NEOS Server Home ************************************************************* NEOS Server Version 5.0 Job# : 2429418 Password : qxhXdUmt Solver : nco:MINOS:GAMS Start : 2011-09-14 00:04:35 End : 2011-09-14 00:04:38 Host : e031.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 00:04:35 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 00:04:35 Page 2 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Model Statistics SOLVE CO2 Using NLP From line 306 MODEL STATISTICS BLOCKS OF EQUATIONS 30 SINGLE EQUATIONS 1,263 BLOCKS OF VARIABLES 24 SINGLE VARIABLES 1,381 300 projected NON ZERO ELEMENTS 3,767 NON LINEAR N-Z 1,080 DERIVATIVE POOL 6 CONSTANT POOL 327 CODE LENGTH 5,643 GENERATION TIME = 0.006 SECONDS 4 Mb LEX237-237 Jul 7, 2011 EXECUTION TIME = 0.008 SECONDS 4 Mb LEX237-237 Jul 7, 2011 GAMS Rev 237 LEX-LEG 23.7.1 x86_64/Linux 09/14/11 00:04:35 Page 3 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Solution Report SOLVE CO2 Using NLP From line 306 S O L V E S U M M A R Y MODEL CO2 OBJECTIVE UTILITY TYPE NLP DIRECTION MAXIMIZE SOLVER MINOS FROM LINE 306 **** SOLVER STATUS 5 Evaluation Interrupt **** MODEL STATUS 7 Intermediate Nonoptimal **** OBJECTIVE VALUE -68675.9889 RESOURCE USAGE, LIMIT 0.207 99999.000 ITERATION COUNT, LIMIT 689 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(16) 2 error(s): vcPower: FUNC DOMAIN: x**c, x < 0 (RETURNED 0) **** ERRORS/WARNINGS IN EQUATION ABATEEQ(16) 1 error(s): vcPower: FUNC DOMAIN: x**c, x < 0 (RETURNED 0) ---- EQU CCTFIRST First period cumulative carbon LOWER LEVEL UPPER MARGINAL 1 . . . 549.898 ---- EQU CCACCA Cumulative carbon emissions LOWER LEVEL UPPER MARGINAL 2 . . . 549.898 3 . . . 549.898 4 . . . 549.898 5 . . . 549.898 6 . . . 549.898 7 . . . 549.898 8 . . . 549.898 9 . . . 549.898 10 . . . 549.898 11 . . . 549.898 12 . . . 549.898 13 . . . 549.898 14 . . . 549.898 15 . . . 549.898 16 . . . 549.898 17 . . . 549.898 18 . . . 549.898 19 . . . 549.898 20 . . . 549.898 21 . . . 549.898 22 . . . 549.898 23 . . . 549.898 24 . . . 549.898 25 . . . 549.898 26 . . . 549.898 27 . . . 549.898 28 . . . 549.898 29 . . . 549.898 30 . . . 549.898 31 . . . 549.898 32 . . . 549.898 33 . . . 549.898 34 . . . 549.898 35 . . . 549.898 36 . . . 549.898 37 . . . 549.898 38 . . . 549.898 39 . . . 549.898 40 . . . 549.898 41 . . . 549.898 42 . . . 549.898 43 . . . 549.898 44 . . . 549.898 45 . . . 549.898 46 . . . 549.898 47 . . . 549.898 48 . . . 549.898 49 . . . 549.898 50 . . . 549.898 51 . . . 549.898 52 . . . 549.898 53 . . . 549.898 54 . . . 549.898 55 . . . 549.898 56 . . . 549.898 57 . . . 549.898 58 . . . 549.898 59 . . . 549.898 60 . . . 549.898 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 . . . 2543.360 2 . . . -42.086 3 . . . -650.369 4 . . . 925.389 5 . . . 715.887 6 . . . 382.641 7 . . . 74.060 8 . . . 53.390 9 . . . 39.861 10 . . . 44.553 11 . . . 15.625 12 . . . 31.099 13 . . . -27.230 14 . . . -35.461 15 . . . -23.002 16 . . . -16.195 17 . . . 1.396 18 . . . 0.852 19 . . . 0.376 20 . . . 0.131 21 . . . 2.795 22 . . . 1188.567 23 . . . 0.068 24 . . . 0.195 25 . . . 0.070 26 . . . 0.022 27 . . . 0.250 28 . . . -313.390 29 . . . -888.558 30 . . . -391.792 31 . . . 0.004 32 . . . 0.002 33 . . . -33.156 34 . . . -0.004 35 . . . 2.2406E-4 36 . . . 115.842 37 . . . -384.268 38 . . . -0.002 39 . . . -0.003 40 . . . -31.912 41 . . . -5.841E-4 42 . . . 0.006 43 . . . -546.922 44 . . . -423.220 45 . . . -0.004 46 . . . -0.005 47 . . . -0.008 48 . . . 2.6654E-4 49 . . . 4.6887E-4 50 . . . -47.059 51 . . . -800.582 52 . . . -0.014 53 . . . -0.016 54 . . . -0.002 55 . . . 1.1972E-4 56 . . . 7.2533E-5 57 . . . 1.5844E-5 58 . . . 2.4594E-5 59 . . . 3.7612E-5 60 . . . 4.3608E-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 . . . 2539.511 2 . . . -42.036 3 . . . -636.415 4 . . . 907.476 5 . . . 699.798 6 . . . 372.767 7 . . . 70.536 8 . . . 51.429 9 . . . 39.226 10 . . . 43.890 11 . . . 15.332 12 . . . 30.604 13 . . . -27.088 14 . . . -35.026 15 . . . -21.331 16 . . . -16.067 17 . . . 1.354 18 . . . 0.772 19 . . . 0.285 20 . . . -0.035 21 . . . 2.666 22 . . . 1166.040 23 . . . 0.020 24 . . . -0.011 25 . . . -0.320 26 . . . -0.710 27 . . . 0.077 28 . . . -311.439 29 . . . -886.784 30 . . . -391.088 31 . . . -0.934 32 . . . -1.151 33 . . . -34.401 34 . . . -2.108 35 . . . -3.134 36 . . . 106.221 37 . . . -383.014 38 . . . -0.616 39 . . . -0.975 40 . . . -33.293 41 . . . -2.549 42 . . . -0.165 43 . . . -550.393 44 . . . -422.080 45 . . . -0.759 46 . . . -1.320 47 . . . -2.252 48 . . . -0.349 49 . . . -0.225 50 . . . -49.161 51 . . . -797.981 52 . . . -0.989 53 . . . -1.851 54 . . . -3.326 55 . . . -0.195 56 . . . -1.234 57 . . . -4.941 58 . . . -40.537 59 . . . -100.641 60 . . . -149.551 ---- 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 . . . 2668.241 2 . . . -43.210 3 . . . -669.155 4 . . . 957.873 5 . . . 746.562 6 . . . 399.564 7 . . . 77.586 8 . . . 49.404 9 . . . 25.228 10 . . . 44.553 11 . . . 15.625 12 . . . 31.099 13 . . . 2.575 14 . . . 1.438 15 . . . 6.673 16 . . . 0.784 17 . . . 1.396 18 . . . 0.853 19 . . . 0.376 20 . . . 0.131 21 . . . 2.843 22 . . . 1.282 23 . . . 0.267 24 . . . 0.195 25 . . . 0.071 26 . . . 0.022 27 . . . 0.250 28 . . . 0.347 29 . . . 0.143 30 . . . 0.005 31 . . . 0.005 32 . . . 0.003 33 . . . 0.002 34 . . . 6.8334E-4 35 . . . 2.2423E-4 36 . . . 0.026 37 . . . 0.002 38 . . . 0.001 39 . . . 4.7769E-4 40 . . . 1.5100E-4 41 . . . 4.7849E-5 42 . . . 0.006 43 . . . 0.004 44 . . . 3.0397E-4 45 . . . 1.2049E-4 46 . . . 3.5110E-5 47 . . . 1.0231E-5 48 . . . 2.6676E-4 49 . . . 4.6954E-4 50 . . . 4.9625E-4 51 . . . 3.8643E-5 52 . . . 1.0621E-5 53 . . . 2.6788E-6 54 . . . 7.4080E-7 55 . . . 1.1792E-4 56 . . . 7.2533E-5 57 . . . 1.0600E-4 58 . . . 2.4542E-5 59 . . . 3.7485E-5 60 . . . 4.9398E-5 ---- EQU KK Capital balance equation LOWER LEVEL UPPER MARGINAL 1 -INF -62.828 . . 2 -INF -555.258 . . 3 -INF -399.173 . . 4 -INF -321.025 . . 5 -INF -251.999 . . 6 -INF . . 5.476 7 -INF . . 1.432 8 -INF . . 5.654 9 -INF . . 7.040 10 -INF . . 2.882 11 -INF -1017.873 . . 12 -INF . . -89.229 13 -INF . . -115.952 14 -INF . . -124.715 15 -INF . . -2.510 16 -INF . . -3.237 17 -INF . . -11.564 18 -INF . . -32.802 19 -INF . . -73.297 20 -INF -1817.514 . . 21 -INF -787.480 . . 22 -INF . . 124.156 23 -INF . . -0.050 24 -INF . . -24.135 25 -INF . . -61.061 26 -INF -3675.309 . . 27 -INF -1865.370 . . 28 -INF . . -3204.634 NOPT 29 -INF . . -91.348 30 -INF . . -84.937 31 -INF . . -243.144 32 -INF . . -675.948 33 -INF . . -1646.339 NOPT 34 -INF . . -3080.821 NOPT 35 -INF -5294.748 . . 36 -INF . . 11.791 37 -INF . . -152.683 38 -INF . . -467.581 39 -INF . . -1291.556 NOPT 40 -INF . . -2534.260 NOPT 41 -INF -1.053E+4 . . 42 -INF -4655.993 . . 43 -INF . . -55.357 44 -INF . . -295.717 45 -INF . . -847.898 46 -INF . . -1941.273 NOPT 47 -INF -1.962E+4 . -2.864 48 -INF -9440.668 . . 49 -INF -7232.619 . . 50 -INF . . -4.739 51 -INF . . -1368.869 NOPT 52 -INF . . -3893.647 NOPT 53 -INF . . -8199.902 NOPT 54 -INF -3.128E+4 . . 55 -INF -1.374E+4 . . 56 -INF -1.078E+4 . . 57 -INF -7219.176 . . 58 -INF -1.644E+4 . . 59 -INF -1.264E+4 . . 60 -INF -9761.455 . . ---- EQU KK0 Initial condition for capital LOWER LEVEL UPPER MARGINAL 1 137.000 137.000 137.000 336.435 ---- EQU KC Terminal condition for capital LOWER LEVEL UPPER MARGINAL 60 -INF -970.659 . . ---- 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 11.000 165.120 2 9.900 9.900 9.900 153.994 3 8.910 8.910 8.910 144.244 4 8.019 8.019 8.019 135.529 5 7.217 7.217 7.217 127.437 6 6.495 6.495 6.495 118.443 7 5.846 5.846 5.846 108.790 8 5.261 5.261 5.261 98.748 9 4.735 4.735 4.735 -7.594 10 4.262 4.262 4.262 -10.788 11 3.835 3.835 3.835 66.695 12 3.452 3.452 3.452 55.273 13 3.107 3.107 3.107 43.539 14 2.796 2.796 2.796 31.572 15 2.516 2.516 2.516 19.534 16 2.265 2.265 2.265 6.753 17 2.038 2.038 2.038 -3.441 18 1.834 1.834 1.834 -20.856 19 1.651 1.651 1.651 -35.016 20 1.486 1.486 1.486 -49.142 21 1.337 1.337 1.337 -62.989 22 1.204 1.204 1.204 -75.681 23 1.083 1.083 1.083 -21.277 24 0.975 0.975 0.975 -6.572 25 0.877 0.877 0.877 -125.638 26 0.790 0.790 0.790 -143.015 27 0.711 0.711 0.711 -159.823 28 0.640 0.640 0.640 -174.045 29 0.576 0.576 0.576 -179.497 30 0.518 0.518 0.518 -190.766 31 0.466 0.466 0.466 -209.515 32 0.420 0.420 0.420 -220.962 33 0.378 0.378 0.378 -225.677 34 0.340 0.340 0.340 -220.639 35 0.306 0.306 0.306 -207.638 36 0.275 0.275 0.275 -209.627 37 0.248 0.248 0.248 -5.536 38 0.223 0.223 0.223 -0.271 39 0.201 0.201 0.201 -263.730 40 0.181 0.181 0.181 -256.526 41 0.163 0.163 0.163 -238.686 42 0.146 0.146 0.146 -242.262 43 0.132 0.132 0.132 -270.709 44 0.119 0.119 0.119 -3.699 45 0.107 0.107 0.107 0.060 46 0.096 0.096 0.096 -320.261 47 0.086 0.086 0.086 -299.795 48 0.078 0.078 0.078 -310.717 49 0.070 0.070 0.070 -360.294 50 0.063 0.063 0.063 -414.314 51 0.057 0.057 0.057 16.501 52 0.051 0.051 0.051 -470.315 53 0.046 0.046 0.046 -356.505 54 0.041 0.041 0.041 -165.853 55 0.037 0.037 0.037 -0.113 56 0.033 0.033 0.033 -37.194 57 0.030 0.030 0.030 26.680 58 0.027 0.027 0.027 156.894 59 0.024 0.024 0.024 328.765 60 0.022 0.022 0.022 EPS ---- EQU SEQ Savings rate equation LOWER LEVEL UPPER MARGINAL 1 . . . 3.7514E+5 2 . . . -1.193E+4 3 . . . -1.554E+5 4 . . . 1.8397E+5 5 . . . 1.1834E+5 6 . . . 45758.161 7 . . . 7394.533 8 . . . -1439.394 9 . . . -2.724E+4 10 . . . 7905.708 11 . . . 6264.592 12 . . . 2.9484E+5 13 . . . 2.9511E+5 14 . . . 2.7518E+5 15 . . . 9607.714 16 . . . 37344.986 17 . . . 1.1742E+5 18 . . . 2.6103E+5 19 . . . 4.6010E+5 20 . . . 64.967 21 . . . 1111.498 22 . . . -5.806E+5 23 . . . 1529.467 24 . . . 4.2195E+5 25 . . . 8.3903E+5 26 . . . 23.957 27 . . . 211.597 28 . . . 2.1321E+7 29 . . . 6.7000E+5 30 . . . 2.9125E+6 31 . . . 8.6885E+6 32 . . . 1.8896E+7 33 . . . 3.5979E+7 34 . . . 5.3455E+7 35 . . . 0.360 36 . . . -1.347E+5 37 . . . 8.7495E+6 38 . . . 2.6992E+7 39 . . . 5.8040E+7 40 . . . 8.8597E+7 41 . . . 190.408 42 . . . 12.144 43 . . . 9.2257E+5 44 . . . 2.7572E+7 45 . . . 7.7331E+7 46 . . . 1.3720E+8 47 . . . 1.5706E+5 48 . . . 1.136 49 . . . 1.546 50 . . . 1.3885E+5 51 . . . 2.1082E+8 52 . . . 5.3820E+8 53 . . . 8.7459E+8 54 . . . 1957.912 55 . . . 0.760 56 . . . 0.355 57 . . . 0.400 58 . . . 0.183 59 . . . 0.216 60 . . . 0.219 ---- 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 -542.123 3 0.012 0.012 0.012 -593.057 4 0.048 0.048 0.048 -916.857 5 0.084 0.084 0.084 -802.252 6 0.120 0.120 0.120 -731.283 7 0.156 0.156 0.156 -720.755 8 0.192 0.192 0.192 -741.422 9 0.228 0.228 0.228 -766.472 10 0.264 0.264 0.264 -788.054 11 0.300 0.300 0.300 -808.584 12 0.300 0.300 0.300 -851.765 13 0.300 0.300 0.300 -897.395 14 0.300 0.300 0.300 -967.933 15 0.300 0.300 0.300 -1054.085 16 0.300 0.300 0.300 -988.956 17 0.300 0.300 0.300 -1083.420 18 0.300 0.300 0.300 -1181.400 19 0.300 0.300 0.300 -1309.080 20 0.300 0.300 0.300 -1475.704 21 0.300 0.300 0.300 -1657.275 22 0.300 0.300 0.300 -1984.554 23 0.300 0.300 0.300 -1512.998 24 0.300 0.300 0.300 -1727.041 25 0.300 0.300 0.300 -2008.095 26 0.300 0.300 0.300 -2363.184 27 0.300 0.300 0.300 -2708.424 28 0.300 0.300 0.300 -3465.713 29 0.300 0.300 0.300 -4893.114 30 0.300 0.300 0.300 -2438.537 31 0.300 0.300 0.300 -3871.373 32 0.300 0.300 0.300 -4654.514 33 0.300 0.300 0.300 -5643.380 34 0.300 0.300 0.300 -6675.407 35 0.300 0.300 0.300 -6804.114 36 0.300 0.300 0.300 -3075.185 37 0.300 0.300 0.300 -2273.831 38 0.300 0.300 0.300 -5041.905 39 0.300 0.300 0.300 -6434.385 40 0.300 0.300 0.300 -7860.171 41 0.300 0.300 0.300 -8123.102 42 0.300 0.300 0.300 -3050.521 43 0.300 0.300 0.300 -3770.673 44 0.300 0.300 0.300 -3577.531 45 0.300 0.300 0.300 -8244.406 46 0.300 0.300 0.300 -1.042E+4 47 0.300 0.300 0.300 -1.110E+4 48 0.300 0.300 0.300 -4399.203 49 0.300 0.300 0.300 -5499.677 50 0.300 0.300 0.300 -7356.821 51 0.300 0.300 0.300 -9170.964 52 0.300 0.300 0.300 -2.385E+4 53 0.300 0.300 0.300 -3.192E+4 54 0.300 0.300 0.300 -3.488E+4 55 0.300 0.300 0.300 -1.029E+4 56 0.300 0.300 0.300 -1.508E+4 57 0.300 0.300 0.300 -2.145E+4 58 0.300 0.300 0.300 -3.045E+4 59 0.300 0.300 0.300 -2.564E+4 60 0.300 0.300 0.300 -1.544E+4 ---- EQU MMAT0 Starting atmospheric concentration LOWER LEVEL UPPER MARGINAL 1 808.900 808.900 808.900 -372.788 ---- EQU MMAT Atmospheric concentration equation LOWER LEVEL UPPER MARGINAL 2 . . . -384.778 3 . . . -395.904 4 . . . -405.654 5 . . . -414.369 6 . . . -422.461 7 . . . -431.455 8 . . . -441.108 9 . . . -451.150 10 . . . -461.484 11 . . . -472.145 12 . . . -483.203 13 . . . -494.626 14 . . . -506.359 15 . . . -518.326 16 . . . -530.364 17 . . . -543.145 18 . . . -556.806 19 . . . -570.754 20 . . . -584.914 21 . . . -599.040 22 . . . -612.887 23 . . . -625.579 24 . . . -640.167 25 . . . -657.791 26 . . . -675.536 27 . . . -692.913 28 . . . -709.721 29 . . . -723.943 30 . . . -729.395 31 . . . -740.664 32 . . . -759.413 33 . . . -770.860 34 . . . -775.575 35 . . . -770.537 36 . . . -757.536 37 . . . -759.525 38 . . . -785.524 39 . . . -807.681 40 . . . -813.628 41 . . . -806.424 42 . . . -788.584 43 . . . -792.160 44 . . . -820.607 45 . . . -855.087 46 . . . -876.791 47 . . . -870.159 48 . . . -849.693 49 . . . -860.615 50 . . . -910.192 51 . . . -964.212 52 . . . -1023.008 53 . . . -1020.213 54 . . . -906.403 55 . . . -715.751 56 . . . -605.879 57 . . . -587.092 58 . . . -523.219 59 . . . -393.004 60 . . . -221.133 ---- EQU MMATAVEQ Average concentrations equation LOWER LEVEL UPPER MARGINAL 1 . . . EPS 2 . . . -3.522 3 . . . -4.011 4 . . . -6.394 5 . . . -5.726 6 . . . -5.317 7 . . . -5.318 8 . . . -5.536 9 . . . -5.781 10 . . . -5.996 11 . . . -6.200 12 . . . -6.575 13 . . . -6.966 14 . . . -7.547 15 . . . -8.250 16 . . . -7.753 17 . . . -8.537 18 . . . -9.368 19 . . . -10.431 20 . . . -11.798 21 . . . -13.295 22 . . . -15.991 23 . . . -12.196 24 . . . -14.004 25 . . . -16.369 26 . . . -19.340 27 . . . -22.240 28 . . . -28.566 29 . . . -40.486 30 . . . -20.058 31 . . . -32.063 32 . . . -38.799 33 . . . -47.249 34 . . . -56.072 35 . . . -57.274 36 . . . -25.751 37 . . . -18.899 38 . . . -42.513 39 . . . -54.602 40 . . . -66.949 41 . . . -69.326 42 . . . -25.834 43 . . . -31.968 44 . . . -30.171 45 . . . -70.566 46 . . . -89.679 47 . . . -95.839 48 . . . -37.754 49 . . . -47.285 50 . . . -63.338 51 . . . -78.941 52 . . . -207.546 53 . . . -278.852 54 . . . -305.400 55 . . . -90.117 56 . . . -132.206 57 . . . -172.215 58 . . . -228.857 59 . . . -198.600 60 . . . -243.666 ---- EQU MMU0 Initial shallow ocean concentration LOWER LEVEL UPPER MARGINAL 1 1255.000 1255.000 1255.000 -314.948 ---- EQU MMU Shallow ocean concentration LOWER LEVEL UPPER MARGINAL 2 . . . -321.435 3 . . . -327.822 4 . . . -334.248 5 . . . -340.841 6 . . . -347.701 7 . . . -354.773 8 . . . -362.020 9 . . . -369.430 10 . . . -376.998 11 . . . -384.717 12 . . . -392.569 13 . . . -400.536 14 . . . -408.606 15 . . . -416.771 16 . . . -425.040 17 . . . -433.349 18 . . . -441.607 19 . . . -449.773 20 . . . -457.809 21 . . . -465.699 22 . . . -473.449 23 . . . -481.171 24 . . . -488.643 25 . . . -495.479 26 . . . -501.557 27 . . . -506.788 28 . . . -511.092 29 . . . -514.606 30 . . . -518.192 31 . . . -521.203 32 . . . -522.685 33 . . . -523.208 34 . . . -523.374 35 . . . -524.234 36 . . . -526.816 37 . . . -529.709 38 . . . -530.230 39 . . . -528.409 40 . . . -525.687 41 . . . -523.409 42 . . . -522.864 43 . . . -521.909 44 . . . -517.640 45 . . . -508.793 46 . . . -496.034 47 . . . -481.914 48 . . . -467.774 49 . . . -450.030 50 . . . -423.646 51 . . . -386.621 52 . . . -336.563 53 . . . -278.232 54 . . . -222.846 55 . . . -179.665 56 . . . -141.581 57 . . . -99.082 58 . . . -56.538 59 . . . -21.497 60 . . . EPS ---- EQU MML0 Initial lower ocean concentration LOWER LEVEL UPPER MARGINAL 1 18365.000 18365.000 18365.000 -69.319 ---- EQU MML Lower ocean concentration LOWER LEVEL UPPER MARGINAL 2 . . . -68.530 3 . . . -67.719 4 . . . -66.885 5 . . . -66.028 6 . . . -65.147 7 . . . -64.241 8 . . . -63.310 9 . . . -62.352 10 . . . -61.368 11 . . . -60.356 12 . . . -59.317 13 . . . -58.249 14 . . . -57.153 15 . . . -56.028 16 . . . -54.874 17 . . . -53.690 18 . . . -52.476 19 . . . -51.233 20 . . . -49.962 21 . . . -48.661 22 . . . -47.332 23 . . . -45.975 24 . . . -44.590 25 . . . -43.180 26 . . . -41.746 27 . . . -40.291 28 . . . -38.818 29 . . . -37.330 30 . . . -35.825 31 . . . -34.307 32 . . . -32.779 33 . . . -31.245 34 . . . -29.705 35 . . . -28.158 36 . . . -26.598 37 . . . -25.024 38 . . . -23.444 39 . . . -21.864 40 . . . -20.288 41 . . . -18.714 42 . . . -17.137 43 . . . -15.558 44 . . . -13.987 45 . . . -12.439 46 . . . -10.926 47 . . . -9.453 48 . . . -8.019 49 . . . -6.637 50 . . . -5.332 51 . . . -4.139 52 . . . -3.099 53 . . . -2.239 54 . . . -1.548 55 . . . -0.991 56 . . . -0.551 57 . . . -0.243 58 . . . -0.067 59 . . . EPS 60 . . . EPS ---- EQU TATMEQ Temperature-climate equation for atmosphere LOWER LEVEL UPPER MARGINAL 2 . . . -2464.198 3 . . . -2695.712 4 . . . -4167.534 5 . . . -3646.601 6 . . . -3324.014 7 . . . -3276.157 8 . . . -3370.102 9 . . . -3483.964 10 . . . -3582.064 11 . . . -3675.384 12 . . . -3871.661 13 . . . -4079.070 14 . . . -4399.696 15 . . . -4791.297 16 . . . -4495.255 17 . . . -4924.637 18 . . . -5369.999 19 . . . -5950.363 20 . . . -6707.745 21 . . . -7533.070 22 . . . -9020.702 23 . . . -6877.264 24 . . . -7850.188 25 . . . -9127.705 26 . . . -1.074E+4 27 . . . -1.231E+4 28 . . . -1.575E+4 29 . . . -2.224E+4 30 . . . -1.108E+4 31 . . . -1.760E+4 32 . . . -2.116E+4 33 . . . -2.565E+4 34 . . . -3.034E+4 35 . . . -3.093E+4 36 . . . -1.398E+4 37 . . . -1.034E+4 38 . . . -2.292E+4 39 . . . -2.925E+4 40 . . . -3.573E+4 41 . . . -3.692E+4 42 . . . -1.387E+4 43 . . . -1.714E+4 44 . . . -1.626E+4 45 . . . -3.747E+4 46 . . . -4.734E+4 47 . . . -5.046E+4 48 . . . -2.000E+4 49 . . . -2.500E+4 50 . . . -3.344E+4 51 . . . -4.169E+4 52 . . . -1.084E+5 53 . . . -1.451E+5 54 . . . -1.585E+5 55 . . . -4.679E+4 56 . . . -6.854E+4 57 . . . -9.749E+4 58 . . . -1.384E+5 59 . . . -1.165E+5 60 . . . -7.020E+4 ---- EQU TATM0EQ Initial condition for atmospheric temperature LOWER LEVEL UPPER MARGINAL 1 0.731 0.731 0.731 -2954.337 ---- EQU TOCEANEQ Temperature-climate equation for lower oceans LOWER LEVEL UPPER MARGINAL 2 . . . -1.508E+4 3 . . . -1.568E+4 4 . . . -1.622E+4 5 . . . -1.682E+4 6 . . . -1.747E+4 7 . . . -1.817E+4 8 . . . -1.889E+4 9 . . . -1.964E+4 10 . . . -2.043E+4 11 . . . -2.125E+4 12 . . . -2.209E+4 13 . . . -2.297E+4 14 . . . -2.388E+4 15 . . . -2.480E+4 16 . . . -2.579E+4 17 . . . -2.681E+4 18 . . . -2.785E+4 19 . . . -2.890E+4 20 . . . -2.995E+4 21 . . . -3.101E+4 22 . . . -3.201E+4 23 . . . -3.322E+4 24 . . . -3.442E+4 25 . . . -3.560E+4 26 . . . -3.673E+4 27 . . . -3.781E+4 28 . . . -3.870E+4 29 . . . -3.919E+4 30 . . . -4.049E+4 31 . . . -4.139E+4 32 . . . -4.210E+4 33 . . . -4.254E+4 34 . . . -4.267E+4 35 . . . -4.276E+4 36 . . . -4.404E+4 37 . . . -4.564E+4 38 . . . -4.645E+4 39 . . . -4.687E+4 40 . . . -4.685E+4 41 . . . -4.675E+4 42 . . . -4.825E+4 43 . . . -4.960E+4 44 . . . -5.108E+4 45 . . . -5.117E+4 46 . . . -5.057E+4 47 . . . -4.972E+4 48 . . . -5.095E+4 49 . . . -5.190E+4 50 . . . -5.231E+4 51 . . . -5.216E+4 52 . . . -4.738E+4 53 . . . -3.979E+4 54 . . . -3.087E+4 55 . . . -2.925E+4 56 . . . -2.602E+4 57 . . . -2.062E+4 58 . . . -1.209E+4 59 . . . -4633.498 60 . . . EPS ---- EQU TOCEAN0EQ Initial condition for lower ocean temperature LOWER LEVEL UPPER MARGINAL 1 0.007 0.007 0.007 -1.449E+4 ---- 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 -1.235E+4 2 . 1.000 1.000 -1.099E+4 NOPT 3 . 0.735 1.000 . 4 . . 1.000 -2.354E+4 5 . 1.000 1.000 -1.864E+4 NOPT 6 . 1.000 1.000 -1.424E+4 NOPT 7 . 1.000 1.000 -1.115E+4 NOPT 8 . 1.000 1.000 -1.049E+4 NOPT 9 . 0.983 1.000 . 10 . 0.948 1.000 . 11 . 1.000 1.000 -1.443E+4 NOPT 12 . 1.000 1.000 -9265.417 NOPT 13 . 1.000 1.000 -5050.685 NOPT 14 . 0.821 1.000 -3681.283 NOPT 15 . . 1.000 -2299.835 16 . . 1.000 . 17 . 0.970 1.000 . 18 . 1.000 1.000 7911.201 19 . 0.809 1.000 10089.928 NOPT 20 . . 1.000 10745.148 NOPT 21 . 0.810 1.000 10423.039 NOPT 22 . 1.000 1.000 -3113.946 NOPT 23 . 0.922 1.000 . 24 . 0.956 1.000 . 25 . 1.000 1.000 63297.021 26 . 1.000 1.000 54737.650 27 . 1.000 1.000 46476.493 28 . 1.000 1.000 42288.656 29 . 1.000 1.000 56279.972 30 . 1.000 1.000 1.8456E+5 31 . 1.000 1.000 2.5070E+5 32 . 1.000 1.000 2.0105E+5 33 . 1.000 1.000 1.5773E+5 34 . 1.000 1.000 1.1805E+5 35 . 1.000 1.000 84502.312 36 . 1.000 1.000 62479.404 37 . 0.938 1.000 . 38 . 0.997 1.000 . 39 . 1.000 1.000 3.2321E+5 40 . 1.000 1.000 2.4108E+5 41 . 1.000 1.000 1.7209E+5 42 . 1.000 1.000 1.3287E+5 43 . 1.000 1.000 1.2794E+5 44 . 0.950 1.000 . 45 . 1.000 1.000 . 46 . 1.000 1.000 5.3481E+5 47 . 1.000 1.000 3.8071E+5 48 . 1.000 1.000 3.0144E+5 49 . 1.000 1.000 2.6576E+5 50 . 1.000 1.000 2.6460E+5 51 . 0.962 1.000 . 52 . 1.000 1.000 1.3878E+6 53 . 1.000 1.000 7.9947E+5 54 . 1.000 1.000 2.8262E+5 55 . 1.000 1.000 . 56 . 0.173 1.000 36698.233 NOPT 57 . . 1.000 -2.000E+4 58 . . 1.000 -2.299E+5 59 . . 1.000 -3.658E+5 60 . 1.000 1.000 -0.002 ---- VAR FORC Radiative forcing in watts per m2 LOWER LEVEL UPPER MARGINAL 1 -INF 1.791 +INF . 2 -INF 1.936 +INF . 3 -INF 1.902 +INF . 4 -INF 2.163 +INF . 5 -INF 2.327 +INF . 6 -INF 2.177 +INF . 7 -INF 2.103 +INF . 8 -INF 2.054 +INF . 9 -INF 1.972 +INF . 10 -INF 1.895 +INF . 11 -INF 1.884 +INF . 12 -INF 1.858 +INF . 13 -INF 2.053 +INF . 14 -INF 2.514 +INF . 15 -INF 3.157 +INF . 16 -INF 4.963 +INF . 17 -INF 5.934 +INF . 18 -INF 5.217 +INF . 19 -INF 5.085 +INF . 20 -INF 6.234 +INF . 21 -INF 6.945 +INF . 22 -INF 6.320 +INF . 23 -INF 5.733 +INF . 24 -INF 5.285 +INF . 25 -INF 5.046 +INF . 26 -INF 5.278 +INF . 27 -INF 5.367 +INF . 28 -INF 5.028 +INF . 29 -INF 4.758 +INF . 30 -INF 5.328 +INF . 31 -INF 5.794 +INF . 32 -INF 5.412 +INF . 33 -INF 5.170 +INF . 34 -INF 4.952 +INF . 35 -INF 4.713 +INF . 36 -INF 4.514 +INF . 37 -INF 4.343 +INF . 38 -INF 4.192 +INF . 39 -INF 4.093 +INF . 40 -INF 4.113 +INF . 41 -INF 4.081 +INF . 42 -INF 3.932 +INF . 43 -INF 3.800 +INF . 44 -INF 3.682 +INF . 45 -INF 3.573 +INF . 46 -INF 3.503 +INF . 47 -INF 3.507 +INF . 48 -INF 3.470 +INF . 49 -INF 3.355 +INF . 50 -INF 3.252 +INF . 51 -INF 3.159 +INF . 52 -INF 3.081 +INF . 53 -INF 3.063 +INF . 54 -INF 3.150 +INF . 55 -INF 3.157 +INF . 56 -INF 6.620 +INF . 57 -INF 11.708 +INF . 58 -INF 17.769 +INF . 59 -INF 25.382 +INF . 60 -INF 24.395 +INF . ---- VAR TATM Temperature of atmosphere in degrees C LOWER LEVEL UPPER MARGINAL 1 . 0.731 20.000 . 2 . 0.905 20.000 . 3 . 1.014 20.000 . 4 . 1.146 20.000 . 5 . 1.272 20.000 . 6 . 1.325 20.000 . 7 . 1.346 20.000 . 8 . 1.354 20.000 . 9 . 1.344 20.000 . 10 . 1.323 20.000 . 11 . 1.311 20.000 . 12 . 1.300 20.000 . 13 . 1.338 20.000 . 14 . 1.468 20.000 . 15 . 1.696 20.000 . 16 . 2.246 20.000 . 17 . 2.824 20.000 . 18 . 3.050 20.000 . 19 . 3.175 20.000 . 20 . 3.518 20.000 . 21 . 3.906 20.000 . 22 . 4.030 20.000 . 23 . 3.992 20.000 . 24 . 3.877 20.000 . 25 . 3.757 20.000 . 26 . 3.737 20.000 . 27 . 3.750 20.000 . 28 . 3.691 20.000 . 29 . 3.598 20.000 . 30 . 3.669 20.000 . 31 . 3.822 20.000 . 32 . 3.844 20.000 . 33 . 3.810 20.000 . 34 . 3.745 20.000 . 35 . 3.654 20.000 . 36 . 3.555 20.000 . 37 . 3.457 20.000 . 38 . 3.362 20.000 . 39 . 3.281 20.000 . 40 . 3.234 20.000 . 41 . 3.198 20.000 . 42 . 3.143 20.000 . 43 . 3.080 20.000 . 44 . 3.014 20.000 . 45 . 2.947 20.000 . 46 . 2.889 20.000 . 47 . 2.852 20.000 . 48 . 2.820 20.000 . 49 . 2.773 20.000 . 50 . 2.720 20.000 . 51 . 2.665 20.000 . 52 . 2.611 20.000 . 53 . 2.571 20.000 . 54 . 2.563 20.000 . NOPT 55 . 2.559 20.000 . 56 . 3.317 20.000 . 57 . 4.933 20.000 . 58 . 7.327 20.000 . 59 . 10.578 20.000 . 60 . 12.505 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 0.086 20.000 . 4 -1.000 0.133 20.000 . 5 -1.000 0.183 20.000 . 6 -1.000 0.238 20.000 . 7 -1.000 0.292 20.000 . 8 -1.000 0.345 20.000 . 9 -1.000 0.395 20.000 . 10 -1.000 0.443 20.000 . 11 -1.000 0.487 20.000 . 12 -1.000 0.528 20.000 . 13 -1.000 0.566 20.000 . 14 -1.000 0.605 20.000 . 15 -1.000 0.648 20.000 . 16 -1.000 0.701 20.000 . 17 -1.000 0.778 20.000 . 18 -1.000 0.880 20.000 . 19 -1.000 0.989 20.000 . 20 -1.000 1.098 20.000 . 21 -1.000 1.219 20.000 . 22 -1.000 1.353 20.000 . 23 -1.000 1.487 20.000 . 24 -1.000 1.612 20.000 . 25 -1.000 1.726 20.000 . 26 -1.000 1.827 20.000 . 27 -1.000 1.923 20.000 . 28 -1.000 2.014 20.000 . 29 -1.000 2.098 20.000 . 30 -1.000 2.173 20.000 . 31 -1.000 2.248 20.000 . 32 -1.000 2.326 20.000 . 33 -1.000 2.402 20.000 . 34 -1.000 2.473 20.000 . 35 -1.000 2.536 20.000 . 36 -1.000 2.592 20.000 . 37 -1.000 2.640 20.000 . 38 -1.000 2.681 20.000 . 39 -1.000 2.715 20.000 . 40 -1.000 2.743 20.000 . 41 -1.000 2.768 20.000 . 42 -1.000 2.789 20.000 . 43 -1.000 2.807 20.000 . 44 -1.000 2.821 20.000 . 45 -1.000 2.830 20.000 . 46 -1.000 2.836 20.000 . 47 -1.000 2.839 20.000 . 48 -1.000 2.840 20.000 . 49 -1.000 2.839 20.000 . 50 -1.000 2.835 20.000 . 51 -1.000 2.830 20.000 . 52 -1.000 2.821 20.000 . 53 -1.000 2.811 20.000 . 54 -1.000 2.799 20.000 . 55 -1.000 2.787 20.000 . 56 -1.000 2.776 20.000 . 57 -1.000 2.803 20.000 . 58 -1.000 2.909 20.000 . 59 -1.000 3.130 20.000 . 60 -1.000 3.503 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 10.000 842.172 +INF . 4 10.000 840.423 +INF . 5 10.000 903.894 +INF . 6 10.000 871.831 +INF . 7 10.000 847.919 +INF . 8 10.000 838.792 +INF . 9 10.000 822.808 +INF . 10 10.000 805.365 +INF . 11 10.000 791.595 +INF . 12 10.000 791.935 +INF . 13 10.000 783.911 +INF . 14 10.000 840.956 +INF . 15 10.000 900.642 +INF . 16 10.000 1002.606 +INF . 17 10.000 1354.922 +INF . 18 10.000 1242.308 +INF . 19 10.000 1169.641 +INF . 20 10.000 1204.917 +INF . 21 10.000 1450.802 +INF . 22 10.000 1375.694 +INF . 23 10.000 1291.027 +INF . 24 10.000 1226.463 +INF . 25 10.000 1177.075 +INF . 26 10.000 1164.415 +INF . 27 10.000 1230.054 +INF . 28 10.000 1182.273 +INF . 29 10.000 1144.675 +INF . 30 10.000 1114.291 +INF . 31 10.000 1278.620 +INF . 32 10.000 1222.456 +INF . 33 10.000 1184.242 +INF . 34 10.000 1161.810 +INF . 35 10.000 1129.599 +INF . 36 10.000 1102.878 +INF . 37 10.000 1080.273 +INF . 38 10.000 1060.413 +INF . 39 10.000 1042.833 +INF . 40 10.000 1035.348 +INF . 41 10.000 1045.587 +INF . 42 10.000 1026.233 +INF . 43 10.000 1009.253 +INF . 44 10.000 994.153 +INF . 45 10.000 980.352 +INF . 46 10.000 967.676 +INF . 47 10.000 962.803 +INF . 48 10.000 967.579 +INF . 49 10.000 952.999 +INF . 50 10.000 940.094 +INF . 51 10.000 928.448 +INF . 52 10.000 917.710 +INF . 53 10.000 909.940 +INF . 54 10.000 912.708 +INF . 55 10.000 928.956 +INF . 56 10.000 913.406 +INF . 57 10.000 1716.316 +INF . 58 10.000 2300.167 +INF . 59 10.000 3503.341 +INF . 60 10.000 4148.852 +INF . ---- VAR MATAV Average concentrations LOWER LEVEL UPPER MARGINAL 1 . 836.004 +INF . 2 . 852.640 +INF . 3 . 841.297 +INF . 4 . 872.158 +INF . 5 . 887.862 +INF . 6 . 859.875 +INF . 7 . 843.356 +INF . 8 . 830.800 +INF . 9 . 814.086 +INF . 10 . 798.480 +INF . 11 . 791.765 +INF . 12 . 787.923 +INF . 13 . 812.433 +INF . 14 . 870.799 +INF . 15 . 951.624 +INF . 16 . 1178.764 +INF . 17 . 1298.615 +INF . 18 . 1205.974 +INF . 19 . 1187.279 +INF . 20 . 1327.860 +INF . 21 . 1413.248 +INF . 22 . 1333.361 +INF . 23 . 1258.745 +INF . 24 . 1201.769 +INF . 25 . 1170.745 +INF . 26 . 1197.234 +INF . 27 . 1206.164 +INF . 28 . 1163.474 +INF . 29 . 1129.483 +INF . 30 . 1196.456 +INF . 31 . 1250.538 +INF . 32 . 1203.349 +INF . 33 . 1173.026 +INF . 34 . 1145.704 +INF . 35 . 1116.238 +INF . 36 . 1091.576 +INF . 37 . 1070.343 +INF . 38 . 1051.623 +INF . 39 . 1039.090 +INF . 40 . 1040.468 +INF . 41 . 1035.910 +INF . 42 . 1017.743 +INF . 43 . 1001.703 +INF . 44 . 987.252 +INF . 45 . 974.014 +INF . 46 . 965.239 +INF . 47 . 965.191 +INF . 48 . 960.289 +INF . 49 . 946.546 +INF . 50 . 934.271 +INF . 51 . 923.079 +INF . 52 . 913.825 +INF . 53 . 911.324 +INF . 54 . 920.832 +INF . 55 . 921.181 +INF . 56 . 1314.861 +INF . 57 . 2008.241 +INF . 58 . 2901.754 +INF . 59 . 3826.096 +INF . 60 . 2074.426 +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 1336.241 +INF . 5 100.000 1355.947 +INF . 6 100.000 1384.796 +INF . 7 100.000 1403.362 +INF . 8 100.000 1414.705 +INF . 9 100.000 1422.691 +INF . 10 100.000 1426.516 +INF . 11 100.000 1426.519 +INF . 12 100.000 1423.959 +INF . 13 100.000 1421.882 +INF . 14 100.000 1418.634 +INF . 15 100.000 1426.705 +INF . 16 100.000 1444.926 +INF . 17 100.000 1479.807 +INF . 18 100.000 1576.288 +INF . 19 100.000 1637.300 +INF . 20 100.000 1675.640 +INF . 21 100.000 1715.087 +INF . 22 100.000 1795.351 +INF . 23 100.000 1849.668 +INF . 24 100.000 1880.061 +INF . 25 100.000 1893.865 +INF . 26 100.000 1896.399 +INF . 27 100.000 1896.277 +INF . 28 100.000 1908.710 +INF . 29 100.000 1910.381 +INF . 30 100.000 1904.803 +INF . 31 100.000 1894.408 +INF . 32 100.000 1916.763 +INF . 33 100.000 1925.306 +INF . 34 100.000 1925.471 +INF . 35 100.000 1921.481 +INF . 36 100.000 1912.096 +INF . 37 100.000 1899.148 +INF . 38 100.000 1883.939 +INF . 39 100.000 1867.319 +INF . 40 100.000 1849.925 +INF . 41 100.000 1833.778 +INF . 42 100.000 1822.048 +INF . 43 100.000 1808.478 +INF . 44 100.000 1793.788 +INF . 45 100.000 1778.495 +INF . 46 100.000 1762.932 +INF . 47 100.000 1747.349 +INF . 48 100.000 1733.223 +INF . 49 100.000 1722.162 +INF . 50 100.000 1710.051 +INF . 51 100.000 1697.358 +INF . 52 100.000 1684.405 +INF . 53 100.000 1671.401 +INF . 54 100.000 1658.912 +INF . 55 100.000 1648.854 +INF . 56 100.000 1643.420 +INF . 57 100.000 1635.908 +INF . 58 100.000 1781.547 +INF . 59 100.000 2016.326 +INF . 60 100.000 2444.374 +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 18395.023 +INF . 6 1000.000 18405.454 +INF . 7 1000.000 18417.295 +INF . 8 1000.000 18430.027 +INF . 9 1000.000 18443.287 +INF . 10 1000.000 18456.905 +INF . 11 1000.000 18470.671 +INF . 12 1000.000 18484.395 +INF . 13 1000.000 18497.948 +INF . 14 1000.000 18511.355 +INF . 15 1000.000 18524.557 +INF . 16 1000.000 18538.122 +INF . 17 1000.000 18552.556 +INF . 18 1000.000 18568.689 +INF . 19 1000.000 18589.595 +INF . 20 1000.000 18613.487 +INF . 21 1000.000 18639.221 +INF . 22 1000.000 18666.848 +INF . 23 1000.000 18698.402 +INF . 24 1000.000 18732.573 +INF . 25 1000.000 18768.157 +INF . 26 1000.000 18804.320 +INF . 27 1000.000 18840.497 +INF . 28 1000.000 18876.555 +INF . 29 1000.000 18913.123 +INF . 30 1000.000 18949.660 +INF . 31 1000.000 18985.804 +INF . 32 1000.000 19021.316 +INF . 33 1000.000 19057.835 +INF . 34 1000.000 19094.667 +INF . 35 1000.000 19131.392 +INF . 36 1000.000 19167.803 +INF . 37 1000.000 19203.632 +INF . 38 1000.000 19238.701 +INF . 39 1000.000 19272.901 +INF . 40 1000.000 19306.163 +INF . 41 1000.000 19338.451 +INF . 42 1000.000 19369.832 +INF . 43 1000.000 19400.528 +INF . 44 1000.000 19430.450 +INF . 45 1000.000 19459.544 +INF . 46 1000.000 19487.782 +INF . 47 1000.000 19515.155 +INF . 48 1000.000 19541.663 +INF . 49 1000.000 19567.382 +INF . 50 1000.000 19592.467 +INF . 51 1000.000 19616.869 +INF . 52 1000.000 19640.561 +INF . 53 1000.000 19663.530 +INF . 54 1000.000 19685.778 +INF . 55 1000.000 19707.332 +INF . 56 1000.000 19728.316 +INF . 57 1000.000 19748.963 +INF . 58 1000.000 19769.169 +INF . 59 1000.000 19796.595 +INF . 60 1000.000 19835.674 +INF . ---- VAR E CO2-equivalent emissions GtC LOWER LEVEL UPPER MARGINAL 1 . 85.320 +INF . 2 . 17.945 +INF . 3 . 30.045 +INF . 4 . 92.653 +INF . 5 . 7.217 +INF . 6 . 6.495 +INF . 7 . 14.948 +INF . 8 . 5.261 +INF . 9 . . +INF 96.008 10 . . +INF 88.541 11 . 11.503 +INF . 12 . 3.452 +INF . 13 . 67.205 +INF . 14 . 80.958 +INF . 15 . 133.750 +INF . 16 . 401.632 +INF . 17 . . +INF -3.467 18 . 9.251 +INF . 19 . 97.508 +INF . 20 . 311.067 +INF . 21 . 32.782 +INF . 22 . 1.204 +INF . 23 . . +INF -68.991 24 . . +INF -101.321 25 . 26.037 +INF . 26 . 101.694 +INF . 27 . 0.711 +INF . 28 . 0.640 +INF . 29 . 0.576 +INF . 30 . 190.078 +INF . 31 . 1.702 +INF . 32 . 6.848 +INF . 33 . 14.566 +INF . 34 . 0.524 +INF . 35 . 0.306 +INF . 36 . 0.275 +INF . 37 . . +INF -230.090 38 . . +INF -257.511 39 . 8.383 +INF . 40 . 26.381 +INF . 41 . 0.296 +INF . 42 . 0.146 +INF . 43 . 0.132 +INF . 44 . . +INF -301.490 45 . . +INF -326.953 46 . 6.916 +INF . 47 . 17.158 +INF . 48 . 0.079 +INF . 49 . 0.070 +INF . 50 . 0.063 +INF . 51 . . +INF -489.611 52 . 2.195 +INF . 53 . 12.526 +INF . 54 . 27.745 +INF . 55 . . +INF -55.868 56 . 816.044 +INF . 57 . 749.698 +INF . 58 . 1465.378 +INF . 59 . 1112.638 +INF . 60 . 0.022 +INF . ---- VAR C Consumption trillions US dollars LOWER LEVEL UPPER MARGINAL 1 20.000 28.631 +INF . 2 20.000 20.000 +INF 5688.152 NOPT 3 20.000 20.000 +INF 6143.531 NOPT 4 20.000 46.178 +INF . 5 20.000 49.884 +INF . 6 20.000 64.484 +INF . 7 20.000 137.604 +INF . 8 20.000 161.516 +INF . 9 20.000 211.134 +INF . 10 20.000 148.132 +INF . 11 20.000 232.909 +INF . 12 20.000 153.583 +INF . 13 20.000 496.164 +INF . 14 20.000 616.971 +INF . 15 20.000 266.093 +INF . 16 20.000 727.505 +INF . 17 20.000 502.790 +INF . 18 20.000 596.612 +INF . 19 20.000 833.642 +INF . 20 20.000 1310.845 +INF . 21 20.000 260.440 +INF . 22 20.000 361.042 +INF . 23 20.000 731.556 +INF . 24 20.000 794.015 +INF . 25 20.000 1228.499 +INF . 26 20.000 2037.031 +INF . 27 20.000 563.017 +INF . 28 20.000 443.042 +INF . 29 20.000 642.319 +INF . 30 20.000 3273.364 +INF . 31 20.000 2931.695 +INF . 32 20.000 3317.325 +INF . 33 20.000 4383.701 +INF . 34 20.000 6400.511 +INF . 35 20.000 10373.983 +INF . 36 20.000 889.239 +INF . 37 20.000 2704.501 +INF . 38 20.000 3358.807 +INF . 39 20.000 5272.968 +INF . 40 20.000 8710.432 +INF . 41 20.000 14366.859 +INF . 42 20.000 1225.230 +INF . 43 20.000 1299.636 +INF . 44 20.000 4553.154 +INF . 45 20.000 6714.947 +INF . 46 20.000 11555.420 +INF . 47 20.000 19876.778 +INF . 48 20.000 3610.630 +INF . 49 20.000 2526.876 +INF . 50 20.000 2283.314 +INF . 51 20.000 7585.208 +INF . 52 20.000 13438.633 +INF . 53 20.000 24850.097 +INF . 54 20.000 43872.449 +INF . 55 20.000 3225.301 +INF . 56 20.000 3810.201 +INF . 57 20.000 2934.524 +INF . 58 20.000 5669.521 +INF . 59 20.000 4259.981 +INF . 60 20.000 3437.642 +INF . ---- VAR K Capital stock trillions US dollars LOWER LEVEL UPPER MARGINAL 1 100.000 137.000 +INF . 2 100.000 254.459 +INF . 3 100.000 100.000 +INF -120.574 4 100.000 100.000 +INF 218.884 5 100.000 100.000 +INF 189.597 6 100.000 100.000 +INF 116.481 7 100.000 306.680 +INF . 8 100.000 391.475 +INF . 9 100.000 633.339 +INF . 10 100.000 304.954 +INF . 11 100.000 1212.117 +INF . 12 100.000 286.797 +INF -21.392 13 100.000 802.457 +INF . 14 100.000 916.951 +INF . 15 100.000 940.117 +INF . 16 100.000 5264.304 +INF . 17 100.000 2727.435 +INF . 18 100.000 3158.110 +INF . 19 100.000 2847.344 +INF . 20 100.000 2373.073 +INF . 21 100.000 100.000 +INF -3.109 22 100.000 100.000 +INF 1383.471 NOPT 23 100.000 147.473 +INF . 24 100.000 1544.673 +INF . 25 100.000 4381.748 +INF . 26 100.000 4550.475 +INF . 27 100.000 286.797 +INF -9.352 28 100.000 100.000 +INF -1702.898 29 100.000 1491.056 +INF . 30 100.000 27209.300 +INF . 31 100.000 22157.725 +INF . 32 100.000 15587.364 +INF . 33 100.000 11585.147 +INF . 34 100.000 8901.449 +INF . 35 100.000 6920.940 +INF . 36 100.000 100.000 +INF 341.060 37 100.000 1521.761 +INF . 38 100.000 7200.666 +INF . 39 100.000 15210.455 +INF . 40 100.000 15189.931 +INF . 41 100.000 13062.874 +INF . 42 100.000 100.000 +INF -0.371 43 100.000 100.000 +INF -2771.117 44 100.000 3460.321 +INF . 45 100.000 17176.919 +INF . 46 100.000 26053.860 +INF . 47 100.000 24632.822 +INF . 48 100.000 1045.938 +INF . 49 100.000 286.706 +INF -0.775 50 100.000 108.489 +INF -283.578 51 100.000 3227.581 +INF . 52 100.000 32256.929 +INF . 53 100.000 41656.828 +INF . 54 100.000 37989.759 +INF . 55 100.000 100.000 +INF -0.452 56 100.000 286.471 +INF -6.341 57 100.000 100.000 +INF -46.594 58 100.000 814.861 +INF -111.282 59 100.000 284.125 +INF -609.549 60 100.000 100.000 +INF -1987.054 ---- VAR CPC Per capita consumption thousands US dollars LOWER LEVEL UPPER MARGINAL 1 -INF 4.395 +INF . 2 -INF 2.805 +INF . 3 -INF 2.644 +INF . 4 -INF 5.868 +INF . 5 -INF 6.169 +INF . 6 -INF 7.828 +INF . 7 -INF 16.490 +INF . 8 -INF 19.182 +INF . 9 -INF 24.918 +INF . 10 -INF 17.406 +INF . 11 -INF 27.282 +INF . 12 -INF 17.951 +INF . 13 -INF 57.904 +INF . 14 -INF 71.925 +INF . 15 -INF 30.997 +INF . 16 -INF 84.701 +INF . 17 -INF 58.516 +INF . 18 -INF 69.417 +INF . 19 -INF 96.978 +INF . 20 -INF 152.472 +INF . 21 -INF 30.290 +INF . 22 -INF 41.988 +INF . 23 -INF 85.074 +INF . 24 -INF 92.335 +INF . 25 -INF 142.856 +INF . 26 -INF 236.873 +INF . 27 -INF 65.469 +INF . 28 -INF 51.517 +INF . 29 -INF 74.689 +INF . 30 -INF 380.627 +INF . 31 -INF 340.897 +INF . 32 -INF 385.737 +INF . 33 -INF 509.734 +INF . 34 -INF 744.247 +INF . 35 -INF 1206.279 +INF . 36 -INF 103.400 +INF . 