . 2.4768E-5 52 . . . 1.4856E-5 53 . . . 8.9924E-6 54 . . . 6.2757E-6 55 . . . 4.9618E-6 56 . . . 4.0324E-6 57 . . . 2.9230E-6 58 . . . 1.4965E-6 59 . . . 4.1044E-7 60 . . . EPS ---- EQU MML0 Initial lower ocean concentration LOWER LEVEL UPPER MARGINAL 1 18365.000 18365.000 18365.000 0.148 ---- EQU MML Lower ocean concentration LOWER LEVEL UPPER MARGINAL 2 . . . 0.150 3 . . . 0.150 4 . . . 0.150 5 . . . 0.149 6 . . . 0.148 7 . . . 0.147 8 . . . 0.145 9 . . . 0.144 10 . . . 0.141 11 . . . 0.139 12 . . . 0.136 13 . . . 0.134 14 . . . 0.131 15 . . . 0.128 16 . . . 0.125 17 . . . 0.121 18 . . . 0.118 19 . . . 0.114 20 . . . 0.111 21 . . . 0.107 22 . . . 0.103 23 . . . 0.099 24 . . . 0.094 25 . . . 0.090 26 . . . 0.085 27 . . . 0.081 28 . . . 0.076 29 . . . 0.071 30 . . . 0.066 31 . . . 0.061 32 . . . 0.056 33 . . . 0.050 34 . . . 0.045 35 . . . 0.040 36 . . . 0.034 37 . . . 0.029 38 . . . 0.024 39 . . . 0.019 40 . . . 0.014 41 . . . 0.009 42 . . . 0.005 43 . . . 0.002 44 . . . 1.4461E-6 45 . . . 1.1217E-6 46 . . . 8.8070E-7 47 . . . 6.7466E-7 48 . . . 4.8931E-7 49 . . . 3.3131E-7 50 . . . 2.1311E-7 51 . . . 1.3629E-7 52 . . . 9.0242E-8 53 . . . 6.2393E-8 54 . . . 4.2956E-8 55 . . . 2.7568E-8 56 . . . 1.5040E-8 57 . . . 5.9429E-9 58 . . . 1.2800E-9 59 . . . EPS 60 . . . EPS ---- EQU TATMEQ Temperature-climate equation for atmosphere LOWER LEVEL UPPER MARGINAL 2 . . . -685.845 3 . . . -646.568 4 . . . -580.694 5 . . . -502.654 6 . . . -422.559 7 . . . -348.132 8 . . . -281.026 9 . . . -218.214 10 . . . -167.556 11 . . . -127.887 12 . . . -97.207 13 . . . -73.883 14 . . . -56.468 15 . . . -43.861 16 . . . -35.352 17 . . . -20.552 18 . . . -20.621 19 . . . -16.546 20 . . . -14.645 21 . . . -15.334 22 . . . -19.326 23 . . . -27.853 24 . . . -18.630 25 . . . 13.163 26 . . . 14.398 27 . . . 18.066 28 . . . 22.878 29 . . . 29.583 30 . . . 39.315 31 . . . 47.495 32 . . . 58.409 33 . . . 82.079 34 . . . 119.721 35 . . . 177.575 36 . . . 266.755 37 . . . 404.527 38 . . . 617.680 39 . . . 44.733 40 . . . 3.206 41 . . . 3.979 42 . . . 6.188 43 . . . 9.489 44 . . . 5.573 45 . . . 0.915 46 . . . 0.353 47 . . . 0.125 48 . . . 0.054 49 . . . 0.058 50 . . . 0.147 51 . . . 0.099 52 . . . 0.057 53 . . . 0.015 54 . . . -0.001 55 . . . -0.007 56 . . . -0.009 57 . . . -0.008 58 . . . 0.002 59 . . . -8.419E-4 60 . . . -9.608E-4 ---- EQU TATM0EQ Initial condition for atmospheric temperature LOWER LEVEL UPPER MARGINAL 1 0.731 0.731 0.731 -657.094 ---- EQU TOCEANEQ Temperature-climate equation for lower oceans LOWER LEVEL UPPER MARGINAL 2 . . . -181.322 3 . . . -145.946 4 . . . -113.284 5 . . . -84.325 6 . . . -59.406 7 . . . -38.347 8 . . . -20.841 9 . . . -6.778 10 . . . 4.506 11 . . . 13.628 12 . . . 21.098 13 . . . 27.342 14 . . . 32.704 15 . . . 37.472 16 . . . 41.900 17 . . . 45.533 18 . . . 49.363 19 . . . 53.110 20 . . . 56.923 21 . . . 60.984 22 . . . 65.536 23 . . . 70.921 24 . . . 75.948 25 . . . 79.030 26 . . . 82.190 27 . . . 85.260 28 . . . 88.158 29 . . . 90.743 30 . . . 92.788 31 . . . 94.371 32 . . . 95.281 33 . . . 94.593 34 . . . 91.254 35 . . . 83.720 36 . . . 69.594 37 . . . 45.153 38 . . . 4.617 39 . . . 1.752 40 . . . 1.621 41 . . . 1.430 42 . . . 1.076 43 . . . 0.473 44 . . . 0.111 45 . . . 0.053 46 . . . 0.031 47 . . . 0.024 48 . . . 0.022 49 . . . 0.019 50 . . . 0.010 51 . . . 0.003 52 . . . -4.417E-4 53 . . . -0.002 54 . . . -0.002 55 . . . -0.001 56 . . . -5.096E-4 57 . . . -9.826E-6 58 . . . -1.158E-4 59 . . . -6.341E-5 60 . . . EPS ---- EQU TOCEAN0EQ Initial condition for lower ocean temperature LOWER LEVEL UPPER MARGINAL 1 0.007 0.007 0.007 -217.521 ---- 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 0.005 408.246 2 . . 1.000 -842.173 3 . . 1.000 396.655 NOPT 4 . . 1.000 378.475 NOPT 5 . . 1.000 -191.279 NOPT 6 . 0.088 1.000 2.595 NOPT 7 . 0.099 1.000 . 8 . 1.000 1.000 -844.235 NOPT 9 . 1.000 1.000 -537.965 NOPT 10 . 1.000 1.000 -318.396 NOPT 11 . 1.000 1.000 -160.517 NOPT 12 . 1.000 1.000 -46.417 NOPT 13 . 1.000 1.000 36.543 14 . 1.000 1.000 97.266 15 . 1.000 1.000 141.960 16 . . 1.000 270.016 NOPT 17 . 1.000 1.000 369.516 18 . 1.000 1.000 221.171 19 . 1.000 1.000 236.370 20 . 1.000 1.000 247.992 21 . 1.000 1.000 256.352 22 . 1.000 1.000 261.037 23 . 1.000 1.000 205.066 24 . 1.000 1.000 580.531 25 . 1.000 1.000 1041.037 26 . 1.000 1.000 254.135 27 . 1.000 1.000 252.999 28 . 1.000 1.000 251.152 29 . 1.000 1.000 249.410 30 . . 1.000 249.981 NOPT 31 . . 1.000 872.074 NOPT 32 . . 1.000 1266.842 NOPT 33 . 1.000 1.000 211.534 34 . . 1.000 187.861 NOPT 35 . . 1.000 160.190 NOPT 36 . 1.000 1.000 132.556 37 . . 1.000 115.139 NOPT 38 . . 1.000 178.623 NOPT 39 . 0.590 1.000 525.597 NOPT 40 . 0.772 1.000 . 41 . 1.000 1.000 -175.917 NOPT 42 . 1.000 1.000 -434.461 NOPT 43 . . 1.000 -816.173 44 . 1.000 1.000 -6175.593 NOPT 45 . 1.000 1.000 10896.736 46 . 1.000 1.000 6695.091 47 . 1.000 1.000 5044.212 48 . 1.000 1.000 3780.464 49 . 1.000 1.000 1766.635 50 . 1.000 1.000 2859.748 51 . 1.000 1.000 11224.418 52 . 1.000 1.000 12091.822 53 . 1.000 1.000 9232.804 54 . 1.000 1.000 7021.669 55 . 1.000 1.000 5271.023 56 . 1.000 1.000 3754.610 57 . 1.000 1.000 2462.834 58 . 1.000 1.000 7783.048 59 . 1.000 1.000 5790.308 60 . 1.000 1.000 -0.001 NOPT ---- VAR FORC Radiative forcing in watts per m2 LOWER LEVEL UPPER MARGINAL 1 -INF 1.791 +INF . 2 -INF 2.146 +INF . 3 -INF 2.455 +INF . 4 -INF 2.742 +INF . 5 -INF 3.017 +INF . 6 -INF 3.261 +INF . 7 -INF 3.474 +INF . 8 -INF 3.453 +INF . 9 -INF 3.228 +INF . 10 -INF 3.060 +INF . 11 -INF 2.933 +INF . 12 -INF 2.802 +INF . 13 -INF 2.694 +INF . 14 -INF 2.601 +INF . 15 -INF 2.521 +INF . 16 -INF 2.857 +INF . 17 -INF 3.110 +INF . 18 -INF 2.933 +INF . 19 -INF 2.791 +INF . 20 -INF 2.674 +INF . 21 -INF 2.577 +INF . 22 -INF 2.492 +INF . 23 -INF 2.418 +INF . 24 -INF 2.352 +INF . 25 -INF 2.291 +INF . 26 -INF 2.234 +INF . 27 -INF 2.180 +INF . 28 -INF 2.130 +INF . 29 -INF 2.081 +INF . 30 -INF 2.785 +INF . 31 -INF 5.254 +INF . 32 -INF 8.149 +INF . 33 -INF 8.959 +INF . 34 -INF 8.532 +INF . 35 -INF 8.539 +INF . 36 -INF 8.295 +INF . 37 -INF 8.161 +INF . 38 -INF 8.487 +INF . 39 -INF 9.096 +INF . 40 -INF 9.471 +INF . 41 -INF 9.189 +INF . 42 -INF 8.739 +INF . 43 -INF 8.794 +INF . 44 -INF 8.851 +INF . 45 -INF 8.494 +INF . 46 -INF 8.198 +INF . 47 -INF 7.950 +INF . 48 -INF 7.736 +INF . 49 -INF 7.549 +INF . 50 -INF 7.382 +INF . 51 -INF 7.230 +INF . 52 -INF 7.088 +INF . 53 -INF 6.955 +INF . 54 -INF 6.828 +INF . 55 -INF 6.707 +INF . 56 -INF 6.589 +INF . 57 -INF 6.474 +INF . 58 -INF 6.363 +INF . 59 -INF 6.254 +INF . 60 -INF 2.400 +INF . ---- VAR TATM Temperature of atmosphere in degrees C LOWER LEVEL UPPER MARGINAL 1 . 0.731 20.000 . 2 . 0.951 20.000 . 3 . 1.166 20.000 . 4 . 1.373 20.000 . 5 . 1.573 20.000 . 6 . 1.762 20.000 . 7 . 1.937 20.000 . 8 . 2.052 20.000 . 9 . 2.083 20.000 . 10 . 2.072 20.000 . 11 . 2.042 20.000 . 12 . 1.998 20.000 . 13 . 1.950 20.000 . 14 . 1.903 20.000 . 15 . 1.858 20.000 . 16 . 1.906 20.000 . 17 . 1.996 20.000 . 18 . 2.019 20.000 . 19 . 2.006 20.000 . 20 . 1.976 20.000 . 21 . 1.937 20.000 . 22 . 1.896 20.000 . 23 . 1.855 20.000 . 24 . 1.816 20.000 . 25 . 1.779 20.000 . 26 . 1.744 20.000 . 27 . 1.711 20.000 . 28 . 1.679 20.000 . 29 . 1.649 20.000 . 30 . 1.785 20.000 . 31 . 2.418 20.000 . 32 . 3.471 20.000 . 33 . 4.343 20.000 . 34 . 4.827 20.000 . 35 . 5.155 20.000 . 36 . 5.326 20.000 . 37 . 5.420 20.000 . 38 . 5.564 20.000 . 39 . 5.803 20.000 . 40 . 6.053 20.000 . 41 . 6.165 20.000 . 42 . 6.151 20.000 . 43 . 6.164 20.000 . 44 . 6.196 20.000 . 45 . 6.149 20.000 . 46 . 6.062 20.000 . 47 . 5.959 20.000 . 48 . 5.853 20.000 . 49 . 5.749 20.000 . 50 . 5.652 20.000 . 51 . 5.560 20.000 . 52 . 5.474 20.000 . 53 . 5.393 20.000 . 54 . 5.317 20.000 . 55 . 5.244 20.000 . 56 . 5.173 20.000 . 57 . 5.105 20.000 . 58 . 5.038 20.000 . 59 . 4.972 20.000 . 60 . 4.083 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 0.272 20.000 . 7 -1.000 0.347 20.000 . 8 -1.000 0.426 20.000 . 9 -1.000 0.508 20.000 . 10 -1.000 0.586 20.000 . 11 -1.000 0.661 20.000 . 12 -1.000 0.730 20.000 . 13 -1.000 0.793 20.000 . 14 -1.000 0.851 20.000 . 15 -1.000 0.904 20.000 . 16 -1.000 0.951 20.000 . 17 -1.000 0.999 20.000 . 18 -1.000 1.049 20.000 . 19 -1.000 1.097 20.000 . 20 -1.000 1.143 20.000 . 21 -1.000 1.184 20.000 . 22 -1.000 1.222 20.000 . 23 -1.000 1.256 20.000 . 24 -1.000 1.286 20.000 . 25 -1.000 1.312 20.000 . 26 -1.000 1.336 20.000 . 27 -1.000 1.356 20.000 . 28 -1.000 1.374 20.000 . 29 -1.000 1.389 20.000 . 30 -1.000 1.402 20.000 . 31 -1.000 1.421 20.000 . 32 -1.000 1.471 20.000 . 33 -1.000 1.571 20.000 . 34 -1.000 1.710 20.000 . 35 -1.000 1.865 20.000 . 36 -1.000 2.030 20.000 . 37 -1.000 2.195 20.000 . 38 -1.000 2.356 20.000 . 39 -1.000 2.516 20.000 . 40 -1.000 2.681 20.000 . 41 -1.000 2.849 20.000 . 42 -1.000 3.015 20.000 . 43 -1.000 3.172 20.000 . 44 -1.000 3.321 20.000 . 45 -1.000 3.465 20.000 . 46 -1.000 3.599 20.000 . 47 -1.000 3.722 20.000 . 48 -1.000 3.834 20.000 . 49 -1.000 3.935 20.000 . 50 -1.000 4.026 20.000 . 51 -1.000 4.107 20.000 . 52 -1.000 4.180 20.000 . 53 -1.000 4.245 20.000 . 54 -1.000 4.302 20.000 . 55 -1.000 4.353 20.000 . 56 -1.000 4.397 20.000 . 57 -1.000 4.436 20.000 . 58 -1.000 4.469 20.000 . 59 -1.000 4.498 20.000 . 60 -1.000 4.522 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 10.000 908.587 +INF . 4 10.000 953.023 +INF . 5 10.000 996.402 +INF . 6 10.000 1038.889 +INF . 7 10.000 1072.506 +INF . 8 10.000 1105.920 +INF . 9 10.000 1049.298 +INF . 10 10.000 1007.100 +INF . 11 10.000 974.990 +INF . 12 10.000 949.956 +INF . 13 10.000 929.907 +INF . 14 10.000 913.392 +INF . 15 10.000 899.402 +INF . 16 10.000 887.236 +INF . 17 10.000 1012.754 +INF . 18 10.000 977.110 +INF . 19 10.000 949.621 +INF . 20 10.000 927.876 +INF . 21 10.000 910.200 +INF . 22 10.000 895.428 +INF . 23 10.000 882.751 +INF . 24 10.000 871.604 +INF . 25 10.000 861.593 +INF . 26 10.000 852.442 +INF . 27 10.000 843.958 +INF . 28 10.000 836.006 +INF . 29 10.000 828.488 +INF . 30 10.000 821.337 +INF . 31 10.000 1054.832 +INF . 32 10.000 1889.360 +INF . 33 10.000 3103.227 +INF . 34 10.000 2685.170 +INF . 35 10.000 2668.745 +INF . 36 10.000 2692.435 +INF . 37 10.000 2435.483 +INF . 38 10.000 2568.569 +INF . 39 10.000 2736.674 +INF . 40 10.000 3193.946 +INF . 41 10.000 3150.872 +INF . 42 10.000 2880.332 +INF . 43 10.000 2676.930 +INF . 44 10.000 2937.953 +INF . 45 10.000 2736.024 +INF -6.459 NOPT 46 10.000 2580.274 +INF . 47 10.000 2457.024 +INF . 48 10.000 2356.923 +INF . 49 10.000 2273.385 +INF . 50 10.000 2201.822 +INF . 51 10.000 2139.031 +INF . 52 10.000 2082.774 +INF . 53 10.000 2031.483 +INF . 54 10.000 1984.053 +INF . 55 10.000 1939.704 +INF . 56 10.000 1897.880 +INF . 57 10.000 1858.184 +INF . 58 10.000 1820.325 +INF . 59 10.000 1784.091 +INF . 60 10.000 1749.322 +INF . ---- VAR MATAV Average concentrations LOWER LEVEL UPPER MARGINAL 1 . 836.004 +INF . 2 . 885.848 +INF . 3 . 930.805 +INF . 4 . 974.712 +INF . 5 . 1017.645 +INF . 6 . 1055.697 +INF . 7 . 1089.213 +INF . 8 . 1077.609 +INF . 9 . 1028.199 +INF . 10 . 991.045 +INF . 11 . 962.473 +INF . 12 . 939.932 +INF . 13 . 921.650 +INF . 14 . 906.397 +INF . 15 . 893.319 +INF . 16 . 949.995 +INF . 17 . 994.932 +INF . 18 . 963.366 +INF . 19 . 938.748 +INF . 20 . 919.038 +INF . 21 . 902.814 +INF . 22 . 889.090 +INF . 23 . 877.178 +INF . 24 . 866.598 +INF . 25 . 857.017 +INF . 26 . 848.200 +INF . 27 . 839.982 +INF . 28 . 832.247 +INF . 29 . 824.913 +INF . 30 . 938.084 +INF . 31 . 1472.096 +INF . 32 . 2496.294 +INF . 33 . 2894.199 +INF . 34 . 2676.957 +INF . 35 . 2680.590 +INF . 36 . 2563.959 +INF . 37 . 2502.026 +INF . 38 . 2652.622 +INF . 39 . 2965.310 +INF . 40 . 3172.409 +INF . 41 . 3015.602 +INF . 42 . 2778.631 +INF . 43 . 2807.442 +INF . 44 . 2836.989 +INF . 45 . 2658.149 +INF . 46 . 2518.649 +INF . 47 . 2406.973 +INF . 48 . 2315.154 +INF . 49 . 2237.603 +INF . 50 . 2170.426 +INF . 51 . 2110.903 +INF . 52 . 2057.129 +INF . 53 . 2007.768 +INF . 54 . 1961.878 +INF . 55 . 1918.792 +INF . 56 . 1878.032 +INF . 57 . 1839.254 +INF . 58 . 1802.208 +INF . 59 . 1766.706 +INF . 60 . 874.661 +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 1348.812 +INF . 5 100.000 1387.982 +INF . 6 100.000 1429.628 +INF . 7 100.000 1473.223 +INF . 8 100.000 1516.807 +INF . 9 100.000 1560.351 +INF . 10 100.000 1586.823 +INF . 11 100.000 1601.475 +INF . 12 100.000 1607.960 +INF . 13 100.000 1608.821 +INF . 14 100.000 1605.831 +INF . 15 100.000 1600.225 +INF . 16 100.000 1592.867 +INF . 17 100.000 1584.357 +INF . 18 100.000 1600.927 +INF . 19 100.000 1608.376 +INF . 20 100.000 1609.594 +INF . 21 100.000 1606.585 +INF . 22 100.000 1600.743 +INF . 23 100.000 1593.033 +INF . 24 100.000 1584.126 +INF . 25 100.000 1574.485 +INF . 26 100.000 1564.434 +INF . 27 100.000 1554.192 +INF . 28 100.000 1543.914 +INF . 29 100.000 1533.702 +INF . 30 100.000 1523.628 +INF . 31 100.000 1513.738 +INF . 32 100.000 1549.556 +INF . 33 100.000 1738.120 +INF . 34 100.000 2128.752 +INF . 35 100.000 2382.832 +INF . 36 100.000 2596.546 +INF . 37 100.000 2783.469 +INF . 38 100.000 2894.456 +INF . 39 100.000 3014.544 +INF . 40 100.000 3149.037 +INF . 41 100.000 3350.570 +INF . 42 100.000 3514.583 +INF . 43 100.000 3603.574 +INF . 44 100.000 3641.320 +INF . 45 100.000 3723.288 +INF . 46 100.000 3755.342 +INF . 47 100.000 3753.581 +INF . 48 100.000 3729.140 +INF . 49 100.000 3689.737 +INF . 50 100.000 3640.706 +INF . 51 100.000 3585.724 +INF . 52 100.000 3527.317 +INF . 53 100.000 3467.218 +INF . 54 100.000 3406.605 +INF . 55 100.000 3346.274 +INF . 56 100.000 3286.756 +INF . 57 100.000 3228.400 +INF . 58 100.000 3171.426 +INF . 59 100.000 3115.969 +INF . 60 100.000 3062.104 +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 18395.651 +INF . 6 1000.000 18407.682 +INF . 7 1000.000 18421.758 +INF . 8 1000.000 18437.969 +INF . 9 1000.000 18456.309 +INF . 10 1000.000 18476.769 +INF . 11 1000.000 18498.489 +INF . 12 1000.000 18520.874 +INF . 13 1000.000 18543.513 +INF . 14 1000.000 18566.125 +INF . 15 1000.000 18588.517 +INF . 16 1000.000 18610.558 +INF . 17 1000.000 18632.163 +INF . 18 1000.000 18653.275 +INF . 19 1000.000 18675.150 +INF . 20 1000.000 18697.329 +INF . 21 1000.000 18719.499 +INF . 22 1000.000 18741.450 +INF . 23 1000.000 18763.041 +INF . 24 1000.000 18784.178 +INF . 25 1000.000 18804.805 +INF . 26 1000.000 18824.885 +INF . 27 1000.000 18844.400 +INF . 28 1000.000 18863.342 +INF . 29 1000.000 18881.711 +INF . 30 1000.000 18899.512 +INF . 31 1000.000 18916.753 +INF . 32 1000.000 18933.447 +INF . 33 1000.000 18951.879 +INF . 34 1000.000 18979.682 +INF . 35 1000.000 19026.930 +INF . 36 1000.000 19086.735 +INF . 37 1000.000 19157.039 +INF . 38 1000.000 19236.470 +INF . 39 1000.000 19321.202 +INF . 40 1000.000 19411.675 +INF . 41 1000.000 19508.590 +INF . 42 1000.000 19615.279 +INF . 43 1000.000 19729.837 +INF . 44 1000.000 19848.486 +INF . 45 1000.000 19968.653 +INF . 46 1000.000 20092.544 +INF . 47 1000.000 20217.651 +INF . 48 1000.000 20342.280 +INF . 49 1000.000 20465.298 +INF . 50 1000.000 20585.962 +INF . 51 1000.000 20703.798 +INF . 52 1000.000 20818.518 +INF . 53 1000.000 20929.960 +INF . 54 1000.000 21038.049 +INF . 55 1000.000 21142.770 +INF . 56 1000.000 21244.149 +INF . 57 1000.000 21342.235 +INF . 58 1000.000 21437.098 +INF . 59 1000.000 21528.816 +INF . 60 1000.000 21617.475 +INF . ---- VAR E CO2-equivalent emissions GtC LOWER LEVEL UPPER MARGINAL 1 . 85.320 +INF . 2 . 84.361 +INF . 3 . 88.801 +INF . 4 . 92.653 +INF . 5 . 96.163 +INF . 6 . 91.288 +INF . 7 . 93.210 +INF . 8 . 5.261 +INF . 9 . 4.735 +INF . 10 . 4.262 +INF . 11 . 3.835 +INF . 12 . 3.452 +INF . 13 . 3.107 +INF . 14 . 2.796 +INF . 15 . 2.516 +INF . 16 . 138.614 +INF . 17 . 2.038 +INF . 18 . 1.834 +INF . 19 . 1.651 +INF . 20 . 1.486 +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 . 240.847 +INF . 31 . 887.040 +INF . 32 . 1420.863 +INF . 33 . 0.378 +INF . 34 . 284.903 +INF . 35 . 297.208 +INF . 36 . 0.275 +INF . 37 . 323.504 +INF . 38 . 372.925 +INF . 39 . 682.238 +INF . 40 . 255.374 +INF . 41 . 0.163 +INF . 42 . 0.146 +INF . 43 . 417.419 +INF . 44 . 0.206 +INF . 45 . 0.194 +INF . 46 . 0.096 +INF . 47 . 0.086 +INF . 48 . 0.078 +INF . 49 . 0.070 +INF . 50 . 0.063 +INF . 51 . 0.057 +INF . 52 . 0.051 +INF . 53 . 0.046 +INF . 54 . 0.041 +INF . 55 . 0.037 +INF . 56 . 0.033 +INF . 57 . 0.030 +INF . 58 . 0.027 +INF . 59 . 0.024 +INF . 60 . 0.022 +INF . ---- VAR C Consumption trillions US dollars LOWER LEVEL UPPER MARGINAL 1 20.000 50.360 +INF . 2 20.000 53.153 +INF . 3 20.000 61.366 +INF . 4 20.000 70.080 +INF . 5 20.000 79.532 +INF . 6 20.000 88.650 +INF . 7 20.000 98.613 +INF . 8 20.000 105.246 +INF . 9 20.000 116.516 +INF . 10 20.000 128.650 +INF . 11 20.000 141.708 +INF . 12 20.000 155.769 +INF . 13 20.000 170.900 +INF . 14 20.000 187.177 +INF . 15 20.000 204.678 +INF . 16 20.000 209.370 +INF . 17 20.000 344.685 +INF . 18 20.000 264.583 +INF . 19 20.000 287.733 +INF . 20 20.000 312.621 +INF . 21 20.000 339.324 +INF . 22 20.000 367.932 +INF . 23 20.000 165.891 +INF . 24 20.000 215.808 +INF . 25 20.000 2228.459 +INF . 26 20.000 503.549 +INF . 27 20.000 543.347 +INF . 28 20.000 585.761 +INF . 29 20.000 630.931 +INF . 30 20.000 20.000 +INF 127.570 NOPT 31 20.000 20.000 +INF 109.598 NOPT 32 20.000 5191.156 +INF . 33 20.000 804.366 +INF . 34 20.000 859.034 +INF . 35 20.000 912.330 +INF . 36 20.000 965.041 +INF . 37 20.000 1037.151 +INF . 38 20.000 20.000 +INF 50.898 NOPT 39 20.000 5063.706 +INF . 40 20.000 3921.057 +INF . 41 20.000 1310.744 +INF . 42 20.000 1398.278 +INF . 43 20.000 20.000 +INF 18.328 NOPT 44 20.000 20.000 +INF 15.806 NOPT 45 20.000 13779.124 +INF . 46 20.000 7782.209 +INF . 47 20.000 5987.114 +INF . 48 20.000 4617.593 +INF . 49 20.000 2143.384 +INF . 50 20.000 20.000 +INF 6.468 NOPT 51 20.000 11657.593 +INF . 52 20.000 15791.429 +INF . 53 20.000 12287.483 +INF . 54 20.000 9512.959 +INF . 55 20.000 7265.655 +INF . 56 20.000 5256.745 +INF . 57 20.000 3096.957 +INF . 58 20.000 11229.246 +INF . 59 20.000 8478.989 +INF . 60 20.000 6217.717 +INF . ---- VAR K Capital stock trillions US dollars LOWER LEVEL UPPER MARGINAL 1 100.000 137.000 +INF . 2 100.000 100.000 +INF 82.956 NOPT 3 100.000 100.000 +INF 57.575 NOPT 4 100.000 100.000 +INF 50.781 NOPT 5 100.000 100.000 +INF 44.727 NOPT 6 100.000 100.000 +INF 37.530 NOPT 7 100.000 100.000 +INF 31.354 NOPT 8 100.000 100.000 +INF 27.706 NOPT 9 100.000 100.000 +INF 21.793 NOPT 10 100.000 100.000 +INF 17.701 NOPT 11 100.000 100.000 +INF 14.314 NOPT 12 100.000 100.000 +INF 11.536 NOPT 13 100.000 100.000 +INF 9.275 NOPT 14 100.000 100.000 +INF 7.445 NOPT 15 100.000 100.000 +INF 5.969 NOPT 16 100.000 100.000 +INF 5.750 NOPT 17 100.000 280.519 +INF -0.286 NOPT 18 100.000 100.000 +INF 3.425 NOPT 19 100.000 100.000 +INF 2.459 NOPT 20 100.000 100.000 +INF 1.968 NOPT 21 100.000 100.000 +INF 1.575 NOPT 22 100.000 100.000 +INF 1.260 NOPT 23 100.000 100.000 +INF 6.007 NOPT 24 100.000 2426.547 +INF 0.022 NOPT 25 100.000 10084.904 +INF . 26 100.000 100.000 +INF 0.566 NOPT 27 100.000 100.000 +INF 0.416 NOPT 28 100.000 100.000 +INF 0.334 NOPT 29 100.000 100.000 +INF 0.268 NOPT 30 100.000 100.000 +INF -1.861 31 100.000 6740.501 +INF . 32 100.000 28185.627 +INF . 33 100.000 100.000 +INF 0.124 NOPT 34 100.000 100.000 +INF -0.469 35 100.000 100.000 +INF -0.404 36 100.000 100.000 +INF 0.063 NOPT 37 100.000 100.000 +INF -0.295 38 100.000 100.000 +INF -20.086 39 100.000 12114.093 +INF . 40 100.000 4077.793 +INF . 41 100.000 100.000 +INF 0.026 NOPT 42 100.000 100.000 +INF 0.022 NOPT 43 100.000 100.000 +INF 2.708 NOPT 44 100.000 14880.284 +INF . 45 100.000 76324.772 +INF . 46 100.000 12936.418 +INF . 47 100.000 4372.636 +INF . 48 100.000 1452.816 +INF . 49 100.000 100.000 +INF 0.004 NOPT 50 100.000 429.534 +INF . 51 100.000 35898.757 +INF 2.4808E-5 52 100.000 40054.607 +INF . 53 100.000 14186.571 +INF . 54 100.000 4960.471 +INF . 55 100.000 1661.646 +INF . 56 100.000 467.544 +INF . 57 100.000 100.000 +INF 0.001 NOPT 58 100.000 4041.586 +INF . 59 100.000 1316.651 +INF . 60 100.000 364.075 +INF . ---- VAR CPC Per capita consumption thousands US dollars LOWER LEVEL UPPER MARGINAL 1 -INF 7.731 +INF . 2 -INF 7.455 +INF . 3 -INF 8.113 +INF . 4 -INF 8.905 +INF . 5 -INF 9.836 +INF . 6 -INF 10.762 +INF . 7 -INF 11.818 +INF . 8 -INF 12.500 +INF . 9 -INF 13.751 +INF . 10 -INF 15.116 +INF . 11 -INF 16.599 +INF . 12 -INF 18.207 +INF . 13 -INF 19.945 +INF . 14 -INF 21.821 +INF . 15 -INF 23.843 +INF . 16 -INF 24.376 +INF . 17 -INF 40.116 +INF . 18 -INF 30.785 +INF . 19 -INF 33.472 +INF . 20 -INF 36.363 +INF . 21 -INF 39.465 +INF . 22 -INF 42.789 +INF . 23 -INF 19.292 +INF . 24 -INF 25.096 +INF . 25 -INF 259.137 +INF . 26 -INF 58.554 +INF . 27 -INF 63.182 +INF . 28 -INF 68.113 +INF . 29 -INF 73.365 +INF . 30 -INF 2.326 +INF . 31 -INF 2.326 +INF . 32 -INF 603.626 +INF . 33 -INF 93.531 +INF . 34 -INF 99.888 +INF . 35 -INF 106.085 +INF . 36 -INF 112.214 +INF . 37 -INF 120.599 +INF . 38 -INF 2.326 +INF . 39 -INF 588.803 +INF . 40 -INF 455.937 +INF . 41 -INF 152.412 +INF . 42 -INF 162.591 +INF . 43 -INF 2.326 +INF . 44 -INF 2.326 +INF . 45 -INF 1602.224 +INF . 46 -INF 904.908 +INF . 47 -INF 696.176 +INF . 48 -INF 536.929 +INF . 49 -INF 249.231 +INF . 50 -INF 2.326 +INF . 51 -INF 1355.534 +INF . 52 -INF 1836.213 +INF . 53 -INF 1428.777 +INF . 54 -INF 1106.158 +INF . 55 -INF 844.844 +INF . 56 -INF 611.249 +INF . 57 -INF 360.111 +INF . 58 -INF 1305.726 +INF . 59 -INF 985.929 +INF . 60 -INF 722.990 +INF . ---- VAR PCY Per capita income thousands US dollars LOWER LEVEL UPPER MARGINAL 1 -INF 8.533 +INF . 2 -INF 8.368 +INF . 3 -INF 8.974 +INF . 4 -INF 9.732 +INF . 5 -INF 10.642 +INF . 6 -INF 11.552 +INF . 7 -INF 12.598 +INF . 8 -INF 13.273 +INF . 9 -INF 14.520 +INF . 10 -INF 15.882 +INF . 11 -INF 17.362 +INF . 12 -INF 18.968 +INF . 13 -INF 20.705 +INF . 14 -INF 22.580 +INF . 15 -INF 24.602 +INF . 16 -INF 27.236 +INF . 17 -INF 40.141 +INF . 18 -INF 31.543 +INF . 19 -INF 34.230 +INF . 20 -INF 37.120 +INF . 21 -INF 40.223 +INF . 22 -INF 43.547 +INF . 23 -INF 47.105 +INF . 24 -INF 132.532 +INF . 25 -INF 219.410 +INF . 26 -INF 59.312 +INF . 27 -INF 63.939 +INF . 28 -INF 68.870 +INF . 29 -INF 74.122 +INF . 30 -INF 80.299 +INF . 31 -INF 302.739 +INF . 32 -INF 490.512 +INF . 33 -INF 94.289 +INF . 34 -INF 100.645 +INF . 35 -INF 106.842 +INF . 36 -INF 112.972 +INF . 37 -INF 121.356 +INF . 38 -INF 142.782 +INF . 39 -INF 587.104 +INF . 40 -INF 440.567 +INF . 41 -INF 153.169 +INF . 42 -INF 163.348 +INF . 43 -INF 174.947 +INF . 44 -INF 829.492 +INF . 45 -INF 1443.196 +INF . 46 -INF 903.303 +INF . 47 -INF 695.341 +INF . 48 -INF 532.202 +INF . 49 -INF 253.820 +INF . 50 -INF 418.011 +INF . 51 -INF 1675.737 +INF . 52 -INF 1838.775 +INF . 53 -INF 1428.939 +INF . 54 -INF 1105.368 +INF . 55 -INF 843.543 +INF . 56 -INF 610.517 +INF . 57 -INF 406.701 +INF . 58 -INF 1304.650 +INF . 59 -INF 984.824 +INF . 60 -INF 721.514 +INF . ---- VAR I Investment trillions US dollars LOWER LEVEL UPPER MARGINAL 1 -INF 5.223 +INF . 2 -INF 6.513 +INF . 3 -INF 6.513 +INF . 4 -INF 6.513 +INF . 5 -INF 6.513 +INF . 6 -INF 6.513 +INF . 7 -INF 6.513 +INF . 8 -INF 6.513 +INF . 9 -INF 6.513 +INF . 10 -INF 6.513 +INF . 11 -INF 6.513 +INF . 12 -INF 6.513 +INF . 13 -INF 6.513 +INF . 14 -INF 6.513 +INF . 15 -INF 6.513 +INF . 16 -INF 24.565 +INF . 17 -INF 0.219 +INF . 18 -INF 6.513 +INF . 19 -INF 6.513 +INF . 20 -INF 6.513 +INF . 21 -INF 6.513 +INF . 22 -INF 6.513 +INF . 23 -INF 239.168 +INF . 24 -INF 923.882 +INF . 25 -INF -341.639 +INF . 26 -INF 6.513 +INF . 27 -INF 6.513 +INF . 28 -INF 6.513 +INF . 29 -INF 6.513 +INF . 30 -INF 670.563 +INF . 31 -INF 2583.536 +INF . 32 -INF -972.772 +INF . 33 -INF 6.513 +INF . 34 -INF 6.513 +INF . 35 -INF 6.513 +INF . 36 -INF 6.513 +INF . 37 -INF 6.513 +INF . 38 -INF 1207.922 +INF . 39 -INF -14.613 +INF . 40 -INF -132.184 +INF . 41 -INF 6.513 +INF . 42 -INF 6.513 +INF . 43 -INF 1484.542 +INF . 44 -INF 7113.634 +INF . 45 -INF -1367.638 +INF . 46 -INF -13.801 +INF . 47 -INF -7.183 +INF . 48 -INF -40.657 +INF . 49 -INF 39.467 +INF . 50 -INF 3574.899 +INF . 51 -INF 2753.748 +INF . 52 -INF 22.039 +INF . 53 -INF 1.392 +INF . 54 -INF -6.796 +INF . 55 -INF -11.184 +INF . 56 -INF -6.302 +INF . 57 -INF 400.672 +INF . 58 -INF -9.256 +INF . 59 -INF -9.501 +INF . 60 -INF -12.694 +INF . ---- VAR S Gross savings rate as fraction of gross world product LOWER LEVEL UPPER MARGINAL 1 -INF 0.094 +INF . 2 -INF 0.109 +INF . 3 -INF 0.096 +INF . 4 -INF 0.085 +INF . 5 -INF 0.076 +INF . 6 -INF 0.068 +INF . 7 -INF 0.062 +INF . 8 -INF 0.058 +INF . 9 -INF 0.053 +INF . 10 -INF 0.048 +INF . 11 -INF 0.044 +INF . 12 -INF 0.040 +INF . 13 -INF 0.037 +INF . 14 -INF 0.034 +INF . 15 -INF 0.031 +INF . 16 -INF 0.105 +INF . 17 -INF 6.3468E-4 +INF . 18 -INF 0.024 +INF . 19 -INF 0.022 +INF . 20 -INF 0.020 +INF . 21 -INF 0.019 +INF . 22 -INF 0.017 +INF . 23 -INF 0.590 +INF . 24 -INF 0.811 +INF . 25 -INF -0.181 +INF . 26 -INF 0.013 +INF . 27 -INF 0.012 +INF . 28 -INF 0.011 +INF . 29 -INF 0.010 +INF . 30 -INF 0.971 +INF . 31 -INF 0.992 +INF . 32 -INF -0.231 +INF . 33 -INF 0.008 +INF . 34 -INF 0.008 +INF . 35 -INF 0.007 +INF . 36 -INF 0.007 +INF . 37 -INF 0.006 +INF . 38 -INF 0.984 +INF . 39 -INF -0.003 +INF . 40 -INF -0.035 +INF . 41 -INF 0.005 +INF . 42 -INF 0.005 +INF . 43 -INF 0.987 +INF . 44 -INF 0.997 +INF . 45 -INF -0.110 +INF . 46 -INF -0.002 +INF . 47 -INF -0.001 +INF . 48 -INF -0.009 +INF . 49 -INF 0.018 +INF . 50 -INF 0.994 +INF . 51 -INF 0.191 +INF . 52 -INF 0.001 +INF . 53 -INF 1.1327E-4 +INF . 54 -INF -7.149E-4 +INF . 55 -INF -0.002 +INF . 56 -INF -0.001 +INF . 57 -INF 0.115 +INF . 58 -INF -8.250E-4 +INF . 59 -INF -0.001 +INF . 60 -INF -0.002 +INF . ---- VAR RI Real interest rate per annum LOWER LEVEL UPPER MARGINAL 1 -INF 0.057 +INF . 2 -INF 0.114 +INF . 3 -INF 0.139 +INF . 4 -INF 0.165 +INF . 5 -INF 0.193 +INF . 6 -INF 0.220 +INF . 7 -INF 0.250 +INF . 8 -INF 0.270 +INF . 9 -INF 0.304 +INF . 10 -INF 0.340 +INF . 11 -INF 0.380 +INF . 12 -INF 0.422 +INF . 13 -INF 0.467 +INF . 14 -INF 0.516 +INF . 15 -INF 0.568 +INF . 16 -INF 0.637 +INF . 17 -INF 0.304 +INF . 18 -INF 0.748 +INF . 19 -INF 0.818 +INF . 20 -INF 0.892 +INF . 21 -INF 0.972 +INF . 22 -INF 1.058 +INF . 23 -INF 1.150 +INF . 24 -INF 0.076 +INF . 25 -INF -0.009 +INF . 26 -INF 1.465 +INF . 27 -INF 1.584 +INF . 28 -INF 1.712 +INF . 29 -INF 1.847 +INF . 30 -INF 2.007 +INF . 31 -INF 0.051 +INF . 32 -INF -0.020 +INF . 33 -INF 2.368 +INF . 34 -INF 2.532 +INF . 35 -INF 2.691 +INF . 36 -INF 2.850 +INF . 37 -INF 3.066 +INF . 38 -INF 3.619 +INF . 39 -INF 0.060 +INF . 40 -INF 0.214 +INF . 41 -INF 3.887 +INF . 42 -INF 4.149 +INF . 43 -INF 4.448 +INF . 44 -INF 0.079 +INF . 45 -INF -0.016 +INF . 46 -INF 0.115 +INF . 47 -INF 0.345 +INF . 48 -INF 0.880 +INF . 49 -INF 6.483 +INF . 50 -INF 2.446 +INF . 51 -INF 0.055 +INF . 52 -INF 0.053 +INF . 53 -INF 0.195 +INF . 54 -INF 0.510 +INF . 55 -INF 1.245 +INF . 56 -INF 3.304 +INF . 57 -INF 10.428 +INF . 58 -INF 0.768 +INF . 59 -INF 1.865 +INF . 60 -INF 5.048 +INF . ---- VAR Y Gross world product net of abatement and damages LOWER LEVEL UPPER MARGINAL 1 . 55.583 +INF . 2 . 59.666 +INF . 3 . 67.879 +INF . 4 . 76.593 +INF . 5 . 86.045 +INF . 6 . 95.163 +INF . 7 . 105.126 +INF . 8 . 111.760 +INF . 9 . 123.029 +INF . 10 . 135.163 +INF . 11 . 148.221 +INF . 12 . 162.282 +INF . 13 . 177.414 +INF . 14 . 193.690 +INF . 15 . 211.191 +INF . 16 . 233.936 +INF . 17 . 344.904 +INF . 18 . 271.096 +INF . 19 . 294.246 +INF . 20 . 319.135 +INF . 21 . 345.838 +INF . 22 . 374.445 +INF . 23 . 405.058 +INF . 24 . 1139.690 +INF . 25 . 1886.820 +INF . 26 . 510.062 +INF . 27 . 549.860 +INF . 28 . 592.274 +INF . 29 . 637.444 +INF . 30 . 690.563 +INF . 31 . 2603.536 +INF . 32 . 4218.384 +INF . 33 . 810.879 +INF . 34 . 865.547 +INF . 35 . 918.843 +INF . 36 . 971.554 +INF . 37 . 1043.664 +INF . 38 . 1227.922 +INF . 39 . 5049.093 +INF . 40 . 3788.874 +INF . 41 . 1317.257 +INF . 42 . 1404.792 +INF . 43 . 1504.542 +INF . 44 . 7133.634 +INF . 45 . 12411.486 +INF . 46 . 7768.407 +INF . 47 . 5979.931 +INF . 48 . 4576.936 +INF . 49 . 2182.850 +INF . 50 . 3594.899 +INF . 51 . 14411.341 +INF . 52 . 15813.468 +INF . 53 . 12288.875 +INF . 54 . 9506.163 +INF . 55 . 7254.471 +INF . 56 . 5250.443 +INF . 57 . 3497.629 +INF . 58 . 11219.990 +INF . 59 . 8469.488 +INF . 60 . 6205.023 +INF . ---- VAR YGROSS Gross world product GROSS of abatement and damages LOWER LEVEL UPPER MARGINAL 1 . 55.667 +INF . 2 . 59.425 +INF . 3 . 68.141 +INF . 4 . 77.003 +INF . 5 . 86.166 +INF . 6 . 95.761 +INF . 7 . 105.898 +INF . 8 . 116.676 +INF . 9 . 128.187 +INF . 10 . 140.517 +INF . 11 . 153.749 +INF . 12 . 167.966 +INF . 13 . 183.249 +INF . 14 . 199.681 +INF . 15 . 217.345 +INF . 16 . 236.328 +INF . 17 . 354.786 +INF . 18 . 278.608 +INF . 19 . 302.092 +INF . 20 . 327.269 +INF . 21 . 354.241 +INF . 22 . 383.115 +INF . 23 . 414.000 +INF . 24 . 1163.700 +INF . 25 . 1924.842 +INF -4.984 NOPT 26 . 519.904 +INF . 27 . 560.035 +INF . 28 . 602.799 +INF . 29 . 648.334 +INF . 30 . 696.785 +INF . 31 . 2646.730 +INF . 32 . 4362.653 +INF . 33 . 861.139 +INF . 34 . 922.787 +INF . 35 . 988.144 +INF . 36 . 1057.385 +INF . 37 . 1130.690 +INF . 38 . 1335.006 +INF . 39 . 5521.194 +INF . 40 . 4188.100 +INF 0.012 NOPT 41 . 1468.320 +INF . 42 . 1564.821 +INF . 43 . 1666.576 +INF . 44 . 7956.027 +INF . 45 . 13820.063 +INF . 46 . 8625.343 +INF 6.8752E-5 47 . 6617.736 +INF 9.3303E-5 48 . 5048.179 +INF 1.4257E-4 49 . 2399.884 +INF . 50 . 3940.466 +INF . 51 . 15753.017 +INF . 52 . 17241.380 +INF -3.581E-6 53 . 13366.589 +INF 8.7025E-6 54 . 10316.745 +INF 1.3644E-5 55 . 7856.441 +INF 2.0959E-5 56 . 5674.691 +INF 3.5189E-5 57 . 3772.957 +INF . 58 . 12080.689 +INF -4.594E-6 59 . 9102.737 +INF 8.6277E-6 60 . 6526.126 +INF 1.4283E-5 ---- VAR YNET Output net of damages equation LOWER LEVEL UPPER MARGINAL 1 -INF 55.583 +INF . 2 -INF 59.272 +INF . 3 -INF 67.879 +INF . 4 -INF 76.593 +INF . 5 -INF 85.565 +INF . 6 -INF 94.924 +INF . 7 -INF 104.782 +INF . 8 -INF 115.298 +INF . 9 -INF 126.627 +INF . 10 -INF 138.826 +INF . 11 -INF 151.951 +INF . 12 -INF 166.084 +INF . 13 -INF 181.292 +INF . 14 -INF 197.650 +INF . 15 -INF 215.236 +INF . 16 -INF 233.917 +INF . 17 -INF 350.820 +INF . 18 -INF 275.421 +INF . 19 -INF 298.679 +INF . 20 -INF 323.683 +INF . 21 -INF 350.508 +INF . 22 -INF 379.245 +INF . 23 -INF 409.995 +INF . 24 -INF 1152.906 +INF . 25 -INF 1907.704 +INF . 26 -INF 515.455 +INF . 27 -INF 555.421 +INF . 28 -INF 598.013 +INF . 29 -INF 643.369 +INF . 30 -INF 690.540 +INF . 31 -INF 2603.516 +INF . 32 -INF 4218.369 +INF . 33 -INF 817.375 +INF . 34 -INF 865.543 +INF . 35 -INF 918.840 +INF . 36 -INF 978.582 +INF . 37 -INF 1043.662 +INF . 38 -INF 1227.165 +INF . 39 -INF 5039.468 +INF . 40 -INF 3793.589 +INF . 41 -INF 1325.330 +INF . 42 -INF 1413.069 +INF . 43 -INF 1504.298 +INF . 44 -INF 7174.084 +INF . 45 -INF 12480.636 +INF . 46 -INF 7810.627 +INF . 47 -INF 6011.750 +INF . 48 -INF 4600.797 +INF . 49 -INF 2194.004 +INF . 50 -INF 3612.879 +INF . 51 -INF 14482.140 +INF . 52 -INF 15889.702 +INF . 53 -INF 12347.032 +INF . 54 -INF 9550.348 +INF . 55 -INF 7287.606 +INF . 56 -INF 5274.021 +INF . 57 -INF 3513.080 +INF . 58 -INF 11268.772 +INF . 59 -INF 8505.747 +INF . 60 -INF 6231.190 +INF . ---- VAR DAMAGES Damages LOWER LEVEL UPPER MARGINAL 1 -INF 0.084 +INF . 2 -INF 0.152 +INF . 3 -INF 0.262 +INF . 4 -INF 0.410 +INF . 5 -INF 0.601 +INF . 6 -INF 0.836 +INF . 7 -INF 1.116 +INF . 8 -INF 1.378 +INF . 9 -INF 1.560 +INF . 10 -INF 1.691 +INF . 11 -INF 1.798 +INF . 12 -INF 1.882 +INF . 13 -INF 1.957 +INF . 14 -INF 2.031 +INF . 15 -INF 2.109 +INF . 16 -INF 2.411 +INF . 17 -INF 3.967 +INF . 18 -INF 3.187 +INF . 19 -INF 3.413 +INF . 20 -INF 3.586 +INF . 21 -INF 3.733 +INF . 22 -INF 3.870 +INF . 23 -INF 4.006 +INF . 24 -INF 10.793 +INF . 25 -INF 17.137 +INF . 26 -INF 4.450 +INF . 27 -INF 4.614 +INF . 28 -INF 4.786 +INF . 29 -INF 4.965 +INF . 30 -INF 6.245 +INF . 31 -INF 43.214 +INF . 32 -INF 144.284 +INF . 33 -INF 43.764 +INF . 34 -INF 57.244 +INF . 35 -INF 69.304 +INF . 36 -INF 78.803 +INF . 37 -INF 87.028 +INF . 38 -INF 107.841 +INF . 39 -INF 481.726 +INF . 40 -INF 394.511 +INF . 41 -INF 142.989 +INF . 42 -INF 151.753 +INF . 43 -INF 162.277 +INF . 44 -INF 781.943 +INF . 45 -INF 1339.427 +INF . 46 -INF 814.716 +INF . 47 -INF 605.986 +INF . 48 -INF 447.382 +INF . 49 -INF 205.880 +INF . 50 -INF 327.587 +INF . 51 -INF 1270.877 +INF . 52 -INF 1351.678 +INF . 53 -INF 1019.557 +INF . 54 -INF 766.397 +INF . 55 -INF 568.834 +INF . 56 -INF 400.670 +INF . 57 -INF 259.877 +INF . 58 -INF 811.918 +INF . 59 -INF 596.989 +INF . 60 -INF 294.936 +INF . ---- VAR ABATECOST Cost of emissions reductions LOWER LEVEL UPPER MARGINAL 1 -INF 1.3292E-5 +INF . 2 -INF . +INF . 3 -INF . +INF . 4 -INF . +INF . 5 -INF . +INF . 6 -INF 0.004 +INF . 7 -INF 0.005 +INF . 8 -INF 3.592 +INF . 9 -INF 3.656 +INF . 10 -INF 3.722 +INF . 11 -INF 3.790 +INF . 12 -INF 3.862 +INF . 13 -INF 3.938 +INF . 14 -INF 4.018 +INF . 15 -INF 4.103 +INF . 16 -INF . +INF . 17 -INF 5.930 +INF . 18 -INF 4.394 +INF . 19 -INF 4.503 +INF . 20 -INF 4.619 +INF . 21 -INF 4.742 +INF . 22 -INF 4.872 +INF . 23 -INF 5.009 +INF . 24 -INF 13.416 +INF . 25 -INF 21.179 +INF . 26 -INF 5.467 +INF . 27 -INF 5.637 +INF . 28 -INF 5.815 +INF . 29 -INF 6.002 +INF . 30 -INF . +INF . 31 -INF . +INF . 32 -INF . +INF . 33 -INF 6.849 +INF . 34 -INF . +INF . 35 -INF . +INF . 36 -INF 7.597 +INF . 37 -INF . +INF . 38 -INF . +INF . 39 -INF 8.276 +INF . 40 -INF 12.900 +INF . 41 -INF 9.091 +INF . 42 -INF 9.431 +INF . 43 -INF . +INF . 44 -INF 45.553 +INF . 45 -INF 77.220 +INF . 46 -INF 47.069 +INF . 47 -INF 35.297 +INF . 48 -INF 26.336 +INF . 49 -INF 12.255 +INF . 50 -INF 19.710 +INF . 51 -INF 77.231 +INF . 52 -INF 82.905 +INF . 53 -INF 63.079 +INF . 54 -INF 47.810 +INF . 55 -INF 35.775 +INF . 56 -INF 25.404 +INF . 57 -INF 16.615 +INF . 58 -INF 52.360 +INF . 59 -INF 38.850 +INF . 60 -INF 27.441 +INF . ---- VAR CCA Cumulative industrial carbon emissions GTC LOWER LEVEL UPPER MARGINAL 1 . . 6000.000 . 2 . 85.320 6000.000 . 3 . 169.681 6000.000 . 4 . 258.482 6000.000 . 5 . 351.135 6000.000 . 6 . 447.298 6000.000 . 7 . 538.586 6000.000 . 8 . 631.796 6000.000 . 9 . 637.057 6000.000 . 10 . 641.792 6000.000 . 11 . 646.054 6000.000 . 12 . 649.890 6000.000 . 13 . 653.341 6000.000 . 14 . 656.448 6000.000 . 15 . 659.244 6000.000 . 16 . 661.761 6000.000 . 17 . 800.374 6000.000 . 18 . 802.413 6000.000 . 19 . 804.247 6000.000 . 20 . 805.898 6000.000 . 21 . 807.384 6000.000 . 22 . 808.721 6000.000 . 23 . 809.925 6000.000 . 24 . 811.008 6000.000 . 25 . 811.983 6000.000 . 26 . 812.861 6000.000 . 27 . 813.650 6000.000 . 28 . 814.361 6000.000 . 29 . 815.001 6000.000 . 30 . 815.576 6000.000 . 31 . 1056.423 6000.000 . 32 . 1943.463 6000.000 . 33 . 3364.327 6000.000 . 34 . 3364.704 6000.000 . 35 . 3649.608 6000.000 . 36 . 3946.816 6000.000 . 37 . 3947.091 6000.000 . 38 . 4270.595 6000.000 . 39 . 4643.520 6000.000 . 40 . 5325.758 6000.000 . 41 . 5581.132 6000.000 . 42 . 5581.295 6000.000 . 43 . 5581.441 6000.000 . 44 . 5998.860 6000.000 . 45 . 5999.066 6000.000 . 46 . 5999.260 6000.000 . 47 . 5999.356 6000.000 . 48 . 5999.442 6000.000 . 49 . 5999.520 6000.000 . 50 . 5999.590 6000.000 . 51 . 5999.653 6000.000 . 52 . 5999.709 6000.000 . 53 . 5999.760 6000.000 . 54 . 5999.806 6000.000 . 55 . 5999.848 6000.000 . 56 . 5999.885 6000.000 . 57 . 5999.918 6000.000 . 58 . 5999.948 6000.000 . 59 . 5999.976 6000.000 . 60 . 6000.000 6000.000 3.285 ---- VAR PERIODU One period utility function LOWER LEVEL UPPER MARGINAL 1 -INF -128.350 +INF . 2 -INF -133.141 +INF . 3 -INF -122.262 +INF . 4 -INF -111.301 +INF . 5 -INF -100.665 +INF . 6 -INF -91.922 +INF . 7 -INF -83.619 +INF . 8 -INF -79.003 +INF . 9 -INF -71.721 +INF . 10 -INF -65.153 +INF . 11 -INF -59.244 +INF . 12 -INF -53.925 +INF . 13 -INF -49.139 +INF . 14 -INF -44.828 +INF . 15 -INF -40.941 +INF . 16 -INF -40.023 +INF . 17 -INF -23.928 +INF . 18 -INF -31.483 +INF . 19 -INF -28.876 +INF . 20 -INF -26.501 +INF . 21 -INF -24.339 +INF . 22 -INF -22.370 +INF . 23 -INF -50.836 +INF . 24 -INF -38.847 +INF . 25 -INF -2.859 +INF . 26 -INF -16.078 +INF . 27 -INF -14.827 +INF . 28 -INF -13.681 +INF . 29 -INF -12.630 +INF . 30 -INF -428.996 +INF . 31 -INF -428.997 +INF . 32 -INF -0.657 +INF . 33 -INF -9.692 +INF . 34 -INF -9.011 +INF . 35 -INF -8.426 +INF . 36 -INF -7.912 +INF . 37 -INF -7.292 +INF . 38 -INF -429.000 +INF . 39 -INF -0.698 +INF . 40 -INF -1.193 +INF . 41 -INF -5.561 +INF . 42 -INF -5.150 +INF . 43 -INF -429.000 +INF . 44 -INF -429.000 +INF . 45 -INF 0.376 +INF . 46 -INF -0.105 +INF . 47 -INF -0.436 +INF . 48 -INF -0.862 +INF . 49 -INF -3.012 +INF . 50 -INF -429.000 +INF . 51 -INF 0.262 +INF . 52 -INF 0.455 +INF . 53 -INF 0.300 +INF . 54 -INF 0.096 +INF . 55 -INF -0.184 +INF . 56 -INF -0.636 +INF . 57 -INF -1.777 +INF . 58 -INF 0.234 +INF . 59 -INF -0.014 +INF . 