37 -INF 314.477 +INF . 38 -INF 390.559 +INF . 39 -INF 613.136 +INF . 40 -INF 1012.841 +INF . 41 -INF 1670.565 +INF . 42 -INF 142.469 +INF . 43 -INF 151.120 +INF . 44 -INF 529.437 +INF . 45 -INF 780.808 +INF . 46 -INF 1343.654 +INF . 47 -INF 2311.253 +INF . 48 -INF 419.841 +INF . 49 -INF 293.823 +INF . 50 -INF 265.502 +INF . 51 -INF 882.001 +INF . 52 -INF 1562.632 +INF . 53 -INF 2889.546 +INF . 54 -INF 5101.448 +INF . 55 -INF 375.035 +INF . 56 -INF 443.047 +INF . 57 -INF 341.224 +INF . 58 -INF 659.247 +INF . 59 -INF 495.347 +INF . 60 -INF 399.726 +INF . ---- VAR PCY Per capita income thousands US dollars LOWER LEVEL UPPER MARGINAL 1 -INF 8.533 +INF . 2 -INF 10.751 +INF . 3 -INF 8.782 +INF . 4 -INF 10.774 +INF . 5 -INF 10.092 +INF . 6 -INF 11.128 +INF . 7 -INF 19.900 +INF . 8 -INF 25.083 +INF . 9 -INF 25.911 +INF . 10 -INF 30.399 +INF . 11 -INF 37.614 +INF . 12 -INF 26.162 +INF . 13 -INF 65.340 +INF . 14 -INF 79.158 +INF . 15 -INF 88.502 +INF . 16 -INF 95.085 +INF . 17 -INF 84.204 +INF . 18 -INF 89.735 +INF . 19 -INF 113.035 +INF . 20 -INF 165.151 +INF . 21 -INF 40.207 +INF . 22 -INF 43.298 +INF . 23 -INF 102.439 +INF . 24 -INF 137.026 +INF . 25 -INF 178.006 +INF . 26 -INF 264.496 +INF . 27 -INF 87.160 +INF . 28 -INF 68.450 +INF . 29 -INF 385.035 +INF . 30 -INF 527.959 +INF . 31 -INF 432.310 +INF . 32 -INF 457.251 +INF . 33 -INF 566.269 +INF . 34 -INF 788.633 +INF . 35 -INF 1240.949 +INF . 36 -INF 120.689 +INF . 37 -INF 392.036 +INF . 38 -INF 538.231 +INF . 39 -INF 728.094 +INF . 40 -INF 1103.149 +INF . 41 -INF 1741.226 +INF . 42 -INF 197.365 +INF . 43 -INF 190.951 +INF . 44 -INF 715.139 +INF . 45 -INF 1014.118 +INF . 46 -INF 1524.449 +INF . 47 -INF 2451.689 +INF . 48 -INF 528.709 +INF . 49 -INF 378.022 +INF . 50 -INF 302.592 +INF . 51 -INF 1243.996 +INF . 52 -INF 1916.231 +INF . 53 -INF 3162.394 +INF . 54 -INF 5312.332 +INF . 55 -INF 537.735 +INF . 56 -INF 568.373 +INF . 57 -INF 434.237 +INF . 58 -INF 850.399 +INF . 59 -INF 642.344 +INF . 60 -INF 512.826 +INF . ---- VAR I Investment trillions US dollars LOWER LEVEL UPPER MARGINAL 1 . 26.952 +INF . 2 . 56.653 +INF . 3 . 46.431 +INF . 4 . 38.616 +INF . 5 . 31.713 +INF . 6 . 27.181 +INF . 7 . 28.454 +INF . 8 . 49.684 +INF . 9 . 8.412 +INF . 10 . 110.579 +INF . 11 . 88.203 +INF . 12 . 70.246 +INF . 13 . 63.715 +INF . 14 . 62.040 +INF . 15 . 493.651 +INF . 16 . 89.189 +INF . 17 . 220.711 +INF . 18 . 174.618 +INF . 19 . 138.026 +INF . 20 . 109.007 +INF . 21 . 85.261 +INF . 22 . 11.260 +INF . 23 . 149.325 +INF . 24 . 384.315 +INF . 25 . 302.265 +INF . 26 . 237.545 +INF . 27 . 186.537 +INF . 28 . 145.619 +INF . 29 . 2668.940 +INF . 30 . 1267.043 +INF . 31 . 786.144 +INF . 32 . 615.017 +INF . 33 . 486.196 +INF . 34 . 381.720 +INF . 35 . 298.156 +INF . 36 . 148.689 +INF . 37 . 667.006 +INF . 38 . 1269.974 +INF . 39 . 988.637 +INF . 40 . 776.647 +INF . 41 . 607.680 +INF . 42 . 472.112 +INF . 43 . 342.545 +INF . 44 . 1597.038 +INF . 45 . 2006.464 +INF . 46 . 1554.840 +INF . 47 . 1207.743 +INF . 48 . 936.268 +INF . 49 . 724.114 +INF . 50 . 318.975 +INF . 51 . 3113.154 +INF . 52 . 3040.953 +INF . 53 . 2346.492 +INF . 54 . 1813.603 +INF . 55 . 1399.222 +INF . 56 . 1077.811 +INF . 57 . 799.917 +INF . 58 . 1643.910 +INF . 59 . 1264.180 +INF . 60 . 972.659 +INF . ---- VAR S Gross savings rate as fraction of gross world product LOWER LEVEL UPPER MARGINAL 1 0.220 0.220 0.220 -3.751E+5 2 0.220 0.220 0.220 11934.458 3 0.220 0.220 0.220 1.5536E+5 4 0.220 0.220 0.220 -1.840E+5 5 0.220 0.220 0.220 -1.183E+5 6 0.220 0.220 0.220 -4.576E+4 7 0.220 0.220 0.220 -7394.533 8 0.220 0.220 0.220 1439.394 9 0.220 0.220 0.220 27243.609 10 0.220 0.220 0.220 -7905.708 11 0.220 0.220 0.220 -6264.592 12 0.220 0.220 0.220 -2.948E+5 13 0.220 0.220 0.220 -2.951E+5 14 0.220 0.220 0.220 -2.752E+5 15 0.220 0.220 0.220 -9607.714 16 0.220 0.220 0.220 -3.734E+4 17 0.220 0.220 0.220 -1.174E+5 18 0.220 0.220 0.220 -2.610E+5 19 0.220 0.220 0.220 -4.601E+5 20 0.220 0.220 0.220 -64.967 21 0.220 0.220 0.220 -1111.498 22 0.220 0.220 0.220 5.8061E+5 23 0.220 0.220 0.220 -1529.467 24 0.220 0.220 0.220 -4.220E+5 25 0.220 0.220 0.220 -8.390E+5 26 0.220 0.220 0.220 -23.957 27 0.220 0.220 0.220 -211.597 28 0.220 0.220 0.220 -2.132E+7 29 0.220 0.220 0.220 -6.700E+5 30 0.220 0.220 0.220 -2.913E+6 31 0.220 0.220 0.220 -8.688E+6 32 0.220 0.220 0.220 -1.890E+7 33 0.220 0.220 0.220 -3.598E+7 34 0.220 0.220 0.220 -5.345E+7 35 0.220 0.220 0.220 -0.360 36 0.220 0.220 0.220 1.3466E+5 37 0.220 0.220 0.220 -8.749E+6 38 0.220 0.220 0.220 -2.699E+7 39 0.220 0.220 0.220 -5.804E+7 40 0.220 0.220 0.220 -8.860E+7 41 0.220 0.220 0.220 -190.408 42 0.220 0.220 0.220 -12.144 43 0.220 0.220 0.220 -9.226E+5 44 0.220 0.220 0.220 -2.757E+7 45 0.220 0.220 0.220 -7.733E+7 46 0.220 0.220 0.220 -1.372E+8 47 0.220 0.220 0.220 -1.571E+5 48 0.220 0.220 0.220 -1.136 49 0.220 0.220 0.220 -1.546 50 0.220 0.220 0.220 -1.389E+5 51 0.220 0.220 0.220 -2.108E+8 52 0.220 0.220 0.220 -5.382E+8 53 0.220 0.220 0.220 -8.746E+8 54 0.220 0.220 0.220 -1957.912 55 0.220 0.220 0.220 -0.760 56 0.220 0.220 0.220 -0.355 57 0.220 0.220 0.220 -0.400 58 0.220 0.220 0.220 -0.183 59 0.220 0.220 0.220 -0.216 60 0.220 0.220 0.220 -0.219 ---- VAR RI Real interest rate per annum LOWER LEVEL UPPER MARGINAL 1 -INF 0.057 +INF . 2 -INF 0.025 +INF . 3 -INF 0.134 +INF . 4 -INF 0.189 +INF . 5 -INF 0.180 +INF . 6 -INF 0.210 +INF . 7 -INF 0.097 +INF . 8 -INF 0.097 +INF . 9 -INF 0.039 +INF . 10 -INF 0.189 +INF . 11 -INF 0.014 +INF . 12 -INF 0.169 +INF . 13 -INF 0.144 +INF . 14 -INF 0.157 +INF . 15 -INF 0.177 +INF . 16 -INF -0.019 +INF . 17 -INF 0.014 +INF . 18 -INF 0.008 +INF . 19 -INF 0.037 +INF . 20 -INF 0.114 +INF . 21 -INF 0.972 +INF . 22 -INF 1.052 +INF . 23 -INF 1.727 +INF . 24 -INF 0.164 +INF . 25 -INF 0.040 +INF . 26 -INF 0.085 +INF . 27 -INF 0.719 +INF . 28 -INF 1.701 +INF . 29 -INF 0.601 +INF . 30 -INF -0.015 +INF . 31 -INF -0.015 +INF . 32 -INF 0.011 +INF . 33 -INF 0.061 +INF . 34 -INF 0.163 +INF . 35 -INF 0.397 +INF . 36 -INF 3.049 +INF . 37 -INF 0.600 +INF . 38 -INF 0.128 +INF . 39 -INF 0.058 +INF . 40 -INF 0.122 +INF . 41 -INF 0.279 +INF . 42 -INF 5.027 +INF . 43 -INF 4.861 +INF . 44 -INF 0.468 +INF . 45 -INF 0.087 +INF . 46 -INF 0.086 +INF . 47 -INF 0.192 +INF . 48 -INF 1.239 +INF . 49 -INF 3.337 +INF . 50 -INF 7.131 +INF . 51 -INF 0.929 +INF . 52 -INF 0.088 +INF . 53 -INF 0.131 +INF . 54 -INF 0.296 +INF . 55 -INF 13.808 +INF . 56 -INF 5.054 +INF . 57 -INF 11.138 +INF . 58 -INF 2.627 +INF . 59 -INF 5.768 +INF . 60 -INF 13.166 +INF . ---- VAR Y Gross world product net of abatement and damages LOWER LEVEL UPPER MARGINAL 1 . 55.583 +INF . 2 . 76.653 +INF . 3 . 66.431 +INF . 4 . 84.793 +INF . 5 . 81.597 +INF . 6 . 91.665 +INF . 7 . 166.058 +INF . 8 . 211.200 +INF . 9 . 219.547 +INF . 10 . 258.711 +INF . 11 . 321.113 +INF . 12 . 223.829 +INF . 13 . 559.879 +INF . 14 . 679.011 +INF . 15 . 759.744 +INF . 16 . 816.694 +INF . 17 . 723.501 +INF . 18 . 771.229 +INF . 19 . 971.668 +INF . 20 . 1419.852 +INF . 21 . 345.701 +INF . 22 . 372.303 +INF . 23 . 880.882 +INF . 24 . 1178.331 +INF . 25 . 1530.764 +INF . 26 . 2274.576 +INF . 27 . 749.554 +INF . 28 . 588.660 +INF . 29 . 3311.260 +INF . 30 . 4540.406 +INF . 31 . 3717.839 +INF . 32 . 3932.342 +INF . 33 . 4869.897 +INF . 34 . 6782.231 +INF . 35 . 10672.140 +INF . 36 . 1037.928 +INF . 37 . 3371.507 +INF . 38 . 4628.781 +INF . 39 . 6261.605 +INF . 40 . 9487.080 +INF . 41 . 14974.539 +INF . 42 . 1697.342 +INF . 43 . 1642.181 +INF . 44 . 6150.192 +INF . 45 . 8721.411 +INF . 46 . 13110.260 +INF . 47 . 21084.521 +INF . 48 . 4546.897 +INF . 49 . 3250.990 +INF . 50 . 2602.289 +INF . 51 . 10698.362 +INF . 52 . 16479.586 +INF . 53 . 27196.589 +INF . 54 . 45686.053 +INF . 55 . 4624.524 +INF . 56 . 4888.011 +INF . 57 . 3734.441 +INF . 58 . 7313.431 +INF . 59 . 5524.162 +INF . 60 . 4410.300 +INF . ---- VAR YGROSS Gross world product GROSS of abatement and damages LOWER LEVEL UPPER MARGINAL 1 . 55.667 +INF . 2 . 84.713 +INF . 3 . 68.141 +INF . 4 . 77.003 +INF . 5 . 86.166 +INF . 6 . 95.761 +INF . 7 . 171.558 +INF . 8 . 218.700 +INF . 9 . 231.012 +INF . 10 . 267.955 +INF . 11 . 330.416 +INF . 12 . 230.406 +INF . 13 . 569.423 +INF . 14 . 689.068 +INF . 15 . 765.129 +INF . 16 . 809.343 +INF . 17 . 746.207 +INF . 18 . 792.221 +INF . 19 . 988.239 +INF . 20 . 1428.630 +INF . 21 . 354.241 +INF . 22 . 383.115 +INF . 23 . 921.645 +INF . 24 . 1216.331 +INF . 25 . 1565.056 +INF . 26 . 2308.467 +INF . 27 . 768.223 +INF . 28 . 602.799 +INF . 29 . 3353.924 +INF . 30 . 4615.749 +INF . 31 . 3796.873 +INF . 32 . 4002.337 +INF . 33 . 4938.890 +INF . 34 . 6861.832 +INF . 35 . 10778.317 +INF . 36 . 1057.385 +INF . 37 . 3454.177 +INF . 38 . 4718.926 +INF . 39 . 6348.855 +INF . 40 . 9585.699 +INF . 41 . 15105.266 +INF . 42 . 1726.853 +INF . 43 . 1666.576 +INF . 44 . 6260.791 +INF . 45 . 8844.925 +INF . 46 . 13242.678 +INF . 47 . 21251.046 +INF . 48 . 4603.031 +INF . 49 . 3291.710 +INF . 50 . 2635.857 +INF . 51 . 10851.273 +INF . 52 . 16652.219 +INF . 53 . 27404.375 +INF . 54 . 45973.670 +INF . 55 . 4684.302 +INF . 56 . 4899.138 +INF . 57 . 3772.957 +INF . 58 . 7472.248 +INF . 59 . 5746.236 +INF . 60 . 4428.925 +INF . ---- VAR YNET Output net of damages equation LOWER LEVEL UPPER MARGINAL 1 -INF 55.583 +INF . 2 -INF 84.517 +INF . 3 -INF 67.943 +INF . 4 -INF 76.717 +INF . 5 -INF 85.772 +INF . 6 -INF 95.286 +INF . 7 -INF 170.680 +INF . 8 -INF 217.569 +INF . 9 -INF 229.835 +INF . 10 -INF 266.630 +INF . 11 -INF 328.812 +INF . 12 -INF 229.306 +INF . 13 -INF 566.542 +INF . 14 -INF 684.880 +INF . 15 -INF 758.929 +INF . 16 -INF 797.912 +INF . 17 -INF 729.690 +INF . 18 -INF 771.844 +INF . 19 -INF 960.741 +INF . 20 -INF 1380.154 +INF . 21 -INF 339.539 +INF . 22 -INF 366.227 +INF . 23 -INF 881.759 +INF . 24 -INF 1166.558 +INF . 25 -INF 1504.757 +INF . 26 -INF 2220.427 +INF . 27 -INF 738.726 +INF . 28 -INF 580.357 +INF . 29 -INF 3235.013 +INF . 30 -INF 4445.865 +INF . 31 -INF 3645.661 +INF . 32 -INF 3841.205 +INF . 33 -INF 4743.409 +INF . 34 -INF 6599.117 +INF . 35 -INF 10384.652 +INF . 36 -INF 1020.757 +INF . 37 -INF 3340.867 +INF . 38 -INF 4572.239 +INF . 39 -INF 6160.642 +INF . 40 -INF 9309.334 +INF . 41 -INF 14679.068 +INF . 42 -INF 1679.733 +INF . 43 -INF 1622.866 +INF . 44 -INF 6103.412 +INF . 45 -INF 8632.059 +INF . 46 -INF 12936.205 +INF . 47 -INF 20771.445 +INF . 48 -INF 4501.437 +INF . 49 -INF 3221.378 +INF . 50 -INF 2581.628 +INF . 51 -INF 10636.871 +INF . 52 -INF 16336.086 +INF . 53 -INF 26899.561 +INF . 54 -INF 45131.736 +INF . 55 -INF 4598.803 +INF . 56 -INF 4750.711 +INF . 57 -INF 3529.154 +INF . 58 -INF 6484.087 +INF . 59 -INF 4361.070 +INF . 60 -INF 3067.261 +INF . ---- VAR DAMAGES Damages LOWER LEVEL UPPER MARGINAL 1 -INF 0.084 +INF . 2 -INF 0.197 +INF . 3 -INF 0.199 +INF . 4 -INF 0.286 +INF . 5 -INF 0.394 +INF . 6 -INF 0.475 +INF . 7 -INF 0.878 +INF . 8 -INF 1.132 +INF . 9 -INF 1.178 +INF . 10 -INF 1.326 +INF . 11 -INF 1.604 +INF . 12 -INF 1.100 +INF . 13 -INF 2.881 +INF . 14 -INF 4.188 +INF . 15 -INF 6.200 +INF . 16 -INF 11.430 +INF . 17 -INF 16.517 +INF . 18 -INF 20.376 +INF . 19 -INF 27.498 +INF . 20 -INF 48.477 +INF . 21 -INF 14.702 +INF . 22 -INF 16.888 +INF . 23 -INF 39.886 +INF . 24 -INF 49.772 +INF . 25 -INF 60.299 +INF . 26 -INF 88.040 +INF . 27 -INF 29.497 +INF . 28 -INF 22.442 +INF . 29 -INF 118.912 +INF . 30 -INF 169.884 +INF . 31 -INF 151.212 +INF . 32 -INF 161.131 +INF . 33 -INF 195.482 +INF . 34 -INF 262.715 +INF . 35 -INF 393.665 +INF . 36 -INF 36.628 +INF . 37 -INF 113.310 +INF . 38 -INF 146.687 +INF . 39 -INF 188.213 +INF . 40 -INF 276.365 +INF . 41 -INF 426.198 +INF . 42 -INF 47.119 +INF . 43 -INF 43.710 +INF . 44 -INF 157.379 +INF . 45 -INF 212.866 +INF . 46 -INF 306.473 +INF . 47 -INF 479.601 +INF . 48 -INF 101.595 +INF . 49 -INF 70.332 +INF . 50 -INF 54.229 +INF . 51 -INF 214.403 +INF . 52 -INF 316.132 +INF . 53 -INF 504.814 +INF . 54 -INF 841.935 +INF . 55 -INF 85.499 +INF . 56 -INF 148.427 +INF . 57 -INF 243.803 +INF . 58 -INF 988.161 +INF . 59 -INF 1385.166 +INF . 60 -INF 1361.664 +INF . ---- VAR ABATECOST Cost of emissions reductions LOWER LEVEL UPPER MARGINAL 1 -INF 1.3292E-5 +INF . 2 -INF 4.327 +INF . 3 -INF 1.345 +INF . 4 -INF . +INF . 5 -INF 3.380 +INF . 6 -INF 3.457 +INF . 7 -INF 5.712 +INF . 8 -INF 6.732 +INF . 9 -INF 6.272 +INF . 10 -INF 6.120 +INF . 11 -INF 8.146 +INF . 12 -INF 5.298 +INF . 13 -INF 12.236 +INF . 14 -INF 7.974 +INF . 15 -INF . +INF . 16 -INF . +INF . 17 -INF 11.440 +INF . 18 -INF 12.494 +INF . 19 -INF 8.131 +INF . 20 -INF . +INF . 21 -INF 2.633 +INF . 22 -INF 4.872 +INF . 23 -INF 8.888 +INF . 24 -INF 12.381 +INF . 25 -INF 17.220 +INF . 26 -INF 24.276 +INF . 27 -INF 7.732 +INF . 28 -INF 5.815 +INF . 29 -INF 31.050 +INF . 30 -INF 41.064 +INF . 31 -INF 32.501 +INF . 32 -INF 33.005 +INF . 33 -INF 39.282 +INF . 34 -INF 52.700 +INF . 35 -INF 80.022 +INF . 36 -INF 7.597 +INF . 37 -INF 20.106 +INF . 38 -INF 31.602 +INF . 39 -INF 41.599 +INF . 40 -INF 61.026 +INF . 41 -INF 93.526 +INF . 42 -INF 10.408 +INF . 43 -INF 9.786 +INF . 44 -INF 31.054 +INF . 45 -INF 49.408 +INF . 46 -INF 72.266 +INF . 47 -INF 113.347 +INF . 48 -INF 24.014 +INF . 49 -INF 16.809 +INF . 50 -INF 13.184 +INF . 51 -INF 47.720 +INF . 52 -INF 80.072 +INF . 53 -INF 129.325 +INF . 54 -INF 213.052 +INF . 55 -INF 21.327 +INF . 56 -INF 0.161 +INF . 57 -INF . +INF . 58 -INF . +INF . 59 -INF . +INF . 60 -INF 18.623 +INF . ---- VAR CCA Cumulative industrial carbon emissions GTC LOWER LEVEL UPPER MARGINAL 1 . . 6000.000 . 2 . 85.320 6000.000 . 3 . 103.265 6000.000 . 4 . 133.311 6000.000 . 5 . 225.963 6000.000 . 6 . 233.180 6000.000 . 7 . 239.676 6000.000 . 8 . 254.624 6000.000 . 9 . 259.885 6000.000 . 10 . 259.885 6000.000 . 11 . 259.885 6000.000 . 12 . 271.388 6000.000 . 13 . 274.840 6000.000 . 14 . 342.045 6000.000 . 15 . 423.003 6000.000 . 16 . 556.753 6000.000 . 17 . 958.385 6000.000 . 18 . 958.385 6000.000 . 19 . 967.636 6000.000 . 20 . 1065.144 6000.000 . 21 . 1376.211 6000.000 . 22 . 1408.993 6000.000 . 23 . 1410.197 6000.000 . 24 . 1410.197 6000.000 . 25 . 1410.197 6000.000 . 26 . 1436.234 6000.000 . 27 . 1537.928 6000.000 . 28 . 1538.639 6000.000 . 29 . 1539.278 6000.000 . 30 . 1539.854 6000.000 . 31 . 1729.932 6000.000 . 32 . 1731.634 6000.000 . 33 . 1738.482 6000.000 . 34 . 1753.048 6000.000 . 35 . 1753.572 6000.000 . 36 . 1753.878 6000.000 . 37 . 1754.153 6000.000 . 38 . 1754.153 6000.000 . 39 . 1754.153 6000.000 . 40 . 1762.536 6000.000 . 41 . 1788.917 6000.000 . 42 . 1789.213 6000.000 . 43 . 1789.359 6000.000 . 44 . 1789.491 6000.000 . 45 . 1789.491 6000.000 . 46 . 1789.491 6000.000 . 47 . 1796.406 6000.000 . 48 . 1813.564 6000.000 . 49 . 1813.643 6000.000 . 50 . 1813.713 6000.000 . 51 . 1813.776 6000.000 . 52 . 1813.776 6000.000 . 53 . 1815.971 6000.000 . 54 . 1828.498 6000.000 . 55 . 1856.242 6000.000 . 56 . 1856.242 6000.000 . 57 . 2672.286 6000.000 . 58 . 3421.984 6000.000 . 59 . 4887.362 6000.000 . 60 . 6000.000 6000.000 -549.898 ---- VAR PERIODU One period utility function LOWER LEVEL UPPER MARGINAL 1 -INF -226.517 +INF . 2 -INF -355.501 +INF . 3 -INF -377.206 +INF . 4 -INF -169.430 +INF . 5 -INF -161.089 +INF . 6 -INF -126.745 +INF . 7 -INF -59.642 +INF . 8 -INF -51.131 +INF . 9 -INF -39.132 +INF . 10 -INF -56.453 +INF . 11 -INF -35.654 +INF . 12 -INF -54.707 +INF . 13 -INF -16.270 +INF . 14 -INF -12.903 +INF . 15 -INF -31.261 +INF . 16 -INF -10.806 +INF . 17 -INF -16.089 +INF . 18 -INF -13.406 +INF . 19 -INF -9.312 +INF . 20 -INF -5.559 +INF . 21 -INF -32.014 +INF . 22 -INF -22.816 +INF . 23 -INF -10.754 +INF . 24 -INF -9.830 +INF . 25 -INF -6.000 +INF . 26 -INF -3.222 +INF . 27 -INF -14.274 +INF . 28 -INF -18.411 +INF . 29 -INF -12.389 +INF . 30 -INF -1.627 +INF . 31 -INF -1.933 +INF . 32 -INF -1.592 +INF . 33 -INF -0.962 +INF . 34 -INF -0.344 +INF . 35 -INF 0.171 +INF . 36 -INF -8.671 +INF . 37 -INF -2.180 +INF . 38 -INF -1.560 +INF . 39 -INF -0.631 +INF . 40 -INF 0.013 +INF . 41 -INF 0.401 +INF . 42 -INF -6.019 +INF . 43 -INF -5.617 +INF . 44 -INF -0.889 +INF . 45 -INF -0.281 +INF . 46 -INF 0.256 +INF . 47 -INF 0.567 +INF . 48 -INF -1.382 +INF . 49 -INF -2.403 +INF . 50 -INF -2.766 +INF . 51 -INF -0.134 +INF . 52 -INF 0.360 +INF . 53 -INF 0.654 +INF . 54 -INF 0.804 +INF . 55 -INF -1.666 +INF . 56 -INF -1.257 +INF . 57 -INF -1.931 +INF . 58 -INF -0.517 +INF . 59 -INF -1.019 +INF . 60 -INF -1.502 +INF . LOWER LEVEL UPPER MARGINAL ---- VAR UTILITY -INF -6.868E+4 +INF . **** REPORT SUMMARY : 27 NONOPT ( NOPT) 0 INFEASIBLE 0 UNBOUNDED 2 ERRORS ( ****) GAMS Rev 237 LEX-LEG 23.7.1 x86_64/Linux 09/14/11 00:04:35 Page 4 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Model Statistics SOLVE CO2 Using NLP From line 307 MODEL STATISTICS BLOCKS OF EQUATIONS 30 SINGLE EQUATIONS 1,263 BLOCKS OF VARIABLES 24 SINGLE VARIABLES 1,381 NON ZERO ELEMENTS 3,767 NON LINEAR N-Z 1,080 DERIVATIVE POOL 6 CONSTANT POOL 327 CODE LENGTH 5,643 GENERATION TIME = 0.007 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 00:04:35 Page 5 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Solution Report SOLVE CO2 Using NLP From line 307 S O L V E S U M M A R Y MODEL CO2 OBJECTIVE UTILITY TYPE NLP DIRECTION MAXIMIZE SOLVER MINOS FROM LINE 307 **** SOLVER STATUS 1 Normal Completion **** MODEL STATUS 2 Locally Optimal **** OBJECTIVE VALUE 150161.7624 RESOURCE USAGE, LIMIT 1.310 99999.000 ITERATION COUNT, LIMIT 965 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: 150161.8 ---- EQU CCTFIRST First period cumulative carbon LOWER LEVEL UPPER MARGINAL 1 . . . 2.3252E-6 ---- EQU CCACCA Cumulative carbon emissions LOWER LEVEL UPPER MARGINAL 2 . . . 2.3252E-6 3 . . . 2.3252E-6 4 . . . 2.3252E-6 5 . . . 2.3252E-6 6 . . . 2.3252E-6 7 . . . 2.3252E-6 8 . . . 2.3252E-6 9 . . . 2.3252E-6 10 . . . 2.3252E-6 11 . . . 2.3252E-6 12 . . . 2.3252E-6 13 . . . 2.3252E-6 14 . . . 2.3252E-6 15 . . . 2.3252E-6 16 . . . 2.3252E-6 17 . . . 2.3252E-6 18 . . . 2.3252E-6 19 . . . 2.3252E-6 20 . . . 2.3252E-6 21 . . . 2.3252E-6 22 . . . 2.3252E-6 23 . . . 2.3252E-6 24 . . . 2.3252E-6 25 . . . 2.3252E-6 26 . . . 2.3252E-6 27 . . . 2.3252E-6 28 . . . 2.3252E-6 29 . . . 2.3252E-6 30 . . . 2.3252E-6 31 . . . 2.3252E-6 32 . . . 2.3252E-6 33 . . . 2.3252E-6 34 . . . 2.3252E-6 35 . . . 2.3252E-6 36 . . . 2.3252E-6 37 . . . 2.3252E-6 38 . . . 2.3252E-6 39 . . . 2.3252E-6 40 . . . 2.3252E-6 41 . . . 2.3252E-6 42 . . . 2.3252E-6 43 . . . 2.3252E-6 44 . . . 2.3252E-6 45 . . . 2.3252E-6 46 . . . 2.3252E-6 47 . . . 2.3252E-6 48 . . . 2.3252E-6 49 . . . 2.3252E-6 50 . . . 2.3252E-6 51 . . . 2.3252E-6 52 . . . 2.3252E-6 53 . . . 2.3252E-6 54 . . . 2.3252E-6 55 . . . 2.3252E-6 56 . . . 2.3252E-6 57 . . . 2.3252E-6 58 . . . 2.3252E-6 59 . . . 2.3252E-6 60 . . . 2.3252E-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 . . . 1171.331 2 . . . 765.926 3 . . . 493.212 4 . . . 318.074 5 . . . 206.510 6 . . . 135.112 7 . . . 89.038 8 . . . 59.050 9 . . . 39.380 10 . . . 26.388 11 . . . 17.758 12 . . . 11.993 13 . . . 8.126 14 . . . 5.522 15 . . . 3.763 16 . . . 2.571 17 . . . 1.761 18 . . . 1.208 19 . . . 0.831 20 . . . 0.572 21 . . . 0.394 22 . . . 0.270 23 . . . 0.186 24 . . . 0.128 25 . . . 0.088 26 . . . 0.061 27 . . . 0.042 28 . . . 0.029 29 . . . 0.020 30 . . . 0.014 31 . . . 0.010 32 . . . 0.007 33 . . . 0.005 34 . . . 0.003 35 . . . 0.002 36 . . . 0.002 37 . . . 0.001 38 . . . 8.5921E-4 39 . . . 5.9857E-4 40 . . . 4.0406E-4 41 . . . 2.4878E-4 42 . . . 2.5349E-4 43 . . . 2.4543E-4 44 . . . 1.4158E-4 45 . . . 9.0229E-5 46 . . . 5.8568E-5 47 . . . 3.5502E-5 48 . . . 7.2361E-5 49 . . . 5.7958E-5 50 . . . 1.3183E-5 51 . . . 2.7035E-5 52 . . . 1.2851E-5 53 . . . 7.4568E-6 54 . . . 4.3239E-6 55 . . . 1.4907E-4 56 . . . EPS 57 . . . 9.2165E-5 58 . . . 1.3876E-5 59 . . . EPS 60 . . . 4.4332E-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 . . . 1169.558 2 . . . 763.742 3 . . . 491.118 4 . . . 316.199 5 . . . 204.902 6 . . . 133.773 7 . . . 87.950 8 . . . 58.182 9 . . . 38.697 10 . . . 25.858 11 . . . 17.351 12 . . . 11.684 13 . . . 7.894 14 . . . 5.350 15 . . . 3.636 16 . . . 2.477 17 . . . 1.692 18 . . . 1.159 19 . . . 0.795 20 . . . 0.546 21 . . . 0.376 22 . . . 0.258 23 . . . 0.178 24 . . . 0.123 25 . . . 0.085 26 . . . 0.059 27 . . . 0.041 28 . . . 0.028 29 . . . 0.020 30 . . . 0.014 31 . . . 0.010 32 . . . 0.007 33 . . . 0.005 34 . . . 0.003 35 . . . 0.002 36 . . . 0.002 37 . . . 0.001 38 . . . 8.3849E-4 39 . . . 5.8458E-4 40 . . . 3.9490E-4 41 . . . 2.4331E-4 42 . . . 2.4808E-4 43 . . . 2.4035E-4 44 . . . 1.3873E-4 45 . . . 8.8472E-5 46 . . . 5.7461E-5 47 . . . 3.4851E-5 48 . . . 7.1072E-5 49 . . . 5.6922E-5 50 . . . 1.2856E-5 51 . . . 2.6315E-5 52 . . . 1.2492E-5 53 . . . 7.2245E-6 54 . . . 4.1773E-6 55 . . . 1.4334E-4 56 . . . EPS 57 . . . 8.7028E-5 58 . . . 2.4889E-8 59 . . . EPS 60 . . . 4.1127E-5 ---- EQU DAMEQ Damage equation LOWER LEVEL UPPER MARGINAL 1 . . . EPS 2 . . . EPS 3 . . . EPS 4 . . . EPS 5 . . . EPS 6 . . . EPS 7 . . . EPS 8 . . . EPS 9 . . . EPS 10 . . . EPS 11 . . . EPS 12 . . . EPS 13 . . . EPS 14 . . . EPS 15 . . . EPS 16 . . . EPS 17 . . . EPS 18 . . . EPS 19 . . . EPS 20 . . . EPS 21 . . . EPS 22 . . . EPS 23 . . . EPS 24 . . . EPS 25 . . . EPS 26 . . . EPS 27 . . . EPS 28 . . . EPS 29 . . . EPS 30 . . . EPS 31 . . . EPS 32 . . . EPS 33 . . . EPS 34 . . . EPS 35 . . . EPS 36 . . . EPS 37 . . . EPS 38 . . . EPS 39 . . . EPS 40 . . . EPS 41 . . . EPS 42 . . . EPS 43 . . . EPS 44 . . . EPS 45 . . . EPS 46 . . . EPS 47 . . . EPS 48 . . . EPS 49 . . . EPS 50 . . . EPS 51 . . . EPS 52 . . . EPS 53 . . . EPS 54 . . . EPS 55 . . . EPS 56 . . . EPS 57 . . . EPS 58 . . . EPS 59 . . . EPS 60 . . . EPS ---- EQU ABATEEQ Cost of emissions reductions equation LOWER LEVEL UPPER MARGINAL 1 . . . EPS 2 . . . EPS 3 . . . EPS 4 . . . EPS 5 . . . EPS 6 . . . EPS 7 . . . EPS 8 . . . EPS 9 . . . EPS 10 . . . EPS 11 . . . EPS 12 . . . EPS 13 . . . EPS 14 . . . EPS 15 . . . EPS 16 . . . EPS 17 . . . EPS 18 . . . EPS 19 . . . EPS 20 . . . EPS 21 . . . EPS 22 . . . EPS 23 . . . EPS 24 . . . EPS 25 . . . EPS 26 . . . EPS 27 . . . EPS 28 . . . EPS 29 . . . EPS 30 . . . EPS 31 . . . EPS 32 . . . EPS 33 . . . EPS 34 . . . EPS 35 . . . EPS 36 . . . EPS 37 . . . EPS 38 . . . EPS 39 . . . EPS 40 . . . EPS 41 . . . EPS 42 . . . EPS 43 . . . EPS 44 . . . EPS 45 . . . EPS 46 . . . EPS 47 . . . EPS 48 . . . EPS 49 . . . EPS 50 . . . EPS 51 . . . EPS 52 . . . EPS 53 . . . EPS 54 . . . EPS 55 . . . EPS 56 . . . EPS 57 . . . EPS 58 . . . EPS 59 . . . EPS 60 . . . EPS ---- EQU CC Consumption equation LOWER LEVEL UPPER MARGINAL 1 . . . 1163.668 2 . . . 768.654 3 . . . 497.827 4 . . . 322.167 5 . . . 209.618 6 . . . 137.327 7 . . . 90.569 8 . . . 60.092 9 . . . 40.081 10 . . . 26.859 11 . . . 18.073 12 . . . 12.203 13 . . . 8.266 14 . . . 5.615 15 . . . 3.824 16 . . . 2.611 17 . . . 1.787 18 . . . 1.226 19 . . . 0.842 20 . . . 0.580 21 . . . 0.399 22 . . . 0.274 23 . . . 0.188 24 . . . 0.129 25 . . . 0.089 26 . . . 0.062 27 . . . 0.043 28 . . . 0.030 29 . . . 0.021 30 . . . 0.014 31 . . . 0.010 32 . . . 0.007 33 . . . 0.005 34 . . . 0.003 35 . . . 0.002 36 . . . 0.002 37 . . . 0.001 38 . . . 8.7899E-4 39 . . . 6.2568E-4 40 . . . 4.4627E-4 41 . . . 3.1895E-4 42 . . . 3.2498E-4 43 . . . 2.5014E-4 44 . . . 1.4479E-4 45 . . . 9.4170E-5 46 . . . 6.4600E-5 47 . . . 4.5516E-5 48 . . . 9.2770E-5 49 . . . 7.4305E-5 50 . . . 1.2364E-4 51 . . . 2.8007E-5 52 . . . 1.3403E-5 53 . . . 8.2050E-6 54 . . . 5.5435E-6 55 . . . 1.9112E-4 56 . . . 3.5076E-5 57 . . . 1.1816E-4 58 . . . 1.7789E-5 59 . . . 2.2480E-5 60 . . . 5.6835E-5 ---- EQU KK Capital balance equation LOWER LEVEL UPPER MARGINAL 1 -INF . . 119.850 2 -INF . . 75.625 3 -INF . . 47.685 4 -INF . . 30.356 5 -INF . . 19.549 6 -INF . . 12.726 7 -INF . . 8.361 8 -INF . . 5.536 9 -INF . . 3.689 10 -INF . . 2.472 11 -INF . . 1.664 12 -INF . . 1.125 13 -INF . . 0.763 14 -INF . . 0.519 15 -INF . . 0.355 16 -INF . . 0.243 17 -INF . . 0.167 18 -INF . . 0.115 19 -INF . . 0.079 20 -INF . . 0.054 21 -INF . . 0.037 22 -INF . . 0.026 23 -INF . . 0.018 24 -INF . . 0.012 25 -INF . . 0.008 26 -INF . . 0.006 27 -INF . . 0.004 28 -INF . . 0.003 29 -INF . . 0.002 30 -INF . . 0.001 31 -INF . . 9.6027E-4 32 -INF . . 6.7430E-4 33 -INF . . 4.7443E-4 34 -INF . . 3.3431E-4 35 -INF . . 2.3570E-4 36 -INF . . 1.6585E-4 37 -INF . . 1.1576E-4 38 -INF . . 7.8908E-5 39 -INF . . 5.0247E-5 40 -INF . . 2.5438E-5 41 -INF -1.022E+4 . . 42 -INF -6417.949 . . 43 -INF . . 2.2873E-5 44 -INF . . 1.3018E-5 45 -INF . . 7.6259E-6 46 -INF . . 3.7180E-6 47 -INF -3.192E+4 . . 48 -INF -1.339E+4 . . 49 -INF -1.835E+4 . . 50 -INF . . EPS 51 -INF . . 2.3588E-6 52 -INF . . 1.0895E-6 53 -INF . . 4.8040E-7 54 -INF -6.448E+4 . . 55 -INF -6064.012 . . 56 -INF -1.579E+4 . . 57 -INF -6268.768 . . 58 -INF -1.857E+4 . . 59 -INF -1.564E+4 . . 60 -INF -9074.146 . . ---- EQU KK0 Initial condition for capital LOWER LEVEL UPPER MARGINAL 1 137.000 137.000 137.000 183.833 ---- EQU KC Terminal condition for capital LOWER LEVEL UPPER MARGINAL 60 -INF -901.928 . . ---- EQU CPCE Per capita consumption definition LOWER LEVEL UPPER MARGINAL 1 . . . EPS 2 . . . EPS 3 . . . EPS 4 . . . EPS 5 . . . EPS 6 . . . EPS 7 . . . EPS 8 . . . EPS 9 . . . EPS 10 . . . EPS 11 . . . EPS 12 . . . EPS 13 . . . EPS 14 . . . EPS 15 . . . EPS 16 . . . EPS 17 . . . EPS 18 . . . EPS 19 . . . EPS 20 . . . EPS 21 . . . EPS 22 . . . EPS 23 . . . EPS 24 . . . EPS 25 . . . EPS 26 . . . EPS 27 . . . EPS 28 . . . EPS 29 . . . EPS 30 . . . EPS 31 . . . EPS 32 . . . EPS 33 . . . EPS 34 . . . EPS 35 . . . EPS 36 . . . EPS 37 . . . EPS 38 . . . EPS 39 . . . EPS 40 . . . EPS 41 . . . EPS 42 . . . EPS 43 . . . EPS 44 . . . EPS 45 . . . EPS 46 . . . EPS 47 . . . EPS 48 . . . EPS 49 . . . EPS 50 . . . EPS 51 . . . EPS 52 . . . EPS 53 . . . EPS 54 . . . EPS 55 . . . EPS 56 . . . EPS 57 . . . EPS 58 . . . EPS 59 . . . EPS 60 . . . EPS ---- EQU PCYE Per capita income definition LOWER LEVEL UPPER MARGINAL 1 . . . EPS 2 . . . EPS 3 . . . EPS 4 . . . EPS 5 . . . EPS 6 . . . EPS 7 . . . EPS 8 . . . EPS 9 . . . EPS 10 . . . EPS 11 . . . EPS 12 . . . EPS 13 . . . EPS 14 . . . EPS 15 . . . EPS 16 . . . EPS 17 . . . EPS 18 . . . EPS 19 . . . EPS 20 . . . EPS 21 . . . EPS 22 . . . EPS 23 . . . EPS 24 . . . EPS 25 . . . EPS 26 . . . EPS 27 . . . EPS 28 . . . EPS 29 . . . EPS 30 . . . EPS 31 . . . EPS 32 . . . EPS 33 . . . EPS 34 . . . EPS 35 . . . EPS 36 . . . EPS 37 . . . EPS 38 . . . EPS 39 . . . EPS 40 . . . EPS 41 . . . EPS 42 . . . EPS 43 . . . EPS 44 . . . EPS 45 . . . EPS 46 . . . EPS 47 . . . EPS 48 . . . EPS 49 . . . EPS 50 . . . EPS 51 . . . EPS 52 . . . EPS 53 . . . EPS 54 . . . EPS 55 . . . EPS 56 . . . EPS 57 . . . EPS 58 . . . EPS 59 . . . EPS 60 . . . EPS ---- EQU EE Emissions equation LOWER LEVEL UPPER MARGINAL 1 11.000 11.000 11.000 -3.215 2 9.900 9.900 9.900 -3.163 3 8.910 8.910 8.910 -2.598 4 8.019 8.019 8.019 -2.100 5 7.217 7.217 7.217 -1.679 6 6.495 6.495 6.495 -1.330 7 5.846 5.846 5.846 -1.048 8 5.261 5.261 5.261 -0.821 9 4.735 4.735 4.735 -0.641 10 4.262 4.262 4.262 -0.499 11 3.835 3.835 3.835 -0.388 12 3.452 3.452 3.452 -0.301 13 3.107 3.107 3.107 -0.233 14 2.796 2.796 2.796 -0.181 15 2.516 2.516 2.516 -0.140 16 2.265 2.265 2.265 -0.109 17 2.038 2.038 2.038 -0.085 18 1.834 1.834 1.834 -0.066 19 1.651 1.651 1.651 -0.052 20 1.486 1.486 1.486 -0.040 21 1.337 1.337 1.337 -0.031 22 1.204 1.204 1.204 -0.024 23 1.083 1.083 1.083 -0.019 24 0.975 0.975 0.975 -0.015 25 0.877 0.877 0.877 -0.011 26 0.790 0.790 0.790 -0.009 27 0.711 0.711 0.711 -0.007 28 0.640 0.640 0.640 -0.005 29 0.576 0.576 0.576 -0.004 30 0.518 0.518 0.518 -0.003 31 0.466 0.466 0.466 -0.002 32 0.420 0.420 0.420 -0.002 33 0.378 0.378 0.378 -0.001 34 0.340 0.340 0.340 -0.001 35 0.306 0.306 0.306 -8.871E-4 36 0.275 0.275 0.275 -6.855E-4 37 0.248 0.248 0.248 -5.294E-4 38 0.223 0.223 0.223 -4.097E-4 39 0.201 0.201 0.201 -3.191E-4 40 0.181 0.181 0.181 -2.518E-4 41 0.163 0.163 0.163 -2.020E-4 42 0.146 0.146 0.146 -1.602E-4 43 0.132 0.132 0.132 -1.214E-4 44 0.119 0.119 0.119 -8.962E-5 45 0.107 0.107 0.107 -6.657E-5 46 0.096 0.096 0.096 -4.884E-5 47 0.086 0.086 0.086 -3.374E-5 48 0.078 0.078 0.078 -1.774E-5 49 0.070 0.070 0.070 -2.268E-6 50 0.063 0.063 0.063 -1.681E-5 51 0.057 0.057 0.057 -9.944E-6 52 0.051 0.051 0.051 -6.943E-7 53 0.046 0.046 0.046 -8.318E-6 54 0.041 0.041 0.041 -2.159E-7 55 0.037 0.037 0.037 -5.037E-6 56 0.033 0.033 0.033 EPS 57 0.030 0.030 0.030 -2.518E-7 58 0.027 0.027 0.027 -4.151E-7 59 0.024 0.024 0.024 EPS 60 0.022 0.022 0.022 -4.764E-7 ---- EQU SEQ Savings rate equation LOWER LEVEL UPPER MARGINAL 1 . . . -1936.025 2 . . . 861.922 3 . . . 1783.442 4 . . . 1899.057 5 . . . 1704.735 6 . . . 1419.983 7 . . . 1136.677 8 . . . 888.849 9 . . . 684.995 10 . . . 523.047 11 . . . 397.280 12 . . . 300.018 13 . . . 225.500 14 . . . 168.761 15 . . . 125.763 16 . . . 93.321 17 . . . 68.966 18 . . . 50.871 19 . . . 37.750 20 . . . 28.799 21 . . . 22.718 22 . . . 17.073 23 . . . 12.776 24 . . . 9.544 25 . . . 7.128 26 . . . 5.325 27 . . . 3.982 28 . . . 2.980 29 . . . 2.233 30 . . . 1.675 31 . . . 1.258 32 . . . 0.948 33 . . . 0.719 34 . . . 0.554 35 . . . 0.444 36 . . . 0.385 37 . . . 0.389 38 . . . 0.483 39 . . . 0.728 40 . . . 1.247 41 . . . 2.276 42 . . . 2.133 43 . . . 0.149 44 . . . 0.124 45 . . . 0.175 46 . . . 0.300 47 . . . 0.550 48 . . . 0.729 49 . . . 0.606 50 . . . 2.945 51 . . . 0.051 52 . . . 0.039 53 . . . 0.062 54 . . . 0.114 55 . . . 0.621 56 . . . 0.247 57 . . . 0.421 58 . . . 0.152 59 . . . 0.158 60 . . . 0.234 ---- EQU RIEQ Interest rate equation LOWER LEVEL UPPER MARGINAL 1 -0.065 -0.065 -0.065 EPS 2 -0.065 -0.065 -0.065 EPS 3 -0.065 -0.065 -0.065 EPS 4 -0.065 -0.065 -0.065 EPS 5 -0.065 -0.065 -0.065 EPS 6 -0.065 -0.065 -0.065 EPS 7 -0.065 -0.065 -0.065 EPS 8 -0.065 -0.065 -0.065 EPS 9 -0.065 -0.065 -0.065 EPS 10 -0.065 -0.065 -0.065 EPS 11 -0.065 -0.065 -0.065 EPS 12 -0.065 -0.065 -0.065 EPS 13 -0.065 -0.065 -0.065 EPS 14 -0.065 -0.065 -0.065 EPS 15 -0.065 -0.065 -0.065 EPS 16 -0.065 -0.065 -0.065 EPS 17 -0.065 -0.065 -0.065 EPS 18 -0.065 -0.065 -0.065 EPS 19 -0.065 -0.065 -0.065 EPS 20 -0.065 -0.065 -0.065 EPS 21 -0.065 -0.065 -0.065 EPS 22 -0.065 -0.065 -0.065 EPS 23 -0.065 -0.065 -0.065 EPS 24 -0.065 -0.065 -0.065 EPS 25 -0.065 -0.065 -0.065 EPS 26 -0.065 -0.065 -0.065 EPS 27 -0.065 -0.065 -0.065 EPS 28 -0.065 -0.065 -0.065 EPS 29 -0.065 -0.065 -0.065 EPS 30 -0.065 -0.065 -0.065 EPS 31 -0.065 -0.065 -0.065 EPS 32 -0.065 -0.065 -0.065 EPS 33 -0.065 -0.065 -0.065 EPS 34 -0.065 -0.065 -0.065 EPS 35 -0.065 -0.065 -0.065 EPS 36 -0.065 -0.065 -0.065 EPS 37 -0.065 -0.065 -0.065 EPS 38 -0.065 -0.065 -0.065 EPS 39 -0.065 -0.065 -0.065 EPS 40 -0.065 -0.065 -0.065 EPS 41 -0.065 -0.065 -0.065 EPS 42 -0.065 -0.065 -0.065 EPS 43 -0.065 -0.065 -0.065 EPS 44 -0.065 -0.065 -0.065 EPS 45 -0.065 -0.065 -0.065 EPS 46 -0.065 -0.065 -0.065 EPS 47 -0.065 -0.065 -0.065 EPS 48 -0.065 -0.065 -0.065 EPS 49 -0.065 -0.065 -0.065 EPS 50 -0.065 -0.065 -0.065 EPS 51 -0.065 -0.065 -0.065 EPS 52 -0.065 -0.065 -0.065 EPS 53 -0.065 -0.065 -0.065 EPS 54 -0.065 -0.065 -0.065 EPS 55 -0.065 -0.065 -0.065 EPS 56 -0.065 -0.065 -0.065 EPS 57 -0.065 -0.065 -0.065 EPS 58 -0.065 -0.065 -0.065 EPS 59 -0.065 -0.065 -0.065 EPS 60 -0.065 -0.065 -0.065 EPS ---- EQU FORCE Radiative forcing equation LOWER LEVEL UPPER MARGINAL 1 -0.060 -0.060 -0.060 EPS 2 -0.024 -0.024 -0.024 -162.038 3 0.012 0.012 0.012 -147.992 4 0.048 0.048 0.048 -130.476 5 0.084 0.084 0.084 -112.270 6 0.120 0.120 0.120 -94.906 7 0.156 0.156 0.156 -79.147 8 0.192 0.192 0.192 -65.299 9 0.228 0.228 0.228 -53.398 10 0.264 0.264 0.264 -43.336 11 0.300 0.300 0.300 -34.924 12 0.300 0.300 0.300 -27.947 13 0.300 0.300 0.300 -22.234 14 0.300 0.300 0.300 -17.600 15 0.300 0.300 0.300 -13.864 16 0.300 0.300 0.300 -10.868 17 0.300 0.300 0.300 -8.474 18 0.300 0.300 0.300 -6.569 19 0.300 0.300 0.300 -5.057 20 0.300 0.300 0.300 -3.865 21 0.300 0.300 0.300 -2.933 22 0.300 0.300 0.300 -2.215 23 0.300 0.300 0.300 -1.671 24 0.300 0.300 0.300 -1.262 25 0.300 0.300 0.300 -0.954 26 0.300 0.300 0.300 -0.723 27 0.300 0.300 0.300 -0.549 28 0.300 0.300 0.300 -0.418 29 0.300 0.300 0.300 -0.319 30 0.300 0.300 0.300 -0.244 31 0.300 0.300 0.300 -0.186 32 0.300 0.300 0.300 -0.143 33 0.300 0.300 0.300 -0.109 34 0.300 0.300 0.300 -0.084 35 0.300 0.300 0.300 -0.064 36 0.300 0.300 0.300 -0.049 37 0.300 0.300 0.300 -0.038 38 0.300 0.300 0.300 -0.029 39 0.300 0.300 0.300 -0.022 40 0.300 0.300 0.300 -0.016 41 0.300 0.300 0.300 -0.013 42 0.300 0.300 0.300 -0.011 43 0.300 0.300 0.300 -0.009 44 0.300 0.300 0.300 -0.007 45 0.300 0.300 0.300 -0.005 46 0.300 0.300 0.300 -0.004 47 0.300 0.300 0.300 -0.003 48 0.300 0.300 0.300 -0.003 49 0.300 0.300 0.300 -0.003 50 0.300 0.300 0.300 -0.002 51 0.300 0.300 0.300 -0.003 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 -0.003 55 0.300 0.300 0.300 -0.003 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 -0.001 59 0.300 0.300 0.300 -7.233E-4 60 0.300 0.300 0.300 -0.001 ---- EQU MMAT0 Starting atmospheric concentration LOWER LEVEL UPPER MARGINAL 1 808.900 808.900 808.900 -2.792 ---- EQU MMAT Atmospheric concentration equation LOWER LEVEL UPPER MARGINAL 2 . . . -3.215 3 . . . -3.163 4 . . . -2.598 5 . . . -2.100 6 . . . -1.679 7 . . . -1.330 8 . . . -1.048 9 . . . -0.821 10 . . . -0.641 11 . . . -0.499 12 . . . -0.388 13 . . . -0.301 14 . . . -0.233 15 . . . -0.181 16 . . . -0.140 17 . . . -0.109 18 . . . -0.085 19 . . . -0.066 20 . . . -0.052 21 . . . -0.040 22 . . . -0.031 23 . . . -0.024 24 . . . -0.019 25 . . . -0.015 26 . . . -0.011 27 . . . -0.009 28 . . . -0.007 29 . . . -0.005 30 . . . -0.004 31 . . . -0.003 32 . . . -0.002 33 . . . -0.002 34 . . . -0.001 35 . . . -0.001 36 . . . -8.895E-4 37 . . . -6.878E-4 38 . . . -5.318E-4 39 . . . -4.120E-4 40 . . . -3.214E-4 41 . . . -2.542E-4 42 . . . -2.043E-4 43 . . . -1.626E-4 44 . . . -1.237E-4 45 . . . -9.194E-5 46 . . . -6.890E-5 47 . . . -5.116E-5 48 . . . -3.607E-5 49 . . . -2.007E-5 50 . . . -4.594E-6 51 . . . -1.913E-5 52 . . . -1.227E-5 53 . . . -3.020E-6 54 . . . -1.064E-5 55 . . . -2.541E-6 56 . . . -7.362E-6 57 . . . -2.325E-6 58 . . . -2.577E-6 59 . . . -2.740E-6 60 . . . -2.325E-6 ---- EQU MMATAVEQ Average concentrations equation LOWER LEVEL UPPER MARGINAL 1 . . . EPS 2 . . . -1.003 3 . . . -0.872 4 . . . -0.732 5 . . . -0.600 6 . . . -0.485 7 . . . -0.387 8 . . . -0.307 9 . . . -0.241 10 . . . -0.189 11 . . . -0.148 12 . . . -0.115 13 . . . -0.089 14 . . . -0.069 15 . . . -0.053 16 . . . -0.041 17 . . . -0.032 18 . . . -0.025 19 . . . -0.019 20 . . . -0.015 21 . . . -0.012 22 . . . -0.009 23 . . . -0.007 24 . . . -0.006 25 . . . -0.004 26 . . . -0.003 27 . . . -0.003 28 . . . -0.002 29 . . . -0.002 30 . . . -0.001 31 . . . -9.415E-4 32 . . . -7.313E-4 33 . . . -5.682E-4 34 . . . -4.416E-4 35 . . . -3.429E-4 36 . . . -2.659E-4 37 . . . -2.055E-4 38 . . . -1.580E-4 39 . . . -1.207E-4 40 . . . -9.199E-5 41 . . . -7.214E-5 42 . . . -6.408E-5 43 . . . -5.495E-5 44 . . . -4.020E-5 45 . . . -3.064E-5 46 . . . -2.423E-5 47 . . . -2.059E-5 48 . . . -2.040E-5 49 . . . -1.349E-5 50 . . . -8.493E-6 51 . . . -1.168E-5 52 . . . -9.575E-6 53 . . . -9.218E-6 54 . . . -9.448E-6 55 . . . -1.059E-5 56 . . . -4.727E-6 57 . . . -5.866E-6 58 . . . -2.371E-6 59 . . . -1.239E-6 60 . . . -3.411E-6 ---- EQU MMU0 Initial shallow ocean concentration LOWER LEVEL UPPER MARGINAL 1 1255.000 1255.000 1255.000 -1.148 ---- EQU MMU Shallow ocean concentration LOWER LEVEL UPPER MARGINAL 2 . . . -0.980 3 . . . -0.788 4 . . . -0.627 5 . . . -0.495 6 . . . -0.389 7 . . . -0.305 8 . . . -0.238 9 . . . -0.185 10 . . . -0.144 11 . . . -0.112 12 . . . -0.087 13 . . . -0.067 14 . . . -0.052 15 . . . -0.041 16 . . . -0.032 17 . . . -0.025 18 . . . -0.019 19 . . . -0.015 20 . . . -0.012 21 . . . -0.009 22 . . . -0.007 23 . . . -0.005 24 . . . -0.004 25 . . . -0.003 26 . . . -0.003 27 . . . -0.002 28 . . . -0.002 29 . . . -0.001 30 . . . -9.043E-4 31 . . . -6.991E-4 32 . . . -5.400E-4 33 . . . -4.165E-4 34 . . . -3.207E-4 35 . . . -2.465E-4 36 . . . -1.891E-4 37 . . . -1.448E-4 38 . . . -1.108E-4 39 . . . -8.447E-5 40 . . . -6.398E-5 41 . . . -4.764E-5 42 . . . -3.417E-5 43 . . . -2.314E-5 44 . . . -1.464E-5 45 . . . -8.309E-6 46 . . . -3.513E-6 47 . . . 8.3307E-8 48 . . . 2.5753E-6 49 . . . 3.6692E-6 50 . . . 3.1835E-6 51 . . . 4.2671E-6 52 . . . 4.7510E-6 53 . . . 4.2596E-6 54 . . . 4.5482E-6 55 . . . 3.9584E-6 56 . . . 3.8118E-6 57 . . . 3.0612E-6 58 . . . 2.2048E-6 59 . . . 