60 -INF -0.383 +INF . LOWER LEVEL UPPER MARGINAL ---- VAR UTILITY -INF 1.1258E+5 +INF . **** REPORT SUMMARY : 68 NONOPT ( NOPT) 0 INFEASIBLE 0 UNBOUNDED 2 ERRORS ( ****) GAMS Rev 237 LEX-LEG 23.7.1 x86_64/Linux 09/14/11 00:05:43 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 315 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 00:05:43 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 315 S O L V E S U M M A R Y MODEL CO2 OBJECTIVE UTILITY TYPE NLP DIRECTION MAXIMIZE SOLVER MINOS FROM LINE 315 **** SOLVER STATUS 1 Normal Completion **** MODEL STATUS 2 Locally Optimal **** OBJECTIVE VALUE 150236.2088 RESOURCE USAGE, LIMIT 2.127 99999.000 ITERATION COUNT, LIMIT 2410 99900 EVALUATION ERRORS 0 0 GAMS/MINOS Jul 14, 2011 23.7.1 LEX 26779.26792 LEG x86_64/Linux M I N O S 5.51 (Jun 2004) GAMS/MINOS 5.51, Large Scale Nonlinear Solver B. A. Murtagh, University of New South Wales P. E. Gill, University of California at San Diego, W. Murray, M. A. Saunders, and M. H. Wright, Systems Optimization Laboratory, Stanford University Work space allocated -- 4.03 Mb EXIT - Optimal Solution found, objective: 150236.2 ---- EQU CCTFIRST First period cumulative carbon LOWER LEVEL UPPER MARGINAL 1 . . . 3.2714E-7 ---- EQU CCACCA Cumulative carbon emissions LOWER LEVEL UPPER MARGINAL 2 . . . 3.2714E-7 3 . . . 3.2714E-7 4 . . . 3.2714E-7 5 . . . 3.2714E-7 6 . . . 3.2714E-7 7 . . . 3.2714E-7 8 . . . 3.2714E-7 9 . . . 3.2714E-7 10 . . . 3.2714E-7 11 . . . 3.2714E-7 12 . . . 3.2714E-7 13 . . . 3.2714E-7 14 . . . 3.2714E-7 15 . . . 3.2714E-7 16 . . . 3.2714E-7 17 . . . 3.2714E-7 18 . . . 3.2714E-7 19 . . . 3.2714E-7 20 . . . 3.2714E-7 21 . . . 3.2714E-7 22 . . . 3.2714E-7 23 . . . 3.2714E-7 24 . . . 3.2714E-7 25 . . . 3.2714E-7 26 . . . 3.2714E-7 27 . . . 3.2714E-7 28 . . . 3.2714E-7 29 . . . 3.2714E-7 30 . . . 3.2714E-7 31 . . . 3.2714E-7 32 . . . 3.2714E-7 33 . . . 3.2714E-7 34 . . . 3.2714E-7 35 . . . 3.2714E-7 36 . . . 3.2714E-7 37 . . . 3.2714E-7 38 . . . 3.2714E-7 39 . . . 3.2714E-7 40 . . . 3.2714E-7 41 . . . 3.2714E-7 42 . . . 3.2714E-7 43 . . . 3.2714E-7 44 . . . 3.2714E-7 45 . . . 3.2714E-7 46 . . . 3.2714E-7 47 . . . 3.2714E-7 48 . . . 3.2714E-7 49 . . . 3.2714E-7 50 . . . 3.2714E-7 51 . . . 3.2714E-7 52 . . . 3.2714E-7 53 . . . 3.2714E-7 54 . . . 3.2714E-7 55 . . . 3.2714E-7 56 . . . 3.2714E-7 57 . . . 3.2714E-7 58 . . . 3.2714E-7 59 . . . 3.2714E-7 60 . . . 3.2714E-7 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 . . . 1177.503 2 . . . 756.535 3 . . . 489.319 4 . . . 318.768 5 . . . 209.043 6 . . . 137.892 7 . . . 91.427 8 . . . 60.896 9 . . . 40.726 10 . . . 27.339 11 . . . 18.415 12 . . . 12.442 13 . . . 8.430 14 . . . 5.727 15 . . . 3.900 16 . . . 2.663 17 . . . 1.822 18 . . . 1.249 19 . . . 0.858 20 . . . 0.590 21 . . . 0.406 22 . . . 0.279 23 . . . 0.191 24 . . . 0.132 25 . . . 0.091 26 . . . 0.063 27 . . . 0.044 28 . . . 0.030 29 . . . 0.021 30 . . . 0.014 31 . . . 0.010 32 . . . 0.007 33 . . . 0.005 34 . . . 0.004 35 . . . 0.003 36 . . . 0.002 37 . . . 0.001 38 . . . 8.4697E-4 39 . . . 6.1885E-4 40 . . . 4.5383E-4 41 . . . 3.6567E-4 42 . . . 2.8751E-4 43 . . . 2.9102E-4 44 . . . 3.1091E-4 45 . . . 3.2683E-5 46 . . . 6.5282E-5 47 . . . 7.1085E-5 48 . . . 5.8175E-5 49 . . . 8.1594E-5 50 . . . 6.5174E-5 51 . . . 1.5577E-5 52 . . . 7.1596E-6 53 . . . 1.0563E-5 54 . . . 1.3738E-5 55 . . . 1.4831E-5 56 . . . 1.7959E-5 57 . . . 9.1572E-5 58 . . . 9.8369E-6 59 . . . 7.5533E-6 60 . . . 1.3491E-7 ---- EQU YNETEQ Output net of damages equation LOWER LEVEL UPPER MARGINAL 1 . . . EPS 2 . . . EPS 3 . . . EPS 4 . . . EPS 5 . . . EPS 6 . . . EPS 7 . . . EPS 8 . . . EPS 9 . . . EPS 10 . . . EPS 11 . . . EPS 12 . . . EPS 13 . . . EPS 14 . . . EPS 15 . . . EPS 16 . . . EPS 17 . . . EPS 18 . . . EPS 19 . . . EPS 20 . . . EPS 21 . . . EPS 22 . . . EPS 23 . . . EPS 24 . . . EPS 25 . . . EPS 26 . . . EPS 27 . . . EPS 28 . . . EPS 29 . . . EPS 30 . . . EPS 31 . . . EPS 32 . . . EPS 33 . . . EPS 34 . . . EPS 35 . . . EPS 36 . . . EPS 37 . . . EPS 38 . . . EPS 39 . . . EPS 40 . . . EPS 41 . . . EPS 42 . . . EPS 43 . . . EPS 44 . . . EPS 45 . . . EPS 46 . . . EPS 47 . . . EPS 48 . . . EPS 49 . . . EPS 50 . . . EPS 51 . . . EPS 52 . . . EPS 53 . . . EPS 54 . . . EPS 55 . . . EPS 56 . . . EPS 57 . . . EPS 58 . . . EPS 59 . . . EPS 60 . . . EPS ---- EQU YGROSSEQ Output gross equation LOWER LEVEL UPPER MARGINAL 1 . . . 1175.720 2 . . . 754.374 3 . . . 487.238 4 . . . 316.888 5 . . . 207.419 6 . . . 136.534 7 . . . 90.319 8 . . . 60.010 9 . . . 40.029 10 . . . 26.797 11 . . . 17.999 12 . . . 12.127 13 . . . 8.194 14 . . . 5.551 15 . . . 3.770 16 . . . 2.567 17 . . . 1.752 18 . . . 1.198 19 . . . 0.821 20 . . . 0.564 21 . . . 0.387 22 . . . 0.266 23 . . . 0.183 24 . . . 0.126 25 . . . 0.087 26 . . . 0.060 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 . . . 0.002 36 . . . 0.002 37 . . . 0.001 38 . . . 8.2655E-4 39 . . . 6.0439E-4 40 . . . 4.4355E-4 41 . . . 3.5763E-4 42 . . . 2.8138E-4 43 . . . 2.8500E-4 44 . . . 3.0468E-4 45 . . . 3.2047E-5 46 . . . 6.4033E-5 47 . . . 6.9530E-5 48 . . . 5.6874E-5 49 . . . 7.9575E-5 50 . . . 6.3311E-5 51 . . . 1.5031E-5 52 . . . 6.8318E-6 53 . . . 9.9071E-6 54 . . . 1.2791E-5 55 . . . 1.3768E-5 56 . . . 5.5854E-7 57 . . . 8.5110E-5 58 . . . 9.0523E-6 59 . . . 2.9590E-7 60 . . . 1.2510E-7 ---- EQU DAMEQ Damage equation LOWER LEVEL UPPER MARGINAL 1 . . . EPS 2 . . . EPS 3 . . . EPS 4 . . . EPS 5 . . . EPS 6 . . . EPS 7 . . . EPS 8 . . . EPS 9 . . . EPS 10 . . . EPS 11 . . . EPS 12 . . . EPS 13 . . . EPS 14 . . . EPS 15 . . . EPS 16 . . . EPS 17 . . . EPS 18 . . . EPS 19 . . . EPS 20 . . . EPS 21 . . . EPS 22 . . . EPS 23 . . . EPS 24 . . . EPS 25 . . . EPS 26 . . . EPS 27 . . . EPS 28 . . . EPS 29 . . . EPS 30 . . . EPS 31 . . . EPS 32 . . . EPS 33 . . . EPS 34 . . . EPS 35 . . . EPS 36 . . . EPS 37 . . . EPS 38 . . . EPS 39 . . . EPS 40 . . . EPS 41 . . . EPS 42 . . . EPS 43 . . . EPS 44 . . . EPS 45 . . . EPS 46 . . . EPS 47 . . . EPS 48 . . . EPS 49 . . . EPS 50 . . . EPS 51 . . . EPS 52 . . . EPS 53 . . . EPS 54 . . . EPS 55 . . . EPS 56 . . . EPS 57 . . . EPS 58 . . . EPS 59 . . . EPS 60 . . . EPS ---- EQU ABATEEQ Cost of emissions reductions equation LOWER LEVEL UPPER MARGINAL 1 . . . EPS 2 . . . EPS 3 . . . EPS 4 . . . EPS 5 . . . EPS 6 . . . EPS 7 . . . EPS 8 . . . EPS 9 . . . EPS 10 . . . EPS 11 . . . EPS 12 . . . EPS 13 . . . EPS 14 . . . EPS 15 . . . EPS 16 . . . EPS 17 . . . EPS 18 . . . EPS 19 . . . EPS 20 . . . EPS 21 . . . EPS 22 . . . EPS 23 . . . EPS 24 . . . EPS 25 . . . EPS 26 . . . EPS 27 . . . EPS 28 . . . EPS 29 . . . EPS 30 . . . EPS 31 . . . EPS 32 . . . EPS 33 . . . EPS 34 . . . EPS 35 . . . EPS 36 . . . EPS 37 . . . EPS 38 . . . 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 . . . 1177.503 2 . . . 756.535 3 . . . 489.319 4 . . . 318.768 5 . . . 209.043 6 . . . 137.892 7 . . . 91.427 8 . . . 60.896 9 . . . 40.726 10 . . . 27.339 11 . . . 18.415 12 . . . 12.442 13 . . . 8.430 14 . . . 5.727 15 . . . 3.900 16 . . . 2.663 17 . . . 1.822 18 . . . 1.249 19 . . . 0.858 20 . . . 0.590 21 . . . 0.406 22 . . . 0.279 23 . . . 0.191 24 . . . 0.132 25 . . . 0.091 26 . . . 0.063 27 . . . 0.044 28 . . . 0.030 29 . . . 0.021 30 . . . 0.014 31 . . . 0.010 32 . . . 0.007 33 . . . 0.005 34 . . . 0.004 35 . . . 0.003 36 . . . 0.002 37 . . . 0.001 38 . . . 8.4697E-4 39 . . . 6.1885E-4 40 . . . 4.5383E-4 41 . . . 3.6567E-4 42 . . . 2.8751E-4 43 . . . 2.9102E-4 44 . . . 3.1091E-4 45 . . . 3.2683E-5 46 . . . 6.5282E-5 47 . . . 7.1085E-5 48 . . . 5.8175E-5 49 . . . 8.1594E-5 50 . . . 6.5174E-5 51 . . . 1.5577E-5 52 . . . 7.1596E-6 53 . . . 1.0563E-5 54 . . . 1.3738E-5 55 . . . 1.4831E-5 56 . . . 1.7959E-5 57 . . . 9.1572E-5 58 . . . 6.9951E-6 59 . . . 7.5533E-6 60 . . . 1.0163E-5 ---- EQU KK Capital balance equation LOWER LEVEL UPPER MARGINAL 1 -INF . . 117.750 2 -INF . . 75.654 3 -INF . . 48.932 4 -INF . . 31.877 5 -INF . . 20.904 6 -INF . . 13.789 7 -INF . . 9.143 8 -INF . . 6.090 9 -INF . . 4.073 10 -INF . . 2.734 11 -INF . . 1.841 12 -INF . . 1.244 13 -INF . . 0.843 14 -INF . . 0.573 15 -INF . . 0.390 16 -INF . . 0.266 17 -INF . . 0.182 18 -INF . . 0.125 19 -INF . . 0.086 20 -INF . . 0.059 21 -INF . . 0.041 22 -INF . . 0.028 23 -INF . . 0.019 24 -INF . . 0.013 25 -INF . . 0.009 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 . . 7.0847E-4 33 -INF . . 4.8382E-4 34 -INF . . 3.6242E-4 35 -INF . . 2.5259E-4 36 -INF . . 1.7926E-4 37 -INF . . 1.2044E-4 38 -INF . . 8.4697E-5 39 -INF . . 6.1885E-5 40 -INF . . 4.5383E-5 41 -INF . . 3.6567E-5 42 -INF . . 2.8751E-5 43 -INF . . 2.9102E-5 44 -INF . . 3.1091E-5 45 -INF . . 3.2683E-6 46 -INF . . 6.5282E-6 47 -INF . . 7.1085E-6 48 -INF . . 5.8175E-6 49 -INF . . 8.1594E-6 50 -INF . . 6.5174E-6 51 -INF . . 1.5577E-6 52 -INF . . 7.1596E-7 53 -INF . . 1.0563E-6 54 -INF . . 1.3738E-6 55 -INF . . 1.4831E-6 56 -INF . . 1.7959E-6 57 -INF . . 9.1572E-6 58 -INF . . 6.9951E-7 59 -INF . . 7.5533E-7 60 -INF . . 1.0163E-6 ---- EQU KK0 Initial condition for capital LOWER LEVEL UPPER MARGINAL 1 137.000 137.000 137.000 183.853 ---- EQU InvestCond investment condition LOWER LEVEL UPPER MARGINAL 60 . . +INF . ---- 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 -3.212 2 9.900 9.900 9.900 -3.162 3 8.910 8.910 8.910 -2.602 4 8.019 8.019 8.019 -2.108 5 7.217 7.217 7.217 -1.688 6 6.495 6.495 6.495 -1.339 7 5.846 5.846 5.846 -1.056 8 5.261 5.261 5.261 -0.828 9 4.735 4.735 4.735 -0.647 10 4.262 4.262 4.262 -0.504 11 3.835 3.835 3.835 -0.392 12 3.452 3.452 3.452 -0.304 13 3.107 3.107 3.107 -0.236 14 2.796 2.796 2.796 -0.183 15 2.516 2.516 2.516 -0.142 16 2.265 2.265 2.265 -0.110 17 2.038 2.038 2.038 -0.086 18 1.834 1.834 1.834 -0.067 19 1.651 1.651 1.651 -0.052 20 1.486 1.486 1.486 -0.041 21 1.337 1.337 1.337 -0.032 22 1.204 1.204 1.204 -0.025 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 -8.245E-4 36 0.275 0.275 0.275 -6.307E-4 37 0.248 0.248 0.248 -4.862E-4 38 0.223 0.223 0.223 -3.802E-4 39 0.201 0.201 0.201 -3.004E-4 40 0.181 0.181 0.181 -2.386E-4 41 0.163 0.163 0.163 -1.871E-4 42 0.146 0.146 0.146 -1.398E-4 43 0.132 0.132 0.132 -9.138E-5 44 0.119 0.119 0.119 -4.272E-5 45 0.107 0.107 0.107 -1.457E-5 46 0.096 0.096 0.096 -3.536E-6 47 0.086 0.086 0.086 -1.166E-5 48 0.078 0.078 0.078 -3.165E-6 49 0.070 0.070 0.070 -4.202E-6 50 0.063 0.063 0.063 -3.135E-6 51 0.057 0.057 0.057 -7.816E-7 52 0.051 0.051 0.051 -2.167E-7 53 0.046 0.046 0.046 -6.069E-7 54 0.041 0.041 0.041 -7.666E-7 55 0.037 0.037 0.037 -8.493E-7 56 0.033 0.033 0.033 -1.887E-6 57 0.030 0.030 0.030 -1.084E-6 58 0.027 0.027 0.027 -5.059E-7 59 0.024 0.024 0.024 -1.491E-7 60 0.022 0.022 0.022 -6.932E-9 ---- EQU SEQ Savings rate 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 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 -161.114 3 0.012 0.012 0.012 -147.315 4 0.048 0.048 0.048 -130.188 5 0.084 0.084 0.084 -112.265 6 0.120 0.120 0.120 -95.048 7 0.156 0.156 0.156 -79.343 8 0.192 0.192 0.192 -65.496 9 0.228 0.228 0.228 -53.575 10 0.264 0.264 0.264 -43.485 11 0.300 0.300 0.300 -35.048 12 0.300 0.300 0.300 -28.048 13 0.300 0.300 0.300 -22.319 14 0.300 0.300 0.300 -17.671 15 0.300 0.300 0.300 -13.925 16 0.300 0.300 0.300 -10.921 17 0.300 0.300 0.300 -8.521 18 0.300 0.300 0.300 -6.610 19 0.300 0.300 0.300 -5.094 20 0.300 0.300 0.300 -3.896 21 0.300 0.300 0.300 -2.958 22 0.300 0.300 0.300 -2.236 23 0.300 0.300 0.300 -1.688 24 0.300 0.300 0.300 -1.275 25 0.300 0.300 0.300 -0.965 26 0.300 0.300 0.300 -0.732 27 0.300 0.300 0.300 -0.556 28 0.300 0.300 0.300 -0.421 29 0.300 0.300 0.300 -0.319 30 0.300 0.300 0.300 -0.243 31 0.300 0.300 0.300 -0.187 32 0.300 0.300 0.300 -0.142 33 0.300 0.300 0.300 -0.108 34 0.300 0.300 0.300 -0.084 35 0.300 0.300 0.300 -0.064 36 0.300 0.300 0.300 -0.049 37 0.300 0.300 0.300 -0.037 38 0.300 0.300 0.300 -0.028 39 0.300 0.300 0.300 -0.023 40 0.300 0.300 0.300 -0.018 41 0.300 0.300 0.300 -0.016 42 0.300 0.300 0.300 -0.014 43 0.300 0.300 0.300 -0.013 44 0.300 0.300 0.300 -0.011 45 0.300 0.300 0.300 -0.004 46 0.300 0.300 0.300 -0.005 47 0.300 0.300 0.300 -0.005 48 0.300 0.300 0.300 -0.004 49 0.300 0.300 0.300 -0.004 50 0.300 0.300 0.300 -0.004 51 0.300 0.300 0.300 -0.002 52 0.300 0.300 0.300 -0.002 53 0.300 0.300 0.300 -0.002 54 0.300 0.300 0.300 -0.002 55 0.300 0.300 0.300 -0.002 56 0.300 0.300 0.300 -0.002 57 0.300 0.300 0.300 -0.003 58 0.300 0.300 0.300 -9.577E-4 59 0.300 0.300 0.300 -4.663E-4 60 0.300 0.300 0.300 -6.070E-6 ---- EQU MMAT0 Starting atmospheric concentration LOWER LEVEL UPPER MARGINAL 1 808.900 808.900 808.900 -2.790 ---- EQU MMAT Atmospheric concentration equation LOWER LEVEL UPPER MARGINAL 2 . . . -3.212 3 . . . -3.162 4 . . . -2.602 5 . . . -2.108 6 . . . -1.688 7 . . . -1.339 8 . . . -1.056 9 . . . -0.828 10 . . . -0.647 11 . . . -0.504 12 . . . -0.392 13 . . . -0.304 14 . . . -0.236 15 . . . -0.183 16 . . . -0.142 17 . . . -0.110 18 . . . -0.086 19 . . . -0.067 20 . . . -0.052 21 . . . -0.041 22 . . . -0.032 23 . . . -0.025 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 . . . -8.248E-4 37 . . . -6.310E-4 38 . . . -4.866E-4 39 . . . -3.805E-4 40 . . . -3.007E-4 41 . . . -2.389E-4 42 . . . -1.874E-4 43 . . . -1.402E-4 44 . . . -9.171E-5 45 . . . -4.304E-5 46 . . . -1.489E-5 47 . . . -3.864E-6 48 . . . -1.199E-5 49 . . . -3.492E-6 50 . . . -4.529E-6 51 . . . -3.462E-6 52 . . . -1.109E-6 53 . . . -5.439E-7 54 . . . -9.340E-7 55 . . . -1.094E-6 56 . . . -1.176E-6 57 . . . -2.214E-6 58 . . . -1.411E-6 59 . . . -8.331E-7 60 . . . -4.762E-7 ---- EQU MMATAVEQ Average concentrations equation LOWER LEVEL UPPER MARGINAL 1 . . . EPS 2 . . . -0.997 3 . . . -0.867 4 . . . -0.730 5 . . . -0.601 6 . . . -0.486 7 . . . -0.389 8 . . . -0.309 9 . . . -0.243 10 . . . -0.191 11 . . . -0.149 12 . . . -0.116 13 . . . -0.090 14 . . . -0.070 15 . . . -0.054 16 . . . -0.042 17 . . . -0.032 18 . . . -0.025 19 . . . -0.020 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 . . . -9.463E-4 32 . . . -7.254E-4 33 . . . -5.604E-4 34 . . . -4.439E-4 35 . . . -3.426E-4 36 . . . -2.643E-4 37 . . . -2.010E-4 38 . . . -1.569E-4 39 . . . -1.259E-4 40 . . . -1.041E-4 41 . . . -9.087E-5 42 . . . -8.196E-5 43 . . . -7.755E-5 44 . . . -6.499E-5 45 . . . -2.584E-5 46 . . . -2.608E-5 47 . . . -2.386E-5 48 . . . -2.192E-5 49 . . . -2.012E-5 50 . . . -1.546E-5 51 . . . -8.247E-6 52 . . . -5.283E-6 53 . . . -4.968E-6 54 . . . -5.646E-6 55 . . . -6.110E-6 56 . . . -6.716E-6 57 . . . -6.163E-6 58 . . . -2.107E-6 59 . . . -9.310E-7 60 . . . -2.145E-8 ---- EQU MMU0 Initial shallow ocean concentration LOWER LEVEL UPPER MARGINAL 1 1255.000 1255.000 1255.000 -1.151 ---- EQU MMU Shallow ocean concentration LOWER LEVEL UPPER MARGINAL 2 . . . -0.982 3 . . . -0.791 4 . . . -0.631 5 . . . -0.499 6 . . . -0.392 7 . . . -0.307 8 . . . -0.240 9 . . . -0.187 10 . . . -0.145 11 . . . -0.113 12 . . . -0.087 13 . . . -0.068 14 . . . -0.053 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 . . . -0.002 27 . . . -0.002 28 . . . -0.001 29 . . . -0.001 30 . . . -7.868E-4 31 . . . -5.853E-4 32 . . . -4.300E-4 33 . . . -3.106E-4 34 . . . -2.184E-4 35 . . . -1.475E-4 36 . . . -9.347E-5 37 . . . -5.226E-5 38 . . . -2.044E-5 39 . . . 4.7376E-6 40 . . . 2.5127E-5 41 . . . 4.1947E-5 42 . . . 5.5769E-5 43 . . . 6.6554E-5 44 . . . 7.3643E-5 45 . . . 7.6377E-5 46 . . . 7.6341E-5 47 . . . 7.5009E-5 48 . . . 7.4339E-5 49 . . . 7.2552E-5 50 . . . 7.0540E-5 51 . . . 6.8025E-5 52 . . . 6.4773E-5 53 . . . 6.0858E-5 54 . . . 5.6275E-5 55 . . . 5.0881E-5 56 . . . 4.4525E-5 57 . . . 3.7150E-5 58 . . . 2.8368E-5 59 . . . 1.7958E-5 60 . . . 5.6643E-6 ---- 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 . . . -9.702E-4 12 . . . -6.998E-4 13 . . . -4.899E-4 14 . . . -3.267E-4 15 . . . -1.998E-4 16 . . . -1.010E-4 17 . . . -2.403E-5 18 . . . 3.5997E-5 19 . . . 8.2797E-5 20 . . . 1.1925E-4 21 . . . 1.4765E-4 22 . . . 1.6975E-4 23 . . . 1.8694E-4 24 . . . 2.0032E-4 25 . . . 2.1075E-4 26 . . . 2.1891E-4 27 . . . 2.2530E-4 28 . . . 2.3035E-4 29 . . . 2.3434E-4 30 . . . 2.3754E-4 31 . . . 2.4011E-4 32 . . . 2.4221E-4 33 . . . 2.4394E-4 34 . . . 2.4538E-4 35 . . . 2.4661E-4 36 . . . 2.4768E-4 37 . . . 2.4862E-4 38 . . . 2.4946E-4 39 . . . 2.5022E-4 40 . . . 2.5093E-4 41 . . . 2.5158E-4 42 . . . 2.5219E-4 43 . . . 2.5277E-4 44 . . . 2.5333E-4 45 . . . 2.5389E-4 46 . . . 2.5444E-4 47 . . . 2.5501E-4 48 . . . 2.5557E-4 49 . . . 2.5614E-4 50 . . . 2.5672E-4 51 . . . 2.5731E-4 52 . . . 2.5792E-4 53 . . . 2.5853E-4 54 . . . 2.5917E-4 55 . . . 2.5982E-4 56 . . . 2.6049E-4 57 . . . 2.6119E-4 58 . . . 2.6192E-4 59 . . . 2.6268E-4 60 . . . 2.6348E-4 ---- EQU TATMEQ Temperature-climate equation for atmosphere LOWER LEVEL UPPER MARGINAL 2 . . . -732.336 3 . . . -669.615 4 . . . -591.765 5 . . . -510.294 6 . . . -432.039 7 . . . -360.650 8 . . . -297.710 9 . . . -243.523 10 . . . -197.659 11 . . . -159.307 12 . . . -127.493 13 . . . -101.449 14 . . . -80.323 15 . . . -63.297 16 . . . -49.641 17 . . . -38.732 18 . . . -30.045 19 . . . -23.152 20 . . . -17.709 21 . . . -13.447 22 . . . -10.165 23 . . . -7.673 24 . . . -5.797 25 . . . -4.387 26 . . . -3.326 27 . . . -2.525 28 . . . -1.916 29 . . . -1.451 30 . . . -1.103 31 . . . -0.851 32 . . . -0.643 33 . . . -0.490 34 . . . -0.383 35 . . . -0.292 36 . . . -0.222 37 . . . -0.167 38 . . . -0.129 39 . . . -0.102 40 . . . -0.084 41 . . . -0.072 42 . . . -0.064 43 . . . -0.060 44 . . . -0.050 45 . . . -0.020 46 . . . -0.022 47 . . . -0.021 48 . . . -0.020 49 . . . -0.020 50 . . . -0.017 51 . . . -0.011 52 . . . -0.010 53 . . . -0.011 54 . . . -0.011 55 . . . -0.011 56 . . . -0.011 57 . . . -0.012 58 . . . -0.004 59 . . . -0.002 60 . . . -2.759E-5 ---- EQU TATM0EQ Initial condition for atmospheric temperature LOWER LEVEL UPPER MARGINAL 1 0.731 0.731 0.731 -762.010 ---- EQU TOCEANEQ Temperature-climate equation for lower oceans LOWER LEVEL UPPER MARGINAL 2 . . . -219.483 3 . . . -184.514 4 . . . -153.113 5 . . . -125.720 6 . . . -102.321 7 . . . -82.651 8 . . . -66.318 9 . . . -52.890 10 . . . -41.941 11 . . . -33.081 12 . . . -25.965 13 . . . -20.283 14 . . . -15.771 15 . . . -12.203 16 . . . -9.397 17 . . . -7.201 18 . . . -5.492 19 . . . -4.173 20 . . . -3.162 21 . . . -2.394 22 . . . -1.814 23 . . . -1.376 24 . . . -1.046 25 . . . -0.796 26 . . . -0.607 27 . . . -0.464 28 . . . -0.355 29 . . . -0.273 30 . . . -0.211 31 . . . -0.163 32 . . . -0.126 33 . . . -0.099 34 . . . -0.078 35 . . . -0.061 36 . . . -0.049 37 . . . -0.040 38 . . . -0.033 39 . . . -0.028 40 . . . -0.024 41 . . . -0.020 42 . . . -0.017 43 . . . -0.013 44 . . . -0.010 45 . . . -0.010 46 . . . -0.009 47 . . . -0.008 48 . . . -0.007 49 . . . -0.006 50 . . . -0.005 51 . . . -0.004 52 . . . -0.004 53 . . . -0.003 54 . . . -0.002 55 . . . -0.002 56 . . . -0.001 57 . . . -4.218E-4 58 . . . -1.416E-4 59 . . . -1.821E-6 60 . . . EPS ---- EQU TOCEAN0EQ Initial condition for lower ocean temperature LOWER LEVEL UPPER MARGINAL 1 0.007 0.007 0.007 -256.843 ---- 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 0.005 231.137 2 . 0.159 1.000 . 3 . 0.185 1.000 . 4 . 0.212 1.000 . 5 . 0.240 1.000 . 6 . 0.269 1.000 . 7 . 0.300 1.000 . 8 . 0.333 1.000 . 9 . 0.368 1.000 . 10 . 0.404 1.000 . 11 . 0.443 1.000 . 12 . 0.484 1.000 . 13 . 0.528 1.000 . 14 . 0.574 1.000 . 15 . 0.624 1.000 . 16 . 0.677 1.000 . 17 . 0.734 1.000 . 18 . 0.795 1.000 . 19 . 0.861 1.000 . 20 . 0.929 1.000 . 21 . 1.000 1.000 0.076 22 . 1.000 1.000 1.491 23 . 1.000 1.000 2.253 24 . 1.000 1.000 2.595 25 . 1.000 1.000 2.672 26 . 1.000 1.000 2.590 27 . 1.000 1.000 2.414 28 . 1.000 1.000 2.199 29 . 1.000 1.000 1.981 30 . 1.000 1.000 1.757 31 . 1.000 1.000 1.490 32 . 1.000 1.000 1.303 33 . 1.000 1.000 1.125 34 . 1.000 1.000 0.924 35 . 1.000 1.000 0.784 36 . 1.000 1.000 0.658 37 . 1.000 1.000 0.564 38 . 1.000 1.000 0.474 39 . 1.000 1.000 0.395 40 . 1.000 1.000 0.328 41 . 1.000 1.000 0.261 42 . 1.000 1.000 0.203 43 . 1.000 1.000 0.133 44 . 1.000 1.000 0.053 45 . 1.000 1.000 0.038 46 . 0.914 1.000 . 47 . 1.000 1.000 0.013 48 . 0.922 1.000 . 49 . 0.898 1.000 . 50 . 0.869 1.000 . 51 . 0.895 1.000 . 52 . 0.682 1.000 . 53 . 0.983 1.000 . 54 . 0.973 1.000 . 55 . 0.991 1.000 . 56 . 1.000 1.000 0.001 57 . . 1.000 8.1281E-4 58 . 0.990 1.000 -1.059E-4 59 . 0.557 1.000 . 60 . 0.941 1.000 . ---- VAR FORC Radiative forcing in watts per m2 LOWER LEVEL UPPER MARGINAL 1 -INF 1.791 +INF . 2 -INF 2.143 +INF . 3 -INF 2.453 +INF . 4 -INF 2.757 +INF . 5 -INF 3.050 +INF . 6 -INF 3.330 +INF . 7 -INF 3.597 +INF . 8 -INF 3.851 +INF . 9 -INF 4.091 +INF . 10 -INF 4.316 +INF . 11 -INF 4.527 +INF . 12 -INF 4.686 +INF . 13 -INF 4.827 +INF . 14 -INF 4.948 +INF . 15 -INF 5.046 +INF . 16 -INF 5.116 +INF . 17 -INF 5.154 +INF . 18 -INF 5.152 +INF . 19 -INF 5.100 +INF . 20 -INF 4.989 +INF . 21 -INF 4.802 +INF . 22 -INF 4.594 +INF . 23 -INF 4.420 +INF . 24 -INF 4.273 +INF . 25 -INF 4.145 +INF . 26 -INF 4.031 +INF . 27 -INF 3.928 +INF . 28 -INF 3.833 +INF . 29 -INF 3.744 +INF . 30 -INF 3.660 +INF . 31 -INF 3.579 +INF . 32 -INF 3.502 +INF . 33 -INF 3.428 +INF . 34 -INF 3.355 +INF . 35 -INF 3.285 +INF . 36 -INF 3.217 +INF . 37 -INF 3.150 +INF . 38 -INF 3.085 +INF . 39 -INF 3.021 +INF . 40 -INF 2.959 +INF . 41 -INF 2.899 +INF . 42 -INF 2.840 +INF . 43 -INF 2.782 +INF . 44 -INF 2.726 +INF . 45 -INF 2.671 +INF . 46 -INF 3.142 +INF . 47 -INF 3.489 +INF . 48 -INF 3.656 +INF . 49 -INF 4.166 +INF . 50 -INF 4.834 +INF . 51 -INF 5.676 +INF . 52 -INF 7.521 +INF . 53 -INF 8.371 +INF . 54 -INF 7.857 +INF . 55 -INF 7.426 +INF . 56 -INF 7.010 +INF . 57 -INF 7.639 +INF . 58 -INF 8.138 +INF . 59 -INF 8.671 +INF . 60 -INF 5.540 +INF . ---- VAR TATM Temperature of atmosphere in degrees C LOWER LEVEL UPPER MARGINAL 1 . 0.731 20.000 . 2 . 0.951 20.000 . 3 . 1.166 20.000 . 4 . 1.376 20.000 . 5 . 1.582 20.000 . 6 . 1.783 20.000 . 7 . 1.978 20.000 . 8 . 2.166 20.000 . 9 . 2.348 20.000 . 10 . 2.522 20.000 . 11 . 2.689 20.000 . 12 . 2.840 20.000 . 13 . 2.976 20.000 . 14 . 3.098 20.000 . 15 . 3.207 20.000 . 16 . 3.301 20.000 . 17 . 3.377 20.000 . 18 . 3.434 20.000 . 19 . 3.466 20.000 . 20 . 3.470 20.000 . 21 . 3.438 20.000 . 22 . 3.377 20.000 . 23 . 3.304 20.000 . 24 . 3.229 20.000 . 25 . 3.157 20.000 . 26 . 3.089 20.000 . 27 . 3.025 20.000 . 28 . 2.966 20.000 . 29 . 2.910 20.000 . 30 . 2.858 20.000 . 31 . 2.809 20.000 . 32 . 2.761 20.000 . 33 . 2.715 20.000 . 34 . 2.671 20.000 . 35 . 2.628 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 . 2.312 20.000 . 47 . 2.440 20.000 . 48 . 2.560 20.000 . 49 . 2.751 20.000 . 50 . 3.024 20.000 . 51 . 3.389 20.000 . 52 . 4.037 20.000 . 53 . 4.651 20.000 . 54 . 4.946 20.000 . 55 . 5.051 20.000 . 56 . 5.036 20.000 . 57 . 5.172 20.000 . 58 . 5.378 20.000 . 59 . 5.637 20.000 . 60 . 5.126 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 0.348 20.000 . 8 -1.000 0.430 20.000 . 9 -1.000 0.517 20.000 . 10 -1.000 0.608 20.000 . 11 -1.000 0.704 20.000 . 12 -1.000 0.803 20.000 . 13 -1.000 0.905 20.000 . 14 -1.000 1.009 20.000 . 15 -1.000 1.113 20.000 . 16 -1.000 1.218 20.000 . 17 -1.000 1.322 20.000 . 18 -1.000 1.425 20.000 . 19 -1.000 1.525 20.000 . 20 -1.000 1.622 20.000 . 21 -1.000 1.715 20.000 . 22 -1.000 1.801 20.000 . 23 -1.000 1.880 20.000 . 24 -1.000 1.951 20.000 . 25 -1.000 2.015 20.000 . 26 -1.000 2.072 20.000 . 27 -1.000 2.123 20.000 . 28 -1.000 2.168 20.000 . 29 -1.000 2.208 20.000 . 30 -1.000 2.243 20.000 . 31 -1.000 2.274 20.000 . 32 -1.000 2.300 20.000 . 33 -1.000 2.323 20.000 . 34 -1.000 2.343 20.000 . 35 -1.000 2.359 20.000 . 36 -1.000 2.373 20.000 . 37 -1.000 2.383 20.000 . 38 -1.000 2.391 20.000 . 39 -1.000 2.397 20.000 . 40 -1.000 2.400 20.000 . 41 -1.000 2.401 20.000 . 42 -1.000 2.401 20.000 . 43 -1.000 2.398 20.000 . 44 -1.000 2.393 20.000 . 45 -1.000 2.387 20.000 . 46 -1.000 2.379 20.000 . 47 -1.000 2.376 20.000 . 48 -1.000 2.379 20.000 . 49 -1.000 2.388 20.000 . 50 -1.000 2.407 20.000 . 51 -1.000 2.437 20.000 . 52 -1.000 2.485 20.000 . 53 -1.000 2.563 20.000 . 54 -1.000 2.667 20.000 . 55 -1.000 2.781 20.000 . 56 -1.000 2.894 20.000 . 57 -1.000 3.001 20.000 . 58 -1.000 3.110 20.000 . 59 -1.000 3.223 20.000 . 60 -1.000 3.344 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 10.000 907.851 +INF 2.0227E-5 4 10.000 954.103 +INF 2.2069E-5 5 10.000 1000.969 +INF 1.9823E-5 6 10.000 1047.856 +INF 2.1556E-5 7 10.000 1094.346 +INF 2.2483E-5 8 10.000 1140.110 +INF 2.3580E-5 9 10.000 1184.839 +INF 2.2970E-5 10 10.000 1228.197 +INF 2.3552E-5 11 10.000 1269.785 +INF 2.4519E-5 12 10.000 1309.111 +INF 2.6260E-5 13 10.000 1345.545 +INF 2.6429E-5 14 10.000 1378.283 +INF 2.8167E-5 15 10.000 1406.319 +INF 3.0125E-5 16 10.000 1428.402 +INF 3.1610E-5 17 10.000 1443.001 +INF 3.7864E-5 18 10.000 1448.257 +INF 4.0303E-5 19 10.000 1441.919 +INF 4.5854E-5 20 10.000 1421.305 +INF 1.8541E-4 21 10.000 1384.119 +INF . 22 10.000 1327.615 +INF . 23 10.000 1282.808 +INF . 24 10.000 1246.304 +INF . 25 10.000 1215.741 +INF . 26 10.000 1189.475 +INF . 27 10.000 1166.358 +INF . 28 10.000 1145.588 +INF . 29 10.000 1126.605 +INF . 30 10.000 1109.013 +INF . 31 10.000 1092.534 +INF . 32 10.000 1076.968 +INF . 33 10.000 1062.175 +INF . 34 10.000 1048.050 +INF . 35 10.000 1034.518 +INF . 36 10.000 1021.522 +INF . 37 10.000 1009.018 +INF . 38 10.000 996.973 +INF . 39 10.000 985.359 +INF . 40 10.000 974.153 +INF . 41 10.000 963.336 +INF . 42 10.000 952.891 +INF . 43 10.000 942.803 +INF . 44 10.000 933.057 +INF . 45 10.000 923.642 +INF . 46 10.000 914.546 +INF . 47 10.000 1088.631 +INF -1.675E-5 48 10.000 1045.522 +INF . 49 10.000 1154.436 +INF -7.847E-6 50 10.000 1260.193 +INF -3.192E-6 51 10.000 1467.104 +INF 2.9700E-6 52 10.000 1713.122 +INF 5.4226E-6 53 10.000 2739.318 +INF 5.3134E-6 54 10.000 2459.471 +INF 4.3715E-6 55 10.000 2274.705 +INF 2.6901E-6 56 10.000 2101.244 +INF . 57 10.000 1955.100 +INF . 58 10.000 2594.003 +INF . 59 10.000 2389.021 +INF . 60 10.000 3102.281 +INF . ---- VAR MATAV Average concentrations LOWER LEVEL UPPER MARGINAL 1 . 836.004 +INF . 2 . 885.479 +INF . 3 . 930.977 +INF . 4 . 977.536 +INF . 5 . 1024.413 +INF . 6 . 1071.101 +INF . 7 . 1117.228 +INF . 8 . 1162.474 +INF . 9 . 1206.518 +INF . 10 . 1248.991 +INF . 11 . 1289.448 +INF . 12 . 1327.328 +INF . 13 . 1361.914 +INF . 14 . 1392.301 +INF . 15 . 1417.360 +INF . 16 . 1435.702 +INF . 17 . 1445.629 +INF . 18 . 1445.088 +INF . 19 . 1431.612 +INF . 20 . 1402.712 +INF . 21 . 1355.867 +INF . 22 . 1305.212 +INF . 23 . 1264.556 +INF . 24 . 1231.022 +INF . 25 . 1202.608 +INF . 26 . 1177.916 +INF . 27 . 1155.973 +INF . 28 . 1136.097 +INF . 29 . 1117.809 +INF . 30 . 1100.774 +INF . 31 . 1084.751 +INF . 32 . 1069.571 +INF . 33 . 1055.112 +INF . 34 . 1041.284 +INF . 35 . 1028.020 +INF . 36 . 1015.270 +INF . 37 . 1002.996 +INF . 38 . 991.166 +INF . 39 . 979.756 +INF . 40 . 968.745 +INF . 41 . 958.114 +INF . 42 . 947.847 +INF . 43 . 937.930 +INF . 44 . 928.350 +INF . 45 . 919.094 +INF . 46 . 1001.588 +INF . 47 . 1067.077 +INF . 48 . 1099.979 +INF . 49 . 1207.315 +INF . 50 . 1363.648 +INF . 51 . 1590.113 +INF . 52 . 2226.220 +INF . 53 . 2599.395 +INF . 54 . 2367.088 +INF . 55 . 2187.975 +INF . 56 . 2028.172 +INF . 57 . 2274.551 +INF . 58 . 2491.512 +INF . 59 . 2745.651 +INF . 60 . 1551.141 +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 1348.673 +INF . 5 100.000 1388.067 +INF . 6 100.000 1430.565 +INF . 7 100.000 1475.719 +INF . 8 100.000 1523.070 +INF . 9 100.000 1572.164 +INF . 10 100.000 1622.555 +INF . 11 100.000 1673.801 +INF . 12 100.000 1725.449 +INF . 13 100.000 1777.018 +INF . 14 100.000 1827.980 +INF . 15 100.000 1877.735 +INF . 16 100.000 1925.575 +INF . 17 100.000 1970.665 +INF . 18 100.000 2011.999 +INF . 19 100.000 2048.369 +INF . 20 100.000 2078.316 +INF . 21 100.000 2100.089 +INF . 22 100.000 2111.759 +INF . 23 100.000 2111.160 +INF . 24 100.000 2102.313 +INF . 25 100.000 2088.003 +INF . 26 100.000 2070.158 +INF . 27 100.000 2050.108 +INF . 28 100.000 2028.771 +INF . 29 100.000 2006.778 +INF . 30 100.000 1984.558 +INF . 31 100.000 1962.406 +INF . 32 100.000 1940.517 +INF . 33 100.000 1919.023 +INF . 34 100.000 1898.007 +INF . 35 100.000 1877.522 +INF . 36 100.000 1857.598 +INF . 37 100.000 1838.251 +INF . 38 100.000 1819.486 +INF . 39 100.000 1801.300 +INF . 40 100.000 1783.686 +INF . 41 100.000 1766.635 +INF . 42 100.000 1750.134 +INF . 43 100.000 1734.169 +INF . 44 100.000 1718.727 +INF . 45 100.000 1703.792 +INF . 46 100.000 1689.350 +INF . 47 100.000 1675.386 +INF . 48 100.000 1696.501 +INF . 49 100.000 1706.417 +INF . 50 100.000 1735.561 +INF . 51 100.000 1780.506 +INF . 52 100.000 1858.078 +INF . 53 100.000 1970.883 +INF . 54 100.000 2261.425 +INF . 55 100.000 2456.336 +INF . 56 100.000 2587.739 +INF . 57 100.000 2667.152 +INF . 58 100.000 2707.418 +INF . 59 100.000 2862.914 +INF . 60 100.000 2956.944 +INF -5.664E-6 ---- 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 18395.644 +INF . 6 1000.000 18407.679 +INF . 7 1000.000 18421.802 +INF . 8 1000.000 18438.138 +INF . 9 1000.000 18456.791 +INF . 10 1000.000 18477.840 +INF . 11 1000.000 18501.343 +INF . 12 1000.000 18527.335 +INF . 13 1000.000 18555.829 +INF . 14 1000.000 18586.812 +INF . 15 1000.000 18620.247 +INF . 16 1000.000 18656.065 +INF . 17 1000.000 18694.163 +INF . 18 1000.000 18734.397 +INF . 19 1000.000 18776.572 +INF . 20 1000.000 18820.435 +INF . 21 1000.000 18865.658 +INF . 22 1000.000 18911.828 +INF . 23 1000.000 18958.438 +INF . 24 1000.000 19004.873 +INF . 25 1000.000 19050.720 +INF . 26 1000.000 19095.709 +INF . 27 1000.000 19139.666 +INF . 28 1000.000 19182.483 +INF . 29 1000.000 19224.099 +INF . 30 1000.000 19264.486 +INF . 31 1000.000 19303.636 +INF . 32 1000.000 19341.557 +INF . 33 1000.000 19378.264 +INF . 34 1000.000 19413.783 +INF . 35 1000.000 19448.140 +INF . 36 1000.000 19481.365 +INF . 37 1000.000 19513.491 +INF . 38 1000.000 19544.549 +INF . 39 1000.000 19574.573 +INF . 40 1000.000 19603.593 +INF . 41 1000.000 19631.642 +INF . 42 1000.000 19658.751 +INF . 43 1000.000 19684.950 +INF . 44 1000.000 19710.269 +INF . 45 1000.000 19734.738 +INF . 46 1000.000 19758.383 +INF . 47 1000.000 19781.233 +INF . 48 1000.000 19803.313 +INF . 49 1000.000 19826.379 +INF . 50 1000.000 19849.870 +INF . 51 1000.000 19874.745 +INF . 52 1000.000 19901.789 +INF . 53 1000.000 19932.628 +INF . 54 1000.000 19969.011 +INF . 55 1000.000 20019.807 +INF . 56 1000.000 20080.190 +INF . 57 1000.000 20146.956 +INF . 58 1000.000 20217.484 +INF . 59 1000.000 20289.805 +INF . 60 1000.000 20369.675 +INF -2.635E-4 ---- VAR E CO2-equivalent emissions GtC LOWER LEVEL UPPER MARGINAL 1 . 85.320 +INF . 2 . 83.624 +INF . 3 . 90.478 +INF . 4 . 96.358 +INF . 5 . 101.419 +INF . 6 . 105.767 +INF . 7 . 109.451 +INF . 8 . 112.476 +INF . 9 . 114.799 +INF . 10 . 116.337 +INF . 11 . 116.965 +INF . 12 . 116.497 +INF . 13 . 114.685 +INF . 14 . 111.224 +INF . 15 . 105.742 +INF . 16 . 97.787 +INF . 17 . 86.824 +INF . 18 . 72.207 +INF . 19 . 53.195 +INF . 20 . 29.810 +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 . 0.119 +INF . 45 . 0.107 +INF . 46 . 182.971 +INF . 47 . 0.086 +INF . 48 . 141.897 +INF . 49 . 158.391 +INF . 50 . 276.731 +INF . 51 . 350.635 +INF . 52 . 1169.840 +INF . 53 . 47.077 +INF . 54 . 60.943 +INF . 55 . 18.325 +INF . 56 . 0.033 +INF . 57 . 749.698 +INF . 58 . 22.835 +INF . 59 . 887.161 +INF . 60 . 91.376 +INF 6.9319E-9 ---- VAR C Consumption trillions US dollars LOWER LEVEL UPPER MARGINAL 1 20.000 43.099 +INF . 2 20.000 54.632 +INF . 3 20.000 66.896 +INF . 4 20.000 80.047 +INF . 5 20.000 94.270 +INF . 6 20.000 109.768 +INF . 7 20.000 126.760 +INF . 8 20.000 145.481 +INF . 9 20.000 166.174 +INF . 10 20.000 189.103 +INF . 11 20.000 214.545 +INF . 12 20.000 242.816 +INF . 13 20.000 274.249 +INF . 14 20.000 309.199 +INF . 15 20.000 348.054 +INF . 16 20.000 391.236 +INF . 17 20.000 439.218 +INF . 18 20.000 492.531 +INF . 19 20.000 551.804 +INF . 20 20.000 617.867 +INF . 21 20.000 691.649 +INF . 22 20.000 774.773 +INF . 23 20.000 867.707 +INF . 24 20.000 971.016 +INF . 25 20.000 1085.379 +INF . 26 20.000 1211.943 +INF . 27 20.000 1350.897 +INF . 28 20.000 1505.973 +INF . 29 20.000 1685.447 +INF . 30 20.000 1887.756 +INF . 31 20.000 2055.459 +INF . 32 20.000 2307.794 +INF . 33 20.000 2592.311 +INF . 34 20.000 2780.301 +INF . 35 20.000 3091.459 +INF . 36 20.000 3406.398 +INF . 37 20.000 3857.583 +INF . 38 20.000 4270.181 +INF . 39 20.000 4637.208 +INF . 40 20.000 5026.559 +INF . 41 20.000 5198.124 +INF . 42 20.000 5441.692 +INF . 43 20.000 5020.769 +INF . 44 20.000 4508.976 +INF . 45 20.000 12909.383 +INF . 46 20.000 8478.962 +INF . 47 20.000 7542.575 +INF . 48 20.000 7739.456 +INF . 49 20.000 6066.218 +INF . 50 20.000 6300.563 +INF . 51 20.000 11963.061 +INF . 52 20.000 16379.897 +INF . 53 20.000 12517.954 +INF . 54 20.000 10189.096 +INF . 55 20.000 9102.991 +INF . 56 20.000 7678.724 +INF . 57 20.000 3156.638 +INF . 58 20.000 10601.785 +INF . 59 20.000 9470.600 +INF . 60 20.000 7578.731 +INF . ---- VAR K Capital stock trillions US dollars LOWER LEVEL UPPER MARGINAL 1 100.000 137.000 +INF . 2 100.000 172.607 +INF 6.7762E-7 3 100.000 211.844 +INF 7.2560E-8 4 100.000 254.795 +INF 2.5790E-7 5 100.000 301.798 +INF -5.598E-9 6 100.000 353.402 +INF 5.1738E-9 7 100.000 410.289 +INF 6.9946E-8 8 100.000 473.241 +INF 3.4337E-7 9 100.000 543.118 +INF 1.6887E-7 10 100.000 620.849 +INF -3.539E-8 11 100.000 707.431 +INF -1.400E-7 12 100.000 803.912 +INF -1.306E-7 13 100.000 911.605 +INF 2.1188E-7 14 100.000 1031.909 +INF -1.359E-7 15 100.000 1166.341 +INF 4.3857E-7 16 100.000 1316.573 +INF 5.6597E-7 17 100.000 1484.457 +INF 6.0336E-7 18 100.000 1672.026 +INF 1.1462E-6 19 100.000 1881.427 +INF 2.6782E-7 20 100.000 2114.606 +INF -1.241E-5 21 100.000 2372.466 +INF 1.1727E-5 22 100.000 2654.066 +INF 1.4389E-6 23 100.000 2975.092 +INF 2.2271E-6 24 100.000 3337.939 +INF 3.6395E-6 25 100.000 3746.695 +INF 1.1256E-6 26 100.000 4207.794 +INF -1.098E-5 27 100.000 4727.284 +INF -1.231E-5 28 100.000 5321.092 +INF -3.536E-5 29 100.000 5984.600 +INF -6.613E-5 30 100.000 6639.002 +INF -4.764E-5 31 100.000 7199.839 +INF 6.5840E-5 32 100.000 8132.920 +INF -2.717E-5 33 100.000 8926.172 +INF -1.624E-5 34 100.000 9385.769 +INF 4.8668E-5 35 100.000 10527.585 +INF 5.5842E-6 36 100.000 11647.447 +INF 8.1550E-6 37 100.000 12931.842 +INF -4.785E-6 38 100.000 13346.762 +INF 6.5367E-6 39 100.000 13140.032 +INF 1.3810E-5 40 100.000 12657.054 +INF 1.5787E-5 41 100.000 11643.391 +INF 2.3746E-5 42 100.000 11919.011 +INF 1.9964E-5 43 100.000 14004.823 +INF 2.6208E-5 44 100.000 26559.784 +INF 1.4316E-5 45 100.000 56932.946 +INF -2.781E-5 46 100.000 14858.414 +INF 1.0619E-5 47 100.000 8584.359 +INF 1.5638E-5 48 100.000 6816.986 +INF 1.4991E-5 49 100.000 3457.338 +INF 4.4940E-5 50 100.000 8297.015 +INF 1.6010E-5 51 100.000 32938.606 +INF -3.875E-6 52 100.000 39987.439 +INF -4.267E-7 53 100.000 14580.574 +INF 2.3989E-6 54 100.000 6304.757 +INF 6.1679E-6 55 100.000 3526.768 +INF 1.0674E-5 56 100.000 1607.188 +INF . 57 100.000 100.000 +INF 9.6231E-4 58 100.000 3535.586 +INF . 59 100.000 2013.537 +INF . 60 100.000 761.828 +INF . ---- VAR CPC Per capita consumption thousands US dollars LOWER LEVEL UPPER MARGINAL 1 -INF 6.616 +INF . 2 -INF 7.662 +INF . 3 -INF 8.844 +INF . 4 -INF 10.171 +INF . 5 -INF 11.659 +INF . 6 -INF 13.325 +INF . 7 -INF 15.191 +INF . 8 -INF 17.278 +INF . 9 -INF 19.612 +INF . 10 -INF 22.220 +INF . 11 -INF 25.131 +INF . 12 -INF 28.381 +INF . 13 -INF 32.006 +INF . 14 -INF 36.046 +INF . 15 -INF 40.545 +INF . 16 -INF 45.551 +INF . 17 -INF 51.118 +INF . 18 -INF 57.307 +INF . 19 -INF 64.192 +INF . 20 -INF 71.868 +INF . 21 -INF 80.442 +INF . 22 -INF 90.104 +INF . 23 -INF 100.907 +INF . 24 -INF 112.918 +INF . 25 -INF 126.214 +INF . 26 -INF 140.929 +INF . 27 -INF 157.085 +INF . 28 -INF 175.116 +INF . 29 -INF 195.985 +INF . 30 -INF 219.509 +INF . 31 -INF 239.008 +INF . 32 -INF 268.349 +INF . 33 -INF 301.433 +INF . 34 -INF 323.292 +INF . 35 -INF 359.473 +INF . 36 -INF 396.093 +INF . 37 -INF 448.557 +INF . 38 -INF 496.533 +INF . 39 -INF 539.210 +INF . 40 -INF 584.484 +INF . 41 -INF 604.433 +INF . 42 -INF 632.755 +INF . 43 -INF 583.810 +INF . 44 -INF 524.300 +INF . 45 -INF 1501.091 +INF . 46 -INF 985.926 +INF . 47 -INF 877.044 +INF . 48 -INF 899.937 +INF . 49 -INF 705.374 +INF . 50 -INF 732.624 +INF . 51 -INF 1391.054 +INF . 52 -INF 1904.639 +INF . 53 -INF 1455.576 +INF . 54 -INF 1184.779 +INF . 55 -INF 1058.487 +INF . 56 -INF 892.875 +INF . 57 -INF 367.051 +INF . 58 -INF 1232.766 +INF . 59 -INF 1101.233 +INF . 60 -INF 881.248 +INF . ---- VAR PCY Per capita income thousands US dollars LOWER LEVEL UPPER MARGINAL 1 -INF 8.533 +INF . 2 -INF 9.789 +INF . 3 -INF 11.236 +INF . 4 -INF 12.877 +INF . 5 -INF 14.728 +INF . 6 -INF 16.810 +INF . 7 -INF 19.148 +INF . 8 -INF 21.769 +INF . 9 -INF 24.704 +INF . 10 -INF 27.988 +INF . 11 -INF 31.659 +INF . 12 -INF 35.760 +INF . 13 -INF 40.339 +INF . 14 -INF 45.448 +INF . 15 -INF 51.144 +INF . 16 -INF 57.489 +INF . 17 -INF 64.553 +INF . 18 -INF 72.415 +INF . 19 -INF 81.160 +INF . 20 -INF 90.887 +INF . 21 -INF 101.689 +INF . 22 -INF 113.941 +INF . 23 -INF 127.661 +INF . 24 -INF 142.953 +INF . 25 -INF 159.953 +INF . 26 -INF 178.839 +INF . 27 -INF 199.793 +INF . 28 -INF 223.132 +INF . 29 -INF 248.919 +INF . 30 -INF 276.311 +INF . 31 -INF 304.387 +INF . 32 -INF 339.168 +INF . 33 -INF 374.379 +INF . 34 -INF 407.652 +INF . 35 -INF 452.225 +INF . 36 -INF 499.240 +INF . 37 -INF 551.321 +INF . 38 -INF 595.211 +INF . 39 -INF 633.111 +INF . 40 -INF 668.555 +INF . 41 -INF 695.819 +INF . 42 -INF 747.277 +INF . 43 -INF 835.864 +INF . 44 -INF 1078.627 +INF . 45 -INF 1443.034 +INF . 46 -INF 1025.502 +INF . 47 -INF 921.506 +INF . 48 -INF 912.500 +INF . 49 -INF 787.834 +INF . 50 -INF 1081.991 +INF . 51 -INF 1722.478 +INF . 52 -INF 1912.056 +INF . 53 -INF 1469.772 +INF . 54 -INF 1200.226 +INF . 55 -INF 1062.877 +INF . 56 -INF 887.521 +INF . 57 -INF 407.757 +INF . 58 -INF 1241.844 +INF . 59 -INF 1101.927 +INF . 60 -INF 878.159 +INF . ---- VAR I Investment trillions US dollars LOWER LEVEL UPPER MARGINAL 1 -INF 12.484 +INF . 2 -INF 15.166 +INF . 3 -INF 18.093 +INF . 4 -INF 21.296 +INF . 5 -INF 24.817 +INF . 6 -INF 28.707 +INF . 7 -INF 33.018 +INF . 8 -INF 37.811 +INF . 9 -INF 43.148 +INF . 10 -INF 49.095 +INF . 11 -INF 55.725 +INF . 12 -INF 63.130 +INF . 13 -INF 71.405 +INF . 14 -INF 80.654 +INF . 15 -INF 90.990 +INF . 16 -INF 102.540 +INF . 17 -INF 115.443 +INF . 18 -INF 129.843 +INF . 19 -INF 145.859 +INF . 20 -INF 163.515 +INF . 21 -INF 182.684 +INF . 22 -INF 204.968 +INF . 23 -INF 230.059 +INF . 24 -INF 258.283 +INF . 25 -INF 290.140 +INF . 26 -INF 326.012 +INF . 27 -INF 367.279 +INF . 28 -INF 412.925 +INF . 29 -INF 455.230 +INF . 30 -INF 488.496 +INF . 31 -INF 562.249 +INF . 32 -INF 609.040 +INF . 33 -INF 627.341 +INF . 34 -INF 725.497 +INF . 35 -INF 797.671 +INF . 36 -INF 887.063 +INF . 37 -INF 883.771 +INF . 38 -INF 848.630 +INF . 39 -INF 807.541 +INF . 40 -INF 723.015 +INF . 41 -INF 785.921 +INF . 42 -INF 984.892 +INF . 43 -INF 2167.660 +INF . 44 -INF 4767.212 +INF . 45 -INF -499.288 +INF . 46 -INF 340.355 +INF . 47 -INF 382.381 +INF . 48 -INF 108.040 +INF . 49 -INF 709.152 +INF . 50 -INF 3004.562 +INF . 51 -INF 2850.246 +INF . 52 -INF 63.782 +INF . 53 -INF 122.082 +INF . 54 -INF 132.844 +INF . 55 -INF 37.748 +INF . 56 -INF -46.039 +INF . 57 -INF 350.072 +INF . 58 -INF 78.075 +INF . 59 -INF 5.975 +INF . 60 -INF -26.563 +INF . ---- VAR S Gross savings rate as fraction of gross world product LOWER LEVEL UPPER MARGINAL 1 -INF 0.225 +INF . 2 -INF 0.217 +INF . 3 -INF 0.213 +INF . 4 -INF 0.210 +INF . 5 -INF 0.208 +INF . 6 -INF 0.207 +INF . 7 -INF 0.207 +INF . 8 -INF 0.206 +INF . 9 -INF 0.206 +INF . 10 -INF 0.206 +INF . 11 -INF 0.206 +INF . 12 -INF 0.206 +INF . 13 -INF 0.207 +INF . 14 -INF 0.207 +INF . 15 -INF 0.207 +INF . 16 -INF 0.208 +INF . 17 -INF 0.208 +INF . 18 -INF 0.209 +INF . 19 -INF 0.209 +INF . 20 -INF 0.209 +INF . 21 -INF 0.209 +INF . 22 -INF 0.209 +INF . 23 -INF 0.210 +INF . 24 -INF 0.210 +INF . 25 -INF 0.211 +INF . 26 -INF 0.212 +INF . 27 -INF 0.214 +INF . 28 -INF 0.215 +INF . 29 -INF 0.213 +INF . 30 -INF 0.206 +INF . 31 -INF 0.215 +INF . 32 -INF 0.209 +INF . 33 -INF 0.195 +INF . 34 -INF 0.207 +INF . 35 -INF 0.205 +INF . 36 -INF 0.207 +INF . 37 -INF 0.186 +INF . 38 -INF 0.166 +INF . 39 -INF 0.148 +INF . 40 -INF 0.126 +INF . 41 -INF 0.131 +INF . 42 -INF 0.153 +INF . 43 -INF 0.302 +INF . 44 -INF 0.514 +INF . 45 -INF -0.040 +INF . 46 -INF 0.039 +INF . 47 -INF 0.048 +INF . 48 -INF 0.014 +INF . 49 -INF 0.105 +INF . 50 -INF 0.323 +INF . 51 -INF 0.192 +INF . 52 -INF 0.004 +INF . 53 -INF 0.010 +INF . 54 -INF 0.013 +INF . 55 -INF 0.004 +INF . 56 -INF -0.006 +INF . 57 -INF 0.100 +INF . 58 -INF 0.007 +INF . 59 -INF 6.3052E-4 +INF . 60 -INF -0.004 +INF . ---- VAR RI Real interest rate per annum LOWER LEVEL UPPER MARGINAL 1 -INF 0.057 +INF . 2 -INF 0.056 +INF . 3 -INF 0.055 +INF . 4 -INF 0.054 +INF . 5 -INF 0.053 +INF . 6 -INF 0.052 +INF . 7 -INF 0.052 +INF . 8 -INF 0.051 +INF . 9 -INF 0.050 +INF . 10 -INF 0.050 +INF . 11 -INF 0.049 +INF . 12 -INF 0.049 +INF . 13 -INF 0.049 +INF . 14 -INF 0.048 +INF . 15 -INF 0.048 +INF . 16 -INF 0.047 +INF . 17 -INF 0.047 +INF . 18 -INF 0.047 +INF . 19 -INF 0.046 +INF . 20 -INF 0.046 +INF . 21 -INF 0.045 +INF . 22 -INF 0.046 +INF . 23 -INF 0.046 +INF . 24 -INF 0.045 +INF . 25 -INF 0.045 +INF . 26 -INF 0.045 +INF . 27 -INF 0.044 +INF . 28 -INF 0.043 +INF . 29 -INF 0.042 +INF . 30 -INF 0.042 +INF . 31 -INF 0.044 +INF . 32 -INF 0.042 +INF . 33 -INF 0.043 +INF . 34 -INF 0.047 +INF . 35 -INF 0.046 +INF . 36 -INF 0.045 +INF . 37 -INF 0.045 +INF . 38 -INF 0.050 +INF . 39 -INF 0.059 +INF . 40 -INF 0.071 +INF . 41 -INF 0.089 +INF . 42 -INF 0.097 +INF . 43 -INF 0.089 +INF . 44 -INF 0.040 +INF . 45 -INF 2.6106E-4 +INF . 46 -INF 0.113 +INF . 47 -INF 0.212 +INF . 48 -INF 0.280 +INF . 49 -INF 0.523 +INF . 50 -INF 0.271 +INF . 51 -INF 0.070 +INF . 52 -INF 0.058 +INF . 53 -INF 0.195 +INF . 54 -INF 0.426 +INF . 55 -INF 0.712 +INF . 56 -INF 1.360 +INF . 57 -INF 10.455 +INF . 58 -INF 0.841 +INF . 59 -INF 1.347 +INF . 60 -INF 2.909 +INF . ---- VAR Y Gross world product net of abatement and damages LOWER LEVEL UPPER MARGINAL 1 . 55.583 +INF . 2 . 69.798 +INF . 3 . 84.989 +INF . 4 . 101.343 +INF . 5 . 119.087 +INF . 6 . 138.474 +INF . 7 . 159.779 +INF . 8 . 183.292 +INF . 9 . 209.322 +INF . 10 . 238.198 +INF . 11 . 270.269 +INF . 12 . 305.946 +INF . 13 . 345.654 +INF . 14 . 389.853 +INF . 15 . 439.044 +INF . 16 . 493.776 +INF . 17 . 554.660 +INF . 18 . 622.373 +INF . 19 . 697.663 +INF . 20 . 781.382 +INF . 21 . 874.333 +INF . 22 . 979.741 +INF . 23 . 1097.766 +INF . 24 . 1229.299 +INF . 25 . 1375.519 +INF . 26 . 1537.955 +INF . 27 . 1718.176 +INF . 28 . 1918.898 +INF . 29 . 2140.677 +INF . 30 . 2376.252 +INF . 31 . 2617.708 +INF . 32 . 2916.834 +INF . 33 . 3219.652 +INF . 34 . 3505.798 +INF . 35 . 3889.130 +INF . 36 . 4293.460 +INF . 37 . 4741.354 +INF . 38 . 5118.812 +INF . 39 . 5444.749 +INF . 40 . 5749.574 +INF . 41 . 5984.045 +INF . 42 . 6426.584 +INF . 43 . 7188.429 +INF . 44 . 9276.188 +INF . 45 . 12410.095 +INF . 46 . 8819.317 +INF . 47 . 7924.955 +INF . 48 . 7847.496 +INF . 49 . 6775.370 +INF . 50 . 9305.124 +INF . 51 . 14813.307 +INF . 52 . 16443.678 +INF . 53 . 12640.036 +INF . 54 . 10321.939 +INF . 55 . 9140.739 +INF . 56 . 7632.685 +INF . 57 . 3506.710 +INF . 58 . 10679.860 +INF -2.842E-6 59 . 9476.575 +INF . 60 . 7552.168 +INF 1.0028E-5 ---- VAR YGROSS Gross world product GROSS of abatement and damages LOWER LEVEL UPPER MARGINAL 1 . 55.667 +INF . 2 . 69.998 +INF . 3 . 85.352 +INF . 4 . 101.944 +INF . 5 . 120.019 +INF . 6 . 139.852 +INF . 7 . 161.738 +INF . 8 . 185.997 +INF . 9 . 212.967 +INF . 10 . 243.010 +INF . 11 . 276.515 +INF . 12 . 313.895 +INF . 13 . 355.618 +INF . 14 . 402.187 +INF . 15 . 454.148 +INF . 16 . 512.093 +INF . 17 . 576.670 +INF . 18 . 648.585 +INF . 19 . 728.594 +INF . 20 . 817.473 +INF . 21 . 915.923 +INF . 22 . 1024.477 +INF . 23 . 1145.647 +INF . 24 . 1280.455 +INF . 25 . 1430.171 +INF . 26 . 1596.393 +INF . 27 . 1780.732 +INF . 28 . 1985.969 +INF . 29 . 2212.633 +INF . 30 . 2453.180 +INF . 31 . 2699.430 +INF . 32 . 3004.736 +INF . 33 . 3313.392 +INF . 34 . 3604.478 +INF . 35 . 3995.020 +INF . 36 . 4406.588 +INF . 37 . 4862.297 +INF . 38 . 5245.257 +INF . 39 . 5575.031 +INF . 40 . 5882.871 +INF . 41 . 6118.493 +INF . 42 . 6566.544 +INF . 43 . 7340.207 +INF . 44 . 9466.114 +INF . 45 . 12656.536 +INF . 46 . 8991.329 +INF . 47 . 8102.123 +INF . 48 . 8026.927 +INF . 49 . 6947.249 +INF . 50 . 9579.042 +INF . 51 . 15351.523 +INF . 52 . 17232.702 +INF . 53 . 13476.892 +INF . 54 . 11086.292 +INF . 55 . 9846.398 +INF . 56 . 8218.934 +INF 1.6120E-5 57 . 3772.957 +INF . 58 . 11605.520 +INF . 59 . 10339.956 +INF 6.6267E-6 60 . 8144.332 +INF . ---- VAR YNET Output net of damages equation LOWER LEVEL UPPER MARGINAL 1 -INF 55.583 +INF . 2 -INF 69.819 +INF . 3 -INF 85.024 +INF . 4 -INF 101.399 +INF . 5 -INF 119.173 +INF . 6 -INF 138.601 +INF . 7 -INF 159.962 +INF . 8 -INF 183.552 +INF . 9 -INF 209.685 +INF . 10 -INF 238.699 +INF . 11 -INF 270.953 +INF . 12 -INF 306.871 +INF . 13 -INF 346.898 +INF . 14 -INF 391.517 +INF . 15 -INF 441.264 +INF . 16 -INF 496.730 +INF . 17 -INF 558.583 +INF . 18 -INF 627.577 +INF . 19 -INF 704.560 +INF . 20 -INF 790.456 +INF . 21 -INF 886.195 +INF . 22 -INF 992.359 +INF . 23 -INF 1111.210 +INF . 24 -INF 1243.637 +INF . 25 -INF 1390.822 +INF . 26 -INF 1554.300 +INF . 27 -INF 1735.645 +INF . 28 -INF 1937.589 +INF . 29 -INF 2160.681 +INF . 30 -INF 2397.582 +INF . 31 -INF 2640.309 +INF . 32 -INF 2941.087 +INF . 33 -INF 3245.465 +INF . 34 -INF 3532.932 +INF . 35 -INF 3918.220 +INF . 36 -INF 4324.532 +INF . 37 -INF 4774.587 +INF . 38 -INF 5153.598 +INF . 39 -INF 5480.659 +INF . 40 -INF 5786.412 +INF . 41 -INF 6021.327 +INF . 42 -INF 6465.552 +INF . 43 -INF 7230.888 +INF . 44 -INF 9329.606 +INF . 45 -INF 12479.826 +INF . 46 -INF 8856.882 +INF . 47 -INF 7967.452 +INF . 48 -INF 7880.295 +INF . 49 -INF 6801.091 +INF . 50 -INF 9336.638 +INF . 51 -INF 14866.681 +INF . 52 -INF 16470.803 +INF . 53 -INF 12697.213 +INF . 54 -INF 10366.498 +INF . 55 -INF 9181.491 +INF . 56 -INF 7667.008 +INF . 57 -INF 3506.710 +INF . 58 -INF 10725.052 +INF . 59 -INF 9484.434 +INF . 60 -INF 7579.075 +INF . ---- VAR DAMAGES Damages LOWER LEVEL UPPER MARGINAL 1 -INF 0.084 +INF . 2 -INF 0.179 +INF . 3 -INF 0.328 +INF . 4 -INF 0.545 +INF . 5 -INF 0.847 +INF . 6 -INF 1.251 +INF . 7 -INF 1.776 +INF . 8 -INF 2.445 +INF . 9 -INF 3.282 +INF . 10 -INF 4.311 +INF . 11 -INF 5.562 +INF . 12 -INF 7.024 +INF . 13 -INF 8.721 +INF . 14 -INF 10.670 +INF . 15 -INF 12.884 +INF . 16 -INF 15.363 +INF . 17 -INF 18.087 +INF . 18 -INF 21.008 +INF . 19 -INF 24.034 +INF . 20 -INF 27.017 +INF . 21 -INF 29.728 +INF . 22 -INF 32.118 +INF . 23 -INF 34.437 +INF . 24 -INF 36.818 +INF . 25 -INF 39.349 +INF . 26 -INF 42.093 +INF . 27 -INF 45.087 +INF . 28 -INF 48.380 +INF . 29 -INF 51.952 +INF . 30 -INF 55.598 +INF . 31 -INF 59.121 +INF . 32 -INF 63.649 +INF . 33 -INF 67.927 +INF . 34 -INF 71.547 +INF . 35 -INF 76.800 +INF . 36 -INF 82.056 +INF . 37 -INF 87.710 +INF . 38 -INF 91.659 +INF . 39 -INF 94.372 +INF . 40 -INF 96.458 +INF . 41 -INF 97.166 +INF . 42 -INF 100.992 +INF . 43 -INF 109.319 +INF . 44 -INF 136.508 +INF . 45 -INF 176.709 +INF . 46 -INF 134.447 +INF . 47 -INF 134.671 +INF . 48 -INF 146.631 +INF . 49 -INF 146.159 +INF . 50 -INF 242.403 +INF . 51 -INF 484.842 +INF . 52 -INF 761.899 +INF . 53 -INF 779.679 +INF . 54 -INF 719.794 +INF . 55 -INF 664.907 +INF . 56 -INF 551.926 +INF . 57 -INF 266.247 +INF . 58 -INF 880.468 +INF . 59 -INF 855.522 +INF . 60 -INF 565.257 +INF . ---- VAR ABATECOST Cost of emissions reductions LOWER LEVEL UPPER MARGINAL 1 -INF 1.3292E-5 +INF . 2 -INF 0.021 +INF . 3 -INF 0.035 +INF . 4 -INF 0.056 +INF . 5 -INF 0.086 +INF . 6 -INF 0.128 +INF . 7 -INF 0.185 +INF . 8 -INF 0.264 +INF . 9 -INF 0.369 +INF . 10 -INF 0.510 +INF . 11 -INF 0.697 +INF . 12 -INF 0.946 +INF . 13 -INF 1.275 +INF . 14 -INF 1.710 +INF . 15 -INF 2.285 +INF . 16 -INF 3.045 +INF . 17 -INF 4.050 +INF . 18 -INF 5.378 +INF . 19 -INF 7.132 +INF . 20 -INF 9.384 +INF . 21 -INF 12.260 +INF . 22 -INF 13.027 +INF . 23 -INF 13.861 +INF . 24 -INF 14.762 +INF . 25 -INF 15.736 +INF . 26 -INF 16.788 +INF . 27 -INF 17.923 +INF . 28 -INF 19.158 +INF . 29 -INF 20.484 +INF . 30 -INF 21.825 +INF . 31 -INF 23.107 +INF . 32 -INF 24.778 +INF . 33 -INF 26.354 +INF . 34 -INF 27.683 +INF . 35 -INF 29.661 +INF . 36 -INF 31.661 +INF . 37 -INF 33.844 +INF . 38 -INF 35.405 +INF . 39 -INF 36.529 +INF . 40 -INF 37.453 +INF . 41 -INF 37.883 +INF . 42 -INF 39.577 +INF . 43 -INF 43.101 +INF . 44 -INF 54.199 +INF . 45 -INF 70.718 +INF . 46 -INF 38.135 +INF . 47 -INF 43.214 +INF . 48 -INF 33.410 +INF . 49 -INF 26.274 +INF . 50 -INF 32.332 +INF . 51 -INF 55.115 +INF . 52 -INF 28.379 +INF . 53 -INF 60.687 +INF . 54 -INF 47.652 +INF . 55 -INF 43.703 +INF . 56 -INF 36.794 +INF . 57 -INF . +INF . 58 -INF 48.902 +INF . 59 -INF 8.568 +INF . 60 -INF 28.914 +INF . ---- VAR CCA Cumulative industrial carbon emissions GTC LOWER LEVEL UPPER MARGINAL 1 . . 6000.000 . 2 . 85.320 6000.000 . 3 . 168.945 6000.000 . 4 . 259.423 6000.000 . 5 . 355.781 6000.000 . 6 . 457.200 6000.000 . 7 . 562.967 6000.000 . 8 . 672.418 6000.000 . 9 . 784.893 6000.000 . 10 . 899.692 6000.000 . 11 . 1016.030 6000.000 . 12 . 1132.995 6000.000 . 13 . 1249.491 6000.000 . 14 . 1364.176 6000.000 . 15 . 1475.400 6000.000 . 16 . 1581.142 6000.000 . 17 . 1678.929 6000.000 . 18 . 1765.753 6000.000 . 19 . 1837.960 6000.000 . 20 . 1891.155 6000.000 . 21 . 1920.965 6000.000 . 22 . 1922.303 6000.000 . 23 . 1923.506 6000.000 . 24 . 1924.590 6000.000 . 25 . 1925.564 6000.000 . 26 . 1926.442 6000.000 . 27 . 1927.232 6000.000 . 28 . 1927.942 6000.000 . 29 . 1928.582 6000.000 . 30 . 1929.158 6000.000 . 31 . 1929.676 6000.000 . 32 . 1930.142 6000.000 . 33 . 1930.562 6000.000 . 34 . 1930.939 6000.000 . 35 . 1931.279 6000.000 . 36 . 1931.585 6000.000 . 37 . 1931.861 6000.000 . 38 . 1932.108 6000.000 . 39 . 1932.331 6000.000 . 40 . 1932.532 6000.000 . 41 . 1932.713 6000.000 . 42 . 1932.875 6000.000 . 43 . 1933.022 6000.000 . 44 . 1933.153 6000.000 . 45 . 1933.272 6000.000 . 46 . 1933.379 6000.000 . 47 . 2116.350 6000.000 . 48 . 2116.436 6000.000 . 49 . 2258.333 6000.000 . 50 . 2416.724 6000.000 . 51 . 2693.455 6000.000 . 52 . 3044.089 6000.000 . 53 . 4213.930 6000.000 . 54 . 4261.006 6000.000 . 55 . 4321.949 6000.000 . 56 . 4340.274 6000.000 . 57 . 4340.307 6000.000 . 58 . 5090.005 6000.000 . 59 . 5112.839 6000.000 . 60 . 6000.000 6000.000 -3.271E-7 ---- VAR PERIODU One period utility function LOWER LEVEL UPPER MARGINAL 1 -INF -150.141 +INF . 2 -INF -129.511 +INF . 3 -INF -112.073 +INF . 4 -INF -97.317 +INF . 5 -INF -84.771 +INF . 6 -INF -74.045 +INF . 7 -INF -64.829 +INF . 8 -INF -56.877 +INF . 9 -INF -49.989 +INF . 10 -INF -44.005 +INF . 11 -INF -38.791 +INF . 12 -INF -34.235 +INF . 13 -INF -30.244 +INF . 14 -INF -26.742 +INF . 15 -INF -23.664 +INF . 16 -INF -20.954 +INF . 17 -INF -18.563 +INF . 18 -INF -16.450 +INF . 19 -INF -14.578 +INF . 20 -INF -12.914 +INF . 21 -INF -11.431 +INF . 22 -INF -10.098 +INF . 23 -INF -8.910 +INF . 24 -INF -7.856 +INF . 25 -INF -6.923 +INF . 26 -INF -6.096 +INF . 27 -INF -5.366 +INF . 28 -INF -4.710 +INF . 29 -INF -4.102 +INF . 30 -INF -3.556 +INF . 31 -INF -3.184 +INF . 32 -INF -2.726 +INF . 33 -INF -2.317 +INF . 34 -INF -2.093 +INF . 35 -INF -1.782 +INF . 36 -INF -1.525 +INF . 37 -INF -1.229 +INF . 38 -INF -1.014 +INF . 39 -INF -0.855 +INF . 40 -INF -0.711 +INF . 41 -INF -0.654 +INF . 42 -INF -0.580 +INF . 43 -INF -0.713 +INF . 44 -INF -0.907 +INF . 45 -INF 0.334 +INF . 46 -INF -0.014 +INF . 47 -INF -0.140 +INF . 48 -INF -0.111 +INF . 49 -INF -0.418 +INF . 50 -INF -0.365 +INF . 51 -INF 0.281 +INF . 52 -INF 0.475 +INF . 53 -INF 0.313 +INF . 54 -INF 0.156 +INF . 55 -INF 0.055 +INF . 56 -INF -0.120 +INF . 57 -INF -1.724 +INF . 58 -INF 0.189 +INF . 59 -INF 0.092 +INF . 60 -INF -0.135 +INF . LOWER LEVEL UPPER MARGINAL ---- VAR UTILITY -INF 1.5024E+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 00:05:43 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 316 MODEL STATISTICS BLOCKS OF EQUATIONS 30 SINGLE EQUATIONS 1,263 BLOCKS OF VARIABLES 24 SINGLE VARIABLES 1,381 NON ZERO ELEMENTS 3,767 NON LINEAR N-Z 1,080 DERIVATIVE POOL 6 CONSTANT POOL 327 CODE LENGTH 5,643 GENERATION TIME = 0.007 SECONDS 3 Mb LEX237-237 Jul 7, 2011 EXECUTION TIME = 0.017 SECONDS 3 Mb LEX237-237 Jul 7, 2011 GAMS Rev 237 LEX-LEG 23.7.1 x86_64/Linux 09/14/11 00:05:43 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 316 S O L V E S U M M A R Y MODEL CO2 OBJECTIVE UTILITY TYPE NLP DIRECTION MAXIMIZE SOLVER MINOS FROM LINE 316 **** SOLVER STATUS 1 Normal Completion **** MODEL STATUS 2 Locally Optimal **** OBJECTIVE VALUE 150236.2088 RESOURCE USAGE, LIMIT 0.007 99999.000 ITERATION COUNT, LIMIT 0 99900 EVALUATION ERRORS 0 0 GAMS/MINOS Jul 14, 2011 23.7.1 LEX 26779.26792 LEG x86_64/Linux M I N O S 5.51 (Jun 2004) GAMS/MINOS 5.51, Large Scale Nonlinear Solver B. A. Murtagh, University of New South Wales P. E. Gill, University of California at San Diego, W. Murray, M. A. Saunders, and M. H. Wright, Systems Optimization Laboratory, Stanford University Work space allocated -- 4.03 Mb EXIT - Optimal Solution found, objective: 150236.2 ---- EQU CCTFIRST First period cumulative carbon LOWER LEVEL UPPER MARGINAL 1 . . . 2.7499E-8 ---- EQU CCACCA Cumulative carbon emissions LOWER LEVEL UPPER MARGINAL 2 . . . 2.7499E-8 3 . . . 2.7499E-8 4 . . . 2.7499E-8 5 . . . 2.7499E-8 6 . . . 2.7499E-8 7 . . . 2.7499E-8 8 . . . 2.7499E-8 9 . . . 2.7499E-8 10 . . . 2.7499E-8 11 . . . 2.7499E-8 12 . . . 2.7499E-8 13 . . . 2.7499E-8 14 . . . 2.7499E-8 15 . . . 2.7499E-8 16 . . . 2.7499E-8 17 . . . 2.7499E-8 18 . . . 2.7499E-8 19 . . . 2.7499E-8 20 . . . 2.7499E-8 21 . . . 2.7499E-8 22 . . . 2.7499E-8 23 . . . 2.7499E-8 24 . . . 2.7499E-8 25 . . . 2.7499E-8 26 . . . 2.7499E-8 27 . . . 2.7499E-8 28 . . . 2.7499E-8 29 . . . 2.7499E-8 30 . . . 2.7499E-8 31 . . . 2.7499E-8 32 . . . 2.7499E-8 33 . . . 2.7499E-8 34 . . . 2.7499E-8 35 . . . 2.7499E-8 36 . . . 2.7499E-8 37 . . . 2.7499E-8 38 . . . 2.7499E-8 39 . . . 2.7499E-8 40 . . . 2.7499E-8 41 . . . 2.7499E-8 42 . . . 2.7499E-8 43 . . . 2.7499E-8 44 . . . 2.7499E-8 45 . . . 2.7499E-8 46 . . . 2.7499E-8 47 . . . 2.7499E-8 48 . . . 2.7499E-8 49 . . . 2.7499E-8 50 . . . 2.7499E-8 51 . . . 2.7499E-8 52 . . . 2.7499E-8 53 . . . 2.7499E-8 54 . . . 2.7499E-8 55 . . . 2.7499E-8 56 . . . 2.7499E-8 57 . . . 2.7499E-8 58 . . . 2.7499E-8 59 . . . 2.7499E-8 60 . . . 2.7499E-8 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 . . . 1177.503 2 . . . 756.535 3 . . . 489.319 4 . . . 318.768 5 . . . 209.043 6 . . . 137.892 7 . . . 91.427 8 . . . 60.896 9 . . . 40.726 10 . . . 27.339 11 . . . 18.415 12 . . . 12.442 13 . . . 8.430 14 . . . 5.727 15 . . . 3.900 16 . . . 2.663 17 . . . 1.822 18 . . . 1.249 19 . . . 0.858 20 . . . 0.590 21 . . . 0.406 22 . . . 0.279 23 . . . 0.191 24 . . . 0.132 25 . . . 0.091 26 . . . 0.063 27 . . . 0.044 28 . . . 0.030 29 . . . 0.021 30 . . . 0.014 31 . . . 0.010 32 . . . 0.007 33 . . . 0.005 34 . . . 0.004 35 . . . 0.003 36 . . . 0.002 37 . . . 0.001 38 . . . 8.4697E-4 39 . . . 6.1885E-4 40 . . . 4.5383E-4 41 . . . 3.6567E-4 42 . . . 2.8751E-4 43 . . . 2.9102E-4 44 . . . 3.1091E-4 45 . . . 3.2683E-5 46 . . . 6.5282E-5 47 . . . 7.1085E-5 48 . . . 5.8175E-5 49 . . . 5.0621E-6 50 . . . 6.5174E-5 51 . . . 1.5577E-5 52 . . . 7.1596E-6 53 . . . 1.0563E-5 54 . . . 1.3738E-5 55 . . . 1.4831E-5 56 . . . 6.0143E-7 57 . . . 9.1572E-5 58 . . . 9.8370E-6 59 . . . 3.0947E-7 60 . . . 1.3491E-7 ---- EQU YNETEQ Output net of damages equation LOWER LEVEL UPPER MARGINAL 1 . . . EPS 2 . . . EPS 3 . . . EPS 4 . . . EPS 5 . . . EPS 6 . . . EPS 7 . . . EPS 8 . . . EPS 9 . . . EPS 10 . . . EPS 11 . . . EPS 12 . . . EPS 13 . . . EPS 14 . . . EPS 15 . . . EPS 16 . . . EPS 17 . . . EPS 18 . . . EPS 19 . . . EPS 20 . . . EPS 21 . . . EPS 22 . . . EPS 23 . . . EPS 24 . . . EPS 25 . . . EPS 26 . . . EPS 27 . . . EPS 28 . . . EPS 29 . . . EPS 30 . . . EPS 31 . . . EPS 32 . . . EPS 33 . . . EPS 34 . . . EPS 35 . . . EPS 36 . . . EPS 37 . . . EPS 38 . . . EPS 39 . . . EPS 40 . . . EPS 41 . . . EPS 42 . . . EPS 43 . . . EPS 44 . . . EPS 45 . . . EPS 46 . . . EPS 47 . . . EPS 48 . . . EPS 49 . . . EPS 50 . . . EPS 51 . . . EPS 52 . . . EPS 53 . . . EPS 54 . . . EPS 55 . . . EPS 56 . . . EPS 57 . . . EPS 58 . . . EPS 59 . . . EPS 60 . . . EPS ---- EQU YGROSSEQ Output gross equation LOWER LEVEL UPPER MARGINAL 1 . . . 1175.720 2 . . . 754.374 3 . . . 487.238 4 . . . 316.888 5 . . . 207.419 6 . . . 136.534 7 . . . 90.319 8 . . . 60.010 9 . . . 40.029 10 . . . 26.797 11 . . . 17.999 12 . . . 12.127 13 . . . 8.194 14 . . . 5.551 15 . . . 3.770 16 . . . 2.567 17 . . . 1.752 18 . . . 1.198 19 . . . 0.821 20 . . . 0.564 21 . . . 0.387 22 . . . 0.266 23 . . . 0.183 24 . . . 0.126 25 . . . 0.087 26 . . . 0.060 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 . . . 0.002 36 . . . 0.002 37 . . . 0.001 38 . . . 8.2655E-4 39 . . . 6.0439E-4 40 . . . 4.4355E-4 41 . . . 3.5763E-4 42 . . . 2.8138E-4 43 . . . 2.8500E-4 44 . . . 3.0468E-4 45 . . . 3.2047E-5 46 . . . 6.4033E-5 47 . . . 6.9530E-5 48 . . . 5.6874E-5 49 . . . 4.9368E-6 50 . . . 6.3311E-5 51 . . . 1.5031E-5 52 . . . 6.8318E-6 53 . . . 9.9071E-6 54 . . . 1.2791E-5 55 . . . 1.3768E-5 56 . . . 5.5853E-7 57 . . . 8.5110E-5 58 . . . 9.0524E-6 59 . . . 2.8363E-7 60 . . . 1.2510E-7 ---- EQU DAMEQ Damage equation LOWER LEVEL UPPER MARGINAL 1 . . . EPS 2 . . . EPS 3 . . . EPS 4 . . . EPS 5 . . . EPS 6 . . . EPS 7 . . . EPS 8 . . . EPS 9 . . . EPS 10 . . . EPS 11 . . . EPS 12 . . . EPS 13 . . . EPS 14 . . . EPS 15 . . . EPS 16 . . . EPS 17 . . . EPS 18 . . . EPS 19 . . . EPS 20 . . . EPS 21 . . . EPS 22 . . . EPS 23 . . . EPS 24 . . . EPS 25 . . . EPS 26 . . . EPS 27 . . . EPS 28 . . . EPS 29 . . . EPS 30 . . . EPS 31 . . . EPS 32 . . . EPS 33 . . . EPS 34 . . . EPS 35 . . . EPS 36 . . . EPS 37 . . . EPS 38 . . . EPS 39 . . . EPS 40 . . . EPS 41 . . . EPS 42 . . . EPS 43 . . . EPS 44 . . . EPS 45 . . . EPS 46 . . . EPS 47 . . . EPS 48 . . . EPS 49 . . . EPS 50 . . . EPS 51 . . . EPS 52 . . . EPS 53 . . . EPS 54 . . . EPS 55 . . . EPS 56 . . . EPS 57 . . . EPS 58 . . . EPS 59 . . . EPS 60 . . . EPS ---- EQU ABATEEQ Cost of emissions reductions equation LOWER LEVEL UPPER MARGINAL 1 . . . EPS 2 . . . EPS 3 . . . EPS 4 . . . EPS 5 . . . EPS 6 . . . EPS 7 . . . EPS 8 . . . EPS 9 . . . EPS 10 . . . EPS 11 . . . EPS 12 . . . EPS 13 . . . EPS 14 . . . EPS 15 . . . EPS 16 . . . EPS 17 . . . EPS 18 . . . EPS 19 . . . EPS 20 . . . EPS 21 . . . EPS 22 . . . EPS 23 . . . EPS 24 . . . EPS 25 . . . EPS 26 . . . EPS 27 . . . EPS 28 . . . EPS 29 . . . EPS 30 . . . EPS 31 . . . EPS 32 . . . EPS 33 . . . EPS 34 . . . EPS 35 . . . EPS 36 . . . EPS 37 . . . EPS 38 . . . 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 . . . 1177.503 2 . . . 756.535 3 . . . 489.319 4 . . . 318.768 5 . . . 209.043 6 . . . 137.892 7 . . . 91.427 8 . . . 60.896 9 . . . 40.726 10 . . . 27.339 11 . . . 18.415 12 . . . 12.442 13 . . . 8.430 14 . . . 5.727 15 . . . 3.900 16 . . . 2.663 17 . . . 1.822 18 . . . 1.249 19 . . . 0.858 20 . . . 0.590 21 . . . 0.406 22 . . . 0.279 23 . . . 0.191 24 . . . 0.132 25 . . . 0.091 26 . . . 0.063 27 . . . 0.044 28 . . . 0.030 29 . . . 0.021 30 . . . 0.014 31 . . . 0.010 32 . . . 0.007 33 . . . 0.005 34 . . . 0.004 35 . . . 0.003 36 . . . 0.002 37 . . . 0.001 38 . . . 8.4697E-4 39 . . . 6.1885E-4 40 . . . 4.5383E-4 41 . . . 3.6567E-4 42 . . . 2.8751E-4 43 . . . 2.9102E-4 44 . . . 3.1091E-4 45 . . . 3.2683E-5 46 . . . 6.5282E-5 47 . . . 7.1085E-5 48 . . . 5.8175E-5 49 . . . 8.1594E-5 50 . . . 6.5174E-5 51 . . . 1.5577E-5 52 . . . 7.1596E-6 53 . . . 1.0563E-5 54 . . . 1.3738E-5 55 . . . 1.4831E-5 56 . . . 1.7959E-5 57 . . . 9.1572E-5 58 . . . 6.9951E-6 59 . . . 7.5533E-6 60 . . . 1.0163E-5 ---- EQU KK Capital balance equation LOWER LEVEL UPPER MARGINAL 1 -INF . . 117.750 2 -INF . . 75.654 3 -INF . . 48.932 4 -INF . . 31.877 5 -INF . . 20.904 6 -INF . . 13.789 7 -INF . . 9.143 8 -INF . . 6.090 9 -INF . . 4.073 10 -INF . . 2.734 11 -INF . . 1.841 12 -INF . . 1.244 13 -INF . . 0.843 14 -INF . . 0.573 15 -INF . . 0.390 16 -INF . . 0.266 17 -INF . . 0.182 18 -INF . . 0.125 19 -INF . . 0.086 20 -INF . . 0.059 21 -INF . . 0.041 22 -INF . . 0.028 23 -INF . . 0.019 24 -INF . . 0.013 25 -INF . . 0.009 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 . . 7.0847E-4 33 -INF . . 4.8382E-4 34 -INF . . 3.6242E-4 35 -INF . . 2.5259E-4 36 -INF . . 1.7926E-4 37 -INF . . 1.2044E-4 38 -INF . . 8.4697E-5 39 -INF . . 6.1885E-5 40 -INF . . 4.5383E-5 41 -INF . . 3.6567E-5 42 -INF . . 2.8751E-5 43 -INF . . 2.9102E-5 44 -INF . . 3.1091E-5 45 -INF . . 3.2683E-6 46 -INF . . 6.5282E-6 47 -INF . . 7.1085E-6 48 -INF . . 5.8175E-6 49 -INF . . 8.1594E-6 50 -INF . . 6.5174E-6 51 -INF . . 1.5577E-6 52 -INF . . 7.1596E-7 53 -INF . . 1.0563E-6 54 -INF . . 1.3738E-6 55 -INF . . 1.4831E-6 56 -INF . . 1.7959E-6 57 -INF . . 9.1572E-6 58 -INF . . 6.9951E-7 59 -INF . . 7.5533E-7 60 -INF . . 1.0163E-6 ---- EQU KK0 Initial condition for capital LOWER LEVEL UPPER MARGINAL 1 137.000 137.000 137.000 183.853 ---- EQU InvestCond investment condition LOWER LEVEL UPPER MARGINAL 60 . . +INF . ---- 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 -3.212 2 9.900 9.900 9.900 -3.162 3 8.910 8.910 8.910 -2.602 4 8.019 8.019 8.019 -2.108 5 7.217 7.217 7.217 -1.688 6 6.495 6.495 6.495 -1.339 7 5.846 5.846 5.846 -1.056 8 5.261 5.261 5.261 -0.828 9 4.735 4.735 4.735 -0.647 10 4.262 4.262 4.262 -0.504 11 3.835 3.835 3.835 -0.392 12 3.452 3.452 3.452 -0.304 13 3.107 3.107 3.107 -0.236 14 2.796 2.796 2.796 -0.183 15 2.516 2.516 2.516 -0.142 16 2.265 2.265 2.265 -0.110 17 2.038 2.038 2.038 -0.086 18 1.834 1.834 1.834 -0.067 19 1.651 1.651 1.651 -0.052 20 1.486 1.486 1.486 -0.041 21 1.337 1.337 1.337 -0.032 22 1.204 1.204 1.204 -0.025 23 1.083 1.083 1.083 -0.019 24 0.975 0.975 0.975 -0.015 25 0.877 0.877 0.877 -0.011 26 0.790 0.790 0.790 -0.009 27 0.711 0.711 0.711 -0.007 28 0.640 0.640 0.640 -0.005 29 0.576 0.576 0.576 -0.004 30 0.518 0.518 0.518 -0.003 31 0.466 0.466 0.466 -0.002 32 0.420 0.420 0.420 -0.002 33 0.378 0.378 0.378 -0.002 34 0.340 0.340 0.340 -0.001 35 0.306 0.306 0.306 -9.096E-4 36 0.275 0.275 0.275 -7.103E-4 37 0.248 0.248 0.248 -5.602E-4 38 0.223 0.223 0.223 -4.481E-4 39 0.201 0.201 0.201 -3.620E-4 40 0.181 0.181 0.181 -2.933E-4 41 0.163 0.163 0.163 -2.346E-4 42 0.146 0.146 0.146 -1.794E-4 43 0.132 0.132 0.132 -1.224E-4 44 0.119 0.119 0.119 -6.436E-5 45 0.107 0.107 0.107 -2.594E-5 46 0.096 0.096 0.096 -3.536E-6 47 0.086 0.086 0.086 -1.947E-5 48 0.078 0.078 0.078 -3.165E-6 49 0.070 0.070 0.070 -2.607E-7 50 0.063 0.063 0.063 -3.135E-6 51 0.057 0.057 0.057 -7.816E-7 52 0.051 0.051 0.051 -2.167E-7 53 0.046 0.046 0.046 -6.069E-7 54 0.041 0.041 0.041 -7.666E-7 55 0.037 0.037 0.037 -8.493E-7 56 0.033 0.033 0.033 -2.424E-8 57 0.030 0.030 0.030 9.2027E-7 58 0.027 0.027 0.027 -5.525E-7 59 0.024 0.024 0.024 -6.108E-9 60 0.022 0.022 0.022 -6.932E-9 ---- EQU SEQ Savings rate 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 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 -161.114 3 0.012 0.012 0.012 -147.315 4 0.048 0.048 0.048 -130.188 5 0.084 0.084 0.084 -112.265 6 0.120 0.120 0.120 -95.048 7 0.156 0.156 0.156 -79.343 8 0.192 0.192 0.192 -65.496 9 0.228 0.228 0.228 -53.575 10 0.264 0.264 0.264 -43.485 11 0.300 0.300 0.300 -35.048 12 0.300 0.300 0.300 -28.048 13 0.300 0.300 0.300 -22.319 14 0.300 0.300 0.300 -17.671 15 0.300 0.300 0.300 -13.925 16 0.300 0.300 0.300 -10.921 17 0.300 0.300 0.300 -8.521 18 0.300 0.300 0.300 -6.610 19 0.300 0.300 0.300 -5.093 20 0.300 0.300 0.300 -3.896 21 0.300 0.300 0.300 -2.958 22 0.300 0.300 0.300 -2.236 23 0.300 0.300 0.300 -1.688 24 0.300 0.300 0.300 -1.275 25 0.300 0.300 0.300 -0.965 26 0.300 0.300 0.300 -0.732 27 0.300 0.300 0.300 -0.555 28 0.300 0.300 0.300 -0.421 29 0.300 0.300 0.300 -0.319 30 0.300 0.300 0.300 -0.243 31 0.300 0.300 0.300 -0.187 32 0.300 0.300 0.300 -0.141 33 0.300 0.300 0.300 -0.108 34 0.300 0.300 0.300 -0.084 35 0.300 0.300 0.300 -0.064 36 0.300 0.300 0.300 -0.049 37 0.300 0.300 0.300 -0.037 38 0.300 0.300 0.300 -0.028 39 0.300 0.300 0.300 -0.022 40 0.300 0.300 0.300 -0.018 41 0.300 0.300 0.300 -0.016 42 0.300 0.300 0.300 -0.014 43 0.300 0.300 0.300 -0.013 44 0.300 0.300 0.300 -0.011 45 0.300 0.300 0.300 -0.004 46 0.300 0.300 0.300 -0.004 47 0.300 0.300 0.300 -0.004 48 0.300 0.300 0.300 -0.003 49 0.300 0.300 0.300 -0.003 50 0.300 0.300 0.300 -0.004 51 0.300 0.300 0.300 -0.002 52 0.300 0.300 0.300 -0.002 53 0.300 0.300 0.300 -0.002 54 0.300 0.300 0.300 -0.002 55 0.300 0.300 0.300 -0.002 56 0.300 0.300 0.300 -0.002 57 0.300 0.300 0.300 -0.002 58 0.300 0.300 0.300 -6.672E-4 59 0.300 0.300 0.300 -2.292E-5 60 0.300 0.300 0.300 -6.070E-6 ---- EQU MMAT0 Starting atmospheric concentration LOWER LEVEL UPPER MARGINAL 1 808.900 808.900 808.900 -2.790 ---- EQU MMAT Atmospheric concentration equation LOWER LEVEL UPPER MARGINAL 2 . . . -3.212 3 . . . -3.162 4 . . . -2.602 5 . . . -2.108 6 . . . -1.688 7 . . . -1.339 8 . . . -1.056 9 . . . -0.828 10 . . . -0.647 11 . . . -0.504 12 . . . -0.392 13 . . . -0.304 14 . . . -0.236 15 . . . -0.183 16 . . . -0.142 17 . . . -0.110 18 . . . -0.086 19 . . . -0.067 20 . . . -0.052 21 . . . -0.041 22 . . . -0.032 23 . . . -0.025 24 . . . -0.019 25 . . . -0.015 26 . . . -0.011 27 . . . -0.009 28 . . . -0.007 29 . . . -0.005 30 . . . -0.004 31 . . . -0.003 32 . . . -0.002 33 . . . -0.002 34 . . . -0.002 35 . . . -0.001 36 . . . -9.096E-4 37 . . . -7.103E-4 38 . . . -5.602E-4 39 . . . -4.481E-4 40 . . . -3.620E-4 41 . . . -2.934E-4 42 . . . -2.346E-4 43 . . . -1.795E-4 44 . . . -1.224E-4 45 . . . -6.439E-5 46 . . . -2.597E-5 47 . . . -3.564E-6 48 . . . -1.950E-5 49 . . . -3.193E-6 50 . . . -2.882E-7 51 . . . -3.162E-6 52 . . . -8.091E-7 53 . . . -2.442E-7 54 . . . -6.344E-7 55 . . . -7.941E-7 56 . . . -8.768E-7 57 . . . -5.174E-8 58 . . . 8.9277E-7 59 . . . -5.800E-7 60 . . . -3.361E-8 ---- EQU MMATAVEQ Average concentrations equation LOWER LEVEL UPPER MARGINAL 1 . . . EPS 2 . . . -0.997 3 . . . -0.867 4 . . . -0.730 5 . . . -0.601 6 . . . -0.486 7 . . . -0.389 8 . . . -0.309 9 . . . -0.243 10 . . . -0.191 11 . . . -0.149 12 . . . -0.116 13 . . . -0.090 14 . . . -0.070 15 . . . -0.054 16 . . . -0.042 17 . . . -0.032 18 . . . -0.025 19 . . . -0.020 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 . . . -9.461E-4 32 . . . -7.252E-4 33 . . . -5.602E-4 34 . . . -4.437E-4 35 . . . -3.423E-4 36 . . . -2.639E-4 37 . . . -2.007E-4 38 . . . -1.565E-4 39 . . . -1.255E-4 40 . . . -1.036E-4 41 . . . -9.020E-5 42 . . . -8.110E-5 43 . . . -7.641E-5 44 . . . -6.342E-5 45 . . . -2.361E-5 46 . . . -2.311E-5 47 . . . -1.975E-5 48 . . . -1.595E-5 49 . . . -1.188E-5 50 . . . -1.508E-5 51 . . . -7.802E-6 52 . . . -4.831E-6 53 . . . -4.405E-6 54 . . . -4.727E-6 55 . . . -4.616E-6 56 . . . -4.269E-6 57 . . . -5.701E-6 58 . . . -1.468E-6 59 . . . -4.576E-8 60 . . . -2.145E-8 ---- EQU MMU0 Initial shallow ocean concentration LOWER LEVEL UPPER MARGINAL 1 1255.000 1255.000 1255.000 -1.151 ---- EQU MMU Shallow ocean concentration LOWER LEVEL UPPER MARGINAL 2 . . . -0.983 3 . . . -0.791 4 . . . -0.631 5 . . . -0.499 6 . . . -0.393 7 . . . -0.307 8 . . . -0.240 9 . . . -0.187 10 . . . -0.145 11 . . . -0.113 12 . . . -0.087 13 . . . -0.068 14 . . . -0.053 15 . . . -0.041 16 . . . -0.032 17 . . . -0.025 18 . . . -0.019 19 . . . -0.015 20 . . . -0.012 21 . . . -0.009 22 . . . -0.007 23 . . . -0.005 24 . . . -0.004 25 . . . -0.003 26 . . . -0.003 27 . . . -0.002 28 . . . -0.002 29 . . . -0.001 30 . . . -9.226E-4 31 . . . -7.177E-4 32 . . . -5.588E-4 33 . . . -4.358E-4 34 . . . -3.399E-4 35 . . . -2.651E-4 36 . . . -2.071E-4 37 . . . -1.619E-4 38 . . . -1.259E-4 39 . . . -9.660E-5 40 . . . -7.202E-5 41 . . . -5.103E-5 42 . . . -3.312E-5 43 . . . -1.841E-5 44 . . . -7.660E-6 45 . . . -1.674E-6 46 . . . 9.6445E-7 47 . . . 1.5051E-6 48 . . . 3.9558E-6 49 . . . 4.9719E-6 50 . . . 5.8333E-6 51 . . . 7.1723E-6 52 . . . 8.4756E-6 53 . . . 9.9413E-6 54 . . . 1.1707E-5 55 . . . 1.3797E-5 56 . . . 1.6261E-5 57 . . . 1.9060E-5 58 . . . 2.2238E-5 59 . . . 2.6137E-5 60 . . . 3.0653E-5 ---- 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 . . . -9.405E-4 13 . . . -7.309E-4 14 . . . -5.682E-4 15 . . . -4.417E-4 16 . . . -3.433E-4 17 . . . -2.667E-4 18 . . . -2.070E-4 19 . . . -1.605E-4 20 . . . -1.243E-4 21 . . . -9.619E-5 22 . . . -7.436E-5 23 . . . -5.744E-5 24 . . . -4.434E-5 25 . . . -3.420E-5 26 . . . -2.635E-5 27 . . . -2.026E-5 28 . . . -1.554E-5 29 . . . -1.188E-5 30 . . . -9.031E-6 31 . . . -6.814E-6 32 . . . -5.087E-6 33 . . . -3.740E-6 34 . . . -2.688E-6 35 . . . -1.867E-6 36 . . . -1.225E-6 37 . . . -7.225E-7 38 . . . -3.307E-7 39 . . . -2.956E-8 40 . . . 1.9564E-7 41 . . . 3.5589E-7 42 . . . 4.6060E-7 43 . . . 5.1963E-7 44 . . . 5.4522E-7 45 . . . 5.5216E-7 46 . . . 5.5087E-7 47 . . . 5.4788E-7 48 . . . 5.3722E-7 49 . . . 5.2335E-7 50 . . . 5.0674E-7 51 . . . 4.8589E-7 52 . . . 4.6089E-7 53 . . . 4.3123E-7 54 . . . 3.9596E-7 55 . . . 3.5404E-7 56 . . . 3.0428E-7 57 . . . 2.4560E-7 58 . . . 1.7680E-7 59 . . . 9.5593E-8 60 . . . EPS ---- EQU TATMEQ Temperature-climate equation for atmosphere LOWER LEVEL UPPER MARGINAL 2 . . . -732.336 3 . . . -669.615 4 . . . -591.765 5 . . . -510.294 6 . . . -432.038 7 . . . -360.650 8 . . . -297.710 9 . . . -243.523 10 . . . -197.659 11 . . . -159.307 12 . . . -127.493 13 . . . -101.449 14 . . . -80.323 15 . . . -63.296 16 . . . -49.641 17 . . . -38.732 18 . . . -30.045 19 . . . -23.152 20 . . . -17.709 21 . . . -13.447 22 . . . -10.164 23 . . . -7.673 24 . . . -5.797 25 . . . -4.387 26 . . . -3.326 27 . . . -2.525 28 . . . -1.916 29 . . . -1.451 30 . . . -1.103 31 . . . -0.851 32 . . . -0.643 33 . . . -0.490 34 . . . -0.383 35 . . . -0.292 36 . . . -0.222 37 . . . -0.167 38 . . . -0.129 39 . . . -0.102 40 . . . -0.083 41 . . . -0.072 42 . . . -0.064 43 . . . -0.059 44 . . . -0.049 45 . . . -0.018 46 . . . -0.019 47 . . . -0.017 48 . . . -0.015 49 . . . -0.012 50 . . . -0.017 51 . . . -0.010 52 . . . -0.009 53 . . . -0.009 54 . . . -0.009 55 . . . -0.008 56 . . . -0.007 57 . . . -0.011 58 . . . -0.003 59 . . . -1.042E-4 60 . . . -2.759E-5 ---- EQU TATM0EQ Initial condition for atmospheric temperature LOWER LEVEL UPPER MARGINAL 1 0.731 0.731 0.731 -762.010 ---- EQU TOCEANEQ Temperature-climate equation for lower oceans LOWER LEVEL UPPER MARGINAL 2 . . . -219.482 3 . . . -184.514 4 . . . -153.113 5 . . . -125.719 6 . . . -102.321 7 . . . -82.650 8 . . . -66.317 9 . . . -52.889 10 . . . -41.941 11 . . . -33.081 12 . . . -25.964 13 . . . -20.283 14 . . . -15.770 15 . . . -12.203 16 . . . -9.396 17 . . . -7.200 18 . . . -5.491 19 . . . -4.172 20 . . . -3.161 21 . . . -2.393 22 . . . -1.813 23 . . . -1.376 24 . . . -1.045 25 . . . -0.795 26 . . . -0.606 27 . . . -0.463 28 . . . -0.354 29 . . . -0.272 30 . . . -0.209 31 . . . -0.161 32 . . . -0.125 33 . . . -0.098 34 . . . -0.076 35 . . . -0.060 36 . . . -0.048 37 . . . -0.039 38 . . . -0.032 39 . . . -0.026 40 . . . -0.022 41 . . . -0.018 42 . . . -0.015 43 . . . -0.011 44 . . . -0.009 45 . . . -0.008 46 . . . -0.007 47 . . . -0.006 48 . . . -0.005 49 . . . -0.005 50 . . . -0.004 51 . . . -0.003 52 . . . -0.003 53 . . . -0.002 54 . . . -0.002 55 . . . -0.001 56 . . . -9.075E-4 57 . . . -2.083E-4 58 . . . -8.606E-6 59 . . . -1.821E-6 60 . . . EPS ---- EQU TOCEAN0EQ Initial condition for lower ocean temperature LOWER LEVEL UPPER MARGINAL 1 0.007 0.007 0.007 -256.843 ---- 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 0.005 231.139 2 . 0.159 1.000 . 3 . 0.185 1.000 . 4 . 0.212 1.000 . 5 . 0.240 1.000 . 6 . 0.269 1.000 . 7 . 0.300 1.000 . 8 . 0.333 1.000 . 9 . 0.368 1.000 . 10 . 0.404 1.000 . 11 . 0.443 1.000 . 12 . 0.484 1.000 . 13 . 0.528 1.000 . 14 . 0.574 1.000 . 15 . 0.624 1.000 . 16 . 0.677 1.000 . 17 . 0.734 1.000 . 18 . 0.795 1.000 . 19 . 0.861 1.000 . 20 . 0.929 1.000 . 21 . 1.000 1.000 0.137 22 . 1.000 1.000 1.555 23 . 1.000 1.000 2.321 24 . 1.000 1.000 2.666 25 . 1.000 1.000 2.747 26 . 1.000 1.000 2.668 27 . 1.000 1.000 2.496 28 . 1.000 1.000 2.284 29 . 1.000 1.000 2.070 30 . 1.000 1.000 1.849 31 . 1.000 1.000 1.584 32 . 1.000 1.000 1.400 33 . 1.000 1.000 1.225 34 . 1.000 1.000 1.025 35 . 1.000 1.000 0.886 36 . 1.000 1.000 0.761 37 . 1.000 1.000 0.667 38 . 1.000 1.000 0.574 39 . 1.000 1.000 0.488 40 . 1.000 1.000 0.414 41 . 1.000 1.000 0.337 42 . 1.000 1.000 0.270 43 . 1.000 1.000 0.190 44 . 1.000 1.000 0.103 45 . 1.000 1.000 0.073 46 . 0.914 1.000 . 47 . 1.000 1.000 0.028 48 . 0.922 1.000 . 49 . 0.898 1.000 . 50 . 0.869 1.000 . 51 . 0.895 1.000 . 52 . 0.682 1.000 . 53 . 0.983 1.000 . 54 . 0.973 1.000 . 55 . 0.991 1.000 . 56 . 1.000 1.000 -1.767E-5 57 . . 1.000 -6.899E-4 58 . 0.990 1.000 . 59 . 0.557 1.000 . 60 . 0.941 1.000 . ---- VAR FORC Radiative forcing in watts per m2 LOWER LEVEL UPPER MARGINAL 1 -INF 1.791 +INF . 2 -INF 2.143 +INF . 3 -INF 2.453 +INF . 4 -INF 2.757 +INF . 5 -INF 3.050 +INF . 6 -INF 3.330 +INF . 7 -INF 3.597 +INF . 8 -INF 3.851 +INF . 9 -INF 4.091 +INF . 10 -INF 4.316 +INF . 11 -INF 4.527 +INF . 12 -INF 4.686 +INF . 13 -INF 4.827 +INF . 14 -INF 4.948 +INF . 15 -INF 5.046 +INF . 16 -INF 5.116 +INF . 17 -INF 5.154 +INF . 18 -INF 5.152 +INF . 19 -INF 5.100 +INF . 20 -INF 4.989 +INF . 21 -INF 4.802 +INF . 22 -INF 4.594 +INF . 23 -INF 4.420 +INF . 24 -INF 4.273 +INF . 25 -INF 4.145 +INF . 26 -INF 4.031 +INF . 27 -INF 3.928 +INF . 28 -INF 3.833 +INF . 29 -INF 3.744 +INF . 30 -INF 3.660 +INF . 31 -INF 3.579 +INF . 32 -INF 3.502 +INF . 33 -INF 3.428 +INF . 34 -INF 3.355 +INF . 35 -INF 3.285 +INF . 36 -INF 3.217 +INF . 37 -INF 3.150 +INF . 38 -INF 3.085 +INF . 39 -INF 3.021 +INF . 40 -INF 2.959 +INF . 41 -INF 2.899 +INF . 42 -INF 2.840 +INF . 43 -INF 2.782 +INF . 44 -INF 2.726 +INF . 45 -INF 2.671 +INF . 46 -INF 3.142 +INF . 47 -INF 3.489 +INF . 48 -INF 3.656 +INF . 49 -INF 4.166 +INF . 50 -INF 4.834 +INF . 51 -INF 5.676 +INF . 52 -INF 7.521 +INF . 53 -INF 8.371 +INF . 54 -INF 7.857 +INF . 55 -INF 7.426 +INF . 56 -INF 7.010 +INF . 57 -INF 7.639 +INF . 58 -INF 8.138 +INF . 59 -INF 8.671 +INF . 60 -INF 5.540 +INF . ---- VAR TATM Temperature of atmosphere in degrees C LOWER LEVEL UPPER MARGINAL 1 . 0.731 20.000 . 2 . 0.951 20.000 . 3 . 1.166 20.000 . 4 . 1.376 20.000 . 5 . 1.582 20.000 . 6 . 1.783 20.000 . 7 . 1.978 20.000 . 8 . 2.166 20.000 . 9 . 2.348 20.000 . 10 . 2.522 20.000 . 11 . 2.689 20.000 . 12 . 2.840 20.000 . 13 . 2.976 20.000 . 14 . 3.098 20.000 . 15 . 3.207 20.000 . 16 . 3.301 20.000 . 17 . 3.377 20.000 . 18 . 3.434 20.000 . 19 . 