1.2142E-6 60 . . . EPS ---- EQU MML0 Initial lower ocean concentration LOWER LEVEL UPPER MARGINAL 1 18365.000 18365.000 18365.000 -0.014 ---- EQU MML Lower ocean concentration LOWER LEVEL UPPER MARGINAL 2 . . . -0.011 3 . . . -0.009 4 . . . -0.007 5 . . . -0.005 6 . . . -0.004 7 . . . -0.003 8 . . . -0.003 9 . . . -0.002 10 . . . -0.002 11 . . . -0.001 12 . . . -9.075E-4 13 . . . -6.998E-4 14 . . . -5.384E-4 15 . . . -4.129E-4 16 . . . -3.152E-4 17 . . . -2.392E-4 18 . . . -1.799E-4 19 . . . -1.337E-4 20 . . . -9.768E-5 21 . . . -6.971E-5 22 . . . -4.801E-5 23 . . . -3.118E-5 24 . . . -1.813E-5 25 . . . -8.014E-6 26 . . . -1.618E-7 27 . . . 5.9372E-6 28 . . . 1.0679E-5 29 . . . 1.4368E-5 30 . . . 1.7242E-5 31 . . . 1.9483E-5 32 . . . 2.1233E-5 33 . . . 2.2602E-5 34 . . . 2.3676E-5 35 . . . 2.4521E-5 36 . . . 2.5189E-5 37 . . . 2.5721E-5 38 . . . 2.6148E-5 39 . . . 2.6494E-5 40 . . . 2.6777E-5 41 . . . 2.7010E-5 42 . . . 2.7202E-5 43 . . . 2.7359E-5 44 . . . 2.7490E-5 45 . . . 2.7602E-5 46 . . . 2.7700E-5 47 . . . 2.7786E-5 48 . . . 2.7865E-5 49 . . . 2.7941E-5 50 . . . 2.8018E-5 51 . . . 2.8092E-5 52 . . . 2.8165E-5 53 . . . 2.8240E-5 54 . . . 2.8314E-5 55 . . . 2.8391E-5 56 . . . 2.8467E-5 57 . . . 2.8547E-5 58 . . . 2.8629E-5 59 . . . 2.8715E-5 60 . . . 2.8805E-5 ---- EQU TATMEQ Temperature-climate equation for atmosphere LOWER LEVEL UPPER MARGINAL 2 . . . -736.538 3 . . . -672.693 4 . . . -593.071 5 . . . -510.319 6 . . . -431.392 7 . . . -359.760 8 . . . -296.812 9 . . . -242.720 10 . . . -196.980 11 . . . -158.746 12 . . . -127.030 13 . . . -101.064 14 . . . -79.998 15 . . . -63.018 16 . . . -49.399 17 . . . -38.519 18 . . . -29.858 19 . . . -22.988 20 . . . -17.568 21 . . . -13.330 22 . . . -10.067 23 . . . -7.596 24 . . . -5.736 25 . . . -4.338 26 . . . -3.288 27 . . . -2.497 28 . . . -1.901 29 . . . -1.449 30 . . . -1.107 31 . . . -0.847 32 . . . -0.648 33 . . . -0.497 34 . . . -0.381 35 . . . -0.292 36 . . . -0.224 37 . . . -0.171 38 . . . -0.130 39 . . . -0.098 40 . . . -0.074 41 . . . -0.057 42 . . . -0.050 43 . . . -0.043 44 . . . -0.031 45 . . . -0.023 46 . . . -0.018 47 . . . -0.015 48 . . . -0.015 49 . . . -0.012 50 . . . -0.009 51 . . . -0.012 52 . . . -0.010 53 . . . -0.010 54 . . . -0.011 55 . . . -0.015 56 . . . -0.008 57 . . . -0.012 58 . . . -0.005 59 . . . -0.003 60 . . . -0.005 ---- EQU TATM0EQ Initial condition for atmospheric temperature LOWER LEVEL UPPER MARGINAL 1 0.731 0.731 0.731 -763.341 ---- EQU TOCEANEQ Temperature-climate equation for lower oceans LOWER LEVEL UPPER MARGINAL 2 . . . -219.446 3 . . . -184.262 4 . . . -152.757 5 . . . -125.343 6 . . . -101.969 7 . . . -82.342 8 . . . -66.055 9 . . . -52.669 10 . . . -41.757 11 . . . -32.926 12 . . . -25.833 13 . . . -20.172 14 . . . -15.676 15 . . . -12.123 16 . . . -9.329 17 . . . -7.144 18 . . . -5.445 19 . . . -4.135 20 . . . -3.132 21 . . . -2.371 22 . . . -1.796 23 . . . -1.363 24 . . . -1.036 25 . . . -0.789 26 . . . -0.602 27 . . . -0.460 28 . . . -0.353 29 . . . -0.270 30 . . . -0.208 31 . . . -0.160 32 . . . -0.123 33 . . . -0.095 34 . . . -0.074 35 . . . -0.057 36 . . . -0.045 37 . . . -0.035 38 . . . -0.028 39 . . . -0.023 40 . . . -0.019 41 . . . -0.016 42 . . . -0.013 43 . . . -0.011 44 . . . -0.009 45 . . . -0.008 46 . . . -0.007 47 . . . -0.007 48 . . . -0.006 49 . . . -0.005 50 . . . -0.005 51 . . . -0.004 52 . . . -0.004 53 . . . -0.003 54 . . . -0.003 55 . . . -0.002 56 . . . -0.002 57 . . . -8.571E-4 58 . . . -5.316E-4 59 . . . -3.311E-4 60 . . . EPS ---- EQU TOCEAN0EQ Initial condition for lower ocean temperature LOWER LEVEL UPPER MARGINAL 1 0.007 0.007 0.007 -257.085 ---- EQU PERIODUEQ Instantaneous utility function equation LOWER LEVEL UPPER MARGINAL 1 1.000 1.000 1.000 335.773 2 1.000 1.000 1.000 316.686 3 1.000 1.000 1.000 289.492 4 1.000 1.000 1.000 259.533 5 1.000 1.000 1.000 229.757 6 1.000 1.000 1.000 201.694 7 1.000 1.000 1.000 176.051 8 1.000 1.000 1.000 153.069 9 1.000 1.000 1.000 132.727 10 1.000 1.000 1.000 114.872 11 1.000 1.000 1.000 99.289 12 1.000 1.000 1.000 85.740 13 1.000 1.000 1.000 73.993 14 1.000 1.000 1.000 63.826 15 1.000 1.000 1.000 55.038 16 1.000 1.000 1.000 47.450 17 1.000 1.000 1.000 40.902 18 1.000 1.000 1.000 35.253 19 1.000 1.000 1.000 30.382 20 1.000 1.000 1.000 26.183 21 1.000 1.000 1.000 22.563 22 1.000 1.000 1.000 19.443 23 1.000 1.000 1.000 16.754 24 1.000 1.000 1.000 14.437 25 1.000 1.000 1.000 12.440 26 1.000 1.000 1.000 10.719 27 1.000 1.000 1.000 9.237 28 1.000 1.000 1.000 7.959 29 1.000 1.000 1.000 6.858 30 1.000 1.000 1.000 5.909 31 1.000 1.000 1.000 5.092 32 1.000 1.000 1.000 4.388 33 1.000 1.000 1.000 3.781 34 1.000 1.000 1.000 3.258 35 1.000 1.000 1.000 2.807 36 1.000 1.000 1.000 2.419 37 1.000 1.000 1.000 2.084 38 1.000 1.000 1.000 1.796 39 1.000 1.000 1.000 1.547 40 1.000 1.000 1.000 1.333 41 1.000 1.000 1.000 1.149 42 1.000 1.000 1.000 0.990 43 1.000 1.000 1.000 0.853 44 1.000 1.000 1.000 0.735 45 1.000 1.000 1.000 0.633 46 1.000 1.000 1.000 0.546 47 1.000 1.000 1.000 0.470 48 1.000 1.000 1.000 0.405 49 1.000 1.000 1.000 0.349 50 1.000 1.000 1.000 0.301 51 1.000 1.000 1.000 0.259 52 1.000 1.000 1.000 0.223 53 1.000 1.000 1.000 0.192 54 1.000 1.000 1.000 0.166 55 1.000 1.000 1.000 0.143 56 1.000 1.000 1.000 0.123 57 1.000 1.000 1.000 0.106 58 1.000 1.000 1.000 0.091 59 1.000 1.000 1.000 0.079 60 1.000 1.000 1.000 0.068 ---- VAR MIU Emission control rate GHGs LOWER LEVEL UPPER MARGINAL 1 0.005 0.005 0.005 231.411 2 . 0.158 1.000 . 3 . 0.184 1.000 . 4 . 0.211 1.000 . 5 . 0.241 1.000 . 6 . 0.271 1.000 . 7 . 0.303 1.000 . 8 . 0.337 1.000 . 9 . 0.373 1.000 . 10 . 0.410 1.000 . 11 . 0.450 1.000 . 12 . 0.491 1.000 . 13 . 0.536 1.000 . 14 . 0.583 1.000 . 15 . 0.633 1.000 . 16 . 0.687 1.000 . 17 . 0.744 1.000 . 18 . 0.806 1.000 . 19 . 0.872 1.000 . 20 . 0.943 1.000 . 21 . 1.000 1.000 0.433 22 . 1.000 1.000 1.789 23 . 1.000 1.000 2.504 24 . 1.000 1.000 2.811 25 . 1.000 1.000 2.863 26 . 1.000 1.000 2.763 27 . 1.000 1.000 2.577 28 . 1.000 1.000 2.348 29 . 1.000 1.000 2.104 30 . 1.000 1.000 1.862 31 . 1.000 1.000 1.631 32 . 1.000 1.000 1.416 33 . 1.000 1.000 1.222 34 . 1.000 1.000 1.047 35 . 1.000 1.000 0.893 36 . 1.000 1.000 0.757 37 . 1.000 1.000 0.641 38 . 1.000 1.000 0.542 39 . 1.000 1.000 0.462 40 . 1.000 1.000 0.400 41 . 1.000 1.000 0.354 42 . 1.000 1.000 0.246 43 . 1.000 1.000 0.187 44 . 1.000 1.000 0.171 45 . 1.000 1.000 0.146 46 . 1.000 1.000 0.119 47 . 1.000 1.000 0.090 48 . 1.000 1.000 0.024 49 . 0.769 1.000 . 50 . 1.000 1.000 0.021 51 . 1.000 1.000 0.021 52 . 0.930 1.000 . 53 . 1.000 1.000 0.031 54 . 0.897 1.000 . 55 . 0.726 1.000 . 56 . 0.599 1.000 . 57 . 0.182 1.000 . 58 . 0.694 1.000 . 59 . 0.329 1.000 . 60 . 0.395 1.000 . ---- VAR FORC Radiative forcing in watts per m2 LOWER LEVEL UPPER MARGINAL 1 -INF 1.791 +INF . 2 -INF 2.142 +INF . 3 -INF 2.453 +INF . 4 -INF 2.758 +INF . 5 -INF 3.056 +INF . 6 -INF 3.342 +INF . 7 -INF 3.615 +INF . 8 -INF 3.873 +INF . 9 -INF 4.118 +INF . 10 -INF 4.347 +INF . 11 -INF 4.560 +INF . 12 -INF 4.720 +INF . 13 -INF 4.861 +INF . 14 -INF 4.980 +INF . 15 -INF 5.076 +INF . 16 -INF 5.142 +INF . 17 -INF 5.174 +INF . 18 -INF 5.164 +INF . 19 -INF 5.103 +INF . 20 -INF 4.977 +INF . 21 -INF 4.785 +INF . 22 -INF 4.581 +INF . 23 -INF 4.411 +INF . 24 -INF 4.266 +INF . 25 -INF 4.140 +INF . 26 -INF 4.027 +INF . 27 -INF 3.925 +INF . 28 -INF 3.831 +INF . 29 -INF 3.742 +INF . 30 -INF 3.658 +INF . 31 -INF 3.578 +INF . 32 -INF 3.501 +INF . 33 -INF 3.427 +INF . 34 -INF 3.354 +INF . 35 -INF 3.284 +INF . 36 -INF 3.216 +INF . 37 -INF 3.149 +INF . 38 -INF 3.084 +INF . 39 -INF 3.021 +INF . 40 -INF 2.959 +INF . 41 -INF 2.898 +INF . 42 -INF 2.839 +INF . 43 -INF 2.782 +INF . 44 -INF 2.726 +INF . 45 -INF 2.671 +INF . 46 -INF 2.617 +INF . 47 -INF 2.565 +INF . 48 -INF 2.514 +INF . 49 -INF 3.656 +INF . 50 -INF 4.428 +INF . 51 -INF 4.083 +INF . 52 -INF 4.355 +INF . 53 -INF 4.580 +INF . 54 -INF 5.198 +INF . 55 -INF 5.985 +INF . 56 -INF 6.772 +INF . 57 -INF 7.874 +INF . 58 -INF 8.608 +INF . 59 -INF 9.511 +INF . 60 -INF 6.275 +INF . ---- VAR TATM Temperature of atmosphere in degrees C LOWER LEVEL UPPER MARGINAL 1 . 0.731 20.000 . 2 . 0.951 20.000 . 3 . 1.165 20.000 . 4 . 1.376 20.000 . 5 . 1.584 20.000 . 6 . 1.786 20.000 . 7 . 1.984 20.000 . 8 . 2.175 20.000 . 9 . 2.360 20.000 . 10 . 2.537 20.000 . 11 . 2.706 20.000 . 12 . 2.858 20.000 . 13 . 2.996 20.000 . 14 . 3.119 20.000 . 15 . 3.227 20.000 . 16 . 3.320 20.000 . 17 . 3.395 20.000 . 18 . 3.448 20.000 . 19 . 3.477 20.000 . 20 . 3.475 20.000 . 21 . 3.437 20.000 . 22 . 3.374 20.000 . 23 . 3.301 20.000 . 24 . 3.226 20.000 . 25 . 3.154 20.000 . 26 . 3.086 20.000 . 27 . 3.023 20.000 . 28 . 2.964 20.000 . 29 . 2.909 20.000 . 30 . 2.857 20.000 . 31 . 2.808 20.000 . 32 . 2.761 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 . 2.234 20.000 . 46 . 2.197 20.000 . 47 . 2.161 20.000 . 48 . 2.126 20.000 . 49 . 2.353 20.000 . 50 . 2.672 20.000 . 51 . 2.804 20.000 . 52 . 2.952 20.000 . 53 . 3.100 20.000 . 54 . 3.334 20.000 . 55 . 3.664 20.000 . 56 . 4.055 20.000 . 57 . 4.558 20.000 . 58 . 5.054 20.000 . 59 . 5.585 20.000 . 60 . 5.228 20.000 . ---- VAR TOCEAN Temperatureof lower oceans degrees C LOWER LEVEL UPPER MARGINAL 1 -1.000 0.007 20.000 . 2 -1.000 0.043 20.000 . 3 -1.000 0.088 20.000 . 4 -1.000 0.142 20.000 . 5 -1.000 0.204 20.000 . 6 -1.000 0.273 20.000 . 7 -1.000 0.349 20.000 . 8 -1.000 0.430 20.000 . 9 -1.000 0.518 20.000 . 10 -1.000 0.610 20.000 . 11 -1.000 0.706 20.000 . 12 -1.000 0.806 20.000 . 13 -1.000 0.909 20.000 . 14 -1.000 1.013 20.000 . 15 -1.000 1.118 20.000 . 16 -1.000 1.224 20.000 . 17 -1.000 1.329 20.000 . 18 -1.000 1.432 20.000 . 19 -1.000 1.533 20.000 . 20 -1.000 1.630 20.000 . 21 -1.000 1.722 20.000 . 22 -1.000 1.808 20.000 . 23 -1.000 1.886 20.000 . 24 -1.000 1.957 20.000 . 25 -1.000 2.020 20.000 . 26 -1.000 2.077 20.000 . 27 -1.000 2.128 20.000 . 28 -1.000 2.172 20.000 . 29 -1.000 2.212 20.000 . 30 -1.000 2.247 20.000 . 31 -1.000 2.277 20.000 . 32 -1.000 2.304 20.000 . 33 -1.000 2.327 20.000 . 34 -1.000 2.346 20.000 . 35 -1.000 2.362 20.000 . 36 -1.000 2.376 20.000 . 37 -1.000 2.386 20.000 . 38 -1.000 2.394 20.000 . 39 -1.000 2.399 20.000 . 40 -1.000 2.403 20.000 . 41 -1.000 2.404 20.000 . 42 -1.000 2.403 20.000 . 43 -1.000 2.400 20.000 . 44 -1.000 2.395 20.000 . 45 -1.000 2.389 20.000 . 46 -1.000 2.381 20.000 . 47 -1.000 2.372 20.000 . 48 -1.000 2.361 20.000 . 49 -1.000 2.350 20.000 . 50 -1.000 2.350 20.000 . 51 -1.000 2.366 20.000 . 52 -1.000 2.388 20.000 . 53 -1.000 2.416 20.000 . 54 -1.000 2.450 20.000 . 55 -1.000 2.494 20.000 . 56 -1.000 2.553 20.000 . 57 -1.000 2.628 20.000 . 58 -1.000 2.725 20.000 . 59 -1.000 2.841 20.000 . 60 -1.000 2.978 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 10.000 907.614 +INF 5.1897E-6 4 10.000 954.046 +INF 1.4169E-7 5 10.000 1001.582 +INF 1.3171E-5 6 10.000 1049.507 +INF 1.6075E-5 7 10.000 1097.238 +INF 2.4431E-6 8 10.000 1144.301 +INF . 9 10.000 1190.269 +INF 6.7739E-6 10 10.000 1234.725 +INF 6.2444E-6 11 10.000 1277.208 +INF 8.6164E-6 12 10.000 1317.179 +INF 2.5890E-6 13 10.000 1353.968 +INF 1.9818E-6 14 10.000 1386.729 +INF 3.5563E-5 15 10.000 1414.430 +INF 8.7976E-6 16 10.000 1435.770 +INF -3.662E-5 17 10.000 1449.124 +INF 1.4272E-6 18 10.000 1452.606 +INF 3.8836E-6 19 10.000 1443.919 +INF 2.9659E-5 20 10.000 1420.353 +INF . 21 10.000 1378.958 +INF . 22 10.000 1323.964 +INF . 23 10.000 1280.208 +INF . 24 10.000 1244.437 +INF . 25 10.000 1214.386 +INF . 26 10.000 1188.479 +INF . 27 10.000 1165.614 +INF . 28 10.000 1145.022 +INF . 29 10.000 1126.165 +INF . 30 10.000 1108.664 +INF . 31 10.000 1092.249 +INF . 32 10.000 1076.732 +INF . 33 10.000 1061.974 +INF . 34 10.000 1047.876 +INF . 35 10.000 1034.365 +INF . 36 10.000 1021.386 +INF . 37 10.000 1008.896 +INF . 38 10.000 996.863 +INF . 39 10.000 985.259 +INF . 40 10.000 974.062 +INF . 41 10.000 963.252 +INF . 42 10.000 952.815 +INF . 43 10.000 942.733 +INF . 44 10.000 932.994 +INF . 45 10.000 923.585 +INF . 46 10.000 914.494 +INF . 47 10.000 905.710 +INF . 48 10.000 897.222 +INF . 49 10.000 889.021 +INF . 50 10.000 1310.910 +INF -2.110E-5 51 10.000 1221.894 +INF . 52 10.000 1156.445 +INF . 53 10.000 1342.958 +INF -1.415E-5 54 10.000 1260.986 +INF . 55 10.000 1653.673 +INF -1.273E-5 56 10.000 1710.659 +INF -1.604E-6 57 10.000 2173.335 +INF -4.643E-6 58 10.000 2575.180 +INF -3.533E-6 59 10.000 2853.408 +INF -9.497E-7 60 10.000 3547.583 +INF . ---- VAR MATAV Average concentrations LOWER LEVEL UPPER MARGINAL 1 . 836.004 +INF . 2 . 885.361 +INF . 3 . 930.830 +INF . 4 . 977.814 +INF . 5 . 1025.544 +INF . 6 . 1073.372 +INF . 7 . 1120.769 +INF . 8 . 1167.285 +INF . 9 . 1212.497 +INF . 10 . 1255.966 +INF . 11 . 1297.193 +INF . 12 . 1335.573 +INF . 13 . 1370.349 +INF . 14 . 1400.580 +INF . 15 . 1425.100 +INF . 16 . 1442.447 +INF . 17 . 1450.865 +INF . 18 . 1448.263 +INF . 19 . 1432.136 +INF . 20 . 1399.655 +INF . 21 . 1351.461 +INF . 22 . 1302.086 +INF . 23 . 1262.322 +INF . 24 . 1229.412 +INF . 25 . 1201.432 +INF . 26 . 1177.046 +INF . 27 . 1155.318 +INF . 28 . 1135.594 +INF . 29 . 1117.415 +INF . 30 . 1100.457 +INF . 31 . 1084.491 +INF . 32 . 1069.353 +INF . 33 . 1054.925 +INF . 34 . 1041.120 +INF . 35 . 1027.875 +INF . 36 . 1015.141 +INF . 37 . 1002.879 +INF . 38 . 991.061 +INF . 39 . 979.660 +INF . 40 . 968.657 +INF . 41 . 958.034 +INF . 42 . 947.774 +INF . 43 . 937.863 +INF . 44 . 928.289 +INF . 45 . 919.039 +INF . 46 . 910.102 +INF . 47 . 901.466 +INF . 48 . 893.122 +INF . 49 . 1099.965 +INF . 50 . 1266.402 +INF . 51 . 1189.170 +INF . 52 . 1249.702 +INF . 53 . 1301.972 +INF . 54 . 1457.330 +INF . 55 . 1682.166 +INF . 56 . 1941.997 +INF . 57 . 2374.257 +INF . 58 . 2714.294 +INF . 59 . 3200.496 +INF . 60 . 1773.791 +INF . ---- VAR MU Carbon concentration in shallow oceans Gtc LOWER LEVEL UPPER MARGINAL 1 100.000 1255.000 +INF . 2 100.000 1280.635 +INF . 3 100.000 1312.775 +INF . 4 100.000 1348.628 +INF . 5 100.000 1388.018 +INF . 6 100.000 1430.639 +INF . 7 100.000 1476.095 +INF . 8 100.000 1523.938 +INF . 9 100.000 1573.698 +INF . 10 100.000 1624.891 +INF . 11 100.000 1677.030 +INF . 12 100.000 1729.608 +INF . 13 100.000 1782.093 +INF . 14 100.000 1833.905 +INF . 15 100.000 1884.388 +INF . 16 100.000 1932.788 +INF . 17 100.000 1978.216 +INF . 18 100.000 2019.603 +INF . 19 100.000 2055.683 +INF . 20 100.000 2084.940 +INF . 21 100.000 2105.568 +INF . 22 100.000 2115.465 +INF . 23 100.000 2113.640 +INF . 24 100.000 2103.947 +INF . 25 100.000 2089.055 +INF . 26 100.000 2070.811 +INF . 27 100.000 2050.489 +INF . 28 100.000 2028.967 +INF . 29 100.000 2006.850 +INF . 30 100.000 1984.549 +INF . 31 100.000 1962.344 +INF . 32 100.000 1940.423 +INF . 33 100.000 1918.910 +INF . 34 100.000 1897.885 +INF . 35 100.000 1877.397 +INF . 36 100.000 1857.475 +INF . 37 100.000 1838.132 +INF . 38 100.000 1819.373 +INF . 39 100.000 1801.195 +INF . 40 100.000 1783.589 +INF . 41 100.000 1766.547 +INF . 42 100.000 1750.054 +INF . 43 100.000 1734.099 +INF . 44 100.000 1718.665 +INF . 45 100.000 1703.739 +INF . 46 100.000 1689.306 +INF . 47 100.000 1675.350 +INF . 48 100.000 1661.857 +INF . 49 100.000 1648.813 +INF . 50 100.000 1636.203 +INF . 51 100.000 1705.372 +INF . 52 100.000 1747.571 +INF . 53 100.000 1771.242 +INF . 54 100.000 1826.812 +INF . 55 100.000 1858.767 +INF . 56 100.000 1960.440 +INF . 57 100.000 2058.028 +INF . 58 100.000 2228.939 +INF . 59 100.000 2450.881 +INF . 60 100.000 2692.967 +INF . ---- VAR ML Carbon concentration in lower oceans GtC LOWER LEVEL UPPER MARGINAL 1 1000.000 18365.000 +INF . 2 1000.000 18370.477 +INF . 3 1000.000 18377.219 +INF . 4 1000.000 18385.547 +INF . 5 1000.000 18395.642 +INF . 6 1000.000 18407.675 +INF . 7 1000.000 18421.801 +INF . 8 1000.000 18438.156 +INF . 9 1000.000 18456.852 +INF . 10 1000.000 18477.978 +INF . 11 1000.000 18501.597 +INF . 12 1000.000 18527.750 +INF . 13 1000.000 18556.450 +INF . 14 1000.000 18587.685 +INF . 15 1000.000 18621.413 +INF . 16 1000.000 18657.560 +INF . 17 1000.000 18696.015 +INF . 18 1000.000 18736.621 +INF . 19 1000.000 18779.169 +INF . 20 1000.000 18823.389 +INF . 21 1000.000 18868.934 +INF . 22 1000.000 18915.368 +INF . 23 1000.000 18962.152 +INF . 24 1000.000 19008.699 +INF . 25 1000.000 19054.617 +INF . 26 1000.000 19099.646 +INF . 27 1000.000 19143.623 +INF . 28 1000.000 19186.446 +INF . 29 1000.000 19228.060 +INF . 30 1000.000 19268.439 +INF . 31 1000.000 19307.576 +INF . 32 1000.000 19345.481 +INF . 33 1000.000 19382.172 +INF . 34 1000.000 19417.673 +INF . 35 1000.000 19452.011 +INF . 36 1000.000 19485.219 +INF . 37 1000.000 19517.326 +INF . 38 1000.000 19548.366 +INF . 39 1000.000 19578.372 +INF . 40 1000.000 19607.375 +INF . 41 1000.000 19635.407 +INF . 42 1000.000 19662.500 +INF . 43 1000.000 19688.684 +INF . 44 1000.000 19713.988 +INF . 45 1000.000 19738.442 +INF . 46 1000.000 19762.073 +INF . 47 1000.000 19784.909 +INF . 48 1000.000 19806.975 +INF . 49 1000.000 19828.299 +INF . 50 1000.000 19848.903 +INF . 51 1000.000 19868.813 +INF . 52 1000.000 19892.119 +INF . 53 1000.000 19917.463 +INF . 54 1000.000 19943.911 +INF . 55 1000.000 19973.055 +INF . 56 1000.000 20003.705 +INF . 57 1000.000 20039.344 +INF . 58 1000.000 20079.752 +INF . 59 1000.000 20128.578 +INF . 60 1000.000 20188.350 +INF -2.880E-5 ---- VAR E CO2-equivalent emissions GtC LOWER LEVEL UPPER MARGINAL 1 . 85.320 +INF . 2 . 83.388 +INF . 3 . 90.613 +INF . 4 . 97.021 +INF . 5 . 102.578 +INF . 6 . 107.314 +INF . 7 . 111.260 +INF . 8 . 114.424 +INF -1.545E-7 9 . 116.775 +INF . 10 . 118.240 +INF . 11 . 118.702 +INF . 12 . 117.974 +INF . 13 . 115.809 +INF . 14 . 111.912 +INF . 15 . 105.888 +INF . 16 . 97.235 +INF . 17 . 85.475 +INF . 18 . 69.941 +INF . 19 . 49.911 +INF 2.8615E-5 20 . 24.777 +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 . 0.096 +INF . 47 . 0.086 +INF . 48 . 0.078 +INF . 49 . 429.883 +INF . 50 . 0.063 +INF . 51 . 0.057 +INF . 52 . 235.527 +INF . 53 . 0.046 +INF . 54 . 453.786 +INF . 55 . 189.310 +INF . 56 . 595.903 +INF . 57 . 613.163 +INF . 58 . 548.997 +INF . 59 . 996.033 +INF . 60 . 512.245 +INF 4.7640E-7 ---- VAR C Consumption trillions US dollars LOWER LEVEL UPPER MARGINAL 1 20.000 43.354 +INF . 2 20.000 54.199 +INF . 3 20.000 66.322 +INF . 4 20.000 79.624 +INF . 5 20.000 94.141 +INF . 6 20.000 109.993 +INF . 7 20.000 127.359 +INF . 8 20.000 146.451 +INF . 9 20.000 167.506 +INF . 10 20.000 190.785 +INF . 11 20.000 216.565 +INF . 12 20.000 245.179 +INF . 13 20.000 276.959 +INF . 14 20.000 312.266 +INF . 15 20.000 351.489 +INF . 16 20.000 395.053 +INF . 17 20.000 443.430 +INF . 18 20.000 497.143 +INF . 19 20.000 556.781 +INF . 20 20.000 623.027 +INF . 21 20.000 697.088 +INF . 22 20.000 781.237 +INF . 23 20.000 875.183 +INF . 24 20.000 979.592 +INF . 25 20.000 1095.260 +INF . 26 20.000 1223.108 +INF . 27 20.000 1364.169 +INF . 28 20.000 1519.584 +INF . 29 20.000 1690.603 +INF . 30 20.000 1878.577 +INF . 31 20.000 2084.967 +INF . 32 20.000 2311.340 +INF . 33 20.000 2559.375 +INF . 34 20.000 2830.869 +INF . 35 20.000 3127.737 +INF . 36 20.000 3452.022 +INF . 37 20.000 3805.901 +INF . 38 20.000 4191.686 +INF . 39 20.000 4611.835 +INF . 40 20.000 5068.956 +INF . 41 20.000 5565.815 +INF . 42 20.000 5118.321 +INF . 43 20.000 5415.504 +INF . 44 20.000 6607.392 +INF . 45 20.000 7605.231 +INF . 46 20.000 8523.544 +INF . 47 20.000 9425.994 +INF . 48 20.000 6128.762 +INF . 49 20.000 6356.782 +INF . 50 20.000 4574.357 +INF . 51 20.000 8921.873 +INF . 52 20.000 11971.509 +INF . 53 20.000 14203.227 +INF . 54 20.000 16040.038 +INF . 55 20.000 2535.784 +INF . 56 20.000 5494.553 +INF . 57 20.000 2778.882 +INF . 58 20.000 6648.076 +INF . 59 20.000 5489.672 +INF . 60 20.000 3204.834 +INF . ---- VAR K Capital stock trillions US dollars LOWER LEVEL UPPER MARGINAL 1 100.000 137.000 +INF . 2 100.000 170.053 +INF . 3 100.000 212.167 +INF . 4 100.000 261.043 +INF . 5 100.000 315.604 +INF . 6 100.000 375.572 +INF . 7 100.000 441.194 +INF . 8 100.000 513.056 +INF . 9 100.000 591.961 +INF . 10 100.000 678.860 +INF . 11 100.000 774.818 +INF . 12 100.000 880.990 +INF . 13 100.000 998.714 +INF . 14 100.000 1129.399 +INF . 15 100.000 1274.550 +INF . 16 100.000 1435.790 +INF . 17 100.000 1614.884 +INF . 18 100.000 1813.778 +INF . 19 100.000 2034.626 +INF . 20 100.000 2279.841 +INF . 21 100.000 2552.189 +INF . 22 100.000 2856.042 +INF . 23 100.000 3199.331 +INF . 24 100.000 3584.005 +INF . 25 100.000 4012.619 +INF . 26 100.000 4488.313 +INF . 27 100.000 5014.774 +INF . 28 100.000 5596.202 +INF . 29 100.000 6237.285 +INF . 30 100.000 6943.176 +INF . 31 100.000 7719.490 +INF . 32 100.000 8572.299 +INF . 33 100.000 9508.143 +INF . 34 100.000 10534.039 +INF . 35 100.000 11657.496 +INF . 36 100.000 12886.541 +INF . 37 100.000 14229.735 +INF . 38 100.000 15696.197 +INF . 39 100.000 17295.633 +INF . 40 100.000 19038.357 +INF . 41 100.000 20935.324 +INF . 42 100.000 12776.699 +INF 3.9056E-5 43 100.000 12473.303 +INF 4.8959E-5 44 100.000 19623.674 +INF . 45 100.000 25478.588 +INF . 46 100.000 30334.488 +INF . 47 100.000 34617.750 +INF . 48 100.000 6740.875 +INF 2.5304E-5 49 100.000 6251.286 +INF 2.2621E-5 50 100.000 1757.637 +INF . 51 100.000 13514.886 +INF 7.6867E-6 52 100.000 29876.608 +INF . 53 100.000 44183.128 +INF . 54 100.000 55466.091 +INF . 55 100.000 100.000 +INF 0.001 56 100.000 1123.071 +INF . 57 100.000 100.000 +INF 9.8460E-4 58 100.000 1603.976 +INF . 59 100.000 741.567 +INF . 60 100.000 100.000 +INF 5.4571E-4 ---- VAR CPC Per capita consumption thousands US dollars LOWER LEVEL UPPER MARGINAL 1 -INF 6.656 +INF . 2 -INF 7.602 +INF . 3 -INF 8.768 +INF . 4 -INF 10.117 +INF . 5 -INF 11.643 +INF . 6 -INF 13.353 +INF . 7 -INF 15.263 +INF . 8 -INF 17.393 +INF . 9 -INF 19.769 +INF . 10 -INF 22.417 +INF . 11 -INF 25.368 +INF . 12 -INF 28.657 +INF . 13 -INF 32.322 +INF . 14 -INF 36.403 +INF . 15 -INF 40.945 +INF . 16 -INF 45.995 +INF . 17 -INF 51.608 +INF . 18 -INF 57.844 +INF . 19 -INF 64.771 +INF . 20 -INF 72.468 +INF . 21 -INF 81.075 +INF . 22 -INF 90.856 +INF . 23 -INF 101.777 +INF . 24 -INF 113.915 +INF . 25 -INF 127.363 +INF . 26 -INF 142.227 +INF . 27 -INF 158.629 +INF . 28 -INF 176.699 +INF . 29 -INF 196.584 +INF . 30 -INF 218.441 +INF . 31 -INF 242.440 +INF . 32 -INF 268.762 +INF . 33 -INF 297.603 +INF . 34 -INF 329.172 +INF . 35 -INF 363.691 +INF . 36 -INF 401.398 +INF . 37 -INF 442.547 +INF . 38 -INF 487.406 +INF . 39 -INF 536.260 +INF . 40 -INF 589.414 +INF . 41 -INF 647.188 +INF . 42 -INF 595.154 +INF . 43 -INF 629.710 +INF . 44 -INF 768.301 +INF . 45 -INF 884.329 +INF . 46 -INF 991.110 +INF . 47 -INF 1096.046 +INF . 48 -INF 712.647 +INF . 49 -INF 739.161 +INF . 50 -INF 531.902 +INF . 51 -INF 1037.427 +INF . 52 -INF 1392.036 +INF . 53 -INF 1651.538 +INF . 54 -INF 1865.121 +INF . 55 -INF 294.859 +INF . 56 -INF 638.901 +INF . 57 -INF 323.126 +INF . 58 -INF 773.032 +INF . 59 -INF 638.334 +INF . 60 -INF 372.655 +INF . ---- VAR PCY Per capita income thousands US dollars LOWER LEVEL UPPER MARGINAL 1 -INF 8.533 +INF . 2 -INF 9.746 +INF . 3 -INF 11.241 +INF . 4 -INF 12.971 +INF . 5 -INF 14.927 +INF . 6 -INF 17.119 +INF . 7 -INF 19.567 +INF . 8 -INF 22.299 +INF . 9 -INF 25.345 +INF . 10 -INF 28.740 +INF . 11 -INF 32.523 +INF . 12 -INF 36.740 +INF . 13 -INF 41.439 +INF . 14 -INF 46.671 +INF . 15 -INF 52.493 +INF . 16 -INF 58.968 +INF . 17 -INF 66.164 +INF . 18 -INF 74.159 +INF . 19 -INF 83.040 +INF . 20 -INF 92.907 +INF . 21 -INF 103.942 +INF . 22 -INF 116.482 +INF . 23 -INF 130.483 +INF . 24 -INF 146.045 +INF . 25 -INF 163.286 +INF . 26 -INF 182.343 +INF . 27 -INF 203.370 +INF . 28 -INF 226.537 +INF . 29 -INF 252.031 +INF . 30 -INF 280.053 +INF . 31 -INF 310.820 +INF . 32 -INF 344.566 +INF . 33 -INF 381.542 +INF . 34 -INF 422.015 +INF . 35 -INF 466.270 +INF . 36 -INF 514.613 +INF . 37 -INF 567.368 +INF . 38 -INF 624.879 +INF . 39 -INF 687.513 +INF . 40 -INF 755.659 +INF . 41 -INF 829.728 +INF . 42 -INF 763.018 +INF . 43 -INF 807.320 +INF . 44 -INF 985.002 +INF . 45 -INF 1133.755 +INF . 46 -INF 1270.654 +INF . 47 -INF 1405.187 +INF . 48 -INF 913.650 +INF . 49 -INF 947.642 +INF . 50 -INF 681.926 +INF . 51 -INF 1330.035 +INF . 52 -INF 1784.662 +INF . 53 -INF 2117.356 +INF . 54 -INF 2391.180 +INF . 55 -INF 378.024 +INF . 56 -INF 819.104 +INF . 57 -INF 414.264 +INF . 58 -INF 991.067 +INF . 59 -INF 818.377 +INF . 60 -INF 477.763 +INF . ---- VAR I Investment trillions US dollars LOWER LEVEL UPPER MARGINAL 1 . 12.228 +INF . 2 . 15.287 +INF . 3 . 18.707 +INF . 4 . 22.458 +INF . 5 . 26.553 +INF . 6 . 31.024 +INF . 7 . 35.922 +INF . 8 . 41.307 +INF . 9 . 47.246 +INF . 10 . 53.811 +INF . 11 . 61.083 +INF . 12 . 69.153 +INF . 13 . 78.117 +INF . 14 . 88.075 +INF . 15 . 99.138 +INF . 16 . 111.425 +INF . 17 . 125.070 +INF . 18 . 140.220 +INF . 19 . 157.041 +INF . 20 . 175.726 +INF . 21 . 196.615 +INF . 22 . 220.349 +INF . 23 . 246.847 +INF . 24 . 276.295 +INF . 25 . 308.920 +INF . 26 . 344.980 +INF . 27 . 384.766 +INF . 28 . 428.601 +INF . 29 . 476.837 +INF . 30 . 529.855 +INF . 31 . 588.068 +INF . 32 . 651.917 +INF . 33 . 721.875 +INF . 34 . 798.450 +INF . 35 . 882.182 +INF . 36 . 973.648 +INF . 37 . 1073.460 +INF . 38 . 1182.271 +INF . 39 . 1300.774 +INF . 40 . 1429.706 +INF . 41 . 1569.845 +INF . 42 . 1443.629 +INF . 43 . 1527.450 +INF . 44 . 1863.624 +INF . 45 . 2145.065 +INF . 46 . 2404.077 +INF . 47 . 2658.614 +INF . 48 . 1728.625 +INF . 49 . 1792.939 +INF . 50 . 1290.204 +INF . 51 . 2516.426 +INF . 52 . 3376.580 +INF . 53 . 4006.039 +INF . 54 . 4524.114 +INF . 55 . 715.222 +INF . 56 . 1549.746 +INF . 57 . 783.788 +INF . 58 . 1875.099 +INF . 59 . 1548.369 +INF . 60 . 903.928 +INF . ---- VAR S Gross savings rate as fraction of gross world product LOWER LEVEL UPPER MARGINAL 1 0.220 0.220 0.220 1936.025 2 0.220 0.220 0.220 -861.922 3 0.220 0.220 0.220 -1783.442 4 0.220 0.220 0.220 -1899.057 5 0.220 0.220 0.220 -1704.735 6 0.220 0.220 0.220 -1419.983 7 0.220 0.220 0.220 -1136.677 8 0.220 0.220 0.220 -888.849 9 0.220 0.220 0.220 -684.995 10 0.220 0.220 0.220 -523.047 11 0.220 0.220 0.220 -397.280 12 0.220 0.220 0.220 -300.018 13 0.220 0.220 0.220 -225.500 14 0.220 0.220 0.220 -168.761 15 0.220 0.220 0.220 -125.763 16 0.220 0.220 0.220 -93.321 17 0.220 0.220 0.220 -68.966 18 0.220 0.220 0.220 -50.871 19 0.220 0.220 0.220 -37.750 20 0.220 0.220 0.220 -28.799 21 0.220 0.220 0.220 -22.718 22 0.220 0.220 0.220 -17.073 23 0.220 0.220 0.220 -12.776 24 0.220 0.220 0.220 -9.544 25 0.220 0.220 0.220 -7.128 26 0.220 0.220 0.220 -5.325 27 0.220 0.220 0.220 -3.982 28 0.220 0.220 0.220 -2.980 29 0.220 0.220 0.220 -2.233 30 0.220 0.220 0.220 -1.675 31 0.220 0.220 0.220 -1.258 32 0.220 0.220 0.220 -0.948 33 0.220 0.220 0.220 -0.719 34 0.220 0.220 0.220 -0.554 35 0.220 0.220 0.220 -0.444 36 0.220 0.220 0.220 -0.385 37 0.220 0.220 0.220 -0.389 38 0.220 0.220 0.220 -0.483 39 0.220 0.220 0.220 -0.728 40 0.220 0.220 0.220 -1.247 41 0.220 0.220 0.220 -2.276 42 0.220 0.220 0.220 -2.133 43 0.220 0.220 0.220 -0.149 44 0.220 0.220 0.220 -0.124 45 0.220 0.220 0.220 -0.175 46 0.220 0.220 0.220 -0.300 47 0.220 0.220 0.220 -0.550 48 0.220 0.220 0.220 -0.729 49 0.220 0.220 0.220 -0.606 50 0.220 0.220 0.220 -2.945 51 0.220 0.220 0.220 -0.051 52 0.220 0.220 0.220 -0.039 53 0.220 0.220 0.220 -0.062 54 0.220 0.220 0.220 -0.114 55 0.220 0.220 0.220 -0.621 56 0.220 0.220 0.220 -0.247 57 0.220 0.220 0.220 -0.421 58 0.220 0.220 0.220 -0.152 59 0.220 0.220 0.220 -0.158 60 0.220 0.220 0.220 -0.234 ---- VAR RI Real interest rate per annum LOWER LEVEL UPPER MARGINAL 1 -INF 0.057 +INF . 2 -INF 0.057 +INF . 3 -INF 0.055 +INF . 4 -INF 0.052 +INF . 5 -INF 0.050 +INF . 6 -INF 0.048 +INF . 7 -INF 0.046 +INF . 8 -INF 0.045 +INF . 9 -INF 0.044 +INF . 10 -INF 0.043 +INF . 11 -INF 0.042 +INF . 12 -INF 0.042 +INF . 13 -INF 0.042 +INF . 14 -INF 0.041 +INF . 15 -INF 0.041 +INF . 16 -INF 0.041 +INF . 17 -INF 0.040 +INF . 18 -INF 0.040 +INF . 19 -INF 0.040 +INF . 20 -INF 0.040 +INF . 21 -INF 0.040 +INF . 22 -INF 0.040 +INF . 23 -INF 0.040 +INF . 24 -INF 0.040 +INF . 25 -INF 0.040 +INF . 26 -INF 0.040 +INF . 27 -INF 0.039 +INF . 28 -INF 0.039 +INF . 29 -INF 0.039 +INF . 30 -INF 0.039 +INF . 31 -INF 0.039 +INF . 32 -INF 0.039 +INF . 33 -INF 0.038 +INF . 34 -INF 0.038 +INF . 35 -INF 0.038 +INF . 36 -INF 0.038 +INF . 37 -INF 0.038 +INF . 38 -INF 0.038 +INF . 39 -INF 0.037 +INF . 40 -INF 0.037 +INF . 41 -INF 0.037 +INF . 42 -INF 0.089 +INF . 43 -INF 0.102 +INF . 44 -INF 0.064 +INF . 45 -INF 0.050 +INF . 46 -INF 0.043 +INF . 47 -INF 0.040 +INF . 48 -INF 0.285 +INF . 49 -INF 0.326 +INF . 50 -INF 0.936 +INF . 51 -INF 0.189 +INF . 52 -INF 0.089 +INF . 53 -INF 0.059 +INF . 54 -INF 0.046 +INF . 55 -INF 9.688 +INF . 56 -INF 1.817 +INF . 57 -INF 10.623 +INF . 58 -INF 1.529 +INF . 59 -INF 2.782 +INF . 60 -INF 12.261 +INF . ---- VAR Y Gross world product net of abatement and damages LOWER LEVEL UPPER MARGINAL 1 . 55.583 +INF . 2 . 69.487 +INF . 3 . 85.029 +INF . 4 . 102.082 +INF . 5 . 120.693 +INF . 6 . 141.017 +INF . 7 . 163.281 +INF . 8 . 187.758 +INF . 9 . 214.752 +INF . 10 . 244.596 +INF . 11 . 277.648 +INF . 12 . 314.332 +INF . 13 . 355.076 +INF . 14 . 400.341 +INF . 15 . 450.627 +INF . 16 . 506.478 +INF . 17 . 568.500 +INF . 18 . 637.363 +INF . 19 . 713.822 +INF . 20 . 798.752 +INF . 21 . 893.703 +INF . 22 . 1001.586 +INF . 23 . 1122.029 +INF . 24 . 1255.887 +INF . 25 . 1404.180 +INF . 26 . 1568.088 +INF . 27 . 1748.935 +INF . 28 . 1948.185 +INF . 29 . 2167.440 +INF . 30 . 2408.433 +INF . 31 . 2673.035 +INF . 32 . 2963.257 +INF . 33 . 3281.251 +INF . 34 . 3629.319 +INF . 35 . 4009.919 +INF . 36 . 4425.670 +INF . 37 . 4879.361 +INF . 38 . 5373.957 +INF . 39 . 5912.610 +INF . 40 . 6498.662 +INF . 41 . 7135.660 +INF . 42 . 6561.950 +INF . 43 . 6942.955 +INF . 44 . 8471.015 +INF . 45 . 9750.296 +INF . 46 . 10927.621 +INF . 47 . 12084.608 +INF . 48 . 7857.388 +INF . 49 . 8149.721 +INF . 50 . 5864.561 +INF . 51 . 11438.299 +INF . 52 . 15348.089 +INF . 53 . 18209.266 +INF . 54 . 20564.152 +INF . 55 . 3251.006 +INF . 56 . 7044.298 +INF 2.7359E-5 57 . 3562.670 +INF . 58 . 8523.175 +INF . 59 . 7038.041 +INF 1.7534E-5 60 . 4108.762 +INF . ---- VAR YGROSS Gross world product GROSS of abatement and damages LOWER LEVEL UPPER MARGINAL 1 . 55.667 +INF . 2 . 69.685 +INF . 3 . 85.391 +INF . 4 . 102.688 +INF . 5 . 121.641 +INF . 6 . 142.428 +INF . 7 . 165.301 +INF . 8 . 190.559 +INF . 9 . 218.540 +INF . 10 . 249.611 +INF . 11 . 284.167 +INF . 12 . 322.636 +INF . 13 . 365.489 +INF . 14 . 413.228 +INF . 15 . 466.398 +INF . 16 . 525.584 +INF . 17 . 591.425 +INF . 18 . 664.613 +INF . 19 . 745.907 +INF . 20 . 836.135 +INF . 21 . 936.208 +INF . 22 . 1047.268 +INF . 23 . 1170.897 +INF . 24 . 1308.071 +INF . 25 . 1459.896 +INF . 26 . 1627.603 +INF . 27 . 1812.552 +INF . 28 . 2016.231 +INF . 29 . 2240.255 +INF . 30 . 2486.372 +INF . 31 . 2756.461 +INF . 32 . 3052.541 +INF . 33 . 3376.774 +INF . 34 . 3731.470 +INF . 35 . 4119.096 +INF . 36 . 4542.283 +INF . 37 . 5003.829 +INF . 38 . 5506.712 +INF . 39 . 6054.096 +INF . 40 . 6649.337 +INF . 41 . 7295.995 +INF . 42 . 6704.870 +INF . 43 . 7089.563 +INF . 44 . 8644.472 +INF . 45 . 9943.937 +INF . 46 . 11138.152 +INF . 47 . 12310.512 +INF . 48 . 7999.935 +INF . 49 . 8298.147 +INF . 50 . 6013.458 +INF . 51 . 11751.238 +INF . 52 . 15789.765 +INF . 53 . 18794.653 +INF . 54 . 21286.001 +INF . 55 . 3381.149 +INF . 56 . 7381.042 +INF . 57 . 3772.957 +INF . 58 . 9155.572 +INF 1.2892E-5 59 . 7662.595 +INF . 60 . 4428.925 +INF . ---- VAR YNET Output net of damages equation LOWER LEVEL UPPER MARGINAL 1 -INF 55.583 +INF . 2 -INF 69.507 +INF . 3 -INF 85.063 +INF . 4 -INF 102.139 +INF . 5 -INF 120.781 +INF . 6 -INF 141.149 +INF . 7 -INF 163.474 +INF . 8 -INF 188.034 +INF . 9 -INF 215.139 +INF . 10 -INF 245.132 +INF . 11 -INF 278.380 +INF . 12 -INF 315.323 +INF . 13 -INF 356.409 +INF . 14 -INF 402.125 +INF . 15 -INF 453.003 +INF . 16 -INF 509.637 +INF . 17 -INF 572.690 +INF . 18 -INF 642.910 +INF . 19 -INF 721.159 +INF . 20 -INF 808.428 +INF . 21 -INF 905.828 +INF . 22 -INF 1014.486 +INF . 23 -INF 1135.770 +INF . 24 -INF 1270.535 +INF . 25 -INF 1419.802 +INF . 26 -INF 1584.753 +INF . 27 -INF 1766.717 +INF . 28 -INF 1967.162 +INF . 29 -INF 2187.693 +INF . 30 -INF 2430.052 +INF . 31 -INF 2696.114 +INF . 32 -INF 2987.896 +INF . 33 -INF 3307.558 +INF . 34 -INF 3657.409 +INF . 35 -INF 4039.913 +INF . 36 -INF 4457.698 +INF . 37 -INF 4913.561 +INF . 38 -INF 5410.477 +INF . 39 -INF 5951.606 +INF . 40 -INF 6540.301 +INF . 41 -INF 7180.117 +INF . 42 -INF 6601.739 +INF . 43 -INF 6983.964 +INF . 44 -INF 8519.796 +INF . 45 -INF 9805.082 +INF . 46 -INF 10987.581 +INF . 47 -INF 12149.410 +INF . 48 -INF 7898.595 +INF . 49 -INF 8169.706 +INF . 50 -INF 5894.042 +INF . 51 -INF 11494.653 +INF . 52 -INF 15408.583 +INF . 53 -INF 18295.605 +INF . 54 -INF 20634.708 +INF . 55 -INF 3257.054 +INF . 56 -INF 7051.821 +INF . 57 -INF 3562.803 +INF . 58 -INF 8536.492 +INF . 59 -INF 7039.374 +INF . 60 -INF 4110.047 +INF . ---- VAR DAMAGES Damages LOWER LEVEL UPPER MARGINAL 1 -INF 0.084 +INF . 2 -INF 0.178 +INF . 3 -INF 0.328 +INF . 4 -INF 0.549 +INF . 5 -INF 0.860 +INF . 6 -INF 1.279 +INF . 7 -INF 1.827 +INF . 8 -INF 2.526 +INF . 9 -INF 3.401 +INF . 10 -INF 4.479 +INF . 11 -INF 5.787 +INF . 12 -INF 7.313 +INF . 13 -INF 9.080 +INF . 14 -INF 11.104 +INF . 15 -INF 13.394 +INF . 16 -INF 15.947 +INF . 17 -INF 18.735 +INF . 18 -INF 21.703 +INF . 19 -INF 24.749 +INF . 20 -INF 27.706 +INF . 21 -INF 30.380 +INF . 22 -INF 32.783 +INF . 23 -INF 35.126 +INF . 24 -INF 37.536 +INF . 25 -INF 40.094 +INF . 26 -INF 42.849 +INF . 27 -INF 45.835 +INF . 28 -INF 49.069 +INF . 29 -INF 52.562 +INF . 30 -INF 56.320 +INF . 31 -INF 60.347 +INF . 32 -INF 64.645 +INF . 33 -INF 69.216 +INF . 34 -INF 74.061 +INF . 35 -INF 79.184 +INF . 36 -INF 84.585 +INF . 37 -INF 90.267 +INF . 38 -INF 96.235 +INF . 39 -INF 102.490 +INF . 40 -INF 109.037 +INF . 41 -INF 115.879 +INF . 42 -INF 103.132 +INF . 43 -INF 105.600 +INF . 44 -INF 124.675 +INF . 45 -INF 138.855 +INF . 46 -INF 150.572 +INF . 47 -INF 161.102 +INF . 48 -INF 101.340 +INF . 49 -INF 128.442 +INF . 50 -INF 119.416 +INF . 51 -INF 256.585 +INF . 52 -INF 381.182 +INF . 53 -INF 499.048 +INF . 54 -INF 651.293 +INF . 55 -INF 124.095 +INF . 56 -INF 329.220 +INF . 57 -INF 210.154 +INF . 58 -INF 619.080 +INF . 59 -INF 623.221 +INF . 60 -INF 318.878 +INF . ---- VAR ABATECOST Cost of emissions reductions LOWER LEVEL UPPER MARGINAL 1 -INF 1.3292E-5 +INF . 2 -INF 0.020 +INF . 3 -INF 0.035 +INF . 4 -INF 0.057 +INF . 5 -INF 0.088 +INF . 6 -INF 0.133 +INF . 7 -INF 0.195 +INF . 8 -INF 0.279 +INF . 9 -INF 0.393 +INF . 10 -INF 0.545 +INF . 11 -INF 0.747 +INF . 12 -INF 1.014 +INF . 13 -INF 1.367 +INF . 14 -INF 1.833 +INF . 15 -INF 2.447 +INF . 16 -INF 3.258 +INF . 17 -INF 4.326 +INF . 18 -INF 5.735 +INF . 19 -INF 7.588 +INF . 20 -INF 10.007 +INF . 21 -INF 12.532 +INF . 22 -INF 13.317 +INF . 23 -INF 14.166 +INF . 24 -INF 15.081 +INF . 25 -INF 16.063 +INF . 26 -INF 17.116 +INF . 27 -INF 18.243 +INF . 28 -INF 19.450 +INF . 29 -INF 20.740 +INF . 30 -INF 22.120 +INF . 31 -INF 23.595 +INF . 32 -INF 25.172 +INF . 33 -INF 26.858 +INF . 34 -INF 28.658 +INF . 35 -INF 30.582 +INF . 36 -INF 32.636 +INF . 37 -INF 34.829 +INF . 38 -INF 37.170 +INF . 39 -INF 39.668 +INF . 40 -INF 42.332 +INF . 41 -INF 45.174 +INF . 42 -INF 40.410 +INF . 43 -INF 41.629 +INF . 44 -INF 49.495 +INF . 45 -INF 55.562 +INF . 46 -INF 60.781 +INF . 47 -INF 65.661 +INF . 48 -INF 41.736 +INF . 49 -INF 20.299 +INF . 50 -INF 30.079 +INF . 51 -INF 57.612 +INF . 52 -INF 61.990 +INF . 53 -INF 88.694 +INF . 54 -INF 72.784 +INF . 55 -INF 6.278 +INF . 56 -INF 7.874 +INF . 57 -INF 0.141 +INF . 58 -INF 14.283 +INF . 59 -INF 1.451 +INF . 60 -INF 1.385 +INF . ---- VAR CCA Cumulative industrial carbon emissions GTC LOWER LEVEL UPPER MARGINAL 1 . . 6000.000 . 2 . 85.320 6000.000 . 3 . 168.708 6000.000 . 4 . 259.321 6000.000 . 5 . 356.343 6000.000 . 6 . 458.921 6000.000 . 7 . 566.234 6000.000 . 8 . 677.495 6000.000 . 9 . 791.919 6000.000 . 10 . 908.694 6000.000 . 11 . 1026.935 6000.000 . 12 . 1145.637 6000.000 . 13 . 1263.611 6000.000 . 14 . 1379.420 6000.000 . 15 . 1491.331 6000.000 . 16 . 1597.219 6000.000 . 17 . 1694.455 6000.000 . 18 . 1779.930 6000.000 . 19 . 1849.871 6000.000 . 20 . 1899.782 6000.000 . 21 . 1924.559 6000.000 . 22 . 1925.896 6000.000 . 23 . 1927.100 6000.000 . 24 . 1928.183 6000.000 . 25 . 1929.158 6000.000 . 26 . 1930.036 6000.000 . 27 . 1930.825 6000.000 . 28 . 1931.536 6000.000 . 29 . 1932.176 6000.000 . 30 . 1932.751 6000.000 . 31 . 1933.269 6000.000 . 32 . 1933.736 6000.000 . 33 . 1934.155 6000.000 . 34 . 1934.533 6000.000 . 35 . 1934.873 6000.000 . 36 . 1935.179 6000.000 . 37 . 1935.454 6000.000 . 38 . 1935.702 6000.000 . 39 . 1935.925 6000.000 . 40 . 1936.126 6000.000 . 41 . 1936.307 6000.000 . 42 . 1936.469 6000.000 . 43 . 1936.616 6000.000 . 44 . 1936.747 6000.000 . 45 . 1936.866 6000.000 . 46 . 1936.972 6000.000 . 47 . 1937.068 6000.000 . 48 . 1937.155 6000.000 . 49 . 1937.233 6000.000 . 50 . 2367.116 6000.000 . 51 . 2367.179 6000.000 . 52 . 2367.236 6000.000 . 53 . 2602.763 6000.000 . 54 . 2602.809 6000.000 . 55 . 3056.595 6000.000 . 