3.466 20.000 . 20 . 3.470 20.000 . 21 . 3.438 20.000 . 22 . 3.377 20.000 . 23 . 3.304 20.000 . 24 . 3.229 20.000 . 25 . 3.157 20.000 . 26 . 3.089 20.000 . 27 . 3.025 20.000 . 28 . 2.966 20.000 . 29 . 2.910 20.000 . 30 . 2.858 20.000 . 31 . 2.809 20.000 . 32 . 2.761 20.000 . 33 . 2.715 20.000 . 34 . 2.671 20.000 . 35 . 2.628 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 . 2.312 20.000 . 47 . 2.440 20.000 . 48 . 2.560 20.000 . 49 . 2.751 20.000 . 50 . 3.024 20.000 . 51 . 3.389 20.000 . 52 . 4.037 20.000 . 53 . 4.651 20.000 . 54 . 4.946 20.000 . 55 . 5.051 20.000 . 56 . 5.036 20.000 . 57 . 5.172 20.000 . 58 . 5.378 20.000 . 59 . 5.637 20.000 . 60 . 5.126 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 0.348 20.000 . 8 -1.000 0.430 20.000 . 9 -1.000 0.517 20.000 . 10 -1.000 0.608 20.000 . 11 -1.000 0.704 20.000 . 12 -1.000 0.803 20.000 . 13 -1.000 0.905 20.000 . 14 -1.000 1.009 20.000 . 15 -1.000 1.113 20.000 . 16 -1.000 1.218 20.000 . 17 -1.000 1.322 20.000 . 18 -1.000 1.425 20.000 . 19 -1.000 1.525 20.000 . 20 -1.000 1.622 20.000 . 21 -1.000 1.715 20.000 . 22 -1.000 1.801 20.000 . 23 -1.000 1.880 20.000 . 24 -1.000 1.951 20.000 . 25 -1.000 2.015 20.000 . 26 -1.000 2.072 20.000 . 27 -1.000 2.123 20.000 . 28 -1.000 2.168 20.000 . 29 -1.000 2.208 20.000 . 30 -1.000 2.243 20.000 . 31 -1.000 2.274 20.000 . 32 -1.000 2.300 20.000 . 33 -1.000 2.323 20.000 . 34 -1.000 2.343 20.000 . 35 -1.000 2.359 20.000 . 36 -1.000 2.373 20.000 . 37 -1.000 2.383 20.000 . 38 -1.000 2.391 20.000 . 39 -1.000 2.397 20.000 . 40 -1.000 2.400 20.000 . 41 -1.000 2.401 20.000 . 42 -1.000 2.401 20.000 . 43 -1.000 2.398 20.000 . 44 -1.000 2.393 20.000 . 45 -1.000 2.387 20.000 . 46 -1.000 2.379 20.000 . 47 -1.000 2.376 20.000 . 48 -1.000 2.379 20.000 . 49 -1.000 2.388 20.000 . 50 -1.000 2.407 20.000 . 51 -1.000 2.437 20.000 . 52 -1.000 2.485 20.000 . 53 -1.000 2.563 20.000 . 54 -1.000 2.667 20.000 . 55 -1.000 2.781 20.000 . 56 -1.000 2.894 20.000 . 57 -1.000 3.001 20.000 . 58 -1.000 3.110 20.000 . 59 -1.000 3.223 20.000 . 60 -1.000 3.344 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 10.000 907.851 +INF 3.8716E-6 4 10.000 954.103 +INF 5.5139E-6 5 10.000 1000.969 +INF 3.0388E-6 6 10.000 1047.856 +INF 4.5090E-6 7 10.000 1094.346 +INF 5.1326E-6 8 10.000 1140.110 +INF 5.8794E-6 9 10.000 1184.839 +INF 4.8647E-6 10 10.000 1228.197 +INF 4.9767E-6 11 10.000 1269.785 +INF 5.3966E-6 12 10.000 1309.111 +INF 6.5021E-6 13 10.000 1345.545 +INF 5.9305E-6 14 10.000 1378.283 +INF 6.8036E-6 15 10.000 1406.319 +INF 7.7525E-6 16 10.000 1428.402 +INF 8.0593E-6 17 10.000 1443.001 +INF 1.2935E-5 18 10.000 1448.257 +INF 1.3761E-5 19 10.000 1441.919 +INF 1.7424E-5 20 10.000 1421.305 +INF 1.5477E-4 21 10.000 1384.119 +INF -1.458E-4 22 10.000 1327.615 +INF . 23 10.000 1282.808 +INF . 24 10.000 1246.304 +INF . 25 10.000 1215.741 +INF . 26 10.000 1189.475 +INF . 27 10.000 1166.358 +INF . 28 10.000 1145.588 +INF . 29 10.000 1126.605 +INF . 30 10.000 1109.013 +INF . 31 10.000 1092.534 +INF . 32 10.000 1076.968 +INF . 33 10.000 1062.175 +INF . 34 10.000 1048.050 +INF . 35 10.000 1034.518 +INF . 36 10.000 1021.522 +INF . 37 10.000 1009.018 +INF . 38 10.000 996.973 +INF . 39 10.000 985.359 +INF . 40 10.000 974.153 +INF . 41 10.000 963.336 +INF . 42 10.000 952.891 +INF . 43 10.000 942.803 +INF . 44 10.000 933.057 +INF . 45 10.000 923.642 +INF . 46 10.000 914.546 +INF . 47 10.000 1088.631 +INF -3.292E-5 48 10.000 1045.522 +INF . 49 10.000 1154.436 +INF -9.851E-6 50 10.000 1260.193 +INF -1.440E-5 51 10.000 1467.104 +INF -7.333E-6 52 10.000 1713.122 +INF -3.824E-6 53 10.000 2739.318 +INF -2.672E-6 54 10.000 2459.471 +INF -1.964E-6 55 10.000 2274.705 +INF -1.511E-6 56 10.000 2101.244 +INF . 57 10.000 1955.100 +INF . 58 10.000 2594.003 +INF . 59 10.000 2389.021 +INF 5.5980E-6 60 10.000 3102.281 +INF . ---- VAR MATAV Average concentrations LOWER LEVEL UPPER MARGINAL 1 . 836.004 +INF . 2 . 885.479 +INF . 3 . 930.977 +INF . 4 . 977.536 +INF . 5 . 1024.413 +INF . 6 . 1071.101 +INF . 7 . 1117.228 +INF . 8 . 1162.474 +INF . 9 . 1206.518 +INF . 10 . 1248.991 +INF . 11 . 1289.448 +INF . 12 . 1327.328 +INF . 13 . 1361.914 +INF . 14 . 1392.301 +INF . 15 . 1417.360 +INF . 16 . 1435.702 +INF . 17 . 1445.629 +INF . 18 . 1445.088 +INF . 19 . 1431.612 +INF . 20 . 1402.712 +INF . 21 . 1355.867 +INF . 22 . 1305.212 +INF . 23 . 1264.556 +INF . 24 . 1231.022 +INF . 25 . 1202.608 +INF . 26 . 1177.916 +INF . 27 . 1155.973 +INF . 28 . 1136.097 +INF . 29 . 1117.809 +INF . 30 . 1100.774 +INF . 31 . 1084.751 +INF . 32 . 1069.571 +INF . 33 . 1055.112 +INF . 34 . 1041.284 +INF . 35 . 1028.020 +INF . 36 . 1015.270 +INF . 37 . 1002.996 +INF . 38 . 991.166 +INF . 39 . 979.756 +INF . 40 . 968.745 +INF . 41 . 958.114 +INF . 42 . 947.847 +INF . 43 . 937.930 +INF . 44 . 928.350 +INF . 45 . 919.094 +INF . 46 . 1001.588 +INF . 47 . 1067.077 +INF . 48 . 1099.979 +INF . 49 . 1207.315 +INF . 50 . 1363.648 +INF . 51 . 1590.113 +INF . 52 . 2226.220 +INF . 53 . 2599.395 +INF . 54 . 2367.088 +INF . 55 . 2187.975 +INF . 56 . 2028.172 +INF . 57 . 2274.551 +INF . 58 . 2491.512 +INF . 59 . 2745.651 +INF . 60 . 1551.141 +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 1348.673 +INF . 5 100.000 1388.067 +INF . 6 100.000 1430.565 +INF . 7 100.000 1475.719 +INF . 8 100.000 1523.070 +INF . 9 100.000 1572.164 +INF . 10 100.000 1622.555 +INF . 11 100.000 1673.801 +INF . 12 100.000 1725.449 +INF . 13 100.000 1777.018 +INF . 14 100.000 1827.980 +INF . 15 100.000 1877.735 +INF . 16 100.000 1925.575 +INF . 17 100.000 1970.665 +INF . 18 100.000 2011.999 +INF . 19 100.000 2048.369 +INF . 20 100.000 2078.316 +INF . 21 100.000 2100.089 +INF . 22 100.000 2111.759 +INF . 23 100.000 2111.160 +INF . 24 100.000 2102.313 +INF . 25 100.000 2088.003 +INF . 26 100.000 2070.158 +INF . 27 100.000 2050.108 +INF . 28 100.000 2028.771 +INF . 29 100.000 2006.778 +INF . 30 100.000 1984.558 +INF . 31 100.000 1962.406 +INF . 32 100.000 1940.517 +INF . 33 100.000 1919.023 +INF . 34 100.000 1898.007 +INF . 35 100.000 1877.522 +INF . 36 100.000 1857.598 +INF . 37 100.000 1838.251 +INF . 38 100.000 1819.486 +INF . 39 100.000 1801.300 +INF . 40 100.000 1783.686 +INF . 41 100.000 1766.635 +INF . 42 100.000 1750.134 +INF . 43 100.000 1734.169 +INF . 44 100.000 1718.727 +INF . 45 100.000 1703.792 +INF . 46 100.000 1689.350 +INF . 47 100.000 1675.386 +INF . 48 100.000 1696.501 +INF . 49 100.000 1706.417 +INF . 50 100.000 1735.561 +INF . 51 100.000 1780.506 +INF . 52 100.000 1858.078 +INF . 53 100.000 1970.883 +INF . 54 100.000 2261.425 +INF . 55 100.000 2456.336 +INF . 56 100.000 2587.739 +INF . 57 100.000 2667.152 +INF . 58 100.000 2707.418 +INF . 59 100.000 2862.914 +INF . 60 100.000 2956.944 +INF -3.065E-5 ---- 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 18395.644 +INF . 6 1000.000 18407.679 +INF . 7 1000.000 18421.802 +INF . 8 1000.000 18438.138 +INF . 9 1000.000 18456.791 +INF . 10 1000.000 18477.840 +INF . 11 1000.000 18501.343 +INF . 12 1000.000 18527.335 +INF . 13 1000.000 18555.829 +INF . 14 1000.000 18586.812 +INF . 15 1000.000 18620.247 +INF . 16 1000.000 18656.065 +INF . 17 1000.000 18694.163 +INF . 18 1000.000 18734.397 +INF . 19 1000.000 18776.572 +INF . 20 1000.000 18820.435 +INF . 21 1000.000 18865.658 +INF . 22 1000.000 18911.828 +INF . 23 1000.000 18958.438 +INF . 24 1000.000 19004.873 +INF . 25 1000.000 19050.720 +INF . 26 1000.000 19095.709 +INF . 27 1000.000 19139.666 +INF . 28 1000.000 19182.483 +INF . 29 1000.000 19224.099 +INF . 30 1000.000 19264.486 +INF . 31 1000.000 19303.636 +INF . 32 1000.000 19341.557 +INF . 33 1000.000 19378.264 +INF . 34 1000.000 19413.783 +INF . 35 1000.000 19448.140 +INF . 36 1000.000 19481.365 +INF . 37 1000.000 19513.491 +INF . 38 1000.000 19544.549 +INF . 39 1000.000 19574.573 +INF . 40 1000.000 19603.593 +INF . 41 1000.000 19631.642 +INF . 42 1000.000 19658.751 +INF . 43 1000.000 19684.950 +INF . 44 1000.000 19710.269 +INF . 45 1000.000 19734.738 +INF . 46 1000.000 19758.383 +INF . 47 1000.000 19781.233 +INF . 48 1000.000 19803.313 +INF . 49 1000.000 19826.379 +INF . 50 1000.000 19849.870 +INF . 51 1000.000 19874.745 +INF . 52 1000.000 19901.789 +INF . 53 1000.000 19932.628 +INF . 54 1000.000 19969.011 +INF . 55 1000.000 20019.807 +INF . 56 1000.000 20080.190 +INF . 57 1000.000 20146.956 +INF . 58 1000.000 20217.484 +INF . 59 1000.000 20289.805 +INF . 60 1000.000 20369.675 +INF . ---- VAR E CO2-equivalent emissions GtC LOWER LEVEL UPPER MARGINAL 1 . 85.320 +INF . 2 . 83.624 +INF . 3 . 90.478 +INF . 4 . 96.358 +INF . 5 . 101.419 +INF . 6 . 105.767 +INF . 7 . 109.451 +INF . 8 . 112.476 +INF . 9 . 114.799 +INF . 10 . 116.337 +INF . 11 . 116.965 +INF . 12 . 116.497 +INF . 13 . 114.685 +INF . 14 . 111.224 +INF . 15 . 105.742 +INF . 16 . 97.787 +INF . 17 . 86.824 +INF . 18 . 72.207 +INF . 19 . 53.195 +INF . 20 . 29.810 +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 . 0.119 +INF . 45 . 0.107 +INF . 46 . 182.971 +INF . 47 . 0.086 +INF . 48 . 141.897 +INF . 49 . 158.391 +INF . 50 . 276.731 +INF . 51 . 350.635 +INF . 52 . 1169.840 +INF . 53 . 47.077 +INF . 54 . 60.943 +INF . 55 . 18.325 +INF . 56 . 0.033 +INF . 57 . 749.698 +INF . 58 . 22.835 +INF . 59 . 887.161 +INF . 60 . 91.376 +INF 6.9319E-9 ---- VAR C Consumption trillions US dollars LOWER LEVEL UPPER MARGINAL 1 20.000 43.099 +INF . 2 20.000 54.632 +INF . 3 20.000 66.896 +INF . 4 20.000 80.047 +INF . 5 20.000 94.270 +INF . 6 20.000 109.768 +INF . 7 20.000 126.760 +INF . 8 20.000 145.481 +INF . 9 20.000 166.174 +INF . 10 20.000 189.103 +INF . 11 20.000 214.545 +INF . 12 20.000 242.816 +INF . 13 20.000 274.249 +INF . 14 20.000 309.199 +INF . 15 20.000 348.054 +INF . 16 20.000 391.236 +INF . 17 20.000 439.218 +INF . 18 20.000 492.531 +INF . 19 20.000 551.804 +INF . 20 20.000 617.867 +INF . 21 20.000 691.649 +INF . 22 20.000 774.773 +INF . 23 20.000 867.707 +INF . 24 20.000 971.016 +INF . 25 20.000 1085.379 +INF . 26 20.000 1211.943 +INF . 27 20.000 1350.897 +INF . 28 20.000 1505.973 +INF . 29 20.000 1685.447 +INF . 30 20.000 1887.756 +INF . 31 20.000 2055.459 +INF . 32 20.000 2307.794 +INF . 33 20.000 2592.311 +INF . 34 20.000 2780.301 +INF . 35 20.000 3091.459 +INF . 36 20.000 3406.398 +INF . 37 20.000 3857.583 +INF . 38 20.000 4270.181 +INF . 39 20.000 4637.208 +INF . 40 20.000 5026.559 +INF . 41 20.000 5198.124 +INF . 42 20.000 5441.692 +INF . 43 20.000 5020.769 +INF . 44 20.000 4508.976 +INF . 45 20.000 12909.383 +INF . 46 20.000 8478.962 +INF . 47 20.000 7542.575 +INF . 48 20.000 7739.456 +INF . 49 20.000 6066.218 +INF . 50 20.000 6300.563 +INF . 51 20.000 11963.061 +INF . 52 20.000 16379.897 +INF . 53 20.000 12517.954 +INF . 54 20.000 10189.096 +INF . 55 20.000 9102.991 +INF . 56 20.000 7678.724 +INF . 57 20.000 3156.638 +INF . 58 20.000 10601.785 +INF . 59 20.000 9470.600 +INF . 60 20.000 7578.731 +INF . ---- VAR K Capital stock trillions US dollars LOWER LEVEL UPPER MARGINAL 1 100.000 137.000 +INF . 2 100.000 172.607 +INF 6.7762E-7 3 100.000 211.844 +INF 7.2560E-8 4 100.000 254.795 +INF 2.5790E-7 5 100.000 301.798 +INF -5.598E-9 6 100.000 353.402 +INF 5.1738E-9 7 100.000 410.289 +INF 6.9946E-8 8 100.000 473.241 +INF 3.4337E-7 9 100.000 543.118 +INF 1.6887E-7 10 100.000 620.849 +INF -3.539E-8 11 100.000 707.431 +INF -1.400E-7 12 100.000 803.912 +INF -1.306E-7 13 100.000 911.605 +INF 2.1188E-7 14 100.000 1031.909 +INF -1.359E-7 15 100.000 1166.341 +INF 4.3857E-7 16 100.000 1316.573 +INF 5.6597E-7 17 100.000 1484.457 +INF 6.0336E-7 18 100.000 1672.026 +INF 1.1462E-6 19 100.000 1881.427 +INF 2.6782E-7 20 100.000 2114.606 +INF -1.241E-5 21 100.000 2372.466 +INF 1.1727E-5 22 100.000 2654.066 +INF 1.4389E-6 23 100.000 2975.092 +INF 2.2271E-6 24 100.000 3337.939 +INF 3.6395E-6 25 100.000 3746.695 +INF 1.1256E-6 26 100.000 4207.794 +INF -1.098E-5 27 100.000 4727.284 +INF -1.231E-5 28 100.000 5321.092 +INF -3.536E-5 29 100.000 5984.600 +INF -6.613E-5 30 100.000 6639.002 +INF -4.764E-5 31 100.000 7199.839 +INF 6.5840E-5 32 100.000 8132.920 +INF -2.717E-5 33 100.000 8926.172 +INF -1.624E-5 34 100.000 9385.769 +INF 4.8668E-5 35 100.000 10527.585 +INF 5.5842E-6 36 100.000 11647.447 +INF 8.1550E-6 37 100.000 12931.842 +INF -4.785E-6 38 100.000 13346.762 +INF 6.5367E-6 39 100.000 13140.032 +INF 1.3810E-5 40 100.000 12657.054 +INF 1.5787E-5 41 100.000 11643.391 +INF 2.3746E-5 42 100.000 11919.011 +INF 1.9964E-5 43 100.000 14004.823 +INF 2.6208E-5 44 100.000 26559.784 +INF 1.4316E-5 45 100.000 56932.946 +INF -2.781E-5 46 100.000 14858.414 +INF 1.0619E-5 47 100.000 8584.359 +INF 1.5638E-5 48 100.000 6816.986 +INF 1.4991E-5 49 100.000 3457.338 +INF . 50 100.000 8297.015 +INF 1.6010E-5 51 100.000 32938.606 +INF -3.875E-6 52 100.000 39987.439 +INF -4.267E-7 53 100.000 14580.574 +INF 2.3989E-6 54 100.000 6304.757 +INF 6.1679E-6 55 100.000 3526.768 +INF 1.0674E-5 56 100.000 1607.188 +INF . 57 100.000 100.000 +INF 9.6681E-4 58 100.000 3535.586 +INF . 59 100.000 2013.537 +INF . 60 100.000 761.828 +INF . ---- VAR CPC Per capita consumption thousands US dollars LOWER LEVEL UPPER MARGINAL 1 -INF 6.616 +INF . 2 -INF 7.662 +INF . 3 -INF 8.844 +INF . 4 -INF 10.171 +INF . 5 -INF 11.659 +INF . 6 -INF 13.325 +INF . 7 -INF 15.191 +INF . 8 -INF 17.278 +INF . 9 -INF 19.612 +INF . 10 -INF 22.220 +INF . 11 -INF 25.131 +INF . 12 -INF 28.381 +INF . 13 -INF 32.006 +INF . 14 -INF 36.046 +INF . 15 -INF 40.545 +INF . 16 -INF 45.551 +INF . 17 -INF 51.118 +INF . 18 -INF 57.307 +INF . 19 -INF 64.192 +INF . 20 -INF 71.868 +INF . 21 -INF 80.442 +INF . 22 -INF 90.104 +INF . 23 -INF 100.907 +INF . 24 -INF 112.918 +INF . 25 -INF 126.214 +INF . 26 -INF 140.929 +INF . 27 -INF 157.085 +INF . 28 -INF 175.116 +INF . 29 -INF 195.985 +INF . 30 -INF 219.509 +INF . 31 -INF 239.008 +INF . 32 -INF 268.349 +INF . 33 -INF 301.433 +INF . 34 -INF 323.292 +INF . 35 -INF 359.473 +INF . 36 -INF 396.093 +INF . 37 -INF 448.557 +INF . 38 -INF 496.533 +INF . 39 -INF 539.210 +INF . 40 -INF 584.484 +INF . 41 -INF 604.433 +INF . 42 -INF 632.755 +INF . 43 -INF 583.810 +INF . 44 -INF 524.300 +INF . 45 -INF 1501.091 +INF . 46 -INF 985.926 +INF . 47 -INF 877.044 +INF . 48 -INF 899.937 +INF . 49 -INF 705.374 +INF . 50 -INF 732.624 +INF . 51 -INF 1391.054 +INF . 52 -INF 1904.639 +INF . 53 -INF 1455.576 +INF . 54 -INF 1184.779 +INF . 55 -INF 1058.487 +INF . 56 -INF 892.875 +INF . 57 -INF 367.051 +INF . 58 -INF 1232.766 +INF . 59 -INF 1101.233 +INF . 60 -INF 881.248 +INF . ---- VAR PCY Per capita income thousands US dollars LOWER LEVEL UPPER MARGINAL 1 -INF 8.533 +INF . 2 -INF 9.789 +INF . 3 -INF 11.236 +INF . 4 -INF 12.877 +INF . 5 -INF 14.728 +INF . 6 -INF 16.810 +INF . 7 -INF 19.148 +INF . 8 -INF 21.769 +INF . 9 -INF 24.704 +INF . 10 -INF 27.988 +INF . 11 -INF 31.659 +INF . 12 -INF 35.760 +INF . 13 -INF 40.339 +INF . 14 -INF 45.448 +INF . 15 -INF 51.144 +INF . 16 -INF 57.489 +INF . 17 -INF 64.553 +INF . 18 -INF 72.415 +INF . 19 -INF 81.160 +INF . 20 -INF 90.887 +INF . 21 -INF 101.689 +INF . 22 -INF 113.941 +INF . 23 -INF 127.661 +INF . 24 -INF 142.953 +INF . 25 -INF 159.953 +INF . 26 -INF 178.839 +INF . 27 -INF 199.793 +INF . 28 -INF 223.132 +INF . 29 -INF 248.919 +INF . 30 -INF 276.311 +INF . 31 -INF 304.387 +INF . 32 -INF 339.168 +INF . 33 -INF 374.379 +INF . 34 -INF 407.652 +INF . 35 -INF 452.225 +INF . 36 -INF 499.240 +INF . 37 -INF 551.321 +INF . 38 -INF 595.211 +INF . 39 -INF 633.111 +INF . 40 -INF 668.555 +INF . 41 -INF 695.819 +INF . 42 -INF 747.277 +INF . 43 -INF 835.864 +INF . 44 -INF 1078.627 +INF . 45 -INF 1443.034 +INF . 46 -INF 1025.502 +INF . 47 -INF 921.506 +INF . 48 -INF 912.500 +INF . 49 -INF 787.834 +INF . 50 -INF 1081.991 +INF . 51 -INF 1722.478 +INF . 52 -INF 1912.056 +INF . 53 -INF 1469.772 +INF . 54 -INF 1200.226 +INF . 55 -INF 1062.877 +INF . 56 -INF 887.521 +INF . 57 -INF 407.757 +INF . 58 -INF 1241.844 +INF . 59 -INF 1101.927 +INF . 60 -INF 878.159 +INF . ---- VAR I Investment trillions US dollars LOWER LEVEL UPPER MARGINAL 1 -INF 12.484 +INF . 2 -INF 15.166 +INF . 3 -INF 18.093 +INF . 4 -INF 21.296 +INF . 5 -INF 24.817 +INF . 6 -INF 28.707 +INF . 7 -INF 33.018 +INF . 8 -INF 37.811 +INF . 9 -INF 43.148 +INF . 10 -INF 49.095 +INF . 11 -INF 55.725 +INF . 12 -INF 63.130 +INF . 13 -INF 71.405 +INF . 14 -INF 80.654 +INF . 15 -INF 90.990 +INF . 16 -INF 102.540 +INF . 17 -INF 115.443 +INF . 18 -INF 129.843 +INF . 19 -INF 145.859 +INF . 20 -INF 163.515 +INF . 21 -INF 182.684 +INF . 22 -INF 204.968 +INF . 23 -INF 230.059 +INF . 24 -INF 258.283 +INF . 25 -INF 290.140 +INF . 26 -INF 326.012 +INF . 27 -INF 367.279 +INF . 28 -INF 412.925 +INF . 29 -INF 455.230 +INF . 30 -INF 488.496 +INF . 31 -INF 562.249 +INF . 32 -INF 609.040 +INF . 33 -INF 627.341 +INF . 34 -INF 725.497 +INF . 35 -INF 797.671 +INF . 36 -INF 887.063 +INF . 37 -INF 883.771 +INF . 38 -INF 848.630 +INF . 39 -INF 807.541 +INF . 40 -INF 723.015 +INF . 41 -INF 785.921 +INF . 42 -INF 984.892 +INF . 43 -INF 2167.660 +INF . 44 -INF 4767.212 +INF . 45 -INF -499.288 +INF . 46 -INF 340.355 +INF . 47 -INF 382.381 +INF . 48 -INF 108.040 +INF . 49 -INF 709.152 +INF . 50 -INF 3004.562 +INF . 51 -INF 2850.246 +INF . 52 -INF 63.782 +INF . 53 -INF 122.082 +INF . 54 -INF 132.844 +INF . 55 -INF 37.748 +INF . 56 -INF -46.039 +INF . 57 -INF 350.072 +INF . 58 -INF 78.075 +INF . 59 -INF 5.975 +INF . 60 -INF -26.563 +INF . ---- VAR S Gross savings rate as fraction of gross world product LOWER LEVEL UPPER MARGINAL 1 -INF 0.225 +INF . 2 -INF 0.217 +INF . 3 -INF 0.213 +INF . 4 -INF 0.210 +INF . 5 -INF 0.208 +INF . 6 -INF 0.207 +INF . 7 -INF 0.207 +INF . 8 -INF 0.206 +INF . 9 -INF 0.206 +INF . 10 -INF 0.206 +INF . 11 -INF 0.206 +INF . 12 -INF 0.206 +INF . 13 -INF 0.207 +INF . 14 -INF 0.207 +INF . 15 -INF 0.207 +INF . 16 -INF 0.208 +INF . 17 -INF 0.208 +INF . 18 -INF 0.209 +INF . 19 -INF 0.209 +INF . 20 -INF 0.209 +INF . 21 -INF 0.209 +INF . 22 -INF 0.209 +INF . 23 -INF 0.210 +INF . 24 -INF 0.210 +INF . 25 -INF 0.211 +INF . 26 -INF 0.212 +INF . 27 -INF 0.214 +INF . 28 -INF 0.215 +INF . 29 -INF 0.213 +INF . 30 -INF 0.206 +INF . 31 -INF 0.215 +INF . 32 -INF 0.209 +INF . 33 -INF 0.195 +INF . 34 -INF 0.207 +INF . 35 -INF 0.205 +INF . 36 -INF 0.207 +INF . 37 -INF 0.186 +INF . 38 -INF 0.166 +INF . 39 -INF 0.148 +INF . 40 -INF 0.126 +INF . 41 -INF 0.131 +INF . 42 -INF 0.153 +INF . 43 -INF 0.302 +INF . 44 -INF 0.514 +INF . 45 -INF -0.040 +INF . 46 -INF 0.039 +INF . 47 -INF 0.048 +INF . 48 -INF 0.014 +INF . 49 -INF 0.105 +INF . 50 -INF 0.323 +INF . 51 -INF 0.192 +INF . 52 -INF 0.004 +INF . 53 -INF 0.010 +INF . 54 -INF 0.013 +INF . 55 -INF 0.004 +INF . 56 -INF -0.006 +INF . 57 -INF 0.100 +INF . 58 -INF 0.007 +INF . 59 -INF 6.3052E-4 +INF . 60 -INF -0.004 +INF . ---- VAR RI Real interest rate per annum LOWER LEVEL UPPER MARGINAL 1 -INF 0.057 +INF . 2 -INF 0.056 +INF . 3 -INF 0.055 +INF . 4 -INF 0.054 +INF . 5 -INF 0.053 +INF . 6 -INF 0.052 +INF . 7 -INF 0.052 +INF . 8 -INF 0.051 +INF . 9 -INF 0.050 +INF . 10 -INF 0.050 +INF . 11 -INF 0.049 +INF . 12 -INF 0.049 +INF . 13 -INF 0.049 +INF . 14 -INF 0.048 +INF . 15 -INF 0.048 +INF . 16 -INF 0.047 +INF . 17 -INF 0.047 +INF . 18 -INF 0.047 +INF . 19 -INF 0.046 +INF . 20 -INF 0.046 +INF . 21 -INF 0.045 +INF . 22 -INF 0.046 +INF . 23 -INF 0.046 +INF . 24 -INF 0.045 +INF . 25 -INF 0.045 +INF . 26 -INF 0.045 +INF . 27 -INF 0.044 +INF . 28 -INF 0.043 +INF . 29 -INF 0.042 +INF . 30 -INF 0.042 +INF . 31 -INF 0.044 +INF . 32 -INF 0.042 +INF . 33 -INF 0.043 +INF . 34 -INF 0.047 +INF . 35 -INF 0.046 +INF . 36 -INF 0.045 +INF . 37 -INF 0.045 +INF . 38 -INF 0.050 +INF . 39 -INF 0.059 +INF . 40 -INF 0.071 +INF . 41 -INF 0.089 +INF . 42 -INF 0.097 +INF . 43 -INF 0.089 +INF . 44 -INF 0.040 +INF . 45 -INF 2.6106E-4 +INF . 46 -INF 0.113 +INF . 47 -INF 0.212 +INF . 48 -INF 0.280 +INF . 49 -INF 0.523 +INF . 50 -INF 0.271 +INF . 51 -INF 0.070 +INF . 52 -INF 0.058 +INF . 53 -INF 0.195 +INF . 54 -INF 0.426 +INF . 55 -INF 0.712 +INF . 56 -INF 1.360 +INF . 57 -INF 10.455 +INF . 58 -INF 0.841 +INF . 59 -INF 1.347 +INF . 60 -INF 2.909 +INF . ---- VAR Y Gross world product net of abatement and damages LOWER LEVEL UPPER MARGINAL 1 . 55.583 +INF . 2 . 69.798 +INF . 3 . 84.989 +INF . 4 . 101.343 +INF . 5 . 119.087 +INF . 6 . 138.474 +INF . 7 . 159.779 +INF . 8 . 183.292 +INF . 9 . 209.322 +INF . 10 . 238.198 +INF . 11 . 270.269 +INF . 12 . 305.946 +INF . 13 . 345.654 +INF . 14 . 389.853 +INF . 15 . 439.044 +INF . 16 . 493.776 +INF . 17 . 554.660 +INF . 18 . 622.373 +INF . 19 . 697.663 +INF . 20 . 781.382 +INF . 21 . 874.333 +INF . 22 . 979.741 +INF . 23 . 1097.766 +INF . 24 . 1229.299 +INF . 25 . 1375.519 +INF . 26 . 1537.955 +INF . 27 . 1718.176 +INF . 28 . 1918.898 +INF . 29 . 2140.677 +INF . 30 . 2376.252 +INF . 31 . 2617.708 +INF . 32 . 2916.834 +INF . 33 . 3219.652 +INF . 34 . 3505.798 +INF . 35 . 3889.130 +INF . 36 . 4293.460 +INF . 37 . 4741.354 +INF . 38 . 5118.812 +INF . 39 . 5444.749 +INF . 40 . 5749.574 +INF . 41 . 5984.045 +INF . 42 . 6426.584 +INF . 43 . 7188.429 +INF . 44 . 9276.188 +INF . 45 . 12410.095 +INF . 46 . 8819.317 +INF . 47 . 7924.955 +INF . 48 . 7847.496 +INF . 49 . 6775.370 +INF 7.6532E-5 50 . 9305.124 +INF . 51 . 14813.307 +INF . 52 . 16443.678 +INF . 53 . 12640.036 +INF . 54 . 10321.939 +INF . 55 . 9140.739 +INF . 56 . 7632.685 +INF 1.7358E-5 57 . 3506.710 +INF . 58 . 10679.860 +INF -2.842E-6 59 . 9476.575 +INF 7.2438E-6 60 . 7552.168 +INF 1.0028E-5 ---- VAR YGROSS Gross world product GROSS of abatement and damages LOWER LEVEL UPPER MARGINAL 1 . 55.667 +INF . 2 . 69.998 +INF . 3 . 85.352 +INF . 4 . 101.944 +INF . 5 . 120.019 +INF . 6 . 139.852 +INF . 7 . 161.738 +INF . 8 . 185.997 +INF . 9 . 212.967 +INF . 10 . 243.010 +INF . 11 . 276.515 +INF . 12 . 313.895 +INF . 13 . 355.618 +INF . 14 . 402.187 +INF . 15 . 454.148 +INF . 16 . 512.093 +INF . 17 . 576.670 +INF . 18 . 648.585 +INF . 19 . 728.594 +INF . 20 . 817.473 +INF . 21 . 915.923 +INF . 22 . 1024.477 +INF . 23 . 1145.647 +INF . 24 . 1280.455 +INF . 25 . 1430.171 +INF . 26 . 1596.393 +INF . 27 . 1780.732 +INF . 28 . 1985.969 +INF . 29 . 2212.633 +INF . 30 . 2453.180 +INF . 31 . 2699.430 +INF . 32 . 3004.736 +INF . 33 . 3313.392 +INF . 34 . 3604.478 +INF . 35 . 3995.020 +INF . 36 . 4406.588 +INF . 37 . 4862.297 +INF . 38 . 5245.257 +INF . 39 . 5575.031 +INF . 40 . 5882.871 +INF . 41 . 6118.493 +INF . 42 . 6566.544 +INF . 43 . 7340.207 +INF . 44 . 9466.114 +INF . 45 . 12656.536 +INF . 46 . 8991.329 +INF . 47 . 8102.123 +INF . 48 . 8026.927 +INF . 49 . 6947.249 +INF . 50 . 9579.042 +INF . 51 . 15351.523 +INF . 52 . 17232.702 +INF . 53 . 13476.892 +INF . 54 . 11086.292 +INF . 55 . 9846.398 +INF . 56 . 8218.934 +INF . 57 . 3772.957 +INF . 58 . 11605.520 +INF . 59 . 10339.956 +INF . 60 . 8144.332 +INF . ---- VAR YNET Output net of damages equation LOWER LEVEL UPPER MARGINAL 1 -INF 55.583 +INF . 2 -INF 69.819 +INF . 3 -INF 85.024 +INF . 4 -INF 101.399 +INF . 5 -INF 119.173 +INF . 6 -INF 138.601 +INF . 7 -INF 159.962 +INF . 8 -INF 183.552 +INF . 9 -INF 209.685 +INF . 10 -INF 238.699 +INF . 11 -INF 270.953 +INF . 12 -INF 306.871 +INF . 13 -INF 346.898 +INF . 14 -INF 391.517 +INF . 15 -INF 441.264 +INF . 16 -INF 496.730 +INF . 17 -INF 558.583 +INF . 18 -INF 627.577 +INF . 19 -INF 704.560 +INF . 20 -INF 790.456 +INF . 21 -INF 886.195 +INF . 22 -INF 992.359 +INF . 23 -INF 1111.210 +INF . 24 -INF 1243.637 +INF . 25 -INF 1390.822 +INF . 26 -INF 1554.300 +INF . 27 -INF 1735.645 +INF . 28 -INF 1937.589 +INF . 29 -INF 2160.681 +INF . 30 -INF 2397.582 +INF . 31 -INF 2640.309 +INF . 32 -INF 2941.087 +INF . 33 -INF 3245.465 +INF . 34 -INF 3532.932 +INF . 35 -INF 3918.220 +INF . 36 -INF 4324.532 +INF . 37 -INF 4774.587 +INF . 38 -INF 5153.598 +INF . 39 -INF 5480.659 +INF . 40 -INF 5786.412 +INF . 41 -INF 6021.327 +INF . 42 -INF 6465.552 +INF . 43 -INF 7230.888 +INF . 44 -INF 9329.606 +INF . 45 -INF 12479.826 +INF . 46 -INF 8856.882 +INF . 47 -INF 7967.452 +INF . 48 -INF 7880.295 +INF . 49 -INF 6801.091 +INF . 50 -INF 9336.638 +INF . 51 -INF 14866.681 +INF . 52 -INF 16470.803 +INF . 53 -INF 12697.213 +INF . 54 -INF 10366.498 +INF . 55 -INF 9181.491 +INF . 56 -INF 7667.008 +INF . 57 -INF 3506.710 +INF . 58 -INF 10725.052 +INF . 59 -INF 9484.434 +INF . 60 -INF 7579.075 +INF . ---- VAR DAMAGES Damages LOWER LEVEL UPPER MARGINAL 1 -INF 0.084 +INF . 2 -INF 0.179 +INF . 3 -INF 0.328 +INF . 4 -INF 0.545 +INF . 5 -INF 0.847 +INF . 6 -INF 1.251 +INF . 7 -INF 1.776 +INF . 8 -INF 2.445 +INF . 9 -INF 3.282 +INF . 10 -INF 4.311 +INF . 11 -INF 5.562 +INF . 12 -INF 7.024 +INF . 13 -INF 8.721 +INF . 14 -INF 10.670 +INF . 15 -INF 12.884 +INF . 16 -INF 15.363 +INF . 17 -INF 18.087 +INF . 18 -INF 21.008 +INF . 19 -INF 24.034 +INF . 20 -INF 27.017 +INF . 21 -INF 29.728 +INF . 22 -INF 32.118 +INF . 23 -INF 34.437 +INF . 24 -INF 36.818 +INF . 25 -INF 39.349 +INF . 26 -INF 42.093 +INF . 27 -INF 45.087 +INF . 28 -INF 48.380 +INF . 29 -INF 51.952 +INF . 30 -INF 55.598 +INF . 31 -INF 59.121 +INF . 32 -INF 63.649 +INF . 33 -INF 67.927 +INF . 34 -INF 71.547 +INF . 35 -INF 76.800 +INF . 36 -INF 82.056 +INF . 37 -INF 87.710 +INF . 38 -INF 91.659 +INF . 39 -INF 94.372 +INF . 40 -INF 96.458 +INF . 41 -INF 97.166 +INF . 42 -INF 100.992 +INF . 43 -INF 109.319 +INF . 44 -INF 136.508 +INF . 45 -INF 176.709 +INF . 46 -INF 134.447 +INF . 47 -INF 134.671 +INF . 48 -INF 146.631 +INF . 49 -INF 146.159 +INF . 50 -INF 242.403 +INF . 51 -INF 484.842 +INF . 52 -INF 761.899 +INF . 53 -INF 779.679 +INF . 54 -INF 719.794 +INF . 55 -INF 664.907 +INF . 56 -INF 551.926 +INF . 57 -INF 266.247 +INF . 58 -INF 880.468 +INF . 59 -INF 855.522 +INF . 60 -INF 565.257 +INF . ---- VAR ABATECOST Cost of emissions reductions LOWER LEVEL UPPER MARGINAL 1 -INF 1.3292E-5 +INF . 2 -INF 0.021 +INF . 3 -INF 0.035 +INF . 4 -INF 0.056 +INF . 5 -INF 0.086 +INF . 6 -INF 0.128 +INF . 7 -INF 0.185 +INF . 8 -INF 0.264 +INF . 9 -INF 0.369 +INF . 10 -INF 0.510 +INF . 11 -INF 0.697 +INF . 12 -INF 0.946 +INF . 13 -INF 1.275 +INF . 14 -INF 1.710 +INF . 15 -INF 2.285 +INF . 16 -INF 3.045 +INF . 17 -INF 4.050 +INF . 18 -INF 5.378 +INF . 19 -INF 7.132 +INF . 20 -INF 9.384 +INF . 21 -INF 12.260 +INF . 22 -INF 13.027 +INF . 23 -INF 13.861 +INF . 24 -INF 14.762 +INF . 25 -INF 15.736 +INF . 26 -INF 16.788 +INF . 27 -INF 17.923 +INF . 28 -INF 19.158 +INF . 29 -INF 20.484 +INF . 30 -INF 21.825 +INF . 31 -INF 23.107 +INF . 32 -INF 24.778 +INF . 33 -INF 26.354 +INF . 34 -INF 27.683 +INF . 35 -INF 29.661 +INF . 36 -INF 31.661 +INF . 37 -INF 33.844 +INF . 38 -INF 35.405 +INF . 39 -INF 36.529 +INF . 40 -INF 37.453 +INF . 41 -INF 37.883 +INF . 42 -INF 39.577 +INF . 43 -INF 43.101 +INF . 44 -INF 54.199 +INF . 45 -INF 70.718 +INF . 46 -INF 38.135 +INF . 47 -INF 43.214 +INF . 48 -INF 33.410 +INF . 49 -INF 26.274 +INF . 50 -INF 32.332 +INF . 51 -INF 55.115 +INF . 52 -INF 28.379 +INF . 53 -INF 60.687 +INF . 54 -INF 47.652 +INF . 55 -INF 43.703 +INF . 56 -INF 36.794 +INF . 57 -INF . +INF . 58 -INF 48.902 +INF . 59 -INF 8.568 +INF . 60 -INF 28.914 +INF . ---- VAR CCA Cumulative industrial carbon emissions GTC LOWER LEVEL UPPER MARGINAL 1 . . 6000.000 . 2 . 85.320 6000.000 . 3 . 168.945 6000.000 . 4 . 259.423 6000.000 . 5 . 355.781 6000.000 . 6 . 457.200 6000.000 . 7 . 562.967 6000.000 . 8 . 672.418 6000.000 . 9 . 784.893 6000.000 . 10 . 899.692 6000.000 . 11 . 1016.030 6000.000 . 12 . 1132.995 6000.000 . 13 . 1249.491 6000.000 . 14 . 1364.176 6000.000 . 15 . 1475.400 6000.000 . 16 . 1581.142 6000.000 . 17 . 1678.929 6000.000 . 18 . 1765.753 6000.000 . 19 . 1837.960 6000.000 . 20 . 1891.155 6000.000 . 21 . 1920.965 6000.000 . 22 . 1922.303 6000.000 . 23 . 1923.506 6000.000 . 24 . 1924.590 6000.000 . 25 . 1925.564 6000.000 . 26 . 1926.442 6000.000 . 27 . 1927.232 6000.000 . 28 . 1927.942 6000.000 . 29 . 1928.582 6000.000 . 30 . 1929.158 6000.000 . 31 . 1929.676 6000.000 . 32 . 1930.142 6000.000 . 33 . 1930.562 6000.000 . 34 . 1930.939 6000.000 . 35 . 1931.279 6000.000 . 36 . 1931.585 6000.000 . 37 . 1931.861 6000.000 . 38 . 1932.108 6000.000 . 39 . 1932.331 6000.000 . 40 . 1932.532 6000.000 . 41 . 1932.713 6000.000 . 42 . 1932.875 6000.000 . 43 . 1933.022 6000.000 . 44 . 1933.153 6000.000 . 45 . 1933.272 6000.000 . 46 . 1933.379 6000.000 . 47 . 2116.350 6000.000 . 48 . 2116.436 6000.000 . 49 . 2258.333 6000.000 . 50 . 2416.724 6000.000 . 51 . 2693.455 6000.000 . 52 . 3044.089 6000.000 . 53 . 4213.930 6000.000 . 54 . 4261.006 6000.000 . 55 . 4321.949 6000.000 . 56 . 4340.274 6000.000 . 57 . 4340.307 6000.000 . 58 . 5090.005 6000.000 . 59 . 5112.839 6000.000 . 60 . 6000.000 6000.000 -2.750E-8 ---- VAR PERIODU One period utility function LOWER LEVEL UPPER MARGINAL 1 -INF -150.141 +INF . 2 -INF -129.511 +INF . 3 -INF -112.073 +INF . 4 -INF -97.317 +INF . 5 -INF -84.771 +INF . 6 -INF -74.045 +INF . 7 -INF -64.829 +INF . 8 -INF -56.877 +INF . 9 -INF -49.989 +INF . 10 -INF -44.005 +INF . 11 -INF -38.791 +INF . 12 -INF -34.235 +INF . 13 -INF -30.244 +INF . 14 -INF -26.742 +INF . 15 -INF -23.664 +INF . 16 -INF -20.954 +INF . 17 -INF -18.563 +INF . 18 -INF -16.450 +INF . 19 -INF -14.578 +INF . 20 -INF -12.914 +INF . 21 -INF -11.431 +INF . 22 -INF -10.098 +INF . 23 -INF -8.910 +INF . 24 -INF -7.856 +INF . 25 -INF -6.923 +INF . 26 -INF -6.096 +INF . 27 -INF -5.366 +INF . 28 -INF -4.710 +INF . 29 -INF -4.102 +INF . 30 -INF -3.556 +INF . 31 -INF -3.184 +INF . 32 -INF -2.726 +INF . 33 -INF -2.317 +INF . 34 -INF -2.093 +INF . 35 -INF -1.782 +INF . 36 -INF -1.525 +INF . 37 -INF -1.229 +INF . 38 -INF -1.014 +INF . 39 -INF -0.855 +INF . 40 -INF -0.711 +INF . 41 -INF -0.654 +INF . 42 -INF -0.580 +INF . 43 -INF -0.713 +INF . 44 -INF -0.907 +INF . 45 -INF 0.334 +INF . 46 -INF -0.014 +INF . 47 -INF -0.140 +INF . 48 -INF -0.111 +INF . 49 -INF -0.418 +INF . 50 -INF -0.365 +INF . 51 -INF 0.281 +INF . 52 -INF 0.475 +INF . 53 -INF 0.313 +INF . 54 -INF 0.156 +INF . 55 -INF 0.055 +INF . 56 -INF -0.120 +INF . 57 -INF -1.724 +INF . 58 -INF 0.189 +INF . 59 -INF 0.092 +INF . 60 -INF -0.135 +INF . LOWER LEVEL UPPER MARGINAL ---- VAR UTILITY -INF 1.5024E+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 00:05:43 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 317 MODEL STATISTICS BLOCKS OF EQUATIONS 30 SINGLE EQUATIONS 1,263 BLOCKS OF VARIABLES 24 SINGLE VARIABLES 1,381 NON ZERO ELEMENTS 3,767 NON LINEAR N-Z 1,080 DERIVATIVE POOL 6 CONSTANT POOL 327 CODE LENGTH 5,643 GENERATION TIME = 0.007 SECONDS 3 Mb LEX237-237 Jul 7, 2011 EXECUTION TIME = 0.017 SECONDS 3 Mb LEX237-237 Jul 7, 2011 GAMS Rev 237 LEX-LEG 23.7.1 x86_64/Linux 09/14/11 00:05:43 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 317 S O L V E S U M M A R Y MODEL CO2 OBJECTIVE UTILITY TYPE NLP DIRECTION MAXIMIZE SOLVER MINOS FROM LINE 317 **** SOLVER STATUS 1 Normal Completion **** MODEL STATUS 2 Locally Optimal **** OBJECTIVE VALUE 150236.2088 RESOURCE USAGE, LIMIT 0.013 99999.000 ITERATION COUNT, LIMIT 0 99900 EVALUATION ERRORS 0 0 GAMS/MINOS Jul 14, 2011 23.7.1 LEX 26779.26792 LEG x86_64/Linux M I N O S 5.51 (Jun 2004) GAMS/MINOS 5.51, Large Scale Nonlinear Solver B. A. Murtagh, University of New South Wales P. E. Gill, University of California at San Diego, W. Murray, M. A. Saunders, and M. H. Wright, Systems Optimization Laboratory, Stanford University Work space allocated -- 4.03 Mb EXIT - Optimal Solution found, objective: 150236.2 ---- EQU CCTFIRST First period cumulative carbon LOWER LEVEL UPPER MARGINAL 1 . . . 1.4198E-6 ---- EQU CCACCA Cumulative carbon emissions LOWER LEVEL UPPER MARGINAL 2 . . . 1.4198E-6 3 . . . 1.4198E-6 4 . . . 1.4198E-6 5 . . . 1.4198E-6 6 . . . 1.4198E-6 7 . . . 1.4198E-6 8 . . . 1.4198E-6 9 . . . 1.4198E-6 10 . . . 1.4198E-6 11 . . . 1.4198E-6 12 . . . 1.4198E-6 13 . . . 1.4198E-6 14 . . . 1.4198E-6 15 . . . 1.4198E-6 16 . . . 1.4198E-6 17 . . . 1.4198E-6 18 . . . 1.4198E-6 19 . . . 1.4198E-6 20 . . . 1.4198E-6 21 . . . 1.4198E-6 22 . . . 1.4198E-6 23 . . . 1.4198E-6 24 . . . 1.4198E-6 25 . . . 1.4198E-6 26 . . . 1.4198E-6 27 . . . 1.4198E-6 28 . . . 1.4198E-6 29 . . . 1.4198E-6 30 . . . 1.4198E-6 31 . . . 1.4198E-6 32 . . . 1.4198E-6 33 . . . 1.4198E-6 34 . . . 1.4198E-6 35 . . . 1.4198E-6 36 . . . 1.4198E-6 37 . . . 1.4198E-6 38 . . . 1.4198E-6 39 . . . 1.4198E-6 40 . . . 1.4198E-6 41 . . . 1.4198E-6 42 . . . 1.4198E-6 43 . . . 1.4198E-6 44 . . . 1.4198E-6 45 . . . 1.4198E-6 46 . . . 1.4198E-6 47 . . . 1.4198E-6 48 . . . 1.4198E-6 49 . . . 1.4198E-6 50 . . . 1.4198E-6 51 . . . 1.4198E-6 52 . . . 1.4198E-6 53 . . . 1.4198E-6 54 . . . 1.4198E-6 55 . . . 1.4198E-6 56 . . . 1.4198E-6 57 . . . 1.4198E-6 58 . . . 1.4198E-6 59 . . . 1.4198E-6 60 . . . 1.4198E-6 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 . . . 1177.503 2 . . . 756.535 3 . . . 489.319 4 . . . 318.768 5 . . . 209.043 6 . . . 137.892 7 . . . 91.427 8 . . . 60.896 9 . . . 40.726 10 . . . 27.339 11 . . . 18.415 12 . . . 12.442 13 . . . 8.430 14 . . . 5.727 15 . . . 3.900 16 . . . 2.663 17 . . . 1.822 18 . . . 1.249 19 . . . 0.858 20 . . . 0.590 21 . . . 0.406 22 . . . 0.279 23 . . . 0.191 24 . . . 0.132 25 . . . 0.091 26 . . . 0.063 27 . . . 0.044 28 . . . 0.030 29 . . . 0.021 30 . . . 0.014 31 . . . 0.010 32 . . . 0.007 33 . . . 0.005 34 . . . 0.004 35 . . . 0.003 36 . . . 0.002 37 . . . 0.001 38 . . . 8.4697E-4 39 . . . 6.1885E-4 40 . . . 4.5383E-4 41 . . . 3.6567E-4 42 . . . 2.8751E-4 43 . . . 2.9102E-4 44 . . . 3.1091E-4 45 . . . 3.2683E-5 46 . . . 6.5282E-5 47 . . . 7.1085E-5 48 . . . 5.8175E-5 49 . . . 5.0621E-6 50 . . . 6.5174E-5 51 . . . 1.5577E-5 52 . . . 7.1596E-6 53 . . . 1.0563E-5 54 . . . 1.3738E-5 55 . . . 1.4831E-5 56 . . . 1.7959E-5 57 . . . 9.1572E-5 58 . . . 6.9951E-6 59 . . . 7.5533E-6 60 . . . 1.0163E-5 ---- 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 . . . 1175.720 2 . . . 754.374 3 . . . 487.238 4 . . . 316.888 5 . . . 207.419 6 . . . 136.534 7 . . . 90.319 8 . . . 60.010 9 . . . 40.029 10 . . . 26.797 11 . . . 17.999 12 . . . 12.127 13 . . . 8.194 14 . . . 5.551 15 . . . 3.770 16 . . . 2.567 17 . . . 1.752 18 . . . 1.198 19 . . . 0.821 20 . . . 0.564 21 . . . 0.387 22 . . . 0.266 23 . . . 0.183 24 . . . 0.126 25 . . . 0.087 26 . . . 0.060 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 . . . 0.002 36 . . . 0.002 37 . . . 0.001 38 . . . 8.2655E-4 39 . . . 6.0439E-4 40 . . . 4.4355E-4 41 . . . 3.5763E-4 42 . . . 2.8138E-4 43 . . . 2.8500E-4 44 . . . 3.0468E-4 45 . . . 3.2047E-5 46 . . . 6.4033E-5 47 . . . 6.9530E-5 48 . . . 5.6874E-5 49 . . . 4.9368E-6 50 . . . 6.3311E-5 51 . . . 1.5031E-5 52 . . . 6.8318E-6 53 . . . 9.9071E-6 54 . . . 1.2791E-5 55 . . . 1.3768E-5 56 . . . 5.5853E-7 57 . . . 8.5110E-5 58 . . . 6.4372E-6 59 . . . 2.9590E-7 60 . . . 1.3088E-7 ---- EQU DAMEQ Damage equation LOWER LEVEL UPPER MARGINAL 1 . . . EPS 2 . . . EPS 3 . . . EPS 4 . . . EPS 5 . . . EPS 6 . . . EPS 7 . . . EPS 8 . . . EPS 9 . . . EPS 10 . . . EPS 11 . . . EPS 12 . . . EPS 13 . . . EPS 14 . . . EPS 15 . . . EPS 16 . . . EPS 17 . . . EPS 18 . . . EPS 19 . . . EPS 20 . . . EPS 21 . . . EPS 22 . . . EPS 23 . . . EPS 24 . . . EPS 25 . . . EPS 26 . . . EPS 27 . . . EPS 28 . . . EPS 29 . . . EPS 30 . . . EPS 31 . . . EPS 32 . . . EPS 33 . . . EPS 34 . . . EPS 35 . . . EPS 36 . . . EPS 37 . . . EPS 38 . . . EPS 39 . . . EPS 40 . . . EPS 41 . . . EPS 42 . . . EPS 43 . . . EPS 44 . . . EPS 45 . . . EPS 46 . . . EPS 47 . . . EPS 48 . . . EPS 49 . . . EPS 50 . . . EPS 51 . . . EPS 52 . . . EPS 53 . . . EPS 54 . . . EPS 55 . . . EPS 56 . . . EPS 57 . . . EPS 58 . . . EPS 59 . . . EPS 60 . . . EPS ---- EQU ABATEEQ Cost of emissions reductions equation LOWER LEVEL UPPER MARGINAL 1 . . . EPS 2 . . . EPS 3 . . . EPS 4 . . . EPS 5 . . . EPS 6 . . . EPS 7 . . . EPS 8 . . . EPS 9 . . . EPS 10 . . . EPS 11 . . . EPS 12 . . . EPS 13 . . . EPS 14 . . . EPS 15 . . . EPS 16 . . . EPS 17 . . . EPS 18 . . . EPS 19 . . . EPS 20 . . . EPS 21 . . . EPS 22 . . . EPS 23 . . . EPS 24 . . . EPS 25 . . . EPS 26 . . . EPS 27 . . . EPS 28 . . . EPS 29 . . . EPS 30 . . . EPS 31 . . . EPS 32 . . . EPS 33 . . . EPS 34 . . . EPS 35 . . . EPS 36 . . . EPS 37 . . . EPS 38 . . . 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 . . . 1177.503 2 . . . 756.535 3 . . . 489.319 4 . . . 318.768 5 . . . 209.043 6 . . . 137.892 7 . . . 91.427 8 . . . 60.896 9 . . . 40.726 10 . . . 27.339 11 . . . 18.415 12 . . . 12.442 13 . . . 8.430 14 . . . 5.727 15 . . . 3.900 16 . . . 2.663 17 . . . 1.822 18 . . . 1.249 19 . . . 0.858 20 . . . 0.590 21 . . . 0.406 22 . . . 0.279 23 . . . 0.191 24 . . . 0.132 25 . . . 0.091 26 . . . 0.063 27 . . . 0.044 28 . . . 0.030 29 . . . 0.021 30 . . . 0.014 31 . . . 0.010 32 . . . 0.007 33 . . . 0.005 34 . . . 0.004 35 . . . 0.003 36 . . . 0.002 37 . . . 0.001 38 . . . 8.4697E-4 39 . . . 6.1885E-4 40 . . . 4.5383E-4 41 . . . 3.6567E-4 42 . . . 2.8751E-4 43 . . . 2.9102E-4 44 . . . 3.1091E-4 45 . . . 3.2683E-5 46 . . . 6.5282E-5 47 . . . 7.1085E-5 48 . . . 5.8175E-5 49 . . . 8.1594E-5 50 . . . 6.5174E-5 51 . . . 1.5577E-5 52 . . . 7.1596E-6 53 . . . 1.0563E-5 54 . . . 1.3738E-5 55 . . . 1.4831E-5 56 . . . 1.7959E-5 57 . . . 9.1572E-5 58 . . . 6.9951E-6 59 . . . 7.5533E-6 60 . . . 1.0163E-5 ---- EQU KK Capital balance equation LOWER LEVEL UPPER MARGINAL 1 -INF . . 117.750 2 -INF . . 75.654 3 -INF . . 48.932 4 -INF . . 31.877 5 -INF . . 20.904 6 -INF . . 13.789 7 -INF . . 9.143 8 -INF . . 6.090 9 -INF . . 4.073 10 -INF . . 2.734 11 -INF . . 1.841 12 -INF . . 1.244 13 -INF . . 0.843 14 -INF . . 0.573 15 -INF . . 0.390 16 -INF . . 0.266 17 -INF . . 0.182 18 -INF . . 0.125 19 -INF . . 0.086 20 -INF . . 0.059 21 -INF . . 0.041 22 -INF . . 0.028 23 -INF . . 0.019 24 -INF . . 0.013 25 -INF . . 0.009 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 . . 7.0847E-4 33 -INF . . 4.8382E-4 34 -INF . . 3.6242E-4 35 -INF . . 2.5259E-4 36 -INF . . 1.7926E-4 37 -INF . . 1.2044E-4 38 -INF . . 8.4697E-5 39 -INF . . 6.1885E-5 40 -INF . . 4.5383E-5 41 -INF . . 3.6567E-5 42 -INF . . 2.8751E-5 43 -INF . . 2.9102E-5 44 -INF . . 3.1091E-5 45 -INF . . 3.2683E-6 46 -INF . . 6.5282E-6 47 -INF . . 7.1085E-6 48 -INF . . 5.8175E-6 49 -INF . . 8.1594E-6 50 -INF . . 6.5174E-6 51 -INF . . 1.5577E-6 52 -INF . . 7.1596E-7 53 -INF . . 1.0563E-6 54 -INF . . 1.3738E-6 55 -INF . . 1.4831E-6 56 -INF . . 1.7959E-6 57 -INF . . 9.1572E-6 58 -INF . . 6.9951E-7 59 -INF . . 7.5533E-7 60 -INF . . 1.0163E-6 ---- EQU KK0 Initial condition for capital LOWER LEVEL UPPER MARGINAL 1 137.000 137.000 137.000 183.853 ---- EQU InvestCond investment condition LOWER LEVEL UPPER MARGINAL 60 . . +INF . ---- 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 -3.212 2 9.900 9.900 9.900 -3.162 3 8.910 8.910 8.910 -2.602 4 8.019 8.019 8.019 -2.108 5 7.217 7.217 7.217 -1.688 6 6.495 6.495 6.495 -1.339 7 5.846 5.846 5.846 -1.056 8 5.261 5.261 5.261 -0.828 9 4.735 4.735 4.735 -0.647 10 4.262 4.262 4.262 -0.504 11 3.835 3.835 3.835 -0.392 12 3.452 3.452 3.452 -0.304 13 3.107 3.107 3.107 -0.236 14 2.796 2.796 2.796 -0.183 15 2.516 2.516 2.516 -0.142 16 2.265 2.265 2.265 -0.110 17 2.038 2.038 2.038 -0.086 18 1.834 1.834 1.834 -0.067 19 1.651 1.651 1.651 -0.052 20 1.486 1.486 1.486 -0.041 21 1.337 1.337 1.337 -0.032 22 1.204 1.204 1.204 -0.025 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 -8.224E-4 36 0.275 0.275 0.275 -6.283E-4 37 0.248 0.248 0.248 -4.837E-4 38 0.223 0.223 0.223 -3.773E-4 39 0.201 0.201 0.201 -2.973E-4 40 0.181 0.181 0.181 -2.352E-4 41 0.163 0.163 0.163 -1.835E-4 42 0.146 0.146 0.146 -1.360E-4 43 0.132 0.132 0.132 -8.761E-5 44 0.119 0.119 0.119 -3.934E-5 45 0.107 0.107 0.107 -1.231E-5 46 0.096 0.096 0.096 -3.536E-6 47 0.086 0.086 0.086 -7.056E-6 48 0.078 0.078 0.078 -3.165E-6 49 0.070 0.070 0.070 -2.607E-7 50 0.063 0.063 0.063 -3.135E-6 51 0.057 0.057 0.057 -7.816E-7 52 0.051 0.051 0.051 -2.167E-7 53 0.046 0.046 0.046 -6.069E-7 54 0.041 0.041 0.041 -7.666E-7 55 0.037 0.037 0.037 -8.493E-7 56 0.033 0.033 0.033 -1.808E-6 57 0.030 0.030 0.030 -9.611E-7 58 0.027 0.027 0.027 -3.929E-7 59 0.024 0.024 0.024 -1.491E-7 60 0.022 0.022 0.022 -5.222E-7 ---- EQU SEQ Savings rate 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 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 -161.114 3 0.012 0.012 0.012 -147.315 4 0.048 0.048 0.048 -130.188 5 0.084 0.084 0.084 -112.265 6 0.120 0.120 0.120 -95.048 7 0.156 0.156 0.156 -79.343 8 0.192 0.192 0.192 -65.496 9 0.228 0.228 0.228 -53.575 10 0.264 0.264 0.264 -43.485 11 0.300 0.300 0.300 -35.048 12 0.300 0.300 0.300 -28.048 13 0.300 0.300 0.300 -22.319 14 0.300 0.300 0.300 -17.671 15 0.300 0.300 0.300 -13.925 16 0.300 0.300 0.300 -10.921 17 0.300 0.300 0.300 -8.521 18 0.300 0.300 0.300 -6.610 19 0.300 0.300 0.300 -5.093 20 0.300 0.300 0.300 -3.896 21 0.300 0.300 0.300 -2.958 22 0.300 0.300 0.300 -2.236 23 0.300 0.300 0.300 -1.688 24 0.300 0.300 0.300 -1.275 25 0.300 0.300 0.300 -0.965 26 0.300 0.300 0.300 -0.732 27 0.300 0.300 0.300 -0.556 28 0.300 0.300 0.300 -0.421 29 0.300 0.300 0.300 -0.319 30 0.300 0.300 0.300 -0.243 31 0.300 0.300 0.300 -0.187 32 0.300 0.300 0.300 -0.142 33 0.300 0.300 0.300 -0.108 34 0.300 0.300 0.300 -0.084 35 0.300 0.300 0.300 -0.064 36 0.300 0.300 0.300 -0.049 37 0.300 0.300 0.300 -0.037 38 0.300 0.300 0.300 -0.028 39 0.300 0.300 0.300 -0.022 40 0.300 0.300 0.300 -0.018 41 0.300 0.300 0.300 -0.016 42 0.300 0.300 0.300 -0.014 43 0.300 0.300 0.300 -0.013 44 0.300 0.300 0.300 -0.011 45 0.300 0.300 0.300 -0.004 46 0.300 0.300 0.300 -0.004 47 0.300 0.300 0.300 -0.004 48 0.300 0.300 0.300 -0.003 49 0.300 0.300 0.300 -0.003 50 0.300 0.300 0.300 -0.004 51 0.300 0.300 0.300 -0.002 52 0.300 0.300 0.300 -0.002 53 0.300 0.300 0.300 -0.002 54 0.300 0.300 0.300 -0.002 55 0.300 0.300 0.300 -0.002 56 0.300 0.300 0.300 -0.002 57 0.300 0.300 0.300 -0.003 58 0.300 0.300 0.300 -9.646E-4 59 0.300 0.300 0.300 -7.620E-4 60 0.300 0.300 0.300 -4.573E-4 ---- EQU MMAT0 Starting atmospheric concentration LOWER LEVEL UPPER MARGINAL 1 808.900 808.900 808.900 -2.790 ---- EQU MMAT Atmospheric concentration equation LOWER LEVEL UPPER MARGINAL 2 . . . -3.212 3 . . . -3.162 4 . . . -2.602 5 . . . -2.108 6 . . . -1.688 7 . . . -1.339 8 . . . -1.056 9 . . . -0.828 10 . . . -0.647 11 . . . -0.504 12 . . . -0.392 13 . . . -0.304 14 . . . -0.236 15 . . . -0.183 16 . . . -0.142 17 . . . -0.110 18 . . . -0.086 19 . . . -0.067 20 . . . -0.052 21 . . . -0.041 22 . . . -0.032 23 . . . -0.025 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 . . . -8.238E-4 37 . . . -6.297E-4 38 . . . -4.851E-4 39 . . . -3.788E-4 40 . . . -2.987E-4 41 . . . -2.366E-4 42 . . . -1.849E-4 43 . . . -1.375E-4 44 . . . -8.902E-5 45 . . . -4.076E-5 46 . . . -1.373E-5 47 . . . -4.956E-6 48 . . . -8.476E-6 49 . . . -4.585E-6 50 . . . -1.680E-6 51 . . . -4.555E-6 52 . . . -2.201E-6 53 . . . -1.636E-6 54 . . . -2.027E-6 55 . . . -2.186E-6 56 . . . -2.269E-6 57 . . . -3.228E-6 58 . . . -2.381E-6 59 . . . -1.813E-6 60 . . . -1.569E-6 ---- EQU MMATAVEQ Average concentrations equation LOWER LEVEL UPPER MARGINAL 1 . . . EPS 2 . . . -0.997 3 . . . -0.867 4 . . . -0.730 5 . . . -0.601 6 . . . -0.486 7 . . . -0.389 8 . . . -0.309 9 . . . -0.243 10 . . . -0.191 11 . . . -0.149 12 . . . -0.116 13 . . . -0.090 14 . . . -0.070 15 . . . -0.054 16 . . . -0.042 17 . . . -0.032 18 . . . -0.025 19 . . . -0.020 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 . . . -9.461E-4 32 . . . -7.253E-4 33 . . . -5.603E-4 34 . . . -4.438E-4 35 . . . -3.424E-4 36 . . . -2.640E-4 37 . . . -2.008E-4 38 . . . -1.567E-4 39 . . . -1.256E-4 40 . . . -1.037E-4 41 . . . -9.036E-5 42 . . . -8.127E-5 43 . . . -7.659E-5 44 . . . -6.362E-5 45 . . . -2.383E-5 46 . . . -2.335E-5 47 . . . -2.000E-5 48 . . . -1.625E-5 49 . . . -1.222E-5 50 . . . -1.548E-5 51 . . . -8.267E-6 52 . . . -5.298E-6 53 . . . -4.981E-6 54 . . . -5.661E-6 55 . . . -6.127E-6 56 . . . -6.735E-6 57 . . . -6.180E-6 58 . . . -2.122E-6 59 . . . -1.521E-6 60 . . . -1.616E-6 ---- EQU MMU0 Initial shallow ocean concentration LOWER LEVEL UPPER MARGINAL 1 1255.000 1255.000 1255.000 -1.151 ---- EQU MMU Shallow ocean concentration LOWER LEVEL UPPER MARGINAL 2 . . . -0.982 3 . . . -0.791 4 . . . -0.631 5 . . . -0.499 6 . . . -0.392 7 . . . -0.307 8 . . . -0.240 9 . . . -0.187 10 . . . -0.145 11 . . . -0.113 12 . . . -0.087 13 . . . -0.068 14 . . . -0.053 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 . . . -0.002 27 . . . -0.002 28 . . . -0.001 29 . . . -0.001 30 . . . -7.881E-4 31 . . . -5.865E-4 32 . . . -4.311E-4 33 . . . -3.117E-4 34 . . . -2.194E-4 35 . . . -1.485E-4 36 . . . -9.439E-5 37 . . . -5.315E-5 38 . . . -2.132E-5 39 . . . 3.8354E-6 40 . . . 2.4173E-5 41 . . . 4.0902E-5 42 . . . 5.4591E-5 43 . . . 6.5200E-5 44 . . . 7.2087E-5 45 . . . 7.4630E-5 46 . . . 7.4498E-5 47 . . . 7.3311E-5 48 . . . 7.2288E-5 49 . . . 7.0612E-5 50 . . . 6.8282E-5 51 . . . 6.5844E-5 52 . . . 6.2682E-5 53 . . . 5.8874E-5 54 . . . 5.4417E-5 55 . . . 4.9171E-5 56 . . . 4.2991E-5 57 . . . 3.5813E-5 58 . . . 2.7257E-5 59 . . . 1.7116E-5 60 . . . 5.1499E-6 ---- 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 . . . -9.755E-4 12 . . . -7.052E-4 13 . . . -4.952E-4 14 . . . -3.321E-4 15 . . . -2.052E-4 16 . . . -1.064E-4 17 . . . -2.943E-5 18 . . . 3.0589E-5 19 . . . 7.7379E-5 20 . . . 1.1382E-4 21 . . . 1.4221E-4 22 . . . 1.6430E-4 23 . . . 1.8148E-4 24 . . . 1.9485E-4 25 . . . 2.0527E-4 26 . . . 2.1341E-4 27 . . . 2.1980E-4 28 . . . 2.2483E-4 29 . . . 2.2881E-4 30 . . . 2.3199E-4 31 . . . 2.3455E-4 32 . . . 2.3663E-4 33 . . . 2.3835E-4 34 . . . 2.3978E-4 35 . . . 2.4100E-4 36 . . . 2.4205E-4 37 . . . 2.4297E-4 38 . . . 2.4380E-4 39 . . . 2.4455E-4 40 . . . 2.4524E-4 41 . . . 2.4588E-4 42 . . . 2.4647E-4 43 . . . 2.4704E-4 44 . . . 2.4759E-4 45 . . . 2.4813E-4 46 . . . 2.4867E-4 47 . . . 2.4922E-4 48 . . . 2.4977E-4 49 . . . 2.5033E-4 50 . . . 2.5090E-4 51 . . . 2.5148E-4 52 . . . 2.5207E-4 53 . . . 2.5268E-4 54 . . . 2.5330E-4 55 . . . 2.5394E-4 56 . . . 2.5460E-4 57 . . . 2.5528E-4 58 . . . 2.5599E-4 59 . . . 2.5674E-4 60 . . . 2.5753E-4 ---- EQU TATMEQ Temperature-climate equation for atmosphere LOWER LEVEL UPPER MARGINAL 2 . . . -732.336 3 . . . -669.615 4 . . . -591.765 5 . . . -510.294 6 . . . -432.039 7 . . . -360.650 8 . . . -297.710 9 . . . -243.523 10 . . . -197.659 11 . . . -159.307 12 . . . -127.493 13 . . . -101.449 14 . . . -80.323 15 . . . -63.297 16 . . . -49.641 17 . . . -38.732 18 . . . -30.045 19 . . . -23.152 20 . . . -17.709 21 . . . -13.447 22 . . . -10.164 23 . . . -7.673 24 . . . -5.797 25 . . . -4.387 26 . . . -3.326 27 . . . -2.525 28 . . . -1.916 29 . . . -1.451 30 . . . -1.103 31 . . . -0.851 32 . . . -0.643 33 . . . -0.490 34 . . . -0.383 35 . . . -0.292 36 . . . -0.222 37 . . . -0.167 38 . . . -0.129 39 . . . -0.102 40 . . . -0.083 41 . . . -0.072 42 . . . -0.064 43 . . . -0.060 44 . . . -0.049 45 . . . -0.018 46 . . . -0.019 47 . . . -0.018 48 . . . -0.015 49 . . . -0.012 50 . . . -0.018 51 . . . -0.011 52 . . . -0.010 53 . . . -0.011 54 . . . -0.011 55 . . . -0.011 56 . . . -0.011 57 . . . -0.012 58 . . . -0.004 59 . . . -0.003 60 . . . -0.002 ---- EQU TATM0EQ Initial condition for atmospheric temperature LOWER LEVEL UPPER MARGINAL 1 0.731 0.731 0.731 -762.010 ---- EQU TOCEANEQ Temperature-climate equation for lower oceans LOWER LEVEL UPPER MARGINAL 2 . . . -219.483 3 . . . -184.514 4 . . . -153.113 5 . . . -125.719 6 . . . -102.321 7 . . . -82.651 8 . . . -66.318 9 . . . -52.890 10 . . . -41.941 11 . . . -33.081 12 . . . -25.965 13 . . . -20.283 14 . . . -15.770 15 . . . -12.203 16 . . . -9.396 17 . . . -7.200 18 . . . -5.492 19 . . . -4.172 20 . . . -3.162 21 . . . -2.394 22 . . . -1.814 23 . . . -1.376 24 . . . -1.046 25 . . . -0.796 26 . . . -0.607 27 . . . -0.463 28 . . . -0.354 29 . . . -0.272 30 . . . -0.210 31 . . . -0.162 32 . . . -0.126 33 . . . -0.098 34 . . . -0.077 35 . . . -0.061 36 . . . -0.048 37 . . . -0.039 38 . . . -0.032 39 . . . -0.027 40 . . . -0.023 41 . . . -0.019 42 . . . -0.015 43 . . . -0.012 44 . . . -0.009 45 . . . -0.009 46 . . . -0.008 47 . . . -0.007 48 . . . -0.006 49 . . . -0.006 50 . . . -0.005 51 . . . -0.004 52 . . . -0.004 53 . . . -0.003 54 . . . -0.003 55 . . . -0.002 56 . . . -0.001 57 . . . -6.304E-4 58 . . . -3.589E-4 59 . . . -1.372E-4 60 . . . EPS ---- EQU TOCEAN0EQ Initial condition for lower ocean temperature LOWER LEVEL UPPER MARGINAL 1 0.007 0.007 0.007 -256.843 ---- 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 0.005 231.137 2 . 0.159 1.000 . 3 . 0.185 1.000 . 4 . 0.212 1.000 . 5 . 0.240 1.000 . 6 . 0.269 1.000 . 7 . 0.300 1.000 . 8 . 0.333 1.000 . 9 . 0.368 1.000 . 10 . 0.404 1.000 . 11 . 0.443 1.000 . 12 . 0.484 1.000 . 13 . 0.528 1.000 . 14 . 0.574 1.000 . 15 . 0.624 1.000 . 16 . 0.677 1.000 . 17 . 0.734 1.000 . 18 . 0.795 1.000 . 19 . 0.861 1.000 . 20 . 0.929 1.000 . 21 . 1.000 1.000 0.075 22 . 1.000 1.000 1.491 23 . 1.000 1.000 2.253 24 . 1.000 1.000 2.595 25 . 1.000 1.000 2.672 26 . 1.000 1.000 2.590 27 . 1.000 1.000 2.413 28 . 1.000 1.000 2.198 29 . 1.000 1.000 1.980 30 . 1.000 1.000 1.755 31 . 1.000 1.000 1.488 32 . 1.000 1.000 1.301 33 . 1.000 1.000 1.123 34 . 1.000 1.000 0.922 35 . 1.000 1.000 0.781 36 . 1.000 1.000 0.655 37 . 1.000 1.000 0.560 38 . 1.000 1.000 0.470 39 . 1.000 1.000 0.390 40 . 1.000 1.000 0.322 41 . 1.000 1.000 0.255 42 . 1.000 1.000 0.197 43 . 1.000 1.000 0.126 44 . 1.000 1.000 0.045 45 . 1.000 1.000 0.031 46 . 0.914 1.000 . 47 . 1.000 1.000 0.005 48 . 0.922 1.000 . 49 . 0.898 1.000 . 50 . 0.869 1.000 . 51 . 0.895 1.000 . 52 . 0.682 1.000 . 53 . 0.983 1.000 . 54 . 0.973 1.000 . 55 . 0.991 1.000 . 56 . 1.000 1.000 0.001 57 . . 1.000 7.2052E-4 58 . 0.990 1.000 . 59 . 0.557 1.000 . 60 . 0.941 1.000 . ---- VAR FORC Radiative forcing in watts per m2 LOWER LEVEL UPPER MARGINAL 1 -INF 1.791 +INF . 2 -INF 2.143 +INF . 3 -INF 2.453 +INF . 4 -INF 2.757 +INF . 5 -INF 3.050 +INF . 6 -INF 3.330 +INF . 7 -INF 3.597 +INF . 8 -INF 3.851 +INF . 9 -INF 4.091 +INF . 10 -INF 4.316 +INF . 11 -INF 4.527 +INF . 12 -INF 4.686 +INF . 13 -INF 4.827 +INF . 14 -INF 4.948 +INF . 15 -INF 5.046 +INF . 16 -INF 5.116 +INF . 17 -INF 5.154 +INF . 18 -INF 5.152 +INF . 19 -INF 5.100 +INF . 20 -INF 4.989 +INF . 21 -INF 4.802 +INF . 22 -INF 4.594 +INF . 23 -INF 4.420 +INF . 24 -INF 4.273 +INF . 25 -INF 4.145 +INF . 26 -INF 4.031 +INF . 27 -INF 3.928 +INF . 28 -INF 3.833 +INF . 29 -INF 3.744 +INF . 30 -INF 3.660 +INF . 31 -INF 3.579 +INF . 32 -INF 3.502 +INF . 33 -INF 3.428 +INF . 34 -INF 3.355 +INF . 35 -INF 3.285 +INF . 36 -INF 3.217 +INF . 37 -INF 3.150 +INF . 38 -INF 3.085 +INF . 39 -INF 3.021 +INF . 40 -INF 2.959 +INF . 41 -INF 2.899 +INF . 42 -INF 2.840 +INF . 43 -INF 2.782 +INF . 44 -INF 2.726 +INF . 45 -INF 2.671 +INF . 46 -INF 3.142 +INF . 47 -INF 3.489 +INF . 48 -INF 3.656 +INF . 49 -INF 4.166 +INF . 50 -INF 4.834 +INF . 51 -INF 5.676 +INF . 52 -INF 7.521 +INF . 53 -INF 8.371 +INF . 54 -INF 7.857 +INF . 55 -INF 7.426 +INF . 56 -INF 7.010 +INF . 57 -INF 7.639 +INF . 58 -INF 8.138 +INF . 59 -INF 8.671 +INF . 60 -INF 5.540 +INF . ---- VAR TATM Temperature of atmosphere in degrees C LOWER LEVEL UPPER MARGINAL 1 . 0.731 20.000 . 2 . 0.951 20.000 . 3 . 1.166 20.000 . 4 . 1.376 20.000 . 5 . 1.582 20.000 . 6 . 1.783 20.000 . 7 . 1.978 20.000 . 8 . 2.166 20.000 . 9 . 2.348 20.000 . 10 . 2.522 20.000 . 11 . 2.689 20.000 . 12 . 2.840 20.000 . 13 . 2.976 20.000 . 14 . 3.098 20.000 . 15 . 3.207 20.000 . 16 . 3.301 20.000 . 17 . 3.377 20.000 . 18 . 3.434 20.000 . 19 . 3.466 20.000 . 20 . 3.470 20.000 . 21 . 3.438 20.000 . 22 . 3.377 20.000 . 23 . 3.304 20.000 . 24 . 3.229 20.000 . 25 . 3.157 20.000 . 26 . 3.089 20.000 . 27 . 3.025 20.000 . 28 . 2.966 20.000 . 29 . 2.910 20.000 . 30 . 2.858 20.000 . 31 . 2.809 20.000 . 32 . 2.761 20.000 . 33 . 2.715 20.000 . 34 . 2.671 20.000 . 35 . 2.628 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 . 2.312 20.000 . 47 . 2.440 20.000 . 48 . 2.560 20.000 . 49 . 2.751 20.000 . 50 . 3.024 20.000 . 51 . 3.389 20.000 . 52 . 4.037 20.000 . 53 . 4.651 20.000 . 54 . 4.946 20.000 . 55 . 5.051 20.000 . 56 . 5.036 20.000 . 57 . 5.172 20.000 . 58 . 5.378 20.000 . 59 . 5.637 20.000 . 60 . 5.126 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 0.348 20.000 . 8 -1.000 0.430 20.000 . 9 -1.000 0.517 20.000 . 10 -1.000 0.608 20.000 . 11 -1.000 0.704 20.000 . 12 -1.000 0.803 20.000 . 13 -1.000 0.905 20.000 . 14 -1.000 1.009 20.000 . 15 -1.000 1.113 20.000 . 16 -1.000 1.218 20.000 . 17 -1.000 1.322 20.000 . 18 -1.000 1.425 20.000 . 19 -1.000 1.525 20.000 . 20 -1.000 1.622 20.000 . 21 -1.000 1.715 20.000 . 22 -1.000 1.801 20.000 . 23 -1.000 1.880 20.000 . 24 -1.000 1.951 20.000 . 25 -1.000 2.015 20.000 . 26 -1.000 2.072 20.000 . 27 -1.000 2.123 20.000 . 28 -1.000 2.168 20.000 . 29 -1.000 2.208 20.000 . 30 -1.000 2.243 20.000 . 31 -1.000 2.274 20.000 . 32 -1.000 2.300 20.000 . 33 -1.000 2.323 20.000 . 34 -1.000 2.343 20.000 . 35 -1.000 2.359 20.000 . 36 -1.000 2.373 20.000 . 37 -1.000 2.383 20.000 . 38 -1.000 2.391 20.000 . 39 -1.000 2.397 20.000 . 40 -1.000 2.400 20.000 . 41 -1.000 2.401 20.000 . 42 -1.000 2.401 20.000 . 43 -1.000 2.398 20.000 . 44 -1.000 2.393 20.000 . 45 -1.000 2.387 20.000 . 46 -1.000 2.379 20.000 . 47 -1.000 2.376 20.000 . 48 -1.000 2.379 20.000 . 49 -1.000 2.388 20.000 . 50 -1.000 2.407 20.000 . 51 -1.000 2.437 20.000 . 52 -1.000 2.485 20.000 . 53 -1.000 2.563 20.000 . 54 -1.000 2.667 20.000 . 55 -1.000 2.781 20.000 . 56 -1.000 2.894 20.000 . 57 -1.000 3.001 20.000 . 58 -1.000 3.110 20.000 . 59 -1.000 3.223 20.000 . 60 -1.000 3.344 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 10.000 907.851 +INF 2.0011E-5 4 10.000 954.103 +INF 2.1854E-5 5 10.000 1000.969 +INF 1.9608E-5 6 10.000 1047.856 +INF 2.1342E-5 7 10.000 1094.346 +INF 2.2270E-5 8 10.000 1140.110 +INF 2.3368E-5 9 10.000 1184.839 +INF 2.2761E-5 10 10.000 1228.197 +INF 2.3346E-5 11 10.000 1269.785 +INF 2.4316E-5 12 10.000 1309.111 +INF 2.6062E-5 13 10.000 1345.545 +INF 2.6236E-5 14 10.000 1378.283 +INF 2.7979E-5 15 10.000 1406.319 +INF 2.9945E-5 16 10.000 1428.402 +INF 3.1439E-5 17 10.000 1443.001 +INF 3.7704E-5 18 10.000 1448.257 +INF 4.0155E-5 19 10.000 1441.919 +INF 4.5722E-5 20 10.000 1421.305 +INF 1.8530E-4 21 10.000 1384.119 +INF . 22 10.000 1327.615 +INF . 23 10.000 1282.808 +INF . 24 10.000 1246.304 +INF . 25 10.000 1215.741 +INF . 26 10.000 1189.475 +INF . 27 10.000 1166.358 +INF . 28 10.000 1145.588 +INF . 29 10.000 1126.605 +INF . 30 10.000 1109.013 +INF . 31 10.000 1092.534 +INF . 32 10.000 1076.968 +INF . 33 10.000 1062.175 +INF . 34 10.000 1048.050 +INF . 35 10.000 1034.518 +INF . 36 10.000 1021.522 +INF . 37 10.000 1009.018 +INF . 38 10.000 996.973 +INF . 39 10.000 985.359 +INF . 40 10.000 974.153 +INF . 41 10.000 963.336 +INF . 42 10.000 952.891 +INF . 43 10.000 942.803 +INF . 44 10.000 933.057 +INF . 45 10.000 923.642 +INF . 46 10.000 914.546 +INF . 47 10.000 1088.631 +INF -9.906E-6 48 10.000 1045.522 +INF . 49 10.000 1154.436 +INF 1.9118E-6 50 10.000 1260.193 +INF -3.402E-6 51 10.000 1467.104 +INF 2.7597E-6 52 10.000 1713.122 +INF 5.2363E-6 53 10.000 2739.318 +INF 5.1544E-6 54 10.000 2459.471 +INF 4.2406E-6 55 10.000 2274.705 +INF 2.5906E-6 56 10.000 2101.244 +INF . 57 10.000 1955.100 +INF . 58 10.000 2594.003 +INF . 59 10.000 2389.021 +INF -3.064E-7 60 10.000 3102.281 +INF . ---- VAR MATAV Average concentrations LOWER LEVEL UPPER MARGINAL 1 . 836.004 +INF . 2 . 885.479 +INF . 3 . 930.977 +INF . 4 . 977.536 +INF . 5 . 1024.413 +INF . 6 . 1071.101 +INF . 7 . 1117.228 +INF . 8 . 1162.474 +INF . 9 . 1206.518 +INF . 10 . 1248.991 +INF . 11 . 1289.448 +INF . 12 . 1327.328 +INF . 13 . 1361.914 +INF . 14 . 1392.301 +INF . 15 . 1417.360 +INF . 16 . 1435.702 +INF . 17 . 1445.629 +INF . 18 . 1445.088 +INF . 19 . 1431.612 +INF . 20 . 1402.712 +INF . 21 . 1355.867 +INF . 22 . 1305.212 +INF . 23 . 1264.556 +INF . 24 . 1231.022 +INF . 25 . 1202.608 +INF . 26 . 1177.916 +INF . 27 . 1155.973 +INF . 28 . 1136.097 +INF . 29 . 1117.809 +INF . 30 . 1100.774 +INF . 31 . 1084.751 +INF . 32 . 1069.571 +INF . 33 . 1055.112 +INF . 34 . 1041.284 +INF . 35 . 1028.020 +INF . 36 . 1015.270 +INF . 37 . 1002.996 +INF . 38 . 991.166 +INF . 39 . 979.756 +INF . 40 . 968.745 +INF . 41 . 958.114 +INF . 42 . 947.847 +INF . 43 . 937.930 +INF . 44 . 928.350 +INF . 45 . 919.094 +INF . 46 . 1001.588 +INF . 47 . 1067.077 +INF . 48 . 1099.979 +INF . 49 . 1207.315 +INF . 50 . 1363.648 +INF . 51 . 1590.113 +INF . 52 . 2226.220 +INF . 53 . 2599.395 +INF . 54 . 2367.088 +INF . 55 . 2187.975 +INF . 56 . 2028.172 +INF . 57 . 2274.551 +INF . 58 . 2491.512 +INF . 59 . 2745.651 +INF . 60 . 1551.141 +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 1348.673 +INF . 5 100.000 1388.067 +INF . 6 100.000 1430.565 +INF . 7 100.000 1475.719 +INF . 8 100.000 1523.070 +INF . 9 100.000 1572.164 +INF . 10 100.000 1622.555 +INF . 11 100.000 1673.801 +INF . 12 100.000 1725.449 +INF . 13 100.000 1777.018 +INF . 14 100.000 1827.980 +INF . 15 100.000 1877.735 +INF . 16 100.000 1925.575 +INF . 17 100.000 1970.665 +INF . 18 100.000 2011.999 +INF . 19 100.000 2048.369 +INF . 20 100.000 2078.316 +INF . 21 100.000 2100.089 +INF . 22 100.000 2111.759 +INF . 23 100.000 2111.160 +INF . 24 100.000 2102.313 +INF . 25 100.000 2088.003 +INF . 26 100.000 2070.158 +INF . 27 100.000 2050.108 +INF . 28 100.000 2028.771 +INF . 29 100.000 2006.778 +INF . 30 100.000 1984.558 +INF . 31 100.000 1962.406 +INF . 32 100.000 1940.517 +INF . 33 100.000 1919.023 +INF . 34 100.000 1898.007 +INF . 35 100.000 1877.522 +INF . 36 100.000 1857.598 +INF . 37 100.000 1838.251 +INF . 38 100.000 1819.486 +INF . 39 100.000 1801.300 +INF . 40 100.000 1783.686 +INF . 41 100.000 1766.635 +INF . 42 100.000 1750.134 +INF . 43 100.000 1734.169 +INF . 44 100.000 1718.727 +INF . 45 100.000 1703.792 +INF . 46 100.000 1689.350 +INF . 47 100.000 1675.386 +INF . 48 100.000 1696.501 +INF . 49 100.000 1706.417 +INF . 50 100.000 1735.561 +INF . 51 100.000 1780.506 +INF . 52 100.000 1858.078 +INF . 53 100.000 1970.883 +INF . 54 100.000 2261.425 +INF . 55 100.000 2456.336 +INF . 56 100.000 2587.739 +INF . 57 100.000 2667.152 +INF . 58 100.000 2707.418 +INF . 59 100.000 2862.914 +INF . 60 100.000 2956.944 +INF -5.150E-6 ---- 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 18395.644 +INF . 6 1000.000 18407.679 +INF . 7 1000.000 18421.802 +INF . 8 1000.000 18438.138 +INF . 9 1000.000 18456.791 +INF . 10 1000.000 18477.840 +INF . 11 1000.000 18501.343 +INF . 12 1000.000 18527.335 +INF . 13 1000.000 18555.829 +INF . 14 1000.000 18586.812 +INF . 15 1000.000 18620.247 +INF . 16 1000.000 18656.065 +INF . 17 1000.000 18694.163 +INF . 18 1000.000 18734.397 +INF . 19 1000.000 18776.572 +INF . 20 1000.000 18820.435 +INF . 21 1000.000 18865.658 +INF . 22 1000.000 18911.828 +INF . 23 1000.000 18958.438 +INF . 24 1000.000 19004.873 +INF . 25 1000.000 19050.720 +INF . 26 1000.000 19095.709 +INF . 27 1000.000 19139.666 +INF . 28 1000.000 19182.483 +INF . 29 1000.000 19224.099 +INF . 30 1000.000 19264.486 +INF . 31 1000.000 19303.636 +INF . 32 1000.000 19341.557 +INF . 33 1000.000 19378.264 +INF . 34 1000.000 19413.783 +INF . 35 1000.000 19448.140 +INF . 36 1000.000 19481.365 +INF . 37 1000.000 19513.491 +INF . 38 1000.000 19544.549 +INF . 39 1000.000 19574.573 +INF . 40 1000.000 19603.593 +INF . 41 1000.000 19631.642 +INF . 42 1000.000 19658.751 +INF . 43 1000.000 19684.950 +INF . 44 1000.000 19710.269 +INF . 45 1000.000 19734.738 +INF . 46 1000.000 19758.383 +INF . 47 1000.000 19781.233 +INF . 48 1000.000 19803.313 +INF . 49 1000.000 19826.379 +INF . 50 1000.000 19849.870 +INF . 51 1000.000 19874.745 +INF . 52 1000.000 19901.789 +INF . 53 1000.000 19932.628 +INF . 54 1000.000 19969.011 +INF . 55 1000.000 20019.807 +INF . 56 1000.000 20080.190 +INF . 57 1000.000 20146.956 +INF . 58 1000.000 20217.484 +INF . 59 1000.000 20289.805 +INF . 60 1000.000 20369.675 +INF -2.575E-4 ---- VAR E CO2-equivalent emissions GtC LOWER LEVEL UPPER MARGINAL 1 . 85.320 +INF . 2 . 83.624 +INF . 3 . 90.478 +INF . 4 . 96.358 +INF . 5 . 101.419 +INF . 6 . 105.767 +INF . 7 . 109.451 +INF . 8 . 112.476 +INF . 9 . 114.799 +INF . 10 . 116.337 +INF . 11 . 116.965 +INF . 12 . 116.497 +INF . 13 . 114.685 +INF . 14 . 111.224 +INF . 15 . 105.742 +INF . 16 . 97.787 +INF . 17 . 86.824 +INF . 18 . 72.207 +INF . 19 . 53.195 +INF . 20 . 29.810 +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 . 0.119 +INF . 45 . 0.107 +INF . 46 . 182.971 +INF . 47 . 0.086 +INF . 48 . 141.897 +INF . 49 . 158.391 +INF . 50 . 276.731 +INF . 51 . 350.635 +INF . 52 . 1169.840 +INF . 53 . 47.077 +INF . 54 . 60.943 +INF . 55 . 18.325 +INF . 56 . 0.033 +INF . 57 . 749.698 +INF . 58 . 22.835 +INF . 59 . 887.161 +INF . 60 . 91.376 +INF 5.2223E-7 ---- VAR C Consumption trillions US dollars LOWER LEVEL UPPER MARGINAL 1 20.000 43.099 +INF . 2 20.000 54.632 +INF . 3 20.000 66.896 +INF . 4 20.000 80.047 +INF . 5 20.000 94.270 +INF . 6 20.000 109.768 +INF . 7 20.000 126.760 +INF . 8 20.000 145.481 +INF . 9 20.000 166.174 +INF . 10 20.000 189.103 +INF . 11 20.000 214.545 +INF . 12 20.000 242.816 +INF . 13 20.000 274.249 +INF . 14 20.000 309.199 +INF . 15 20.000 348.054 +INF . 16 20.000 391.236 +INF . 17 20.000 439.218 +INF . 18 20.000 492.531 +INF . 19 20.000 551.804 +INF . 20 20.000 617.867 +INF . 21 20.000 691.649 +INF . 22 20.000 774.773 +INF . 23 20.000 867.707 +INF . 24 20.000 971.016 +INF . 25 20.000 1085.379 +INF . 26 20.000 1211.943 +INF . 27 20.000 1350.897 +INF . 28 20.000 1505.973 +INF . 29 20.000 1685.447 +INF . 30 20.000 1887.756 +INF . 31 20.000 2055.459 +INF . 32 20.000 2307.794 +INF . 33 20.000 2592.311 +INF . 34 20.000 2780.301 +INF . 35 20.000 3091.459 +INF . 36 20.000 3406.398 +INF . 37 20.000 3857.583 +INF . 38 20.000 4270.181 +INF . 39 20.000 4637.208 +INF . 40 20.000 5026.559 +INF . 41 20.000 5198.124 +INF . 42 20.000 5441.692 +INF . 43 20.000 5020.769 +INF . 44 20.000 4508.976 +INF . 45 20.000 12909.383 +INF . 46 20.000 8478.962 +INF . 47 20.000 7542.575 +INF . 48 20.000 7739.456 +INF . 49 20.000 6066.218 +INF . 50 20.000 6300.563 +INF . 51 20.000 11963.061 +INF . 52 20.000 16379.897 +INF . 53 20.000 12517.954 +INF . 54 20.000 10189.096 +INF . 55 20.000 9102.991 +INF . 56 20.000 7678.724 +INF . 57 20.000 3156.638 +INF . 58 20.000 10601.785 +INF . 59 20.000 9470.600 +INF . 60 20.000 7578.731 +INF . ---- VAR K Capital stock trillions US dollars LOWER LEVEL UPPER MARGINAL 1 100.000 137.000 +INF . 2 100.000 172.607 +INF 6.7762E-7 3 100.000 211.844 +INF 7.2560E-8 4 100.000 254.795 +INF 2.5790E-7 5 100.000 301.798 +INF -5.598E-9 6 100.000 353.402 +INF 5.1738E-9 7 100.000 410.289 +INF 6.9946E-8 8 100.000 473.241 +INF 3.4337E-7 9 100.000 543.118 +INF 1.6887E-7 10 100.000 620.849 +INF -3.539E-8 11 100.000 707.431 +INF -1.400E-7 12 100.000 803.912 +INF -1.306E-7 13 100.000 911.605 +INF 2.1188E-7 14 100.000 1031.909 +INF -1.359E-7 15 100.000 1166.341 +INF 4.3857E-7 16 100.000 1316.573 +INF 5.6597E-7 17 100.000 1484.457 +INF 6.0336E-7 18 100.000 1672.026 +INF 1.1462E-6 19 100.000 1881.427 +INF 2.6782E-7 20 100.000 2114.606 +INF -1.241E-5 21 100.000 2372.466 +INF 1.1727E-5 22 100.000 2654.066 +INF 1.4389E-6 23 100.000 2975.092 +INF 2.2271E-6 24 100.000 3337.939 +INF 3.6395E-6 25 100.000 3746.695 +INF 1.1256E-6 26 100.000 4207.794 +INF -1.098E-5 27 100.000 4727.284 +INF -1.231E-5 28 100.000 5321.092 +INF -3.536E-5 29 100.000 5984.600 +INF -6.613E-5 30 100.000 6639.002 +INF -4.764E-5 31 100.000 7199.839 +INF 6.5840E-5 32 100.000 8132.920 +INF -2.717E-5 33 100.000 8926.172 +INF -1.624E-5 34 100.000 9385.769 +INF 4.8668E-5 35 100.000 10527.585 +INF 5.5842E-6 36 100.000 11647.447 +INF 8.1550E-6 37 100.000 12931.842 +INF -4.785E-6 38 100.000 13346.762 +INF 6.5367E-6 39 100.000 13140.032 +INF 1.3810E-5 40 100.000 12657.054 +INF 1.5787E-5 41 100.000 11643.391 +INF 2.3746E-5 42 100.000 11919.011 +INF 1.9964E-5 43 100.000 14004.823 +INF 2.6208E-5 44 100.000 26559.784 +INF 1.4316E-5 45 100.000 56932.946 +INF -2.781E-5 46 100.000 14858.414 +INF 1.0619E-5 47 100.000 8584.359 +INF 1.5638E-5 48 100.000 6816.986 +INF 1.4991E-5 49 100.000 3457.338 +INF . 50 100.000 8297.015 +INF 1.6010E-5 51 100.000 32938.606 +INF -3.875E-6 52 100.000 39987.439 +INF -4.267E-7 53 100.000 14580.574 +INF 2.3989E-6 54 100.000 6304.757 +INF 6.1679E-6 55 100.000 3526.768 +INF 1.0674E-5 56 100.000 1607.188 +INF . 57 100.000 100.000 +INF 9.6258E-4 58 100.000 3535.586 +INF -2.575E-6 59 100.000 2013.537 +INF . 60 100.000 761.828 +INF . ---- VAR CPC Per capita consumption thousands US dollars LOWER LEVEL UPPER MARGINAL 1 -INF 6.616 +INF . 2 -INF 7.662 +INF . 3 -INF 8.844 +INF . 4 -INF 10.171 +INF . 5 -INF 11.659 +INF . 6 -INF 13.325 +INF . 7 -INF 15.191 +INF . 8 -INF 17.278 +INF . 9 -INF 19.612 +INF . 10 -INF 22.220 +INF . 11 -INF 25.131 +INF . 12 -INF 28.381 +INF . 13 -INF 32.006 +INF . 14 -INF 36.046 +INF . 15 -INF 40.545 +INF . 16 -INF 45.551 +INF . 17 -INF 51.118 +INF . 18 -INF 57.307 +INF . 19 -INF 64.192 +INF . 20 -INF 71.868 +INF . 21 -INF 80.442 +INF . 22 -INF 90.104 +INF . 23 -INF 100.907 +INF . 24 -INF 112.918 +INF . 25 -INF 126.214 +INF . 26 -INF 140.929 +INF . 27 -INF 157.085 +INF . 28 -INF 175.116 +INF . 29 -INF 195.985 +INF . 30 -INF 219.509 +INF . 31 -INF 239.008 +INF . 32 -INF 268.349 +INF . 33 -INF 301.433 +INF . 34 -INF 323.292 +INF . 35 -INF 359.473 +INF . 36 -INF 396.093 +INF . 37 -INF 448.557 +INF . 38 -INF 496.533 +INF . 39 -INF 539.210 +INF . 40 -INF 584.484 +INF . 41 -INF 604.433 +INF . 42 -INF 632.755 +INF . 43 -INF 583.810 +INF . 44 -INF 524.300 +INF . 45 -INF 1501.091 +INF . 46 -INF 985.926 +INF . 47 -INF 877.044 +INF . 48 -INF 899.937 +INF . 49 -INF 705.374 +INF . 50 -INF 732.624 +INF . 51 -INF 1391.054 +INF . 52 -INF 1904.639 +INF . 53 -INF 1455.576 +INF . 54 -INF 1184.779 +INF . 55 -INF 1058.487 +INF . 56 -INF 892.875 +INF . 57 -INF 367.051 +INF . 58 -INF 1232.766 +INF . 59 -INF 1101.233 +INF . 60 -INF 881.248 +INF . ---- VAR PCY Per capita income thousands US dollars LOWER LEVEL UPPER MARGINAL 1 -INF 8.533 +INF . 2 -INF 9.789 +INF . 3 -INF 11.236 +INF . 4 -INF 12.877 +INF . 5 -INF 14.728 +INF . 6 -INF 16.810 +INF . 7 -INF 19.148 +INF . 8 -INF 21.769 +INF . 9 -INF 24.704 +INF . 10 -INF 27.988 +INF . 11 -INF 31.659 +INF . 12 -INF 35.760 +INF . 13 -INF 40.339 +INF . 14 -INF 45.448 +INF . 15 -INF 51.144 +INF . 16 -INF 57.489 +INF . 17 -INF 64.553 +INF . 18 -INF 72.415 +INF . 19 -INF 81.160 +INF . 20 -INF 90.887 +INF . 21 -INF 101.689 +INF . 22 -INF 113.941 +INF . 23 -INF 127.661 +INF . 24 -INF 142.953 +INF . 25 -INF 159.953 +INF . 26 -INF 178.839 +INF . 27 -INF 199.793 +INF . 28 -INF 223.132 +INF . 29 -INF 248.919 +INF . 30 -INF 276.311 +INF . 31 -INF 304.387 +INF . 32 -INF 339.168 +INF . 33 -INF 374.379 +INF . 34 -INF 407.652 +INF . 35 -INF 452.225 +INF . 36 -INF 499.240 +INF . 37 -INF 551.321 +INF . 38 -INF 595.211 +INF . 39 -INF 633.111 +INF . 40 -INF 668.555 +INF . 41 -INF 695.819 +INF . 42 -INF 747.277 +INF . 43 -INF 835.864 +INF . 44 -INF 1078.627 +INF . 45 -INF 1443.034 +INF . 46 -INF 1025.502 +INF . 47 -INF 921.506 +INF . 48 -INF 912.500 +INF . 49 -INF 787.834 +INF . 50 -INF 1081.991 +INF . 51 -INF 1722.478 +INF . 52 -INF 1912.056 +INF . 53 -INF 1469.772 +INF . 54 -INF 1200.226 +INF . 55 -INF 1062.877 +INF . 56 -INF 887.521 +INF . 57 -INF 407.757 +INF . 58 -INF 1241.844 +INF . 59 -INF 1101.927 +INF . 60 -INF 878.159 +INF . ---- VAR I Investment trillions US dollars LOWER LEVEL UPPER MARGINAL 1 -INF 12.484 +INF . 2 -INF 15.166 +INF . 3 -INF 18.093 +INF . 4 -INF 21.296 +INF . 5 -INF 24.817 +INF . 6 -INF 28.707 +INF . 7 -INF 33.018 +INF . 8 -INF 37.811 +INF . 9 -INF 43.148 +INF . 10 -INF 49.095 +INF . 11 -INF 55.725 +INF . 12 -INF 63.130 +INF . 13 -INF 71.405 +INF . 14 -INF 80.654 +INF . 15 -INF 90.990 +INF . 16 -INF 102.540 +INF . 17 -INF 115.443 +INF . 18 -INF 129.843 +INF . 19 -INF 145.859 +INF . 20 -INF 163.515 +INF . 21 -INF 182.684 +INF . 22 -INF 204.968 +INF . 23 -INF 230.059 +INF . 24 -INF 258.283 +INF . 25 -INF 290.140 +INF . 26 -INF 326.012 +INF . 27 -INF 367.279 +INF . 28 -INF 412.925 +INF . 29 -INF 455.230 +INF . 30 -INF 488.496 +INF . 31 -INF 562.249 +INF . 32 -INF 609.040 +INF . 33 -INF 627.341 +INF . 34 -INF 725.497 +INF . 35 -INF 797.671 +INF . 36 -INF 887.063 +INF . 37 -INF 883.771 +INF . 38 -INF 848.630 +INF . 39 -INF 807.541 +INF . 40 -INF 723.015 +INF . 41 -INF 785.921 +INF . 42 -INF 984.892 +INF . 43 -INF 2167.660 +INF . 44 -INF 4767.212 +INF . 45 -INF -499.288 +INF . 46 -INF 340.355 +INF . 47 -INF 382.381 +INF . 48 -INF 108.040 +INF . 49 -INF 709.152 +INF . 50 -INF 3004.562 +INF . 51 -INF 2850.246 +INF . 52 -INF 63.782 +INF . 53 -INF 122.082 +INF . 54 -INF 132.844 +INF . 55 -INF 37.748 +INF . 56 -INF -46.039 +INF . 57 -INF 350.072 +INF . 58 -INF 78.075 +INF . 59 -INF 5.975 +INF . 60 -INF -26.563 +INF . ---- VAR S Gross savings rate as fraction of gross world product LOWER LEVEL UPPER MARGINAL 1 -INF 0.225 +INF . 2 -INF 0.217 +INF . 3 -INF 0.213 +INF . 4 -INF 0.210 +INF . 5 -INF 0.208 +INF . 6 -INF 0.207 +INF . 7 -INF 0.207 +INF . 8 -INF 0.206 +INF . 9 -INF 0.206 +INF . 10 -INF 0.206 +INF . 11 -INF 0.206 +INF . 12 -INF 0.206 +INF . 13 -INF 0.207 +INF . 14 -INF 0.207 +INF . 15 -INF 0.207 +INF . 16 -INF 0.208 +INF . 17 -INF 0.208 +INF . 18 -INF 0.209 +INF . 19 -INF 0.209 +INF . 20 -INF 0.209 +INF . 21 -INF 0.209 +INF . 22 -INF 0.209 +INF . 23 -INF 0.210 +INF . 24 -INF 0.210 +INF . 25 -INF 0.211 +INF . 26 -INF 0.212 +INF . 27 -INF 0.214 +INF . 28 -INF 0.215 +INF . 29 -INF 0.213 +INF . 30 -INF 0.206 +INF . 31 -INF 0.215 +INF . 32 -INF 0.209 +INF . 33 -INF 0.195 +INF . 34 -INF 0.207 +INF . 35 -INF 0.205 +INF . 36 -INF 0.207 +INF . 37 -INF 0.186 +INF . 38 -INF 0.166 +INF . 39 -INF 0.148 +INF . 40 -INF 0.126 +INF . 41 -INF 0.131 +INF . 42 -INF 0.153 +INF . 43 -INF 0.302 +INF . 44 -INF 0.514 +INF . 45 -INF -0.040 +INF . 46 -INF 0.039 +INF . 47 -INF 0.048 +INF . 48 -INF 0.014 +INF . 49 -INF 0.105 +INF . 50 -INF 0.323 +INF . 51 -INF 0.192 +INF . 52 -INF 0.004 +INF . 53 -INF 0.010 +INF . 54 -INF 0.013 +INF . 55 -INF 0.004 +INF . 56 -INF -0.006 +INF . 57 -INF 0.100 +INF . 58 -INF 0.007 +INF . 59 -INF 6.3052E-4 +INF . 60 -INF -0.004 +INF . ---- VAR RI Real interest rate per annum LOWER LEVEL UPPER MARGINAL 1 -INF 0.057 +INF . 2 -INF 0.056 +INF . 3 -INF 0.055 +INF . 4 -INF 0.054 +INF . 5 -INF 0.053 +INF . 6 -INF 0.052 +INF . 7 -INF 0.052 +INF . 8 -INF 0.051 +INF . 9 -INF 0.050 +INF . 10 -INF 0.050 +INF . 11 -INF 0.049 +INF . 12 -INF 0.049 +INF . 13 -INF 0.049 +INF . 14 -INF 0.048 +INF . 15 -INF 0.048 +INF . 16 -INF 0.047 +INF . 17 -INF 0.047 +INF . 18 -INF 0.047 +INF . 19 -INF 0.046 +INF . 20 -INF 0.046 +INF . 21 -INF 0.045 +INF . 22 -INF 0.046 +INF . 23 -INF 0.046 +INF . 24 -INF 0.045 +INF . 25 -INF 0.045 +INF . 26 -INF 0.045 +INF . 27 -INF 0.044 +INF . 28 -INF 0.043 +INF . 29 -INF 0.042 +INF . 30 -INF 0.042 +INF . 31 -INF 0.044 +INF . 32 -INF 0.042 +INF . 33 -INF 0.043 +INF . 34 -INF 0.047 +INF . 35 -INF 0.046 +INF . 36 -INF 0.045 +INF . 37 -INF 0.045 +INF . 38 -INF 0.050 +INF . 39 -INF 0.059 +INF . 40 -INF 0.071 +INF . 41 -INF 0.089 +INF . 42 -INF 0.097 +INF . 43 -INF 0.089 +INF . 44 -INF 0.040 +INF . 45 -INF 2.6106E-4 +INF . 46 -INF 0.113 +INF . 47 -INF 0.212 +INF . 48 -INF 0.280 +INF . 49 -INF 0.523 +INF . 50 -INF 0.271 +INF . 51 -INF 0.070 +INF . 52 -INF 0.058 +INF . 53 -INF 0.195 +INF . 54 -INF 0.426 +INF . 55 -INF 0.712 +INF . 56 -INF 1.360 +INF . 57 -INF 10.455 +INF . 58 -INF 0.841 +INF . 59 -INF 1.347 +INF . 60 -INF 2.909 +INF . ---- VAR Y Gross world product net of abatement and damages LOWER LEVEL UPPER MARGINAL 1 . 55.583 +INF . 2 . 69.798 +INF . 3 . 84.989 +INF . 4 . 101.343 +INF . 5 . 119.087 +INF . 6 . 138.474 +INF . 7 . 159.779 +INF . 8 . 183.292 +INF . 9 . 209.322 +INF . 10 . 238.198 +INF . 11 . 270.269 +INF . 12 . 305.946 +INF . 13 . 345.654 +INF . 14 . 389.853 +INF . 15 . 439.044 +INF . 16 . 493.776 +INF . 17 . 554.660 +INF . 18 . 622.373 +INF . 19 . 697.663 +INF . 20 . 781.382 +INF . 21 . 874.333 +INF . 22 . 979.741 +INF . 23 . 1097.766 +INF . 24 . 1229.299 +INF . 25 . 1375.519 +INF . 26 . 1537.955 +INF . 27 . 1718.176 +INF . 28 . 1918.898 +INF . 29 . 2140.677 +INF . 30 . 2376.252 +INF . 31 . 2617.708 +INF . 32 . 2916.834 +INF . 33 . 3219.652 +INF . 34 . 3505.798 +INF . 35 . 3889.130 +INF . 36 . 4293.460 +INF . 37 . 4741.354 +INF . 38 . 5118.812 +INF . 39 . 5444.749 +INF . 40 . 5749.574 +INF . 41 . 5984.045 +INF . 42 . 6426.584 +INF . 43 . 7188.429 +INF . 44 . 9276.188 +INF . 45 . 12410.095 +INF . 46 . 8819.317 +INF . 47 . 7924.955 +INF . 48 . 7847.496 +INF . 49 . 6775.370 +INF 7.6532E-5 50 . 9305.124 +INF . 51 . 14813.307 +INF . 52 . 16443.678 +INF . 53 . 12640.036 +INF . 54 . 10321.939 +INF . 55 . 9140.739 +INF . 56 . 7632.685 +INF . 57 . 3506.710 +INF . 58 . 10679.860 +INF . 59 . 9476.575 +INF . 60 . 7552.168 +INF . ---- VAR YGROSS Gross world product GROSS of abatement and damages LOWER LEVEL UPPER MARGINAL 1 . 55.667 +INF . 2 . 69.998 +INF . 3 . 85.352 +INF . 4 . 101.944 +INF . 5 . 120.019 +INF . 6 . 139.852 +INF . 7 . 161.738 +INF . 8 . 185.997 +INF . 9 . 212.967 +INF . 10 . 243.010 +INF . 11 . 276.515 +INF . 12 . 313.895 +INF . 13 . 355.618 +INF . 14 . 402.187 +INF . 15 . 454.148 +INF . 16 . 512.093 +INF . 17 . 576.670 +INF . 18 . 648.585 +INF . 19 . 728.594 +INF . 20 . 817.473 +INF . 21 . 915.923 +INF . 22 . 1024.477 +INF . 23 . 1145.647 +INF . 24 . 1280.455 +INF . 25 . 1430.171 +INF . 26 . 1596.393 +INF . 27 . 1780.732 +INF . 28 . 1985.969 +INF . 29 . 2212.633 +INF . 30 . 2453.180 +INF . 31 . 2699.430 +INF . 32 . 3004.736 +INF . 33 . 3313.392 +INF . 34 . 3604.478 +INF . 35 . 3995.020 +INF . 36 . 4406.588 +INF . 37 . 4862.297 +INF . 38 . 5245.257 +INF . 39 . 5575.031 +INF . 40 . 5882.871 +INF . 41 . 6118.493 +INF . 42 . 6566.544 +INF . 43 . 7340.207 +INF . 44 . 9466.114 +INF . 45 . 12656.536 +INF . 46 . 8991.329 +INF . 47 . 8102.123 +INF . 48 . 8026.927 +INF . 49 . 6947.249 +INF . 50 . 9579.042 +INF . 51 . 15351.523 +INF . 52 . 17232.702 +INF . 53 . 13476.892 +INF . 54 . 11086.292 +INF . 55 . 9846.398 +INF . 56 . 8218.934 +INF 1.6120E-5 57 . 3772.957 +INF . 58 . 11605.520 +INF . 59 . 10339.956 +INF 6.6267E-6 60 . 8144.332 +INF 9.2935E-6 ---- VAR YNET Output net of damages equation LOWER LEVEL UPPER MARGINAL 1 -INF 55.583 +INF . 2 -INF 69.819 +INF . 3 -INF 85.024 +INF . 4 -INF 101.399 +INF . 5 -INF 119.173 +INF . 6 -INF 138.601 +INF . 7 -INF 159.962 +INF . 8 -INF 183.552 +INF . 9 -INF 209.685 +INF . 10 -INF 238.699 +INF . 11 -INF 270.953 +INF . 12 -INF 306.871 +INF . 13 -INF 346.898 +INF . 14 -INF 391.517 +INF . 15 -INF 441.264 +INF . 16 -INF 496.730 +INF . 