56 . 3245.905 6000.000 . 57 . 3841.807 6000.000 . 58 . 4454.971 6000.000 . 59 . 5003.967 6000.000 . 60 . 6000.000 6000.000 -2.325E-6 ---- VAR PERIODU One period utility function LOWER LEVEL UPPER MARGINAL 1 -INF -149.250 +INF . 2 -INF -130.552 +INF . 3 -INF -113.051 +INF . 4 -INF -97.840 +INF . 5 -INF -84.889 +INF . 6 -INF -73.891 +INF . 7 -INF -64.520 +INF . 8 -INF -56.494 +INF . 9 -INF -49.584 +INF . 10 -INF -43.608 +INF . 11 -INF -38.420 +INF . 12 -INF -33.895 +INF . 13 -INF -29.939 +INF . 14 -INF -26.470 +INF . 15 -INF -23.423 +INF . 16 -INF -20.742 +INF . 17 -INF -18.377 +INF . 18 -INF -16.288 +INF . 19 -INF -14.439 +INF . 20 -INF -12.799 +INF . 21 -INF -11.334 +INF . 22 -INF -10.006 +INF . 23 -INF -8.825 +INF . 24 -INF -7.778 +INF . 25 -INF -6.852 +INF . 26 -INF -6.031 +INF . 27 -INF -5.304 +INF . 28 -INF -4.659 +INF . 29 -INF -4.087 +INF . 30 -INF -3.578 +INF . 31 -INF -3.125 +INF . 32 -INF -2.721 +INF . 33 -INF -2.360 +INF . 34 -INF -2.038 +INF . 35 -INF -1.750 +INF . 36 -INF -1.491 +INF . 37 -INF -1.260 +INF . 38 -INF -1.052 +INF . 39 -INF -0.865 +INF . 40 -INF -0.697 +INF . 41 -INF -0.545 +INF . 42 -INF -0.680 +INF . 43 -INF -0.588 +INF . 44 -INF -0.302 +INF . 45 -INF -0.131 +INF . 46 -INF -0.009 +INF . 47 -INF 0.088 +INF . 48 -INF -0.403 +INF . 49 -INF -0.353 +INF . 50 -INF -0.880 +INF . 51 -INF 0.036 +INF . 52 -INF 0.282 +INF . 53 -INF 0.395 +INF . 54 -INF 0.464 +INF . 55 -INF -2.391 +INF . 56 -INF -0.565 +INF . 57 -INF -2.095 +INF . 58 -INF -0.294 +INF . 59 -INF -0.567 +INF . 60 -INF -1.683 +INF . LOWER LEVEL UPPER MARGINAL ---- VAR UTILITY -INF 1.5016E+5 +INF . **** REPORT SUMMARY : 0 NONOPT 0 INFEASIBLE 0 UNBOUNDED 0 ERRORS GAMS Rev 237 LEX-LEG 23.7.1 x86_64/Linux 09/14/11 00:04:35 Page 6 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Model Statistics SOLVE CO2 Using NLP From line 308 MODEL STATISTICS BLOCKS OF EQUATIONS 30 SINGLE EQUATIONS 1,263 BLOCKS OF VARIABLES 24 SINGLE VARIABLES 1,381 NON ZERO ELEMENTS 3,767 NON LINEAR N-Z 1,080 DERIVATIVE POOL 6 CONSTANT POOL 327 CODE LENGTH 5,643 GENERATION TIME = 0.003 SECONDS 3 Mb LEX237-237 Jul 7, 2011 EXECUTION TIME = 0.008 SECONDS 3 Mb LEX237-237 Jul 7, 2011 GAMS Rev 237 LEX-LEG 23.7.1 x86_64/Linux 09/14/11 00:04:35 Page 7 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Solution Report SOLVE CO2 Using NLP From line 308 S O L V E S U M M A R Y MODEL CO2 OBJECTIVE UTILITY TYPE NLP DIRECTION MAXIMIZE SOLVER MINOS FROM LINE 308 **** SOLVER STATUS 1 Normal Completion **** MODEL STATUS 2 Locally Optimal **** OBJECTIVE VALUE 150161.7831 RESOURCE USAGE, LIMIT 0.040 99999.000 ITERATION COUNT, LIMIT 24 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: 150161.8 ---- EQU CCTFIRST First period cumulative carbon LOWER LEVEL UPPER MARGINAL 1 . . . 2.8797E-6 ---- EQU CCACCA Cumulative carbon emissions LOWER LEVEL UPPER MARGINAL 2 . . . 2.8797E-6 3 . . . 2.8797E-6 4 . . . 2.8797E-6 5 . . . 2.8797E-6 6 . . . 2.8797E-6 7 . . . 2.8797E-6 8 . . . 2.8797E-6 9 . . . 2.8797E-6 10 . . . 2.8797E-6 11 . . . 2.8797E-6 12 . . . 2.8797E-6 13 . . . 2.8797E-6 14 . . . 2.8797E-6 15 . . . 2.8797E-6 16 . . . 2.8797E-6 17 . . . 2.8797E-6 18 . . . 2.8797E-6 19 . . . 2.8797E-6 20 . . . 2.8797E-6 21 . . . 2.8797E-6 22 . . . 2.8797E-6 23 . . . 2.8797E-6 24 . . . 2.8797E-6 25 . . . 2.8797E-6 26 . . . 2.8797E-6 27 . . . 2.8797E-6 28 . . . 2.8797E-6 29 . . . 2.8797E-6 30 . . . 2.8797E-6 31 . . . 2.8797E-6 32 . . . 2.8797E-6 33 . . . 2.8797E-6 34 . . . 2.8797E-6 35 . . . 2.8797E-6 36 . . . 2.8797E-6 37 . . . 2.8797E-6 38 . . . 2.8797E-6 39 . . . 2.8797E-6 40 . . . 2.8797E-6 41 . . . 2.8797E-6 42 . . . 2.8797E-6 43 . . . 2.8797E-6 44 . . . 2.8797E-6 45 . . . 2.8797E-6 46 . . . 2.8797E-6 47 . . . 2.8797E-6 48 . . . 2.8797E-6 49 . . . 2.8797E-6 50 . . . 2.8797E-6 51 . . . 2.8797E-6 52 . . . 2.8797E-6 53 . . . 2.8797E-6 54 . . . 2.8797E-6 55 . . . 2.8797E-6 56 . . . 2.8797E-6 57 . . . 2.8797E-6 58 . . . 2.8797E-6 59 . . . 2.8797E-6 60 . . . 2.8797E-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 . . . 1171.331 2 . . . 765.926 3 . . . 493.212 4 . . . 318.074 5 . . . 206.510 6 . . . 135.112 7 . . . 89.038 8 . . . 59.050 9 . . . 39.380 10 . . . 26.388 11 . . . 17.758 12 . . . 11.993 13 . . . 8.126 14 . . . 5.522 15 . . . 3.763 16 . . . 2.571 17 . . . 1.761 18 . . . 1.208 19 . . . 0.831 20 . . . 0.572 21 . . . 0.394 22 . . . 0.270 23 . . . 0.186 24 . . . 0.128 25 . . . 0.088 26 . . . 0.061 27 . . . 0.042 28 . . . 0.029 29 . . . 0.020 30 . . . 0.014 31 . . . 0.010 32 . . . 0.007 33 . . . 0.005 34 . . . 0.003 35 . . . 0.002 36 . . . 0.002 37 . . . 0.001 38 . . . 8.5921E-4 39 . . . 5.9857E-4 40 . . . 4.0406E-4 41 . . . 2.4878E-4 42 . . . 2.5349E-4 43 . . . 2.4543E-4 44 . . . 1.4158E-4 45 . . . 9.0229E-5 46 . . . 5.8568E-5 47 . . . 3.5502E-5 48 . . . 7.2449E-5 49 . . . 5.8925E-5 50 . . . 1.3360E-5 51 . . . 2.6659E-5 52 . . . 1.2969E-5 53 . . . 7.5451E-6 54 . . . 4.3741E-6 55 . . . 1.5009E-4 56 . . . 2.7498E-5 57 . . . 9.2537E-5 58 . . . 1.3922E-5 59 . . . 1.7534E-5 60 . . . 4.4306E-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 . . . 1169.558 2 . . . 763.742 3 . . . 491.118 4 . . . 316.199 5 . . . 204.902 6 . . . 133.773 7 . . . 87.950 8 . . . 58.182 9 . . . 38.697 10 . . . 25.858 11 . . . 17.351 12 . . . 11.684 13 . . . 7.894 14 . . . 5.350 15 . . . 3.636 16 . . . 2.477 17 . . . 1.692 18 . . . 1.159 19 . . . 0.795 20 . . . 0.546 21 . . . 0.376 22 . . . 0.258 23 . . . 0.178 24 . . . 0.123 25 . . . 0.085 26 . . . 0.059 27 . . . 0.041 28 . . . 0.028 29 . . . 0.020 30 . . . 0.014 31 . . . 0.010 32 . . . 0.007 33 . . . 0.005 34 . . . 0.003 35 . . . 0.002 36 . . . 0.002 37 . . . 0.001 38 . . . 8.3849E-4 39 . . . 5.8458E-4 40 . . . 3.9490E-4 41 . . . 2.4331E-4 42 . . . 2.4808E-4 43 . . . 2.4035E-4 44 . . . 1.3873E-4 45 . . . 8.8472E-5 46 . . . 5.7461E-5 47 . . . 3.4851E-5 48 . . . 7.1115E-5 49 . . . 5.7394E-5 50 . . . 1.2975E-5 51 . . . 2.5706E-5 52 . . . 1.2486E-5 53 . . . 7.2662E-6 54 . . . 4.2069E-6 55 . . . 1.4382E-4 56 . . . 5.2534E-8 57 . . . 8.7204E-5 58 . . . 2.4860E-8 59 . . . 2.2469E-8 60 . . . 4.1115E-5 ---- EQU DAMEQ Damage equation LOWER LEVEL UPPER MARGINAL 1 . . . EPS 2 . . . EPS 3 . . . EPS 4 . . . EPS 5 . . . EPS 6 . . . EPS 7 . . . EPS 8 . . . EPS 9 . . . EPS 10 . . . EPS 11 . . . EPS 12 . . . EPS 13 . . . EPS 14 . . . EPS 15 . . . EPS 16 . . . EPS 17 . . . EPS 18 . . . EPS 19 . . . EPS 20 . . . EPS 21 . . . EPS 22 . . . EPS 23 . . . EPS 24 . . . EPS 25 . . . EPS 26 . . . EPS 27 . . . EPS 28 . . . EPS 29 . . . EPS 30 . . . EPS 31 . . . EPS 32 . . . EPS 33 . . . EPS 34 . . . EPS 35 . . . EPS 36 . . . EPS 37 . . . EPS 38 . . . EPS 39 . . . EPS 40 . . . EPS 41 . . . EPS 42 . . . EPS 43 . . . EPS 44 . . . EPS 45 . . . EPS 46 . . . EPS 47 . . . EPS 48 . . . EPS 49 . . . EPS 50 . . . EPS 51 . . . EPS 52 . . . EPS 53 . . . EPS 54 . . . EPS 55 . . . EPS 56 . . . EPS 57 . . . EPS 58 . . . EPS 59 . . . EPS 60 . . . EPS ---- EQU ABATEEQ Cost of emissions reductions equation LOWER LEVEL UPPER MARGINAL 1 . . . EPS 2 . . . EPS 3 . . . EPS 4 . . . EPS 5 . . . EPS 6 . . . EPS 7 . . . EPS 8 . . . EPS 9 . . . EPS 10 . . . EPS 11 . . . EPS 12 . . . EPS 13 . . . EPS 14 . . . EPS 15 . . . EPS 16 . . . EPS 17 . . . EPS 18 . . . EPS 19 . . . EPS 20 . . . EPS 21 . . . EPS 22 . . . EPS 23 . . . EPS 24 . . . EPS 25 . . . EPS 26 . . . EPS 27 . . . EPS 28 . . . EPS 29 . . . EPS 30 . . . EPS 31 . . . EPS 32 . . . EPS 33 . . . EPS 34 . . . EPS 35 . . . EPS 36 . . . EPS 37 . . . EPS 38 . . . EPS 39 . . . EPS 40 . . . EPS 41 . . . EPS 42 . . . EPS 43 . . . EPS 44 . . . EPS 45 . . . EPS 46 . . . EPS 47 . . . EPS 48 . . . EPS 49 . . . EPS 50 . . . EPS 51 . . . EPS 52 . . . EPS 53 . . . EPS 54 . . . EPS 55 . . . EPS 56 . . . EPS 57 . . . EPS 58 . . . EPS 59 . . . EPS 60 . . . EPS ---- EQU CC Consumption equation LOWER LEVEL UPPER MARGINAL 1 . . . 1163.668 2 . . . 768.654 3 . . . 497.826 4 . . . 322.167 5 . . . 209.618 6 . . . 137.327 7 . . . 90.569 8 . . . 60.092 9 . . . 40.081 10 . . . 26.859 11 . . . 18.073 12 . . . 12.203 13 . . . 8.266 14 . . . 5.615 15 . . . 3.824 16 . . . 2.611 17 . . . 1.787 18 . . . 1.226 19 . . . 0.842 20 . . . 0.580 21 . . . 0.399 22 . . . 0.274 23 . . . 0.188 24 . . . 0.129 25 . . . 0.089 26 . . . 0.062 27 . . . 0.043 28 . . . 0.030 29 . . . 0.021 30 . . . 0.014 31 . . . 0.010 32 . . . 0.007 33 . . . 0.005 34 . . . 0.003 35 . . . 0.002 36 . . . 0.002 37 . . . 0.001 38 . . . 8.7899E-4 39 . . . 6.2568E-4 40 . . . 4.4627E-4 41 . . . 3.1895E-4 42 . . . 3.2498E-4 43 . . . 2.5014E-4 44 . . . 1.4479E-4 45 . . . 9.4170E-5 46 . . . 6.4600E-5 47 . . . 4.5516E-5 48 . . . 9.2884E-5 49 . . . 7.5545E-5 50 . . . 1.1171E-4 51 . . . 2.7577E-5 52 . . . 1.3534E-5 53 . . . 8.3044E-6 54 . . . 5.6078E-6 55 . . . 1.9242E-4 56 . . . 3.5254E-5 57 . . . 1.1864E-4 58 . . . 1.7849E-5 59 . . . 2.2480E-5 60 . . . 5.6802E-5 ---- EQU KK Capital balance equation LOWER LEVEL UPPER MARGINAL 1 -INF . . 119.850 2 -INF . . 75.625 3 -INF . . 47.685 4 -INF . . 30.356 5 -INF . . 19.549 6 -INF . . 12.726 7 -INF . . 8.361 8 -INF . . 5.536 9 -INF . . 3.689 10 -INF . . 2.472 11 -INF . . 1.664 12 -INF . . 1.125 13 -INF . . 0.763 14 -INF . . 0.519 15 -INF . . 0.355 16 -INF . . 0.243 17 -INF . . 0.167 18 -INF . . 0.115 19 -INF . . 0.079 20 -INF . . 0.054 21 -INF . . 0.037 22 -INF . . 0.026 23 -INF . . 0.018 24 -INF . . 0.012 25 -INF . . 0.008 26 -INF . . 0.006 27 -INF . . 0.004 28 -INF . . 0.003 29 -INF . . 0.002 30 -INF . . 0.001 31 -INF . . 9.6027E-4 32 -INF . . 6.7430E-4 33 -INF . . 4.7443E-4 34 -INF . . 3.3431E-4 35 -INF . . 2.3570E-4 36 -INF . . 1.6585E-4 37 -INF . . 1.1576E-4 38 -INF . . 7.8908E-5 39 -INF . . 5.0247E-5 40 -INF . . 2.5438E-5 41 -INF -1.022E+4 . . 42 -INF -6417.955 . . 43 -INF . . 2.2873E-5 44 -INF . . 1.3018E-5 45 -INF . . 7.6259E-6 46 -INF . . 3.7180E-6 47 -INF -3.192E+4 . . 48 -INF -1.337E+4 . . 49 -INF -1.785E+4 . . 50 -INF . . EPS 51 -INF . . 2.3404E-6 52 -INF . . 1.0965E-6 53 -INF . . 4.8530E-7 54 -INF -6.414E+4 . . 55 -INF -6039.839 . . 56 -INF -1.575E+4 . . 57 -INF -6252.999 . . 58 -INF -1.853E+4 . . 59 -INF -1.564E+4 . . 60 -INF -9076.811 . . ---- EQU KK0 Initial condition for capital LOWER LEVEL UPPER MARGINAL 1 137.000 137.000 137.000 183.833 ---- EQU KC Terminal condition for capital LOWER LEVEL UPPER MARGINAL 60 -INF -902.194 . . ---- EQU CPCE Per capita consumption definition LOWER LEVEL UPPER MARGINAL 1 . . . EPS 2 . . . EPS 3 . . . EPS 4 . . . EPS 5 . . . EPS 6 . . . EPS 7 . . . EPS 8 . . . EPS 9 . . . EPS 10 . . . EPS 11 . . . EPS 12 . . . EPS 13 . . . EPS 14 . . . EPS 15 . . . EPS 16 . . . EPS 17 . . . EPS 18 . . . EPS 19 . . . EPS 20 . . . EPS 21 . . . EPS 22 . . . EPS 23 . . . EPS 24 . . . EPS 25 . . . EPS 26 . . . EPS 27 . . . EPS 28 . . . EPS 29 . . . EPS 30 . . . EPS 31 . . . EPS 32 . . . EPS 33 . . . EPS 34 . . . EPS 35 . . . EPS 36 . . . EPS 37 . . . EPS 38 . . . EPS 39 . . . EPS 40 . . . EPS 41 . . . EPS 42 . . . EPS 43 . . . EPS 44 . . . EPS 45 . . . EPS 46 . . . EPS 47 . . . EPS 48 . . . EPS 49 . . . EPS 50 . . . EPS 51 . . . EPS 52 . . . EPS 53 . . . EPS 54 . . . EPS 55 . . . EPS 56 . . . EPS 57 . . . EPS 58 . . . EPS 59 . . . EPS 60 . . . EPS ---- EQU PCYE Per capita income definition LOWER LEVEL UPPER MARGINAL 1 . . . EPS 2 . . . EPS 3 . . . EPS 4 . . . EPS 5 . . . EPS 6 . . . EPS 7 . . . EPS 8 . . . EPS 9 . . . EPS 10 . . . EPS 11 . . . EPS 12 . . . EPS 13 . . . EPS 14 . . . EPS 15 . . . EPS 16 . . . EPS 17 . . . EPS 18 . . . EPS 19 . . . EPS 20 . . . EPS 21 . . . EPS 22 . . . EPS 23 . . . EPS 24 . . . EPS 25 . . . EPS 26 . . . EPS 27 . . . EPS 28 . . . EPS 29 . . . EPS 30 . . . EPS 31 . . . EPS 32 . . . EPS 33 . . . EPS 34 . . . EPS 35 . . . EPS 36 . . . EPS 37 . . . EPS 38 . . . EPS 39 . . . EPS 40 . . . EPS 41 . . . EPS 42 . . . EPS 43 . . . EPS 44 . . . EPS 45 . . . EPS 46 . . . EPS 47 . . . EPS 48 . . . EPS 49 . . . EPS 50 . . . EPS 51 . . . EPS 52 . . . EPS 53 . . . EPS 54 . . . EPS 55 . . . EPS 56 . . . EPS 57 . . . EPS 58 . . . EPS 59 . . . EPS 60 . . . EPS ---- EQU EE Emissions equation LOWER LEVEL UPPER MARGINAL 1 11.000 11.000 11.000 -3.215 2 9.900 9.900 9.900 -3.163 3 8.910 8.910 8.910 -2.598 4 8.019 8.019 8.019 -2.100 5 7.217 7.217 7.217 -1.679 6 6.495 6.495 6.495 -1.330 7 5.846 5.846 5.846 -1.048 8 5.261 5.261 5.261 -0.821 9 4.735 4.735 4.735 -0.641 10 4.262 4.262 4.262 -0.499 11 3.835 3.835 3.835 -0.388 12 3.452 3.452 3.452 -0.301 13 3.107 3.107 3.107 -0.233 14 2.796 2.796 2.796 -0.181 15 2.516 2.516 2.516 -0.140 16 2.265 2.265 2.265 -0.109 17 2.038 2.038 2.038 -0.085 18 1.834 1.834 1.834 -0.066 19 1.651 1.651 1.651 -0.052 20 1.486 1.486 1.486 -0.040 21 1.337 1.337 1.337 -0.031 22 1.204 1.204 1.204 -0.024 23 1.083 1.083 1.083 -0.019 24 0.975 0.975 0.975 -0.015 25 0.877 0.877 0.877 -0.011 26 0.790 0.790 0.790 -0.009 27 0.711 0.711 0.711 -0.007 28 0.640 0.640 0.640 -0.005 29 0.576 0.576 0.576 -0.004 30 0.518 0.518 0.518 -0.003 31 0.466 0.466 0.466 -0.002 32 0.420 0.420 0.420 -0.002 33 0.378 0.378 0.378 -0.001 34 0.340 0.340 0.340 -0.001 35 0.306 0.306 0.306 -8.974E-4 36 0.275 0.275 0.275 -6.951E-4 37 0.248 0.248 0.248 -5.384E-4 38 0.223 0.223 0.223 -4.179E-4 39 0.201 0.201 0.201 -3.265E-4 40 0.181 0.181 0.181 -2.584E-4 41 0.163 0.163 0.163 -2.076E-4 42 0.146 0.146 0.146 -1.647E-4 43 0.132 0.132 0.132 -1.244E-4 44 0.119 0.119 0.119 -9.085E-5 45 0.107 0.107 0.107 -6.530E-5 46 0.096 0.096 0.096 -4.398E-5 47 0.086 0.086 0.086 -2.358E-5 48 0.078 0.078 0.078 -2.671E-6 49 0.070 0.070 0.070 -3.507E-6 50 0.063 0.063 0.063 -5.166E-7 51 0.057 0.057 0.057 -2.674E-5 52 0.051 0.051 0.051 -1.975E-5 53 0.046 0.046 0.046 -1.138E-5 54 0.041 0.041 0.041 -2.200E-7 55 0.037 0.037 0.037 -5.268E-6 56 0.033 0.033 0.033 -6.618E-7 57 0.030 0.030 0.030 -2.813E-7 58 0.027 0.027 0.027 -4.202E-7 59 0.024 0.024 0.024 -1.949E-7 60 0.022 0.022 0.022 -4.763E-7 ---- EQU SEQ Savings rate equation LOWER LEVEL UPPER MARGINAL 1 . . . -1936.022 2 . . . 861.921 3 . . . 1783.443 4 . . . 1899.058 5 . . . 1704.735 6 . . . 1419.983 7 . . . 1136.677 8 . . . 888.849 9 . . . 684.995 10 . . . 523.047 11 . . . 397.280 12 . . . 300.019 13 . . . 225.500 14 . . . 168.761 15 . . . 125.762 16 . . . 93.321 17 . . . 68.966 18 . . . 50.871 19 . . . 37.751 20 . . . 28.799 21 . . . 22.718 22 . . . 17.073 23 . . . 12.776 24 . . . 9.544 25 . . . 7.128 26 . . . 5.325 27 . . . 3.982 28 . . . 2.980 29 . . . 2.233 30 . . . 1.675 31 . . . 1.258 32 . . . 0.948 33 . . . 0.719 34 . . . 0.554 35 . . . 0.444 36 . . . 0.385 37 . . . 0.389 38 . . . 0.483 39 . . . 0.728 40 . . . 1.247 41 . . . 2.276 42 . . . 2.133 43 . . . 0.149 44 . . . 0.124 45 . . . 0.175 46 . . . 0.300 47 . . . 0.550 48 . . . 0.729 49 . . . 0.611 50 . . . 2.758 51 . . . 0.048 52 . . . 0.039 53 . . . 0.062 54 . . . 0.115 55 . . . 0.623 56 . . . 0.248 57 . . . 0.422 58 . . . 0.152 59 . . . 0.158 60 . . . 0.233 ---- EQU RIEQ Interest rate equation LOWER LEVEL UPPER MARGINAL 1 -0.065 -0.065 -0.065 EPS 2 -0.065 -0.065 -0.065 EPS 3 -0.065 -0.065 -0.065 EPS 4 -0.065 -0.065 -0.065 EPS 5 -0.065 -0.065 -0.065 EPS 6 -0.065 -0.065 -0.065 EPS 7 -0.065 -0.065 -0.065 EPS 8 -0.065 -0.065 -0.065 EPS 9 -0.065 -0.065 -0.065 EPS 10 -0.065 -0.065 -0.065 EPS 11 -0.065 -0.065 -0.065 EPS 12 -0.065 -0.065 -0.065 EPS 13 -0.065 -0.065 -0.065 EPS 14 -0.065 -0.065 -0.065 EPS 15 -0.065 -0.065 -0.065 EPS 16 -0.065 -0.065 -0.065 EPS 17 -0.065 -0.065 -0.065 EPS 18 -0.065 -0.065 -0.065 EPS 19 -0.065 -0.065 -0.065 EPS 20 -0.065 -0.065 -0.065 EPS 21 -0.065 -0.065 -0.065 EPS 22 -0.065 -0.065 -0.065 EPS 23 -0.065 -0.065 -0.065 EPS 24 -0.065 -0.065 -0.065 EPS 25 -0.065 -0.065 -0.065 EPS 26 -0.065 -0.065 -0.065 EPS 27 -0.065 -0.065 -0.065 EPS 28 -0.065 -0.065 -0.065 EPS 29 -0.065 -0.065 -0.065 EPS 30 -0.065 -0.065 -0.065 EPS 31 -0.065 -0.065 -0.065 EPS 32 -0.065 -0.065 -0.065 EPS 33 -0.065 -0.065 -0.065 EPS 34 -0.065 -0.065 -0.065 EPS 35 -0.065 -0.065 -0.065 EPS 36 -0.065 -0.065 -0.065 EPS 37 -0.065 -0.065 -0.065 EPS 38 -0.065 -0.065 -0.065 EPS 39 -0.065 -0.065 -0.065 EPS 40 -0.065 -0.065 -0.065 EPS 41 -0.065 -0.065 -0.065 EPS 42 -0.065 -0.065 -0.065 EPS 43 -0.065 -0.065 -0.065 EPS 44 -0.065 -0.065 -0.065 EPS 45 -0.065 -0.065 -0.065 EPS 46 -0.065 -0.065 -0.065 EPS 47 -0.065 -0.065 -0.065 EPS 48 -0.065 -0.065 -0.065 EPS 49 -0.065 -0.065 -0.065 EPS 50 -0.065 -0.065 -0.065 EPS 51 -0.065 -0.065 -0.065 EPS 52 -0.065 -0.065 -0.065 EPS 53 -0.065 -0.065 -0.065 EPS 54 -0.065 -0.065 -0.065 EPS 55 -0.065 -0.065 -0.065 EPS 56 -0.065 -0.065 -0.065 EPS 57 -0.065 -0.065 -0.065 EPS 58 -0.065 -0.065 -0.065 EPS 59 -0.065 -0.065 -0.065 EPS 60 -0.065 -0.065 -0.065 EPS ---- EQU FORCE Radiative forcing equation LOWER LEVEL UPPER MARGINAL 1 -0.060 -0.060 -0.060 EPS 2 -0.024 -0.024 -0.024 -162.038 3 0.012 0.012 0.012 -147.992 4 0.048 0.048 0.048 -130.476 5 0.084 0.084 0.084 -112.270 6 0.120 0.120 0.120 -94.906 7 0.156 0.156 0.156 -79.147 8 0.192 0.192 0.192 -65.299 9 0.228 0.228 0.228 -53.398 10 0.264 0.264 0.264 -43.336 11 0.300 0.300 0.300 -34.924 12 0.300 0.300 0.300 -27.947 13 0.300 0.300 0.300 -22.234 14 0.300 0.300 0.300 -17.600 15 0.300 0.300 0.300 -13.864 16 0.300 0.300 0.300 -10.868 17 0.300 0.300 0.300 -8.474 18 0.300 0.300 0.300 -6.569 19 0.300 0.300 0.300 -5.057 20 0.300 0.300 0.300 -3.865 21 0.300 0.300 0.300 -2.933 22 0.300 0.300 0.300 -2.215 23 0.300 0.300 0.300 -1.671 24 0.300 0.300 0.300 -1.262 25 0.300 0.300 0.300 -0.954 26 0.300 0.300 0.300 -0.723 27 0.300 0.300 0.300 -0.549 28 0.300 0.300 0.300 -0.418 29 0.300 0.300 0.300 -0.319 30 0.300 0.300 0.300 -0.244 31 0.300 0.300 0.300 -0.186 32 0.300 0.300 0.300 -0.143 33 0.300 0.300 0.300 -0.109 34 0.300 0.300 0.300 -0.084 35 0.300 0.300 0.300 -0.064 36 0.300 0.300 0.300 -0.049 37 0.300 0.300 0.300 -0.038 38 0.300 0.300 0.300 -0.029 39 0.300 0.300 0.300 -0.022 40 0.300 0.300 0.300 -0.016 41 0.300 0.300 0.300 -0.013 42 0.300 0.300 0.300 -0.011 43 0.300 0.300 0.300 -0.010 44 0.300 0.300 0.300 -0.007 45 0.300 0.300 0.300 -0.005 46 0.300 0.300 0.300 -0.004 47 0.300 0.300 0.300 -0.004 48 0.300 0.300 0.300 -0.004 49 0.300 0.300 0.300 -0.003 50 0.300 0.300 0.300 -0.002 51 0.300 0.300 0.300 -0.003 52 0.300 0.300 0.300 -0.003 53 0.300 0.300 0.300 -0.003 54 0.300 0.300 0.300 -0.003 55 0.300 0.300 0.300 -0.004 56 0.300 0.300 0.300 -0.003 57 0.300 0.300 0.300 -0.003 58 0.300 0.300 0.300 -0.002 59 0.300 0.300 0.300 -0.002 60 0.300 0.300 0.300 -0.001 ---- EQU MMAT0 Starting atmospheric concentration LOWER LEVEL UPPER MARGINAL 1 808.900 808.900 808.900 -2.792 ---- EQU MMAT Atmospheric concentration equation LOWER LEVEL UPPER MARGINAL 2 . . . -3.215 3 . . . -3.163 4 . . . -2.598 5 . . . -2.100 6 . . . -1.679 7 . . . -1.330 8 . . . -1.048 9 . . . -0.821 10 . . . -0.641 11 . . . -0.499 12 . . . -0.388 13 . . . -0.301 14 . . . -0.233 15 . . . -0.181 16 . . . -0.140 17 . . . -0.109 18 . . . -0.085 19 . . . -0.066 20 . . . -0.052 21 . . . -0.040 22 . . . -0.031 23 . . . -0.024 24 . . . -0.019 25 . . . -0.015 26 . . . -0.011 27 . . . -0.009 28 . . . -0.007 29 . . . -0.005 30 . . . -0.004 31 . . . -0.003 32 . . . -0.002 33 . . . -0.002 34 . . . -0.001 35 . . . -0.001 36 . . . -9.003E-4 37 . . . -6.980E-4 38 . . . -5.413E-4 39 . . . -4.208E-4 40 . . . -3.294E-4 41 . . . -2.613E-4 42 . . . -2.105E-4 43 . . . -1.676E-4 44 . . . -1.273E-4 45 . . . -9.373E-5 46 . . . -6.818E-5 47 . . . -4.686E-5 48 . . . -2.646E-5 49 . . . -5.551E-6 50 . . . -6.387E-6 51 . . . -3.396E-6 52 . . . -2.962E-5 53 . . . -2.263E-5 54 . . . -1.426E-5 55 . . . -3.100E-6 56 . . . -8.148E-6 57 . . . -3.542E-6 58 . . . -3.161E-6 59 . . . -3.300E-6 60 . . . -3.075E-6 ---- EQU MMATAVEQ Average concentrations equation LOWER LEVEL UPPER MARGINAL 1 . . . EPS 2 . . . -1.003 3 . . . -0.872 4 . . . -0.732 5 . . . -0.600 6 . . . -0.485 7 . . . -0.387 8 . . . -0.307 9 . . . -0.241 10 . . . -0.189 11 . . . -0.148 12 . . . -0.115 13 . . . -0.089 14 . . . -0.069 15 . . . -0.053 16 . . . -0.041 17 . . . -0.032 18 . . . -0.025 19 . . . -0.019 20 . . . -0.015 21 . . . -0.012 22 . . . -0.009 23 . . . -0.007 24 . . . -0.006 25 . . . -0.004 26 . . . -0.003 27 . . . -0.003 28 . . . -0.002 29 . . . -0.002 30 . . . -0.001 31 . . . -9.417E-4 32 . . . -7.315E-4 33 . . . -5.684E-4 34 . . . -4.418E-4 35 . . . -3.432E-4 36 . . . -2.662E-4 37 . . . -2.058E-4 38 . . . -1.583E-4 39 . . . -1.210E-4 40 . . . -9.236E-5 41 . . . -7.258E-5 42 . . . -6.461E-5 43 . . . -5.561E-5 44 . . . -4.105E-5 45 . . . -3.178E-5 46 . . . -2.583E-5 47 . . . -2.288E-5 48 . . . -1.882E-5 49 . . . -1.325E-5 50 . . . -9.017E-6 51 . . . -1.111E-5 52 . . . -1.035E-5 53 . . . -1.114E-5 54 . . . -1.172E-5 55 . . . -1.350E-5 56 . . . -8.148E-6 57 . . . -6.744E-6 58 . . . -3.437E-6 59 . . . -2.640E-6 60 . . . -3.509E-6 ---- EQU MMU0 Initial shallow ocean concentration LOWER LEVEL UPPER MARGINAL 1 1255.000 1255.000 1255.000 -1.148 ---- EQU MMU Shallow ocean concentration LOWER LEVEL UPPER MARGINAL 2 . . . -0.980 3 . . . -0.788 4 . . . -0.627 5 . . . -0.495 6 . . . -0.389 7 . . . -0.305 8 . . . -0.238 9 . . . -0.185 10 . . . -0.144 11 . . . -0.112 12 . . . -0.087 13 . . . -0.067 14 . . . -0.052 15 . . . -0.041 16 . . . -0.032 17 . . . -0.025 18 . . . -0.019 19 . . . -0.015 20 . . . -0.012 21 . . . -0.009 22 . . . -0.007 23 . . . -0.005 24 . . . -0.004 25 . . . -0.003 26 . . . -0.002 27 . . . -0.002 28 . . . -0.002 29 . . . -0.001 30 . . . -9.199E-4 31 . . . -7.144E-4 32 . . . -5.548E-4 33 . . . -4.308E-4 34 . . . -3.345E-4 35 . . . -2.598E-4 36 . . . -2.019E-4 37 . . . -1.571E-4 38 . . . -1.224E-4 39 . . . -9.551E-5 40 . . . -7.441E-5 41 . . . -5.744E-5 42 . . . -4.333E-5 43 . . . -3.169E-5 44 . . . -2.263E-5 45 . . . -1.584E-5 46 . . . -1.080E-5 47 . . . -7.316E-6 48 . . . -5.557E-6 49 . . . -5.878E-6 50 . . . -6.161E-6 51 . . . -6.835E-6 52 . . . -4.637E-6 53 . . . -2.856E-6 54 . . . -1.723E-6 55 . . . -1.667E-6 56 . . . -1.025E-6 57 . . . -7.983E-7 58 . . . -5.757E-7 59 . . . -2.989E-7 60 . . . EPS ---- EQU MML0 Initial lower ocean concentration LOWER LEVEL UPPER MARGINAL 1 18365.000 18365.000 18365.000 -0.014 ---- EQU MML Lower ocean concentration LOWER LEVEL UPPER MARGINAL 2 . . . -0.011 3 . . . -0.009 4 . . . -0.007 5 . . . -0.005 6 . . . -0.004 7 . . . -0.003 8 . . . -0.003 9 . . . -0.002 10 . . . -0.002 11 . . . -0.001 12 . . . -9.332E-4 13 . . . -7.256E-4 14 . . . -5.643E-4 15 . . . -4.388E-4 16 . . . -3.412E-4 17 . . . -2.652E-4 18 . . . -2.059E-4 19 . . . -1.598E-4 20 . . . -1.239E-4 21 . . . -9.604E-5 22 . . . -7.442E-5 23 . . . -5.770E-5 24 . . . -4.476E-5 25 . . . -3.477E-5 26 . . . -2.706E-5 27 . . . -2.099E-5 28 . . . -1.628E-5 29 . . . -1.263E-5 30 . . . -9.791E-6 31 . . . -7.587E-6 32 . . . -5.875E-6 33 . . . -4.546E-6 34 . . . -3.513E-6 35 . . . -2.712E-6 36 . . . -2.089E-6 37 . . . -1.604E-6 38 . . . -1.226E-6 39 . . . -9.310E-7 40 . . . -7.012E-7 41 . . . -5.237E-7 42 . . . -3.898E-7 43 . . . -2.919E-7 44 . . . -2.220E-7 45 . . . -1.731E-7 46 . . . -1.398E-7 47 . . . -1.174E-7 48 . . . -1.004E-7 49 . . . -8.231E-8 50 . . . -6.329E-8 51 . . . -4.211E-8 52 . . . -2.774E-8 53 . . . -1.889E-8 54 . . . -1.356E-8 55 . . . -8.386E-9 56 . . . -5.206E-9 57 . . . -2.725E-9 58 . . . -9.32E-10 59 . . . EPS 60 . . . EPS ---- EQU TATMEQ Temperature-climate equation for atmosphere LOWER LEVEL UPPER MARGINAL 2 . . . -736.538 3 . . . -672.693 4 . . . -593.071 5 . . . -510.319 6 . . . -431.392 7 . . . -359.760 8 . . . -296.812 9 . . . -242.720 10 . . . -196.980 11 . . . -158.746 12 . . . -127.030 13 . . . -101.064 14 . . . -79.998 15 . . . -63.018 16 . . . -49.399 17 . . . -38.519 18 . . . -29.858 19 . . . -22.989 20 . . . -17.568 21 . . . -13.330 22 . . . -10.067 23 . . . -7.596 24 . . . -5.736 25 . . . -4.339 26 . . . -3.288 27 . . . -2.498 28 . . . -1.901 29 . . . -1.449 30 . . . -1.107 31 . . . -0.847 32 . . . -0.649 33 . . . -0.497 34 . . . -0.381 35 . . . -0.292 36 . . . -0.224 37 . . . -0.171 38 . . . -0.130 39 . . . -0.098 40 . . . -0.074 41 . . . -0.058 42 . . . -0.051 43 . . . -0.043 44 . . . -0.032 45 . . . -0.024 46 . . . -0.019 47 . . . -0.017 48 . . . -0.018 49 . . . -0.015 50 . . . -0.011 51 . . . -0.014 52 . . . -0.012 53 . . . -0.012 54 . . . -0.014 55 . . . -0.019 56 . . . -0.013 57 . . . -0.013 58 . . . -0.008 59 . . . -0.007 60 . . . -0.005 ---- EQU TATM0EQ Initial condition for atmospheric temperature LOWER LEVEL UPPER MARGINAL 1 0.731 0.731 0.731 -763.341 ---- EQU TOCEANEQ Temperature-climate equation for lower oceans LOWER LEVEL UPPER MARGINAL 2 . . . -219.446 3 . . . -184.262 4 . . . -152.757 5 . . . -125.343 6 . . . -101.970 7 . . . -82.343 8 . . . -66.056 9 . . . -52.670 10 . . . -41.757 11 . . . -32.926 12 . . . -25.834 13 . . . -20.172 14 . . . -15.676 15 . . . -12.123 16 . . . -9.329 17 . . . -7.144 18 . . . -5.446 19 . . . -4.135 20 . . . -3.132 21 . . . -2.371 22 . . . -1.797 23 . . . -1.363 24 . . . -1.037 25 . . . -0.790 26 . . . -0.603 27 . . . -0.461 28 . . . -0.353 29 . . . -0.271 30 . . . -0.209 31 . . . -0.161 32 . . . -0.124 33 . . . -0.096 34 . . . -0.075 35 . . . -0.058 36 . . . -0.046 37 . . . -0.036 38 . . . -0.029 39 . . . -0.024 40 . . . -0.020 41 . . . -0.017 42 . . . -0.015 43 . . . -0.012 44 . . . -0.011 45 . . . -0.010 46 . . . -0.009 47 . . . -0.008 48 . . . -0.007 49 . . . -0.007 50 . . . -0.006 51 . . . -0.006 52 . . . -0.005 53 . . . -0.005 54 . . . -0.004 55 . . . -0.003 56 . . . -0.002 57 . . . -0.001 58 . . . -7.687E-4 59 . . . -3.305E-4 60 . . . EPS ---- EQU TOCEAN0EQ Initial condition for lower ocean temperature LOWER LEVEL UPPER MARGINAL 1 0.007 0.007 0.007 -257.086 ---- 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 0.005 231.415 2 . 0.158 1.000 . 3 . 0.184 1.000 . 4 . 0.211 1.000 . 5 . 0.241 1.000 . 6 . 0.271 1.000 . 7 . 0.303 1.000 . 8 . 0.337 1.000 . 9 . 0.373 1.000 . 10 . 0.410 1.000 . 11 . 0.450 1.000 . 12 . 0.491 1.000 . 13 . 0.536 1.000 . 14 . 0.583 1.000 . 15 . 0.633 1.000 . 16 . 0.687 1.000 . 17 . 0.744 1.000 . 18 . 0.806 1.000 . 19 . 0.872 1.000 . 20 . 0.943 1.000 . 21 . 1.000 1.000 0.434 22 . 1.000 1.000 1.790 23 . 1.000 1.000 2.507 24 . 1.000 1.000 2.816 25 . 1.000 1.000 2.872 26 . 1.000 1.000 2.773 27 . 1.000 1.000 2.587 28 . 1.000 1.000 2.359 29 . 1.000 1.000 2.115 30 . 1.000 1.000 1.873 31 . 1.000 1.000 1.642 32 . 1.000 1.000 1.428 33 . 1.000 1.000 1.234 34 . 1.000 1.000 1.060 35 . 1.000 1.000 0.905 36 . 1.000 1.000 0.770 37 . 1.000 1.000 0.653 38 . 1.000 1.000 0.555 39 . 1.000 1.000 0.474 40 . 1.000 1.000 0.411 41 . 1.000 1.000 0.364 42 . 1.000 1.000 0.254 43 . 1.000 1.000 0.193 44 . 1.000 1.000 0.173 45 . 1.000 1.000 0.142 46 . 1.000 1.000 0.106 47 . 1.000 1.000 0.061 48 . 0.742 1.000 . 49 . 0.974 1.000 . 50 . 0.770 1.000 . 51 . 1.000 1.000 0.065 52 . 1.000 1.000 0.064 53 . 1.000 1.000 0.043 54 . 0.903 1.000 . 55 . 0.743 1.000 . 56 . 0.606 1.000 . 57 . 0.193 1.000 . 58 . 0.698 1.000 . 59 . 0.405 1.000 . 60 . 0.395 1.000 . ---- VAR FORC Radiative forcing in watts per m2 LOWER LEVEL UPPER MARGINAL 1 -INF 1.791 +INF . 2 -INF 2.142 +INF . 3 -INF 2.453 +INF . 4 -INF 2.758 +INF . 5 -INF 3.056 +INF . 6 -INF 3.342 +INF . 7 -INF 3.615 +INF . 8 -INF 3.873 +INF . 9 -INF 4.118 +INF . 10 -INF 4.347 +INF . 11 -INF 4.560 +INF . 12 -INF 4.720 +INF . 13 -INF 4.861 +INF . 14 -INF 4.980 +INF . 15 -INF 5.076 +INF . 16 -INF 5.142 +INF . 17 -INF 5.174 +INF . 18 -INF 5.164 +INF . 19 -INF 5.102 +INF . 20 -INF 4.977 +INF . 21 -INF 4.785 +INF . 22 -INF 4.581 +INF . 23 -INF 4.411 +INF . 24 -INF 4.266 +INF . 25 -INF 4.140 +INF . 26 -INF 4.027 +INF . 27 -INF 3.925 +INF . 28 -INF 3.831 +INF . 29 -INF 3.742 +INF . 30 -INF 3.658 +INF . 31 -INF 3.578 +INF . 32 -INF 3.501 +INF . 33 -INF 3.427 +INF . 34 -INF 3.354 +INF . 35 -INF 3.284 +INF . 36 -INF 3.216 +INF . 37 -INF 3.149 +INF . 38 -INF 3.084 +INF . 39 -INF 3.021 +INF . 40 -INF 2.959 +INF . 41 -INF 2.898 +INF . 42 -INF 2.839 +INF . 43 -INF 2.782 +INF . 44 -INF 2.726 +INF . 45 -INF 2.671 +INF . 46 -INF 2.617 +INF . 47 -INF 2.565 +INF . 48 -INF 3.794 +INF . 49 -INF 4.717 +INF . 50 -INF 5.100 +INF . 51 -INF 5.327 +INF . 52 -INF 4.928 +INF . 53 -INF 4.613 +INF . 54 -INF 5.227 +INF . 55 -INF 5.985 +INF . 56 -INF 6.772 +INF . 57 -INF 7.874 +INF . 58 -INF 8.608 +INF . 59 -INF 9.420 +INF . 60 -INF 6.110 +INF . ---- VAR TATM Temperature of atmosphere in degrees C LOWER LEVEL UPPER MARGINAL 1 . 0.731 20.000 . 2 . 0.951 20.000 . 3 . 1.165 20.000 . 4 . 1.376 20.000 . 5 . 1.584 20.000 . 6 . 1.786 20.000 . 7 . 1.984 20.000 . 8 . 2.175 20.000 . 9 . 2.360 20.000 . 10 . 2.537 20.000 . 11 . 2.706 20.000 . 12 . 2.858 20.000 . 13 . 2.996 20.000 . 14 . 3.119 20.000 . 15 . 3.227 20.000 . 16 . 3.320 20.000 . 17 . 3.395 20.000 . 18 . 3.448 20.000 . 19 . 3.477 20.000 . 20 . 3.475 20.000 . 21 . 3.437 20.000 . 22 . 3.374 20.000 . 23 . 3.301 20.000 . 24 . 3.226 20.000 . 25 . 3.154 20.000 . 26 . 3.086 20.000 . 27 . 3.023 20.000 . 28 . 2.964 20.000 . 29 . 2.909 20.000 . 30 . 2.857 20.000 . 31 . 2.808 20.000 . 32 . 2.761 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 . 2.234 20.000 . 46 . 2.197 20.000 . 47 . 2.161 20.000 . 48 . 2.408 20.000 . 49 . 2.771 20.000 . 50 . 3.094 20.000 . 51 . 3.357 20.000 . 52 . 3.444 20.000 . 53 . 3.435 20.000 . 54 . 3.567 20.000 . 55 . 3.823 20.000 . 56 . 4.168 20.000 . 57 . 4.640 20.000 . 58 . 5.116 20.000 . 59 . 5.612 20.000 . 60 . 5.217 20.000 . ---- VAR TOCEAN Temperatureof lower oceans degrees C LOWER LEVEL UPPER MARGINAL 1 -1.000 0.007 20.000 . 2 -1.000 0.043 20.000 . 3 -1.000 0.088 20.000 . 4 -1.000 0.142 20.000 . 5 -1.000 0.204 20.000 . 6 -1.000 0.273 20.000 . 7 -1.000 0.349 20.000 . 8 -1.000 0.430 20.000 . 9 -1.000 0.518 20.000 . 10 -1.000 0.610 20.000 . 11 -1.000 0.706 20.000 . 12 -1.000 0.806 20.000 . 13 -1.000 0.909 20.000 . 14 -1.000 1.013 20.000 . 15 -1.000 1.118 20.000 . 16 -1.000 1.224 20.000 . 17 -1.000 1.329 20.000 . 18 -1.000 1.432 20.000 . 19 -1.000 1.533 20.000 . 20 -1.000 1.630 20.000 . 21 -1.000 1.722 20.000 . 22 -1.000 1.808 20.000 . 23 -1.000 1.886 20.000 . 24 -1.000 1.957 20.000 . 25 -1.000 2.020 20.000 . 26 -1.000 2.077 20.000 . 27 -1.000 2.128 20.000 . 28 -1.000 2.172 20.000 . 29 -1.000 2.212 20.000 . 30 -1.000 2.247 20.000 . 31 -1.000 2.277 20.000 . 32 -1.000 2.304 20.000 . 33 -1.000 2.327 20.000 . 34 -1.000 2.346 20.000 . 35 -1.000 2.362 20.000 . 36 -1.000 2.376 20.000 . 37 -1.000 2.386 20.000 . 38 -1.000 2.394 20.000 . 39 -1.000 2.399 20.000 . 40 -1.000 2.403 20.000 . 41 -1.000 2.404 20.000 . 42 -1.000 2.403 20.000 . 43 -1.000 2.400 20.000 . 44 -1.000 2.395 20.000 . 45 -1.000 2.389 20.000 . 46 -1.000 2.381 20.000 . 47 -1.000 2.372 20.000 . 48 -1.000 2.361 20.000 . 49 -1.000 2.364 20.000 . 50 -1.000 2.384 20.000 . 51 -1.000 2.420 20.000 . 52 -1.000 2.467 20.000 . 53 -1.000 2.515 20.000 . 54 -1.000 2.561 20.000 . 55 -1.000 2.612 20.000 . 56 -1.000 2.672 20.000 . 57 -1.000 2.747 20.000 . 58 -1.000 2.842 20.000 . 59 -1.000 2.955 20.000 . 60 -1.000 3.088 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 10.000 907.614 +INF 1.0202E-4 4 10.000 954.046 +INF -6.980E-5 5 10.000 1001.582 +INF 4.5247E-5 6 10.000 1049.506 +INF 5.3427E-6 7 10.000 1097.238 +INF 1.1103E-5 8 10.000 1144.300 +INF -4.104E-6 9 10.000 1190.269 +INF 5.3353E-6 10 10.000 1234.725 +INF 6.1037E-6 11 10.000 1277.207 +INF 9.1833E-6 12 10.000 1317.179 +INF -1.985E-6 13 10.000 1353.967 +INF 3.5068E-5 14 10.000 1386.727 +INF . 15 10.000 1414.429 +INF 6.6002E-6 16 10.000 1435.772 +INF -4.029E-5 17 10.000 1449.125 +INF 4.7790E-8 18 10.000 1452.606 +INF 3.6914E-6 19 10.000 1443.919 +INF 6.3220E-6 20 10.000 1420.352 +INF 2.9406E-5 21 10.000 1378.958 +INF . 22 10.000 1323.964 +INF . 23 10.000 1280.208 +INF . 24 10.000 1244.437 +INF . 25 10.000 1214.386 +INF . 26 10.000 1188.479 +INF . 27 10.000 1165.614 +INF . 28 10.000 1145.022 +INF . 29 10.000 1126.165 +INF . 30 10.000 1108.664 +INF . 31 10.000 1092.250 +INF . 32 10.000 1076.732 +INF . 33 10.000 1061.974 +INF . 34 10.000 1047.876 +INF . 35 10.000 1034.365 +INF . 36 10.000 1021.386 +INF . 37 10.000 1008.896 +INF . 38 10.000 996.863 +INF . 39 10.000 985.259 +INF . 40 10.000 974.062 +INF . 41 10.000 963.253 +INF . 42 10.000 952.815 +INF . 43 10.000 942.733 +INF . 44 10.000 932.994 +INF . 45 10.000 923.585 +INF . 46 10.000 914.494 +INF . 47 10.000 905.710 +INF . 48 10.000 897.222 +INF . 49 10.000 1358.932 +INF -1.683E-5 50 10.000 1310.910 +INF -8.794E-6 51 10.000 1552.253 +INF -3.156E-5 52 10.000 1431.646 +INF . 53 10.000 1342.959 +INF . 54 10.000 1276.602 +INF . 55 10.000 1653.674 +INF -1.631E-5 56 10.000 1710.659 +INF -5.701E-6 57 10.000 2173.335 +INF -6.576E-6 58 10.000 2575.180 +INF -4.661E-6 59 10.000 2853.408 +INF -2.231E-6 60 10.000 3441.927 +INF . ---- VAR MATAV Average concentrations LOWER LEVEL UPPER MARGINAL 1 . 836.004 +INF . 2 . 885.361 +INF . 3 . 930.830 +INF . 4 . 977.814 +INF . 5 . 1025.544 +INF . 6 . 1073.372 +INF . 7 . 1120.769 +INF . 8 . 1167.285 +INF . 9 . 1212.497 +INF . 10 . 1255.966 +INF . 11 . 1297.193 +INF . 12 . 1335.573 +INF . 13 . 1370.347 +INF . 14 . 1400.578 +INF . 15 . 1425.101 +INF . 16 . 1442.449 +INF . 17 . 1450.866 +INF . 18 . 1448.262 +INF . 19 . 1432.135 +INF . 20 . 1399.655 +INF . 21 . 1351.461 +INF . 22 . 1302.086 +INF . 23 . 1262.323 +INF . 24 . 1229.412 +INF . 25 . 1201.433 +INF . 26 . 1177.046 +INF . 27 . 1155.318 +INF . 28 . 1135.594 +INF . 29 . 1117.415 +INF . 30 . 1100.457 +INF . 31 . 1084.491 +INF . 32 . 1069.353 +INF . 33 . 1054.925 +INF . 34 . 1041.120 +INF . 35 . 1027.875 +INF . 36 . 1015.141 +INF . 37 . 1002.879 +INF . 38 . 991.061 +INF . 39 . 979.660 +INF . 40 . 968.657 +INF . 41 . 958.034 +INF . 42 . 947.774 +INF . 43 . 937.863 +INF . 44 . 928.289 +INF . 45 . 919.039 +INF . 46 . 910.102 +INF . 47 . 901.466 +INF . 48 . 1128.077 +INF . 49 . 1334.921 +INF . 50 . 1431.582 +INF . 51 . 1491.950 +INF . 52 . 1387.303 +INF . 53 . 1309.780 +INF . 54 . 1465.138 +INF . 55 . 1682.167 +INF . 56 . 1941.997 +INF . 57 . 2374.258 +INF . 58 . 2714.294 +INF . 59 . 3147.668 +INF . 60 . 1720.964 +INF . ---- VAR MU Carbon concentration in shallow oceans Gtc LOWER LEVEL UPPER MARGINAL 1 100.000 1255.000 +INF . 2 100.000 1280.635 +INF . 3 100.000 1312.775 +INF . 4 100.000 1348.628 +INF . 5 100.000 1388.018 +INF . 6 100.000 1430.639 +INF . 7 100.000 1476.095 +INF . 8 100.000 1523.938 +INF . 9 100.000 1573.698 +INF . 10 100.000 1624.891 +INF . 11 100.000 1677.030 +INF . 12 100.000 1729.607 +INF . 13 100.000 1782.093 +INF . 14 100.000 1833.904 +INF . 15 100.000 1884.388 +INF . 16 100.000 1932.788 +INF . 17 100.000 1978.215 +INF . 18 100.000 2019.603 +INF . 19 100.000 2055.683 +INF . 20 100.000 2084.940 +INF . 21 100.000 2105.567 +INF . 22 100.000 2115.464 +INF . 23 100.000 2113.640 +INF . 24 100.000 2103.947 +INF . 25 100.000 2089.055 +INF . 26 100.000 2070.811 +INF -3.623E-5 27 100.000 2050.489 +INF . 28 100.000 2028.967 +INF . 29 100.000 2006.850 +INF . 30 100.000 1984.549 +INF . 31 100.000 1962.344 +INF . 32 100.000 1940.423 +INF . 33 100.000 1918.910 +INF . 34 100.000 1897.885 +INF . 35 100.000 1877.397 +INF . 36 100.000 1857.475 +INF . 37 100.000 1838.132 +INF . 38 100.000 1819.373 +INF . 39 100.000 1801.195 +INF . 40 100.000 1783.589 +INF . 41 100.000 1766.547 +INF . 42 100.000 1750.054 +INF . 43 100.000 1734.099 +INF . 44 100.000 1718.665 +INF . 45 100.000 1703.739 +INF . 46 100.000 1689.306 +INF . 47 100.000 1675.350 +INF . 48 100.000 1661.857 +INF . 49 100.000 1648.813 +INF . 50 100.000 1725.151 +INF . 51 100.000 1781.226 +INF . 52 100.000 1874.805 +INF . 53 100.000 1931.863 +INF . 54 100.000 1963.833 +INF . 55 100.000 1978.643 +INF . 56 100.000 2062.761 +INF . 57 100.000 2145.395 +INF . 58 100.000 2303.571 +INF . 59 100.000 2514.664 +INF . 60 100.000 2747.511 +INF . ---- VAR ML Carbon concentration in lower oceans GtC LOWER LEVEL UPPER MARGINAL 1 1000.000 18365.000 +INF . 2 1000.000 18370.477 +INF . 3 1000.000 18377.219 +INF . 4 1000.000 18385.547 +INF . 5 1000.000 18395.642 +INF . 6 1000.000 18407.675 +INF . 7 1000.000 18421.801 +INF . 8 1000.000 18438.156 +INF . 9 1000.000 18456.852 +INF . 10 1000.000 18477.978 +INF . 11 1000.000 18501.597 +INF . 12 1000.000 18527.750 +INF . 13 1000.000 18556.450 +INF . 14 1000.000 18587.685 +INF . 15 1000.000 18621.413 +INF . 16 1000.000 18657.560 +INF . 17 1000.000 18696.015 +INF . 18 1000.000 18736.620 +INF . 19 1000.000 18779.169 +INF . 20 1000.000 18823.389 +INF . 21 1000.000 18868.934 +INF . 22 1000.000 18915.368 +INF . 23 1000.000 18962.152 +INF . 24 1000.000 19008.699 +INF . 25 1000.000 19054.616 +INF . 26 1000.000 19099.646 +INF . 27 1000.000 19143.623 +INF . 28 1000.000 19186.446 +INF . 29 1000.000 19228.060 +INF . 30 1000.000 19268.439 +INF . 31 1000.000 19307.576 +INF . 32 1000.000 19345.481 +INF . 33 1000.000 19382.172 +INF . 34 1000.000 19417.672 +INF . 35 1000.000 19452.011 +INF . 36 1000.000 19485.218 +INF . 37 1000.000 19517.326 +INF . 38 1000.000 19548.366 +INF . 39 1000.000 19578.372 +INF . 40 1000.000 19607.375 +INF . 41 1000.000 19635.407 +INF . 42 1000.000 19662.500 +INF . 43 1000.000 19688.684 +INF . 44 1000.000 19713.988 +INF . 45 1000.000 19738.442 +INF . 46 1000.000 19762.073 +INF . 47 1000.000 19784.909 +INF . 48 1000.000 19806.975 +INF . 49 1000.000 19828.299 +INF . 50 1000.000 19848.903 +INF . 51 1000.000 19873.260 +INF . 52 1000.000 19900.345 +INF . 53 1000.000 19932.025 +INF . 54 1000.000 19966.459 +INF . 55 1000.000 20002.383 +INF . 56 1000.000 20038.936 +INF . 57 1000.000 20079.582 +INF . 58 1000.000 20124.232 +INF . 59 1000.000 20176.651 +INF . 60 1000.000 20239.462 +INF . ---- VAR E CO2-equivalent emissions GtC LOWER LEVEL UPPER MARGINAL 1 . 85.320 +INF . 2 . 83.388 +INF . 3 . 90.613 +INF . 4 . 97.021 +INF . 5 . 102.578 +INF . 6 . 107.314 +INF . 7 . 111.260 +INF . 8 . 114.424 +INF . 9 . 116.775 +INF . 10 . 118.240 +INF . 11 . 118.702 +INF . 12 . 117.974 +INF . 13 . 115.807 +INF 4.1350E-5 14 . 111.913 +INF . 15 . 105.890 +INF . 16 . 97.235 +INF . 17 . 85.474 +INF . 18 . 69.941 +INF . 19 . 49.910 +INF . 20 . 24.778 +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 . 0.096 +INF . 47 . 0.086 +INF . 48 . 469.988 +INF . 49 . 48.921 +INF . 50 . 321.776 +INF . 51 . 0.057 +INF . 52 . 0.051 +INF . 53 . 0.046 +INF . 54 . 427.807 +INF . 55 . 177.656 +INF . 56 . 585.956 +INF . 57 . 604.670 +INF . 58 . 541.742 +INF . 59 . 884.176 +INF . 60 . 512.245 +INF 4.7626E-7 ---- VAR C Consumption trillions US dollars LOWER LEVEL UPPER MARGINAL 1 20.000 43.354 +INF . 2 20.000 54.199 +INF . 3 20.000 66.322 +INF . 4 20.000 79.624 +INF . 5 20.000 94.141 +INF . 6 20.000 109.993 +INF . 7 20.000 127.359 +INF . 8 20.000 146.451 +INF . 9 20.000 167.506 +INF . 10 20.000 190.785 +INF . 11 20.000 216.565 +INF . 12 20.000 245.179 +INF . 13 20.000 276.959 +INF . 14 20.000 312.266 +INF . 15 20.000 351.489 +INF . 16 20.000 395.053 +INF . 17 20.000 443.430 +INF . 18 20.000 497.143 +INF . 19 20.000 556.781 +INF . 20 20.000 623.027 +INF . 21 20.000 697.088 +INF . 22 20.000 781.237 +INF . 23 20.000 875.183 +INF . 24 20.000 979.592 +INF . 25 20.000 1095.260 +INF . 26 20.000 1223.108 +INF . 27 20.000 1364.169 +INF . 28 20.000 1519.584 +INF . 29 20.000 1690.603 +INF . 30 20.000 1878.577 +INF . 31 20.000 2084.967 +INF . 32 20.000 2311.340 +INF . 33 20.000 2559.375 +INF . 34 20.000 2830.869 +INF . 35 20.000 3127.737 +INF . 36 20.000 3452.022 +INF . 37 20.000 3805.901 +INF . 38 20.000 4191.686 +INF . 39 20.000 4611.835 +INF . 40 20.000 5068.956 +INF . 41 20.000 5565.815 +INF . 42 20.000 5118.319 +INF . 43 20.000 5415.502 +INF . 44 20.000 6607.391 +INF . 45 20.000 7605.230 +INF . 46 20.000 8523.544 +INF . 47 20.000 9425.994 +INF . 48 20.000 6125.023 +INF . 49 20.000 6304.413 +INF . 50 20.000 4812.454 +INF . 51 20.000 8991.059 +INF . 52 20.000 11913.479 +INF . 53 20.000 14117.987 +INF . 54 20.000 15947.805 +INF . 55 20.000 2527.213 +INF . 56 20.000 5480.631 +INF . 57 20.000 2773.291 +INF . 58 20.000 6636.960 +INF . 59 20.000 5489.690 +INF . 60 20.000 3205.779 +INF . ---- VAR K Capital stock trillions US dollars LOWER LEVEL UPPER MARGINAL 1 100.000 137.000 +INF . 2 100.000 170.053 +INF . 3 100.000 212.167 +INF . 4 100.000 261.043 +INF . 5 100.000 315.604 +INF . 6 100.000 375.572 +INF . 7 100.000 441.194 +INF . 8 100.000 513.056 +INF . 9 100.000 591.961 +INF . 10 100.000 678.860 +INF . 11 100.000 774.818 +INF . 12 100.000 880.990 +INF . 13 100.000 998.714 +INF . 14 100.000 1129.399 +INF . 15 100.000 1274.550 +INF . 16 100.000 1435.790 +INF . 17 100.000 1614.884 +INF . 18 100.000 1813.778 +INF . 19 100.000 2034.626 +INF . 20 100.000 2279.841 +INF . 21 100.000 2552.189 +INF . 22 100.000 2856.043 +INF . 23 100.000 3199.331 +INF . 24 100.000 3584.005 +INF . 25 100.000 4012.619 +INF . 26 100.000 4488.313 +INF . 27 100.000 5014.774 +INF . 28 100.000 5596.202 +INF . 29 100.000 6237.285 +INF . 30 100.000 6943.176 +INF . 31 100.000 7719.490 +INF . 32 100.000 8572.299 +INF . 33 100.000 9508.143 +INF . 34 100.000 10534.039 +INF . 35 100.000 11657.496 +INF . 36 100.000 12886.541 +INF . 37 100.000 14229.735 +INF . 38 100.000 15696.197 +INF . 39 100.000 17295.633 +INF . 40 100.000 19038.357 +INF . 41 100.000 20935.324 +INF . 42 100.000 12776.687 +INF 3.9057E-5 43 100.000 12473.289 +INF 4.8959E-5 44 100.000 19623.664 +INF . 45 100.000 25478.582 +INF . 46 100.000 30334.484 +INF . 47 100.000 34617.748 +INF . 48 100.000 6740.867 +INF 2.5264E-5 49 100.000 6251.279 +INF 2.2848E-5 50 100.000 2110.576 +INF . 51 100.000 14309.504 +INF 7.2586E-6 52 100.000 30348.816 +INF . 53 100.000 44184.102 +INF . 54 100.000 55226.009 +INF . 55 100.000 100.000 +INF 0.001 56 100.000 1123.067 +INF . 57 100.000 100.000 +INF 9.8654E-4 58 100.000 1603.974 +INF . 59 100.000 743.953 +INF . 60 100.000 100.000 +INF 5.4555E-4 ---- VAR CPC Per capita consumption thousands US dollars LOWER LEVEL UPPER MARGINAL 1 -INF 6.656 +INF . 2 -INF 7.602 +INF . 3 -INF 8.768 +INF . 4 -INF 10.117 +INF . 5 -INF 11.643 +INF . 6 -INF 13.353 +INF . 7 -INF 15.263 +INF . 8 -INF 17.393 +INF . 9 -INF 19.769 +INF . 10 -INF 22.417 +INF . 11 -INF 25.368 +INF . 12 -INF 28.657 +INF . 13 -INF 32.322 +INF . 14 -INF 36.403 +INF . 15 -INF 40.945 +INF . 16 -INF 45.995 +INF . 17 -INF 51.608 +INF . 18 -INF 57.844 +INF . 19 -INF 64.771 +INF . 20 -INF 72.468 +INF . 21 -INF 81.075 +INF . 22 -INF 90.856 +INF . 23 -INF 101.777 +INF . 24 -INF 113.915 +INF . 25 -INF 127.363 +INF . 26 -INF 142.227 +INF . 27 -INF 158.629 +INF . 28 -INF 176.699 +INF . 29 -INF 196.584 +INF . 30 -INF 218.441 +INF . 31 -INF 242.440 +INF . 32 -INF 268.762 +INF . 33 -INF 297.603 +INF . 34 -INF 329.172 +INF . 35 -INF 363.691 +INF . 36 -INF 401.398 +INF . 37 -INF 442.547 +INF . 38 -INF 487.406 +INF . 39 -INF 536.260 +INF . 40 -INF 589.414 +INF . 41 -INF 647.188 +INF . 42 -INF 595.154 +INF . 43 -INF 629.710 +INF . 44 -INF 768.301 +INF . 45 -INF 884.329 +INF . 46 -INF 991.110 +INF . 47 -INF 1096.046 +INF . 48 -INF 712.212 +INF . 49 -INF 733.071 +INF . 50 -INF 559.588 +INF . 51 -INF 1045.472 +INF . 52 -INF 1385.288 +INF . 53 -INF 1641.626 +INF . 54 -INF 1854.396 +INF . 55 -INF 293.862 +INF . 56 -INF 637.283 +INF . 57 -INF 322.476 +INF . 58 -INF 771.740 +INF . 59 -INF 638.336 +INF . 60 -INF 372.765 +INF . ---- VAR PCY Per capita income thousands US dollars LOWER LEVEL UPPER MARGINAL 1 -INF 8.533 +INF . 2 -INF 9.746 +INF . 3 -INF 11.241 +INF . 4 -INF 12.971 +INF . 5 -INF 14.927 +INF . 6 -INF 17.119 +INF . 7 -INF 19.567 +INF . 8 -INF 22.299 +INF . 9 -INF 25.345 +INF . 10 -INF 28.740 +INF . 11 -INF 32.523 +INF . 12 -INF 36.740 +INF . 13 -INF 41.439 +INF . 14 -INF 46.671 +INF . 15 -INF 52.493 +INF . 16 -INF 58.968 +INF . 17 -INF 66.164 +INF . 18 -INF 74.159 +INF . 19 -INF 83.040 +INF . 20 -INF 92.907 +INF . 21 -INF 103.942 +INF . 22 -INF 116.482 +INF . 23 -INF 130.483 +INF . 24 -INF 146.045 +INF . 25 -INF 163.286 +INF . 26 -INF 182.343 +INF . 27 -INF 203.370 +INF . 28 -INF 226.537 +INF . 29 -INF 252.031 +INF . 30 -INF 280.053 +INF . 31 -INF 310.820 +INF . 32 -INF 344.566 +INF . 33 -INF 381.542 +INF . 34 -INF 422.015 +INF . 35 -INF 466.270 +INF . 36 -INF 514.613 +INF . 37 -INF 567.368 +INF . 38 -INF 624.879 +INF . 39 -INF 687.513 +INF . 40 -INF 755.659 +INF . 41 -INF 829.728 +INF . 42 -INF 763.017 +INF . 43 -INF 807.320 +INF . 44 -INF 985.002 +INF . 45 -INF 1133.755 +INF . 46 -INF 1270.654 +INF . 47 -INF 1405.187 +INF . 48 -INF 913.092 +INF . 49 -INF 939.835 +INF . 50 -INF 717.420 +INF . 51 -INF 1340.349 +INF . 52 -INF 1776.011 +INF . 53 -INF 2104.649 +INF . 54 -INF 2377.431 +INF . 55 -INF 376.746 +INF . 56 -INF 817.029 +INF . 57 -INF 413.430 +INF . 58 -INF 989.410 +INF . 59 -INF 818.380 +INF . 60 -INF 477.904 +INF . ---- VAR I Investment trillions US dollars LOWER LEVEL UPPER MARGINAL 1 . 12.228 +INF . 2 . 15.287 +INF . 3 . 18.707 +INF . 4 . 22.458 +INF . 5 . 26.553 +INF . 6 . 31.024 +INF . 7 . 35.922 +INF . 8 . 41.307 +INF . 9 . 47.246 +INF . 10 . 53.811 +INF . 11 . 61.083 +INF . 12 . 69.153 +INF . 13 . 78.117 +INF . 14 . 88.075 +INF . 15 . 99.138 +INF . 16 . 111.425 +INF . 17 . 125.070 +INF . 18 . 140.220 +INF . 19 . 157.041 +INF . 20 . 175.726 +INF . 21 . 196.615 +INF . 22 . 220.349 +INF . 23 . 246.847 +INF . 24 . 276.295 +INF . 25 . 308.920 +INF . 26 . 344.980 +INF . 27 . 384.766 +INF . 28 . 428.601 +INF . 29 . 476.837 +INF . 30 . 529.855 +INF . 31 . 588.068 +INF . 32 . 651.917 +INF . 33 . 721.875 +INF . 34 . 798.450 +INF . 35 . 882.182 +INF . 36 . 973.648 +INF . 37 . 1073.460 +INF . 38 . 1182.271 +INF . 39 . 1300.774 +INF . 40 . 1429.706 +INF . 41 . 1569.845 +INF . 42 . 1443.629 +INF . 43 . 1527.450 +INF . 44 . 1863.623 +INF . 45 . 2145.065 +INF . 46 . 2404.077 +INF . 47 . 2658.614 +INF . 48 . 1727.571 +INF . 49 . 1778.168 +INF . 50 . 1357.359 +INF . 51 . 2535.940 +INF . 52 . 3360.212 +INF . 53 . 3981.996 +INF . 54 . 4498.099 +INF . 55 . 712.804 +INF . 56 . 1545.819 +INF . 57 . 782.211 +INF . 58 . 1871.963 +INF . 59 . 1548.374 +INF . 60 . 904.194 +INF . ---- VAR S Gross savings rate as fraction of gross world product LOWER LEVEL UPPER MARGINAL 1 0.220 0.220 0.220 1936.022 2 0.220 0.220 0.220 -861.921 3 0.220 0.220 0.220 -1783.443 4 0.220 0.220 0.220 -1899.058 5 0.220 0.220 0.220 -1704.735 6 0.220 0.220 0.220 -1419.983 7 0.220 0.220 0.220 -1136.677 8 0.220 0.220 0.220 -888.849 9 0.220 0.220 0.220 -684.995 10 0.220 0.220 0.220 -523.047 11 0.220 0.220 0.220 -397.280 12 0.220 0.220 0.220 -300.019 13 0.220 0.220 0.220 -225.500 14 0.220 0.220 0.220 -168.761 15 0.220 0.220 0.220 -125.762 16 0.220 0.220 0.220 -93.321 17 0.220 0.220 0.220 -68.966 18 0.220 0.220 0.220 -50.871 19 0.220 0.220 0.220 -37.751 20 0.220 0.220 0.220 -28.799 21 0.220 0.220 0.220 -22.718 22 0.220 0.220 0.220 -17.073 23 0.220 0.220 0.220 -12.776 24 0.220 0.220 0.220 -9.544 25 0.220 0.220 0.220 -7.128 26 0.220 0.220 0.220 -5.325 27 0.220 0.220 0.220 -3.982 28 0.220 0.220 0.220 -2.980 29 0.220 0.220 0.220 -2.233 30 0.220 0.220 0.220 -1.675 31 0.220 0.220 0.220 -1.258 32 0.220 0.220 0.220 -0.948 33 0.220 0.220 0.220 -0.719 34 0.220 0.220 0.220 -0.554 35 0.220 0.220 0.220 -0.444 36 0.220 0.220 0.220 -0.385 37 0.220 0.220 0.220 -0.389 38 0.220 0.220 0.220 -0.483 39 0.220 0.220 0.220 -0.728 40 0.220 0.220 0.220 -1.247 41 0.220 0.220 0.220 -2.276 42 0.220 0.220 0.220 -2.133 43 0.220 0.220 0.220 -0.149 44 0.220 0.220 0.220 -0.124 45 0.220 0.220 0.220 -0.175 46 0.220 0.220 0.220 -0.300 47 0.220 0.220 0.220 -0.550 48 0.220 0.220 0.220 -0.729 49 0.220 0.220 0.220 -0.611 50 0.220 0.220 0.220 -2.758 51 0.220 0.220 0.220 -0.048 52 0.220 0.220 0.220 -0.039 53 0.220 0.220 0.220 -0.062 54 0.220 0.220 0.220 -0.115 55 0.220 0.220 0.220 -0.623 56 0.220 0.220 0.220 -0.248 57 0.220 0.220 0.220 -0.422 58 0.220 0.220 0.220 -0.152 59 0.220 0.220 0.220 -0.158 60 0.220 0.220 0.220 -0.233 ---- VAR RI Real interest rate per annum LOWER LEVEL UPPER MARGINAL 1 -INF 0.057 +INF . 2 -INF 0.057 +INF . 3 -INF 0.055 +INF . 4 -INF 0.052 +INF . 5 -INF 0.050 +INF . 6 -INF 0.048 +INF . 7 -INF 0.046 +INF . 8 -INF 0.045 +INF . 9 -INF 0.044 +INF . 10 -INF 0.043 +INF . 11 -INF 0.042 +INF . 12 -INF 0.042 +INF . 13 -INF 0.042 +INF . 14 -INF 0.041 +INF . 15 -INF 0.041 +INF . 16 -INF 0.041 +INF . 17 -INF 0.040 +INF . 18 -INF 0.040 +INF . 19 -INF 0.040 +INF . 20 -INF 0.040 +INF . 21 -INF 0.040 +INF . 22 -INF 0.040 +INF . 23 -INF 0.040 +INF . 24 -INF 0.040 +INF . 25 -INF 0.040 +INF . 26 -INF 0.040 +INF . 27 -INF 0.039 +INF . 28 -INF 0.039 +INF . 29 -INF 0.039 +INF . 30 -INF 0.039 +INF . 31 -INF 0.039 +INF . 32 -INF 0.039 +INF . 33 -INF 0.038 +INF . 34 -INF 0.038 +INF . 35 -INF 0.038 +INF . 36 -INF 0.038 +INF . 37 -INF 0.038 +INF . 38 -INF 0.038 +INF . 39 -INF 0.037 +INF . 40 -INF 0.037 +INF . 41 -INF 0.037 +INF . 42 -INF 0.089 +INF . 43 -INF 0.102 +INF . 44 -INF 0.064 +INF . 45 -INF 0.050 +INF . 46 -INF 0.043 +INF . 47 -INF 0.040 +INF . 48 -INF 0.284 +INF . 49 -INF 0.323 +INF . 50 -INF 0.812 +INF . 51 -INF 0.177 +INF . 52 -INF 0.086 +INF . 53 -INF 0.058 +INF . 54 -INF 0.046 +INF . 55 -INF 9.655 +INF . 56 -INF 1.812 +INF . 57 -INF 10.601 +INF . 58 -INF 1.526 +INF . 59 -INF 2.773 +INF . 60 -INF 12.265 +INF . ---- VAR Y Gross world product net of abatement and damages LOWER LEVEL UPPER MARGINAL 1 . 55.583 +INF . 2 . 69.487 +INF . 3 . 85.029 +INF . 4 . 102.082 +INF . 5 . 120.693 +INF . 6 . 141.017 +INF . 7 . 163.281 +INF . 8 . 187.758 +INF . 9 . 214.752 +INF . 10 . 244.596 +INF . 11 . 277.648 +INF . 12 . 314.332 +INF . 13 . 355.076 +INF . 14 . 400.341 +INF . 15 . 450.627 +INF . 16 . 506.478 +INF . 17 . 568.500 +INF . 18 . 637.363 +INF . 19 . 713.822 +INF . 20 . 798.752 +INF . 21 . 893.703 +INF . 22 . 1001.586 +INF . 23 . 1122.029 +INF . 24 . 1255.887 +INF . 25 . 1404.180 +INF . 26 . 1568.088 +INF . 27 . 1748.935 +INF . 28 . 1948.185 +INF . 29 . 2167.440 +INF . 30 . 2408.433 +INF . 31 . 2673.035 +INF . 32 . 2963.257 +INF . 33 . 3281.251 +INF . 34 . 3629.319 +INF . 35 . 4009.919 +INF . 36 . 4425.670 +INF . 37 . 4879.361 +INF . 38 . 5373.957 +INF . 39 . 5912.610 +INF . 40 . 6498.662 +INF . 41 . 7135.660 +INF . 42 . 6561.948 +INF . 43 . 6942.952 +INF . 44 . 8471.014 +INF . 45 . 9750.295 +INF . 46 . 10927.621 +INF . 47 . 12084.608 +INF . 48 . 7852.594 +INF . 49 . 8082.580 +INF . 50 . 6169.813 +INF . 51 . 11526.999 +INF . 52 . 15273.692 +INF . 53 . 18099.983 +INF . 54 . 20445.904 +INF . 55 . 3240.017 +INF . 56 . 7026.451 +INF . 57 . 3555.501 +INF . 58 . 8508.924 +INF . 59 . 7038.064 +INF . 60 . 4109.973 +INF . ---- VAR YGROSS Gross world product GROSS of abatement and damages LOWER LEVEL UPPER MARGINAL 1 . 55.667 +INF . 2 . 69.685 +INF . 3 . 85.391 +INF . 4 . 102.688 +INF . 5 . 121.641 +INF . 6 . 142.428 +INF . 7 . 165.301 +INF . 8 . 190.559 +INF . 9 . 218.540 +INF . 10 . 249.611 +INF . 11 . 284.167 +INF . 12 . 322.636 +INF . 13 . 365.489 +INF . 14 . 413.228 +INF . 15 . 466.398 +INF . 16 . 525.584 +INF . 17 . 591.425 +INF . 18 . 664.613 +INF . 19 . 745.907 +INF . 20 . 836.135 +INF . 21 . 936.208 +INF . 22 . 1047.268 +INF . 23 . 1170.897 +INF . 24 . 1308.071 +INF . 25 . 1459.896 +INF . 26 . 1627.603 +INF . 27 . 1812.552 +INF . 28 . 2016.231 +INF . 29 . 2240.255 +INF . 30 . 2486.372 +INF . 31 . 2756.461 +INF . 32 . 3052.541 +INF . 33 . 3376.774 +INF . 34 . 3731.470 +INF . 35 . 4119.096 +INF . 36 . 4542.283 +INF . 37 . 5003.829 +INF . 38 . 5506.712 +INF . 39 . 6054.096 +INF . 40 . 6649.337 +INF . 41 . 7295.995 +INF . 42 . 6704.869 +INF . 43 . 7089.561 +INF . 44 . 8644.470 +INF . 45 . 9943.936 +INF . 46 . 11138.152 +INF . 47 . 12310.512 +INF . 48 . 7999.932 +INF . 49 . 8298.144 +INF . 50 . 6352.809 +INF . 51 . 11954.386 +INF . 52 . 15864.223 +INF . 53 . 18794.777 +INF . 54 . 21258.319 +INF . 55 . 3381.149 +INF . 56 . 7381.034 +INF 2.6125E-5 57 . 3772.957 +INF . 58 . 9155.569 +INF 1.2914E-5 59 . 7669.985 +INF 1.6067E-5 60 . 4428.925 +INF . ---- VAR YNET Output net of damages equation LOWER LEVEL UPPER MARGINAL 1 -INF 55.583 +INF . 2 -INF 69.507 +INF . 3 -INF 85.063 +INF . 4 -INF 102.139 +INF . 5 -INF 120.781 +INF . 6 -INF 141.149 +INF . 7 -INF 163.474 +INF . 8 -INF 188.034 +INF . 9 -INF 215.139 +INF . 10 -INF 245.132 +INF . 11 -INF 278.380 +INF . 12 -INF 315.323 +INF . 13 -INF 356.409 +INF . 14 -INF 402.125 +INF . 15 -INF 453.003 +INF . 16 -INF 509.637 +INF . 17 -INF 572.690 +INF . 18 -INF 642.910 +INF . 19 -INF 721.159 +INF . 20 -INF 808.428 +INF . 21 -INF 905.828 +INF . 22 -INF 1014.486 +INF . 23 -INF 1135.770 +INF . 24 -INF 1270.535 +INF . 25 -INF 1419.802 +INF . 26 -INF 1584.753 +INF . 27 -INF 1766.717 +INF . 28 -INF 1967.162 +INF . 29 -INF 2187.693 +INF . 30 -INF 2430.052 +INF . 31 -INF 2696.114 +INF . 32 -INF 2987.896 +INF . 33 -INF 3307.558 +INF . 34 -INF 3657.408 +INF . 35 -INF 4039.913 +INF . 36 -INF 4457.698 +INF . 37 -INF 4913.561 +INF . 38 -INF 5410.477 +INF . 39 -INF 5951.606 +INF . 40 -INF 6540.301 +INF . 41 -INF 7180.117 +INF . 42 -INF 6601.737 +INF . 43 -INF 6983.961 +INF . 44 -INF 8519.795 +INF . 45 -INF 9805.081 +INF . 46 -INF 10987.580 +INF . 47 -INF 12149.410 +INF . 48 -INF 7870.422 +INF . 49 -INF 8121.072 +INF . 50 -INF 6184.706 +INF . 51 -INF 11583.791 +INF . 52 -INF 15347.490 +INF . 53 -INF 18185.804 +INF . 54 -INF 20517.329 +INF . 55 -INF 3246.446 +INF . 56 -INF 7034.192 +INF . 57 -INF 3555.659 +INF . 58 -INF 8522.437 +INF . 59 -INF 7040.450 +INF . 60 -INF 4111.259 +INF . ---- VAR DAMAGES Damages LOWER LEVEL UPPER MARGINAL 1 -INF 0.084 +INF . 2 -INF 0.178 +INF . 3 -INF 0.328 +INF . 4 -INF 0.549 +INF . 5 -INF 0.860 +INF . 6 -INF 1.279 +INF . 7 -INF 1.827 +INF . 8 -INF 2.526 +INF . 9 -INF 3.401 +INF . 10 -INF 4.479 +INF . 11 -INF 5.787 +INF . 12 -INF 7.313 +INF . 13 -INF 9.080 +INF . 14 -INF 11.104 +INF . 15 -INF 13.394 +INF . 16 -INF 15.947 +INF . 17 -INF 18.735 +INF . 18 -INF 21.703 +INF . 19 -INF 24.749 +INF . 20 -INF 27.706 +INF . 21 -INF 30.380 +INF . 22 -INF 32.783 +INF . 23 -INF 35.126 +INF . 24 -INF 37.536 +INF . 25 -INF 40.094 +INF . 26 -INF 42.849 +INF . 27 -INF 45.835 +INF . 28 -INF 49.069 +INF . 29 -INF 52.562 +INF . 30 -INF 56.320 +INF . 31 -INF 60.347 +INF . 32 -INF 64.645 +INF . 33 -INF 69.216 +INF . 34 -INF 74.061 +INF . 35 -INF 79.184 +INF . 36 -INF 84.585 +INF . 37 -INF 90.267 +INF . 38 -INF 96.235 +INF . 39 -INF 102.490 +INF . 40 -INF 109.037 +INF . 41 -INF 115.879 +INF . 42 -INF 103.132 +INF . 43 -INF 105.600 +INF . 44 -INF 124.675 +INF . 45 -INF 138.855 +INF . 46 -INF 150.572 +INF . 47 -INF 161.102 +INF . 48 -INF 129.510 +INF . 49 -INF 177.072 +INF . 50 -INF 168.103 +INF . 51 -INF 370.596 +INF . 52 -INF 516.733 +INF . 53 -INF 608.973 +INF . 54 -INF 740.990 +INF . 55 -INF 134.703 +INF . 56 -INF 346.842 +INF . 57 -INF 217.299 +INF . 58 -INF 633.131 +INF . 59 -INF 629.535 +INF . 60 -INF 317.667 +INF . ---- VAR ABATECOST Cost of emissions reductions LOWER LEVEL UPPER MARGINAL 1 -INF 1.3292E-5 +INF . 2 -INF 0.020 +INF . 3 -INF 0.035 +INF . 4 -INF 0.057 +INF . 5 -INF 0.088 +INF . 6 -INF 0.133 +INF . 7 -INF 0.195 +INF . 8 -INF 0.279 +INF . 9 -INF 0.393 +INF . 10 -INF 0.545 +INF . 11 -INF 0.747 +INF . 12 -INF 1.014 +INF . 13 -INF 1.367 +INF . 14 -INF 1.833 +INF . 15 -INF 2.446 +INF . 16 -INF 3.258 +INF . 17 -INF 4.326 +INF . 18 -INF 5.735 +INF . 19 -INF 7.588 +INF . 20 -INF 10.007 +INF . 21 -INF 12.532 +INF . 22 -INF 13.317 +INF . 23 -INF 14.166 +INF . 24 -INF 15.081 +INF . 25 -INF 16.063 +INF . 26 -INF 17.116 +INF . 27 -INF 18.243 +INF . 28 -INF 19.450 +INF . 29 -INF 20.740 +INF . 30 -INF 22.120 +INF . 31 -INF 23.595 +INF . 32 -INF 25.172 +INF . 33 -INF 26.858 +INF . 34 -INF 28.658 +INF . 35 -INF 30.582 +INF . 36 -INF 32.636 +INF . 37 -INF 34.829 +INF . 38 -INF 37.170 +INF . 39 -INF 39.668 +INF . 40 -INF 42.332 +INF . 41 -INF 45.174 +INF . 42 -INF 40.410 +INF . 43 -INF 41.629 +INF . 44 -INF 49.495 +INF . 45 -INF 55.562 +INF . 46 -INF 60.781 +INF . 47 -INF 65.661 +INF . 48 -INF 18.121 +INF . 49 -INF 39.331 +INF . 50 -INF 15.297 +INF . 51 -INF 58.608 +INF . 52 -INF 76.283 +INF . 53 -INF 88.695 +INF . 54 -INF 74.005 +INF . 55 -INF 6.696 +INF . 56 -INF 8.123 +INF . 57 -INF 0.167 +INF . 58 -INF 14.517 +INF . 59 -INF 2.599 +INF . 60 -INF 1.385 +INF . ---- VAR CCA Cumulative industrial carbon emissions GTC LOWER LEVEL UPPER MARGINAL 1 . . 6000.000 . 2 . 85.320 6000.000 . 3 . 168.708 6000.000 . 4 . 259.321 6000.000 . 5 . 356.342 6000.000 . 6 . 458.921 6000.000 . 7 . 566.234 6000.000 . 8 . 677.495 6000.000 . 9 . 791.919 6000.000 . 10 . 908.694 6000.000 . 11 . 1026.934 6000.000 . 12 . 1145.636 6000.000 . 13 . 1263.610 6000.000 . 14 . 1379.417 6000.000 . 15 . 1491.330 6000.000 . 16 . 1597.220 6000.000 . 17 . 1694.455 6000.000 . 18 . 1779.930 6000.000 . 19 . 1849.871 6000.000 . 20 . 1899.781 6000.000 . 21 . 1924.559 6000.000 . 22 . 1925.896 6000.000 . 23 . 1927.100 6000.000 . 24 . 1928.183 6000.000 . 25 . 1929.158 6000.000 . 26 . 1930.036 6000.000 . 27 . 1930.825 6000.000 . 28 . 1931.536 6000.000 . 29 . 1932.176 6000.000 . 30 . 1932.751 6000.000 . 31 . 1933.269 6000.000 . 32 . 1933.736 6000.000 . 33 . 1934.155 6000.000 . 34 . 1934.533 6000.000 . 35 . 1934.873 6000.000 . 36 . 1935.179 6000.000 . 37 . 1935.454 6000.000 . 38 . 1935.702 6000.000 . 39 . 1935.925 6000.000 . 40 . 1936.126 6000.000 . 41 . 1936.307 6000.000 . 42 . 1936.469 6000.000 . 43 . 1936.615 6000.000 . 44 . 1936.747 6000.000 . 45 . 1936.866 6000.000 . 46 . 1936.972 6000.000 . 47 . 1937.068 6000.000 . 48 . 1937.155 6000.000 . 49 . 2407.143 6000.000 . 50 . 2456.064 6000.000 . 51 . 2777.840 6000.000 . 52 . 2777.897 6000.000 . 53 . 2777.948 6000.000 . 54 . 2777.993 6000.000 . 55 . 3205.800 6000.000 . 56 . 3383.456 6000.000 . 57 . 3969.412 6000.000 . 58 . 4574.082 6000.000 . 59 . 5115.824 6000.000 . 60 . 6000.000 6000.000 -2.880E-6 ---- VAR PERIODU One period utility function LOWER LEVEL UPPER MARGINAL 1 -INF -149.250 +INF . 2 -INF -130.552 +INF . 3 -INF -113.051 +INF . 4 -INF -97.840 +INF . 5 -INF -84.889 +INF . 6 -INF -73.891 +INF . 7 -INF -64.520 +INF . 8 -INF -56.494 +INF . 9 -INF -49.584 +INF . 10 -INF -43.608 +INF . 11 -INF -38.420 +INF . 12 -INF -33.895 +INF . 13 -INF -29.939 +INF . 14 -INF -26.470 +INF . 15 -INF -23.423 +INF . 16 -INF -20.742 +INF . 17 -INF -18.377 +INF . 18 -INF -16.288 +INF . 19 -INF -14.439 +INF . 20 -INF -12.799 +INF . 21 -INF -11.334 +INF . 22 -INF -10.006 +INF . 23 -INF -8.825 +INF . 24 -INF -7.778 +INF . 25 -INF -6.852 +INF . 26 -INF -6.031 +INF . 27 -INF -5.304 +INF . 28 -INF -4.659 +INF . 29 -INF -4.087 +INF . 30 -INF -3.578 +INF . 31 -INF -3.125 +INF . 32 -INF -2.721 +INF . 33 -INF -2.360 +INF . 34 -INF -2.038 +INF . 35 -INF -1.750 +INF . 36 -INF -1.491 +INF . 37 -INF -1.260 +INF . 38 -INF -1.052 +INF . 39 -INF -0.865 +INF . 40 -INF -0.697 +INF . 41 -INF -0.545 +INF . 42 -INF -0.680 +INF . 43 -INF -0.588 +INF . 44 -INF -0.302 +INF . 45 -INF -0.131 +INF . 46 -INF -0.009 +INF . 47 -INF 0.088 +INF . 48 -INF -0.404 +INF . 49 -INF -0.364 +INF . 50 -INF -0.787 +INF . 51 -INF 0.043 +INF . 52 -INF 0.278 +INF . 53 -INF 0.391 +INF . 54 -INF 0.461 +INF . 55 -INF -2.403 +INF . 56 -INF -0.569 +INF . 57 -INF -2.101 +INF . 58 -INF -0.296 +INF . 59 -INF -0.567 +INF . 60 -INF -1.683 +INF . LOWER LEVEL UPPER MARGINAL ---- VAR UTILITY -INF 1.5016E+5 +INF . **** REPORT SUMMARY : 0 NONOPT 0 INFEASIBLE 0 UNBOUNDED 0 ERRORS GAMS Rev 237 LEX-LEG 23.7.1 x86_64/Linux 09/14/11 00:04:35 Page 8 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Model Statistics SOLVE CO2 Using NLP From line 309 MODEL STATISTICS BLOCKS OF EQUATIONS 30 SINGLE EQUATIONS 1,263 BLOCKS OF VARIABLES 24 SINGLE VARIABLES 1,381 NON ZERO ELEMENTS 3,767 NON LINEAR N-Z 1,080 DERIVATIVE POOL 6 CONSTANT POOL 327 CODE LENGTH 5,643 GENERATION TIME = 0.004 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 00:04:35 Page 9 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Solution Report SOLVE CO2 Using NLP From line 309 S O L V E S U M M A R Y MODEL CO2 OBJECTIVE UTILITY TYPE NLP DIRECTION MAXIMIZE SOLVER MINOS FROM LINE 309 **** SOLVER STATUS 1 Normal Completion **** MODEL STATUS 2 Locally Optimal **** OBJECTIVE VALUE 150161.8263 RESOURCE USAGE, LIMIT 0.193 99999.000 ITERATION COUNT, LIMIT 214 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: 150161.8 ---- EQU CCTFIRST First period cumulative carbon LOWER LEVEL UPPER MARGINAL 1 . . . 2.3169E-6 ---- EQU CCACCA Cumulative carbon emissions LOWER LEVEL UPPER MARGINAL 2 . . . 2.3169E-6 3 . . . 2.3169E-6 4 . . . 2.3169E-6 5 . . . 2.3169E-6 6 . . . 2.3169E-6 7 . . . 2.3169E-6 8 . . . 2.3169E-6 9 . . . 2.3169E-6 10 . . . 2.3169E-6 11 . . . 2.3169E-6 12 . . . 2.3169E-6 13 . . . 2.3169E-6 14 . . . 2.3169E-6 15 . . . 2.3169E-6 16 . . . 2.3169E-6 17 . . . 2.3169E-6 18 . . . 2.3169E-6 19 . . . 2.3169E-6 20 . . . 2.3169E-6 21 . . . 2.3169E-6 22 . . . 2.3169E-6 23 . . . 2.3169E-6 24 . . . 2.3169E-6 25 . . . 2.3169E-6 26 . . . 2.3169E-6 27 . . . 2.3169E-6 28 . . . 2.3169E-6 29 . . . 2.3169E-6 30 . . . 2.3169E-6 31 . . . 2.3169E-6 32 . . . 2.3169E-6 33 . . . 2.3169E-6 34 . . . 2.3169E-6 35 . . . 2.3169E-6 36 . . . 2.3169E-6 37 . . . 2.3169E-6 38 . . . 2.3169E-6 39 . . . 2.3169E-6 40 . . . 2.3169E-6 41 . . . 2.3169E-6 42 . . . 2.3169E-6 43 . . . 2.3169E-6 44 . . . 2.3169E-6 45 . . . 2.3169E-6 46 . . . 2.3169E-6 47 . . . 2.3169E-6 48 . . . 2.3169E-6 49 . . . 2.3169E-6 50 . . . 2.3169E-6 51 . . . 2.3169E-6 52 . . . 2.3169E-6 53 . . . 2.3169E-6 54 . . . 2.3169E-6 55 . . . 2.3169E-6 56 . . . 2.3169E-6 57 . . . 2.3169E-6 58 . . . 2.3169E-6 59 . . . 2.3169E-6 60 . . . 2.3169E-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 . . . 1171.332 2 . . . 765.926 3 . . . 493.212 4 . . . 318.074 5 . . . 206.510 6 . . . 135.112 7 . . . 89.038 8 . . . 59.050 9 . . . 39.380 10 . . . 26.389 11 . . . 17.758 12 . . . 11.993 13 . . . 8.126 14 . . . 5.522 15 . . . 3.763 16 . . . 2.571 17 . . . 1.761 18 . . . 1.208 19 . . . 0.831 20 . . . 0.572 21 . . . 0.394 22 . . . 0.270 23 . . . 0.186 24 . . . 0.128 25 . . . 0.088 26 . . . 0.061 27 . . . 0.042 28 . . . 0.029 29 . . . 0.020 30 . . . 0.014 31 . . . 0.010 32 . . . 0.007 33 . . . 0.005 34 . . . 0.003 35 . . . 0.002 36 . . . 0.002 37 . . . 0.001 38 . . . 8.5922E-4 39 . . . 5.9858E-4 40 . . . 4.0406E-4 41 . . . 2.4878E-4 42 . . . 2.5295E-4 43 . . . 9.4510E-5 44 . . . 1.4075E-4 45 . . . 8.9969E-5 46 . . . 5.8482E-5 47 . . . 3.5476E-5 48 . . . 7.2172E-5 49 . . . 5.7847E-5 50 . . . 1.3155E-5 51 . . . -7.552E-5 52 . . . 1.2697E-5 53 . . . 7.4050E-6 54 . . . 4.2962E-6 55 . . . 1.4678E-4 56 . . . 2.5249E-5 57 . . . 9.1344E-5 58 . . . EPS 59 . . . 1.307E-15 60 . . . 4.4440E-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 . . . 1169.559 2 . . . 763.742 3 . . . 491.118 4 . . . 316.199 5 . . . 204.902 6 . . . 133.773 7 . . . 87.950 8 . . . 58.182 9 . . . 38.697 10 . . . 25.858 11 . . . 17.351 12 . . . 11.684 13 . . . 7.894 14 . . . 5.350 15 . . . 3.636 16 . . . 2.477 17 . . . 1.692 18 . . . 1.159 19 . . . 0.795 20 . . . 0.546 21 . . . 0.376 22 . . . 0.258 23 . . . 0.178 24 . . . 0.123 25 . . . 0.085 26 . . . 0.059 27 . . . 0.041 28 . . . 0.028 29 . . . 0.020 30 . . . 0.014 31 . . . 0.010 32 . . . 0.007 33 . . . 0.005 34 . . . 0.003 35 . . . 0.002 36 . . . 0.002 37 . . . 0.001 38 . . . 8.3850E-4 39 . . . 5.8459E-4 40 . . . 3.9491E-4 41 . . . 2.4332E-4 42 . . . 2.4755E-4 43 . . . 9.2555E-5 44 . . . 1.3792E-4 45 . . . 8.8216E-5 46 . . . 5.7376E-5 47 . . . 3.4825E-5 48 . . . 7.0886E-5 49 . . . 5.6794E-5 50 . . . 1.2840E-5 51 . . . -7.352E-5 52 . . . 1.2333E-5 53 . . . 7.1779E-6 54 . . . 4.1573E-6 55 . . . 1.4223E-4 56 . . . 3.9099E-8 57 . . . 8.6640E-5 58 . . . EPS 59 . . . 5.898E-17 60 . . . 4.1177E-5 ---- EQU DAMEQ Damage equation LOWER LEVEL UPPER MARGINAL 1 . . . EPS 2 . . . EPS 3 . . . EPS 4 . . . EPS 5 . . . EPS 6 . . . EPS 7 . . . EPS 8 . . . EPS 9 . . . EPS 10 . . . EPS 11 . . . EPS 12 . . . EPS 13 . . . EPS 14 . . . EPS 15 . . . EPS 16 . . . EPS 17 . . . EPS 18 . . . EPS 19 . . . EPS 20 . . . EPS 21 . . . EPS 22 . . . EPS 23 . . . EPS 24 . . . EPS 25 . . . EPS 26 . . . EPS 27 . . . EPS 28 . . . EPS 29 . . . EPS 30 . . . EPS 31 . . . EPS 32 . . . EPS 33 . . . EPS 34 . . . EPS 35 . . . EPS 36 . . . EPS 37 . . . EPS 38 . . . EPS 39 . . . EPS 40 . . . EPS 41 . . . EPS 42 . . . EPS 43 . . . EPS 44 . . . EPS 45 . . . EPS 46 . . . EPS 47 . . . EPS 48 . . . EPS 49 . . . EPS 50 . . . EPS 51 . . . EPS 52 . . . EPS 53 . . . EPS 54 . . . EPS 55 . . . EPS 56 . . . EPS 57 . . . EPS 58 . . . EPS 59 . . . EPS 60 . . . EPS ---- EQU ABATEEQ Cost of emissions reductions equation LOWER LEVEL UPPER MARGINAL 1 . . . EPS 2 . . . EPS 3 . . . EPS 4 . . . EPS 5 . . . EPS 6 . . . EPS 7 . . . EPS 8 . . . EPS 9 . . . EPS 10 . . . EPS 11 . . . EPS 12 . . . EPS 13 . . . EPS 14 . . . EPS 15 . . . EPS 16 . . . EPS 17 . . . EPS 18 . . . EPS 19 . . . EPS 20 . . . EPS 21 . . . EPS 22 . . . EPS 23 . . . EPS 24 . . . EPS 25 . . . EPS 26 . . . EPS 27 . . . EPS 28 . . . EPS 29 . . . EPS 30 . . . EPS 31 . . . EPS 32 . . . EPS 33 . . . EPS 34 . . . EPS 35 . . . EPS 36 . . . EPS 37 . . . EPS 38 . . . EPS 39 . . . EPS 40 . . . EPS 41 . . . EPS 42 . . . EPS 43 . . . EPS 44 . . . EPS 45 . . . EPS 46 . . . EPS 47 . . . EPS 48 . . . EPS 49 . . . EPS 50 . . . EPS 51 . . . EPS 52 . . . EPS 53 . . . EPS 54 . . . EPS 55 . . . EPS 56 . . . EPS 57 . . . EPS 58 . . . EPS 59 . . . EPS 60 . . . EPS ---- EQU CC Consumption equation LOWER LEVEL UPPER MARGINAL 1 . . . 1163.668 2 . . . 768.654 3 . . . 497.826 4 . . . 322.167 5 . . . 209.617 6 . . . 137.327 7 . . . 90.569 8 . . . 60.092 9 . . . 40.082 10 . . . 26.859 11 . . . 18.073 12 . . . 12.203 13 . . . 8.266 14 . . . 5.615 15 . . . 3.824 16 . . . 2.611 17 . . . 1.787 18 . . . 1.226 19 . . . 0.843 20 . . . 0.580 21 . . . 0.399 22 . . . 0.274 23 . . . 0.188 24 . . . 0.129 25 . . . 0.089 26 . . . 0.062 27 . . . 0.043 28 . . . 0.030 29 . . . 0.021 30 . . . 0.014 31 . . . 0.010 32 . . . 0.007 33 . . . 0.005 34 . . . 0.003 35 . . . 0.002 36 . . . 0.002 37 . . . 0.001 38 . . . 8.7900E-4 39 . . . 6.2569E-4 40 . . . 4.4628E-4 41 . . . 3.1895E-4 42 . . . 3.2429E-4 43 . . . 2.4690E-4 44 . . . 1.4393E-4 45 . . . 9.3898E-5 46 . . . 6.4507E-5 47 . . . 4.5482E-5 48 . . . 9.2529E-5 49 . . . 7.4162E-5 50 . . . 1.1213E-4 51 . . . 2.7109E-5 52 . . . 1.3244E-5 53 . . . 8.1486E-6 54 . . . 5.5079E-6 55 . . . 1.8818E-4 56 . . . 3.2370E-5 57 . . . 1.1711E-4 58 . . . 1.6637E-5 59 . . . 2.2863E-5 60 . . . 5.6974E-5 ---- EQU KK Capital balance equation LOWER LEVEL UPPER MARGINAL 1 -INF . . 119.850 2 -INF . . 75.625 3 -INF . . 47.685 4 -INF . . 30.356 5 -INF . . 19.549 6 -INF . . 12.726 7 -INF . . 8.361 8 -INF . . 5.536 9 -INF . . 3.689 10 -INF . . 2.472 11 -INF . . 1.664 12 -INF . . 1.125 13 -INF . . 0.763 14 -INF . . 0.519 15 -INF . . 0.355 16 -INF . . 0.243 17 -INF . . 0.167 18 -INF . . 0.115 19 -INF . . 0.079 20 -INF . . 0.054 21 -INF . . 0.037 22 -INF . . 0.026 23 -INF . . 0.018 24 -INF . . 0.012 25 -INF . . 0.008 26 -INF . . 0.006 27 -INF . . 0.004 28 -INF . . 0.003 29 -INF . . 0.002 30 -INF . . 0.001 31 -INF . . 9.6029E-4 32 -INF . . 6.7432E-4 33 -INF . . 4.7444E-4 34 -INF . . 3.3432E-4 35 -INF . . 2.3570E-4 36 -INF . . 1.6585E-4 37 -INF . . 1.1577E-4 38 -INF . . 7.8909E-5 39 -INF . . 5.0248E-5 40 -INF . . 2.5439E-5 41 -INF -1.018E+4 . . 42 -INF -6175.664 . . 43 -INF . . EPS 44 -INF . . 1.2945E-5 45 -INF . . 7.6037E-6 46 -INF . . 3.7120E-6 47 -INF -3.191E+4 . . 48 -INF -1.339E+4 . . 49 -INF -1.807E+4 . . 50 -INF . . EPS 51 -INF . . EPS 52 -INF . . 1.0756E-6 53 -INF . . 4.7688E-7 54 -INF -6.473E+4 . . 55 -INF -5991.889 . . 56 -INF -1.647E+4 . . 57 -INF -6118.726 . . 58 -INF -1.928E+4 . . 59 -INF -1.551E+4 . . 60 -INF -9063.157 . . ---- EQU KK0 Initial condition for capital LOWER LEVEL UPPER MARGINAL 1 137.000 137.000 137.000 183.834 ---- EQU KC Terminal condition for capital LOWER LEVEL UPPER MARGINAL 60 -INF -900.829 . . ---- 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 -3.214 2 9.900 9.900 9.900 -3.162 3 8.910 8.910 8.910 -2.597 4 8.019 8.019 8.019 -2.099 5 7.217 7.217 7.217 -1.678 6 6.495 6.495 6.495 -1.330 7 5.846 5.846 5.846 -1.047 8 5.261 5.261 5.261 -0.821 9 4.735 4.735 4.735 -0.642 10 4.262 4.262 4.262 -0.499 11 3.835 3.835 3.835 -0.388 12 3.452 3.452 3.452 -0.301 13 3.107 3.107 3.107 -0.233 14 2.796 2.796 2.796 -0.181 15 2.516 2.516 2.516 -0.140 16 2.265 2.265 2.265 -0.109 17 2.038 2.038 2.038 -0.085 18 1.834 1.834 1.834 -0.066 19 1.651 1.651 1.651 -0.052 20 1.486 1.486 1.486 -0.040 21 1.337 1.337 1.337 -0.031 22 1.204 1.204 1.204 -0.024 23 1.083 1.083 1.083 -0.019 24 0.975 0.975 0.975 -0.015 25 0.877 0.877 0.877 -0.011 26 0.790 0.790 0.790 -0.009 27 0.711 0.711 0.711 -0.007 28 0.640 0.640 0.640 -0.005 29 0.576 0.576 0.576 -0.004 30 0.518 0.518 0.518 -0.003 31 0.466 0.466 0.466 -0.002 32 0.420 0.420 0.420 -0.002 33 0.378 0.378 0.378 -0.001 34 0.340 0.340 0.340 -0.001 35 0.306 0.306 0.306 -8.776E-4 36 0.275 0.275 0.275 -6.738E-4 37 0.248 0.248 0.248 -5.156E-4 38 0.223 0.223 0.223 -3.934E-4 39 0.201 0.201 0.201 -3.006E-4 40 0.181 0.181 0.181 -2.318E-4 41 0.163 0.163 0.163 -1.821E-4 42 0.146 0.146 0.146 -1.441E-4 43 0.132 0.132 0.132 -1.157E-4 44 0.119 0.119 0.119 -9.009E-5 45 0.107 0.107 0.107 -6.399E-5 46 0.096 0.096 0.096 -4.272E-5 47 0.086 0.086 0.086 -2.383E-5 48 0.078 0.078 0.078 -4.453E-6 49 0.070 0.070 0.070 -2.479E-6 50 0.063 0.063 0.063 -7.716E-7 51 0.057 0.057 0.057 4.4321E-6 52 0.051 0.051 0.051 -7.449E-7 53 0.046 0.046 0.046 -4.282E-7 54 0.041 0.041 0.041 -3.257E-5 55 0.037 0.037 0.037 -4.263E-6 56 0.033 0.033 0.033 -3.480E-7 57 0.030 0.030 0.030 7.8409E-5 58 0.027 0.027 0.027 -1.07E-15 59 0.024 0.024 0.024 -7.84E-16 60 0.022 0.022 0.022 -4.755E-7 ---- EQU SEQ Savings rate equation LOWER LEVEL UPPER MARGINAL 1 . . . -1936.125 2 . . . 861.807 3 . . . 1783.328 4 . . . 1898.961 5 . . . 1704.672 6 . . . 1419.963 7 . . . 1136.693 8 . . . 888.882 9 . . . 685.021 10 . . . 523.051 11 . . . 397.277 12 . . . 300.035 13 . . . 225.548 14 . . . 168.760 15 . . . 125.763 16 . . . 93.266 17 . . . 68.901 18 . . . 50.788 19 . . . 37.813 20 . . . 28.808 21 . . . 22.721 22 . . . 17.074 23 . . . 12.777 24 . . . 9.544 25 . . . 7.128 26 . . . 5.325 27 . . . 3.982 28 . . . 2.980 29 . . . 2.233 30 . . . 1.675 31 . . . 1.258 32 . . . 0.948 33 . . . 0.719 34 . . . 0.554 35 . . . 0.444 36 . . . 0.385 37 . . . 0.389 38 . . . 0.483 39 . . . 0.728 40 . . . 1.247 41 . . . 2.276 42 . . . 2.130 43 . . . 4.841 44 . . . 0.123 45 . . . 0.174 46 . . . 0.299 47 . . . 0.550 48 . . . 0.728 49 . . . 0.605 50 . . . 2.771 51 . . . 5.424 52 . . . 0.038 53 . . . 0.062 54 . . . 0.114 55 . . . 0.617 56 . . . 0.237 57 . . . 0.419 58 . . . 0.147 59 . . . 0.160 60 . . . 0.234 ---- EQU RIEQ Interest rate equation LOWER LEVEL UPPER MARGINAL 1 -0.065 -0.065 -0.065 EPS 2 -0.065 -0.065 -0.065 EPS 3 -0.065 -0.065 -0.065 EPS 4 -0.065 -0.065 -0.065 EPS 5 -0.065 -0.065 -0.065 EPS 6 -0.065 -0.065 -0.065 EPS 7 -0.065 -0.065 -0.065 EPS 8 -0.065 -0.065 -0.065 EPS 9 -0.065 -0.065 -0.065 EPS 10 -0.065 -0.065 -0.065 EPS 11 -0.065 -0.065 -0.065 EPS 12 -0.065 -0.065 -0.065 EPS 13 -0.065 -0.065 -0.065 EPS 14 -0.065 -0.065 -0.065 EPS 15 -0.065 -0.065 -0.065 EPS 16 -0.065 -0.065 -0.065 EPS 17 -0.065 -0.065 -0.065 EPS 18 -0.065 -0.065 -0.065 EPS 19 -0.065 -0.065 -0.065 EPS 20 -0.065 -0.065 -0.065 EPS 21 -0.065 -0.065 -0.065 EPS 22 -0.065 -0.065 -0.065 EPS 23 -0.065 -0.065 -0.065 EPS 24 -0.065 -0.065 -0.065 EPS 25 -0.065 -0.065 -0.065 EPS 26 -0.065 -0.065 -0.065 EPS 27 -0.065 -0.065 -0.065 EPS 28 -0.065 -0.065 -0.065 EPS 29 -0.065 -0.065 -0.065 EPS 30 -0.065 -0.065 -0.065 EPS 31 -0.065 -0.065 -0.065 EPS 32 -0.065 -0.065 -0.065 EPS 33 -0.065 -0.065 -0.065 EPS 34 -0.065 -0.065 -0.065 EPS 35 -0.065 -0.065 -0.065 EPS 36 -0.065 -0.065 -0.065 EPS 37 -0.065 -0.065 -0.065 EPS 38 -0.065 -0.065 -0.065 EPS 39 -0.065 -0.065 -0.065 EPS 40 -0.065 -0.065 -0.065 EPS 41 -0.065 -0.065 -0.065 EPS 42 -0.065 -0.065 -0.065 EPS 43 -0.065 -0.065 -0.065 EPS 44 -0.065 -0.065 -0.065 EPS 45 -0.065 -0.065 -0.065 EPS 46 -0.065 -0.065 -0.065 EPS 47 -0.065 -0.065 -0.065 EPS 48 -0.065 -0.065 -0.065 EPS 49 -0.065 -0.065 -0.065 EPS 50 -0.065 -0.065 -0.065 EPS 51 -0.065 -0.065 -0.065 EPS 52 -0.065 -0.065 -0.065 EPS 53 -0.065 -0.065 -0.065 EPS 54 -0.065 -0.065 -0.065 EPS 55 -0.065 -0.065 -0.065 EPS 56 -0.065 -0.065 -0.065 EPS 57 -0.065 -0.065 -0.065 EPS 58 -0.065 -0.065 -0.065 EPS 59 -0.065 -0.065 -0.065 EPS 60 -0.065 -0.065 -0.065 EPS ---- EQU FORCE Radiative forcing equation LOWER LEVEL UPPER MARGINAL 1 -0.060 -0.060 -0.060 EPS 2 -0.024 -0.024 -0.024 -162.040 3 0.012 0.012 0.012 -147.994 4 0.048 0.048 0.048 -130.478 5 0.084 0.084 0.084 -112.272 6 0.120 0.120 0.120 -94.908 7 0.156 0.156 0.156 -79.149 8 0.192 0.192 0.192 -65.300 9 0.228 0.228 0.228 -53.399 10 0.264 0.264 0.264 -43.336 11 0.300 0.300 0.300 -34.925 12 0.300 0.300 0.300 -27.948 13 0.300 0.300 0.300 -22.235 14 0.300 0.300 0.300 -17.601 15 0.300 0.300 0.300 -13.867 16 0.300 0.300 0.300 -10.871 17 0.300 0.300 0.300 -8.477 18 0.300 0.300 0.300 -6.572 19 0.300 0.300 0.300 -5.059 20 0.300 0.300 0.300 -3.866 21 0.300 0.300 0.300 -2.933 22 0.300 0.300 0.300 -2.215 23 0.300 0.300 0.300 -1.671 24 0.300 0.300 0.300 -1.262 25 0.300 0.300 0.300 -0.954 26 0.300 0.300 0.300 -0.723 27 0.300 0.300 0.300 -0.549 28 0.300 0.300 0.300 -0.418 29 0.300 0.300 0.300 -0.319 30 0.300 0.300 0.300 -0.243 31 0.300 0.300 0.300 -0.186 32 0.300 0.300 0.300 -0.143 33 0.300 0.300 0.300 -0.109 34 0.300 0.300 0.300 -0.084 35 0.300 0.300 0.300 -0.064 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 -0.021 40 0.300 0.300 0.300 -0.015 41 0.300 0.300 0.300 -0.011 42 0.300 0.300 0.300 -0.009 43 0.300 0.300 0.300 -0.006 44 0.300 0.300 0.300 -0.007 45 0.300 0.300 0.300 -0.005 46 0.300 0.300 0.300 -0.003 47 0.300 0.300 0.300 -0.003 48 0.300 0.300 0.300 -0.002 49 0.300 0.300 0.300 -9.393E-4 50 0.300 0.300 0.300 7.0783E-4 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 -0.003 55 0.300 0.300 0.300 -0.003 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 -4.817E-4 59 0.300 0.300 0.300 -7.294E-4 60 0.300 0.300 0.300 -0.001 ---- EQU MMAT0 Starting atmospheric concentration LOWER LEVEL UPPER MARGINAL 1 808.900 808.900 808.900 -2.791 ---- EQU MMAT Atmospheric concentration equation LOWER LEVEL UPPER MARGINAL 2 . . . -3.214 3 . . . -3.162 4 . . . -2.597 5 . . . -2.099 6 . . . -1.678 7 . . . -1.330 8 . . . -1.047 9 . . . -0.821 10 . . . -0.642 11 . . . -0.499 12 . . . -0.388 13 . . . -0.301 14 . . . -0.233 15 . . . -0.181 16 . . . -0.140 17 . . . -0.109 18 . . . -0.085 19 . . . -0.066 20 . . . -0.052 21 . . . -0.040 22 . . . -0.031 23 . . . -0.024 24 . . . -0.019 25 . . . -0.015 26 . . . -0.011 27 . . . -0.009 28 . . . -0.007 29 . . . -0.005 30 . . . -0.004 31 . . . -0.003 32 . . . -0.002 33 . . . -0.002 34 . . . -0.001 35 . . . -0.001 36 . . . -8.799E-4 37 . . . -6.762E-4 38 . . . -5.179E-4 39 . . . -3.958E-4 40 . . . -3.029E-4 41 . . . -2.342E-4 42 . . . -1.844E-4 43 . . . -1.464E-4 44 . . . -1.180E-4 45 . . . -9.240E-5 46 . . . -6.631E-5 47 . . . -4.503E-5 48 . . . -2.615E-5 49 . . . -6.770E-6 50 . . . -4.796E-6 51 . . . -3.088E-6 52 . . . 