17 -INF 558.583 +INF . 18 -INF 627.577 +INF . 19 -INF 704.560 +INF . 20 -INF 790.456 +INF . 21 -INF 886.195 +INF . 22 -INF 992.359 +INF . 23 -INF 1111.210 +INF . 24 -INF 1243.637 +INF . 25 -INF 1390.822 +INF . 26 -INF 1554.300 +INF . 27 -INF 1735.645 +INF . 28 -INF 1937.589 +INF . 29 -INF 2160.681 +INF . 30 -INF 2397.582 +INF . 31 -INF 2640.309 +INF . 32 -INF 2941.087 +INF . 33 -INF 3245.465 +INF . 34 -INF 3532.932 +INF . 35 -INF 3918.220 +INF . 36 -INF 4324.532 +INF . 37 -INF 4774.587 +INF . 38 -INF 5153.598 +INF . 39 -INF 5480.659 +INF . 40 -INF 5786.412 +INF . 41 -INF 6021.327 +INF . 42 -INF 6465.552 +INF . 43 -INF 7230.888 +INF . 44 -INF 9329.606 +INF . 45 -INF 12479.826 +INF . 46 -INF 8856.882 +INF . 47 -INF 7967.452 +INF . 48 -INF 7880.295 +INF . 49 -INF 6801.091 +INF . 50 -INF 9336.638 +INF . 51 -INF 14866.681 +INF . 52 -INF 16470.803 +INF . 53 -INF 12697.213 +INF . 54 -INF 10366.498 +INF . 55 -INF 9181.491 +INF . 56 -INF 7667.008 +INF . 57 -INF 3506.710 +INF . 58 -INF 10725.052 +INF . 59 -INF 9484.434 +INF . 60 -INF 7579.075 +INF . ---- VAR DAMAGES Damages LOWER LEVEL UPPER MARGINAL 1 -INF 0.084 +INF . 2 -INF 0.179 +INF . 3 -INF 0.328 +INF . 4 -INF 0.545 +INF . 5 -INF 0.847 +INF . 6 -INF 1.251 +INF . 7 -INF 1.776 +INF . 8 -INF 2.445 +INF . 9 -INF 3.282 +INF . 10 -INF 4.311 +INF . 11 -INF 5.562 +INF . 12 -INF 7.024 +INF . 13 -INF 8.721 +INF . 14 -INF 10.670 +INF . 15 -INF 12.884 +INF . 16 -INF 15.363 +INF . 17 -INF 18.087 +INF . 18 -INF 21.008 +INF . 19 -INF 24.034 +INF . 20 -INF 27.017 +INF . 21 -INF 29.728 +INF . 22 -INF 32.118 +INF . 23 -INF 34.437 +INF . 24 -INF 36.818 +INF . 25 -INF 39.349 +INF . 26 -INF 42.093 +INF . 27 -INF 45.087 +INF . 28 -INF 48.380 +INF . 29 -INF 51.952 +INF . 30 -INF 55.598 +INF . 31 -INF 59.121 +INF . 32 -INF 63.649 +INF . 33 -INF 67.927 +INF . 34 -INF 71.547 +INF . 35 -INF 76.800 +INF . 36 -INF 82.056 +INF . 37 -INF 87.710 +INF . 38 -INF 91.659 +INF . 39 -INF 94.372 +INF . 40 -INF 96.458 +INF . 41 -INF 97.166 +INF . 42 -INF 100.992 +INF . 43 -INF 109.319 +INF . 44 -INF 136.508 +INF . 45 -INF 176.709 +INF . 46 -INF 134.447 +INF . 47 -INF 134.671 +INF . 48 -INF 146.631 +INF . 49 -INF 146.159 +INF . 50 -INF 242.403 +INF . 51 -INF 484.842 +INF . 52 -INF 761.899 +INF . 53 -INF 779.679 +INF . 54 -INF 719.794 +INF . 55 -INF 664.907 +INF . 56 -INF 551.926 +INF . 57 -INF 266.247 +INF . 58 -INF 880.468 +INF . 59 -INF 855.522 +INF . 60 -INF 565.257 +INF . ---- VAR ABATECOST Cost of emissions reductions LOWER LEVEL UPPER MARGINAL 1 -INF 1.3292E-5 +INF . 2 -INF 0.021 +INF . 3 -INF 0.035 +INF . 4 -INF 0.056 +INF . 5 -INF 0.086 +INF . 6 -INF 0.128 +INF . 7 -INF 0.185 +INF . 8 -INF 0.264 +INF . 9 -INF 0.369 +INF . 10 -INF 0.510 +INF . 11 -INF 0.697 +INF . 12 -INF 0.946 +INF . 13 -INF 1.275 +INF . 14 -INF 1.710 +INF . 15 -INF 2.285 +INF . 16 -INF 3.045 +INF . 17 -INF 4.050 +INF . 18 -INF 5.378 +INF . 19 -INF 7.132 +INF . 20 -INF 9.384 +INF . 21 -INF 12.260 +INF . 22 -INF 13.027 +INF . 23 -INF 13.861 +INF . 24 -INF 14.762 +INF . 25 -INF 15.736 +INF . 26 -INF 16.788 +INF . 27 -INF 17.923 +INF . 28 -INF 19.158 +INF . 29 -INF 20.484 +INF . 30 -INF 21.825 +INF . 31 -INF 23.107 +INF . 32 -INF 24.778 +INF . 33 -INF 26.354 +INF . 34 -INF 27.683 +INF . 35 -INF 29.661 +INF . 36 -INF 31.661 +INF . 37 -INF 33.844 +INF . 38 -INF 35.405 +INF . 39 -INF 36.529 +INF . 40 -INF 37.453 +INF . 41 -INF 37.883 +INF . 42 -INF 39.577 +INF . 43 -INF 43.101 +INF . 44 -INF 54.199 +INF . 45 -INF 70.718 +INF . 46 -INF 38.135 +INF . 47 -INF 43.214 +INF . 48 -INF 33.410 +INF . 49 -INF 26.274 +INF . 50 -INF 32.332 +INF . 51 -INF 55.115 +INF . 52 -INF 28.379 +INF . 53 -INF 60.687 +INF . 54 -INF 47.652 +INF . 55 -INF 43.703 +INF . 56 -INF 36.794 +INF . 57 -INF . +INF . 58 -INF 48.902 +INF . 59 -INF 8.568 +INF . 60 -INF 28.914 +INF . ---- VAR CCA Cumulative industrial carbon emissions GTC LOWER LEVEL UPPER MARGINAL 1 . . 6000.000 . 2 . 85.320 6000.000 . 3 . 168.945 6000.000 . 4 . 259.423 6000.000 . 5 . 355.781 6000.000 . 6 . 457.200 6000.000 . 7 . 562.967 6000.000 . 8 . 672.418 6000.000 . 9 . 784.893 6000.000 . 10 . 899.692 6000.000 . 11 . 1016.030 6000.000 . 12 . 1132.995 6000.000 . 13 . 1249.491 6000.000 . 14 . 1364.176 6000.000 . 15 . 1475.400 6000.000 . 16 . 1581.142 6000.000 . 17 . 1678.929 6000.000 . 18 . 1765.753 6000.000 . 19 . 1837.960 6000.000 . 20 . 1891.155 6000.000 . 21 . 1920.965 6000.000 . 22 . 1922.303 6000.000 . 23 . 1923.506 6000.000 . 24 . 1924.590 6000.000 . 25 . 1925.564 6000.000 . 26 . 1926.442 6000.000 . 27 . 1927.232 6000.000 . 28 . 1927.942 6000.000 . 29 . 1928.582 6000.000 . 30 . 1929.158 6000.000 . 31 . 1929.676 6000.000 . 32 . 1930.142 6000.000 . 33 . 1930.562 6000.000 . 34 . 1930.939 6000.000 . 35 . 1931.279 6000.000 . 36 . 1931.585 6000.000 . 37 . 1931.861 6000.000 . 38 . 1932.108 6000.000 . 39 . 1932.331 6000.000 . 40 . 1932.532 6000.000 . 41 . 1932.713 6000.000 . 42 . 1932.875 6000.000 . 43 . 1933.022 6000.000 . 44 . 1933.153 6000.000 . 45 . 1933.272 6000.000 . 46 . 1933.379 6000.000 . 47 . 2116.350 6000.000 . 48 . 2116.436 6000.000 . 49 . 2258.333 6000.000 . 50 . 2416.724 6000.000 . 51 . 2693.455 6000.000 . 52 . 3044.089 6000.000 . 53 . 4213.930 6000.000 . 54 . 4261.006 6000.000 . 55 . 4321.949 6000.000 . 56 . 4340.274 6000.000 . 57 . 4340.307 6000.000 . 58 . 5090.005 6000.000 . 59 . 5112.839 6000.000 . 60 . 6000.000 6000.000 -1.420E-6 ---- VAR PERIODU One period utility function LOWER LEVEL UPPER MARGINAL 1 -INF -150.141 +INF . 2 -INF -129.511 +INF . 3 -INF -112.073 +INF . 4 -INF -97.317 +INF . 5 -INF -84.771 +INF . 6 -INF -74.045 +INF . 7 -INF -64.829 +INF . 8 -INF -56.877 +INF . 9 -INF -49.989 +INF . 10 -INF -44.005 +INF . 11 -INF -38.791 +INF . 12 -INF -34.235 +INF . 13 -INF -30.244 +INF . 14 -INF -26.742 +INF . 15 -INF -23.664 +INF . 16 -INF -20.954 +INF . 17 -INF -18.563 +INF . 18 -INF -16.450 +INF . 19 -INF -14.578 +INF . 20 -INF -12.914 +INF . 21 -INF -11.431 +INF . 22 -INF -10.098 +INF . 23 -INF -8.910 +INF . 24 -INF -7.856 +INF . 25 -INF -6.923 +INF . 26 -INF -6.096 +INF . 27 -INF -5.366 +INF . 28 -INF -4.710 +INF . 29 -INF -4.102 +INF . 30 -INF -3.556 +INF . 31 -INF -3.184 +INF . 32 -INF -2.726 +INF . 33 -INF -2.317 +INF . 34 -INF -2.093 +INF . 35 -INF -1.782 +INF . 36 -INF -1.525 +INF . 37 -INF -1.229 +INF . 38 -INF -1.014 +INF . 39 -INF -0.855 +INF . 40 -INF -0.711 +INF . 41 -INF -0.654 +INF . 42 -INF -0.580 +INF . 43 -INF -0.713 +INF . 44 -INF -0.907 +INF . 45 -INF 0.334 +INF . 46 -INF -0.014 +INF . 47 -INF -0.140 +INF . 48 -INF -0.111 +INF . 49 -INF -0.418 +INF . 50 -INF -0.365 +INF . 51 -INF 0.281 +INF . 52 -INF 0.475 +INF . 53 -INF 0.313 +INF . 54 -INF 0.156 +INF . 55 -INF 0.055 +INF . 56 -INF -0.120 +INF . 57 -INF -1.724 +INF . 58 -INF 0.189 +INF . 59 -INF 0.092 +INF . 60 -INF -0.135 +INF . LOWER LEVEL UPPER MARGINAL ---- VAR UTILITY -INF 1.5024E+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 00:05:43 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 318 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 = 0.008 SECONDS 3 Mb LEX237-237 Jul 7, 2011 GAMS Rev 237 LEX-LEG 23.7.1 x86_64/Linux 09/14/11 00:05:43 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 318 S O L V E S U M M A R Y MODEL CO2 OBJECTIVE UTILITY TYPE NLP DIRECTION MAXIMIZE SOLVER MINOS FROM LINE 318 **** SOLVER STATUS 1 Normal Completion **** MODEL STATUS 2 Locally Optimal **** OBJECTIVE VALUE 150236.2088 RESOURCE USAGE, LIMIT 0.015 99999.000 ITERATION COUNT, LIMIT 0 99900 EVALUATION ERRORS 0 0 GAMS/MINOS Jul 14, 2011 23.7.1 LEX 26779.26792 LEG x86_64/Linux M I N O S 5.51 (Jun 2004) GAMS/MINOS 5.51, Large Scale Nonlinear Solver B. A. Murtagh, University of New South Wales P. E. Gill, University of California at San Diego, W. Murray, M. A. Saunders, and M. H. Wright, Systems Optimization Laboratory, Stanford University Work space allocated -- 4.03 Mb EXIT - Optimal Solution found, objective: 150236.2 ---- EQU CCTFIRST First period cumulative carbon LOWER LEVEL UPPER MARGINAL 1 . . . 2.7499E-8 ---- EQU CCACCA Cumulative carbon emissions LOWER LEVEL UPPER MARGINAL 2 . . . 2.7499E-8 3 . . . 2.7499E-8 4 . . . 2.7499E-8 5 . . . 2.7499E-8 6 . . . 2.7499E-8 7 . . . 2.7499E-8 8 . . . 2.7499E-8 9 . . . 2.7499E-8 10 . . . 2.7499E-8 11 . . . 2.7499E-8 12 . . . 2.7499E-8 13 . . . 2.7499E-8 14 . . . 2.7499E-8 15 . . . 2.7499E-8 16 . . . 2.7499E-8 17 . . . 2.7499E-8 18 . . . 2.7499E-8 19 . . . 2.7499E-8 20 . . . 2.7499E-8 21 . . . 2.7499E-8 22 . . . 2.7499E-8 23 . . . 2.7499E-8 24 . . . 2.7499E-8 25 . . . 2.7499E-8 26 . . . 2.7499E-8 27 . . . 2.7499E-8 28 . . . 2.7499E-8 29 . . . 2.7499E-8 30 . . . 2.7499E-8 31 . . . 2.7499E-8 32 . . . 2.7499E-8 33 . . . 2.7499E-8 34 . . . 2.7499E-8 35 . . . 2.7499E-8 36 . . . 2.7499E-8 37 . . . 2.7499E-8 38 . . . 2.7499E-8 39 . . . 2.7499E-8 40 . . . 2.7499E-8 41 . . . 2.7499E-8 42 . . . 2.7499E-8 43 . . . 2.7499E-8 44 . . . 2.7499E-8 45 . . . 2.7499E-8 46 . . . 2.7499E-8 47 . . . 2.7499E-8 48 . . . 2.7499E-8 49 . . . 2.7499E-8 50 . . . 2.7499E-8 51 . . . 2.7499E-8 52 . . . 2.7499E-8 53 . . . 2.7499E-8 54 . . . 2.7499E-8 55 . . . 2.7499E-8 56 . . . 2.7499E-8 57 . . . 2.7499E-8 58 . . . 2.7499E-8 59 . . . 2.7499E-8 60 . . . 2.7499E-8 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 . . . 1177.503 2 . . . 756.535 3 . . . 489.319 4 . . . 318.768 5 . . . 209.043 6 . . . 137.892 7 . . . 91.427 8 . . . 60.896 9 . . . 40.726 10 . . . 27.339 11 . . . 18.415 12 . . . 12.442 13 . . . 8.430 14 . . . 5.727 15 . . . 3.900 16 . . . 2.663 17 . . . 1.822 18 . . . 1.249 19 . . . 0.858 20 . . . 0.590 21 . . . 0.406 22 . . . 0.279 23 . . . 0.191 24 . . . 0.132 25 . . . 0.091 26 . . . 0.063 27 . . . 0.044 28 . . . 0.030 29 . . . 0.021 30 . . . 0.014 31 . . . 0.010 32 . . . 0.007 33 . . . 0.005 34 . . . 0.004 35 . . . 0.003 36 . . . 0.002 37 . . . 0.001 38 . . . 8.4697E-4 39 . . . 6.1885E-4 40 . . . 4.5383E-4 41 . . . 3.6567E-4 42 . . . 2.8751E-4 43 . . . 2.9102E-4 44 . . . 3.1091E-4 45 . . . 3.2683E-5 46 . . . 6.5282E-5 47 . . . 7.1085E-5 48 . . . 5.8175E-5 49 . . . 5.0621E-6 50 . . . 6.5174E-5 51 . . . 1.5577E-5 52 . . . 7.1596E-6 53 . . . 1.0563E-5 54 . . . 1.3738E-5 55 . . . 1.4831E-5 56 . . . 1.7959E-5 57 . . . 9.1572E-5 58 . . . 9.8370E-6 59 . . . 3.0947E-7 60 . . . 1.3491E-7 ---- EQU YNETEQ Output net of damages equation LOWER LEVEL UPPER MARGINAL 1 . . . EPS 2 . . . EPS 3 . . . EPS 4 . . . EPS 5 . . . EPS 6 . . . EPS 7 . . . EPS 8 . . . EPS 9 . . . EPS 10 . . . EPS 11 . . . EPS 12 . . . EPS 13 . . . EPS 14 . . . EPS 15 . . . EPS 16 . . . EPS 17 . . . EPS 18 . . . EPS 19 . . . EPS 20 . . . EPS 21 . . . EPS 22 . . . EPS 23 . . . EPS 24 . . . EPS 25 . . . EPS 26 . . . EPS 27 . . . EPS 28 . . . EPS 29 . . . EPS 30 . . . EPS 31 . . . EPS 32 . . . EPS 33 . . . EPS 34 . . . EPS 35 . . . EPS 36 . . . EPS 37 . . . EPS 38 . . . EPS 39 . . . EPS 40 . . . EPS 41 . . . EPS 42 . . . EPS 43 . . . EPS 44 . . . EPS 45 . . . EPS 46 . . . EPS 47 . . . EPS 48 . . . EPS 49 . . . EPS 50 . . . EPS 51 . . . EPS 52 . . . EPS 53 . . . EPS 54 . . . EPS 55 . . . EPS 56 . . . EPS 57 . . . EPS 58 . . . EPS 59 . . . EPS 60 . . . EPS ---- EQU YGROSSEQ Output gross equation LOWER LEVEL UPPER MARGINAL 1 . . . 1175.720 2 . . . 754.374 3 . . . 487.238 4 . . . 316.888 5 . . . 207.419 6 . . . 136.534 7 . . . 90.319 8 . . . 60.010 9 . . . 40.029 10 . . . 26.797 11 . . . 17.999 12 . . . 12.127 13 . . . 8.194 14 . . . 5.551 15 . . . 3.770 16 . . . 2.567 17 . . . 1.752 18 . . . 1.198 19 . . . 0.821 20 . . . 0.564 21 . . . 0.387 22 . . . 0.266 23 . . . 0.183 24 . . . 0.126 25 . . . 0.087 26 . . . 0.060 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 . . . 0.002 36 . . . 0.002 37 . . . 0.001 38 . . . 8.2655E-4 39 . . . 6.0439E-4 40 . . . 4.4355E-4 41 . . . 3.5763E-4 42 . . . 2.8138E-4 43 . . . 2.8500E-4 44 . . . 3.0468E-4 45 . . . 3.2047E-5 46 . . . 6.4033E-5 47 . . . 6.9530E-5 48 . . . 5.6874E-5 49 . . . 4.9368E-6 50 . . . 6.3311E-5 51 . . . 1.5031E-5 52 . . . 6.8318E-6 53 . . . 9.9071E-6 54 . . . 1.2791E-5 55 . . . 1.3768E-5 56 . . . 5.5853E-7 57 . . . 8.5110E-5 58 . . . 9.0524E-6 59 . . . 2.8363E-7 60 . . . 1.2510E-7 ---- EQU DAMEQ Damage equation LOWER LEVEL UPPER MARGINAL 1 . . . EPS 2 . . . EPS 3 . . . EPS 4 . . . EPS 5 . . . EPS 6 . . . EPS 7 . . . EPS 8 . . . EPS 9 . . . EPS 10 . . . EPS 11 . . . EPS 12 . . . EPS 13 . . . EPS 14 . . . EPS 15 . . . EPS 16 . . . EPS 17 . . . EPS 18 . . . EPS 19 . . . EPS 20 . . . EPS 21 . . . EPS 22 . . . EPS 23 . . . EPS 24 . . . EPS 25 . . . EPS 26 . . . EPS 27 . . . EPS 28 . . . EPS 29 . . . EPS 30 . . . EPS 31 . . . EPS 32 . . . EPS 33 . . . EPS 34 . . . EPS 35 . . . EPS 36 . . . EPS 37 . . . EPS 38 . . . EPS 39 . . . EPS 40 . . . EPS 41 . . . EPS 42 . . . EPS 43 . . . EPS 44 . . . EPS 45 . . . EPS 46 . . . EPS 47 . . . EPS 48 . . . EPS 49 . . . EPS 50 . . . EPS 51 . . . EPS 52 . . . EPS 53 . . . EPS 54 . . . EPS 55 . . . EPS 56 . . . EPS 57 . . . EPS 58 . . . EPS 59 . . . EPS 60 . . . EPS ---- EQU ABATEEQ Cost of emissions reductions equation LOWER LEVEL UPPER MARGINAL 1 . . . EPS 2 . . . EPS 3 . . . EPS 4 . . . EPS 5 . . . EPS 6 . . . EPS 7 . . . EPS 8 . . . EPS 9 . . . EPS 10 . . . EPS 11 . . . EPS 12 . . . EPS 13 . . . EPS 14 . . . EPS 15 . . . EPS 16 . . . EPS 17 . . . EPS 18 . . . EPS 19 . . . EPS 20 . . . EPS 21 . . . EPS 22 . . . EPS 23 . . . EPS 24 . . . EPS 25 . . . EPS 26 . . . EPS 27 . . . EPS 28 . . . EPS 29 . . . EPS 30 . . . EPS 31 . . . EPS 32 . . . EPS 33 . . . EPS 34 . . . EPS 35 . . . EPS 36 . . . EPS 37 . . . EPS 38 . . . 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 . . . 1177.503 2 . . . 756.535 3 . . . 489.319 4 . . . 318.768 5 . . . 209.043 6 . . . 137.892 7 . . . 91.427 8 . . . 60.896 9 . . . 40.726 10 . . . 27.339 11 . . . 18.415 12 . . . 12.442 13 . . . 8.430 14 . . . 5.727 15 . . . 3.900 16 . . . 2.663 17 . . . 1.822 18 . . . 1.249 19 . . . 0.858 20 . . . 0.590 21 . . . 0.406 22 . . . 0.279 23 . . . 0.191 24 . . . 0.132 25 . . . 0.091 26 . . . 0.063 27 . . . 0.044 28 . . . 0.030 29 . . . 0.021 30 . . . 0.014 31 . . . 0.010 32 . . . 0.007 33 . . . 0.005 34 . . . 0.004 35 . . . 0.003 36 . . . 0.002 37 . . . 0.001 38 . . . 8.4697E-4 39 . . . 6.1885E-4 40 . . . 4.5383E-4 41 . . . 3.6567E-4 42 . . . 2.8751E-4 43 . . . 2.9102E-4 44 . . . 3.1091E-4 45 . . . 3.2683E-5 46 . . . 6.5282E-5 47 . . . 7.1085E-5 48 . . . 5.8175E-5 49 . . . 8.1594E-5 50 . . . 6.5174E-5 51 . . . 1.5577E-5 52 . . . 7.1596E-6 53 . . . 1.0563E-5 54 . . . 1.3738E-5 55 . . . 1.4831E-5 56 . . . 1.7959E-5 57 . . . 9.1572E-5 58 . . . 6.9951E-6 59 . . . 7.5533E-6 60 . . . 1.0163E-5 ---- EQU KK Capital balance equation LOWER LEVEL UPPER MARGINAL 1 -INF . . 117.750 2 -INF . . 75.654 3 -INF . . 48.932 4 -INF . . 31.877 5 -INF . . 20.904 6 -INF . . 13.789 7 -INF . . 9.143 8 -INF . . 6.090 9 -INF . . 4.073 10 -INF . . 2.734 11 -INF . . 1.841 12 -INF . . 1.244 13 -INF . . 0.843 14 -INF . . 0.573 15 -INF . . 0.390 16 -INF . . 0.266 17 -INF . . 0.182 18 -INF . . 0.125 19 -INF . . 0.086 20 -INF . . 0.059 21 -INF . . 0.041 22 -INF . . 0.028 23 -INF . . 0.019 24 -INF . . 0.013 25 -INF . . 0.009 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 . . 7.0847E-4 33 -INF . . 4.8382E-4 34 -INF . . 3.6242E-4 35 -INF . . 2.5259E-4 36 -INF . . 1.7926E-4 37 -INF . . 1.2044E-4 38 -INF . . 8.4697E-5 39 -INF . . 6.1885E-5 40 -INF . . 4.5383E-5 41 -INF . . 3.6567E-5 42 -INF . . 2.8751E-5 43 -INF . . 2.9102E-5 44 -INF . . 3.1091E-5 45 -INF . . 3.2683E-6 46 -INF . . 6.5282E-6 47 -INF . . 7.1085E-6 48 -INF . . 5.8175E-6 49 -INF . . 8.1594E-6 50 -INF . . 6.5174E-6 51 -INF . . 1.5577E-6 52 -INF . . 7.1596E-7 53 -INF . . 1.0563E-6 54 -INF . . 1.3738E-6 55 -INF . . 1.4831E-6 56 -INF . . 1.7959E-6 57 -INF . . 9.1572E-6 58 -INF . . 6.9951E-7 59 -INF . . 7.5533E-7 60 -INF . . 1.0163E-6 ---- EQU KK0 Initial condition for capital LOWER LEVEL UPPER MARGINAL 1 137.000 137.000 137.000 183.853 ---- EQU InvestCond investment condition LOWER LEVEL UPPER MARGINAL 60 . . +INF . ---- 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 -3.212 2 9.900 9.900 9.900 -3.162 3 8.910 8.910 8.910 -2.602 4 8.019 8.019 8.019 -2.108 5 7.217 7.217 7.217 -1.688 6 6.495 6.495 6.495 -1.339 7 5.846 5.846 5.846 -1.056 8 5.261 5.261 5.261 -0.828 9 4.735 4.735 4.735 -0.647 10 4.262 4.262 4.262 -0.504 11 3.835 3.835 3.835 -0.392 12 3.452 3.452 3.452 -0.304 13 3.107 3.107 3.107 -0.236 14 2.796 2.796 2.796 -0.183 15 2.516 2.516 2.516 -0.142 16 2.265 2.265 2.265 -0.110 17 2.038 2.038 2.038 -0.086 18 1.834 1.834 1.834 -0.067 19 1.651 1.651 1.651 -0.052 20 1.486 1.486 1.486 -0.041 21 1.337 1.337 1.337 -0.032 22 1.204 1.204 1.204 -0.025 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 -8.223E-4 36 0.275 0.275 0.275 -6.283E-4 37 0.248 0.248 0.248 -4.836E-4 38 0.223 0.223 0.223 -3.773E-4 39 0.201 0.201 0.201 -2.973E-4 40 0.181 0.181 0.181 -2.352E-4 41 0.163 0.163 0.163 -1.835E-4 42 0.146 0.146 0.146 -1.360E-4 43 0.132 0.132 0.132 -8.760E-5 44 0.119 0.119 0.119 -3.934E-5 45 0.107 0.107 0.107 -1.232E-5 46 0.096 0.096 0.096 -3.536E-6 47 0.086 0.086 0.086 -7.080E-6 48 0.078 0.078 0.078 -3.165E-6 49 0.070 0.070 0.070 -2.607E-7 50 0.063 0.063 0.063 -3.135E-6 51 0.057 0.057 0.057 -7.816E-7 52 0.051 0.051 0.051 -2.167E-7 53 0.046 0.046 0.046 -6.069E-7 54 0.041 0.041 0.041 -7.666E-7 55 0.037 0.037 0.037 -8.493E-7 56 0.033 0.033 0.033 -1.771E-6 57 0.030 0.030 0.030 -9.639E-7 58 0.027 0.027 0.027 -5.525E-7 59 0.024 0.024 0.024 -6.108E-9 60 0.022 0.022 0.022 -6.932E-9 ---- EQU SEQ Savings rate 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 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 -161.114 3 0.012 0.012 0.012 -147.315 4 0.048 0.048 0.048 -130.188 5 0.084 0.084 0.084 -112.265 6 0.120 0.120 0.120 -95.048 7 0.156 0.156 0.156 -79.343 8 0.192 0.192 0.192 -65.496 9 0.228 0.228 0.228 -53.575 10 0.264 0.264 0.264 -43.485 11 0.300 0.300 0.300 -35.048 12 0.300 0.300 0.300 -28.048 13 0.300 0.300 0.300 -22.319 14 0.300 0.300 0.300 -17.671 15 0.300 0.300 0.300 -13.925 16 0.300 0.300 0.300 -10.921 17 0.300 0.300 0.300 -8.521 18 0.300 0.300 0.300 -6.610 19 0.300 0.300 0.300 -5.093 20 0.300 0.300 0.300 -3.896 21 0.300 0.300 0.300 -2.958 22 0.300 0.300 0.300 -2.236 23 0.300 0.300 0.300 -1.688 24 0.300 0.300 0.300 -1.275 25 0.300 0.300 0.300 -0.965 26 0.300 0.300 0.300 -0.732 27 0.300 0.300 0.300 -0.555 28 0.300 0.300 0.300 -0.421 29 0.300 0.300 0.300 -0.319 30 0.300 0.300 0.300 -0.243 31 0.300 0.300 0.300 -0.187 32 0.300 0.300 0.300 -0.141 33 0.300 0.300 0.300 -0.108 34 0.300 0.300 0.300 -0.084 35 0.300 0.300 0.300 -0.064 36 0.300 0.300 0.300 -0.049 37 0.300 0.300 0.300 -0.037 38 0.300 0.300 0.300 -0.028 39 0.300 0.300 0.300 -0.022 40 0.300 0.300 0.300 -0.018 41 0.300 0.300 0.300 -0.016 42 0.300 0.300 0.300 -0.014 43 0.300 0.300 0.300 -0.013 44 0.300 0.300 0.300 -0.011 45 0.300 0.300 0.300 -0.004 46 0.300 0.300 0.300 -0.004 47 0.300 0.300 0.300 -0.004 48 0.300 0.300 0.300 -0.003 49 0.300 0.300 0.300 -0.003 50 0.300 0.300 0.300 -0.004 51 0.300 0.300 0.300 -0.002 52 0.300 0.300 0.300 -0.002 53 0.300 0.300 0.300 -0.002 54 0.300 0.300 0.300 -0.002 55 0.300 0.300 0.300 -0.002 56 0.300 0.300 0.300 -0.002 57 0.300 0.300 0.300 -0.002 58 0.300 0.300 0.300 -6.672E-4 59 0.300 0.300 0.300 -2.292E-5 60 0.300 0.300 0.300 -6.070E-6 ---- EQU MMAT0 Starting atmospheric concentration LOWER LEVEL UPPER MARGINAL 1 808.900 808.900 808.900 -2.790 ---- EQU MMAT Atmospheric concentration equation LOWER LEVEL UPPER MARGINAL 2 . . . -3.212 3 . . . -3.162 4 . . . -2.602 5 . . . -2.108 6 . . . -1.688 7 . . . -1.339 8 . . . -1.056 9 . . . -0.828 10 . . . -0.647 11 . . . -0.504 12 . . . -0.392 13 . . . -0.304 14 . . . -0.236 15 . . . -0.183 16 . . . -0.142 17 . . . -0.110 18 . . . -0.086 19 . . . -0.067 20 . . . -0.052 21 . . . -0.041 22 . . . -0.032 23 . . . -0.025 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 . . . -8.224E-4 37 . . . -6.283E-4 38 . . . -4.837E-4 39 . . . -3.773E-4 40 . . . -2.973E-4 41 . . . -2.352E-4 42 . . . -1.835E-4 43 . . . -1.361E-4 44 . . . -8.763E-5 45 . . . -3.937E-5 46 . . . -1.234E-5 47 . . . -3.564E-6 48 . . . -7.107E-6 49 . . . -3.193E-6 50 . . . -2.882E-7 51 . . . -3.162E-6 52 . . . -8.091E-7 53 . . . -2.442E-7 54 . . . -6.344E-7 55 . . . -7.941E-7 56 . . . -8.768E-7 57 . . . -1.798E-6 58 . . . -9.914E-7 59 . . . -5.800E-7 60 . . . -3.361E-8 ---- EQU MMATAVEQ Average concentrations equation LOWER LEVEL UPPER MARGINAL 1 . . . EPS 2 . . . -0.997 3 . . . -0.867 4 . . . -0.730 5 . . . -0.601 6 . . . -0.486 7 . . . -0.389 8 . . . -0.309 9 . . . -0.243 10 . . . -0.191 11 . . . -0.149 12 . . . -0.116 13 . . . -0.090 14 . . . -0.070 15 . . . -0.054 16 . . . -0.042 17 . . . -0.032 18 . . . -0.025 19 . . . -0.020 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 . . . -9.461E-4 32 . . . -7.253E-4 33 . . . -5.602E-4 34 . . . -4.437E-4 35 . . . -3.423E-4 36 . . . -2.640E-4 37 . . . -2.008E-4 38 . . . -1.566E-4 39 . . . -1.256E-4 40 . . . -1.036E-4 41 . . . -9.029E-5 42 . . . -8.120E-5 43 . . . -7.652E-5 44 . . . -6.354E-5 45 . . . -2.375E-5 46 . . . -2.326E-5 47 . . . -1.992E-5 48 . . . -1.616E-5 49 . . . -1.213E-5 50 . . . -1.539E-5 51 . . . -8.165E-6 52 . . . -5.206E-6 53 . . . -4.878E-6 54 . . . -5.507E-6 55 . . . -5.893E-6 56 . . . -6.370E-6 57 . . . -5.701E-6 58 . . . -1.468E-6 59 . . . -4.576E-8 60 . . . -2.145E-8 ---- EQU MMU0 Initial shallow ocean concentration LOWER LEVEL UPPER MARGINAL 1 1255.000 1255.000 1255.000 -1.151 ---- EQU MMU Shallow ocean concentration LOWER LEVEL UPPER MARGINAL 2 . . . -0.982 3 . . . -0.791 4 . . . -0.631 5 . . . -0.499 6 . . . -0.392 7 . . . -0.307 8 . . . -0.240 9 . . . -0.187 10 . . . -0.145 11 . . . -0.113 12 . . . -0.087 13 . . . -0.068 14 . . . -0.053 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 . . . -0.002 27 . . . -0.002 28 . . . -0.001 29 . . . -0.001 30 . . . -7.869E-4 31 . . . -5.853E-4 32 . . . -4.299E-4 33 . . . -3.105E-4 34 . . . -2.182E-4 35 . . . -1.473E-4 36 . . . -9.320E-5 37 . . . -5.196E-5 38 . . . -2.015E-5 39 . . . 4.9925E-6 40 . . . 2.5313E-5 41 . . . 4.2022E-5 42 . . . 5.5688E-5 43 . . . 6.6271E-5 44 . . . 7.3129E-5 45 . . . 7.5636E-5 46 . . . 7.5464E-5 47 . . . 7.4230E-5 48 . . . 7.3153E-5 49 . . . 7.1412E-5 50 . . . 6.9006E-5 51 . . . 6.6478E-5 52 . . . 6.3210E-5 53 . . . 5.9279E-5 54 . . . 5.4676E-5 55 . . . 4.9260E-5 56 . . . 4.2880E-5 57 . . . 3.5462E-5 58 . . . 2.6631E-5 59 . . . 1.6183E-5 60 . . . 3.8234E-6 ---- 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 . . . -9.745E-4 12 . . . -7.042E-4 13 . . . -4.942E-4 14 . . . -3.311E-4 15 . . . -2.042E-4 16 . . . -1.054E-4 17 . . . -2.845E-5 18 . . . 3.1562E-5 19 . . . 7.8351E-5 20 . . . 1.1479E-4 21 . . . 1.4318E-4 22 . . . 1.6527E-4 23 . . . 1.8245E-4 24 . . . 1.9582E-4 25 . . . 2.0624E-4 26 . . . 2.1438E-4 27 . . . 2.2076E-4 28 . . . 2.2579E-4 29 . . . 2.2977E-4 30 . . . 2.3295E-4 31 . . . 2.3551E-4 32 . . . 2.3760E-4 33 . . . 2.3931E-4 34 . . . 2.4074E-4 35 . . . 2.4195E-4 36 . . . 2.4300E-4 37 . . . 2.4393E-4 38 . . . 2.4475E-4 39 . . . 2.4550E-4 40 . . . 2.4619E-4 41 . . . 2.4683E-4 42 . . . 2.4743E-4 43 . . . 2.4799E-4 44 . . . 2.4854E-4 45 . . . 2.4908E-4 46 . . . 2.4963E-4 47 . . . 2.5017E-4 48 . . . 2.5073E-4 49 . . . 2.5129E-4 50 . . . 2.5186E-4 51 . . . 2.5244E-4 52 . . . 2.5303E-4 53 . . . 2.5364E-4 54 . . . 2.5426E-4 55 . . . 2.5490E-4 56 . . . 2.5556E-4 57 . . . 2.5625E-4 58 . . . 2.5697E-4 59 . . . 2.5772E-4 60 . . . 2.5852E-4 ---- EQU TATMEQ Temperature-climate equation for atmosphere LOWER LEVEL UPPER MARGINAL 2 . . . -732.336 3 . . . -669.615 4 . . . -591.765 5 . . . -510.294 6 . . . -432.038 7 . . . -360.650 8 . . . -297.710 9 . . . -243.523 10 . . . -197.659 11 . . . -159.307 12 . . . -127.493 13 . . . -101.449 14 . . . -80.323 15 . . . -63.296 16 . . . -49.641 17 . . . -38.732 18 . . . -30.045 19 . . . -23.152 20 . . . -17.709 21 . . . -13.447 22 . . . -10.164 23 . . . -7.673 24 . . . -5.797 25 . . . -4.387 26 . . . -3.326 27 . . . -2.525 28 . . . -1.916 29 . . . -1.451 30 . . . -1.103 31 . . . -0.851 32 . . . -0.643 33 . . . -0.490 34 . . . -0.383 35 . . . -0.292 36 . . . -0.222 37 . . . -0.167 38 . . . -0.129 39 . . . -0.102 40 . . . -0.083 41 . . . -0.072 42 . . . -0.064 43 . . . -0.060 44 . . . -0.049 45 . . . -0.018 46 . . . -0.019 47 . . . -0.018 48 . . . -0.015 49 . . . -0.012 50 . . . -0.017 51 . . . -0.011 52 . . . -0.010 53 . . . -0.011 54 . . . -0.011 55 . . . -0.011 56 . . . -0.011 57 . . . -0.011 58 . . . -0.003 59 . . . -1.042E-4 60 . . . -2.759E-5 ---- EQU TATM0EQ Initial condition for atmospheric temperature LOWER LEVEL UPPER MARGINAL 1 0.731 0.731 0.731 -762.010 ---- EQU TOCEANEQ Temperature-climate equation for lower oceans LOWER LEVEL UPPER MARGINAL 2 . . . -219.483 3 . . . -184.514 4 . . . -153.113 5 . . . -125.719 6 . . . -102.321 7 . . . -82.651 8 . . . -66.318 9 . . . -52.890 10 . . . -41.941 11 . . . -33.081 12 . . . -25.965 13 . . . -20.283 14 . . . -15.770 15 . . . -12.203 16 . . . -9.396 17 . . . -7.200 18 . . . -5.492 19 . . . -4.172 20 . . . -3.161 21 . . . -2.394 22 . . . -1.813 23 . . . -1.376 24 . . . -1.045 25 . . . -0.796 26 . . . -0.606 27 . . . -0.463 28 . . . -0.354 29 . . . -0.272 30 . . . -0.210 31 . . . -0.162 32 . . . -0.126 33 . . . -0.098 34 . . . -0.077 35 . . . -0.060 36 . . . -0.048 37 . . . -0.039 38 . . . -0.032 39 . . . -0.027 40 . . . -0.022 41 . . . -0.019 42 . . . -0.015 43 . . . -0.012 44 . . . -0.009 45 . . . -0.008 46 . . . -0.007 47 . . . -0.006 48 . . . -0.006 49 . . . -0.005 50 . . . -0.004 51 . . . -0.004 52 . . . -0.003 53 . . . -0.003 54 . . . -0.002 55 . . . -0.002 56 . . . -9.075E-4 57 . . . -2.083E-4 58 . . . -8.606E-6 59 . . . -1.821E-6 60 . . . EPS ---- EQU TOCEAN0EQ Initial condition for lower ocean temperature LOWER LEVEL UPPER MARGINAL 1 0.007 0.007 0.007 -256.843 ---- 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 0.005 231.137 2 . 0.159 1.000 . 3 . 0.185 1.000 . 4 . 0.212 1.000 . 5 . 0.240 1.000 . 6 . 0.269 1.000 . 7 . 0.300 1.000 . 8 . 0.333 1.000 . 9 . 0.368 1.000 . 10 . 0.404 1.000 . 11 . 0.443 1.000 . 12 . 0.484 1.000 . 13 . 0.528 1.000 . 14 . 0.574 1.000 . 15 . 0.624 1.000 . 16 . 0.677 1.000 . 17 . 0.734 1.000 . 18 . 0.795 1.000 . 19 . 0.861 1.000 . 20 . 0.929 1.000 . 21 . 1.000 1.000 0.075 22 . 1.000 1.000 1.491 23 . 1.000 1.000 2.253 24 . 1.000 1.000 2.595 25 . 1.000 1.000 2.672 26 . 1.000 1.000 2.590 27 . 1.000 1.000 2.413 28 . 1.000 1.000 2.198 29 . 1.000 1.000 1.980 30 . 1.000 1.000 1.755 31 . 1.000 1.000 1.488 32 . 1.000 1.000 1.301 33 . 1.000 1.000 1.123 34 . 1.000 1.000 0.922 35 . 1.000 1.000 0.781 36 . 1.000 1.000 0.655 37 . 1.000 1.000 0.560 38 . 1.000 1.000 0.470 39 . 1.000 1.000 0.390 40 . 1.000 1.000 0.322 41 . 1.000 1.000 0.255 42 . 1.000 1.000 0.197 43 . 1.000 1.000 0.126 44 . 1.000 1.000 0.045 45 . 1.000 1.000 0.031 46 . 0.914 1.000 . 47 . 1.000 1.000 0.005 48 . 0.922 1.000 . 49 . 0.898 1.000 . 50 . 0.869 1.000 . 51 . 0.895 1.000 . 52 . 0.682 1.000 . 53 . 0.983 1.000 . 54 . 0.973 1.000 . 55 . 0.991 1.000 . 56 . 1.000 1.000 0.001 57 . . 1.000 7.2257E-4 58 . 0.990 1.000 . 59 . 0.557 1.000 . 60 . 0.941 1.000 . ---- VAR FORC Radiative forcing in watts per m2 LOWER LEVEL UPPER MARGINAL 1 -INF 1.791 +INF . 2 -INF 2.143 +INF . 3 -INF 2.453 +INF . 4 -INF 2.757 +INF . 5 -INF 3.050 +INF . 6 -INF 3.330 +INF . 7 -INF 3.597 +INF . 8 -INF 3.851 +INF . 9 -INF 4.091 +INF . 10 -INF 4.316 +INF . 11 -INF 4.527 +INF . 12 -INF 4.686 +INF . 13 -INF 4.827 +INF . 14 -INF 4.948 +INF . 15 -INF 5.046 +INF . 16 -INF 5.116 +INF . 17 -INF 5.154 +INF . 18 -INF 5.152 +INF . 19 -INF 5.100 +INF . 20 -INF 4.989 +INF . 21 -INF 4.802 +INF . 22 -INF 4.594 +INF . 23 -INF 4.420 +INF . 24 -INF 4.273 +INF . 25 -INF 4.145 +INF . 26 -INF 4.031 +INF . 27 -INF 3.928 +INF . 28 -INF 3.833 +INF . 29 -INF 3.744 +INF . 30 -INF 3.660 +INF . 31 -INF 3.579 +INF . 32 -INF 3.502 +INF . 33 -INF 3.428 +INF . 34 -INF 3.355 +INF . 35 -INF 3.285 +INF . 36 -INF 3.217 +INF . 37 -INF 3.150 +INF . 38 -INF 3.085 +INF . 39 -INF 3.021 +INF . 40 -INF 2.959 +INF . 41 -INF 2.899 +INF . 42 -INF 2.840 +INF . 43 -INF 2.782 +INF . 44 -INF 2.726 +INF . 45 -INF 2.671 +INF . 46 -INF 3.142 +INF . 47 -INF 3.489 +INF . 48 -INF 3.656 +INF . 49 -INF 4.166 +INF . 50 -INF 4.834 +INF . 51 -INF 5.676 +INF . 52 -INF 7.521 +INF . 53 -INF 8.371 +INF . 54 -INF 7.857 +INF . 55 -INF 7.426 +INF . 56 -INF 7.010 +INF . 57 -INF 7.639 +INF . 58 -INF 8.138 +INF . 59 -INF 8.671 +INF . 60 -INF 5.540 +INF . ---- VAR TATM Temperature of atmosphere in degrees C LOWER LEVEL UPPER MARGINAL 1 . 0.731 20.000 . 2 . 0.951 20.000 . 3 . 1.166 20.000 . 4 . 1.376 20.000 . 5 . 1.582 20.000 . 6 . 1.783 20.000 . 7 . 1.978 20.000 . 8 . 2.166 20.000 . 9 . 2.348 20.000 . 10 . 2.522 20.000 . 11 . 2.689 20.000 . 12 . 2.840 20.000 . 13 . 2.976 20.000 . 14 . 3.098 20.000 . 15 . 3.207 20.000 . 16 . 3.301 20.000 . 17 . 3.377 20.000 . 18 . 3.434 20.000 . 19 . 3.466 20.000 . 20 . 3.470 20.000 . 21 . 3.438 20.000 . 22 . 3.377 20.000 . 23 . 3.304 20.000 . 24 . 3.229 20.000 . 25 . 3.157 20.000 . 26 . 3.089 20.000 . 27 . 3.025 20.000 . 28 . 2.966 20.000 . 29 . 2.910 20.000 . 30 . 2.858 20.000 . 31 . 2.809 20.000 . 32 . 2.761 20.000 . 33 . 2.715 20.000 . 34 . 2.671 20.000 . 35 . 2.628 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 . 2.312 20.000 . 47 . 2.440 20.000 . 48 . 2.560 20.000 . 49 . 2.751 20.000 . 50 . 3.024 20.000 . 51 . 3.389 20.000 . 52 . 4.037 20.000 . 53 . 4.651 20.000 . 54 . 4.946 20.000 . 55 . 5.051 20.000 . 56 . 5.036 20.000 . 57 . 5.172 20.000 . 58 . 5.378 20.000 . 59 . 5.637 20.000 . 60 . 5.126 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 0.348 20.000 . 8 -1.000 0.430 20.000 . 9 -1.000 0.517 20.000 . 10 -1.000 0.608 20.000 . 11 -1.000 0.704 20.000 . 12 -1.000 0.803 20.000 . 13 -1.000 0.905 20.000 . 14 -1.000 1.009 20.000 . 15 -1.000 1.113 20.000 . 16 -1.000 1.218 20.000 . 17 -1.000 1.322 20.000 . 18 -1.000 1.425 20.000 . 19 -1.000 1.525 20.000 . 20 -1.000 1.622 20.000 . 21 -1.000 1.715 20.000 . 22 -1.000 1.801 20.000 . 23 -1.000 1.880 20.000 . 24 -1.000 1.951 20.000 . 25 -1.000 2.015 20.000 . 26 -1.000 2.072 20.000 . 27 -1.000 2.123 20.000 . 28 -1.000 2.168 20.000 . 29 -1.000 2.208 20.000 . 30 -1.000 2.243 20.000 . 31 -1.000 2.274 20.000 . 32 -1.000 2.300 20.000 . 33 -1.000 2.323 20.000 . 34 -1.000 2.343 20.000 . 35 -1.000 2.359 20.000 . 36 -1.000 2.373 20.000 . 37 -1.000 2.383 20.000 . 38 -1.000 2.391 20.000 . 39 -1.000 2.397 20.000 . 40 -1.000 2.400 20.000 . 41 -1.000 2.401 20.000 . 42 -1.000 2.401 20.000 . 43 -1.000 2.398 20.000 . 44 -1.000 2.393 20.000 . 45 -1.000 2.387 20.000 . 46 -1.000 2.379 20.000 . 47 -1.000 2.376 20.000 . 48 -1.000 2.379 20.000 . 49 -1.000 2.388 20.000 . 50 -1.000 2.407 20.000 . 51 -1.000 2.437 20.000 . 52 -1.000 2.485 20.000 . 53 -1.000 2.563 20.000 . 54 -1.000 2.667 20.000 . 55 -1.000 2.781 20.000 . 56 -1.000 2.894 20.000 . 57 -1.000 3.001 20.000 . 58 -1.000 3.110 20.000 . 59 -1.000 3.223 20.000 . 60 -1.000 3.344 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 10.000 907.851 +INF 2.0000E-5 4 10.000 954.103 +INF 2.1842E-5 5 10.000 1000.969 +INF 1.9596E-5 6 10.000 1047.856 +INF 2.1330E-5 7 10.000 1094.346 +INF 2.2258E-5 8 10.000 1140.110 +INF 2.3356E-5 9 10.000 1184.839 +INF 2.2749E-5 10 10.000 1228.197 +INF 2.3334E-5 11 10.000 1269.785 +INF 2.4304E-5 12 10.000 1309.111 +INF 2.6050E-5 13 10.000 1345.545 +INF 2.6224E-5 14 10.000 1378.283 +INF 2.7968E-5 15 10.000 1406.319 +INF 2.9934E-5 16 10.000 1428.402 +INF 3.1429E-5 17 10.000 1443.001 +INF 3.7694E-5 18 10.000 1448.257 +INF 4.0146E-5 19 10.000 1441.919 +INF 4.5713E-5 20 10.000 1421.305 +INF 1.8529E-4 21 10.000 1384.119 +INF . 22 10.000 1327.615 +INF . 23 10.000 1282.808 +INF . 24 10.000 1246.304 +INF . 25 10.000 1215.741 +INF . 26 10.000 1189.475 +INF . 27 10.000 1166.358 +INF . 28 10.000 1145.588 +INF . 29 10.000 1126.605 +INF . 30 10.000 1109.013 +INF . 31 10.000 1092.534 +INF . 32 10.000 1076.968 +INF . 33 10.000 1062.175 +INF . 34 10.000 1048.050 +INF . 35 10.000 1034.518 +INF . 36 10.000 1021.522 +INF . 37 10.000 1009.018 +INF . 38 10.000 996.973 +INF . 39 10.000 985.359 +INF . 40 10.000 974.153 +INF . 41 10.000 963.336 +INF . 42 10.000 952.891 +INF . 43 10.000 942.803 +INF . 44 10.000 933.057 +INF . 45 10.000 923.642 +INF . 46 10.000 914.546 +INF . 47 10.000 1088.631 +INF -9.941E-6 48 10.000 1045.522 +INF . 49 10.000 1154.436 +INF 1.8784E-6 50 10.000 1260.193 +INF -3.449E-6 51 10.000 1467.104 +INF 2.6962E-6 52 10.000 1713.122 +INF 5.1463E-6 53 10.000 2739.318 +INF 5.0374E-6 54 10.000 2459.471 +INF 4.1225E-6 55 10.000 2274.705 +INF 2.5001E-6 56 10.000 2101.244 +INF . 57 10.000 1955.100 +INF . 58 10.000 2594.003 +INF . 59 10.000 2389.021 +INF 5.1953E-7 60 10.000 3102.281 +INF . ---- VAR MATAV Average concentrations LOWER LEVEL UPPER MARGINAL 1 . 836.004 +INF . 2 . 885.479 +INF . 3 . 930.977 +INF . 4 . 977.536 +INF . 5 . 1024.413 +INF . 6 . 1071.101 +INF . 7 . 1117.228 +INF . 8 . 1162.474 +INF . 9 . 1206.518 +INF . 10 . 1248.991 +INF . 11 . 1289.448 +INF . 12 . 1327.328 +INF . 13 . 1361.914 +INF . 14 . 1392.301 +INF . 15 . 1417.360 +INF . 16 . 1435.702 +INF . 17 . 1445.629 +INF . 18 . 1445.088 +INF . 19 . 1431.612 +INF . 20 . 1402.712 +INF . 21 . 1355.867 +INF . 22 . 1305.212 +INF . 23 . 1264.556 +INF . 24 . 1231.022 +INF . 25 . 1202.608 +INF . 26 . 1177.916 +INF . 27 . 1155.973 +INF . 28 . 1136.097 +INF . 29 . 1117.809 +INF . 30 . 1100.774 +INF . 31 . 1084.751 +INF . 32 . 1069.571 +INF . 33 . 1055.112 +INF . 34 . 1041.284 +INF . 35 . 1028.020 +INF . 36 . 1015.270 +INF . 37 . 1002.996 +INF . 38 . 991.166 +INF . 39 . 979.756 +INF . 40 . 968.745 +INF . 41 . 958.114 +INF . 42 . 947.847 +INF . 43 . 937.930 +INF . 44 . 928.350 +INF . 45 . 919.094 +INF . 46 . 1001.588 +INF . 47 . 1067.077 +INF . 48 . 1099.979 +INF . 49 . 1207.315 +INF . 50 . 1363.648 +INF . 51 . 1590.113 +INF . 52 . 2226.220 +INF . 53 . 2599.395 +INF . 54 . 2367.088 +INF . 55 . 2187.975 +INF . 56 . 2028.172 +INF . 57 . 2274.551 +INF . 58 . 2491.512 +INF . 59 . 2745.651 +INF . 60 . 1551.141 +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 1348.673 +INF . 5 100.000 1388.067 +INF . 6 100.000 1430.565 +INF . 7 100.000 1475.719 +INF . 8 100.000 1523.070 +INF . 9 100.000 1572.164 +INF . 10 100.000 1622.555 +INF . 11 100.000 1673.801 +INF . 12 100.000 1725.449 +INF . 13 100.000 1777.018 +INF . 14 100.000 1827.980 +INF . 15 100.000 1877.735 +INF . 16 100.000 1925.575 +INF . 17 100.000 1970.665 +INF . 18 100.000 2011.999 +INF . 19 100.000 2048.369 +INF . 20 100.000 2078.316 +INF . 21 100.000 2100.089 +INF . 22 100.000 2111.759 +INF . 23 100.000 2111.160 +INF . 24 100.000 2102.313 +INF . 25 100.000 2088.003 +INF . 26 100.000 2070.158 +INF . 27 100.000 2050.108 +INF . 28 100.000 2028.771 +INF . 29 100.000 2006.778 +INF . 30 100.000 1984.558 +INF . 31 100.000 1962.406 +INF . 32 100.000 1940.517 +INF . 33 100.000 1919.023 +INF . 34 100.000 1898.007 +INF . 35 100.000 1877.522 +INF . 36 100.000 1857.598 +INF . 37 100.000 1838.251 +INF . 38 100.000 1819.486 +INF . 39 100.000 1801.300 +INF . 40 100.000 1783.686 +INF . 41 100.000 1766.635 +INF . 42 100.000 1750.134 +INF . 43 100.000 1734.169 +INF . 44 100.000 1718.727 +INF . 45 100.000 1703.792 +INF . 46 100.000 1689.350 +INF . 47 100.000 1675.386 +INF . 48 100.000 1696.501 +INF . 49 100.000 1706.417 +INF . 50 100.000 1735.561 +INF . 51 100.000 1780.506 +INF . 52 100.000 1858.078 +INF . 53 100.000 1970.883 +INF . 54 100.000 2261.425 +INF . 55 100.000 2456.336 +INF . 56 100.000 2587.739 +INF . 57 100.000 2667.152 +INF . 58 100.000 2707.418 +INF . 59 100.000 2862.914 +INF . 60 100.000 2956.944 +INF -3.823E-6 ---- 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 18395.644 +INF . 6 1000.000 18407.679 +INF . 7 1000.000 18421.802 +INF . 8 1000.000 18438.138 +INF . 9 1000.000 18456.791 +INF . 10 1000.000 18477.840 +INF . 11 1000.000 18501.343 +INF . 12 1000.000 18527.335 +INF . 13 1000.000 18555.829 +INF . 14 1000.000 18586.812 +INF . 15 1000.000 18620.247 +INF . 16 1000.000 18656.065 +INF . 17 1000.000 18694.163 +INF . 18 1000.000 18734.397 +INF . 19 1000.000 18776.572 +INF . 20 1000.000 18820.435 +INF . 21 1000.000 18865.658 +INF . 22 1000.000 18911.828 +INF . 23 1000.000 18958.438 +INF . 24 1000.000 19004.873 +INF . 25 1000.000 19050.720 +INF . 26 1000.000 19095.709 +INF . 27 1000.000 19139.666 +INF . 28 1000.000 19182.483 +INF . 29 1000.000 19224.099 +INF . 30 1000.000 19264.486 +INF . 31 1000.000 19303.636 +INF . 32 1000.000 19341.557 +INF . 33 1000.000 19378.264 +INF . 34 1000.000 19413.783 +INF . 35 1000.000 19448.140 +INF . 36 1000.000 19481.365 +INF . 37 1000.000 19513.491 +INF . 38 1000.000 19544.549 +INF . 39 1000.000 19574.573 +INF . 40 1000.000 19603.593 +INF . 41 1000.000 19631.642 +INF . 42 1000.000 19658.751 +INF . 43 1000.000 19684.950 +INF . 44 1000.000 19710.269 +INF . 45 1000.000 19734.738 +INF . 46 1000.000 19758.383 +INF . 47 1000.000 19781.233 +INF . 48 1000.000 19803.313 +INF . 49 1000.000 19826.379 +INF . 50 1000.000 19849.870 +INF . 51 1000.000 19874.745 +INF . 52 1000.000 19901.789 +INF . 53 1000.000 19932.628 +INF . 54 1000.000 19969.011 +INF . 55 1000.000 20019.807 +INF . 56 1000.000 20080.190 +INF . 57 1000.000 20146.956 +INF . 58 1000.000 20217.484 +INF . 59 1000.000 20289.805 +INF . 60 1000.000 20369.675 +INF -2.585E-4 ---- VAR E CO2-equivalent emissions GtC LOWER LEVEL UPPER MARGINAL 1 . 85.320 +INF . 2 . 83.624 +INF . 3 . 90.478 +INF . 4 . 96.358 +INF . 5 . 101.419 +INF . 6 . 105.767 +INF . 7 . 109.451 +INF . 8 . 112.476 +INF . 9 . 114.799 +INF . 10 . 116.337 +INF . 11 . 116.965 +INF . 12 . 116.497 +INF . 13 . 114.685 +INF . 14 . 111.224 +INF . 15 . 105.742 +INF . 16 . 97.787 +INF . 17 . 86.824 +INF . 18 . 72.207 +INF . 19 . 53.195 +INF . 20 . 29.810 +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 . 0.119 +INF . 45 . 0.107 +INF . 46 . 182.971 +INF . 47 . 0.086 +INF . 48 . 141.897 +INF . 49 . 158.391 +INF . 50 . 276.731 +INF . 51 . 350.635 +INF . 52 . 1169.840 +INF . 53 . 47.077 +INF . 54 . 60.943 +INF . 55 . 18.325 +INF . 56 . 0.033 +INF . 57 . 749.698 +INF . 58 . 22.835 +INF . 59 . 887.161 +INF . 60 . 91.376 +INF 6.9319E-9 ---- VAR C Consumption trillions US dollars LOWER LEVEL UPPER MARGINAL 1 20.000 43.099 +INF . 2 20.000 54.632 +INF . 3 20.000 66.896 +INF . 4 20.000 80.047 +INF . 5 20.000 94.270 +INF . 6 20.000 109.768 +INF . 7 20.000 126.760 +INF . 8 20.000 145.481 +INF . 9 20.000 166.174 +INF . 10 20.000 189.103 +INF . 11 20.000 214.545 +INF . 12 20.000 242.816 +INF . 13 20.000 274.249 +INF . 14 20.000 309.199 +INF . 15 20.000 348.054 +INF . 16 20.000 391.236 +INF . 17 20.000 439.218 +INF . 18 20.000 492.531 +INF . 19 20.000 551.804 +INF . 20 20.000 617.867 +INF . 21 20.000 691.649 +INF . 22 20.000 774.773 +INF . 23 20.000 867.707 +INF . 24 20.000 971.016 +INF . 25 20.000 1085.379 +INF . 26 20.000 1211.943 +INF . 27 20.000 1350.897 +INF . 28 20.000 1505.973 +INF . 29 20.000 1685.447 +INF . 30 20.000 1887.756 +INF . 31 20.000 2055.459 +INF . 32 20.000 2307.794 +INF . 33 20.000 2592.311 +INF . 34 20.000 2780.301 +INF . 35 20.000 3091.459 +INF . 36 20.000 3406.398 +INF . 37 20.000 3857.583 +INF . 38 20.000 4270.181 +INF . 39 20.000 4637.208 +INF . 40 20.000 5026.559 +INF . 41 20.000 5198.124 +INF . 42 20.000 5441.692 +INF . 43 20.000 5020.769 +INF . 44 20.000 4508.976 +INF . 45 20.000 12909.383 +INF . 46 20.000 8478.962 +INF . 47 20.000 7542.575 +INF . 48 20.000 7739.456 +INF . 49 20.000 6066.218 +INF . 50 20.000 6300.563 +INF . 51 20.000 11963.061 +INF . 52 20.000 16379.897 +INF . 53 20.000 12517.954 +INF . 54 20.000 10189.096 +INF . 55 20.000 9102.991 +INF . 56 20.000 7678.724 +INF . 57 20.000 3156.638 +INF . 58 20.000 10601.785 +INF . 59 20.000 9470.600 +INF . 60 20.000 7578.731 +INF . ---- VAR K Capital stock trillions US dollars LOWER LEVEL UPPER MARGINAL 1 100.000 137.000 +INF . 2 100.000 172.607 +INF 6.7762E-7 3 100.000 211.844 +INF 7.2560E-8 4 100.000 254.795 +INF 2.5790E-7 5 100.000 301.798 +INF -5.598E-9 6 100.000 353.402 +INF 5.1738E-9 7 100.000 410.289 +INF 6.9946E-8 8 100.000 473.241 +INF 3.4337E-7 9 100.000 543.118 +INF 1.6887E-7 10 100.000 620.849 +INF -3.539E-8 11 100.000 707.431 +INF -1.400E-7 12 100.000 803.912 +INF -1.306E-7 13 100.000 911.605 +INF 2.1188E-7 14 100.000 1031.909 +INF -1.359E-7 15 100.000 1166.341 +INF 4.3857E-7 16 100.000 1316.573 +INF 5.6597E-7 17 100.000 1484.457 +INF 6.0336E-7 18 100.000 1672.026 +INF 1.1462E-6 19 100.000 1881.427 +INF 2.6782E-7 20 100.000 2114.606 +INF -1.241E-5 21 100.000 2372.466 +INF 1.1727E-5 22 100.000 2654.066 +INF 1.4389E-6 23 100.000 2975.092 +INF 2.2271E-6 24 100.000 3337.939 +INF 3.6395E-6 25 100.000 3746.695 +INF 1.1256E-6 26 100.000 4207.794 +INF -1.098E-5 27 100.000 4727.284 +INF -1.231E-5 28 100.000 5321.092 +INF -3.536E-5 29 100.000 5984.600 +INF -6.613E-5 30 100.000 6639.002 +INF -4.764E-5 31 100.000 7199.839 +INF 6.5840E-5 32 100.000 8132.920 +INF -2.717E-5 33 100.000 8926.172 +INF -1.624E-5 34 100.000 9385.769 +INF 4.8668E-5 35 100.000 10527.585 +INF 5.5842E-6 36 100.000 11647.447 +INF 8.1550E-6 37 100.000 12931.842 +INF -4.785E-6 38 100.000 13346.762 +INF 6.5367E-6 39 100.000 13140.032 +INF 1.3810E-5 40 100.000 12657.054 +INF 1.5787E-5 41 100.000 11643.391 +INF 2.3746E-5 42 100.000 11919.011 +INF 1.9964E-5 43 100.000 14004.823 +INF 2.6208E-5 44 100.000 26559.784 +INF 1.4316E-5 45 100.000 56932.946 +INF -2.781E-5 46 100.000 14858.414 +INF 1.0619E-5 47 100.000 8584.359 +INF 1.5638E-5 48 100.000 6816.986 +INF 1.4991E-5 49 100.000 3457.338 +INF . 50 100.000 8297.015 +INF 1.6010E-5 51 100.000 32938.606 +INF -3.875E-6 52 100.000 39987.439 +INF -4.267E-7 53 100.000 14580.574 +INF 2.3989E-6 54 100.000 6304.757 +INF 6.1679E-6 55 100.000 3526.768 +INF 1.0674E-5 56 100.000 1607.188 +INF . 57 100.000 100.000 +INF 9.6258E-4 58 100.000 3535.586 +INF . 59 100.000 2013.537 +INF . 60 100.000 761.828 +INF . ---- VAR CPC Per capita consumption thousands US dollars LOWER LEVEL UPPER MARGINAL 1 -INF 6.616 +INF . 2 -INF 7.662 +INF . 3 -INF 8.844 +INF . 4 -INF 10.171 +INF . 5 -INF 11.659 +INF . 6 -INF 13.325 +INF . 7 -INF 15.191 +INF . 8 -INF 17.278 +INF . 9 -INF 19.612 +INF . 10 -INF 22.220 +INF . 11 -INF 25.131 +INF . 12 -INF 28.381 +INF . 13 -INF 32.006 +INF . 14 -INF 36.046 +INF . 15 -INF 40.545 +INF . 16 -INF 45.551 +INF . 17 -INF 51.118 +INF . 18 -INF 57.307 +INF . 19 -INF 64.192 +INF . 20 -INF 71.868 +INF . 21 -INF 80.442 +INF . 22 -INF 90.104 +INF . 23 -INF 100.907 +INF . 24 -INF 112.918 +INF . 25 -INF 126.214 +INF . 26 -INF 140.929 +INF . 27 -INF 157.085 +INF . 28 -INF 175.116 +INF . 29 -INF 195.985 +INF . 30 -INF 219.509 +INF . 31 -INF 239.008 +INF . 32 -INF 268.349 +INF . 33 -INF 301.433 +INF . 34 -INF 323.292 +INF . 35 -INF 359.473 +INF . 36 -INF 396.093 +INF . 37 -INF 448.557 +INF . 38 -INF 496.533 +INF . 39 -INF 539.210 +INF . 40 -INF 584.484 +INF . 41 -INF 604.433 +INF . 42 -INF 632.755 +INF . 43 -INF 583.810 +INF . 44 -INF 524.300 +INF . 45 -INF 1501.091 +INF . 46 -INF 985.926 +INF . 47 -INF 877.044 +INF . 48 -INF 899.937 +INF . 49 -INF 705.374 +INF . 50 -INF 732.624 +INF . 51 -INF 1391.054 +INF . 52 -INF 1904.639 +INF . 53 -INF 1455.576 +INF . 54 -INF 1184.779 +INF . 55 -INF 1058.487 +INF . 56 -INF 892.875 +INF . 57 -INF 367.051 +INF . 58 -INF 1232.766 +INF . 59 -INF 1101.233 +INF . 60 -INF 881.248 +INF . ---- VAR PCY Per capita income thousands US dollars LOWER LEVEL UPPER MARGINAL 1 -INF 8.533 +INF . 2 -INF 9.789 +INF . 3 -INF 11.236 +INF . 4 -INF 12.877 +INF . 5 -INF 14.728 +INF . 6 -INF 16.810 +INF . 7 -INF 19.148 +INF . 8 -INF 21.769 +INF . 9 -INF 24.704 +INF . 10 -INF 27.988 +INF . 11 -INF 31.659 +INF . 12 -INF 35.760 +INF . 13 -INF 40.339 +INF . 14 -INF 45.448 +INF . 15 -INF 51.144 +INF . 16 -INF 57.489 +INF . 17 -INF 64.553 +INF . 18 -INF 72.415 +INF . 19 -INF 81.160 +INF . 20 -INF 90.887 +INF . 21 -INF 101.689 +INF . 22 -INF 113.941 +INF . 23 -INF 127.661 +INF . 24 -INF 142.953 +INF . 25 -INF 159.953 +INF . 26 -INF 178.839 +INF . 27 -INF 199.793 +INF . 28 -INF 223.132 +INF . 29 -INF 248.919 +INF . 30 -INF 276.311 +INF . 31 -INF 304.387 +INF . 32 -INF 339.168 +INF . 33 -INF 374.379 +INF . 34 -INF 407.652 +INF . 35 -INF 452.225 +INF . 36 -INF 499.240 +INF . 37 -INF 551.321 +INF . 38 -INF 595.211 +INF . 39 -INF 633.111 +INF . 40 -INF 668.555 +INF . 41 -INF 695.819 +INF . 42 -INF 747.277 +INF . 43 -INF 835.864 +INF . 44 -INF 1078.627 +INF . 45 -INF 1443.034 +INF . 46 -INF 1025.502 +INF . 47 -INF 921.506 +INF . 48 -INF 912.500 +INF . 49 -INF 787.834 +INF . 50 -INF 1081.991 +INF . 51 -INF 1722.478 +INF . 52 -INF 1912.056 +INF . 53 -INF 1469.772 +INF . 54 -INF 1200.226 +INF . 55 -INF 1062.877 +INF . 56 -INF 887.521 +INF . 57 -INF 407.757 +INF . 58 -INF 1241.844 +INF . 59 -INF 1101.927 +INF . 60 -INF 878.159 +INF . ---- VAR I Investment trillions US dollars LOWER LEVEL UPPER MARGINAL 1 -INF 12.484 +INF . 2 -INF 15.166 +INF . 3 -INF 18.093 +INF . 4 -INF 21.296 +INF . 5 -INF 24.817 +INF . 6 -INF 28.707 +INF . 7 -INF 33.018 +INF . 8 -INF 37.811 +INF . 9 -INF 43.148 +INF . 10 -INF 49.095 +INF . 11 -INF 55.725 +INF . 12 -INF 63.130 +INF . 13 -INF 71.405 +INF . 14 -INF 80.654 +INF . 15 -INF 90.990 +INF . 16 -INF 102.540 +INF . 17 -INF 115.443 +INF . 18 -INF 129.843 +INF . 19 -INF 145.859 +INF . 20 -INF 163.515 +INF . 21 -INF 182.684 +INF . 22 -INF 204.968 +INF . 23 -INF 230.059 +INF . 24 -INF 258.283 +INF . 25 -INF 290.140 +INF . 26 -INF 326.012 +INF . 27 -INF 367.279 +INF . 28 -INF 412.925 +INF . 29 -INF 455.230 +INF . 30 -INF 488.496 +INF . 31 -INF 562.249 +INF . 32 -INF 609.040 +INF . 33 -INF 627.341 +INF . 34 -INF 725.497 +INF . 35 -INF 797.671 +INF . 36 -INF 887.063 +INF . 37 -INF 883.771 +INF . 38 -INF 848.630 +INF . 39 -INF 807.541 +INF . 40 -INF 723.015 +INF . 41 -INF 785.921 +INF . 42 -INF 984.892 +INF . 43 -INF 2167.660 +INF . 44 -INF 4767.212 +INF . 45 -INF -499.288 +INF . 46 -INF 340.355 +INF . 47 -INF 382.381 +INF . 48 -INF 108.040 +INF . 49 -INF 709.152 +INF . 50 -INF 3004.562 +INF . 51 -INF 2850.246 +INF . 52 -INF 63.782 +INF . 53 -INF 122.082 +INF . 54 -INF 132.844 +INF . 55 -INF 37.748 +INF . 56 -INF -46.039 +INF . 57 -INF 350.072 +INF . 58 -INF 78.075 +INF . 59 -INF 5.975 +INF . 60 -INF -26.563 +INF . ---- VAR S Gross savings rate as fraction of gross world product LOWER LEVEL UPPER MARGINAL 1 -INF 0.225 +INF . 2 -INF 0.217 +INF . 3 -INF 0.213 +INF . 4 -INF 0.210 +INF . 5 -INF 0.208 +INF . 6 -INF 0.207 +INF . 7 -INF 0.207 +INF . 8 -INF 0.206 +INF . 9 -INF 0.206 +INF . 10 -INF 0.206 +INF . 11 -INF 0.206 +INF . 12 -INF 0.206 +INF . 13 -INF 0.207 +INF . 14 -INF 0.207 +INF . 15 -INF 0.207 +INF . 16 -INF 0.208 +INF . 17 -INF 0.208 +INF . 18 -INF 0.209 +INF . 19 -INF 0.209 +INF . 20 -INF 0.209 +INF . 21 -INF 0.209 +INF . 22 -INF 0.209 +INF . 23 -INF 0.210 +INF . 24 -INF 0.210 +INF . 25 -INF 0.211 +INF . 26 -INF 0.212 +INF . 27 -INF 0.214 +INF . 28 -INF 0.215 +INF . 29 -INF 0.213 +INF . 30 -INF 0.206 +INF . 31 -INF 0.215 +INF . 32 -INF 0.209 +INF . 33 -INF 0.195 +INF . 34 -INF 0.207 +INF . 35 -INF 0.205 +INF . 36 -INF 0.207 +INF . 37 -INF 0.186 +INF . 38 -INF 0.166 +INF . 39 -INF 0.148 +INF . 40 -INF 0.126 +INF . 41 -INF 0.131 +INF . 42 -INF 0.153 +INF . 43 -INF 0.302 +INF . 44 -INF 0.514 +INF . 45 -INF -0.040 +INF . 46 -INF 0.039 +INF . 47 -INF 0.048 +INF . 48 -INF 0.014 +INF . 49 -INF 0.105 +INF . 50 -INF 0.323 +INF . 51 -INF 0.192 +INF . 52 -INF 0.004 +INF . 53 -INF 0.010 +INF . 54 -INF 0.013 +INF . 55 -INF 0.004 +INF . 56 -INF -0.006 +INF . 57 -INF 0.100 +INF . 58 -INF 0.007 +INF . 59 -INF 6.3052E-4 +INF . 60 -INF -0.004 +INF . ---- VAR RI Real interest rate per annum LOWER LEVEL UPPER MARGINAL 1 -INF 0.057 +INF . 2 -INF 0.056 +INF . 3 -INF 0.055 +INF . 4 -INF 0.054 +INF . 5 -INF 0.053 +INF . 6 -INF 0.052 +INF . 7 -INF 0.052 +INF . 8 -INF 0.051 +INF . 9 -INF 0.050 +INF . 10 -INF 0.050 +INF . 11 -INF 0.049 +INF . 12 -INF 0.049 +INF . 13 -INF 0.049 +INF . 14 -INF 0.048 +INF . 15 -INF 0.048 +INF . 16 -INF 0.047 +INF . 17 -INF 0.047 +INF . 18 -INF 0.047 +INF . 19 -INF 0.046 +INF . 20 -INF 0.046 +INF . 21 -INF 0.045 +INF . 22 -INF 0.046 +INF . 23 -INF 0.046 +INF . 24 -INF 0.045 +INF . 25 -INF 0.045 +INF . 26 -INF 0.045 +INF . 27 -INF 0.044 +INF . 28 -INF 0.043 +INF . 29 -INF 0.042 +INF . 30 -INF 0.042 +INF . 31 -INF 0.044 +INF . 32 -INF 0.042 +INF . 33 -INF 0.043 +INF . 34 -INF 0.047 +INF . 35 -INF 0.046 +INF . 36 -INF 0.045 +INF . 37 -INF 0.045 +INF . 38 -INF 0.050 +INF . 39 -INF 0.059 +INF . 40 -INF 0.071 +INF . 41 -INF 0.089 +INF . 42 -INF 0.097 +INF . 43 -INF 0.089 +INF . 44 -INF 0.040 +INF . 45 -INF 2.6106E-4 +INF . 46 -INF 0.113 +INF . 47 -INF 0.212 +INF . 48 -INF 0.280 +INF . 49 -INF 0.523 +INF . 50 -INF 0.271 +INF . 51 -INF 0.070 +INF . 52 -INF 0.058 +INF . 53 -INF 0.195 +INF . 54 -INF 0.426 +INF . 55 -INF 0.712 +INF . 56 -INF 1.360 +INF . 57 -INF 10.455 +INF . 58 -INF 0.841 +INF . 59 -INF 1.347 +INF . 60 -INF 2.909 +INF . ---- VAR Y Gross world product net of abatement and damages LOWER LEVEL UPPER MARGINAL 1 . 55.583 +INF . 2 . 69.798 +INF . 3 . 84.989 +INF . 4 . 101.343 +INF . 5 . 119.087 +INF . 6 . 138.474 +INF . 7 . 159.779 +INF . 8 . 183.292 +INF . 9 . 209.322 +INF . 10 . 238.198 +INF . 11 . 270.269 +INF . 12 . 305.946 +INF . 13 . 345.654 +INF . 14 . 389.853 +INF . 15 . 439.044 +INF . 16 . 493.776 +INF . 17 . 554.660 +INF . 18 . 622.373 +INF . 19 . 697.663 +INF . 20 . 781.382 +INF . 21 . 874.333 +INF . 22 . 979.741 +INF . 23 . 1097.766 +INF . 24 . 1229.299 +INF . 25 . 1375.519 +INF . 26 . 1537.955 +INF . 27 . 1718.176 +INF . 28 . 1918.898 +INF . 29 . 2140.677 +INF . 30 . 2376.252 +INF . 31 . 2617.708 +INF . 32 . 2916.834 +INF . 33 . 3219.652 +INF . 34 . 3505.798 +INF . 35 . 3889.130 +INF . 36 . 4293.460 +INF . 37 . 4741.354 +INF . 38 . 5118.812 +INF . 39 . 5444.749 +INF . 40 . 5749.574 +INF . 41 . 5984.045 +INF . 42 . 6426.584 +INF . 43 . 7188.429 +INF . 44 . 9276.188 +INF . 45 . 12410.095 +INF . 46 . 8819.317 +INF . 47 . 7924.955 +INF . 48 . 7847.496 +INF . 49 . 6775.370 +INF 7.6532E-5 50 . 9305.124 +INF . 51 . 14813.307 +INF . 52 . 16443.678 +INF . 53 . 12640.036 +INF . 54 . 10321.939 +INF . 55 . 9140.739 +INF . 56 . 7632.685 +INF . 57 . 3506.710 +INF . 58 . 10679.860 +INF -2.842E-6 59 . 9476.575 +INF 7.2438E-6 60 . 7552.168 +INF 1.0028E-5 ---- VAR YGROSS Gross world product GROSS of abatement and damages LOWER LEVEL UPPER MARGINAL 1 . 55.667 +INF . 2 . 69.998 +INF . 3 . 85.352 +INF . 4 . 101.944 +INF . 5 . 120.019 +INF . 6 . 139.852 +INF . 7 . 161.738 +INF . 8 . 185.997 +INF . 9 . 212.967 +INF . 10 . 243.010 +INF . 11 . 276.515 +INF . 12 . 313.895 +INF . 13 . 355.618 +INF . 14 . 402.187 +INF . 15 . 454.148 +INF . 16 . 512.093 +INF . 17 . 576.670 +INF . 18 . 648.585 +INF . 19 . 728.594 +INF . 20 . 817.473 +INF . 21 . 915.923 +INF . 22 . 1024.477 +INF . 23 . 1145.647 +INF . 24 . 1280.455 +INF . 25 . 1430.171 +INF . 26 . 1596.393 +INF . 27 . 1780.732 +INF . 28 . 1985.969 +INF . 29 . 2212.633 +INF . 30 . 2453.180 +INF . 31 . 2699.430 +INF . 32 . 3004.736 +INF . 33 . 3313.392 +INF . 34 . 3604.478 +INF . 35 . 3995.020 +INF . 36 . 4406.588 +INF . 37 . 4862.297 +INF . 38 . 5245.257 +INF . 39 . 5575.031 +INF . 40 . 5882.871 +INF . 41 . 6118.493 +INF . 42 . 6566.544 +INF . 43 . 7340.207 +INF . 44 . 9466.114 +INF . 45 . 12656.536 +INF . 46 . 8991.329 +INF . 47 . 8102.123 +INF . 48 . 8026.927 +INF . 49 . 6947.249 +INF . 50 . 9579.042 +INF . 51 . 15351.523 +INF . 52 . 17232.702 +INF . 53 . 13476.892 +INF . 54 . 11086.292 +INF . 55 . 9846.398 +INF . 56 . 8218.934 +INF 1.6120E-5 57 . 3772.957 +INF . 58 . 11605.520 +INF . 59 . 10339.956 +INF . 60 . 8144.332 +INF . ---- VAR YNET Output net of damages equation LOWER LEVEL UPPER MARGINAL 1 -INF 55.583 +INF . 2 -INF 69.819 +INF . 3 -INF 85.024 +INF . 4 -INF 101.399 +INF . 5 -INF 119.173 +INF . 6 -INF 138.601 +INF . 7 -INF 159.962 +INF . 8 -INF 183.552 +INF . 9 -INF 209.685 +INF . 10 -INF 238.699 +INF . 11 -INF 270.953 +INF . 12 -INF 306.871 +INF . 13 -INF 346.898 +INF . 14 -INF 391.517 +INF . 15 -INF 441.264 +INF . 16 -INF 496.730 +INF . 17 -INF 558.583 +INF . 18 -INF 627.577 +INF . 19 -INF 704.560 +INF . 20 -INF 790.456 +INF . 21 -INF 886.195 +INF . 22 -INF 992.359 +INF . 23 -INF 1111.210 +INF . 24 -INF 1243.637 +INF . 25 -INF 1390.822 +INF . 26 -INF 1554.300 +INF . 27 -INF 1735.645 +INF . 28 -INF 1937.589 +INF . 29 -INF 2160.681 +INF . 30 -INF 2397.582 +INF . 31 -INF 2640.309 +INF . 32 -INF 2941.087 +INF . 33 -INF 3245.465 +INF . 34 -INF 3532.932 +INF . 35 -INF 3918.220 +INF . 36 -INF 4324.532 +INF . 37 -INF 4774.587 +INF . 38 -INF 5153.598 +INF . 39 -INF 5480.659 +INF . 40 -INF 5786.412 +INF . 41 -INF 6021.327 +INF . 42 -INF 6465.552 +INF . 43 -INF 7230.888 +INF . 44 -INF 9329.606 +INF . 45 -INF 12479.826 +INF . 46 -INF 8856.882 +INF . 47 -INF 7967.452 +INF . 48 -INF 7880.295 +INF . 49 -INF 6801.091 +INF . 50 -INF 9336.638 +INF . 51 -INF 14866.681 +INF . 52 -INF 16470.803 +INF . 53 -INF 12697.213 +INF . 54 -INF 10366.498 +INF . 55 -INF 9181.491 +INF . 56 -INF 7667.008 +INF . 57 -INF 3506.710 +INF . 58 -INF 10725.052 +INF . 59 -INF 9484.434 +INF . 60 -INF 7579.075 +INF . ---- VAR DAMAGES Damages LOWER LEVEL UPPER MARGINAL 1 -INF 0.084 +INF . 2 -INF 0.179 +INF . 3 -INF 0.328 +INF . 4 -INF 0.545 +INF . 5 -INF 0.847 +INF . 6 -INF 1.251 +INF . 7 -INF 1.776 +INF . 8 -INF 2.445 +INF . 9 -INF 3.282 +INF . 10 -INF 4.311 +INF . 11 -INF 5.562 +INF . 12 -INF 7.024 +INF . 13 -INF 8.721 +INF . 14 -INF 10.670 +INF . 15 -INF 12.884 +INF . 16 -INF 15.363 +INF . 17 -INF 18.087 +INF . 18 -INF 21.008 +INF . 19 -INF 24.034 +INF . 20 -INF 27.017 +INF . 21 -INF 29.728 +INF . 22 -INF 32.118 +INF . 23 -INF 34.437 +INF . 24 -INF 36.818 +INF . 25 -INF 39.349 +INF . 26 -INF 42.093 +INF . 27 -INF 45.087 +INF . 28 -INF 48.380 +INF . 29 -INF 51.952 +INF . 30 -INF 55.598 +INF . 31 -INF 59.121 +INF . 32 -INF 63.649 +INF . 33 -INF 67.927 +INF . 34 -INF 71.547 +INF . 35 -INF 76.800 +INF . 36 -INF 82.056 +INF . 37 -INF 87.710 +INF . 38 -INF 91.659 +INF . 39 -INF 94.372 +INF . 40 -INF 96.458 +INF . 41 -INF 97.166 +INF . 42 -INF 100.992 +INF . 43 -INF 109.319 +INF . 44 -INF 136.508 +INF . 45 -INF 176.709 +INF . 46 -INF 134.447 +INF . 47 -INF 134.671 +INF . 48 -INF 146.631 +INF . 49 -INF 146.159 +INF . 50 -INF 242.403 +INF . 51 -INF 484.842 +INF . 52 -INF 761.899 +INF . 53 -INF 779.679 +INF . 54 -INF 719.794 +INF . 55 -INF 664.907 +INF . 56 -INF 551.926 +INF . 57 -INF 266.247 +INF . 58 -INF 880.468 +INF . 59 -INF 855.522 +INF . 60 -INF 565.257 +INF . ---- VAR ABATECOST Cost of emissions reductions LOWER LEVEL UPPER MARGINAL 1 -INF 1.3292E-5 +INF . 2 -INF 0.021 +INF . 3 -INF 0.035 +INF . 4 -INF 0.056 +INF . 5 -INF 0.086 +INF . 6 -INF 0.128 +INF . 7 -INF 0.185 +INF . 8 -INF 0.264 +INF . 9 -INF 0.369 +INF . 10 -INF 0.510 +INF . 11 -INF 0.697 +INF . 12 -INF 0.946 +INF . 13 -INF 1.275 +INF . 14 -INF 1.710 +INF . 15 -INF 2.285 +INF . 16 -INF 3.045 +INF . 17 -INF 4.050 +INF . 18 -INF 5.378 +INF . 19 -INF 7.132 +INF . 20 -INF 9.384 +INF . 21 -INF 12.260 +INF . 22 -INF 13.027 +INF . 23 -INF 13.861 +INF . 24 -INF 14.762 +INF . 25 -INF 15.736 +INF . 26 -INF 16.788 +INF . 27 -INF 17.923 +INF . 28 -INF 19.158 +INF . 29 -INF 20.484 +INF . 30 -INF 21.825 +INF . 31 -INF 23.107 +INF . 32 -INF 24.778 +INF . 33 -INF 26.354 +INF . 34 -INF 27.683 +INF . 35 -INF 29.661 +INF . 36 -INF 31.661 +INF . 37 -INF 33.844 +INF . 38 -INF 35.405 +INF . 39 -INF 36.529 +INF . 40 -INF 37.453 +INF . 41 -INF 37.883 +INF . 42 -INF 39.577 +INF . 43 -INF 43.101 +INF . 44 -INF 54.199 +INF . 45 -INF 70.718 +INF . 46 -INF 38.135 +INF . 47 -INF 43.214 +INF . 48 -INF 33.410 +INF . 49 -INF 26.274 +INF . 50 -INF 32.332 +INF . 51 -INF 55.115 +INF . 52 -INF 28.379 +INF . 53 -INF 60.687 +INF . 54 -INF 47.652 +INF . 55 -INF 43.703 +INF . 56 -INF 36.794 +INF . 57 -INF . +INF . 58 -INF 48.902 +INF . 59 -INF 8.568 +INF . 60 -INF 28.914 +INF . ---- VAR CCA Cumulative industrial carbon emissions GTC LOWER LEVEL UPPER MARGINAL 1 . . 6000.000 . 2 . 85.320 6000.000 . 3 . 168.945 6000.000 . 4 . 259.423 6000.000 . 5 . 355.781 6000.000 . 6 . 457.200 6000.000 . 7 . 562.967 6000.000 . 8 . 672.418 6000.000 . 9 . 784.893 6000.000 . 10 . 899.692 6000.000 . 11 . 1016.030 6000.000 . 12 . 1132.995 6000.000 . 13 . 1249.491 6000.000 . 14 . 1364.176 6000.000 . 15 . 1475.400 6000.000 . 16 . 1581.142 6000.000 . 17 . 1678.929 6000.000 . 18 . 1765.753 6000.000 . 19 . 1837.960 6000.000 . 20 . 1891.155 6000.000 . 21 . 1920.965 6000.000 . 22 . 1922.303 6000.000 . 23 . 1923.506 6000.000 . 24 . 1924.590 6000.000 . 25 . 1925.564 6000.000 . 26 . 1926.442 6000.000 . 27 . 1927.232 6000.000 . 28 . 1927.942 6000.000 . 29 . 1928.582 6000.000 . 30 . 1929.158 6000.000 . 31 . 1929.676 6000.000 . 32 . 1930.142 6000.000 . 33 . 1930.562 6000.000 . 34 . 1930.939 6000.000 . 35 . 1931.279 6000.000 . 36 . 1931.585 6000.000 . 37 . 1931.861 6000.000 . 38 . 1932.108 6000.000 . 39 . 1932.331 6000.000 . 40 . 1932.532 6000.000 . 41 . 1932.713 6000.000 . 42 . 1932.875 6000.000 . 43 . 1933.022 6000.000 . 44 . 1933.153 6000.000 . 45 . 1933.272 6000.000 . 46 . 1933.379 6000.000 . 47 . 2116.350 6000.000 . 48 . 2116.436 6000.000 . 49 . 2258.333 6000.000 . 50 . 2416.724 6000.000 . 51 . 2693.455 6000.000 . 52 . 3044.089 6000.000 . 53 . 4213.930 6000.000 . 54 . 4261.006 6000.000 . 55 . 4321.949 6000.000 . 56 . 4340.274 6000.000 . 57 . 4340.307 6000.000 . 58 . 5090.005 6000.000 . 59 . 5112.839 6000.000 . 60 . 6000.000 6000.000 -2.750E-8 ---- VAR PERIODU One period utility function LOWER LEVEL UPPER MARGINAL 1 -INF -150.141 +INF . 2 -INF -129.511 +INF . 3 -INF -112.073 +INF . 4 -INF -97.317 +INF . 5 -INF -84.771 +INF . 6 -INF -74.045 +INF . 7 -INF -64.829 +INF . 8 -INF -56.877 +INF . 9 -INF -49.989 +INF . 10 -INF -44.005 +INF . 11 -INF -38.791 +INF . 12 -INF -34.235 +INF . 13 -INF -30.244 +INF . 14 -INF -26.742 +INF . 15 -INF -23.664 +INF . 16 -INF -20.954 +INF . 17 -INF -18.563 +INF . 18 -INF -16.450 +INF . 19 -INF -14.578 +INF . 20 -INF -12.914 +INF . 21 -INF -11.431 +INF . 22 -INF -10.098 +INF . 23 -INF -8.910 +INF . 24 -INF -7.856 +INF . 25 -INF -6.923 +INF . 26 -INF -6.096 +INF . 27 -INF -5.366 +INF . 28 -INF -4.710 +INF . 29 -INF -4.102 +INF . 30 -INF -3.556 +INF . 31 -INF -3.184 +INF . 32 -INF -2.726 +INF . 33 -INF -2.317 +INF . 34 -INF -2.093 +INF . 35 -INF -1.782 +INF . 36 -INF -1.525 +INF . 37 -INF -1.229 +INF . 38 -INF -1.014 +INF . 39 -INF -0.855 +INF . 40 -INF -0.711 +INF . 41 -INF -0.654 +INF . 42 -INF -0.580 +INF . 43 -INF -0.713 +INF . 44 -INF -0.907 +INF . 45 -INF 0.334 +INF . 46 -INF -0.014 +INF . 47 -INF -0.140 +INF . 48 -INF -0.111 +INF . 49 -INF -0.418 +INF . 50 -INF -0.365 +INF . 51 -INF 0.281 +INF . 52 -INF 0.475 +INF . 53 -INF 0.313 +INF . 54 -INF 0.156 +INF . 55 -INF 0.055 +INF . 56 -INF -0.120 +INF . 57 -INF -1.724 +INF . 58 -INF 0.189 +INF . 59 -INF 0.092 +INF . 60 -INF -0.135 +INF . LOWER LEVEL UPPER MARGINAL ---- VAR UTILITY -INF 1.5024E+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 00:05:43 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 319 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 = 0.006 SECONDS 3 Mb LEX237-237 Jul 7, 2011 EXECUTION TIME = 0.017 SECONDS 3 Mb LEX237-237 Jul 7, 2011 GAMS Rev 237 LEX-LEG 23.7.1 x86_64/Linux 09/14/11 00:05:43 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 319 S O L V E S U M M A R Y MODEL CO2 OBJECTIVE UTILITY TYPE NLP DIRECTION MAXIMIZE SOLVER MINOS FROM LINE 319 **** SOLVER STATUS 1 Normal Completion **** MODEL STATUS 2 Locally Optimal **** OBJECTIVE VALUE 150236.2088 RESOURCE USAGE, LIMIT 0.010 99999.000 ITERATION COUNT, LIMIT 2 99900 EVALUATION ERRORS 0 0 GAMS/MINOS Jul 14, 2011 23.7.1 LEX 26779.26792 LEG x86_64/Linux M I N O S 5.51 (Jun 2004) GAMS/MINOS 5.51, Large Scale Nonlinear Solver B. A. Murtagh, University of New South Wales P. E. Gill, University of California at San Diego, W. Murray, M. A. Saunders, and M. H. Wright, Systems Optimization Laboratory, Stanford University Work space allocated -- 4.03 Mb EXIT - Optimal Solution found, objective: 150236.2 ---- EQU CCTFIRST First period cumulative carbon LOWER LEVEL UPPER MARGINAL 1 . . . 2.7508E-8 ---- EQU CCACCA Cumulative carbon emissions LOWER LEVEL UPPER MARGINAL 2 . . . 2.7508E-8 3 . . . 2.7508E-8 4 . . . 2.7508E-8 5 . . . 2.7508E-8 6 . . . 2.7508E-8 7 . . . 2.7508E-8 8 . . . 2.7508E-8 9 . . . 2.7508E-8 10 . . . 2.7508E-8 11 . . . 2.7508E-8 12 . . . 2.7508E-8 13 . . . 2.7508E-8 14 . . . 2.7508E-8 15 . . . 2.7508E-8 16 . . . 2.7508E-8 17 . . . 2.7508E-8 18 . . . 2.7508E-8 19 . . . 2.7508E-8 20 . . . 2.7508E-8 21 . . . 2.7508E-8 22 . . . 2.7508E-8 23 . . . 2.7508E-8 24 . . . 2.7508E-8 25 . . . 2.7508E-8 26 . . . 2.7508E-8 27 . . . 2.7508E-8 28 . . . 2.7508E-8 29 . . . 2.7508E-8 30 . . . 2.7508E-8 31 . . . 2.7508E-8 32 . . . 2.7508E-8 33 . . . 2.7508E-8 34 . . . 2.7508E-8 35 . . . 2.7508E-8 36 . . . 2.7508E-8 37 . . . 2.7508E-8 38 . . . 2.7508E-8 39 . . . 2.7508E-8 40 . . . 2.7508E-8 41 . . . 2.7508E-8 42 . . . 2.7508E-8 43 . . . 2.7508E-8 44 . . . 2.7508E-8 45 . . . 2.7508E-8 46 . . . 2.7508E-8 47 . . . 2.7508E-8 48 . . . 2.7508E-8 49 . . . 2.7508E-8 50 . . . 2.7508E-8 51 . . . 2.7508E-8 52 . . . 2.7508E-8 53 . . . 2.7508E-8 54 . . . 2.7508E-8 55 . . . 2.7508E-8 56 . . . 2.7508E-8 57 . . . 2.7508E-8 58 . . . 2.7508E-8 59 . . . 2.7508E-8 60 . . . 2.7508E-8 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 . . . 1177.503 2 . . . 756.535 3 . . . 489.319 4 . . . 318.768 5 . . . 209.043 6 . . . 137.892 7 . . . 91.427 8 . . . 60.896 9 . . . 40.726 10 . . . 27.339 11 . . . 18.415 12 . . . 12.442 13 . . . 8.430 14 . . . 5.727 15 . . . 3.900 16 . . . 2.663 17 . . . 1.822 18 . . . 1.249 19 . . . 0.858 20 . . . 0.590 21 . . . 0.406 22 . . . 0.279 23 . . . 0.191 24 . . . 0.132 25 . . . 0.091 26 . . . 0.063 27 . . . 0.044 28 . . . 0.030 29 . . . 0.021 30 . . . 0.014 31 . . . 0.010 32 . . . 0.007 33 . . . 0.005 34 . . . 0.004 35 . . . 0.003 36 . . . 0.002 37 . . . 0.001 38 . . . 8.4697E-4 39 . . . 6.1885E-4 40 . . . 4.5383E-4 41 . . . 3.6567E-4 42 . . . 2.8751E-4 43 . . . 2.9102E-4 44 . . . 3.1091E-4 45 . . . 3.2683E-5 46 . . . 6.5282E-5 47 . . . 7.1085E-5 48 . . . 5.8175E-5 49 . . . 8.1594E-5 50 . . . 6.5174E-5 51 . . . 1.5577E-5 52 . . . 7.1596E-6 53 . . . 1.0563E-5 54 . . . 1.3738E-5 55 . . . 1.4830E-5 56 . . . 1.7947E-5 57 . . . 9.1570E-5 58 . . . 6.9960E-6 59 . . . 3.0956E-7 60 . . . 1.3491E-7 ---- EQU YNETEQ Output net of damages equation LOWER LEVEL UPPER MARGINAL 1 . . . EPS 2 . . . EPS 3 . . . EPS 4 . . . EPS 5 . . . EPS 6 . . . EPS 7 . . . EPS 8 . . . EPS 9 . . . EPS 10 . . . EPS 11 . . . EPS 12 . . . EPS 13 . . . EPS 14 . . . EPS 15 . . . EPS 16 . . . EPS 17 . . . EPS 18 . . . EPS 19 . . . EPS 20 . . . EPS 21 . . . EPS 22 . . . EPS 23 . . . EPS 24 . . . EPS 25 . . . EPS 26 . . . EPS 27 . . . EPS 28 . . . EPS 29 . . . EPS 30 . . . EPS 31 . . . EPS 32 . . . EPS 33 . . . EPS 34 . . . EPS 35 . . . EPS 36 . . . EPS 37 . . . EPS 38 . . . EPS 39 . . . EPS 40 . . . EPS 41 . . . EPS 42 . . . EPS 43 . . . EPS 44 . . . EPS 45 . . . EPS 46 . . . EPS 47 . . . EPS 48 . . . EPS 49 . . . EPS 50 . . . EPS 51 . . . EPS 52 . . . EPS 53 . . . EPS 54 . . . EPS 55 . . . EPS 56 . . . EPS 57 . . . EPS 58 . . . EPS 59 . . . EPS 60 . . . EPS ---- EQU YGROSSEQ Output gross equation LOWER LEVEL UPPER MARGINAL 1 . . . 1175.720 2 . . . 754.374 3 . . . 487.238 4 . . . 316.888 5 . . . 207.419 6 . . . 136.534 7 . . . 90.319 8 . . . 60.010 9 . . . 40.029 10 . . . 26.797 11 . . . 17.999 12 . . . 12.127 13 . . . 8.194 14 . . . 5.551 15 . . . 3.770 16 . . . 2.567 17 . . . 1.752 18 . . . 1.198 19 . . . 0.821 20 . . . 0.564 21 . . . 0.387 22 . . . 0.266 23 . . . 0.183 24 . . . 0.126 25 . . . 0.087 26 . . . 0.060 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 . . . 0.002 36 . . . 0.002 37 . . . 0.001 38 . . . 8.2655E-4 39 . . . 6.0439E-4 40 . . . 4.4355E-4 41 . . . 3.5763E-4 42 . . . 2.8138E-4 43 . . . 2.8500E-4 44 . . . 3.0468E-4 45 . . . 3.2047E-5 46 . . . 6.4033E-5 47 . . . 6.9530E-5 48 . . . 5.6874E-5 49 . . . 7.9575E-5 50 . . . 6.3311E-5 51 . . . 1.5031E-5 52 . . . 6.8318E-6 53 . . . 9.9071E-6 54 . . . 1.2791E-5 55 . . . 1.3768E-5 56 . . . 5.6161E-7 57 . . . 8.5109E-5 58 . . . 6.4376E-6 59 . . . 2.8370E-7 60 . . . 1.2510E-7 ---- EQU DAMEQ Damage equation LOWER LEVEL UPPER MARGINAL 1 . . . EPS 2 . . . EPS 3 . . . EPS 4 . . . EPS 5 . . . EPS 6 . . . EPS 7 . . . EPS 8 . . . EPS 9 . . . EPS 10 . . . EPS 11 . . . EPS 12 . . . EPS 13 . . . EPS 14 . . . EPS 15 . . . EPS 16 . . . EPS 17 . . . EPS 18 . . . EPS 19 . . . EPS 20 . . . EPS 21 . . . EPS 22 . . . EPS 23 . . . EPS 24 . . . EPS 25 . . . EPS 26 . . . EPS 27 . . . EPS 28 . . . EPS 29 . . . EPS 30 . . . EPS 31 . . . EPS 32 . . . EPS 33 . . . EPS 34 . . . EPS 35 . . . EPS 36 . . . EPS 37 . . . EPS 38 . . . EPS 39 . . . EPS 40 . . . EPS 41 . . . EPS 42 . . . EPS 43 . . . EPS 44 . . . EPS 45 . . . EPS 46 . . . EPS 47 . . . EPS 48 . . . EPS 49 . . . EPS 50 . . . EPS 51 . . . EPS 52 . . . EPS 53 . . . EPS 54 . . . EPS 55 . . . EPS 56 . . . EPS 57 . . . EPS 58 . . . EPS 59 . . . EPS 60 . . . EPS ---- EQU ABATEEQ Cost of emissions reductions equation LOWER LEVEL UPPER MARGINAL 1 . . . EPS 2 . . . EPS 3 . . . EPS 4 . . . EPS 5 . . . EPS 6 . . . EPS 7 . . . EPS 8 . . . EPS 9 . . . EPS 10 . . . EPS 11 . . . EPS 12 . . . EPS 13 . . . EPS 14 . . . EPS 15 . . . EPS 16 . . . EPS 17 . . . EPS 18 . . . EPS 19 . . . EPS 20 . . . EPS 21 . . . EPS 22 . . . EPS 23 . . . EPS 24 . . . EPS 25 . . . EPS 26 . . . EPS 27 . . . EPS 28 . . . EPS 29 . . . EPS 30 . . . EPS 31 . . . EPS 32 . . . EPS 33 . . . EPS 34 . . . EPS 35 . . . EPS 36 . . . EPS 37 . . . EPS 38 . . . 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 . . . 1177.503 2 . . . 756.535 3 . . . 489.319 4 . . . 318.768 5 . . . 209.043 6 . . . 137.892 7 . . . 91.427 8 . . . 60.896 9 . . . 40.726 10 . . . 27.339 11 . . . 18.415 12 . . . 12.442 13 . . . 8.430 14 . . . 5.727 15 . . . 3.900 16 . . . 2.663 17 . . . 1.822 18 . . . 1.249 19 . . . 0.858 20 . . . 0.590 21 . . . 0.406 22 . . . 0.279 23 . . . 0.191 24 . . . 0.132 25 . . . 0.091 26 . . . 0.063 27 . . . 0.044 28 . . . 0.030 29 . . . 0.021 30 . . . 0.014 31 . . . 0.010 32 . . . 0.007 33 . . . 0.005 34 . . . 0.004 35 . . . 0.003 36 . . . 0.002 37 . . . 0.001 38 . . . 8.4697E-4 39 . . . 6.1885E-4 40 . . . 4.5383E-4 41 . . . 3.6567E-4 42 . . . 2.8751E-4 43 . . . 2.9102E-4 44 . . . 3.1091E-4 45 . . . 3.2683E-5 46 . . . 6.5282E-5 47 . . . 7.1085E-5 48 . . . 5.8175E-5 49 . . . 8.1594E-5 50 . . . 6.5174E-5 51 . . . 1.5577E-5 52 . . . 7.1596E-6 53 . . . 1.0563E-5 54 . . . 1.3738E-5 55 . . . 1.4830E-5 56 . . . 1.7947E-5 57 . . . 9.1570E-5 58 . . . 6.9960E-6 59 . . . 7.5533E-6 60 . . . 1.0163E-5 ---- EQU KK Capital balance equation LOWER LEVEL UPPER MARGINAL 1 -INF . . 117.750 2 -INF . . 75.654 3 -INF . . 48.932 4 -INF . . 31.877 5 -INF . . 20.904 6 -INF . . 13.789 7 -INF . . 9.143 8 -INF . . 6.090 9 -INF . . 4.073 10 -INF . . 2.734 11 -INF . . 1.841 12 -INF . . 1.244 13 -INF . . 0.843 14 -INF . . 0.573 15 -INF . . 0.390 16 -INF . . 0.266 17 -INF . . 0.182 18 -INF . . 0.125 19 -INF . . 0.086 20 -INF . . 0.059 21 -INF . . 0.041 22 -INF . . 0.028 23 -INF . . 0.019 24 -INF . . 0.013 25 -INF . . 0.009 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 . . 7.0847E-4 33 -INF . . 4.8382E-4 34 -INF . . 3.6242E-4 35 -INF . . 2.5259E-4 36 -INF . . 1.7926E-4 37 -INF . . 1.2044E-4 38 -INF . . 8.4697E-5 39 -INF . . 6.1885E-5 40 -INF . . 4.5383E-5 41 -INF . . 3.6567E-5 42 -INF . . 2.8751E-5 43 -INF . . 2.9102E-5 44 -INF . . 3.1091E-5 45 -INF . . 3.2683E-6 46 -INF . . 6.5282E-6 47 -INF . . 7.1085E-6 48 -INF . . 5.8175E-6 49 -INF . . 8.1594E-6 50 -INF . . 6.5174E-6 51 -INF . . 1.5577E-6 52 -INF . . 7.1596E-7 53 -INF . . 1.0563E-6 54 -INF . . 1.3738E-6 55 -INF . . 1.4830E-6 56 -INF . . 1.7947E-6 57 -INF . . 9.1570E-6 58 -INF . . 6.9960E-7 59 -INF . . 7.5533E-7 60 -INF . . 1.0163E-6 ---- EQU KK0 Initial condition for capital LOWER LEVEL UPPER MARGINAL 1 137.000 137.000 137.000 183.853 ---- EQU InvestCond investment condition LOWER LEVEL UPPER MARGINAL 60 . . +INF . ---- 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 -3.212 2 9.900 9.900 9.900 -3.162 3 8.910 8.910 8.910 -2.602 4 8.019 8.019 8.019 -2.108 5 7.217 7.217 7.217 -1.688 6 6.495 6.495 6.495 -1.339 7 5.846 5.846 5.846 -1.056 8 5.261 5.261 5.261 -0.828 9 4.735 4.735 4.735 -0.647 10 4.262 4.262 4.262 -0.504 11 3.835 3.835 3.835 -0.392 12 3.452 3.452 3.452 -0.304 13 3.107 3.107 3.107 -0.236 14 2.796 2.796 2.796 -0.183 15 2.516 2.516 2.516 -0.142 16 2.265 2.265 2.265 -0.110 17 2.038 2.038 2.038 -0.086 18 1.834 1.834 1.834 -0.067 19 1.651 1.651 1.651 -0.052 20 1.486 1.486 1.486 -0.041 21 1.337 1.337 1.337 -0.032 22 1.204 1.204 1.204 -0.025 23 1.083 1.083 1.083 -0.019 24 0.975 0.975 0.975 -0.015 25 0.877 0.877 0.877 -0.011 26 0.790 0.790 0.790 -0.009 27 0.711 0.711 0.711 -0.007 28 0.640 0.640 0.640 -0.005 29 0.576 0.576 0.576 -0.004 30 0.518 0.518 0.518 -0.003 31 0.466 0.466 0.466 -0.002 32 0.420 0.420 0.420 -0.002 33 0.378 0.378 0.378 -0.002 34 0.340 0.340 0.340 -0.001 35 0.306 0.306 0.306 -9.140E-4 36 0.275 0.275 0.275 -7.148E-4 37 0.248 0.248 0.248 -5.649E-4 38 0.223 0.223 0.223 -4.529E-4 39 0.201 0.201 0.201 -3.669E-4 40 0.181 0.181 0.181 -2.984E-4 41 0.163 0.163 0.163 -2.397E-4 42 0.146 0.146 0.146 -1.846E-4 43 0.132 0.132 0.132 -1.273E-4 44 0.119 0.119 0.119 -6.855E-5 45 0.107 0.107 0.107 -2.865E-5 46 0.096 0.096 0.096 -3.536E-6 47 0.086 0.086 0.086 -2.456E-5 48 0.078 0.078 0.078 -3.165E-6 49 0.070 0.070 0.070 -4.202E-6 50 0.063 0.063 0.063 -3.135E-6 51 0.057 0.057 0.057 -7.816E-7 52 0.051 0.051 0.051 -2.167E-7 53 0.046 0.046 0.046 -6.069E-7 54 0.041 0.041 0.041 -7.666E-7 55 0.037 0.037 0.037 -3.440E-6 56 0.033 0.033 0.033 -1.016E-6 57 0.030 0.030 0.030 1.0495E-6 58 0.027 0.027 0.027 -3.945E-7 59 0.024 0.024 0.024 -6.108E-9 60 0.022 0.022 0.022 -6.932E-9 ---- EQU SEQ Savings rate 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 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 -161.114 3 0.012 0.012 0.012 -147.315 4 0.048 0.048 0.048 -130.188 5 0.084 0.084 0.084 -112.265 6 0.120 0.120 0.120 -95.048 7 0.156 0.156 0.156 -79.343 8 0.192 0.192 0.192 -65.496 9 0.228 0.228 0.228 -53.575 10 0.264 0.264 0.264 -43.485 11 0.300 0.300 0.300 -35.048 12 0.300 0.300 0.300 -28.048 13 0.300 0.300 0.300 -22.319 14 0.300 0.300 0.300 -17.671 15 0.300 0.300 0.300 -13.925 16 0.300 0.300 0.300 -10.921 17 0.300 0.300 0.300 -8.521 18 0.300 0.300 0.300 -6.610 19 0.300 0.300 0.300 -5.094 20 0.300 0.300 0.300 -3.896 21 0.300 0.300 0.300 -2.958 22 0.300 0.300 0.300 -2.236 23 0.300 0.300 0.300 -1.688 24 0.300 0.300 0.300 -1.275 25 0.300 0.300 0.300 -0.965 26 0.300 0.300 0.300 -0.732 27 0.300 0.300 0.300 -0.556 28 0.300 0.300 0.300 -0.421 29 0.300 0.300 0.300 -0.319 30 0.300 0.300 0.300 -0.243 31 0.300 0.300 0.300 -0.187 32 0.300 0.300 0.300 -0.142 33 0.300 0.300 0.300 -0.108 34 0.300 0.300 0.300 -0.084 35 0.300 0.300 0.300 -0.064 36 0.300 0.300 0.300 -0.049 37 0.300 0.300 0.300 -0.037 38 0.300 0.300 0.300 -0.028 39 0.300 0.300 0.300 -0.022 40 0.300 0.300 0.300 -0.018 41 0.300 0.300 0.300 -0.016 42 0.300 0.300 0.300 -0.014 43 0.300 0.300 0.300 -0.013 44 0.300 0.300 0.300 -0.011 45 0.300 0.300 0.300 -0.004 46 0.300 0.300 0.300 -0.005 47 0.300 0.300 0.300 -0.005 48 0.300 0.300 0.300 -0.004 49 0.300 0.300 0.300 -0.004 50 0.300 0.300 0.300 -0.004 51 0.300 0.300 0.300 -0.002 52 0.300 0.300 0.300 -0.002 53 0.300 0.300 0.300 -0.002 54 0.300 0.300 0.300 -0.002 55 0.300 0.300 0.300 -0.002 56 0.300 0.300 0.300 -0.002 57 0.300 0.300 0.300 -0.002 58 0.300 0.300 0.300 -4.789E-4 59 0.300 0.300 0.300 -2.293E-5 60 0.300 0.300 0.300 -6.071E-6 ---- EQU MMAT0 Starting atmospheric concentration LOWER LEVEL UPPER MARGINAL 1 808.900 808.900 808.900 -2.790 ---- EQU MMAT Atmospheric concentration equation LOWER LEVEL UPPER MARGINAL 2 . . . -3.212 3 . . . -3.162 4 . . . -2.602 5 . . . -2.108 6 . . . -1.688 7 . . . -1.339 8 . . . -1.056 9 . . . -0.828 10 . . . -0.647 11 . . . -0.504 12 . . . -0.392 13 . . . -0.304 14 . . . -0.236 15 . . . -0.183 16 . . . -0.142 17 . . . -0.110 18 . . . -0.086 19 . . . -0.067 20 . . . -0.052 21 . . . -0.041 22 . . . -0.032 23 . . . -0.025 24 . . . -0.019 25 . . . -0.015 26 . . . -0.011 27 . . . -0.009 28 . . . -0.007 29 . . . -0.005 30 . . . -0.004 31 . . . -0.003 32 . . . -0.002 33 . . . -0.002 34 . . . -0.002 35 . . . -0.001 36 . . . -9.140E-4 37 . . . -7.149E-4 38 . . . -5.649E-4 39 . . . -4.529E-4 40 . . . -3.669E-4 41 . . . -2.984E-4 42 . . . -2.398E-4 43 . . . -1.846E-4 44 . . . -1.273E-4 45 . . . -6.857E-5 46 . . . -2.868E-5 47 . . . -3.564E-6 48 . . . -2.458E-5 49 . . . -3.193E-6 50 . . . -4.229E-6 51 . . . -3.162E-6 52 . . . -8.091E-7 53 . . . -2.442E-7 54 . . . -6.344E-7 55 . . . 2.6246E-6 56 . . . -3.468E-6 57 . . . -1.044E-6 58 . . . 1.0220E-6 59 . . . -4.220E-7 60 . . . -3.362E-8 ---- EQU MMATAVEQ Average concentrations equation LOWER LEVEL UPPER MARGINAL 1 . . . EPS 2 . . . -0.997 3 . . . -0.867 4 . . . -0.730 5 . . . -0.601 6 . . . -0.486 7 . . . -0.389 8 . . . -0.309 9 . . . -0.243 10 . . . -0.191 11 . . . -0.149 12 . . . -0.116 13 . . . -0.090 14 . . . -0.070 15 . . . -0.054 16 . . . -0.042 17 . . . -0.032 18 . . . -0.025 19 . . . -0.020 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 . . . -9.462E-4 32 . . . -7.254E-4 33 . . . -5.604E-4 34 . . . -4.439E-4 35 . . . -3.425E-4 36 . . . -2.642E-4 37 . . . -2.010E-4 38 . . . -1.569E-4 39 . . . -1.259E-4 40 . . . -1.040E-4 41 . . . -9.081E-5 42 . . . -8.189E-5 43 . . . -7.748E-5 44 . . . -6.491E-5 45 . . . -2.576E-5 46 . . . -2.599E-5 47 . . . -2.377E-5 48 . . . -2.182E-5 49 . . . -2.001E-5 50 . . . -1.534E-5 51 . . . -8.118E-6 52 . . . -5.160E-6 53 . . . -4.823E-6 54 . . . -5.419E-6 55 . . . -5.777E-6 56 . . . -6.162E-6 57 . . . -5.386E-6 58 . . . -1.052E-6 59 . . . -4.578E-8 60 . . . -2.146E-8 ---- EQU MMU0 Initial shallow ocean concentration LOWER LEVEL UPPER MARGINAL 1 1255.000 1255.000 1255.000 -1.151 ---- EQU MMU Shallow ocean concentration LOWER LEVEL UPPER MARGINAL 2 . . . -0.983 3 . . . -0.791 4 . . . -0.631 5 . . . -0.499 6 . . . -0.393 7 . . . -0.307 8 . . . -0.240 9 . . . -0.187 10 . . . -0.145 11 . . . -0.113 12 . . . -0.087 13 . . . -0.068 14 . . . -0.053 15 . . . -0.041 16 . . . -0.032 17 . . . -0.025 18 . . . -0.019 19 . . . -0.015 20 . . . -0.012 21 . . . -0.009 22 . . . -0.007 23 . . . -0.005 24 . . . -0.004 25 . . . -0.003 26 . . . -0.003 27 . . . -0.002 28 . . . -0.002 29 . . . -0.001 30 . . . -9.254E-4 31 . . . -7.204E-4 32 . . . -5.616E-4 33 . . . -4.386E-4 34 . . . -3.426E-4 35 . . . -2.679E-4 36 . . . -2.098E-4 37 . . . -1.645E-4 38 . . . -1.285E-4 39 . . . -9.901E-5 40 . . . -7.428E-5 41 . . . -5.310E-5 42 . . . -3.496E-5 43 . . . -1.998E-5 44 . . . -8.947E-6 45 . . . -2.703E-6 46 . . . 