2.1152E-6 53 . . . -3.062E-6 54 . . . -2.745E-6 55 . . . -3.489E-5 56 . . . -6.580E-6 57 . . . 3.0094E-5 58 . . . 7.6092E-5 59 . . . -2.317E-6 60 . . . -2.317E-6 ---- EQU MMATAVEQ Average concentrations equation LOWER LEVEL UPPER MARGINAL 1 . . . EPS 2 . . . -1.003 3 . . . -0.872 4 . . . -0.732 5 . . . -0.600 6 . . . -0.485 7 . . . -0.387 8 . . . -0.307 9 . . . -0.241 10 . . . -0.189 11 . . . -0.148 12 . . . -0.115 13 . . . -0.089 14 . . . -0.069 15 . . . -0.053 16 . . . -0.041 17 . . . -0.032 18 . . . -0.025 19 . . . -0.019 20 . . . -0.015 21 . . . -0.012 22 . . . -0.009 23 . . . -0.007 24 . . . -0.006 25 . . . -0.004 26 . . . -0.003 27 . . . -0.003 28 . . . -0.002 29 . . . -0.002 30 . . . -0.001 31 . . . -9.409E-4 32 . . . -7.305E-4 33 . . . -5.673E-4 34 . . . -4.405E-4 35 . . . -3.417E-4 36 . . . -2.644E-4 37 . . . -2.035E-4 38 . . . -1.552E-4 39 . . . -1.168E-4 40 . . . -8.642E-5 41 . . . -6.394E-5 42 . . . -5.178E-5 43 . . . -3.630E-5 44 . . . -3.843E-5 45 . . . -2.827E-5 46 . . . -2.091E-5 47 . . . -1.575E-5 48 . . . -1.302E-5 49 . . . -4.742E-6 50 . . . 3.1256E-6 51 . . . 6.9230E-6 52 . . . -9.643E-6 53 . . . -9.405E-6 54 . . . -1.091E-5 55 . . . -1.372E-5 56 . . . -6.538E-6 57 . . . -4.502E-6 58 . . . -8.714E-7 59 . . . -1.165E-6 60 . . . -3.469E-6 ---- EQU MMU0 Initial shallow ocean concentration LOWER LEVEL UPPER MARGINAL 1 1255.000 1255.000 1255.000 -1.148 ---- EQU MMU Shallow ocean concentration LOWER LEVEL UPPER MARGINAL 2 . . . -0.979 3 . . . -0.787 4 . . . -0.627 5 . . . -0.495 6 . . . -0.389 7 . . . -0.305 8 . . . -0.238 9 . . . -0.185 10 . . . -0.144 11 . . . -0.112 12 . . . -0.087 13 . . . -0.067 14 . . . -0.052 15 . . . -0.041 16 . . . -0.032 17 . . . -0.025 18 . . . -0.019 19 . . . -0.015 20 . . . -0.012 21 . . . -0.009 22 . . . -0.007 23 . . . -0.005 24 . . . -0.004 25 . . . -0.003 26 . . . -0.003 27 . . . -0.002 28 . . . -0.002 29 . . . -0.001 30 . . . -9.109E-4 31 . . . -7.054E-4 32 . . . -5.460E-4 33 . . . -4.222E-4 34 . . . -3.264E-4 35 . . . -2.522E-4 36 . . . -1.952E-4 37 . . . -1.515E-4 38 . . . -1.183E-4 39 . . . -9.337E-5 40 . . . -7.472E-5 41 . . . -6.069E-5 42 . . . -4.993E-5 43 . . . -4.164E-5 44 . . . -3.516E-5 45 . . . -3.050E-5 46 . . . -2.800E-5 47 . . . -2.751E-5 48 . . . -2.908E-5 49 . . . -3.315E-5 50 . . . -3.815E-5 51 . . . -4.421E-5 52 . . . -5.192E-5 53 . . . -6.038E-5 54 . . . -7.035E-5 55 . . . -7.839E-5 56 . . . -9.107E-5 57 . . . -1.101E-4 58 . . . -1.378E-4 59 . . . -1.612E-4 60 . . . -1.888E-4 ---- 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 . . . -9.356E-4 13 . . . -7.282E-4 14 . . . -5.673E-4 15 . . . -4.421E-4 16 . . . -3.446E-4 17 . . . -2.686E-4 18 . . . -2.093E-4 19 . . . -1.631E-4 20 . . . -1.272E-4 21 . . . -9.925E-5 22 . . . -7.761E-5 23 . . . -6.084E-5 24 . . . -4.786E-5 25 . . . -3.781E-5 26 . . . -3.002E-5 27 . . . -2.399E-5 28 . . . -1.932E-5 29 . . . -1.570E-5 30 . . . -1.290E-5 31 . . . -1.074E-5 32 . . . -9.061E-6 33 . . . -7.769E-6 34 . . . -6.772E-6 35 . . . -6.004E-6 36 . . . -5.412E-6 37 . . . -4.955E-6 38 . . . -4.601E-6 39 . . . -4.323E-6 40 . . . -4.103E-6 41 . . . -3.926E-6 42 . . . -3.782E-6 43 . . . -3.664E-6 44 . . . -3.565E-6 45 . . . -3.481E-6 46 . . . -3.404E-6 47 . . . -3.329E-6 48 . . . -3.248E-6 49 . . . -3.155E-6 50 . . . -3.045E-6 51 . . . -2.916E-6 52 . . . -2.763E-6 53 . . . -2.583E-6 54 . . . -2.371E-6 55 . . . -2.133E-6 56 . . . -1.855E-6 57 . . . -1.516E-6 58 . . . -1.090E-6 59 . . . -5.888E-7 60 . . . EPS ---- EQU TATMEQ Temperature-climate equation for atmosphere LOWER LEVEL UPPER MARGINAL 2 . . . -736.544 3 . . . -672.700 4 . . . -593.080 5 . . . -510.329 6 . . . -431.402 7 . . . -359.768 8 . . . -296.817 9 . . . -242.723 10 . . . -196.983 11 . . . -158.749 12 . . . -127.034 13 . . . -101.070 14 . . . -80.006 15 . . . -63.030 16 . . . -49.413 17 . . . -38.534 18 . . . -29.871 19 . . . -22.997 20 . . . -17.572 21 . . . -13.332 22 . . . -10.068 23 . . . -7.597 24 . . . -5.736 25 . . . -4.339 26 . . . -3.288 27 . . . -2.497 28 . . . -1.900 29 . . . -1.449 30 . . . -1.106 31 . . . -0.846 32 . . . -0.648 33 . . . -0.496 34 . . . -0.380 35 . . . -0.291 36 . . . -0.223 37 . . . -0.169 38 . . . -0.128 39 . . . -0.095 40 . . . -0.069 41 . . . -0.051 42 . . . -0.041 43 . . . -0.028 44 . . . -0.030 45 . . . -0.022 46 . . . -0.016 47 . . . -0.012 48 . . . -0.010 49 . . . -0.004 50 . . . 0.003 51 . . . 0.007 52 . . . -0.010 53 . . . -0.010 54 . . . -0.012 55 . . . -0.015 56 . . . -0.010 57 . . . -0.009 58 . . . -0.002 59 . . . -0.003 60 . . . -0.005 ---- EQU TATM0EQ Initial condition for atmospheric temperature LOWER LEVEL UPPER MARGINAL 1 0.731 0.731 0.731 -763.345 ---- EQU TOCEANEQ Temperature-climate equation for lower oceans LOWER LEVEL UPPER MARGINAL 2 . . . -219.452 3 . . . -184.267 4 . . . -152.762 5 . . . -125.347 6 . . . -101.973 7 . . . -82.346 8 . . . -66.059 9 . . . -52.673 10 . . . -41.760 11 . . . -32.929 12 . . . -25.837 13 . . . -20.175 14 . . . -15.678 15 . . . -12.124 16 . . . -9.330 17 . . . -7.144 18 . . . -5.444 19 . . . -4.133 20 . . . -3.130 21 . . . -2.369 22 . . . -1.794 23 . . . -1.360 24 . . . -1.033 25 . . . -0.786 26 . . . -0.599 27 . . . -0.457 28 . . . -0.349 29 . . . -0.267 30 . . . -0.204 31 . . . -0.156 32 . . . -0.120 33 . . . -0.091 34 . . . -0.070 35 . . . -0.053 36 . . . -0.041 37 . . . -0.031 38 . . . -0.024 39 . . . -0.018 40 . . . -0.014 41 . . . -0.012 42 . . . -0.009 43 . . . -0.008 44 . . . -0.006 45 . . . -0.005 46 . . . -0.004 47 . . . -0.004 48 . . . -0.003 49 . . . -0.003 50 . . . -0.004 51 . . . -0.004 52 . . . -0.004 53 . . . -0.003 54 . . . -0.003 55 . . . -0.002 56 . . . -0.001 57 . . . -6.538E-4 58 . . . -5.361E-4 59 . . . -3.339E-4 60 . . . EPS ---- EQU TOCEAN0EQ Initial condition for lower ocean temperature LOWER LEVEL UPPER MARGINAL 1 0.007 0.007 0.007 -257.091 ---- EQU PERIODUEQ Instantaneous utility function equation LOWER LEVEL UPPER MARGINAL 1 1.000 1.000 1.000 335.773 2 1.000 1.000 1.000 316.686 3 1.000 1.000 1.000 289.492 4 1.000 1.000 1.000 259.533 5 1.000 1.000 1.000 229.757 6 1.000 1.000 1.000 201.694 7 1.000 1.000 1.000 176.051 8 1.000 1.000 1.000 153.069 9 1.000 1.000 1.000 132.727 10 1.000 1.000 1.000 114.872 11 1.000 1.000 1.000 99.289 12 1.000 1.000 1.000 85.740 13 1.000 1.000 1.000 73.993 14 1.000 1.000 1.000 63.826 15 1.000 1.000 1.000 55.038 16 1.000 1.000 1.000 47.450 17 1.000 1.000 1.000 40.902 18 1.000 1.000 1.000 35.253 19 1.000 1.000 1.000 30.382 20 1.000 1.000 1.000 26.183 21 1.000 1.000 1.000 22.563 22 1.000 1.000 1.000 19.443 23 1.000 1.000 1.000 16.754 24 1.000 1.000 1.000 14.437 25 1.000 1.000 1.000 12.440 26 1.000 1.000 1.000 10.719 27 1.000 1.000 1.000 9.237 28 1.000 1.000 1.000 7.959 29 1.000 1.000 1.000 6.858 30 1.000 1.000 1.000 5.909 31 1.000 1.000 1.000 5.092 32 1.000 1.000 1.000 4.388 33 1.000 1.000 1.000 3.781 34 1.000 1.000 1.000 3.258 35 1.000 1.000 1.000 2.807 36 1.000 1.000 1.000 2.419 37 1.000 1.000 1.000 2.084 38 1.000 1.000 1.000 1.796 39 1.000 1.000 1.000 1.547 40 1.000 1.000 1.000 1.333 41 1.000 1.000 1.000 1.149 42 1.000 1.000 1.000 0.990 43 1.000 1.000 1.000 0.853 44 1.000 1.000 1.000 0.735 45 1.000 1.000 1.000 0.633 46 1.000 1.000 1.000 0.546 47 1.000 1.000 1.000 0.470 48 1.000 1.000 1.000 0.405 49 1.000 1.000 1.000 0.349 50 1.000 1.000 1.000 0.301 51 1.000 1.000 1.000 0.259 52 1.000 1.000 1.000 0.223 53 1.000 1.000 1.000 0.192 54 1.000 1.000 1.000 0.166 55 1.000 1.000 1.000 0.143 56 1.000 1.000 1.000 0.123 57 1.000 1.000 1.000 0.106 58 1.000 1.000 1.000 0.091 59 1.000 1.000 1.000 0.079 60 1.000 1.000 1.000 0.068 ---- VAR MIU Emission control rate GHGs LOWER LEVEL UPPER MARGINAL 1 0.005 0.005 0.005 231.358 2 . 0.158 1.000 . 3 . 0.184 1.000 . 4 . 0.211 1.000 . 5 . 0.240 1.000 . 6 . 0.271 1.000 . 7 . 0.303 1.000 . 8 . 0.337 1.000 . 9 . 0.373 1.000 . 10 . 0.410 1.000 . 11 . 0.450 1.000 . 12 . 0.491 1.000 . 13 . 0.536 1.000 . 14 . 0.582 1.000 . 15 . 0.632 1.000 . 16 . 0.685 1.000 . 17 . 0.743 1.000 . 18 . 0.806 1.000 . 19 . 0.875 1.000 . 20 . 0.943 1.000 . 21 . 1.000 1.000 0.436 22 . 1.000 1.000 1.791 23 . 1.000 1.000 2.506 24 . 1.000 1.000 2.813 25 . 1.000 1.000 2.865 26 . 1.000 1.000 2.764 27 . 1.000 1.000 2.577 28 . 1.000 1.000 2.348 29 . 1.000 1.000 2.103 30 . 1.000 1.000 1.860 31 . 1.000 1.000 1.627 32 . 1.000 1.000 1.412 33 . 1.000 1.000 1.215 34 . 1.000 1.000 1.038 35 . 1.000 1.000 0.881 36 . 1.000 1.000 0.742 37 . 1.000 1.000 0.621 38 . 1.000 1.000 0.517 39 . 1.000 1.000 0.431 40 . 1.000 1.000 0.364 41 . 1.000 1.000 0.316 42 . 1.000 1.000 0.219 43 . 1.000 1.000 0.196 44 . 1.000 1.000 0.172 45 . 1.000 1.000 0.140 46 . 1.000 1.000 0.103 47 . 1.000 1.000 0.062 48 . 0.986 1.000 . 49 . 0.809 1.000 . 50 . 0.967 1.000 . 51 . 0.971 1.000 . 52 . 0.974 1.000 . 53 . 0.969 1.000 . 54 . 1.000 1.000 0.143 55 . 0.665 1.000 . 56 . 0.442 1.000 . 57 . . 1.000 -0.059 58 . 0.495 1.000 . 59 . 0.612 1.000 . 60 . 0.395 1.000 . ---- VAR FORC Radiative forcing in watts per m2 LOWER LEVEL UPPER MARGINAL 1 -INF 1.791 +INF . 2 -INF 2.142 +INF . 3 -INF 2.453 +INF . 4 -INF 2.759 +INF . 5 -INF 3.056 +INF . 6 -INF 3.342 +INF . 7 -INF 3.615 +INF . 8 -INF 3.874 +INF . 9 -INF 4.118 +INF . 10 -INF 4.347 +INF . 11 -INF 4.560 +INF . 12 -INF 4.720 +INF . 13 -INF 4.861 +INF . 14 -INF 4.981 +INF . 15 -INF 5.077 +INF . 16 -INF 5.144 +INF . 17 -INF 5.177 +INF . 18 -INF 5.168 +INF . 19 -INF 5.104 +INF . 20 -INF 4.977 +INF . 21 -INF 4.785 +INF . 22 -INF 4.581 +INF . 23 -INF 4.411 +INF . 24 -INF 4.266 +INF . 25 -INF 4.140 +INF . 26 -INF 4.028 +INF . 27 -INF 3.926 +INF . 28 -INF 3.831 +INF . 29 -INF 3.743 +INF . 30 -INF 3.659 +INF . 31 -INF 3.579 +INF . 32 -INF 3.502 +INF . 33 -INF 3.427 +INF . 34 -INF 3.355 +INF . 35 -INF 3.285 +INF . 36 -INF 3.216 +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 2.618 +INF . 47 -INF 2.565 +INF . 48 -INF 2.591 +INF . 49 -INF 3.586 +INF . 50 -INF 4.320 +INF . 51 -INF 4.267 +INF . 52 -INF 4.342 +INF . 53 -INF 4.519 +INF . 54 -INF 4.487 +INF . 55 -INF 4.708 +INF . 56 -INF 6.377 +INF . 57 -INF 8.055 +INF . 58 -INF 9.212 +INF . 59 -INF 9.894 +INF . 60 -INF 6.230 +INF . ---- VAR TATM Temperature of atmosphere in degrees C LOWER LEVEL UPPER MARGINAL 1 . 0.731 20.000 . 2 . 0.951 20.000 . 3 . 1.165 20.000 . 4 . 1.376 20.000 . 5 . 1.584 20.000 . 6 . 1.786 20.000 . 7 . 1.984 20.000 . 8 . 2.175 20.000 . 9 . 2.360 20.000 . 10 . 2.537 20.000 . 11 . 2.706 20.000 . 12 . 2.858 20.000 . 13 . 2.996 20.000 . 14 . 3.119 20.000 . 15 . 3.228 20.000 . 16 . 3.321 20.000 . 17 . 3.396 20.000 . 18 . 3.450 20.000 . 19 . 3.478 20.000 . 20 . 3.476 20.000 . 21 . 3.438 20.000 . 22 . 3.374 20.000 . 23 . 3.301 20.000 . 24 . 3.226 20.000 . 25 . 3.154 20.000 . 26 . 3.087 20.000 . 27 . 3.023 20.000 . 28 . 2.965 20.000 . 29 . 2.910 20.000 . 30 . 2.858 20.000 . 31 . 2.808 20.000 . 32 . 2.761 20.000 . 33 . 2.716 20.000 . 34 . 2.671 20.000 . 35 . 2.628 20.000 . 36 . 2.586 20.000 . 37 . 2.544 20.000 . 38 . 2.504 20.000 . 39 . 2.463 20.000 . 40 . 2.424 20.000 . 41 . 2.385 20.000 . 42 . 2.346 20.000 . 43 . 2.308 20.000 . 44 . 2.271 20.000 . 45 . 2.234 20.000 . 46 . 2.198 20.000 . 47 . 2.162 20.000 . 48 . 2.143 20.000 . 49 . 2.349 20.000 . 50 . 2.645 20.000 . 51 . 2.827 20.000 . 52 . 2.964 20.000 . 53 . 3.094 20.000 . 54 . 3.175 20.000 . 55 . 3.278 20.000 . 56 . 3.715 20.000 . 57 . 4.374 20.000 . 58 . 5.063 20.000 . 59 . 5.672 20.000 . 60 . 5.272 20.000 . ---- VAR TOCEAN Temperatureof lower oceans degrees C LOWER LEVEL UPPER MARGINAL 1 -1.000 0.007 20.000 . 2 -1.000 0.043 20.000 . 3 -1.000 0.088 20.000 . 4 -1.000 0.142 20.000 . 5 -1.000 0.204 20.000 . 6 -1.000 0.273 20.000 . 7 -1.000 0.349 20.000 . 8 -1.000 0.430 20.000 . 9 -1.000 0.518 20.000 . 10 -1.000 0.610 20.000 . 11 -1.000 0.706 20.000 . 12 -1.000 0.806 20.000 . 13 -1.000 0.909 20.000 . 14 -1.000 1.013 20.000 . 15 -1.000 1.118 20.000 . 16 -1.000 1.224 20.000 . 17 -1.000 1.329 20.000 . 18 -1.000 1.432 20.000 . 19 -1.000 1.533 20.000 . 20 -1.000 1.630 20.000 . 21 -1.000 1.722 20.000 . 22 -1.000 1.808 20.000 . 23 -1.000 1.887 20.000 . 24 -1.000 1.957 20.000 . 25 -1.000 2.021 20.000 . 26 -1.000 2.077 20.000 . 27 -1.000 2.128 20.000 . 28 -1.000 2.173 20.000 . 29 -1.000 2.212 20.000 . 30 -1.000 2.247 20.000 . 31 -1.000 2.278 20.000 . 32 -1.000 2.304 20.000 . 33 -1.000 2.327 20.000 . 34 -1.000 2.346 20.000 . 35 -1.000 2.363 20.000 . 36 -1.000 2.376 20.000 . 37 -1.000 2.386 20.000 . 38 -1.000 2.394 20.000 . 39 -1.000 2.400 20.000 . 40 -1.000 2.403 20.000 . 41 -1.000 2.404 20.000 . 42 -1.000 2.403 20.000 . 43 -1.000 2.400 20.000 . 44 -1.000 2.396 20.000 . 45 -1.000 2.389 20.000 . 46 -1.000 2.382 20.000 . 47 -1.000 2.372 20.000 . 48 -1.000 2.362 20.000 . 49 -1.000 2.351 20.000 . 50 -1.000 2.351 20.000 . 51 -1.000 2.366 20.000 . 52 -1.000 2.389 20.000 . 53 -1.000 2.417 20.000 . 54 -1.000 2.451 20.000 . 55 -1.000 2.487 20.000 . 56 -1.000 2.527 20.000 . 57 -1.000 2.586 20.000 . 58 -1.000 2.676 20.000 . 59 -1.000 2.795 20.000 . 60 -1.000 2.939 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 10.000 907.616 +INF -4.057E-5 4 10.000 954.051 +INF -1.048E-4 5 10.000 1001.592 +INF -2.099E-4 6 10.000 1049.524 +INF -3.561E-4 7 10.000 1097.263 +INF -4.756E-4 8 10.000 1144.326 +INF -4.431E-4 9 10.000 1190.281 +INF -6.382E-5 10 10.000 1234.710 +INF 4.3826E-4 11 10.000 1277.194 +INF 2.0701E-4 12 10.000 1317.195 +INF -1.541E-4 13 10.000 1353.988 +INF -7.553E-5 14 10.000 1386.724 +INF 4.8142E-4 15 10.000 1414.634 +INF -1.319E-4 16 10.000 1436.195 +INF -3.654E-5 17 10.000 1449.948 +INF -2.699E-4 18 10.000 1453.638 +INF -1.603E-4 19 10.000 1444.957 +INF -2.747E-4 20 10.000 1420.352 +INF 2.7226E-4 21 10.000 1378.958 +INF 1.7086E-6 22 10.000 1324.010 +INF . 23 10.000 1280.284 +INF . 24 10.000 1244.533 +INF . 25 10.000 1214.494 +INF . 26 10.000 1188.594 +INF . 27 10.000 1165.733 +INF . 28 10.000 1145.143 +INF . 29 10.000 1126.286 +INF . 30 10.000 1108.784 +INF . 31 10.000 1092.367 +INF . 32 10.000 1076.847 +INF . 33 10.000 1062.087 +INF . 34 10.000 1047.986 +INF . 35 10.000 1034.472 +INF . 36 10.000 1021.490 +INF . 37 10.000 1008.998 +INF . 38 10.000 996.962 +INF . 39 10.000 985.355 +INF . 40 10.000 974.155 +INF . 41 10.000 963.344 +INF . 42 10.000 952.903 +INF . 43 10.000 942.819 +INF . 44 10.000 933.078 +INF . 45 10.000 923.666 +INF . 46 10.000 914.573 +INF . 47 10.000 905.787 +INF . 48 10.000 897.298 +INF . 49 10.000 914.155 +INF -1.322E-5 50 10.000 1257.795 +INF -6.884E-6 51 10.000 1225.278 +INF . 52 10.000 1234.190 +INF -1.739E-5 53 10.000 1258.866 +INF -2.200E-5 54 10.000 1316.182 +INF -5.054E-5 55 10.000 1244.038 +INF . 56 10.000 1421.310 +INF . 57 10.000 2192.343 +INF . 58 10.000 2715.715 +INF -1.112E-4 59 10.000 3345.622 +INF -3.632E-5 60 10.000 3518.504 +INF . ---- VAR MATAV Average concentrations LOWER LEVEL UPPER MARGINAL 1 . 836.004 +INF . 2 . 885.362 +INF . 3 . 930.834 +INF . 4 . 977.822 +INF . 5 . 1025.558 +INF . 6 . 1073.393 +INF . 7 . 1120.795 +INF . 8 . 1167.303 +INF . 9 . 1212.495 +INF . 10 . 1255.952 +INF . 11 . 1297.194 +INF . 12 . 1335.592 +INF . 13 . 1370.356 +INF . 14 . 1400.679 +INF . 15 . 1425.415 +INF . 16 . 1443.072 +INF . 17 . 1451.793 +INF . 18 . 1449.298 +INF . 19 . 1432.655 +INF . 20 . 1399.655 +INF . 21 . 1351.484 +INF . 22 . 1302.147 +INF . 23 . 1262.408 +INF . 24 . 1229.514 +INF . 25 . 1201.544 +INF . 26 . 1177.164 +INF . 27 . 1155.438 +INF . 28 . 1135.715 +INF . 29 . 1117.535 +INF . 30 . 1100.575 +INF . 31 . 1084.607 +INF . 32 . 1069.467 +INF . 33 . 1055.037 +INF . 34 . 1041.229 +INF . 35 . 1027.981 +INF . 36 . 1015.244 +INF . 37 . 1002.980 +INF . 38 . 991.158 +INF . 39 . 979.755 +INF . 40 . 968.749 +INF . 41 . 958.123 +INF . 42 . 947.861 +INF . 43 . 937.948 +INF . 44 . 928.372 +INF . 45 . 919.120 +INF . 46 . 910.180 +INF . 47 . 901.542 +INF . 48 . 905.726 +INF . 49 . 1085.975 +INF . 50 . 1241.536 +INF . 51 . 1229.734 +INF . 52 . 1246.528 +INF . 53 . 1287.524 +INF . 54 . 1280.110 +INF . 55 . 1332.674 +INF . 56 . 1806.827 +INF . 57 . 2454.029 +INF . 58 . 3030.668 +INF . 59 . 3432.063 +INF . 60 . 1759.252 +INF . ---- VAR MU Carbon concentration in shallow oceans Gtc LOWER LEVEL UPPER MARGINAL 1 100.000 1255.000 +INF . 2 100.000 1280.635 +INF . 3 100.000 1312.775 +INF . 4 100.000 1348.628 +INF . 5 100.000 1388.020 +INF . 6 100.000 1430.643 +INF . 7 100.000 1476.101 +INF . 8 100.000 1523.948 +INF . 9 100.000 1573.711 +INF . 10 100.000 1624.905 +INF . 11 100.000 1677.038 +INF . 12 100.000 1729.612 +INF . 13 100.000 1782.100 +INF . 14 100.000 1833.915 +INF . 15 100.000 1884.396 +INF . 16 100.000 1932.833 +INF . 17 100.000 1978.334 +INF . 18 100.000 2019.860 +INF . 19 100.000 2056.098 +INF . 20 100.000 2085.491 +INF . 21 100.000 2106.037 +INF . 22 100.000 2115.865 +INF . 23 100.000 2113.990 +INF . 24 100.000 2104.261 +INF . 25 100.000 2089.341 +INF . 26 100.000 2071.076 +INF . 27 100.000 2050.737 +INF . 28 100.000 2029.202 +INF . 29 100.000 2007.074 +INF . 30 100.000 1984.763 +INF . 31 100.000 1962.550 +INF . 32 100.000 1940.622 +INF . 33 100.000 1919.102 +INF . 34 100.000 1898.071 +INF . 35 100.000 1877.577 +INF . 36 100.000 1857.650 +INF . 37 100.000 1838.302 +INF . 38 100.000 1819.538 +INF . 39 100.000 1801.355 +INF . 40 100.000 1783.745 +INF . 41 100.000 1766.698 +INF . 42 100.000 1750.202 +INF . 43 100.000 1734.242 +INF . 44 100.000 1718.805 +INF . 45 100.000 1703.875 +INF . 46 100.000 1689.438 +INF . 47 100.000 1675.479 +INF . 48 100.000 1661.983 +INF . 49 100.000 1648.935 +INF . 50 100.000 1641.066 +INF . 51 100.000 1699.466 +INF . 52 100.000 1743.177 +INF . 53 100.000 1782.212 +INF . 54 100.000 1820.249 +INF . 55 100.000 1863.621 +INF . 56 100.000 1887.041 +INF . 57 100.000 1940.665 +INF . 58 100.000 2132.442 +INF . 59 100.000 2395.163 +INF . 60 100.000 2738.579 +INF 1.8880E-4 ---- VAR ML Carbon concentration in lower oceans GtC LOWER LEVEL UPPER MARGINAL 1 1000.000 18365.000 +INF . 2 1000.000 18370.477 +INF . 3 1000.000 18377.219 +INF . 4 1000.000 18385.547 +INF . 5 1000.000 18395.642 +INF . 6 1000.000 18407.675 +INF . 7 1000.000 18421.801 +INF . 8 1000.000 18438.156 +INF . 9 1000.000 18456.853 +INF . 10 1000.000 18477.979 +INF . 11 1000.000 18501.600 +INF . 12 1000.000 18527.753 +INF . 13 1000.000 18556.453 +INF . 14 1000.000 18587.689 +INF . 15 1000.000 18621.417 +INF . 16 1000.000 18657.565 +INF . 17 1000.000 18696.021 +INF . 18 1000.000 18736.633 +INF . 19 1000.000 18779.194 +INF . 20 1000.000 18823.435 +INF . 21 1000.000 18869.007 +INF . 22 1000.000 18915.464 +INF . 23 1000.000 18962.268 +INF . 24 1000.000 19008.833 +INF . 25 1000.000 19054.765 +INF . 26 1000.000 19099.808 +INF . 27 1000.000 19143.798 +INF . 28 1000.000 19186.633 +INF . 29 1000.000 19228.259 +INF . 30 1000.000 19268.647 +INF . 31 1000.000 19307.795 +INF . 32 1000.000 19345.710 +INF . 33 1000.000 19382.410 +INF . 34 1000.000 19417.919 +INF . 35 1000.000 19452.266 +INF . 36 1000.000 19485.482 +INF . 37 1000.000 19517.597 +INF . 38 1000.000 19548.645 +INF . 39 1000.000 19578.658 +INF . 40 1000.000 19607.668 +INF . 41 1000.000 19635.708 +INF . 42 1000.000 19662.807 +INF . 43 1000.000 19688.997 +INF . 44 1000.000 19714.308 +INF . 45 1000.000 19738.767 +INF . 46 1000.000 19762.404 +INF . 47 1000.000 19785.246 +INF . 48 1000.000 19807.318 +INF . 49 1000.000 19828.646 +INF . 50 1000.000 19849.256 +INF . 51 1000.000 19869.408 +INF . 52 1000.000 19892.417 +INF . 53 1000.000 19917.539 +INF . 54 1000.000 19944.536 +INF . 55 1000.000 19973.350 +INF . 56 1000.000 20004.242 +INF . 57 1000.000 20036.209 +INF . 58 1000.000 20070.758 +INF . 59 1000.000 20114.788 +INF . 60 1000.000 20171.817 +INF . ---- VAR E CO2-equivalent emissions GtC LOWER LEVEL UPPER MARGINAL 1 . 85.320 +INF . 2 . 83.390 +INF . 3 . 90.616 +INF . 4 . 97.027 +INF . 5 . 102.587 +INF . 6 . 107.324 +INF . 7 . 111.266 +INF . 8 . 114.414 +INF . 9 . 116.750 +INF . 10 . 118.238 +INF . 11 . 118.728 +INF . 12 . 117.981 +INF . 13 . 115.786 +INF . 14 . 112.120 +INF . 15 . 106.146 +INF . 16 . 97.711 +INF . 17 . 85.827 +INF . 18 . 70.119 +INF . 19 . 49.028 +INF . 20 . 24.724 +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 . 0.096 +INF . 47 . 0.086 +INF . 48 . 25.138 +INF . 49 . 356.381 +INF . 50 . 46.035 +INF . 51 . 75.632 +INF . 52 . 88.833 +INF . 53 . 122.349 +INF . 54 . 0.041 +INF . 55 . 231.585 +INF . 56 . 856.624 +INF 3.2759E-5 57 . 749.698 +INF . 58 . 936.658 +INF . 59 . 573.326 +INF . 60 . 512.802 +INF 4.7555E-7 ---- VAR C Consumption trillions US dollars LOWER LEVEL UPPER MARGINAL 1 20.000 43.354 +INF . 2 20.000 54.199 +INF . 3 20.000 66.322 +INF . 4 20.000 79.624 +INF . 5 20.000 94.141 +INF . 6 20.000 109.993 +INF . 7 20.000 127.359 +INF . 8 20.000 146.451 +INF . 9 20.000 167.506 +INF . 10 20.000 190.785 +INF . 11 20.000 216.566 +INF . 12 20.000 245.179 +INF . 13 20.000 276.958 +INF . 14 20.000 312.270 +INF . 15 20.000 351.495 +INF . 16 20.000 395.065 +INF . 17 20.000 443.436 +INF . 18 20.000 497.137 +INF . 19 20.000 556.721 +INF . 20 20.000 622.998 +INF . 21 20.000 697.067 +INF . 22 20.000 781.220 +INF . 23 20.000 875.168 +INF . 24 20.000 979.578 +INF . 25 20.000 1095.248 +INF . 26 20.000 1223.095 +INF . 27 20.000 1364.155 +INF . 28 20.000 1519.569 +INF . 29 20.000 1690.586 +INF . 30 20.000 1878.558 +INF . 31 20.000 2084.947 +INF . 32 20.000 2311.318 +INF . 33 20.000 2559.351 +INF . 34 20.000 2830.842 +INF . 35 20.000 3127.708 +INF . 36 20.000 3451.991 +INF . 37 20.000 3805.867 +INF . 38 20.000 4191.650 +INF . 39 20.000 4611.796 +INF . 40 20.000 5068.915 +INF . 41 20.000 5565.770 +INF . 42 20.000 5123.787 +INF . 43 20.000 5450.850 +INF . 44 20.000 6626.999 +INF . 45 20.000 7616.219 +INF . 46 20.000 8529.736 +INF . 47 20.000 9429.483 +INF . 48 20.000 6136.765 +INF . 49 20.000 6362.904 +INF . 50 20.000 4803.388 +INF . 51 20.000 9068.334 +INF . 52 20.000 12043.172 +INF . 53 20.000 14252.306 +INF . 54 20.000 16091.746 +INF . 55 20.000 2555.522 +INF . 56 20.000 5719.575 +INF . 57 20.000 2791.337 +INF . 58 20.000 6874.471 +INF . 59 20.000 5443.471 +INF . 60 20.000 3200.938 +INF . ---- VAR K Capital stock trillions US dollars LOWER LEVEL UPPER MARGINAL 1 100.000 137.000 +INF . 2 100.000 170.053 +INF . 3 100.000 212.167 +INF . 4 100.000 261.043 +INF . 5 100.000 315.604 +INF . 6 100.000 375.572 +INF . 7 100.000 441.194 +INF . 8 100.000 513.056 +INF . 9 100.000 591.960 +INF . 10 100.000 678.859 +INF . 11 100.000 774.817 +INF . 12 100.000 880.991 +INF . 13 100.000 998.715 +INF . 14 100.000 1129.398 +INF . 15 100.000 1274.562 +INF . 16 100.000 1435.812 +INF . 17 100.000 1614.926 +INF . 18 100.000 1813.811 +INF . 19 100.000 2034.622 +INF . 20 100.000 2279.671 +INF . 21 100.000 2552.047 +INF . 22 100.000 2855.934 +INF . 23 100.000 3199.246 +INF . 24 100.000 3583.934 +INF . 25 100.000 4012.557 +INF . 26 100.000 4488.255 +INF . 27 100.000 5014.716 +INF . 28 100.000 5596.142 +INF . 29 100.000 6237.220 +INF . 30 100.000 6943.105 +INF . 31 100.000 7719.412 +INF . 32 100.000 8572.214 +INF . 33 100.000 9508.050 +INF . 34 100.000 10533.936 +INF . 35 100.000 11657.385 +INF . 36 100.000 12886.421 +INF . 37 100.000 14229.605 +INF . 38 100.000 15696.056 +INF . 39 100.000 17295.481 +INF . 40 100.000 19038.195 +INF . 41 100.000 20935.150 +INF . 42 100.000 12822.464 +INF 3.8876E-5 43 100.000 12746.962 +INF . 44 100.000 19818.785 +INF 2.2615E-5 45 100.000 25601.920 +INF . 46 100.000 30408.483 +INF . 47 100.000 34661.014 +INF . 48 100.000 6770.409 +INF 2.5156E-5 49 100.000 6278.015 +INF 2.2507E-5 50 100.000 2062.681 +INF . 51 100.000 14267.233 +INF . 52 100.000 30552.032 +INF 2.2994E-6 53 100.000 44620.760 +INF . 54 100.000 55757.110 +INF . 55 100.000 100.000 +INF 0.001 56 100.000 1250.864 +INF . 57 100.000 100.000 +INF 0.001 58 100.000 1789.145 +INF . 59 100.000 729.280 +INF . 60 100.000 100.000 +INF 5.4638E-4 ---- VAR CPC Per capita consumption thousands US dollars LOWER LEVEL UPPER MARGINAL 1 -INF 6.656 +INF . 2 -INF 7.602 +INF . 3 -INF 8.768 +INF . 4 -INF 10.117 +INF . 5 -INF 11.643 +INF . 6 -INF 13.353 +INF . 7 -INF 15.263 +INF . 8 -INF 17.393 +INF . 9 -INF 19.769 +INF . 10 -INF 22.417 +INF . 11 -INF 25.368 +INF . 12 -INF 28.657 +INF . 13 -INF 32.322 +INF . 14 -INF 36.404 +INF . 15 -INF 40.946 +INF . 16 -INF 45.996 +INF . 17 -INF 51.609 +INF . 18 -INF 57.843 +INF . 19 -INF 64.764 +INF . 20 -INF 72.464 +INF . 21 -INF 81.072 +INF . 22 -INF 90.854 +INF . 23 -INF 101.775 +INF . 24 -INF 113.913 +INF . 25 -INF 127.361 +INF . 26 -INF 142.226 +INF . 27 -INF 158.627 +INF . 28 -INF 176.697 +INF . 29 -INF 196.582 +INF . 30 -INF 218.439 +INF . 31 -INF 242.437 +INF . 32 -INF 268.759 +INF . 33 -INF 297.600 +INF . 34 -INF 329.168 +INF . 35 -INF 363.688 +INF . 36 -INF 401.395 +INF . 37 -INF 442.543 +INF . 38 -INF 487.401 +INF . 39 -INF 536.256 +INF . 40 -INF 589.409 +INF . 41 -INF 647.183 +INF . 42 -INF 595.789 +INF . 43 -INF 633.820 +INF . 44 -INF 770.581 +INF . 45 -INF 885.607 +INF . 46 -INF 991.830 +INF . 47 -INF 1096.452 +INF . 48 -INF 713.577 +INF . 49 -INF 739.873 +INF . 50 -INF 558.534 +INF . 51 -INF 1054.457 +INF . 52 -INF 1400.369 +INF . 53 -INF 1657.245 +INF . 54 -INF 1871.133 +INF . 55 -INF 297.154 +INF . 56 -INF 665.067 +INF . 57 -INF 324.574 +INF . 58 -INF 799.357 +INF . 59 -INF 632.962 +INF . 60 -INF 372.202 +INF . ---- VAR PCY Per capita income thousands US dollars LOWER LEVEL UPPER MARGINAL 1 -INF 8.533 +INF . 2 -INF 9.746 +INF . 3 -INF 11.241 +INF . 4 -INF 12.971 +INF . 5 -INF 14.927 +INF . 6 -INF 17.119 +INF . 7 -INF 19.567 +INF . 8 -INF 22.299 +INF . 9 -INF 25.345 +INF . 10 -INF 28.740 +INF . 11 -INF 32.523 +INF . 12 -INF 36.740 +INF . 13 -INF 41.439 +INF . 14 -INF 46.672 +INF . 15 -INF 52.494 +INF . 16 -INF 58.970 +INF . 17 -INF 66.165 +INF . 18 -INF 74.158 +INF . 19 -INF 83.031 +INF . 20 -INF 92.903 +INF . 21 -INF 103.939 +INF . 22 -INF 116.479 +INF . 23 -INF 130.481 +INF . 24 -INF 146.043 +INF . 25 -INF 163.284 +INF . 26 -INF 182.341 +INF . 27 -INF 203.368 +INF . 28 -INF 226.535 +INF . 29 -INF 252.029 +INF . 30 -INF 280.050 +INF . 31 -INF 310.817 +INF . 32 -INF 344.563 +INF . 33 -INF 381.538 +INF . 34 -INF 422.011 +INF . 35 -INF 466.266 +INF . 36 -INF 514.609 +INF . 37 -INF 567.363 +INF . 38 -INF 624.874 +INF . 39 -INF 687.507 +INF . 40 -INF 755.652 +INF . 41 -INF 829.721 +INF . 42 -INF 763.832 +INF . 43 -INF 812.590 +INF . 44 -INF 987.925 +INF . 45 -INF 1135.393 +INF . 46 -INF 1271.577 +INF . 47 -INF 1405.707 +INF . 48 -INF 914.843 +INF . 49 -INF 948.555 +INF . 50 -INF 716.069 +INF . 51 -INF 1351.869 +INF . 52 -INF 1795.345 +INF . 53 -INF 2124.673 +INF . 54 -INF 2398.889 +INF . 55 -INF 380.966 +INF . 56 -INF 852.650 +INF . 57 -INF 416.121 +INF . 58 -INF 1024.817 +INF . 59 -INF 811.489 +INF . 60 -INF 477.182 +INF . ---- VAR I Investment trillions US dollars LOWER LEVEL UPPER MARGINAL 1 . 12.228 +INF . 2 . 15.287 +INF . 3 . 18.707 +INF . 4 . 22.458 +INF . 5 . 26.553 +INF . 6 . 31.024 +INF . 7 . 35.922 +INF . 8 . 41.307 +INF . 9 . 47.246 +INF . 10 . 53.811 +INF . 11 . 61.083 +INF . 12 . 69.153 +INF . 13 . 78.117 +INF . 14 . 88.077 +INF . 15 . 99.140 +INF . 16 . 111.429 +INF . 17 . 125.072 +INF . 18 . 140.218 +INF . 19 . 157.024 +INF . 20 . 175.718 +INF . 21 . 196.609 +INF . 22 . 220.344 +INF . 23 . 246.843 +INF . 24 . 276.292 +INF . 25 . 308.916 +INF . 26 . 344.976 +INF . 27 . 384.762 +INF . 28 . 428.597 +INF . 29 . 476.832 +INF . 30 . 529.850 +INF . 31 . 588.062 +INF . 32 . 651.910 +INF . 33 . 721.868 +INF . 34 . 798.443 +INF . 35 . 882.174 +INF . 36 . 973.639 +INF . 37 . 1073.450 +INF . 38 . 1182.260 +INF . 39 . 1300.763 +INF . 40 . 1429.694 +INF . 41 . 1569.833 +INF . 42 . 1445.171 +INF . 43 . 1537.419 +INF . 44 . 1869.154 +INF . 45 . 2148.165 +INF . 46 . 2405.823 +INF . 47 . 2659.598 +INF . 48 . 1730.883 +INF . 49 . 1794.665 +INF . 50 . 1354.802 +INF . 51 . 2557.736 +INF . 52 . 3396.792 +INF . 53 . 4019.881 +INF . 54 . 4538.698 +INF . 55 . 720.788 +INF . 56 . 1613.214 +INF . 57 . 787.300 +INF . 58 . 1938.954 +INF . 59 . 1535.338 +INF . 60 . 902.829 +INF . ---- VAR S Gross savings rate as fraction of gross world product LOWER LEVEL UPPER MARGINAL 1 0.220 0.220 0.220 1936.125 2 0.220 0.220 0.220 -861.807 3 0.220 0.220 0.220 -1783.328 4 0.220 0.220 0.220 -1898.961 5 0.220 0.220 0.220 -1704.672 6 0.220 0.220 0.220 -1419.963 7 0.220 0.220 0.220 -1136.693 8 0.220 0.220 0.220 -888.882 9 0.220 0.220 0.220 -685.021 10 0.220 0.220 0.220 -523.051 11 0.220 0.220 0.220 -397.277 12 0.220 0.220 0.220 -300.035 13 0.220 0.220 0.220 -225.548 14 0.220 0.220 0.220 -168.760 15 0.220 0.220 0.220 -125.763 16 0.220 0.220 0.220 -93.266 17 0.220 0.220 0.220 -68.901 18 0.220 0.220 0.220 -50.788 19 0.220 0.220 0.220 -37.813 20 0.220 0.220 0.220 -28.808 21 0.220 0.220 0.220 -22.721 22 0.220 0.220 0.220 -17.074 23 0.220 0.220 0.220 -12.777 24 0.220 0.220 0.220 -9.544 25 0.220 0.220 0.220 -7.128 26 0.220 0.220 0.220 -5.325 27 0.220 0.220 0.220 -3.982 28 0.220 0.220 0.220 -2.980 29 0.220 0.220 0.220 -2.233 30 0.220 0.220 0.220 -1.675 31 0.220 0.220 0.220 -1.258 32 0.220 0.220 0.220 -0.948 33 0.220 0.220 0.220 -0.719 34 0.220 0.220 0.220 -0.554 35 0.220 0.220 0.220 -0.444 36 0.220 0.220 0.220 -0.385 37 0.220 0.220 0.220 -0.389 38 0.220 0.220 0.220 -0.483 39 0.220 0.220 0.220 -0.728 40 0.220 0.220 0.220 -1.247 41 0.220 0.220 0.220 -2.276 42 0.220 0.220 0.220 -2.130 43 0.220 0.220 0.220 -4.841 44 0.220 0.220 0.220 -0.123 45 0.220 0.220 0.220 -0.174 46 0.220 0.220 0.220 -0.299 47 0.220 0.220 0.220 -0.550 48 0.220 0.220 0.220 -0.728 49 0.220 0.220 0.220 -0.605 50 0.220 0.220 0.220 -2.771 51 0.220 0.220 0.220 -5.424 52 0.220 0.220 0.220 -0.038 53 0.220 0.220 0.220 -0.062 54 0.220 0.220 0.220 -0.114 55 0.220 0.220 0.220 -0.617 56 0.220 0.220 0.220 -0.237 57 0.220 0.220 0.220 -0.419 58 0.220 0.220 0.220 -0.147 59 0.220 0.220 0.220 -0.160 60 0.220 0.220 0.220 -0.234 ---- VAR RI Real interest rate per annum LOWER LEVEL UPPER MARGINAL 1 -INF 0.057 +INF . 2 -INF 0.057 +INF . 3 -INF 0.055 +INF . 4 -INF 0.052 +INF . 5 -INF 0.050 +INF . 6 -INF 0.048 +INF . 7 -INF 0.046 +INF . 8 -INF 0.045 +INF . 9 -INF 0.044 +INF . 10 -INF 0.043 +INF . 11 -INF 0.042 +INF . 12 -INF 0.042 +INF . 13 -INF 0.042 +INF . 14 -INF 0.041 +INF . 15 -INF 0.041 +INF . 16 -INF 0.041 +INF . 17 -INF 0.040 +INF . 18 -INF 0.040 +INF . 19 -INF 0.040 +INF . 20 -INF 0.040 +INF . 21 -INF 0.040 +INF . 22 -INF 0.040 +INF . 23 -INF 0.040 +INF . 24 -INF 0.040 +INF . 25 -INF 0.040 +INF . 26 -INF 0.040 +INF . 27 -INF 0.039 +INF . 28 -INF 0.039 +INF . 29 -INF 0.039 +INF . 30 -INF 0.039 +INF . 31 -INF 0.039 +INF . 32 -INF 0.039 +INF . 33 -INF 0.038 +INF . 34 -INF 0.038 +INF . 35 -INF 0.038 +INF . 36 -INF 0.038 +INF . 37 -INF 0.038 +INF . 38 -INF 0.038 +INF . 39 -INF 0.037 +INF . 40 -INF 0.037 +INF . 41 -INF 0.037 +INF . 42 -INF 0.089 +INF . 43 -INF 0.099 +INF . 44 -INF 0.063 +INF . 45 -INF 0.049 +INF . 46 -INF 0.043 +INF . 47 -INF 0.040 +INF . 48 -INF 0.283 +INF . 49 -INF 0.325 +INF . 50 -INF 0.831 +INF . 51 -INF 0.179 +INF . 52 -INF 0.086 +INF . 53 -INF 0.058 +INF . 54 -INF 0.046 +INF . 55 -INF 9.764 +INF . 56 -INF 1.694 +INF . 57 -INF 10.671 +INF . 58 -INF 1.413 +INF . 59 -INF 2.806 +INF . 60 -INF 12.246 +INF . ---- VAR Y Gross world product net of abatement and damages LOWER LEVEL UPPER MARGINAL 1 . 55.583 +INF . 2 . 69.487 +INF . 3 . 85.029 +INF . 4 . 102.082 +INF . 5 . 120.693 +INF . 6 . 141.017 +INF . 7 . 163.281 +INF . 8 . 187.757 +INF . 9 . 214.751 +INF . 10 . 244.596 +INF . 11 . 277.649 +INF . 12 . 314.332 +INF . 13 . 355.075 +INF . 14 . 400.347 +INF . 15 . 450.635 +INF . 16 . 506.494 +INF . 17 . 568.508 +INF . 18 . 637.356 +INF . 19 . 713.745 +INF . 20 . 798.715 +INF . 21 . 893.676 +INF . 22 . 1001.564 +INF . 23 . 1122.011 +INF . 24 . 1255.870 +INF . 25 . 1404.164 +INF . 26 . 1568.071 +INF . 27 . 1748.916 +INF . 28 . 1948.165 +INF . 29 . 2167.418 +INF . 30 . 2408.409 +INF . 31 . 2673.009 +INF . 32 . 2963.228 +INF . 33 . 3281.219 +INF . 34 . 3629.285 +INF . 35 . 4009.882 +INF . 36 . 4425.630 +INF . 37 . 4879.317 +INF . 38 . 5373.910 +INF . 39 . 5912.560 +INF . 40 . 6498.609 +INF . 41 . 7135.603 +INF . 42 . 6568.957 +INF . 43 . 6988.269 +INF . 44 . 8496.152 +INF . 45 . 9764.383 +INF . 46 . 10935.559 +INF . 47 . 12089.081 +INF . 48 . 7867.648 +INF . 49 . 8157.569 +INF . 50 . 6158.190 +INF . 51 . 11626.069 +INF . 52 . 15439.965 +INF . 53 . 18272.187 +INF . 54 . 20630.443 +INF . 55 . 3276.310 +INF . 56 . 7332.788 +INF . 57 . 3578.637 +INF . 58 . 8813.424 +INF 1.2977E-5 59 . 6978.809 +INF 1.7833E-5 60 . 4103.767 +INF . ---- VAR YGROSS Gross world product GROSS of abatement and damages LOWER LEVEL UPPER MARGINAL 1 . 55.667 +INF . 2 . 69.685 +INF . 3 . 85.391 +INF . 4 . 102.688 +INF . 5 . 121.641 +INF . 6 . 142.428 +INF . 7 . 165.301 +INF . 8 . 190.559 +INF . 9 . 218.540 +INF . 10 . 249.610 +INF . 11 . 284.167 +INF . 12 . 322.636 +INF . 13 . 365.489 +INF . 14 . 413.228 +INF . 15 . 466.399 +INF . 16 . 525.587 +INF . 17 . 591.429 +INF . 18 . 664.617 +INF . 19 . 745.907 +INF . 20 . 836.116 +INF . 21 . 936.193 +INF . 22 . 1047.257 +INF . 23 . 1170.887 +INF . 24 . 1308.063 +INF . 25 . 1459.889 +INF . 26 . 1627.596 +INF . 27 . 1812.546 +INF . 28 . 2016.224 +INF . 29 . 2240.248 +INF . 30 . 2486.364 +INF . 31 . 2756.453 +INF . 32 . 3052.532 +INF . 33 . 3376.764 +INF . 34 . 3731.459 +INF . 35 . 4119.084 +INF . 36 . 4542.270 +INF . 37 . 5003.815 +INF . 38 . 5506.697 +INF . 39 . 6054.080 +INF . 40 . 6649.320 +INF . 41 . 7295.977 +INF . 42 . 6712.066 +INF . 43 . 7135.872 +INF . 44 . 8670.167 +INF . 45 . 9958.353 +INF . 46 . 11146.296 +INF . 47 . 12315.126 +INF . 48 . 8010.434 +INF . 49 . 8308.776 +INF . 50 . 6309.212 +INF . 51 . 11943.781 +INF . 52 . 15896.017 +INF . 53 . 18850.308 +INF . 54 . 21319.445 +INF . 55 . 3381.149 +INF . 56 . 7623.572 +INF 2.4247E-5 57 . 3772.957 +INF . 58 . 9460.626 +INF . 59 . 7624.286 +INF . 60 . 4428.925 +INF . ---- VAR YNET Output net of damages equation LOWER LEVEL UPPER MARGINAL 1 -INF 55.583 +INF . 2 -INF 69.507 +INF . 3 -INF 85.063 +INF . 4 -INF 102.139 +INF . 5 -INF 120.781 +INF . 6 -INF 141.149 +INF . 7 -INF 163.474 +INF . 8 -INF 188.033 +INF . 9 -INF 215.139 +INF . 10 -INF 245.132 +INF . 11 -INF 278.380 +INF . 12 -INF 315.323 +INF . 13 -INF 356.409 +INF . 14 -INF 402.124 +INF . 15 -INF 453.002 +INF . 16 -INF 509.633 +INF . 17 -INF 572.681 +INF . 18 -INF 642.893 +INF . 19 -INF 721.137 +INF . 20 -INF 808.394 +INF . 21 -INF 905.801 +INF . 22 -INF 1014.464 +INF . 23 -INF 1135.752 +INF . 24 -INF 1270.518 +INF . 25 -INF 1419.785 +INF . 26 -INF 1584.736 +INF . 27 -INF 1766.698 +INF . 28 -INF 1967.141 +INF . 29 -INF 2187.671 +INF . 30 -INF 2430.027 +INF . 31 -INF 2696.087 +INF . 32 -INF 2987.867 +INF . 33 -INF 3307.526 +INF . 34 -INF 3657.374 +INF . 35 -INF 4039.875 +INF . 36 -INF 4457.657 +INF . 37 -INF 4913.518 +INF . 38 -INF 5410.430 +INF . 39 -INF 5951.556 +INF . 40 -INF 6540.247 +INF . 41 -INF 7180.059 +INF . 42 -INF 6608.789 +INF . 43 -INF 7029.546 +INF . 44 -INF 8545.078 +INF . 45 -INF 9819.248 +INF . 46 -INF 10995.562 +INF . 47 -INF 12153.907 +INF . 48 -INF 7907.335 +INF . 49 -INF 8180.616 +INF . 50 -INF 6186.353 +INF . 51 -INF 11678.770 +INF . 52 -INF 15509.206 +INF . 53 -INF 18351.513 +INF . 54 -INF 20726.495 +INF . 55 -INF 3281.071 +INF . 56 -INF 7336.129 +INF . 57 -INF 3578.637 +INF . 58 -INF 8818.765 +INF . 59 -INF 6986.337 +INF . 60 -INF 4105.044 +INF . ---- VAR DAMAGES Damages LOWER LEVEL UPPER MARGINAL 1 -INF 0.084 +INF . 2 -INF 0.178 +INF . 3 -INF 0.328 +INF . 4 -INF 0.549 +INF . 5 -INF 0.860 +INF . 6 -INF 1.279 +INF . 7 -INF 1.827 +INF . 8 -INF 2.526 +INF . 9 -INF 3.401 +INF . 10 -INF 4.479 +INF . 11 -INF 5.787 +INF . 12 -INF 7.313 +INF . 13 -INF 9.080 +INF . 14 -INF 11.105 +INF . 15 -INF 13.397 +INF . 16 -INF 15.954 +INF . 17 -INF 18.749 +INF . 18 -INF 21.724 +INF . 19 -INF 24.770 +INF . 20 -INF 27.722 +INF . 21 -INF 30.392 +INF . 22 -INF 32.793 +INF . 23 -INF 35.135 +INF . 24 -INF 37.546 +INF . 25 -INF 40.104 +INF . 26 -INF 42.861 +INF . 27 -INF 45.847 +INF . 28 -INF 49.083 +INF . 29 -INF 52.577 +INF . 30 -INF 56.337 +INF . 31 -INF 60.365 +INF . 32 -INF 64.665 +INF . 33 -INF 69.238 +INF . 34 -INF 74.085 +INF . 35 -INF 79.209 +INF . 36 -INF 84.612 +INF . 37 -INF 90.297 +INF . 38 -INF 96.267 +INF . 39 -INF 102.524 +INF . 40 -INF 109.073 +INF . 41 -INF 115.918 +INF . 42 -INF 103.278 +INF . 43 -INF 106.326 +INF . 44 -INF 125.089 +INF . 45 -INF 139.105 +INF . 46 -INF 150.734 +INF . 47 -INF 161.219 +INF . 48 -INF 103.099 +INF . 49 -INF 128.159 +INF . 50 -INF 122.858 +INF . 51 -INF 265.011 +INF . 52 -INF 386.811 +INF . 53 -INF 498.795 +INF . 54 -INF 592.950 +INF . 55 -INF 100.078 +INF . 56 -INF 287.442 +INF . 57 -INF 194.320 +INF . 58 -INF 641.861 +INF . 59 -INF 637.948 +INF . 60 -INF 323.881 +INF . ---- VAR ABATECOST Cost of emissions reductions LOWER LEVEL UPPER MARGINAL 1 -INF 1.3292E-5 +INF . 2 -INF 0.020 +INF . 3 -INF 0.035 +INF . 4 -INF 0.057 +INF . 5 -INF 0.088 +INF . 6 -INF 0.133 +INF . 7 -INF 0.195 +INF . 8 -INF 0.280 +INF . 9 -INF 0.394 +INF . 10 -INF 0.545 +INF . 11 -INF 0.747 +INF . 12 -INF 1.014 +INF . 13 -INF 1.368 +INF . 14 -INF 1.826 +INF . 15 -INF 2.437 +INF . 16 -INF 3.237 +INF . 17 -INF 4.309 +INF . 18 -INF 5.725 +INF . 19 -INF 7.645 +INF . 20 -INF 10.011 +INF . 21 -INF 12.532 +INF . 22 -INF 13.317 +INF . 23 -INF 14.166 +INF . 24 -INF 15.081 +INF . 25 -INF 16.063 +INF . 26 -INF 17.116 +INF . 27 -INF 18.243 +INF . 28 -INF 19.450 +INF . 29 -INF 20.740 +INF . 30 -INF 22.120 +INF . 31 -INF 23.595 +INF . 32 -INF 25.172 +INF . 33 -INF 26.858 +INF . 34 -INF 28.658 +INF . 35 -INF 30.582 +INF . 36 -INF 32.636 +INF . 37 -INF 34.829 +INF . 38 -INF 37.170 +INF . 39 -INF 39.668 +INF . 40 -INF 42.332 +INF . 41 -INF 45.174 +INF . 42 -INF 40.454 +INF . 43 -INF 41.901 +INF . 44 -INF 49.642 +INF . 45 -INF 55.642 +INF . 46 -INF 60.826 +INF . 47 -INF 65.685 +INF . 48 -INF 40.205 +INF . 49 -INF 23.408 +INF . 50 -INF 28.723 +INF . 51 -INF 53.897 +INF . 52 -INF 70.968 +INF . 53 -INF 81.482 +INF . 54 -INF 98.799 +INF . 55 -INF 4.906 +INF . 56 -INF 3.472 +INF . 57 -INF . +INF . 58 -INF 5.729 +INF . 59 -INF 8.215 +INF . 60 -INF 1.378 +INF . ---- VAR CCA Cumulative industrial carbon emissions GTC LOWER LEVEL UPPER MARGINAL 1 . . 6000.000 . 2 . 85.320 6000.000 . 3 . 168.710 6000.000 . 4 . 259.327 6000.000 . 5 . 356.354 6000.000 . 6 . 458.941 6000.000 . 7 . 566.265 6000.000 . 8 . 677.531 6000.000 . 9 . 791.944 6000.000 . 10 . 908.694 6000.000 . 11 . 1026.932 6000.000 . 12 . 1145.660 6000.000 . 13 . 1263.641 6000.000 . 14 . 1379.428 6000.000 . 15 . 1491.547 6000.000 . 16 . 1597.693 6000.000 . 17 . 1695.404 6000.000 . 18 . 1781.231 6000.000 . 19 . 1851.350 6000.000 . 20 . 1900.378 6000.000 . 21 . 1925.102 6000.000 . 22 . 1926.439 6000.000 . 23 . 1927.643 6000.000 . 24 . 1928.726 6000.000 . 25 . 1929.701 6000.000 . 26 . 1930.579 6000.000 . 27 . 1931.368 6000.000 . 28 . 1932.079 6000.000 . 29 . 1932.719 6000.000 . 30 . 1933.294 6000.000 . 31 . 1933.812 6000.000 . 32 . 1934.279 6000.000 . 33 . 1934.698 6000.000 . 34 . 1935.076 6000.000 . 35 . 1935.416 6000.000 . 36 . 1935.722 6000.000 . 37 . 1935.997 6000.000 . 38 . 1936.245 6000.000 . 39 . 1936.468 6000.000 . 40 . 1936.669 6000.000 . 41 . 1936.849 6000.000 . 42 . 1937.012 6000.000 . 43 . 1937.158 6000.000 . 44 . 1937.290 6000.000 . 45 . 1937.409 6000.000 . 46 . 1937.515 6000.000 . 47 . 1937.611 6000.000 . 48 . 1937.698 6000.000 . 49 . 1962.836 6000.000 . 50 . 2319.217 6000.000 . 51 . 2365.252 6000.000 . 52 . 2440.884 6000.000 . 53 . 2529.717 6000.000 . 54 . 2652.067 6000.000 . 55 . 2652.108 6000.000 . 56 . 2883.693 6000.000 . 57 . 3740.318 6000.000 . 58 . 4490.015 6000.000 . 59 . 5426.674 6000.000 . 60 . 6000.000 6000.000 -2.317E-6 ---- VAR PERIODU One period utility function LOWER LEVEL UPPER MARGINAL 1 -INF -149.250 +INF . 2 -INF -130.552 +INF . 3 -INF -113.051 +INF . 4 -INF -97.840 +INF . 5 -INF -84.889 +INF . 6 -INF -73.891 +INF . 7 -INF -64.520 +INF . 8 -INF -56.494 +INF . 9 -INF -49.584 +INF . 10 -INF -43.608 +INF . 11 -INF -38.420 +INF . 12 -INF -33.895 +INF . 13 -INF -29.939 +INF . 14 -INF -26.470 +INF . 15 -INF -23.423 +INF . 16 -INF -20.741 +INF . 17 -INF -18.377 +INF . 18 -INF -16.288 +INF . 19 -INF -14.441 +INF . 20 -INF -12.800 +INF . 21 -INF -11.335 +INF . 22 -INF -10.007 +INF . 23 -INF -8.826 +INF . 24 -INF -7.779 +INF . 25 -INF -6.852 +INF . 26 -INF -6.031 +INF . 27 -INF -5.304 +INF . 28 -INF -4.659 +INF . 29 -INF -4.087 +INF . 30 -INF -3.578 +INF . 31 -INF -3.125 +INF . 32 -INF -2.721 +INF . 33 -INF -2.360 +INF . 34 -INF -2.038 +INF . 35 -INF -1.750 +INF . 36 -INF -1.491 +INF . 37 -INF -1.260 +INF . 38 -INF -1.052 +INF . 39 -INF -0.865 +INF . 40 -INF -0.697 +INF . 41 -INF -0.545 +INF . 42 -INF -0.678 +INF . 43 -INF -0.578 +INF . 44 -INF -0.298 +INF . 45 -INF -0.129 +INF . 46 -INF -0.008 +INF . 47 -INF 0.088 +INF . 48 -INF -0.401 +INF . 49 -INF -0.352 +INF . 50 -INF -0.790 +INF . 51 -INF 0.052 +INF . 52 -INF 0.286 +INF . 53 -INF 0.397 +INF . 54 -INF 0.466 +INF . 55 -INF -2.365 +INF . 56 -INF -0.504 +INF . 57 -INF -2.081 +INF . 58 -INF -0.251 +INF . 59 -INF -0.580 +INF . 60 -INF -1.687 +INF . LOWER LEVEL UPPER MARGINAL ---- VAR UTILITY -INF 1.5016E+5 +INF . **** REPORT SUMMARY : 0 NONOPT 0 INFEASIBLE 0 UNBOUNDED 0 ERRORS GAMS Rev 237 LEX-LEG 23.7.1 x86_64/Linux 09/14/11 00:04:35 Page 10 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Model Statistics SOLVE CO2 Using NLP From line 310 MODEL STATISTICS BLOCKS OF EQUATIONS 30 SINGLE EQUATIONS 1,263 BLOCKS OF VARIABLES 24 SINGLE VARIABLES 1,381 NON ZERO ELEMENTS 3,767 NON LINEAR N-Z 1,080 DERIVATIVE POOL 6 CONSTANT POOL 327 CODE LENGTH 5,643 GENERATION TIME = 0.003 SECONDS 3 Mb LEX237-237 Jul 7, 2011 EXECUTION TIME = 0.008 SECONDS 3 Mb LEX237-237 Jul 7, 2011 GAMS Rev 237 LEX-LEG 23.7.1 x86_64/Linux 09/14/11 00:04:35 Page 11 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Solution Report SOLVE CO2 Using NLP From line 310 S O L V E S U M M A R Y MODEL CO2 OBJECTIVE UTILITY TYPE NLP DIRECTION MAXIMIZE SOLVER MINOS FROM LINE 310 **** SOLVER STATUS 1 Normal Completion **** MODEL STATUS 2 Locally Optimal **** OBJECTIVE VALUE 150161.8263 RESOURCE USAGE, LIMIT 0.010 99999.000 ITERATION COUNT, LIMIT 3 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: 150161.8 ---- EQU CCTFIRST First period cumulative carbon LOWER LEVEL UPPER MARGINAL 1 . . . EPS ---- EQU CCACCA Cumulative carbon emissions LOWER LEVEL UPPER MARGINAL 2 . . . EPS 3 . . . EPS 4 . . . EPS 5 . . . EPS 6 . . . EPS 7 . . . EPS 8 . . . EPS 9 . . . EPS 10 . . . EPS 11 . . . EPS 12 . . . EPS 13 . . . EPS 14 . . . EPS 15 . . . EPS 16 . . . EPS 17 . . . EPS 18 . . . EPS 19 . . . EPS 20 . . . EPS 21 . . . EPS 22 . . . EPS 23 . . . EPS 24 . . . EPS 25 . . . EPS 26 . . . EPS 27 . . . EPS 28 . . . EPS 29 . . . EPS 30 . . . EPS 31 . . . EPS 32 . . . EPS 33 . . . EPS 34 . . . EPS 35 . . . EPS 36 . . . EPS 37 . . . EPS 38 . . . EPS 39 . . . EPS 40 . . . EPS 41 . . . EPS 42 . . . EPS 43 . . . EPS 44 . . . EPS 45 . . . EPS 46 . . . EPS 47 . . . EPS 48 . . . EPS 49 . . . EPS 50 . . . EPS 51 . . . EPS 52 . . . EPS 53 . . . EPS 54 . . . EPS 55 . . . EPS 56 . . . EPS 57 . . . EPS 58 . . . EPS 59 . . . EPS 60 . . . EPS LOWER LEVEL UPPER MARGINAL ---- EQU UTIL 3.8180E+5 3.8180E+5 3.8180E+5 1.000 UTIL Objective function ---- EQU YY Output net equation LOWER LEVEL UPPER MARGINAL 1 . . . 1171.332 2 . . . 765.926 3 . . . 493.212 4 . . . 318.074 5 . . . 206.510 6 . . . 135.112 7 . . . 89.038 8 . . . 59.050 9 . . . 39.380 10 . . . 26.389 11 . . . 17.758 12 . . . 11.993 13 . . . 8.126 14 . . . 5.522 15 . . . 3.763 16 . . . 2.571 17 . . . 1.761 18 . . . 1.208 19 . . . 0.831 20 . . . 0.572 21 . . . 0.394 22 . . . 0.270 23 . . . 0.186 24 . . . 0.128 25 . . . 0.088 26 . . . 0.061 27 . . . 0.042 28 . . . 0.029 29 . . . 0.020 30 . . . 0.014 31 . . . 0.010 32 . . . 0.007 33 . . . 0.005 34 . . . 0.003 35 . . . 0.002 36 . . . 0.002 37 . . . 0.001 38 . . . 8.5922E-4 39 . . . 5.9858E-4 40 . . . 4.0406E-4 41 . . . 2.4878E-4 42 . . . 2.5295E-4 43 . . . 2.4234E-4 44 . . . 1.4075E-4 45 . . . 8.9969E-5 46 . . . 5.8482E-5 47 . . . 3.5476E-5 48 . . . 7.2172E-5 49 . . . 5.7847E-5 50 . . . 1.3155E-5 51 . . . 2.6204E-5 52 . . . 1.2697E-5 53 . . . 7.4051E-6 54 . . . 4.2962E-6 55 . . . 1.4678E-4 56 . . . EPS 57 . . . 9.1344E-5 58 . . . EPS 59 . . . EPS 60 . . . EPS ---- EQU YNETEQ Output net of damages equation LOWER LEVEL UPPER MARGINAL 1 . . . EPS 2 . . . EPS 3 . . . EPS 4 . . . EPS 5 . . . EPS 6 . . . EPS 7 . . . EPS 8 . . . EPS 9 . . . EPS 10 . . . EPS 11 . . . EPS 12 . . . EPS 13 . . . EPS 14 . . . EPS 15 . . . EPS 16 . . . EPS 17 . . . EPS 18 . . . EPS 19 . . . EPS 20 . . . EPS 21 . . . EPS 22 . . . EPS 23 . . . EPS 24 . . . EPS 25 . . . EPS 26 . . . EPS 27 . . . EPS 28 . . . EPS 29 . . . EPS 30 . . . EPS 31 . . . EPS 32 . . . EPS 33 . . . EPS 34 . . . EPS 35 . . . EPS 36 . . . EPS 37 . . . EPS 38 . . . EPS 39 . . . EPS 40 . . . EPS 41 . . . EPS 42 . . . EPS 43 . . . EPS 44 . . . EPS 45 . . . EPS 46 . . . EPS 47 . . . EPS 48 . . . EPS 49 . . . EPS 50 . . . EPS 51 . . . EPS 52 . . . EPS 53 . . . EPS 54 . . . EPS 55 . . . EPS 56 . . . EPS 57 . . . EPS 58 . . . EPS 59 . . . EPS 60 . . . EPS ---- EQU YGROSSEQ Output gross equation LOWER LEVEL UPPER MARGINAL 1 . . . 1169.559 2 . . . 763.742 3 . . . 491.118 4 . . . 316.199 5 . . . 204.902 6 . . . 133.773 7 . . . 87.950 8 . . . 58.182 9 . . . 38.697 10 . . . 25.858 11 . . . 17.351 12 . . . 11.684 13 . . . 7.894 14 . . . 5.350 15 . . . 3.636 16 . . . 2.477 17 . . . 1.692 18 . . . 1.159 19 . . . 0.795 20 . . . 0.546 21 . . . 0.376 22 . . . 0.258 23 . . . 0.178 24 . . . 0.123 25 . . . 0.085 26 . . . 0.059 27 . . . 0.041 28 . . . 0.028 29 . . . 0.020 30 . . . 0.014 31 . . . 0.010 32 . . . 0.007 33 . . . 0.005 34 . . . 0.003 35 . . . 0.002 36 . . . 0.002 37 . . . 0.001 38 . . . 8.3850E-4 39 . . . 5.8459E-4 40 . . . 3.9491E-4 41 . . . 2.4332E-4 42 . . . 2.4755E-4 43 . . . 2.3733E-4 44 . . . 1.3792E-4 45 . . . 8.8216E-5 46 . . . 5.7376E-5 47 . . . 3.4825E-5 48 . . . 7.0886E-5 49 . . . 5.6794E-5 50 . . . 1.2840E-5 51 . . . 2.5507E-5 52 . . . 1.2333E-5 53 . . . 7.1779E-6 54 . . . 4.1573E-6 55 . . . 1.4223E-4 56 . . . EPS 57 . . . 8.6640E-5 58 . . . EPS 59 . . . EPS 60 . . . EPS ---- EQU DAMEQ Damage equation LOWER LEVEL UPPER MARGINAL 1 . . . EPS 2 . . . EPS 3 . . . EPS 4 . . . EPS 5 . . . EPS 6 . . . EPS 7 . . . EPS 8 . . . EPS 9 . . . EPS 10 . . . EPS 11 . . . EPS 12 . . . EPS 13 . . . EPS 14 . . . EPS 15 . . . EPS 16 . . . EPS 17 . . . EPS 18 . . . EPS 19 . . . EPS 20 . . . EPS 21 . . . EPS 22 . . . EPS 23 . . . EPS 24 . . . EPS 25 . . . EPS 26 . . . EPS 27 . . . EPS 28 . . . EPS 29 . . . EPS 30 . . . EPS 31 . . . EPS 32 . . . EPS 33 . . . EPS 34 . . . EPS 35 . . . EPS 36 . . . EPS 37 . . . EPS 38 . . . EPS 39 . . . EPS 40 . . . EPS 41 . . . EPS 42 . . . EPS 43 . . . EPS 44 . . . EPS 45 . . . EPS 46 . . . EPS 47 . . . EPS 48 . . . EPS 49 . . . EPS 50 . . . EPS 51 . . . EPS 52 . . . EPS 53 . . . EPS 54 . . . EPS 55 . . . EPS 56 . . . EPS 57 . . . EPS 58 . . . EPS 59 . . . EPS 60 . . . EPS ---- EQU ABATEEQ Cost of emissions reductions equation LOWER LEVEL UPPER MARGINAL 1 . . . EPS 2 . . . EPS 3 . . . EPS 4 . . . EPS 5 . . . EPS 6 . . . EPS 7 . . . EPS 8 . . . EPS 9 . . . EPS 10 . . . EPS 11 . . . EPS 12 . . . EPS 13 . . . EPS 14 . . . EPS 15 . . . EPS 16 . . . EPS 17 . . . EPS 18 . . . EPS 19 . . . EPS 20 . . . EPS 21 . . . EPS 22 . . . EPS 23 . . . EPS 24 . . . EPS 25 . . . EPS 26 . . . EPS 27 . . . EPS 28 . . . EPS 29 . . . EPS 30 . . . EPS 31 . . . EPS 32 . . . EPS 33 . . . EPS 34 . . . EPS 35 . . . EPS 36 . . . EPS 37 . . . EPS 38 . . . EPS 39 . . . EPS 40 . . . EPS 41 . . . EPS 42 . . . EPS 43 . . . EPS 44 . . . EPS 45 . . . EPS 46 . . . EPS 47 . . . EPS 48 . . . EPS 49 . . . EPS 50 . . . EPS 51 . . . EPS 52 . . . EPS 53 . . . EPS 54 . . . EPS 55 . . . EPS 56 . . . EPS 57 . . . EPS 58 . . . EPS 59 . . . EPS 60 . . . EPS ---- EQU CC Consumption equation LOWER LEVEL UPPER MARGINAL 1 . . . 1163.668 2 . . . 768.654 3 . . . 497.826 4 . . . 322.167 5 . . . 209.617 6 . . . 137.327 7 . . . 90.569 8 . . . 60.092 9 . . . 40.082 10 . . . 26.859 11 . . . 18.073 12 . . . 12.203 13 . . . 8.266 14 . . . 5.615 15 . . . 3.824 16 . . . 2.611 17 . . . 1.787 18 . . . 1.226 19 . . . 0.843 20 . . . 0.580 21 . . . 0.399 22 . . . 0.274 23 . . . 0.188 24 . . . 0.129 25 . . . 0.089 26 . . . 0.062 27 . . . 0.043 28 . . . 0.030 29 . . . 0.021 30 . . . 0.014 31 . . . 0.010 32 . . . 0.007 33 . . . 0.005 34 . . . 0.003 35 . . . 0.002 36 . . . 0.002 37 . . . 0.001 38 . . . 8.7900E-4 39 . . . 6.2569E-4 40 . . . 4.4628E-4 41 . . . 3.1895E-4 42 . . . 3.2429E-4 43 . . . 2.4690E-4 44 . . . 1.4393E-4 45 . . . 9.3898E-5 46 . . . 6.4507E-5 47 . . . 4.5482E-5 48 . . . 9.2529E-5 49 . . . 7.4162E-5 50 . . . 1.1213E-4 51 . . . 2.7109E-5 52 . . . 1.3244E-5 53 . . . 8.1486E-6 54 . . . 5.5079E-6 55 . . . 1.8818E-4 56 . . . 3.2370E-5 57 . . . 1.1711E-4 58 . . . 1.6637E-5 59 . . . 2.2863E-5 60 . . . 5.6974E-5 ---- EQU KK Capital balance equation LOWER LEVEL UPPER MARGINAL 1 -INF . . 119.850 2 -INF . . 75.625 3 -INF . . 47.685 4 -INF . . 30.356 5 -INF . . 19.549 6 -INF . . 12.726 7 -INF . . 8.361 8 -INF . . 5.536 9 -INF . . 3.689 10 -INF . . 2.472 11 -INF . . 1.664 12 -INF . . 1.125 13 -INF . . 0.763 14 -INF . . 0.519 15 -INF . . 0.355 16 -INF . . 0.243 17 -INF . . 0.167 18 -INF . . 0.115 19 -INF . . 0.079 20 -INF . . 0.054 21 -INF . . 0.037 22 -INF . . 0.026 23 -INF . . 0.018 24 -INF . . 0.012 25 -INF . . 0.008 26 -INF . . 0.006 27 -INF . . 0.004 28 -INF . . 0.003 29 -INF . . 0.002 30 -INF . . 0.001 31 -INF . . 9.6029E-4 32 -INF . . 6.7432E-4 33 -INF . . 4.7444E-4 34 -INF . . 3.3432E-4 35 -INF . . 2.3570E-4 36 -INF . . 1.6585E-4 37 -INF . . 1.1577E-4 38 -INF . . 7.8909E-5 39 -INF . . 5.0248E-5 40 -INF . . 2.5439E-5 41 -INF -1.018E+4 . . 42 -INF -6175.664 . . 43 -INF . . 2.2615E-5 44 -INF . . 1.2945E-5 45 -INF . . 7.6037E-6 46 -INF . . 3.7120E-6 47 -INF -3.191E+4 . . 48 -INF -1.339E+4 . . 49 -INF -1.807E+4 . . 50 -INF . . EPS 51 -INF . . 2.2994E-6 52 -INF . . 1.0756E-6 53 -INF . . 4.7688E-7 54 -INF -6.473E+4 . . 55 -INF -5991.887 . . 56 -INF -1.647E+4 . . 57 -INF -6118.725 . . 58 -INF -1.928E+4 . . 59 -INF -1.551E+4 . . 60 -INF -9063.157 . . ---- EQU KK0 Initial condition for capital LOWER LEVEL UPPER MARGINAL 1 137.000 137.000 137.000 183.834 ---- EQU KC Terminal condition for capital LOWER LEVEL UPPER MARGINAL 60 -INF -900.829 . . ---- 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 -3.214 2 9.900 9.900 9.900 -3.162 3 8.910 8.910 8.910 -2.597 4 8.019 8.019 8.019 -2.099 5 7.217 7.217 7.217 -1.678 6 6.495 6.495 6.495 -1.330 7 5.846 5.846 5.846 -1.047 8 5.261 5.261 5.261 -0.821 9 4.735 4.735 4.735 -0.642 10 4.262 4.262 4.262 -0.499 11 3.835 3.835 3.835 -0.388 12 3.452 3.452 3.452 -0.301 13 3.107 3.107 3.107 -0.233 14 2.796 2.796 2.796 -0.181 15 2.516 2.516 2.516 -0.140 16 2.265 2.265 2.265 -0.109 17 2.038 2.038 2.038 -0.085 18 1.834 1.834 1.834 -0.066 19 1.651 1.651 1.651 -0.052 20 1.486 1.486 1.486 -0.040 21 1.337 1.337 1.337 -0.031 22 1.204 1.204 1.204 -0.024 23 1.083 1.083 1.083 -0.019 24 0.975 0.975 0.975 -0.015 25 0.877 0.877 0.877 -0.011 26 0.790 0.790 0.790 -0.009 27 0.711 0.711 0.711 -0.007 28 0.640 0.640 0.640 -0.005 29 0.576 0.576 0.576 -0.004 30 0.518 0.518 0.518 -0.003 31 0.466 0.466 0.466 -0.002 32 0.420 0.420 0.420 -0.002 33 0.378 0.378 0.378 -0.001 34 0.340 0.340 0.340 -0.001 35 0.306 0.306 0.306 -8.927E-4 36 0.275 0.275 0.275 -6.903E-4 37 0.248 0.248 0.248 -5.335E-4 38 0.223 0.223 0.223 -4.129E-4 39 0.201 0.201 0.201 -3.214E-4 40 0.181 0.181 0.181 -2.532E-4 41 0.163 0.163 0.163 -2.023E-4 42 0.146 0.146 0.146 -1.595E-4 43 0.132 0.132 0.132 -1.195E-4 44 0.119 0.119 0.119 -8.640E-5 45 0.107 0.107 0.107 -6.161E-5 46 0.096 0.096 0.096 -4.169E-5 47 0.086 0.086 0.086 -2.383E-5 48 0.078 0.078 0.078 -4.453E-6 49 0.070 0.070 0.070 -2.479E-6 50 0.063 0.063 0.063 -7.715E-7 51 0.057 0.057 0.057 -1.538E-6 52 0.051 0.051 0.051 -7.449E-7 53 0.046 0.046 0.046 -4.282E-7 54 0.041 0.041 0.041 -1.338E-5 55 0.037 0.037 0.037 -4.263E-6 56 0.033 0.033 0.033 EPS 57 0.030 0.030 0.030 -1.892E-6 58 0.027 0.027 0.027 EPS 59 0.024 0.024 0.024 EPS 60 0.022 0.022 0.022 EPS ---- EQU SEQ Savings rate equation LOWER LEVEL UPPER MARGINAL 1 . . . -1936.125 2 . . . 861.807 3 . . . 1783.328 4 . . . 1898.961 5 . . . 1704.672 6 . . . 1419.963 7 . . . 1136.693 8 . . . 888.882 9 . . . 685.021 10 . . . 523.051 11 . . . 397.277 12 . . . 300.035 13 . . . 225.548 14 . . . 168.760 15 . . . 125.763 16 . . . 93.266 17 . . . 68.901 18 . . . 50.788 19 . . . 37.813 20 . . . 28.808 21 . . . 22.721 22 . . . 17.074 23 . . . 12.777 24 . . . 9.544 25 . . . 7.128 26 . . . 5.325 27 . . . 3.982 28 . . . 2.980 29 . . . 2.233 30 . . . 1.675 31 . . . 1.258 32 . . . 0.948 33 . . . 0.719 34 . . . 0.554 35 . . . 0.444 36 . . . 0.385 37 . . . 0.389 38 . . . 0.483 39 . . . 0.728 40 . . . 1.247 41 . . . 2.276 42 . . . 2.130 43 . . . 0.145 44 . . . 0.123 45 . . . 0.174 46 . . . 0.299 47 . . . 0.550 48 . . . 0.728 49 . . . 0.605 50 . . . 2.771 51 . . . 0.048 52 . . . 0.038 53 . . . 0.062 54 . . . 0.114 55 . . . 0.617 56 . . . 0.237 57 . . . 0.419 58 . . . 0.147 59 . . . 0.160 60 . . . 0.234 ---- EQU RIEQ Interest rate equation LOWER LEVEL UPPER MARGINAL 1 -0.065 -0.065 -0.065 EPS 2 -0.065 -0.065 -0.065 EPS 3 -0.065 -0.065 -0.065 EPS 4 -0.065 -0.065 -0.065 EPS 5 -0.065 -0.065 -0.065 EPS 6 -0.065 -0.065 -0.065 EPS 7 -0.065 -0.065 -0.065 EPS 8 -0.065 -0.065 -0.065 EPS 9 -0.065 -0.065 -0.065 EPS 10 -0.065 -0.065 -0.065 EPS 11 -0.065 -0.065 -0.065 EPS 12 -0.065 -0.065 -0.065 EPS 13 -0.065 -0.065 -0.065 EPS 14 -0.065 -0.065 -0.065 EPS 15 -0.065 -0.065 -0.065 EPS 16 -0.065 -0.065 -0.065 EPS 17 -0.065 -0.065 -0.065 EPS 18 -0.065 -0.065 -0.065 EPS 19 -0.065 -0.065 -0.065 EPS 20 -0.065 -0.065 -0.065 EPS 21 -0.065 -0.065 -0.065 EPS 22 -0.065 -0.065 -0.065 EPS 23 -0.065 -0.065 -0.065 EPS 24 -0.065 -0.065 -0.065 EPS 25 -0.065 -0.065 -0.065 EPS 26 -0.065 -0.065 -0.065 EPS 27 -0.065 -0.065 -0.065 EPS 28 -0.065 -0.065 -0.065 EPS 29 -0.065 -0.065 -0.065 EPS 30 -0.065 -0.065 -0.065 EPS 31 -0.065 -0.065 -0.065 EPS 32 -0.065 -0.065 -0.065 EPS 33 -0.065 -0.065 -0.065 EPS 34 -0.065 -0.065 -0.065 EPS 35 -0.065 -0.065 -0.065 EPS 36 -0.065 -0.065 -0.065 EPS 37 -0.065 -0.065 -0.065 EPS 38 -0.065 -0.065 -0.065 EPS 39 -0.065 -0.065 -0.065 EPS 40 -0.065 -0.065 -0.065 EPS 41 -0.065 -0.065 -0.065 EPS 42 -0.065 -0.065 -0.065 EPS 43 -0.065 -0.065 -0.065 EPS 44 -0.065 -0.065 -0.065 EPS 45 -0.065 -0.065 -0.065 EPS 46 -0.065 -0.065 -0.065 EPS 47 -0.065 -0.065 -0.065 EPS 48 -0.065 -0.065 -0.065 EPS 49 -0.065 -0.065 -0.065 EPS 50 -0.065 -0.065 -0.065 EPS 51 -0.065 -0.065 -0.065 EPS 52 -0.065 -0.065 -0.065 EPS 53 -0.065 -0.065 -0.065 EPS 54 -0.065 -0.065 -0.065 EPS 55 -0.065 -0.065 -0.065 EPS 56 -0.065 -0.065 -0.065 EPS 57 -0.065 -0.065 -0.065 EPS 58 -0.065 -0.065 -0.065 EPS 59 -0.065 -0.065 -0.065 EPS 60 -0.065 -0.065 -0.065 EPS ---- EQU FORCE Radiative forcing equation LOWER LEVEL UPPER MARGINAL 1 -0.060 -0.060 -0.060 EPS 2 -0.024 -0.024 -0.024 -162.040 3 0.012 0.012 0.012 -147.994 4 0.048 0.048 0.048 -130.478 5 0.084 0.084 0.084 -112.273 6 0.120 0.120 0.120 -94.908 7 0.156 0.156 0.156 -79.149 8 0.192 0.192 0.192 -65.300 9 0.228 0.228 0.228 -53.399 10 0.264 0.264 0.264 -43.336 11 0.300 0.300 0.300 -34.925 12 0.300 0.300 0.300 -27.948 13 0.300 0.300 0.300 -22.235 14 0.300 0.300 0.300 -17.601 15 0.300 0.300 0.300 -13.867 16 0.300 0.300 0.300 -10.871 17 0.300 0.300 0.300 -8.478 18 0.300 0.300 0.300 -6.572 19 0.300 0.300 0.300 -5.059 20 0.300 0.300 0.300 -3.866 21 0.300 0.300 0.300 -2.933 22 0.300 0.300 0.300 -2.215 23 0.300 0.300 0.300 -1.671 24 0.300 0.300 0.300 -1.262 25 0.300 0.300 0.300 -0.955 26 0.300 0.300 0.300 -0.723 27 0.300 0.300 0.300 -0.550 28 0.300 0.300 0.300 -0.418 29 0.300 0.300 0.300 -0.319 30 0.300 0.300 0.300 -0.244 31 0.300 0.300 0.300 -0.186 32 0.300 0.300 0.300 -0.143 33 0.300 0.300 0.300 -0.109 34 0.300 0.300 0.300 -0.084 35 0.300 0.300 0.300 -0.064 36 0.300 0.300 0.300 -0.049 37 0.300 0.300 0.300 -0.038 38 0.300 0.300 0.300 -0.029 39 0.300 0.300 0.300 -0.022 40 0.300 0.300 0.300 -0.016 41 0.300 0.300 0.300 -0.013 42 0.300 0.300 0.300 -0.011 43 0.300 0.300 0.300 -0.009 44 0.300 0.300 0.300 -0.007 45 0.300 0.300 0.300 -0.005 46 0.300 0.300 0.300 -0.004 47 0.300 0.300 0.300 -0.003 48 0.300 0.300 0.300 -0.003 49 0.300 0.300 0.300 -0.003 50 0.300 0.300 0.300 -0.002 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 -0.003 56 0.300 0.300 0.300 -0.001 57 0.300 0.300 0.300 -0.002 58 0.300 0.300 0.300 EPS 59 0.300 0.300 0.300 EPS 60 0.300 0.300 0.300 EPS ---- EQU MMAT0 Starting atmospheric concentration LOWER LEVEL UPPER MARGINAL 1 808.900 808.900 808.900 -2.791 ---- EQU MMAT Atmospheric concentration equation LOWER LEVEL UPPER MARGINAL 2 . . . -3.214 3 . . . -3.162 4 . . . -2.597 5 . . . -2.099 6 . . . -1.678 7 . . . -1.330 8 . . . -1.047 9 . . . -0.821 10 . . . -0.642 11 . . . -0.499 12 . . . -0.388 13 . . . -0.301 14 . . . -0.233 15 . . . -0.181 16 . . . -0.140 17 . . . -0.109 18 . . . -0.085 19 . . . -0.066 20 . . . -0.052 21 . . . -0.040 22 . . . -0.031 23 . . . -0.024 24 . . . -0.019 25 . . . -0.015 26 . . . -0.011 27 . . . -0.009 28 . . . -0.007 29 . . . -0.005 30 . . . -0.004 31 . . . -0.003 32 . . . -0.002 33 . . . -0.002 34 . . . -0.001 35 . . . -0.001 36 . . . -8.927E-4 37 . . . -6.903E-4 38 . . . -5.335E-4 39 . . . -4.129E-4 40 . . . -3.214E-4 41 . . . -2.532E-4 42 . . . -2.023E-4 43 . . . -1.595E-4 44 . . . -1.195E-4 45 . . . -8.640E-5 46 . . . -6.161E-5 47 . . . -4.169E-5 48 . . . -2.383E-5 49 . . . -4.453E-6 50 . . . -2.479E-6 51 . . . -7.715E-7 52 . . . -1.538E-6 53 . . . -7.449E-7 54 . . . -4.282E-7 55 . . . -1.338E-5 56 . . . -4.263E-6 57 . . . EPS 58 . . . -1.892E-6 59 . . . EPS 60 . . . EPS ---- EQU MMATAVEQ Average concentrations equation LOWER LEVEL UPPER MARGINAL 1 . . . EPS 2 . . . -1.003 3 . . . -0.872 4 . . . -0.732 5 . . . -0.600 6 . . . -0.485 7 . . . -0.387 8 . . . -0.307 9 . . . -0.241 10 . . . -0.189 11 . . . -0.148 12 . . . -0.115 13 . . . -0.089 14 . . . -0.069 15 . . . -0.053 16 . . . -0.041 17 . . . -0.032 18 . . . -0.025 19 . . . -0.019 20 . . . -0.015 21 . . . -0.012 22 . . . -0.009 23 . . . -0.007 24 . . . -0.006 25 . . . -0.004 26 . . . -0.003 27 . . . -0.003 28 . . . -0.002 29 . . . -0.002 30 . . . -0.001 31 . . . -9.415E-4 32 . . . -7.312E-4 33 . . . -5.681E-4 34 . . . -4.414E-4 35 . . . -3.428E-4 36 . . . -2.658E-4 37 . . . -2.054E-4 38 . . . -1.578E-4 39 . . . -1.204E-4 40 . . . -9.172E-5 41 . . . -7.183E-5 42 . . . -6.369E-5 43 . . . -5.450E-5 44 . . . -3.987E-5 45 . . . -3.034E-5 46 . . . -2.392E-5 47 . . . -2.024E-5 48 . . . -1.972E-5 49 . . . -1.320E-5 50 . . . -8.170E-6 51 . . . -1.057E-5 52 . . . -8.668E-6 53 . . . -8.054E-6 54 . . . -8.921E-6 55 . . . -1.088E-5 56 . . . -3.368E-6 57 . . . -3.784E-6 58 . . . EPS 59 . . . EPS 60 . . . EPS ---- EQU MMU0 Initial shallow ocean concentration LOWER LEVEL UPPER MARGINAL 1 1255.000 1255.000 1255.000 -1.148 ---- EQU MMU Shallow ocean concentration LOWER LEVEL UPPER MARGINAL 2 . . . -0.979 3 . . . -0.787 4 . . . -0.627 5 . . . -0.495 6 . . . -0.389 7 . . . -0.305 8 . . . -0.238 9 . . . -0.185 10 . . . -0.144 11 . . . -0.112 12 . . . -0.087 13 . . . -0.067 14 . . . -0.052 15 . . . -0.041 16 . . . -0.032 17 . . . -0.025 18 . . . -0.019 19 . . . -0.015 20 . . . -0.012 21 . . . -0.009 22 . . . -0.007 23 . . . -0.005 24 . . . -0.004 25 . . . -0.003 26 . . . -0.003 27 . . . -0.002 28 . . . -0.002 29 . . . -0.001 30 . . . -9.151E-4 31 . . . -7.095E-4 32 . . . -5.499E-4 33 . . . -4.258E-4 34 . . . -3.296E-4 35 . . . -2.549E-4 36 . . . -1.970E-4 37 . . . -1.522E-4 38 . . . -1.176E-4 39 . . . -9.079E-5 40 . . . -6.980E-5 41 . . . -5.297E-5 42 . . . -3.903E-5 43 . . . -2.758E-5 44 . . . -1.871E-5 45 . . . -1.208E-5 46 . . . -7.142E-6 47 . . . -3.620E-6 48 . . . -1.527E-6 49 . . . -1.281E-6 50 . . . -1.218E-6 51 . . . -1.340E-6 52 . . . -1.395E-6 53 . . . -1.550E-6 54 . . . -1.769E-6 55 . . . -5.482E-7 56 . . . -1.568E-7 57 . . . -1.839E-7 58 . . . EPS 59 . . . EPS 60 . . . EPS ---- EQU MML0 Initial lower ocean concentration LOWER LEVEL UPPER MARGINAL 1 18365.000 18365.000 18365.000 -0.014 ---- EQU MML Lower ocean concentration LOWER LEVEL UPPER MARGINAL 2 . . . -0.011 3 . . . -0.009 4 . . . -0.007 5 . . . -0.005 6 . . . -0.004 7 . . . -0.003 8 . . . -0.003 9 . . . -0.002 10 . . . -0.002 11 . . . -0.001 12 . . . -9.325E-4 13 . . . -7.251E-4 14 . . . -5.642E-4 15 . . . -4.390E-4 16 . . . -3.415E-4 17 . . . -2.655E-4 18 . . . -2.062E-4 19 . . . -1.599E-4 20 . . . -1.240E-4 21 . . . -9.604E-5 22 . . . -7.437E-5 23 . . . -5.758E-5 24 . . . -4.458E-5 25 . . . -3.450E-5 26 . . . -2.669E-5 27 . . . -2.064E-5 28 . . . -1.594E-5 29 . . . -1.230E-5 30 . . . -9.479E-6 31 . . . -7.289E-6 32 . . . -5.592E-6 33 . . . -4.277E-6 34 . . . -3.259E-6 35 . . . -2.472E-6 36 . . . -1.864E-6 37 . . . -1.393E-6 38 . . . -1.030E-6 39 . . . -7.491E-7 40 . . . -5.331E-7 41 . . . -3.691E-7 42 . . . -2.481E-7 43 . . . -1.626E-7 44 . . . -1.046E-7 45 . . . -6.715E-8 46 . . . -4.502E-8 47 . . . -3.383E-8 48 . . . -2.916E-8 49 . . . -2.525E-8 50 . . . -2.151E-8 51 . . . -1.739E-8 52 . . . -1.308E-8 53 . . . -8.274E-9 54 . . . -2.767E-9 55 . . . -1.061E-9 56 . . . -5.74E-10 57 . . . EPS 58 . . . EPS 59 . . . EPS 60 . . . EPS ---- EQU TATMEQ Temperature-climate equation for atmosphere LOWER LEVEL UPPER MARGINAL 2 . . . -736.544 3 . . . -672.701 4 . . . -593.080 5 . . . -510.330 6 . . . -431.402 7 . . . -359.768 8 . . . -296.818 9 . . . -242.723 10 . . . -196.983 11 . . . -158.749 12 . . . -127.035 13 . . . -101.070 14 . . . -80.006 15 . . . -63.030 16 . . . -49.414 17 . . . -38.534 18 . . . -29.871 19 . . . -22.997 20 . . . -17.572 21 . . . -13.332 22 . . . -10.069 23 . . . -7.597 24 . . . -5.737 25 . . . -4.339 26 . . . -3.289 27 . . . -2.498 28 . . . -1.901 29 . . . -1.449 30 . . . -1.107 31 . . . -0.847 32 . . . -0.648 33 . . . -0.497 34 . . . -0.381 35 . . . -0.292 36 . . . -0.224 37 . . . -0.171 38 . . . -0.130 39 . . . -0.098 40 . . . -0.074 41 . . . -0.057 42 . . . -0.050 43 . . . -0.042 44 . . . -0.031 45 . . . -0.023 46 . . . -0.018 47 . . . -0.015 48 . . . -0.015 49 . . . -0.012 50 . . . -0.008 51 . . . -0.011 52 . . . -0.009 53 . . . -0.009 54 . . . -0.009 55 . . . -0.012 56 . . . -0.005 57 . . . -0.008 58 . . . EPS 59 . . . EPS 60 . . . EPS ---- EQU TATM0EQ Initial condition for atmospheric temperature LOWER LEVEL UPPER MARGINAL 1 0.731 0.731 0.731 -763.345 ---- EQU TOCEANEQ Temperature-climate equation for lower oceans LOWER LEVEL UPPER MARGINAL 2 . . . -219.453 3 . . . -184.268 4 . . . -152.763 5 . . . -125.348 6 . . . -101.974 7 . . . -82.347 8 . . . -66.060 9 . . . -52.674 10 . . . -41.761 11 . . . -32.930 12 . . . -25.838 13 . . . -20.176 14 . . . -15.680 15 . . . -12.126 16 . . . -9.331 17 . . . -7.145 18 . . . -5.446 19 . . . -4.135 20 . . . -3.132 21 . . . -2.370 22 . . . -1.796 23 . . . -1.362 24 . . . -1.036 25 . . . -0.789 26 . . . -0.602 27 . . . -0.460 28 . . . -0.352 29 . . . -0.270 30 . . . -0.207 31 . . . -0.159 32 . . . -0.122 33 . . . -0.094 34 . . . -0.073 35 . . . -0.056 36 . . . -0.044 37 . . . -0.034 38 . . . -0.027 39 . . . -0.022 40 . . . -0.018 41 . . . -0.015 42 . . . -0.012 43 . . . -0.010 44 . . . -0.008 45 . . . -0.007 46 . . . -0.006 47 . . . -0.005 48 . . . -0.005 49 . . . -0.004 50 . . . -0.004 51 . . . -0.003 52 . . . -0.003 53 . . . -0.002 54 . . . -0.002 55 . . . -8.157E-4 56 . . . -5.081E-4 57 . . . EPS 58 . . . EPS 59 . . . EPS 60 . . . EPS ---- EQU TOCEAN0EQ Initial condition for lower ocean temperature LOWER LEVEL UPPER MARGINAL 1 0.007 0.007 0.007 -257.092 ---- 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 0.005 231.358 2 . 0.158 1.000 . 3 . 0.184 1.000 . 4 . 0.211 1.000 . 5 . 0.240 1.000 . 6 . 0.271 1.000 . 7 . 0.303 1.000 . 8 . 0.337 1.000 . 9 . 0.373 1.000 . 10 . 0.410 1.000 . 11 . 0.450 1.000 . 12 . 0.491 1.000 . 13 . 0.536 1.000 . 14 . 0.582 1.000 . 15 . 0.632 1.000 . 16 . 0.685 1.000 . 17 . 0.743 1.000 . 18 . 0.806 1.000 . 19 . 0.875 1.000 . 20 . 0.943 1.000 . 21 . 1.000 1.000 0.436 22 . 1.000 1.000 1.796 23 . 1.000 1.000 2.511 24 . 1.000 1.000 2.818 25 . 1.000 1.000 2.870 26 . 1.000 1.000 2.770 27 . 1.000 1.000 2.585 28 . 1.000 1.000 2.356 29 . 1.000 1.000 2.112 30 . 1.000 1.000 1.869 31 . 1.000 1.000 1.638 32 . 1.000 1.000 1.424 33 . 1.000 1.000 1.229 34 . 1.000 1.000 1.055 35 . 1.000 1.000 0.900 36 . 1.000 1.000 0.764 37 . 1.000 1.000 0.646 38 . 1.000 1.000 0.547 39 . 1.000 1.000 0.465 40 . 1.000 1.000 0.402 41 . 1.000 1.000 0.354 42 . 1.000 1.000 0.245 43 . 1.000 1.000 0.186 44 . 1.000 1.000 0.165 45 . 1.000 1.000 0.134 46 . 1.000 1.000 0.100 47 . 1.000 1.000 0.062 48 . 0.986 1.000 . 49 . 0.809 1.000 . 50 . 0.967 1.000 . 51 . 0.971 1.000 . 52 . 0.974 1.000 . 53 . 0.969 1.000 . 54 . 1.000 1.000 0.058 55 . 0.665 1.000 . 56 . 0.442 1.000 . 57 . . 1.000 0.001 58 . 0.495 1.000 . 59 . 0.612 1.000 . 60 . 0.395 1.000 . ---- VAR FORC Radiative forcing in watts per m2 LOWER LEVEL UPPER MARGINAL 1 -INF 1.791 +INF . 2 -INF 2.142 +INF . 3 -INF 2.453 +INF . 4 -INF 2.759 +INF . 5 -INF 3.056 +INF . 6 -INF 3.342 +INF . 7 -INF 3.615 +INF . 8 -INF 3.874 +INF . 9 -INF 4.118 +INF . 10 -INF 4.347 +INF . 11 -INF 4.560 +INF . 12 -INF 4.720 +INF . 13 -INF 4.861 +INF . 14 -INF 4.981 +INF . 15 -INF 5.077 +INF . 16 -INF 5.144 +INF . 17 -INF 5.177 +INF . 18 -INF 5.168 +INF . 19 -INF 5.104 +INF . 20 -INF 4.977 +INF . 21 -INF 4.785 +INF . 22 -INF 4.581 +INF . 23 -INF 4.411 +INF . 24 -INF 4.266 +INF . 25 -INF 4.140 +INF . 26 -INF 4.028 +INF . 27 -INF 3.926 +INF . 28 -INF 3.831 +INF . 29 -INF 3.743 +INF . 30 -INF 3.659 +INF . 31 -INF 3.579 +INF . 32 -INF 3.502 +INF . 33 -INF 3.427 +INF . 34 -INF 3.355 +INF . 35 -INF 3.285 +INF . 36 -INF 3.216 +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 2.618 +INF . 47 -INF 2.565 +INF . 48 -INF 2.591 +INF . 49 -INF 3.586 +INF . 50 -INF 4.320 +INF . 51 -INF 4.267 +INF . 52 -INF 4.342 +INF . 53 -INF 4.519 +INF . 54 -INF 4.487 +INF . 55 -INF 4.708 +INF . 56 -INF 6.377 +INF . 57 -INF 8.055 +INF . 58 -INF 9.212 +INF . 59 -INF 9.894 +INF . 60 -INF 6.230 +INF . ---- VAR TATM Temperature of atmosphere in degrees C LOWER LEVEL UPPER MARGINAL 1 . 0.731 20.000 . 2 . 0.951 20.000 . 3 . 1.165 20.000 . 4 . 1.376 20.000 . 5 . 1.584 20.000 . 6 . 1.786 20.000 . 7 . 1.984 20.000 . 8 . 2.175 20.000 . 9 . 2.360 20.000 . 10 . 2.537 20.000 . 11 . 2.706 20.000 . 12 . 2.858 20.000 . 13 . 2.996 20.000 . 14 . 3.119 20.000 . 15 . 3.228 20.000 . 16 . 3.321 20.000 . 17 . 3.396 20.000 . 18 . 3.450 20.000 . 19 . 3.478 20.000 . 20 . 3.476 20.000 . 21 . 3.438 20.000 . 22 . 3.374 20.000 . 23 . 3.301 20.000 . 24 . 3.226 20.000 . 25 . 3.154 20.000 . 26 . 3.087 20.000 . 27 . 3.023 20.000 . 28 . 2.965 20.000 . 29 . 2.910 20.000 . 30 . 2.858 20.000 . 31 . 2.808 20.000 . 32 . 2.761 20.000 . 33 . 2.716 20.000 . 34 . 2.671 20.000 . 35 . 2.628 20.000 . 36 . 2.586 20.000 . 37 . 2.544 20.000 . 38 . 2.504 20.000 . 39 . 2.463 20.000 . 40 . 2.424 20.000 . 41 . 2.385 20.000 . 42 . 2.346 20.000 . 43 . 2.308 20.000 . 44 . 2.271 20.000 . 45 . 2.234 20.000 . 46 . 2.198 20.000 . 47 . 2.162 20.000 . 48 . 2.143 20.000 . 49 . 2.349 20.000 . 50 . 2.645 20.000 . 51 . 2.827 20.000 . 52 . 2.964 20.000 . 53 . 3.094 20.000 . 54 . 3.175 20.000 . 55 . 3.278 20.000 . 56 . 3.715 20.000 . 57 . 4.374 20.000 . 58 . 5.063 20.000 . 59 . 5.672 20.000 . 60 . 5.272 20.000 . ---- VAR TOCEAN Temperatureof lower oceans degrees C LOWER LEVEL UPPER MARGINAL 1 -1.000 0.007 20.000 . 2 -1.000 0.043 20.000 . 3 -1.000 0.088 20.000 . 4 -1.000 0.142 20.000 . 5 -1.000 0.204 20.000 . 6 -1.000 0.273 20.000 . 7 -1.000 0.349 20.000 . 8 -1.000 0.430 20.000 . 9 -1.000 0.518 20.000 . 10 -1.000 0.610 20.000 . 11 -1.000 0.706 20.000 . 12 -1.000 0.806 20.000 . 13 -1.000 0.909 20.000 . 14 -1.000 1.013 20.000 . 15 -1.000 1.118 20.000 . 16 -1.000 1.224 20.000 . 17 -1.000 1.329 20.000 . 18 -1.000 1.432 20.000 . 19 -1.000 1.533 20.000 . 20 -1.000 1.630 20.000 . 21 -1.000 1.722 20.000 . 22 -1.000 1.808 20.000 . 23 -1.000 1.887 20.000 . 24 -1.000 1.957 20.000 . 25 -1.000 2.021 20.000 . 26 -1.000 2.077 20.000 . 27 -1.000 2.128 20.000 . 28 -1.000 2.173 20.000 . 29 -1.000 2.212 20.000 . 30 -1.000 2.247 20.000 . 31 -1.000 2.278 20.000 . 32 -1.000 2.304 20.000 . 33 -1.000 2.327 20.000 . 34 -1.000 2.346 20.000 . 35 -1.000 2.363 20.000 . 36 -1.000 2.376 20.000 . 37 -1.000 2.386 20.000 . 38 -1.000 2.394 20.000 . 39 -1.000 2.400 20.000 . 40 -1.000 2.403 20.000 . 41 -1.000 2.404 20.000 . 42 -1.000 2.403 20.000 . 43 -1.000 2.400 20.000 . 44 -1.000 2.396 20.000 . 45 -1.000 2.389 20.000 . 46 -1.000 2.382 20.000 . 47 -1.000 2.372 20.000 . 48 -1.000 2.362 20.000 . 49 -1.000 2.351 20.000 . 50 -1.000 2.351 20.000 . 51 -1.000 2.366 20.000 . 52 -1.000 2.389 20.000 . 53 -1.000 2.417 20.000 . 54 -1.000 2.451 20.000 . 55 -1.000 2.487 20.000 . 56 -1.000 2.527 20.000 . 57 -1.000 2.586 20.000 . 58 -1.000 2.676 20.000 . 59 -1.000 2.795 20.000 . 60 -1.000 2.939 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 10.000 907.616 +INF -4.118E-5 4 10.000 954.051 +INF -1.055E-4 5 10.000 1001.592 +INF -2.107E-4 6 10.000 1049.524 +INF -3.570E-4 7 10.000 1097.263 +INF -4.766E-4 8 10.000 1144.326 +INF -4.443E-4 9 10.000 1190.281 +INF -6.516E-5 10 10.000 1234.710 +INF 4.3672E-4 11 10.000 1277.194 +INF 2.0522E-4 12 10.000 1317.195 +INF -2.161E-4 13 10.000 1353.988 +INF . 14 10.000 1386.724 +INF 4.8087E-4 15 10.000 1414.634 +INF -1.325E-4 16 10.000 1436.195 +INF -3.725E-5 17 10.000 1449.948 +INF -2.708E-4 18 10.000 1453.638 +INF -1.612E-4 19 10.000 1444.957 +INF -2.758E-4 20 10.000 1420.352 +INF 2.7101E-4 21 10.000 1378.958 +INF . 22 10.000 1324.010 +INF -8.429E-6 23 10.000 1280.284 +INF . 24 10.000 1244.533 +INF . 25 10.000 1214.494 +INF . 26 10.000 1188.594 +INF . 27 10.000 1165.733 +INF . 28 10.000 1145.143 +INF . 29 10.000 1126.286 +INF . 30 10.000 1108.784 +INF . 31 10.000 1092.367 +INF . 32 10.000 1076.847 +INF . 33 10.000 1062.087 +INF . 34 10.000 1047.986 +INF . 35 10.000 1034.472 +INF . 36 10.000 1021.490 +INF . 37 10.000 1008.998 +INF . 38 10.000 996.962 +INF . 39 10.000 985.355 +INF . 40 10.000 974.155 +INF . 41 10.000 963.344 +INF . 42 10.000 952.903 +INF . 43 10.000 942.819 +INF . 44 10.000 933.078 +INF . 45 10.000 923.666 +INF . 46 10.000 914.573 +INF . 47 10.000 905.787 +INF . 48 10.000 897.298 +INF . 49 10.000 914.155 +INF -1.425E-5 50 10.000 1257.795 +INF -9.086E-6 51 10.000 1225.315 +INF -1.011E-5 52 10.000 1234.190 +INF -8.981E-6 53 10.000 1258.866 +INF -8.298E-6 54 10.000 1316.182 +INF -1.901E-5 55 10.000 1244.038 +INF . 56 10.000 1421.310 +INF -2.893E-6 57 10.000 2192.343 +INF -5.110E-6 58 10.000 2715.715 +INF . 59 10.000 3345.611 +INF . 60 10.000 3518.502 +INF . ---- VAR MATAV Average concentrations LOWER LEVEL UPPER MARGINAL 1 . 836.004 +INF . 2 . 885.362 +INF . 3 . 930.834 +INF . 4 . 977.822 +INF . 5 . 1025.558 +INF . 6 . 1073.393 +INF . 7 . 1120.795 +INF . 8 . 1167.303 +INF . 9 . 1212.495 +INF . 10 . 1255.952 +INF . 11 . 1297.194 +INF . 12 . 1335.592 +INF . 13 . 1370.356 +INF . 14 . 1400.679 +INF . 15 . 1425.415 +INF . 16 . 1443.072 +INF . 17 . 1451.793 +INF . 18 . 1449.298 +INF . 19 . 1432.655 +INF . 20 . 1399.655 +INF . 21 . 1351.484 +INF . 22 . 1302.147 +INF . 23 . 1262.408 +INF . 24 . 1229.514 +INF . 25 . 1201.544 +INF . 26 . 1177.164 +INF . 27 . 1155.438 +INF . 28 . 1135.715 +INF . 29 . 1117.535 +INF . 30 . 1100.575 +INF . 31 . 1084.607 +INF . 32 . 1069.467 +INF . 33 . 1055.037 +INF . 34 . 1041.229 +INF . 35 . 1027.981 +INF . 36 . 1015.244 +INF . 37 . 1002.980 +INF . 38 . 991.158 +INF . 39 . 979.755 +INF . 40 . 968.749 +INF . 41 . 958.123 +INF . 42 . 947.861 +INF . 43 . 937.948 +INF . 44 . 928.372 +INF . 45 . 919.120 +INF . 46 . 910.180 +INF . 47 . 901.542 +INF . 48 . 905.726 +INF . 49 . 1085.975 +INF . 50 . 1241.555 +INF . 51 . 1229.753 +INF . 52 . 1246.528 +INF . 53 . 1287.524 +INF . 54 . 1280.110 +INF . 55 . 1332.674 +INF . 56 . 1806.827 +INF . 57 . 2454.029 +INF . 58 . 3030.663 +INF . 59 . 3432.057 +INF . 60 . 1759.251 +INF . ---- VAR MU Carbon concentration in shallow oceans Gtc LOWER LEVEL UPPER MARGINAL 1 100.000 1255.000 +INF . 2 100.000 1280.635 +INF . 3 100.000 1312.775 +INF . 4 100.000 1348.628 +INF . 5 100.000 1388.020 +INF . 6 100.000 1430.643 +INF . 7 100.000 1476.101 +INF . 8 100.000 1523.948 +INF . 9 100.000 1573.711 +INF . 10 100.000 1624.905 +INF . 11 100.000 1677.038 +INF . 12 100.000 1729.612 +INF . 13 100.000 1782.100 +INF . 14 100.000 1833.915 +INF . 15 100.000 1884.396 +INF . 16 100.000 1932.833 +INF . 17 100.000 1978.334 +INF . 18 100.000 2019.860 +INF . 19 100.000 2056.098 +INF . 20 100.000 2085.491 +INF . 21 100.000 2106.037 +INF . 22 100.000 2115.865 +INF . 23 100.000 2113.990 +INF . 24 100.000 2104.261 +INF . 