6.9655E-8 47 . . . 4.5836E-7 48 . . . 3.3108E-6 49 . . . 4.2179E-6 50 . . . 5.4007E-6 51 . . . 6.6671E-6 52 . . . 7.8853E-6 53 . . . 9.2509E-6 54 . . . 1.0899E-5 55 . . . 1.2462E-5 56 . . . 1.4992E-5 57 . . . 1.7685E-5 58 . . . 2.0612E-5 59 . . . 2.4213E-5 60 . . . 2.8397E-5 ---- 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 . . . -9.407E-4 13 . . . -7.312E-4 14 . . . -5.684E-4 15 . . . -4.419E-4 16 . . . -3.435E-4 17 . . . -2.669E-4 18 . . . -2.072E-4 19 . . . -1.607E-4 20 . . . -1.246E-4 21 . . . -9.641E-5 22 . . . -7.457E-5 23 . . . -5.764E-5 24 . . . -4.454E-5 25 . . . -3.439E-5 26 . . . -2.653E-5 27 . . . -2.044E-5 28 . . . -1.571E-5 29 . . . -1.204E-5 30 . . . -9.182E-6 31 . . . -6.957E-6 32 . . . -5.222E-6 33 . . . -3.866E-6 34 . . . -2.806E-6 35 . . . -1.977E-6 36 . . . -1.327E-6 37 . . . -8.167E-7 38 . . . -4.173E-7 39 . . . -1.089E-7 40 . . . 1.2316E-7 41 . . . 2.8966E-7 42 . . . 3.9994E-7 43 . . . 4.6369E-7 44 . . . 4.9313E-7 45 . . . 5.0313E-7 46 . . . 5.0449E-7 47 . . . 5.0463E-7 48 . . . 4.9585E-7 49 . . . 4.8421E-7 50 . . . 4.6883E-7 51 . . . 4.4944E-7 52 . . . 4.2618E-7 53 . . . 3.9857E-7 54 . . . 3.6572E-7 55 . . . 3.2788E-7 56 . . . 2.8201E-7 57 . . . 2.2756E-7 58 . . . 1.6379E-7 59 . . . 8.8558E-8 60 . . . EPS ---- EQU TATMEQ Temperature-climate equation for atmosphere LOWER LEVEL UPPER MARGINAL 2 . . . -732.336 3 . . . -669.615 4 . . . -591.765 5 . . . -510.294 6 . . . -432.039 7 . . . -360.650 8 . . . -297.710 9 . . . -243.523 10 . . . -197.659 11 . . . -159.307 12 . . . -127.493 13 . . . -101.449 14 . . . -80.323 15 . . . -63.297 16 . . . -49.641 17 . . . -38.732 18 . . . -30.045 19 . . . -23.152 20 . . . -17.709 21 . . . -13.447 22 . . . -10.165 23 . . . -7.673 24 . . . -5.797 25 . . . -4.387 26 . . . -3.326 27 . . . -2.525 28 . . . -1.916 29 . . . -1.451 30 . . . -1.103 31 . . . -0.851 32 . . . -0.643 33 . . . -0.490 34 . . . -0.383 35 . . . -0.292 36 . . . -0.222 37 . . . -0.167 38 . . . -0.129 39 . . . -0.102 40 . . . -0.084 41 . . . -0.072 42 . . . -0.064 43 . . . -0.060 44 . . . -0.050 45 . . . -0.020 46 . . . -0.022 47 . . . -0.021 48 . . . -0.020 49 . . . -0.020 50 . . . -0.017 51 . . . -0.011 52 . . . -0.010 53 . . . -0.010 54 . . . -0.011 55 . . . -0.010 56 . . . -0.010 57 . . . -0.010 58 . . . -0.002 59 . . . -1.042E-4 60 . . . -2.760E-5 ---- EQU TATM0EQ Initial condition for atmospheric temperature LOWER LEVEL UPPER MARGINAL 1 0.731 0.731 0.731 -762.010 ---- EQU TOCEANEQ Temperature-climate equation for lower oceans LOWER LEVEL UPPER MARGINAL 2 . . . -219.483 3 . . . -184.514 4 . . . -153.113 5 . . . -125.720 6 . . . -102.321 7 . . . -82.651 8 . . . -66.318 9 . . . -52.890 10 . . . -41.941 11 . . . -33.081 12 . . . -25.965 13 . . . -20.283 14 . . . -15.771 15 . . . -12.203 16 . . . -9.397 17 . . . -7.200 18 . . . -5.492 19 . . . -4.173 20 . . . -3.162 21 . . . -2.394 22 . . . -1.814 23 . . . -1.376 24 . . . -1.046 25 . . . -0.796 26 . . . -0.607 27 . . . -0.464 28 . . . -0.355 29 . . . -0.273 30 . . . -0.210 31 . . . -0.162 32 . . . -0.126 33 . . . -0.099 34 . . . -0.077 35 . . . -0.061 36 . . . -0.049 37 . . . -0.040 38 . . . -0.033 39 . . . -0.028 40 . . . -0.023 41 . . . -0.020 42 . . . -0.016 43 . . . -0.013 44 . . . -0.010 45 . . . -0.009 46 . . . -0.008 47 . . . -0.007 48 . . . -0.006 49 . . . -0.005 50 . . . -0.004 51 . . . -0.004 52 . . . -0.003 53 . . . -0.003 54 . . . -0.002 55 . . . -0.001 56 . . . -8.168E-4 57 . . . -1.518E-4 58 . . . -8.608E-6 59 . . . -1.821E-6 60 . . . EPS ---- EQU TOCEAN0EQ Initial condition for lower ocean temperature LOWER LEVEL UPPER MARGINAL 1 0.007 0.007 0.007 -256.843 ---- 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 0.005 231.139 2 . 0.159 1.000 . 3 . 0.185 1.000 . 4 . 0.212 1.000 . 5 . 0.240 1.000 . 6 . 0.269 1.000 . 7 . 0.300 1.000 . 8 . 0.333 1.000 . 9 . 0.368 1.000 . 10 . 0.404 1.000 . 11 . 0.443 1.000 . 12 . 0.484 1.000 . 13 . 0.528 1.000 . 14 . 0.574 1.000 . 15 . 0.624 1.000 . 16 . 0.677 1.000 . 17 . 0.734 1.000 . 18 . 0.795 1.000 . 19 . 0.861 1.000 . 20 . 0.929 1.000 . 21 . 1.000 1.000 0.138 22 . 1.000 1.000 1.557 23 . 1.000 1.000 2.323 24 . 1.000 1.000 2.668 25 . 1.000 1.000 2.749 26 . 1.000 1.000 2.671 27 . 1.000 1.000 2.498 28 . 1.000 1.000 2.287 29 . 1.000 1.000 2.073 30 . 1.000 1.000 1.852 31 . 1.000 1.000 1.588 32 . 1.000 1.000 1.405 33 . 1.000 1.000 1.229 34 . 1.000 1.000 1.029 35 . 1.000 1.000 0.891 36 . 1.000 1.000 0.767 37 . 1.000 1.000 0.673 38 . 1.000 1.000 0.581 39 . 1.000 1.000 0.496 40 . 1.000 1.000 0.421 41 . 1.000 1.000 0.345 42 . 1.000 1.000 0.278 43 . 1.000 1.000 0.199 44 . 1.000 1.000 0.113 45 . 1.000 1.000 0.081 46 . 0.914 1.000 . 47 . 1.000 1.000 0.038 48 . 0.922 1.000 . 49 . 0.898 1.000 . 50 . 0.869 1.000 . 51 . 0.895 1.000 . 52 . 0.682 1.000 . 53 . 0.983 1.000 . 54 . 0.973 1.000 . 55 . 1.000 1.000 0.005 56 . 0.986 1.000 . 57 . . 1.000 -7.868E-4 58 . 0.992 1.000 . 59 . 0.557 1.000 . 60 . 0.941 1.000 . ---- VAR FORC Radiative forcing in watts per m2 LOWER LEVEL UPPER MARGINAL 1 -INF 1.791 +INF . 2 -INF 2.143 +INF . 3 -INF 2.453 +INF . 4 -INF 2.757 +INF . 5 -INF 3.050 +INF . 6 -INF 3.330 +INF . 7 -INF 3.597 +INF . 8 -INF 3.851 +INF . 9 -INF 4.091 +INF . 10 -INF 4.316 +INF . 11 -INF 4.527 +INF . 12 -INF 4.686 +INF . 13 -INF 4.827 +INF . 14 -INF 4.948 +INF . 15 -INF 5.046 +INF . 16 -INF 5.116 +INF . 17 -INF 5.154 +INF . 18 -INF 5.152 +INF . 19 -INF 5.100 +INF . 20 -INF 4.989 +INF . 21 -INF 4.802 +INF . 22 -INF 4.594 +INF . 23 -INF 4.420 +INF . 24 -INF 4.273 +INF . 25 -INF 4.145 +INF . 26 -INF 4.031 +INF . 27 -INF 3.928 +INF . 28 -INF 3.833 +INF . 29 -INF 3.744 +INF . 30 -INF 3.660 +INF . 31 -INF 3.579 +INF . 32 -INF 3.502 +INF . 33 -INF 3.428 +INF . 34 -INF 3.355 +INF . 35 -INF 3.285 +INF . 36 -INF 3.217 +INF . 37 -INF 3.150 +INF . 38 -INF 3.085 +INF . 39 -INF 3.021 +INF . 40 -INF 2.959 +INF . 41 -INF 2.899 +INF . 42 -INF 2.840 +INF . 43 -INF 2.782 +INF . 44 -INF 2.726 +INF . 45 -INF 2.671 +INF . 46 -INF 3.142 +INF . 47 -INF 3.489 +INF . 48 -INF 3.656 +INF . 49 -INF 4.166 +INF . 50 -INF 4.834 +INF . 51 -INF 5.676 +INF . 52 -INF 7.521 +INF . 53 -INF 8.371 +INF . 54 -INF 7.857 +INF . 55 -INF 7.403 +INF . 56 -INF 6.996 +INF . 57 -INF 7.656 +INF . 58 -INF 8.145 +INF . 59 -INF 8.671 +INF . 60 -INF 5.541 +INF . ---- VAR TATM Temperature of atmosphere in degrees C LOWER LEVEL UPPER MARGINAL 1 . 0.731 20.000 . 2 . 0.951 20.000 . 3 . 1.166 20.000 . 4 . 1.376 20.000 . 5 . 1.582 20.000 . 6 . 1.783 20.000 . 7 . 1.978 20.000 . 8 . 2.166 20.000 . 9 . 2.348 20.000 . 10 . 2.522 20.000 . 11 . 2.689 20.000 . 12 . 2.840 20.000 . 13 . 2.976 20.000 . 14 . 3.098 20.000 . 15 . 3.207 20.000 . 16 . 3.301 20.000 . 17 . 3.377 20.000 . 18 . 3.434 20.000 . 19 . 3.466 20.000 . 20 . 3.470 20.000 . 21 . 3.438 20.000 . 22 . 3.377 20.000 . 23 . 3.304 20.000 . 24 . 3.229 20.000 . 25 . 3.157 20.000 . 26 . 3.089 20.000 . 27 . 3.025 20.000 . 28 . 2.966 20.000 . 29 . 2.910 20.000 . 30 . 2.858 20.000 . 31 . 2.809 20.000 . 32 . 2.761 20.000 . 33 . 2.715 20.000 . 34 . 2.671 20.000 . 35 . 2.628 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 . 2.312 20.000 . 47 . 2.440 20.000 . 48 . 2.560 20.000 . 49 . 2.751 20.000 . 50 . 3.024 20.000 . 51 . 3.389 20.000 . 52 . 4.037 20.000 . 53 . 4.651 20.000 . 54 . 4.946 20.000 . 55 . 5.046 20.000 . 56 . 5.029 20.000 . 57 . 5.171 20.000 . 58 . 5.379 20.000 . 59 . 5.638 20.000 . 60 . 5.126 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 0.348 20.000 . 8 -1.000 0.430 20.000 . 9 -1.000 0.517 20.000 . 10 -1.000 0.608 20.000 . 11 -1.000 0.704 20.000 . 12 -1.000 0.803 20.000 . 13 -1.000 0.905 20.000 . 14 -1.000 1.009 20.000 . 15 -1.000 1.113 20.000 . 16 -1.000 1.218 20.000 . 17 -1.000 1.322 20.000 . 18 -1.000 1.425 20.000 . 19 -1.000 1.525 20.000 . 20 -1.000 1.622 20.000 . 21 -1.000 1.715 20.000 . 22 -1.000 1.801 20.000 . 23 -1.000 1.880 20.000 . 24 -1.000 1.951 20.000 . 25 -1.000 2.015 20.000 . 26 -1.000 2.072 20.000 . 27 -1.000 2.123 20.000 . 28 -1.000 2.168 20.000 . 29 -1.000 2.208 20.000 . 30 -1.000 2.243 20.000 . 31 -1.000 2.274 20.000 . 32 -1.000 2.300 20.000 . 33 -1.000 2.323 20.000 . 34 -1.000 2.343 20.000 . 35 -1.000 2.359 20.000 . 36 -1.000 2.373 20.000 . 37 -1.000 2.383 20.000 . 38 -1.000 2.391 20.000 . 39 -1.000 2.397 20.000 . 40 -1.000 2.400 20.000 . 41 -1.000 2.401 20.000 . 42 -1.000 2.401 20.000 . 43 -1.000 2.398 20.000 . 44 -1.000 2.393 20.000 . 45 -1.000 2.387 20.000 . 46 -1.000 2.379 20.000 . 47 -1.000 2.376 20.000 . 48 -1.000 2.379 20.000 . 49 -1.000 2.388 20.000 . 50 -1.000 2.407 20.000 . 51 -1.000 2.437 20.000 . 52 -1.000 2.485 20.000 . 53 -1.000 2.563 20.000 . 54 -1.000 2.667 20.000 . 55 -1.000 2.781 20.000 . 56 -1.000 2.894 20.000 . 57 -1.000 3.001 20.000 . 58 -1.000 3.109 20.000 . 59 -1.000 3.223 20.000 . 60 -1.000 3.344 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 10.000 907.851 +INF 3.0253E-6 4 10.000 954.103 +INF 4.8766E-6 5 10.000 1000.969 +INF 3.1883E-6 6 10.000 1047.856 +INF 4.2898E-6 7 10.000 1094.346 +INF 4.9639E-6 8 10.000 1140.110 +INF 5.6815E-6 9 10.000 1184.839 +INF 4.7120E-6 10 10.000 1228.197 +INF 4.7956E-6 11 10.000 1269.785 +INF 5.1998E-6 12 10.000 1309.111 +INF 6.2773E-6 13 10.000 1345.545 +INF 5.6942E-6 14 10.000 1378.283 +INF 6.5353E-6 15 10.000 1406.319 +INF 7.4525E-6 16 10.000 1428.402 +INF 7.7247E-6 17 10.000 1443.001 +INF 1.2550E-5 18 10.000 1448.257 +INF 1.3327E-5 19 10.000 1441.919 +INF 1.6951E-5 20 10.000 1421.305 +INF 1.5414E-4 21 10.000 1384.118 +INF -1.491E-4 22 10.000 1327.615 +INF . 23 10.000 1282.808 +INF . 24 10.000 1246.304 +INF . 25 10.000 1215.741 +INF . 26 10.000 1189.475 +INF . 27 10.000 1166.358 +INF . 28 10.000 1145.588 +INF . 29 10.000 1126.605 +INF . 30 10.000 1109.013 +INF . 31 10.000 1092.534 +INF . 32 10.000 1076.968 +INF . 33 10.000 1062.175 +INF . 34 10.000 1048.050 +INF . 35 10.000 1034.518 +INF . 36 10.000 1021.522 +INF . 37 10.000 1009.018 +INF . 38 10.000 996.973 +INF . 39 10.000 985.359 +INF . 40 10.000 974.153 +INF . 41 10.000 963.336 +INF . 42 10.000 952.891 +INF . 43 10.000 942.803 +INF . 44 10.000 933.057 +INF . 45 10.000 923.642 +INF . 46 10.000 914.546 +INF . 47 10.000 1088.631 +INF -4.062E-5 48 10.000 1045.522 +INF . 49 10.000 1154.436 +INF -2.013E-5 50 10.000 1260.193 +INF -1.475E-5 51 10.000 1467.104 +INF -7.732E-6 52 10.000 1713.122 +INF -4.277E-6 53 10.000 2739.318 +INF -3.199E-6 54 10.000 2459.471 +INF . 55 10.000 2274.705 +INF -8.196E-6 56 10.000 2082.956 +INF . 57 10.000 1963.302 +INF . 58 10.000 2600.316 +INF . 59 10.000 2389.021 +INF 5.2208E-6 60 10.000 3102.523 +INF . ---- VAR MATAV Average concentrations LOWER LEVEL UPPER MARGINAL 1 . 836.004 +INF . 2 . 885.479 +INF . 3 . 930.977 +INF . 4 . 977.536 +INF . 5 . 1024.413 +INF . 6 . 1071.101 +INF . 7 . 1117.228 +INF . 8 . 1162.474 +INF . 9 . 1206.518 +INF . 10 . 1248.991 +INF . 11 . 1289.448 +INF . 12 . 1327.328 +INF . 13 . 1361.914 +INF . 14 . 1392.301 +INF . 15 . 1417.360 +INF . 16 . 1435.702 +INF . 17 . 1445.629 +INF . 18 . 1445.088 +INF . 19 . 1431.612 +INF . 20 . 1402.712 +INF . 21 . 1355.867 +INF . 22 . 1305.212 +INF . 23 . 1264.556 +INF . 24 . 1231.022 +INF . 25 . 1202.608 +INF . 26 . 1177.916 +INF . 27 . 1155.973 +INF . 28 . 1136.097 +INF . 29 . 1117.809 +INF . 30 . 1100.774 +INF . 31 . 1084.751 +INF . 32 . 1069.571 +INF . 33 . 1055.112 +INF . 34 . 1041.284 +INF . 35 . 1028.020 +INF . 36 . 1015.270 +INF . 37 . 1002.996 +INF . 38 . 991.166 +INF . 39 . 979.756 +INF . 40 . 968.745 +INF . 41 . 958.114 +INF . 42 . 947.847 +INF . 43 . 937.930 +INF . 44 . 928.350 +INF . 45 . 919.094 +INF . 46 . 1001.588 +INF . 47 . 1067.077 +INF . 48 . 1099.979 +INF . 49 . 1207.315 +INF . 50 . 1363.648 +INF . 51 . 1590.113 +INF . 52 . 2226.220 +INF . 53 . 2599.395 +INF . 54 . 2367.088 +INF . 55 . 2178.831 +INF . 56 . 2023.129 +INF . 57 . 2281.809 +INF . 58 . 2494.668 +INF . 59 . 2745.772 +INF . 60 . 1551.262 +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 1348.673 +INF . 5 100.000 1388.067 +INF . 6 100.000 1430.565 +INF . 7 100.000 1475.719 +INF . 8 100.000 1523.070 +INF . 9 100.000 1572.164 +INF . 10 100.000 1622.555 +INF . 11 100.000 1673.801 +INF . 12 100.000 1725.449 +INF . 13 100.000 1777.018 +INF . 14 100.000 1827.980 +INF . 15 100.000 1877.735 +INF . 16 100.000 1925.575 +INF . 17 100.000 1970.665 +INF . 18 100.000 2011.999 +INF . 19 100.000 2048.369 +INF . 20 100.000 2078.316 +INF . 21 100.000 2100.089 +INF . 22 100.000 2111.759 +INF . 23 100.000 2111.160 +INF . 24 100.000 2102.313 +INF . 25 100.000 2088.003 +INF . 26 100.000 2070.158 +INF . 27 100.000 2050.108 +INF . 28 100.000 2028.771 +INF . 29 100.000 2006.778 +INF . 30 100.000 1984.558 +INF . 31 100.000 1962.406 +INF . 32 100.000 1940.517 +INF . 33 100.000 1919.023 +INF . 34 100.000 1898.007 +INF . 35 100.000 1877.522 +INF . 36 100.000 1857.598 +INF . 37 100.000 1838.251 +INF . 38 100.000 1819.486 +INF . 39 100.000 1801.300 +INF . 40 100.000 1783.686 +INF . 41 100.000 1766.635 +INF . 42 100.000 1750.134 +INF . 43 100.000 1734.169 +INF . 44 100.000 1718.727 +INF . 45 100.000 1703.792 +INF . 46 100.000 1689.350 +INF . 47 100.000 1675.386 +INF . 48 100.000 1696.501 +INF . 49 100.000 1706.417 +INF . 50 100.000 1735.561 +INF . 51 100.000 1780.506 +INF . 52 100.000 1858.078 +INF . 53 100.000 1970.883 +INF . 54 100.000 2261.425 +INF . 55 100.000 2456.336 +INF . 56 100.000 2587.739 +INF . 57 100.000 2663.690 +INF . 58 100.000 2706.019 +INF . 59 100.000 2862.915 +INF . 60 100.000 2956.944 +INF -2.840E-5 ---- 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 18395.644 +INF . 6 1000.000 18407.679 +INF . 7 1000.000 18421.802 +INF . 8 1000.000 18438.138 +INF . 9 1000.000 18456.791 +INF . 10 1000.000 18477.840 +INF . 11 1000.000 18501.343 +INF . 12 1000.000 18527.335 +INF . 13 1000.000 18555.829 +INF . 14 1000.000 18586.812 +INF . 15 1000.000 18620.247 +INF . 16 1000.000 18656.065 +INF . 17 1000.000 18694.163 +INF . 18 1000.000 18734.397 +INF . 19 1000.000 18776.572 +INF . 20 1000.000 18820.435 +INF . 21 1000.000 18865.658 +INF . 22 1000.000 18911.828 +INF . 23 1000.000 18958.438 +INF . 24 1000.000 19004.873 +INF . 25 1000.000 19050.720 +INF . 26 1000.000 19095.709 +INF . 27 1000.000 19139.666 +INF . 28 1000.000 19182.483 +INF . 29 1000.000 19224.099 +INF . 30 1000.000 19264.486 +INF . 31 1000.000 19303.636 +INF . 32 1000.000 19341.557 +INF . 33 1000.000 19378.264 +INF . 34 1000.000 19413.783 +INF . 35 1000.000 19448.140 +INF . 36 1000.000 19481.365 +INF . 37 1000.000 19513.491 +INF . 38 1000.000 19544.549 +INF . 39 1000.000 19574.572 +INF . 40 1000.000 19603.593 +INF . 41 1000.000 19631.642 +INF . 42 1000.000 19658.751 +INF . 43 1000.000 19684.950 +INF . 44 1000.000 19710.269 +INF . 45 1000.000 19734.738 +INF . 46 1000.000 19758.383 +INF . 47 1000.000 19781.232 +INF . 48 1000.000 19803.313 +INF . 49 1000.000 19826.379 +INF . 50 1000.000 19849.870 +INF . 51 1000.000 19874.745 +INF . 52 1000.000 19901.789 +INF . 53 1000.000 19932.628 +INF . 54 1000.000 19969.011 +INF . 55 1000.000 20019.807 +INF . 56 1000.000 20080.190 +INF . 57 1000.000 20146.956 +INF . 58 1000.000 20217.310 +INF . 59 1000.000 20289.562 +INF . 60 1000.000 20369.433 +INF . ---- VAR E CO2-equivalent emissions GtC LOWER LEVEL UPPER MARGINAL 1 . 85.320 +INF . 2 . 83.624 +INF . 3 . 90.478 +INF . 4 . 96.358 +INF . 5 . 101.419 +INF . 6 . 105.767 +INF . 7 . 109.451 +INF . 8 . 112.476 +INF . 9 . 114.799 +INF . 10 . 116.337 +INF . 11 . 116.965 +INF . 12 . 116.497 +INF . 13 . 114.685 +INF . 14 . 111.224 +INF . 15 . 105.742 +INF . 16 . 97.787 +INF . 17 . 86.824 +INF . 18 . 72.207 +INF . 19 . 53.195 +INF . 20 . 29.810 +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 . 0.119 +INF . 45 . 0.107 +INF . 46 . 182.971 +INF . 47 . 0.086 +INF . 48 . 141.897 +INF . 49 . 158.391 +INF . 50 . 276.731 +INF . 51 . 350.635 +INF . 52 . 1169.840 +INF . 53 . 47.077 +INF . 54 . 60.943 +INF 3.4187E-6 55 . 0.037 +INF . 56 . 23.061 +INF . 57 . 749.698 +INF . 58 . 17.853 +INF . 59 . 887.402 +INF . 60 . 91.376 +INF 6.9322E-9 ---- VAR C Consumption trillions US dollars LOWER LEVEL UPPER MARGINAL 1 20.000 43.099 +INF . 2 20.000 54.632 +INF . 3 20.000 66.896 +INF . 4 20.000 80.047 +INF . 5 20.000 94.270 +INF . 6 20.000 109.768 +INF . 7 20.000 126.760 +INF . 8 20.000 145.481 +INF . 9 20.000 166.174 +INF . 10 20.000 189.103 +INF . 11 20.000 214.545 +INF . 12 20.000 242.816 +INF . 13 20.000 274.249 +INF . 14 20.000 309.199 +INF . 15 20.000 348.054 +INF . 16 20.000 391.236 +INF . 17 20.000 439.218 +INF . 18 20.000 492.531 +INF . 19 20.000 551.804 +INF . 20 20.000 617.867 +INF . 21 20.000 691.649 +INF . 22 20.000 774.773 +INF . 23 20.000 867.707 +INF . 24 20.000 971.016 +INF . 25 20.000 1085.379 +INF . 26 20.000 1211.943 +INF . 27 20.000 1350.897 +INF . 28 20.000 1505.973 +INF . 29 20.000 1685.447 +INF . 30 20.000 1887.756 +INF . 31 20.000 2055.459 +INF . 32 20.000 2307.794 +INF . 33 20.000 2592.311 +INF . 34 20.000 2780.301 +INF . 35 20.000 3091.459 +INF . 36 20.000 3406.398 +INF . 37 20.000 3857.583 +INF . 38 20.000 4270.181 +INF . 39 20.000 4637.208 +INF . 40 20.000 5026.559 +INF . 41 20.000 5198.124 +INF . 42 20.000 5441.692 +INF . 43 20.000 5020.769 +INF . 44 20.000 4508.976 +INF . 45 20.000 12909.383 +INF . 46 20.000 8478.962 +INF . 47 20.000 7542.575 +INF . 48 20.000 7739.456 +INF . 49 20.000 6066.218 +INF . 50 20.000 6300.563 +INF . 51 20.000 11963.061 +INF . 52 20.000 16379.897 +INF . 53 20.000 12517.954 +INF . 54 20.000 10189.096 +INF . 55 20.000 9103.169 +INF . 56 20.000 7681.329 +INF . 57 20.000 3156.668 +INF . 58 20.000 10601.100 +INF . 59 20.000 9470.601 +INF . 60 20.000 7578.733 +INF . ---- VAR K Capital stock trillions US dollars LOWER LEVEL UPPER MARGINAL 1 100.000 137.000 +INF . 2 100.000 172.607 +INF 1.6302E-6 3 100.000 211.844 +INF -9.561E-7 4 100.000 254.795 +INF 1.9243E-7 5 100.000 301.798 +INF 9.1810E-8 6 100.000 353.402 +INF 2.6183E-8 7 100.000 410.289 +INF 8.2581E-8 8 100.000 473.241 +INF 2.8998E-7 9 100.000 543.118 +INF 1.6658E-7 10 100.000 620.849 +INF -2.980E-8 11 100.000 707.431 +INF -1.364E-7 12 100.000 803.912 +INF -1.272E-7 13 100.000 911.605 +INF 2.0683E-7 14 100.000 1031.909 +INF -1.326E-7 15 100.000 1166.341 +INF 4.3670E-7 16 100.000 1316.573 +INF 5.6518E-7 17 100.000 1484.457 +INF 6.0350E-7 18 100.000 1672.026 +INF 1.1451E-6 19 100.000 1881.427 +INF 2.6310E-7 20 100.000 2114.606 +INF -1.239E-5 21 100.000 2372.467 +INF 1.1720E-5 22 100.000 2654.066 +INF 1.4397E-6 23 100.000 2975.092 +INF 2.2270E-6 24 100.000 3337.939 +INF 3.6394E-6 25 100.000 3746.695 +INF 1.1256E-6 26 100.000 4207.794 +INF -1.098E-5 27 100.000 4727.284 +INF -1.231E-5 28 100.000 5321.091 +INF -3.536E-5 29 100.000 5984.600 +INF -6.613E-5 30 100.000 6639.002 +INF -4.764E-5 31 100.000 7199.839 +INF 6.5840E-5 32 100.000 8132.920 +INF -2.717E-5 33 100.000 8926.172 +INF -1.624E-5 34 100.000 9385.769 +INF 4.8668E-5 35 100.000 10527.585 +INF 5.5842E-6 36 100.000 11647.447 +INF 8.1550E-6 37 100.000 12931.842 +INF -4.785E-6 38 100.000 13346.762 +INF 6.5367E-6 39 100.000 13140.032 +INF 1.3810E-5 40 100.000 12657.054 +INF 1.5787E-5 41 100.000 11643.391 +INF 2.3746E-5 42 100.000 11919.012 +INF 1.9964E-5 43 100.000 14004.823 +INF 2.6208E-5 44 100.000 26559.784 +INF 1.4316E-5 45 100.000 56932.946 +INF -2.781E-5 46 100.000 14858.414 +INF 1.0619E-5 47 100.000 8584.359 +INF 1.5638E-5 48 100.000 6816.986 +INF 1.4991E-5 49 100.000 3457.338 +INF 4.4940E-5 50 100.000 8297.015 +INF 1.6010E-5 51 100.000 32938.606 +INF -3.875E-6 52 100.000 39987.439 +INF -4.267E-7 53 100.000 14580.574 +INF 2.3989E-6 54 100.000 6304.757 +INF 6.1679E-6 55 100.000 3526.768 +INF 1.0675E-5 56 100.000 1607.188 +INF . 57 100.000 100.000 +INF 9.6710E-4 58 100.000 3535.586 +INF -2.574E-6 59 100.000 2013.703 +INF . 60 100.000 761.872 +INF . ---- VAR CPC Per capita consumption thousands US dollars LOWER LEVEL UPPER MARGINAL 1 -INF 6.616 +INF . 2 -INF 7.662 +INF . 3 -INF 8.844 +INF . 4 -INF 10.171 +INF . 5 -INF 11.659 +INF . 6 -INF 13.325 +INF . 7 -INF 15.191 +INF . 8 -INF 17.278 +INF . 9 -INF 19.612 +INF . 10 -INF 22.220 +INF . 11 -INF 25.131 +INF . 12 -INF 28.381 +INF . 13 -INF 32.006 +INF . 14 -INF 36.046 +INF . 15 -INF 40.545 +INF . 16 -INF 45.551 +INF . 17 -INF 51.118 +INF . 18 -INF 57.307 +INF . 19 -INF 64.192 +INF . 20 -INF 71.868 +INF . 21 -INF 80.442 +INF . 22 -INF 90.104 +INF . 23 -INF 100.907 +INF . 24 -INF 112.918 +INF . 25 -INF 126.214 +INF . 26 -INF 140.929 +INF . 27 -INF 157.085 +INF . 28 -INF 175.116 +INF . 29 -INF 195.985 +INF . 30 -INF 219.509 +INF . 31 -INF 239.008 +INF . 32 -INF 268.349 +INF . 33 -INF 301.433 +INF . 34 -INF 323.292 +INF . 35 -INF 359.473 +INF . 36 -INF 396.093 +INF . 37 -INF 448.557 +INF . 38 -INF 496.533 +INF . 39 -INF 539.210 +INF . 40 -INF 584.484 +INF . 41 -INF 604.433 +INF . 42 -INF 632.755 +INF . 43 -INF 583.810 +INF . 44 -INF 524.300 +INF . 45 -INF 1501.091 +INF . 46 -INF 985.926 +INF . 47 -INF 877.044 +INF . 48 -INF 899.937 +INF . 49 -INF 705.374 +INF . 50 -INF 732.624 +INF . 51 -INF 1391.054 +INF . 52 -INF 1904.639 +INF . 53 -INF 1455.576 +INF . 54 -INF 1184.779 +INF . 55 -INF 1058.508 +INF . 56 -INF 893.178 +INF . 57 -INF 367.054 +INF . 58 -INF 1232.686 +INF . 59 -INF 1101.233 +INF . 60 -INF 881.248 +INF . ---- VAR PCY Per capita income thousands US dollars LOWER LEVEL UPPER MARGINAL 1 -INF 8.533 +INF . 2 -INF 9.789 +INF . 3 -INF 11.236 +INF . 4 -INF 12.877 +INF . 5 -INF 14.728 +INF . 6 -INF 16.810 +INF . 7 -INF 19.148 +INF . 8 -INF 21.769 +INF . 9 -INF 24.704 +INF . 10 -INF 27.988 +INF . 11 -INF 31.659 +INF . 12 -INF 35.760 +INF . 13 -INF 40.339 +INF . 14 -INF 45.448 +INF . 15 -INF 51.144 +INF . 16 -INF 57.489 +INF . 17 -INF 64.553 +INF . 18 -INF 72.415 +INF . 19 -INF 81.160 +INF . 20 -INF 90.887 +INF . 21 -INF 101.689 +INF . 22 -INF 113.941 +INF . 23 -INF 127.661 +INF . 24 -INF 142.953 +INF . 25 -INF 159.953 +INF . 26 -INF 178.839 +INF . 27 -INF 199.793 +INF . 28 -INF 223.132 +INF . 29 -INF 248.919 +INF . 30 -INF 276.311 +INF . 31 -INF 304.387 +INF . 32 -INF 339.168 +INF . 33 -INF 374.379 +INF . 34 -INF 407.652 +INF . 35 -INF 452.225 +INF . 36 -INF 499.240 +INF . 37 -INF 551.321 +INF . 38 -INF 595.211 +INF . 39 -INF 633.111 +INF . 40 -INF 668.555 +INF . 41 -INF 695.819 +INF . 42 -INF 747.277 +INF . 43 -INF 835.864 +INF . 44 -INF 1078.627 +INF . 45 -INF 1443.034 +INF . 46 -INF 1025.502 +INF . 47 -INF 921.506 +INF . 48 -INF 912.500 +INF . 49 -INF 787.834 +INF . 50 -INF 1081.991 +INF . 51 -INF 1722.478 +INF . 52 -INF 1912.056 +INF . 53 -INF 1469.772 +INF . 54 -INF 1200.226 +INF . 55 -INF 1062.897 +INF . 56 -INF 887.824 +INF . 57 -INF 407.760 +INF . 58 -INF 1241.767 +INF . 59 -INF 1101.927 +INF . 60 -INF 878.159 +INF . ---- VAR I Investment trillions US dollars LOWER LEVEL UPPER MARGINAL 1 -INF 12.484 +INF . 2 -INF 15.166 +INF . 3 -INF 18.093 +INF . 4 -INF 21.296 +INF . 5 -INF 24.817 +INF . 6 -INF 28.707 +INF . 7 -INF 33.018 +INF . 8 -INF 37.811 +INF . 9 -INF 43.148 +INF . 10 -INF 49.095 +INF . 11 -INF 55.725 +INF . 12 -INF 63.130 +INF . 13 -INF 71.405 +INF . 14 -INF 80.654 +INF . 15 -INF 90.990 +INF . 16 -INF 102.540 +INF . 17 -INF 115.443 +INF . 18 -INF 129.843 +INF . 19 -INF 145.859 +INF . 20 -INF 163.515 +INF . 21 -INF 182.684 +INF . 22 -INF 204.968 +INF . 23 -INF 230.059 +INF . 24 -INF 258.283 +INF . 25 -INF 290.140 +INF . 26 -INF 326.012 +INF . 27 -INF 367.279 +INF . 28 -INF 412.925 +INF . 29 -INF 455.230 +INF . 30 -INF 488.496 +INF . 31 -INF 562.249 +INF . 32 -INF 609.040 +INF . 33 -INF 627.341 +INF . 34 -INF 725.497 +INF . 35 -INF 797.671 +INF . 36 -INF 887.063 +INF . 37 -INF 883.771 +INF . 38 -INF 848.630 +INF . 39 -INF 807.541 +INF . 40 -INF 723.015 +INF . 41 -INF 785.921 +INF . 42 -INF 984.892 +INF . 43 -INF 2167.660 +INF . 44 -INF 4767.212 +INF . 45 -INF -499.288 +INF . 46 -INF 340.355 +INF . 47 -INF 382.381 +INF . 48 -INF 108.040 +INF . 49 -INF 709.152 +INF . 50 -INF 3004.562 +INF . 51 -INF 2850.246 +INF . 52 -INF 63.782 +INF . 53 -INF 122.083 +INF . 54 -INF 132.844 +INF . 55 -INF 37.748 +INF . 56 -INF -46.039 +INF . 57 -INF 350.072 +INF . 58 -INF 78.092 +INF . 59 -INF 5.974 +INF . 60 -INF -26.565 +INF . ---- VAR S Gross savings rate as fraction of gross world product LOWER LEVEL UPPER MARGINAL 1 -INF 0.225 +INF . 2 -INF 0.217 +INF . 3 -INF 0.213 +INF . 4 -INF 0.210 +INF . 5 -INF 0.208 +INF . 6 -INF 0.207 +INF . 7 -INF 0.207 +INF . 8 -INF 0.206 +INF . 9 -INF 0.206 +INF . 10 -INF 0.206 +INF . 11 -INF 0.206 +INF . 12 -INF 0.206 +INF . 13 -INF 0.207 +INF . 14 -INF 0.207 +INF . 15 -INF 0.207 +INF . 16 -INF 0.208 +INF . 17 -INF 0.208 +INF . 18 -INF 0.209 +INF . 19 -INF 0.209 +INF . 20 -INF 0.209 +INF . 21 -INF 0.209 +INF . 22 -INF 0.209 +INF . 23 -INF 0.210 +INF . 24 -INF 0.210 +INF . 25 -INF 0.211 +INF . 26 -INF 0.212 +INF . 27 -INF 0.214 +INF . 28 -INF 0.215 +INF . 29 -INF 0.213 +INF . 30 -INF 0.206 +INF . 31 -INF 0.215 +INF . 32 -INF 0.209 +INF . 33 -INF 0.195 +INF . 34 -INF 0.207 +INF . 35 -INF 0.205 +INF . 36 -INF 0.207 +INF . 37 -INF 0.186 +INF . 38 -INF 0.166 +INF . 39 -INF 0.148 +INF . 40 -INF 0.126 +INF . 41 -INF 0.131 +INF . 42 -INF 0.153 +INF . 43 -INF 0.302 +INF . 44 -INF 0.514 +INF . 45 -INF -0.040 +INF . 46 -INF 0.039 +INF . 47 -INF 0.048 +INF . 48 -INF 0.014 +INF . 49 -INF 0.105 +INF . 50 -INF 0.323 +INF . 51 -INF 0.192 +INF . 52 -INF 0.004 +INF . 53 -INF 0.010 +INF . 54 -INF 0.013 +INF . 55 -INF 0.004 +INF . 56 -INF -0.006 +INF . 57 -INF 0.100 +INF . 58 -INF 0.007 +INF . 59 -INF 6.3036E-4 +INF . 60 -INF -0.004 +INF . ---- VAR RI Real interest rate per annum LOWER LEVEL UPPER MARGINAL 1 -INF 0.057 +INF . 2 -INF 0.056 +INF . 3 -INF 0.055 +INF . 4 -INF 0.054 +INF . 5 -INF 0.053 +INF . 6 -INF 0.052 +INF . 7 -INF 0.052 +INF . 8 -INF 0.051 +INF . 9 -INF 0.050 +INF . 10 -INF 0.050 +INF . 11 -INF 0.049 +INF . 12 -INF 0.049 +INF . 13 -INF 0.049 +INF . 14 -INF 0.048 +INF . 15 -INF 0.048 +INF . 16 -INF 0.047 +INF . 17 -INF 0.047 +INF . 18 -INF 0.047 +INF . 19 -INF 0.046 +INF . 20 -INF 0.046 +INF . 21 -INF 0.045 +INF . 22 -INF 0.046 +INF . 23 -INF 0.046 +INF . 24 -INF 0.045 +INF . 25 -INF 0.045 +INF . 26 -INF 0.045 +INF . 27 -INF 0.044 +INF . 28 -INF 0.043 +INF . 29 -INF 0.042 +INF . 30 -INF 0.042 +INF . 31 -INF 0.044 +INF . 32 -INF 0.042 +INF . 33 -INF 0.043 +INF . 34 -INF 0.047 +INF . 35 -INF 0.046 +INF . 36 -INF 0.045 +INF . 37 -INF 0.045 +INF . 38 -INF 0.050 +INF . 39 -INF 0.059 +INF . 40 -INF 0.071 +INF . 41 -INF 0.089 +INF . 42 -INF 0.097 +INF . 43 -INF 0.089 +INF . 44 -INF 0.040 +INF . 45 -INF 2.6106E-4 +INF . 46 -INF 0.113 +INF . 47 -INF 0.212 +INF . 48 -INF 0.280 +INF . 49 -INF 0.523 +INF . 50 -INF 0.271 +INF . 51 -INF 0.070 +INF . 52 -INF 0.058 +INF . 53 -INF 0.195 +INF . 54 -INF 0.426 +INF . 55 -INF 0.712 +INF . 56 -INF 1.360 +INF . 57 -INF 10.455 +INF . 58 -INF 0.841 +INF . 59 -INF 1.347 +INF . 60 -INF 2.909 +INF . ---- VAR Y Gross world product net of abatement and damages LOWER LEVEL UPPER MARGINAL 1 . 55.583 +INF . 2 . 69.798 +INF . 3 . 84.989 +INF . 4 . 101.343 +INF . 5 . 119.087 +INF . 6 . 138.474 +INF . 7 . 159.779 +INF . 8 . 183.292 +INF . 9 . 209.322 +INF . 10 . 238.198 +INF . 11 . 270.269 +INF . 12 . 305.946 +INF . 13 . 345.654 +INF . 14 . 389.853 +INF . 15 . 439.044 +INF . 16 . 493.776 +INF . 17 . 554.660 +INF . 18 . 622.373 +INF . 19 . 697.663 +INF . 20 . 781.382 +INF . 21 . 874.333 +INF . 22 . 979.741 +INF . 23 . 1097.766 +INF . 24 . 1229.299 +INF . 25 . 1375.519 +INF . 26 . 1537.955 +INF . 27 . 1718.176 +INF . 28 . 1918.898 +INF . 29 . 2140.677 +INF . 30 . 2376.252 +INF . 31 . 2617.708 +INF . 32 . 2916.834 +INF . 33 . 3219.652 +INF . 34 . 3505.798 +INF . 35 . 3889.130 +INF . 36 . 4293.460 +INF . 37 . 4741.354 +INF . 38 . 5118.812 +INF . 39 . 5444.749 +INF . 40 . 5749.574 +INF . 41 . 5984.045 +INF . 42 . 6426.584 +INF . 43 . 7188.429 +INF . 44 . 9276.189 +INF . 45 . 12410.095 +INF . 46 . 8819.317 +INF . 47 . 7924.955 +INF . 48 . 7847.496 +INF . 49 . 6775.370 +INF . 50 . 9305.124 +INF . 51 . 14813.307 +INF . 52 . 16443.678 +INF . 53 . 12640.036 +INF . 54 . 10321.939 +INF . 55 . 9140.917 +INF . 56 . 7635.290 +INF . 57 . 3506.740 +INF . 58 . 10679.192 +INF . 59 . 9476.575 +INF 7.2437E-6 60 . 7552.168 +INF 1.0028E-5 ---- VAR YGROSS Gross world product GROSS of abatement and damages LOWER LEVEL UPPER MARGINAL 1 . 55.667 +INF . 2 . 69.998 +INF . 3 . 85.352 +INF . 4 . 101.944 +INF . 5 . 120.019 +INF . 6 . 139.852 +INF . 7 . 161.738 +INF . 8 . 185.997 +INF . 9 . 212.967 +INF . 10 . 243.010 +INF . 11 . 276.515 +INF . 12 . 313.895 +INF . 13 . 355.618 +INF . 14 . 402.187 +INF . 15 . 454.148 +INF . 16 . 512.093 +INF . 17 . 576.670 +INF . 18 . 648.585 +INF . 19 . 728.594 +INF . 20 . 817.473 +INF . 21 . 915.923 +INF . 22 . 1024.477 +INF . 23 . 1145.647 +INF . 24 . 1280.455 +INF . 25 . 1430.171 +INF . 26 . 1596.393 +INF . 27 . 1780.732 +INF . 28 . 1985.969 +INF . 29 . 2212.633 +INF . 30 . 2453.180 +INF . 31 . 2699.430 +INF . 32 . 3004.736 +INF . 33 . 3313.392 +INF . 34 . 3604.478 +INF . 35 . 3995.020 +INF . 36 . 4406.588 +INF . 37 . 4862.297 +INF . 38 . 5245.257 +INF . 39 . 5575.031 +INF . 40 . 5882.871 +INF . 41 . 6118.493 +INF . 42 . 6566.544 +INF . 43 . 7340.207 +INF . 44 . 9466.114 +INF . 45 . 12656.536 +INF . 46 . 8991.329 +INF . 47 . 8102.123 +INF . 48 . 8026.927 +INF . 49 . 6947.249 +INF . 50 . 9579.042 +INF . 51 . 15351.523 +INF . 52 . 17232.702 +INF . 53 . 13476.892 +INF . 54 . 11086.292 +INF . 55 . 9846.398 +INF . 56 . 8218.934 +INF 1.6111E-5 57 . 3772.957 +INF . 58 . 11605.520 +INF . 59 . 10340.212 +INF . 60 . 8144.471 +INF . ---- VAR YNET Output net of damages equation LOWER LEVEL UPPER MARGINAL 1 -INF 55.583 +INF . 2 -INF 69.819 +INF . 3 -INF 85.024 +INF . 4 -INF 101.399 +INF . 5 -INF 119.173 +INF . 6 -INF 138.601 +INF . 7 -INF 159.962 +INF . 8 -INF 183.552 +INF . 9 -INF 209.685 +INF . 10 -INF 238.699 +INF . 11 -INF 270.953 +INF . 12 -INF 306.871 +INF . 13 -INF 346.898 +INF . 14 -INF 391.517 +INF . 15 -INF 441.264 +INF . 16 -INF 496.730 +INF . 17 -INF 558.583 +INF . 18 -INF 627.577 +INF . 19 -INF 704.560 +INF . 20 -INF 790.456 +INF . 21 -INF 886.195 +INF . 22 -INF 992.359 +INF . 23 -INF 1111.210 +INF . 24 -INF 1243.637 +INF . 25 -INF 1390.822 +INF . 26 -INF 1554.300 +INF . 27 -INF 1735.645 +INF . 28 -INF 1937.589 +INF . 29 -INF 2160.681 +INF . 30 -INF 2397.582 +INF . 31 -INF 2640.310 +INF . 32 -INF 2941.087 +INF . 33 -INF 3245.465 +INF . 34 -INF 3532.932 +INF . 35 -INF 3918.220 +INF . 36 -INF 4324.532 +INF . 37 -INF 4774.587 +INF . 38 -INF 5153.598 +INF . 39 -INF 5480.659 +INF . 40 -INF 5786.412 +INF . 41 -INF 6021.327 +INF . 42 -INF 6465.552 +INF . 43 -INF 7230.888 +INF . 44 -INF 9329.606 +INF . 45 -INF 12479.826 +INF . 46 -INF 8856.882 +INF . 47 -INF 7967.452 +INF . 48 -INF 7880.295 +INF . 49 -INF 6801.091 +INF . 50 -INF 9336.639 +INF . 51 -INF 14866.681 +INF . 52 -INF 16470.803 +INF . 53 -INF 12697.213 +INF . 54 -INF 10366.498 +INF . 55 -INF 9182.731 +INF . 56 -INF 7668.299 +INF . 57 -INF 3506.740 +INF . 58 -INF 10724.663 +INF . 59 -INF 9484.430 +INF . 60 -INF 7579.075 +INF . ---- VAR DAMAGES Damages LOWER LEVEL UPPER MARGINAL 1 -INF 0.084 +INF . 2 -INF 0.179 +INF . 3 -INF 0.328 +INF . 4 -INF 0.545 +INF . 5 -INF 0.847 +INF . 6 -INF 1.251 +INF . 7 -INF 1.776 +INF . 8 -INF 2.445 +INF . 9 -INF 3.282 +INF . 10 -INF 4.311 +INF . 11 -INF 5.562 +INF . 12 -INF 7.024 +INF . 13 -INF 8.721 +INF . 14 -INF 10.670 +INF . 15 -INF 12.884 +INF . 16 -INF 15.363 +INF . 17 -INF 18.087 +INF . 18 -INF 21.008 +INF . 19 -INF 24.034 +INF . 20 -INF 27.017 +INF . 21 -INF 29.728 +INF . 22 -INF 32.118 +INF . 23 -INF 34.437 +INF . 24 -INF 36.818 +INF . 25 -INF 39.349 +INF . 26 -INF 42.093 +INF . 27 -INF 45.087 +INF . 28 -INF 48.380 +INF . 29 -INF 51.952 +INF . 30 -INF 55.598 +INF . 31 -INF 59.121 +INF . 32 -INF 63.649 +INF . 33 -INF 67.927 +INF . 34 -INF 71.547 +INF . 35 -INF 76.800 +INF . 36 -INF 82.056 +INF . 37 -INF 87.710 +INF . 38 -INF 91.659 +INF . 39 -INF 94.371 +INF . 40 -INF 96.458 +INF . 41 -INF 97.166 +INF . 42 -INF 100.992 +INF . 43 -INF 109.319 +INF . 44 -INF 136.508 +INF . 45 -INF 176.709 +INF . 46 -INF 134.447 +INF . 47 -INF 134.671 +INF . 48 -INF 146.631 +INF . 49 -INF 146.159 +INF . 50 -INF 242.403 +INF . 51 -INF 484.842 +INF . 52 -INF 761.899 +INF . 53 -INF 779.679 +INF . 54 -INF 719.794 +INF . 55 -INF 663.667 +INF . 56 -INF 550.636 +INF . 57 -INF 266.217 +INF . 58 -INF 880.857 +INF . 59 -INF 855.782 +INF . 60 -INF 565.396 +INF . ---- VAR ABATECOST Cost of emissions reductions LOWER LEVEL UPPER MARGINAL 1 -INF 1.3292E-5 +INF . 2 -INF 0.021 +INF . 3 -INF 0.035 +INF . 4 -INF 0.056 +INF . 5 -INF 0.086 +INF . 6 -INF 0.128 +INF . 7 -INF 0.185 +INF . 8 -INF 0.264 +INF . 9 -INF 0.369 +INF . 10 -INF 0.510 +INF . 11 -INF 0.697 +INF . 12 -INF 0.946 +INF . 13 -INF 1.275 +INF . 14 -INF 1.710 +INF . 15 -INF 2.285 +INF . 16 -INF 3.045 +INF . 17 -INF 4.050 +INF . 18 -INF 5.378 +INF . 19 -INF 7.132 +INF . 20 -INF 9.384 +INF . 21 -INF 12.260 +INF . 22 -INF 13.027 +INF . 23 -INF 13.861 +INF . 24 -INF 14.762 +INF . 25 -INF 15.736 +INF . 26 -INF 16.788 +INF . 27 -INF 17.923 +INF . 28 -INF 19.158 +INF . 29 -INF 20.484 +INF . 30 -INF 21.825 +INF . 31 -INF 23.107 +INF . 32 -INF 24.778 +INF . 33 -INF 26.354 +INF . 34 -INF 27.683 +INF . 35 -INF 29.661 +INF . 36 -INF 31.661 +INF . 37 -INF 33.844 +INF . 38 -INF 35.405 +INF . 39 -INF 36.529 +INF . 40 -INF 37.453 +INF . 41 -INF 37.883 +INF . 42 -INF 39.577 +INF . 43 -INF 43.101 +INF . 44 -INF 54.199 +INF . 45 -INF 70.718 +INF . 46 -INF 38.135 +INF . 47 -INF 43.214 +INF . 48 -INF 33.410 +INF . 49 -INF 26.274 +INF . 50 -INF 32.332 +INF . 51 -INF 55.115 +INF . 52 -INF 28.379 +INF . 53 -INF 60.687 +INF . 54 -INF 47.652 +INF . 55 -INF 44.836 +INF . 56 -INF 35.379 +INF . 57 -INF . +INF . 58 -INF 49.205 +INF . 59 -INF 8.564 +INF . 60 -INF 28.914 +INF . ---- VAR CCA Cumulative industrial carbon emissions GTC LOWER LEVEL UPPER MARGINAL 1 . . 6000.000 . 2 . 85.320 6000.000 . 3 . 168.945 6000.000 . 4 . 259.423 6000.000 . 5 . 355.781 6000.000 . 6 . 457.200 6000.000 . 7 . 562.967 6000.000 . 8 . 672.418 6000.000 . 9 . 784.893 6000.000 . 10 . 899.692 6000.000 . 11 . 1016.030 6000.000 . 12 . 1132.995 6000.000 . 13 . 1249.491 6000.000 . 14 . 1364.176 6000.000 . 15 . 1475.400 6000.000 . 16 . 1581.142 6000.000 . 17 . 1678.929 6000.000 . 18 . 1765.753 6000.000 . 19 . 1837.960 6000.000 . 20 . 1891.155 6000.000 . 21 . 1920.965 6000.000 . 22 . 1922.303 6000.000 . 23 . 1923.506 6000.000 . 24 . 1924.589 6000.000 . 25 . 1925.564 6000.000 . 26 . 1926.442 6000.000 . 27 . 1927.231 6000.000 . 28 . 1927.942 6000.000 . 29 . 1928.582 6000.000 . 30 . 1929.158 6000.000 . 31 . 1929.676 6000.000 . 32 . 1930.142 6000.000 . 33 . 1930.562 6000.000 . 34 . 1930.939 6000.000 . 35 . 1931.279 6000.000 . 36 . 1931.585 6000.000 . 37 . 1931.861 6000.000 . 38 . 1932.108 6000.000 . 39 . 1932.331 6000.000 . 40 . 1932.532 6000.000 . 41 . 1932.713 6000.000 . 42 . 1932.875 6000.000 . 43 . 1933.022 6000.000 . 44 . 1933.153 6000.000 . 45 . 1933.272 6000.000 . 46 . 1933.379 6000.000 . 47 . 2116.349 6000.000 . 48 . 2116.436 6000.000 . 49 . 2258.333 6000.000 . 50 . 2416.724 6000.000 . 51 . 2693.455 6000.000 . 52 . 3044.089 6000.000 . 53 . 4213.929 6000.000 . 54 . 4261.006 6000.000 . 55 . 4321.949 6000.000 . 56 . 4321.986 6000.000 . 57 . 4345.047 6000.000 . 58 . 5094.745 6000.000 . 59 . 5112.598 6000.000 . 60 . 6000.000 6000.000 -2.751E-8 ---- VAR PERIODU One period utility function LOWER LEVEL UPPER MARGINAL 1 -INF -150.141 +INF . 2 -INF -129.511 +INF . 3 -INF -112.073 +INF . 4 -INF -97.317 +INF . 5 -INF -84.771 +INF . 6 -INF -74.045 +INF . 7 -INF -64.829 +INF . 8 -INF -56.877 +INF . 9 -INF -49.989 +INF . 10 -INF -44.005 +INF . 11 -INF -38.791 +INF . 12 -INF -34.235 +INF . 13 -INF -30.244 +INF . 14 -INF -26.742 +INF . 15 -INF -23.664 +INF . 16 -INF -20.954 +INF . 17 -INF -18.563 +INF . 18 -INF -16.450 +INF . 19 -INF -14.578 +INF . 20 -INF -12.914 +INF . 21 -INF -11.431 +INF . 22 -INF -10.098 +INF . 23 -INF -8.910 +INF . 24 -INF -7.856 +INF . 25 -INF -6.923 +INF . 26 -INF -6.096 +INF . 27 -INF -5.366 +INF . 28 -INF -4.710 +INF . 29 -INF -4.102 +INF . 30 -INF -3.556 +INF . 31 -INF -3.184 +INF . 32 -INF -2.726 +INF . 33 -INF -2.317 +INF . 34 -INF -2.093 +INF . 35 -INF -1.782 +INF . 36 -INF -1.525 +INF . 37 -INF -1.229 +INF . 38 -INF -1.014 +INF . 39 -INF -0.855 +INF . 40 -INF -0.711 +INF . 41 -INF -0.654 +INF . 42 -INF -0.580 +INF . 43 -INF -0.713 +INF . 44 -INF -0.907 +INF . 45 -INF 0.334 +INF . 46 -INF -0.014 +INF . 47 -INF -0.140 +INF . 48 -INF -0.111 +INF . 49 -INF -0.418 +INF . 50 -INF -0.365 +INF . 51 -INF 0.281 +INF . 52 -INF 0.475 +INF . 53 -INF 0.313 +INF . 54 -INF 0.156 +INF . 55 -INF 0.055 +INF . 56 -INF -0.120 +INF . 57 -INF -1.724 +INF . 58 -INF 0.189 +INF . 59 -INF 0.092 +INF . 60 -INF -0.135 +INF . LOWER LEVEL UPPER MARGINAL ---- VAR UTILITY -INF 1.5024E+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 00:05:43 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/2429419/dice_orig_decade_sol.put EXECUTION TIME = 0.013 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/2429419/MODEL.gms Output /scratch/neos/solver/jobs/2429419/solve.out NEOS Server