25 100.000 2089.341 +INF . 26 100.000 2071.076 +INF . 27 100.000 2050.737 +INF . 28 100.000 2029.202 +INF . 29 100.000 2007.074 +INF . 30 100.000 1984.763 +INF . 31 100.000 1962.550 +INF . 32 100.000 1940.622 +INF . 33 100.000 1919.102 +INF . 34 100.000 1898.071 +INF . 35 100.000 1877.577 +INF . 36 100.000 1857.650 +INF . 37 100.000 1838.302 +INF . 38 100.000 1819.538 +INF . 39 100.000 1801.355 +INF . 40 100.000 1783.745 +INF . 41 100.000 1766.698 +INF . 42 100.000 1750.202 +INF . 43 100.000 1734.242 +INF . 44 100.000 1718.805 +INF . 45 100.000 1703.875 +INF . 46 100.000 1689.438 +INF . 47 100.000 1675.479 +INF . 48 100.000 1661.983 +INF . 49 100.000 1648.935 +INF . 50 100.000 1641.066 +INF . 51 100.000 1699.466 +INF . 52 100.000 1743.184 +INF . 53 100.000 1782.218 +INF . 54 100.000 1820.254 +INF . 55 100.000 1863.625 +INF . 56 100.000 1887.045 +INF . 57 100.000 1940.669 +INF . 58 100.000 2132.445 +INF . 59 100.000 2395.166 +INF . 60 100.000 2738.579 +INF EPS ---- VAR ML Carbon concentration in lower oceans GtC LOWER LEVEL UPPER MARGINAL 1 1000.000 18365.000 +INF . 2 1000.000 18370.477 +INF . 3 1000.000 18377.219 +INF . 4 1000.000 18385.547 +INF . 5 1000.000 18395.642 +INF . 6 1000.000 18407.675 +INF . 7 1000.000 18421.801 +INF . 8 1000.000 18438.156 +INF . 9 1000.000 18456.853 +INF . 10 1000.000 18477.979 +INF . 11 1000.000 18501.600 +INF . 12 1000.000 18527.753 +INF . 13 1000.000 18556.453 +INF . 14 1000.000 18587.689 +INF . 15 1000.000 18621.417 +INF . 16 1000.000 18657.565 +INF . 17 1000.000 18696.021 +INF . 18 1000.000 18736.633 +INF . 19 1000.000 18779.194 +INF . 20 1000.000 18823.435 +INF . 21 1000.000 18869.007 +INF . 22 1000.000 18915.464 +INF . 23 1000.000 18962.268 +INF . 24 1000.000 19008.833 +INF . 25 1000.000 19054.765 +INF . 26 1000.000 19099.808 +INF . 27 1000.000 19143.798 +INF . 28 1000.000 19186.633 +INF . 29 1000.000 19228.259 +INF . 30 1000.000 19268.647 +INF . 31 1000.000 19307.795 +INF . 32 1000.000 19345.710 +INF . 33 1000.000 19382.410 +INF . 34 1000.000 19417.919 +INF . 35 1000.000 19452.266 +INF . 36 1000.000 19485.482 +INF . 37 1000.000 19517.597 +INF . 38 1000.000 19548.645 +INF . 39 1000.000 19578.658 +INF . 40 1000.000 19607.668 +INF . 41 1000.000 19635.708 +INF . 42 1000.000 19662.807 +INF . 43 1000.000 19688.997 +INF . 44 1000.000 19714.308 +INF . 45 1000.000 19738.767 +INF . 46 1000.000 19762.404 +INF . 47 1000.000 19785.246 +INF . 48 1000.000 19807.318 +INF . 49 1000.000 19828.646 +INF . 50 1000.000 19849.256 +INF . 51 1000.000 19869.408 +INF . 52 1000.000 19892.417 +INF . 53 1000.000 19917.540 +INF . 54 1000.000 19944.536 +INF . 55 1000.000 19973.350 +INF . 56 1000.000 20004.243 +INF . 57 1000.000 20036.211 +INF . 58 1000.000 20070.760 +INF . 59 1000.000 20114.790 +INF . 60 1000.000 20171.819 +INF . ---- VAR E CO2-equivalent emissions GtC LOWER LEVEL UPPER MARGINAL 1 . 85.320 +INF . 2 . 83.390 +INF . 3 . 90.616 +INF . 4 . 97.027 +INF . 5 . 102.587 +INF . 6 . 107.324 +INF . 7 . 111.266 +INF . 8 . 114.414 +INF . 9 . 116.750 +INF . 10 . 118.238 +INF . 11 . 118.728 +INF . 12 . 117.981 +INF -7.602E-5 13 . 115.786 +INF . 14 . 112.120 +INF . 15 . 106.146 +INF . 16 . 97.711 +INF . 17 . 85.827 +INF . 18 . 70.119 +INF . 19 . 49.028 +INF . 20 . 24.724 +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 . 0.096 +INF . 47 . 0.086 +INF . 48 . 25.138 +INF . 49 . 356.381 +INF . 50 . 46.072 +INF . 51 . 75.602 +INF . 52 . 88.832 +INF . 53 . 122.349 +INF . 54 . 0.041 +INF . 55 . 231.585 +INF . 56 . 856.624 +INF . 57 . 749.698 +INF . 58 . 936.647 +INF . 59 . 573.333 +INF . 60 . 512.797 +INF . ---- VAR C Consumption trillions US dollars LOWER LEVEL UPPER MARGINAL 1 20.000 43.354 +INF . 2 20.000 54.199 +INF . 3 20.000 66.322 +INF . 4 20.000 79.624 +INF . 5 20.000 94.141 +INF . 6 20.000 109.993 +INF . 7 20.000 127.359 +INF . 8 20.000 146.451 +INF . 9 20.000 167.506 +INF . 10 20.000 190.785 +INF . 11 20.000 216.566 +INF . 12 20.000 245.179 +INF . 13 20.000 276.958 +INF . 14 20.000 312.270 +INF . 15 20.000 351.495 +INF . 16 20.000 395.065 +INF . 17 20.000 443.436 +INF . 18 20.000 497.137 +INF . 19 20.000 556.721 +INF . 20 20.000 622.998 +INF . 21 20.000 697.067 +INF . 22 20.000 781.220 +INF . 23 20.000 875.168 +INF . 24 20.000 979.578 +INF . 25 20.000 1095.248 +INF . 26 20.000 1223.095 +INF . 27 20.000 1364.155 +INF . 28 20.000 1519.569 +INF . 29 20.000 1690.586 +INF . 30 20.000 1878.558 +INF . 31 20.000 2084.947 +INF . 32 20.000 2311.318 +INF . 33 20.000 2559.351 +INF . 34 20.000 2830.842 +INF . 35 20.000 3127.708 +INF . 36 20.000 3451.991 +INF . 37 20.000 3805.867 +INF . 38 20.000 4191.650 +INF . 39 20.000 4611.796 +INF . 40 20.000 5068.915 +INF . 41 20.000 5565.770 +INF . 42 20.000 5123.787 +INF . 43 20.000 5450.850 +INF . 44 20.000 6626.999 +INF . 45 20.000 7616.219 +INF . 46 20.000 8529.736 +INF . 47 20.000 9429.483 +INF . 48 20.000 6136.765 +INF . 49 20.000 6362.904 +INF . 50 20.000 4803.393 +INF . 51 20.000 9068.331 +INF . 52 20.000 12043.168 +INF . 53 20.000 14252.301 +INF . 54 20.000 16091.742 +INF . 55 20.000 2555.521 +INF . 56 20.000 5719.575 +INF . 57 20.000 2791.336 +INF . 58 20.000 6874.471 +INF . 59 20.000 5443.471 +INF . 60 20.000 3200.938 +INF . ---- VAR K Capital stock trillions US dollars LOWER LEVEL UPPER MARGINAL 1 100.000 137.000 +INF . 2 100.000 170.053 +INF . 3 100.000 212.167 +INF . 4 100.000 261.043 +INF . 5 100.000 315.604 +INF . 6 100.000 375.572 +INF . 7 100.000 441.194 +INF . 8 100.000 513.056 +INF . 9 100.000 591.960 +INF . 10 100.000 678.859 +INF . 11 100.000 774.817 +INF . 12 100.000 880.991 +INF . 13 100.000 998.715 +INF . 14 100.000 1129.398 +INF . 15 100.000 1274.562 +INF . 16 100.000 1435.812 +INF . 17 100.000 1614.926 +INF . 18 100.000 1813.811 +INF . 19 100.000 2034.622 +INF . 20 100.000 2279.671 +INF . 21 100.000 2552.047 +INF . 22 100.000 2855.934 +INF . 23 100.000 3199.246 +INF . 24 100.000 3583.934 +INF . 25 100.000 4012.557 +INF . 26 100.000 4488.255 +INF . 27 100.000 5014.716 +INF . 28 100.000 5596.142 +INF . 29 100.000 6237.220 +INF . 30 100.000 6943.105 +INF . 31 100.000 7719.412 +INF . 32 100.000 8572.214 +INF . 33 100.000 9508.050 +INF . 34 100.000 10533.936 +INF . 35 100.000 11657.385 +INF . 36 100.000 12886.421 +INF . 37 100.000 14229.605 +INF . 38 100.000 15696.056 +INF . 39 100.000 17295.481 +INF . 40 100.000 19038.195 +INF . 41 100.000 20935.150 +INF . 42 100.000 12822.464 +INF 3.8876E-5 43 100.000 12746.962 +INF 4.7743E-5 44 100.000 19818.785 +INF . 45 100.000 25601.920 +INF . 46 100.000 30408.483 +INF . 47 100.000 34661.014 +INF . 48 100.000 6770.409 +INF 2.5156E-5 49 100.000 6278.015 +INF 2.2507E-5 50 100.000 2062.687 +INF . 51 100.000 14267.249 +INF 7.2052E-6 52 100.000 30552.030 +INF . 53 100.000 44620.748 +INF . 54 100.000 55757.094 +INF . 55 100.000 100.000 +INF 0.001 56 100.000 1250.864 +INF . 57 100.000 100.000 +INF 9.7641E-4 58 100.000 1789.146 +INF . 59 100.000 729.280 +INF . 60 100.000 100.000 +INF EPS ---- VAR CPC Per capita consumption thousands US dollars LOWER LEVEL UPPER MARGINAL 1 -INF 6.656 +INF . 2 -INF 7.602 +INF . 3 -INF 8.768 +INF . 4 -INF 10.117 +INF . 5 -INF 11.643 +INF . 6 -INF 13.353 +INF . 7 -INF 15.263 +INF . 8 -INF 17.393 +INF . 9 -INF 19.769 +INF . 10 -INF 22.417 +INF . 11 -INF 25.368 +INF . 12 -INF 28.657 +INF . 13 -INF 32.322 +INF . 14 -INF 36.404 +INF . 15 -INF 40.946 +INF . 16 -INF 45.996 +INF . 17 -INF 51.609 +INF . 18 -INF 57.843 +INF . 19 -INF 64.764 +INF . 20 -INF 72.464 +INF . 21 -INF 81.072 +INF . 22 -INF 90.854 +INF . 23 -INF 101.775 +INF . 24 -INF 113.913 +INF . 25 -INF 127.361 +INF . 26 -INF 142.226 +INF . 27 -INF 158.627 +INF . 28 -INF 176.697 +INF . 29 -INF 196.582 +INF . 30 -INF 218.439 +INF . 31 -INF 242.437 +INF . 32 -INF 268.759 +INF . 33 -INF 297.600 +INF . 34 -INF 329.168 +INF . 35 -INF 363.688 +INF . 36 -INF 401.395 +INF . 37 -INF 442.543 +INF . 38 -INF 487.401 +INF . 39 -INF 536.256 +INF . 40 -INF 589.409 +INF . 41 -INF 647.183 +INF . 42 -INF 595.789 +INF . 43 -INF 633.820 +INF . 44 -INF 770.581 +INF . 45 -INF 885.607 +INF . 46 -INF 991.830 +INF . 47 -INF 1096.452 +INF . 48 -INF 713.577 +INF . 49 -INF 739.873 +INF . 50 -INF 558.534 +INF . 51 -INF 1054.457 +INF . 52 -INF 1400.368 +INF . 53 -INF 1657.244 +INF . 54 -INF 1871.133 +INF . 55 -INF 297.154 +INF . 56 -INF 665.067 +INF . 57 -INF 324.574 +INF . 58 -INF 799.357 +INF . 59 -INF 632.962 +INF . 60 -INF 372.202 +INF . ---- VAR PCY Per capita income thousands US dollars LOWER LEVEL UPPER MARGINAL 1 -INF 8.533 +INF . 2 -INF 9.746 +INF . 3 -INF 11.241 +INF . 4 -INF 12.971 +INF . 5 -INF 14.927 +INF . 6 -INF 17.119 +INF . 7 -INF 19.567 +INF . 8 -INF 22.299 +INF . 9 -INF 25.345 +INF . 10 -INF 28.740 +INF . 11 -INF 32.523 +INF . 12 -INF 36.740 +INF . 13 -INF 41.439 +INF . 14 -INF 46.672 +INF . 15 -INF 52.494 +INF . 16 -INF 58.970 +INF . 17 -INF 66.165 +INF . 18 -INF 74.158 +INF . 19 -INF 83.031 +INF . 20 -INF 92.903 +INF . 21 -INF 103.939 +INF . 22 -INF 116.479 +INF . 23 -INF 130.481 +INF . 24 -INF 146.043 +INF . 25 -INF 163.284 +INF . 26 -INF 182.341 +INF . 27 -INF 203.368 +INF . 28 -INF 226.535 +INF . 29 -INF 252.029 +INF . 30 -INF 280.050 +INF . 31 -INF 310.817 +INF . 32 -INF 344.563 +INF . 33 -INF 381.538 +INF . 34 -INF 422.011 +INF . 35 -INF 466.266 +INF . 36 -INF 514.609 +INF . 37 -INF 567.363 +INF . 38 -INF 624.874 +INF . 39 -INF 687.507 +INF . 40 -INF 755.652 +INF . 41 -INF 829.721 +INF . 42 -INF 763.832 +INF . 43 -INF 812.590 +INF . 44 -INF 987.925 +INF . 45 -INF 1135.393 +INF . 46 -INF 1271.577 +INF . 47 -INF 1405.707 +INF . 48 -INF 914.843 +INF . 49 -INF 948.555 +INF . 50 -INF 716.069 +INF . 51 -INF 1351.868 +INF . 52 -INF 1795.344 +INF . 53 -INF 2124.672 +INF . 54 -INF 2398.888 +INF . 55 -INF 380.966 +INF . 56 -INF 852.650 +INF . 57 -INF 416.121 +INF . 58 -INF 1024.817 +INF . 59 -INF 811.489 +INF . 60 -INF 477.182 +INF . ---- VAR I Investment trillions US dollars LOWER LEVEL UPPER MARGINAL 1 . 12.228 +INF . 2 . 15.287 +INF . 3 . 18.707 +INF . 4 . 22.458 +INF . 5 . 26.553 +INF . 6 . 31.024 +INF . 7 . 35.922 +INF . 8 . 41.307 +INF . 9 . 47.246 +INF . 10 . 53.811 +INF . 11 . 61.083 +INF . 12 . 69.153 +INF . 13 . 78.117 +INF . 14 . 88.077 +INF . 15 . 99.140 +INF . 16 . 111.429 +INF . 17 . 125.072 +INF . 18 . 140.218 +INF . 19 . 157.024 +INF . 20 . 175.718 +INF . 21 . 196.609 +INF . 22 . 220.344 +INF . 23 . 246.843 +INF . 24 . 276.292 +INF . 25 . 308.916 +INF . 26 . 344.976 +INF . 27 . 384.762 +INF . 28 . 428.597 +INF . 29 . 476.832 +INF . 30 . 529.850 +INF . 31 . 588.062 +INF . 32 . 651.910 +INF . 33 . 721.868 +INF . 34 . 798.443 +INF . 35 . 882.174 +INF . 36 . 973.639 +INF . 37 . 1073.450 +INF . 38 . 1182.260 +INF . 39 . 1300.763 +INF . 40 . 1429.694 +INF . 41 . 1569.833 +INF . 42 . 1445.171 +INF . 43 . 1537.419 +INF . 44 . 1869.154 +INF . 45 . 2148.165 +INF . 46 . 2405.823 +INF . 47 . 2659.598 +INF . 48 . 1730.883 +INF . 49 . 1794.665 +INF . 50 . 1354.803 +INF . 51 . 2557.735 +INF . 52 . 3396.791 +INF . 53 . 4019.880 +INF . 54 . 4538.697 +INF . 55 . 720.788 +INF . 56 . 1613.214 +INF . 57 . 787.300 +INF . 58 . 1938.954 +INF . 59 . 1535.338 +INF . 60 . 902.829 +INF . ---- VAR S Gross savings rate as fraction of gross world product LOWER LEVEL UPPER MARGINAL 1 0.220 0.220 0.220 1936.125 2 0.220 0.220 0.220 -861.807 3 0.220 0.220 0.220 -1783.328 4 0.220 0.220 0.220 -1898.961 5 0.220 0.220 0.220 -1704.672 6 0.220 0.220 0.220 -1419.963 7 0.220 0.220 0.220 -1136.693 8 0.220 0.220 0.220 -888.882 9 0.220 0.220 0.220 -685.021 10 0.220 0.220 0.220 -523.051 11 0.220 0.220 0.220 -397.277 12 0.220 0.220 0.220 -300.035 13 0.220 0.220 0.220 -225.548 14 0.220 0.220 0.220 -168.760 15 0.220 0.220 0.220 -125.763 16 0.220 0.220 0.220 -93.266 17 0.220 0.220 0.220 -68.901 18 0.220 0.220 0.220 -50.788 19 0.220 0.220 0.220 -37.813 20 0.220 0.220 0.220 -28.808 21 0.220 0.220 0.220 -22.721 22 0.220 0.220 0.220 -17.074 23 0.220 0.220 0.220 -12.777 24 0.220 0.220 0.220 -9.544 25 0.220 0.220 0.220 -7.128 26 0.220 0.220 0.220 -5.325 27 0.220 0.220 0.220 -3.982 28 0.220 0.220 0.220 -2.980 29 0.220 0.220 0.220 -2.233 30 0.220 0.220 0.220 -1.675 31 0.220 0.220 0.220 -1.258 32 0.220 0.220 0.220 -0.948 33 0.220 0.220 0.220 -0.719 34 0.220 0.220 0.220 -0.554 35 0.220 0.220 0.220 -0.444 36 0.220 0.220 0.220 -0.385 37 0.220 0.220 0.220 -0.389 38 0.220 0.220 0.220 -0.483 39 0.220 0.220 0.220 -0.728 40 0.220 0.220 0.220 -1.247 41 0.220 0.220 0.220 -2.276 42 0.220 0.220 0.220 -2.130 43 0.220 0.220 0.220 -0.145 44 0.220 0.220 0.220 -0.123 45 0.220 0.220 0.220 -0.174 46 0.220 0.220 0.220 -0.299 47 0.220 0.220 0.220 -0.550 48 0.220 0.220 0.220 -0.728 49 0.220 0.220 0.220 -0.605 50 0.220 0.220 0.220 -2.771 51 0.220 0.220 0.220 -0.048 52 0.220 0.220 0.220 -0.038 53 0.220 0.220 0.220 -0.062 54 0.220 0.220 0.220 -0.114 55 0.220 0.220 0.220 -0.617 56 0.220 0.220 0.220 -0.237 57 0.220 0.220 0.220 -0.419 58 0.220 0.220 0.220 -0.147 59 0.220 0.220 0.220 -0.160 60 0.220 0.220 0.220 -0.234 ---- VAR RI Real interest rate per annum LOWER LEVEL UPPER MARGINAL 1 -INF 0.057 +INF . 2 -INF 0.057 +INF . 3 -INF 0.055 +INF . 4 -INF 0.052 +INF . 5 -INF 0.050 +INF . 6 -INF 0.048 +INF . 7 -INF 0.046 +INF . 8 -INF 0.045 +INF . 9 -INF 0.044 +INF . 10 -INF 0.043 +INF . 11 -INF 0.042 +INF . 12 -INF 0.042 +INF . 13 -INF 0.042 +INF . 14 -INF 0.041 +INF . 15 -INF 0.041 +INF . 16 -INF 0.041 +INF . 17 -INF 0.040 +INF . 18 -INF 0.040 +INF . 19 -INF 0.040 +INF . 20 -INF 0.040 +INF . 21 -INF 0.040 +INF . 22 -INF 0.040 +INF . 23 -INF 0.040 +INF . 24 -INF 0.040 +INF . 25 -INF 0.040 +INF . 26 -INF 0.040 +INF . 27 -INF 0.039 +INF . 28 -INF 0.039 +INF . 29 -INF 0.039 +INF . 30 -INF 0.039 +INF . 31 -INF 0.039 +INF . 32 -INF 0.039 +INF . 33 -INF 0.038 +INF . 34 -INF 0.038 +INF . 35 -INF 0.038 +INF . 36 -INF 0.038 +INF . 37 -INF 0.038 +INF . 38 -INF 0.038 +INF . 39 -INF 0.037 +INF . 40 -INF 0.037 +INF . 41 -INF 0.037 +INF . 42 -INF 0.089 +INF . 43 -INF 0.099 +INF . 44 -INF 0.063 +INF . 45 -INF 0.049 +INF . 46 -INF 0.043 +INF . 47 -INF 0.040 +INF . 48 -INF 0.283 +INF . 49 -INF 0.325 +INF . 50 -INF 0.831 +INF . 51 -INF 0.179 +INF . 52 -INF 0.086 +INF . 53 -INF 0.058 +INF . 54 -INF 0.046 +INF . 55 -INF 9.764 +INF . 56 -INF 1.694 +INF . 57 -INF 10.671 +INF . 58 -INF 1.413 +INF . 59 -INF 2.806 +INF . 60 -INF 12.246 +INF . ---- VAR Y Gross world product net of abatement and damages LOWER LEVEL UPPER MARGINAL 1 . 55.583 +INF . 2 . 69.487 +INF . 3 . 85.029 +INF . 4 . 102.082 +INF . 5 . 120.693 +INF . 6 . 141.017 +INF . 7 . 163.281 +INF . 8 . 187.757 +INF . 9 . 214.751 +INF . 10 . 244.596 +INF . 11 . 277.649 +INF . 12 . 314.332 +INF . 13 . 355.075 +INF . 14 . 400.347 +INF . 15 . 450.635 +INF . 16 . 506.494 +INF . 17 . 568.508 +INF . 18 . 637.356 +INF . 19 . 713.745 +INF . 20 . 798.715 +INF . 21 . 893.676 +INF . 22 . 1001.564 +INF . 23 . 1122.011 +INF . 24 . 1255.870 +INF . 25 . 1404.164 +INF . 26 . 1568.071 +INF . 27 . 1748.916 +INF . 28 . 1948.165 +INF . 29 . 2167.418 +INF . 30 . 2408.409 +INF . 31 . 2673.009 +INF . 32 . 2963.228 +INF . 33 . 3281.219 +INF . 34 . 3629.285 +INF . 35 . 4009.882 +INF . 36 . 4425.630 +INF . 37 . 4879.317 +INF . 38 . 5373.910 +INF . 39 . 5912.560 +INF . 40 . 6498.609 +INF . 41 . 7135.603 +INF . 42 . 6568.957 +INF . 43 . 6988.269 +INF . 44 . 8496.152 +INF . 45 . 9764.383 +INF . 46 . 10935.559 +INF . 47 . 12089.081 +INF . 48 . 7867.648 +INF . 49 . 8157.569 +INF . 50 . 6158.197 +INF . 51 . 11626.066 +INF . 52 . 15439.960 +INF . 53 . 18272.181 +INF . 54 . 20630.438 +INF . 55 . 3276.310 +INF . 56 . 7332.789 +INF 2.5249E-5 57 . 3578.637 +INF . 58 . 8813.424 +INF 1.2977E-5 59 . 6978.809 +INF 1.7833E-5 60 . 4103.767 +INF 4.4440E-5 ---- VAR YGROSS Gross world product GROSS of abatement and damages LOWER LEVEL UPPER MARGINAL 1 . 55.667 +INF . 2 . 69.685 +INF . 3 . 85.391 +INF . 4 . 102.688 +INF . 5 . 121.641 +INF . 6 . 142.428 +INF . 7 . 165.301 +INF . 8 . 190.559 +INF . 9 . 218.540 +INF . 10 . 249.610 +INF . 11 . 284.167 +INF . 12 . 322.636 +INF . 13 . 365.489 +INF . 14 . 413.228 +INF . 15 . 466.399 +INF . 16 . 525.587 +INF . 17 . 591.429 +INF . 18 . 664.617 +INF . 19 . 745.907 +INF . 20 . 836.116 +INF . 21 . 936.193 +INF . 22 . 1047.257 +INF . 23 . 1170.887 +INF . 24 . 1308.063 +INF . 25 . 1459.889 +INF . 26 . 1627.596 +INF . 27 . 1812.546 +INF . 28 . 2016.224 +INF . 29 . 2240.248 +INF . 30 . 2486.364 +INF . 31 . 2756.453 +INF . 32 . 3052.532 +INF . 33 . 3376.764 +INF . 34 . 3731.459 +INF . 35 . 4119.084 +INF . 36 . 4542.270 +INF . 37 . 5003.815 +INF . 38 . 5506.697 +INF . 39 . 6054.080 +INF . 40 . 6649.320 +INF . 41 . 7295.977 +INF . 42 . 6712.066 +INF . 43 . 7135.872 +INF . 44 . 8670.167 +INF . 45 . 9958.353 +INF . 46 . 11146.296 +INF . 47 . 12315.126 +INF . 48 . 8010.434 +INF . 49 . 8308.776 +INF . 50 . 6309.218 +INF . 51 . 11943.785 +INF . 52 . 15896.017 +INF . 53 . 18850.307 +INF . 54 . 21319.443 +INF . 55 . 3381.149 +INF . 56 . 7623.573 +INF . 57 . 3772.957 +INF . 58 . 9460.626 +INF . 59 . 7624.285 +INF . 60 . 4428.925 +INF . ---- VAR YNET Output net of damages equation LOWER LEVEL UPPER MARGINAL 1 -INF 55.583 +INF . 2 -INF 69.507 +INF . 3 -INF 85.063 +INF . 4 -INF 102.139 +INF . 5 -INF 120.781 +INF . 6 -INF 141.149 +INF . 7 -INF 163.474 +INF . 8 -INF 188.033 +INF . 9 -INF 215.139 +INF . 10 -INF 245.132 +INF . 11 -INF 278.380 +INF . 12 -INF 315.323 +INF . 13 -INF 356.409 +INF . 14 -INF 402.124 +INF . 15 -INF 453.002 +INF . 16 -INF 509.633 +INF . 17 -INF 572.681 +INF . 18 -INF 642.893 +INF . 19 -INF 721.137 +INF . 20 -INF 808.394 +INF . 21 -INF 905.801 +INF . 22 -INF 1014.464 +INF . 23 -INF 1135.752 +INF . 24 -INF 1270.518 +INF . 25 -INF 1419.785 +INF . 26 -INF 1584.736 +INF . 27 -INF 1766.698 +INF . 28 -INF 1967.141 +INF . 29 -INF 2187.671 +INF . 30 -INF 2430.027 +INF . 31 -INF 2696.087 +INF . 32 -INF 2987.867 +INF . 33 -INF 3307.526 +INF . 34 -INF 3657.374 +INF . 35 -INF 4039.875 +INF . 36 -INF 4457.657 +INF . 37 -INF 4913.518 +INF . 38 -INF 5410.430 +INF . 39 -INF 5951.556 +INF . 40 -INF 6540.247 +INF . 41 -INF 7180.059 +INF . 42 -INF 6608.789 +INF . 43 -INF 7029.546 +INF . 44 -INF 8545.078 +INF . 45 -INF 9819.248 +INF . 46 -INF 10995.562 +INF . 47 -INF 12153.907 +INF . 48 -INF 7907.335 +INF . 49 -INF 8180.616 +INF . 50 -INF 6186.358 +INF . 51 -INF 11678.769 +INF . 52 -INF 15509.200 +INF . 53 -INF 18351.508 +INF . 54 -INF 20726.490 +INF . 55 -INF 3281.070 +INF . 56 -INF 7336.130 +INF . 57 -INF 3578.637 +INF . 58 -INF 8818.765 +INF . 59 -INF 6986.337 +INF . 60 -INF 4105.044 +INF . ---- VAR DAMAGES Damages LOWER LEVEL UPPER MARGINAL 1 -INF 0.084 +INF . 2 -INF 0.178 +INF . 3 -INF 0.328 +INF . 4 -INF 0.549 +INF . 5 -INF 0.860 +INF . 6 -INF 1.279 +INF . 7 -INF 1.827 +INF . 8 -INF 2.526 +INF . 9 -INF 3.401 +INF . 10 -INF 4.479 +INF . 11 -INF 5.787 +INF . 12 -INF 7.313 +INF . 13 -INF 9.080 +INF . 14 -INF 11.105 +INF . 15 -INF 13.397 +INF . 16 -INF 15.954 +INF . 17 -INF 18.749 +INF . 18 -INF 21.724 +INF . 19 -INF 24.770 +INF . 20 -INF 27.722 +INF . 21 -INF 30.392 +INF . 22 -INF 32.793 +INF . 23 -INF 35.135 +INF . 24 -INF 37.546 +INF . 25 -INF 40.104 +INF . 26 -INF 42.861 +INF . 27 -INF 45.847 +INF . 28 -INF 49.083 +INF . 29 -INF 52.577 +INF . 30 -INF 56.337 +INF . 31 -INF 60.365 +INF . 32 -INF 64.665 +INF . 33 -INF 69.238 +INF . 34 -INF 74.085 +INF . 35 -INF 79.209 +INF . 36 -INF 84.612 +INF . 37 -INF 90.297 +INF . 38 -INF 96.267 +INF . 39 -INF 102.524 +INF . 40 -INF 109.073 +INF . 41 -INF 115.918 +INF . 42 -INF 103.278 +INF . 43 -INF 106.326 +INF . 44 -INF 125.089 +INF . 45 -INF 139.105 +INF . 46 -INF 150.734 +INF . 47 -INF 161.219 +INF . 48 -INF 103.099 +INF . 49 -INF 128.159 +INF . 50 -INF 122.860 +INF . 51 -INF 265.016 +INF . 52 -INF 386.816 +INF . 53 -INF 498.799 +INF . 54 -INF 592.954 +INF . 55 -INF 100.079 +INF . 56 -INF 287.443 +INF . 57 -INF 194.321 +INF . 58 -INF 641.861 +INF . 59 -INF 637.948 +INF . 60 -INF 323.881 +INF . ---- VAR ABATECOST Cost of emissions reductions LOWER LEVEL UPPER MARGINAL 1 -INF 1.3292E-5 +INF . 2 -INF 0.020 +INF . 3 -INF 0.035 +INF . 4 -INF 0.057 +INF . 5 -INF 0.088 +INF . 6 -INF 0.133 +INF . 7 -INF 0.195 +INF . 8 -INF 0.280 +INF . 9 -INF 0.394 +INF . 10 -INF 0.545 +INF . 11 -INF 0.747 +INF . 12 -INF 1.014 +INF . 13 -INF 1.368 +INF . 14 -INF 1.826 +INF . 15 -INF 2.437 +INF . 16 -INF 3.237 +INF . 17 -INF 4.309 +INF . 18 -INF 5.725 +INF . 19 -INF 7.645 +INF . 20 -INF 10.011 +INF . 21 -INF 12.532 +INF . 22 -INF 13.317 +INF . 23 -INF 14.166 +INF . 24 -INF 15.081 +INF . 25 -INF 16.063 +INF . 26 -INF 17.116 +INF . 27 -INF 18.243 +INF . 28 -INF 19.450 +INF . 29 -INF 20.740 +INF . 30 -INF 22.120 +INF . 31 -INF 23.595 +INF . 32 -INF 25.172 +INF . 33 -INF 26.858 +INF . 34 -INF 28.658 +INF . 35 -INF 30.582 +INF . 36 -INF 32.636 +INF . 37 -INF 34.829 +INF . 38 -INF 37.170 +INF . 39 -INF 39.668 +INF . 40 -INF 42.332 +INF . 41 -INF 45.174 +INF . 42 -INF 40.454 +INF . 43 -INF 41.901 +INF . 44 -INF 49.642 +INF . 45 -INF 55.642 +INF . 46 -INF 60.826 +INF . 47 -INF 65.685 +INF . 48 -INF 40.205 +INF . 49 -INF 23.408 +INF . 50 -INF 28.720 +INF . 51 -INF 53.899 +INF . 52 -INF 70.968 +INF . 53 -INF 81.483 +INF . 54 -INF 98.799 +INF . 55 -INF 4.906 +INF . 56 -INF 3.472 +INF . 57 -INF . +INF . 58 -INF 5.730 +INF . 59 -INF 8.215 +INF . 60 -INF 1.378 +INF . ---- VAR CCA Cumulative industrial carbon emissions GTC LOWER LEVEL UPPER MARGINAL 1 . . 6000.000 . 2 . 85.320 6000.000 . 3 . 168.710 6000.000 . 4 . 259.327 6000.000 . 5 . 356.354 6000.000 . 6 . 458.941 6000.000 . 7 . 566.265 6000.000 . 8 . 677.531 6000.000 . 9 . 791.944 6000.000 . 10 . 908.694 6000.000 . 11 . 1026.932 6000.000 . 12 . 1145.660 6000.000 . 13 . 1263.641 6000.000 . 14 . 1379.428 6000.000 . 15 . 1491.547 6000.000 . 16 . 1597.693 6000.000 . 17 . 1695.404 6000.000 . 18 . 1781.231 6000.000 . 19 . 1851.350 6000.000 . 20 . 1900.378 6000.000 . 21 . 1925.102 6000.000 . 22 . 1926.439 6000.000 . 23 . 1927.643 6000.000 . 24 . 1928.726 6000.000 . 25 . 1929.701 6000.000 . 26 . 1930.579 6000.000 . 27 . 1931.368 6000.000 . 28 . 1932.079 6000.000 . 29 . 1932.719 6000.000 . 30 . 1933.294 6000.000 . 31 . 1933.812 6000.000 . 32 . 1934.279 6000.000 . 33 . 1934.698 6000.000 . 34 . 1935.076 6000.000 . 35 . 1935.416 6000.000 . 36 . 1935.722 6000.000 . 37 . 1935.997 6000.000 . 38 . 1936.245 6000.000 . 39 . 1936.468 6000.000 . 40 . 1936.669 6000.000 . 41 . 1936.849 6000.000 . 42 . 1937.012 6000.000 . 43 . 1937.158 6000.000 . 44 . 1937.290 6000.000 . 45 . 1937.409 6000.000 . 46 . 1937.515 6000.000 . 47 . 1937.611 6000.000 . 48 . 1937.698 6000.000 . 49 . 1962.836 6000.000 . 50 . 2319.217 6000.000 . 51 . 2365.289 6000.000 . 52 . 2440.891 6000.000 . 53 . 2529.723 6000.000 . 54 . 2652.072 6000.000 . 55 . 2652.114 6000.000 . 56 . 2883.698 6000.000 . 57 . 3740.322 6000.000 . 58 . 4490.020 6000.000 . 59 . 5426.667 6000.000 . 60 . 6000.000 6000.000 EPS ---- VAR PERIODU One period utility function LOWER LEVEL UPPER MARGINAL 1 -INF -149.250 +INF . 2 -INF -130.552 +INF . 3 -INF -113.051 +INF . 4 -INF -97.840 +INF . 5 -INF -84.889 +INF . 6 -INF -73.891 +INF . 7 -INF -64.520 +INF . 8 -INF -56.494 +INF . 9 -INF -49.584 +INF . 10 -INF -43.608 +INF . 11 -INF -38.420 +INF . 12 -INF -33.895 +INF . 13 -INF -29.939 +INF . 14 -INF -26.470 +INF . 15 -INF -23.423 +INF . 16 -INF -20.741 +INF . 17 -INF -18.377 +INF . 18 -INF -16.288 +INF . 19 -INF -14.441 +INF . 20 -INF -12.800 +INF . 21 -INF -11.335 +INF . 22 -INF -10.007 +INF . 23 -INF -8.826 +INF . 24 -INF -7.779 +INF . 25 -INF -6.852 +INF . 26 -INF -6.031 +INF . 27 -INF -5.304 +INF . 28 -INF -4.659 +INF . 29 -INF -4.087 +INF . 30 -INF -3.578 +INF . 31 -INF -3.125 +INF . 32 -INF -2.721 +INF . 33 -INF -2.360 +INF . 34 -INF -2.038 +INF . 35 -INF -1.750 +INF . 36 -INF -1.491 +INF . 37 -INF -1.260 +INF . 38 -INF -1.052 +INF . 39 -INF -0.865 +INF . 40 -INF -0.697 +INF . 41 -INF -0.545 +INF . 42 -INF -0.678 +INF . 43 -INF -0.578 +INF . 44 -INF -0.298 +INF . 45 -INF -0.129 +INF . 46 -INF -0.008 +INF . 47 -INF 0.088 +INF . 48 -INF -0.401 +INF . 49 -INF -0.352 +INF . 50 -INF -0.790 +INF . 51 -INF 0.052 +INF . 52 -INF 0.286 +INF . 53 -INF 0.397 +INF . 54 -INF 0.466 +INF . 55 -INF -2.365 +INF . 56 -INF -0.504 +INF . 57 -INF -2.081 +INF . 58 -INF -0.251 +INF . 59 -INF -0.580 +INF . 60 -INF -1.687 +INF . LOWER LEVEL UPPER MARGINAL ---- VAR UTILITY -INF 1.5016E+5 +INF . **** REPORT SUMMARY : 0 NONOPT 0 INFEASIBLE 0 UNBOUNDED 0 ERRORS GAMS Rev 237 LEX-LEG 23.7.1 x86_64/Linux 09/14/11 00:04:35 Page 12 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Model Statistics SOLVE CO2 Using NLP From line 311 MODEL STATISTICS BLOCKS OF EQUATIONS 30 SINGLE EQUATIONS 1,263 BLOCKS OF VARIABLES 24 SINGLE VARIABLES 1,381 NON ZERO ELEMENTS 3,767 NON LINEAR N-Z 1,080 DERIVATIVE POOL 6 CONSTANT POOL 327 CODE LENGTH 5,643 GENERATION TIME = 0.003 SECONDS 3 Mb LEX237-237 Jul 7, 2011 EXECUTION TIME = 0.008 SECONDS 3 Mb LEX237-237 Jul 7, 2011 GAMS Rev 237 LEX-LEG 23.7.1 x86_64/Linux 09/14/11 00:04:35 Page 13 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Solution Report SOLVE CO2 Using NLP From line 311 S O L V E S U M M A R Y MODEL CO2 OBJECTIVE UTILITY TYPE NLP DIRECTION MAXIMIZE SOLVER MINOS FROM LINE 311 **** SOLVER STATUS 1 Normal Completion **** MODEL STATUS 2 Locally Optimal **** OBJECTIVE VALUE 150161.8263 RESOURCE USAGE, LIMIT 0.016 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: 150161.8 ---- EQU CCTFIRST First period cumulative carbon LOWER LEVEL UPPER MARGINAL 1 . . . 2.5459E-6 ---- EQU CCACCA Cumulative carbon emissions LOWER LEVEL UPPER MARGINAL 2 . . . 2.5459E-6 3 . . . 2.5459E-6 4 . . . 2.5459E-6 5 . . . 2.5459E-6 6 . . . 2.5459E-6 7 . . . 2.5459E-6 8 . . . 2.5459E-6 9 . . . 2.5459E-6 10 . . . 2.5459E-6 11 . . . 2.5459E-6 12 . . . 2.5459E-6 13 . . . 2.5459E-6 14 . . . 2.5459E-6 15 . . . 2.5459E-6 16 . . . 2.5459E-6 17 . . . 2.5459E-6 18 . . . 2.5459E-6 19 . . . 2.5459E-6 20 . . . 2.5459E-6 21 . . . 2.5459E-6 22 . . . 2.5459E-6 23 . . . 2.5459E-6 24 . . . 2.5459E-6 25 . . . 2.5459E-6 26 . . . 2.5459E-6 27 . . . 2.5459E-6 28 . . . 2.5459E-6 29 . . . 2.5459E-6 30 . . . 2.5459E-6 31 . . . 2.5459E-6 32 . . . 2.5459E-6 33 . . . 2.5459E-6 34 . . . 2.5459E-6 35 . . . 2.5459E-6 36 . . . 2.5459E-6 37 . . . 2.5459E-6 38 . . . 2.5459E-6 39 . . . 2.5459E-6 40 . . . 2.5459E-6 41 . . . 2.5459E-6 42 . . . 2.5459E-6 43 . . . 2.5459E-6 44 . . . 2.5459E-6 45 . . . 2.5459E-6 46 . . . 2.5459E-6 47 . . . 2.5459E-6 48 . . . 2.5459E-6 49 . . . 2.5459E-6 50 . . . 2.5459E-6 51 . . . 2.5459E-6 52 . . . 2.5459E-6 53 . . . 2.5459E-6 54 . . . 2.5459E-6 55 . . . 2.5459E-6 56 . . . 2.5459E-6 57 . . . 2.5459E-6 58 . . . 2.5459E-6 59 . . . 2.5459E-6 60 . . . 2.5459E-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 . . . 1171.332 2 . . . 765.926 3 . . . 493.212 4 . . . 318.074 5 . . . 206.510 6 . . . 135.112 7 . . . 89.038 8 . . . 59.050 9 . . . 39.380 10 . . . 26.389 11 . . . 17.758 12 . . . 11.993 13 . . . 8.126 14 . . . 5.522 15 . . . 3.763 16 . . . 2.571 17 . . . 1.761 18 . . . 1.208 19 . . . 0.831 20 . . . 0.572 21 . . . 0.394 22 . . . 0.270 23 . . . 0.186 24 . . . 0.128 25 . . . 0.088 26 . . . 0.061 27 . . . 0.042 28 . . . 0.029 29 . . . 0.020 30 . . . 0.014 31 . . . 0.010 32 . . . 0.007 33 . . . 0.005 34 . . . 0.003 35 . . . 0.002 36 . . . 0.002 37 . . . 0.001 38 . . . 8.5922E-4 39 . . . 5.9858E-4 40 . . . 4.0406E-4 41 . . . 2.4878E-4 42 . . . 2.5295E-4 43 . . . 2.4234E-4 44 . . . 1.4075E-4 45 . . . 8.9969E-5 46 . . . 5.8482E-5 47 . . . 3.5476E-5 48 . . . 7.2172E-5 49 . . . 5.7847E-5 50 . . . 1.3155E-5 51 . . . -7.552E-5 52 . . . -1.364E-4 53 . . . 7.4051E-6 54 . . . 4.2962E-6 55 . . . 1.4678E-4 56 . . . 2.5249E-5 57 . . . 9.1344E-5 58 . . . 1.2977E-5 59 . . . 1.7833E-5 60 . . . 4.4440E-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 . . . 1169.559 2 . . . 763.742 3 . . . 491.118 4 . . . 316.199 5 . . . 204.902 6 . . . 133.773 7 . . . 87.950 8 . . . 58.182 9 . . . 38.697 10 . . . 25.858 11 . . . 17.351 12 . . . 11.684 13 . . . 7.894 14 . . . 5.350 15 . . . 3.636 16 . . . 2.477 17 . . . 1.692 18 . . . 1.159 19 . . . 0.795 20 . . . 0.546 21 . . . 0.376 22 . . . 0.258 23 . . . 0.178 24 . . . 0.123 25 . . . 0.085 26 . . . 0.059 27 . . . 0.041 28 . . . 0.028 29 . . . 0.020 30 . . . 0.014 31 . . . 0.010 32 . . . 0.007 33 . . . 0.005 34 . . . 0.003 35 . . . 0.002 36 . . . 0.002 37 . . . 0.001 38 . . . 8.3850E-4 39 . . . 5.8459E-4 40 . . . 3.9491E-4 41 . . . 2.4332E-4 42 . . . 2.4755E-4 43 . . . 2.3733E-4 44 . . . 1.3792E-4 45 . . . 8.8216E-5 46 . . . 5.7376E-5 47 . . . 3.4825E-5 48 . . . 7.0886E-5 49 . . . 5.6794E-5 50 . . . 1.2840E-5 51 . . . -7.352E-5 52 . . . -1.325E-4 53 . . . 7.1779E-6 54 . . . 4.1573E-6 55 . . . 1.4223E-4 56 . . . 3.9099E-8 57 . . . 8.6640E-5 58 . . . 2.0913E-8 59 . . . 3.1303E-8 60 . . . 4.1177E-5 ---- EQU DAMEQ Damage equation LOWER LEVEL UPPER MARGINAL 1 . . . EPS 2 . . . EPS 3 . . . EPS 4 . . . EPS 5 . . . EPS 6 . . . EPS 7 . . . EPS 8 . . . EPS 9 . . . EPS 10 . . . EPS 11 . . . EPS 12 . . . EPS 13 . . . EPS 14 . . . EPS 15 . . . EPS 16 . . . EPS 17 . . . EPS 18 . . . EPS 19 . . . EPS 20 . . . EPS 21 . . . EPS 22 . . . EPS 23 . . . EPS 24 . . . EPS 25 . . . EPS 26 . . . EPS 27 . . . EPS 28 . . . EPS 29 . . . EPS 30 . . . EPS 31 . . . EPS 32 . . . EPS 33 . . . EPS 34 . . . EPS 35 . . . EPS 36 . . . EPS 37 . . . EPS 38 . . . EPS 39 . . . EPS 40 . . . EPS 41 . . . EPS 42 . . . EPS 43 . . . EPS 44 . . . EPS 45 . . . EPS 46 . . . EPS 47 . . . EPS 48 . . . EPS 49 . . . EPS 50 . . . EPS 51 . . . EPS 52 . . . EPS 53 . . . EPS 54 . . . EPS 55 . . . EPS 56 . . . EPS 57 . . . EPS 58 . . . EPS 59 . . . EPS 60 . . . EPS ---- EQU ABATEEQ Cost of emissions reductions equation LOWER LEVEL UPPER MARGINAL 1 . . . EPS 2 . . . EPS 3 . . . EPS 4 . . . EPS 5 . . . EPS 6 . . . EPS 7 . . . EPS 8 . . . EPS 9 . . . EPS 10 . . . EPS 11 . . . EPS 12 . . . EPS 13 . . . EPS 14 . . . EPS 15 . . . EPS 16 . . . EPS 17 . . . EPS 18 . . . EPS 19 . . . EPS 20 . . . EPS 21 . . . EPS 22 . . . EPS 23 . . . EPS 24 . . . EPS 25 . . . EPS 26 . . . EPS 27 . . . EPS 28 . . . EPS 29 . . . EPS 30 . . . EPS 31 . . . EPS 32 . . . EPS 33 . . . EPS 34 . . . EPS 35 . . . EPS 36 . . . EPS 37 . . . EPS 38 . . . EPS 39 . . . EPS 40 . . . EPS 41 . . . EPS 42 . . . EPS 43 . . . EPS 44 . . . EPS 45 . . . EPS 46 . . . EPS 47 . . . EPS 48 . . . EPS 49 . . . EPS 50 . . . EPS 51 . . . EPS 52 . . . EPS 53 . . . EPS 54 . . . EPS 55 . . . EPS 56 . . . EPS 57 . . . EPS 58 . . . EPS 59 . . . EPS 60 . . . EPS ---- EQU CC Consumption equation LOWER LEVEL UPPER MARGINAL 1 . . . 1163.668 2 . . . 768.654 3 . . . 497.826 4 . . . 322.167 5 . . . 209.617 6 . . . 137.327 7 . . . 90.569 8 . . . 60.092 9 . . . 40.082 10 . . . 26.859 11 . . . 18.073 12 . . . 12.203 13 . . . 8.266 14 . . . 5.615 15 . . . 3.824 16 . . . 2.611 17 . . . 1.787 18 . . . 1.226 19 . . . 0.843 20 . . . 0.580 21 . . . 0.399 22 . . . 0.274 23 . . . 0.188 24 . . . 0.129 25 . . . 0.089 26 . . . 0.062 27 . . . 0.043 28 . . . 0.030 29 . . . 0.021 30 . . . 0.014 31 . . . 0.010 32 . . . 0.007 33 . . . 0.005 34 . . . 0.003 35 . . . 0.002 36 . . . 0.002 37 . . . 0.001 38 . . . 8.7900E-4 39 . . . 6.2569E-4 40 . . . 4.4628E-4 41 . . . 3.1895E-4 42 . . . 3.2429E-4 43 . . . 2.4690E-4 44 . . . 1.4393E-4 45 . . . 9.3898E-5 46 . . . 6.4507E-5 47 . . . 4.5482E-5 48 . . . 9.2529E-5 49 . . . 7.4162E-5 50 . . . 1.1213E-4 51 . . . 2.7109E-5 52 . . . 1.3244E-5 53 . . . 8.1486E-6 54 . . . 5.5079E-6 55 . . . 1.8818E-4 56 . . . 3.2370E-5 57 . . . 1.1711E-4 58 . . . 1.6637E-5 59 . . . 2.2863E-5 60 . . . 5.6974E-5 ---- EQU KK Capital balance equation LOWER LEVEL UPPER MARGINAL 1 -INF . . 119.850 2 -INF . . 75.625 3 -INF . . 47.685 4 -INF . . 30.356 5 -INF . . 19.549 6 -INF . . 12.726 7 -INF . . 8.361 8 -INF . . 5.536 9 -INF . . 3.689 10 -INF . . 2.472 11 -INF . . 1.664 12 -INF . . 1.125 13 -INF . . 0.763 14 -INF . . 0.519 15 -INF . . 0.355 16 -INF . . 0.243 17 -INF . . 0.167 18 -INF . . 0.115 19 -INF . . 0.079 20 -INF . . 0.054 21 -INF . . 0.037 22 -INF . . 0.026 23 -INF . . 0.018 24 -INF . . 0.012 25 -INF . . 0.008 26 -INF . . 0.006 27 -INF . . 0.004 28 -INF . . 0.003 29 -INF . . 0.002 30 -INF . . 0.001 31 -INF . . 9.6029E-4 32 -INF . . 6.7432E-4 33 -INF . . 4.7444E-4 34 -INF . . 3.3432E-4 35 -INF . . 2.3570E-4 36 -INF . . 1.6585E-4 37 -INF . . 1.1577E-4 38 -INF . . 7.8909E-5 39 -INF . . 5.0248E-5 40 -INF . . 2.5439E-5 41 -INF -1.018E+4 . . 42 -INF -6175.664 . . 43 -INF . . 2.2615E-5 44 -INF . . 1.2945E-5 45 -INF . . 7.6037E-6 46 -INF . . 3.7120E-6 47 -INF -3.191E+4 . . 48 -INF -1.339E+4 . . 49 -INF -1.807E+4 . . 50 -INF . . EPS 51 -INF . . EPS 52 -INF . . EPS 53 -INF . . 4.7688E-7 54 -INF -6.473E+4 . . 55 -INF -5991.887 . . 56 -INF -1.647E+4 . . 57 -INF -6118.725 . . 58 -INF -1.928E+4 . . 59 -INF -1.551E+4 . . 60 -INF -9063.157 . . ---- EQU KK0 Initial condition for capital LOWER LEVEL UPPER MARGINAL 1 137.000 137.000 137.000 183.834 ---- EQU KC Terminal condition for capital LOWER LEVEL UPPER MARGINAL 60 -INF -900.829 . . ---- 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 -3.214 2 9.900 9.900 9.900 -3.162 3 8.910 8.910 8.910 -2.597 4 8.019 8.019 8.019 -2.099 5 7.217 7.217 7.217 -1.678 6 6.495 6.495 6.495 -1.330 7 5.846 5.846 5.846 -1.047 8 5.261 5.261 5.261 -0.821 9 4.735 4.735 4.735 -0.642 10 4.262 4.262 4.262 -0.499 11 3.835 3.835 3.835 -0.388 12 3.452 3.452 3.452 -0.301 13 3.107 3.107 3.107 -0.233 14 2.796 2.796 2.796 -0.181 15 2.516 2.516 2.516 -0.140 16 2.265 2.265 2.265 -0.109 17 2.038 2.038 2.038 -0.085 18 1.834 1.834 1.834 -0.066 19 1.651 1.651 1.651 -0.052 20 1.486 1.486 1.486 -0.040 21 1.337 1.337 1.337 -0.031 22 1.204 1.204 1.204 -0.024 23 1.083 1.083 1.083 -0.019 24 0.975 0.975 0.975 -0.015 25 0.877 0.877 0.877 -0.011 26 0.790 0.790 0.790 -0.009 27 0.711 0.711 0.711 -0.007 28 0.640 0.640 0.640 -0.005 29 0.576 0.576 0.576 -0.004 30 0.518 0.518 0.518 -0.003 31 0.466 0.466 0.466 -0.002 32 0.420 0.420 0.420 -0.002 33 0.378 0.378 0.378 -0.001 34 0.340 0.340 0.340 -0.001 35 0.306 0.306 0.306 -8.600E-4 36 0.275 0.275 0.275 -6.569E-4 37 0.248 0.248 0.248 -4.994E-4 38 0.223 0.223 0.223 -3.781E-4 39 0.201 0.201 0.201 -2.858E-4 40 0.181 0.181 0.181 -2.169E-4 41 0.163 0.163 0.163 -1.653E-4 42 0.146 0.146 0.146 -1.220E-4 43 0.132 0.132 0.132 -8.191E-5 44 0.119 0.119 0.119 -4.954E-5 45 0.107 0.107 0.107 -2.708E-5 46 0.096 0.096 0.096 -1.239E-5 47 0.086 0.086 0.086 -4.855E-6 48 0.078 0.078 0.078 -4.453E-6 49 0.070 0.070 0.070 -2.479E-6 50 0.063 0.063 0.063 -7.715E-7 51 0.057 0.057 0.057 4.4322E-6 52 0.051 0.051 0.051 8.0044E-6 53 0.046 0.046 0.046 -4.282E-7 54 0.041 0.041 0.041 -2.323E-6 55 0.037 0.037 0.037 -4.263E-6 56 0.033 0.033 0.033 -3.480E-7 57 0.030 0.030 0.030 1.8282E-5 58 0.027 0.027 0.027 -2.112E-7 59 0.024 0.024 0.024 -4.163E-7 60 0.022 0.022 0.022 -4.756E-7 ---- EQU SEQ Savings rate equation LOWER LEVEL UPPER MARGINAL 1 . . . -1936.125 2 . . . 861.807 3 . . . 1783.328 4 . . . 1898.961 5 . . . 1704.672 6 . . . 1419.963 7 . . . 1136.693 8 . . . 888.882 9 . . . 685.021 10 . . . 523.051 11 . . . 397.277 12 . . . 300.035 13 . . . 225.548 14 . . . 168.760 15 . . . 125.763 16 . . . 93.266 17 . . . 68.901 18 . . . 50.788 19 . . . 37.813 20 . . . 28.808 21 . . . 22.721 22 . . . 17.074 23 . . . 12.777 24 . . . 9.544 25 . . . 7.128 26 . . . 5.325 27 . . . 3.982 28 . . . 2.980 29 . . . 2.233 30 . . . 1.675 31 . . . 1.258 32 . . . 0.948 33 . . . 0.719 34 . . . 0.554 35 . . . 0.444 36 . . . 0.385 37 . . . 0.389 38 . . . 0.483 39 . . . 0.728 40 . . . 1.247 41 . . . 2.276 42 . . . 2.130 43 . . . 0.145 44 . . . 0.123 45 . . . 0.174 46 . . . 0.299 47 . . . 0.550 48 . . . 0.728 49 . . . 0.605 50 . . . 2.771 51 . . . 5.424 52 . . . 10.505 53 . . . 0.062 54 . . . 0.114 55 . . . 0.617 56 . . . 0.237 57 . . . 0.419 58 . . . 0.147 59 . . . 0.160 60 . . . 0.234 ---- EQU RIEQ Interest rate equation LOWER LEVEL UPPER MARGINAL 1 -0.065 -0.065 -0.065 EPS 2 -0.065 -0.065 -0.065 EPS 3 -0.065 -0.065 -0.065 EPS 4 -0.065 -0.065 -0.065 EPS 5 -0.065 -0.065 -0.065 EPS 6 -0.065 -0.065 -0.065 EPS 7 -0.065 -0.065 -0.065 EPS 8 -0.065 -0.065 -0.065 EPS 9 -0.065 -0.065 -0.065 EPS 10 -0.065 -0.065 -0.065 EPS 11 -0.065 -0.065 -0.065 EPS 12 -0.065 -0.065 -0.065 EPS 13 -0.065 -0.065 -0.065 EPS 14 -0.065 -0.065 -0.065 EPS 15 -0.065 -0.065 -0.065 EPS 16 -0.065 -0.065 -0.065 EPS 17 -0.065 -0.065 -0.065 EPS 18 -0.065 -0.065 -0.065 EPS 19 -0.065 -0.065 -0.065 EPS 20 -0.065 -0.065 -0.065 EPS 21 -0.065 -0.065 -0.065 EPS 22 -0.065 -0.065 -0.065 EPS 23 -0.065 -0.065 -0.065 EPS 24 -0.065 -0.065 -0.065 EPS 25 -0.065 -0.065 -0.065 EPS 26 -0.065 -0.065 -0.065 EPS 27 -0.065 -0.065 -0.065 EPS 28 -0.065 -0.065 -0.065 EPS 29 -0.065 -0.065 -0.065 EPS 30 -0.065 -0.065 -0.065 EPS 31 -0.065 -0.065 -0.065 EPS 32 -0.065 -0.065 -0.065 EPS 33 -0.065 -0.065 -0.065 EPS 34 -0.065 -0.065 -0.065 EPS 35 -0.065 -0.065 -0.065 EPS 36 -0.065 -0.065 -0.065 EPS 37 -0.065 -0.065 -0.065 EPS 38 -0.065 -0.065 -0.065 EPS 39 -0.065 -0.065 -0.065 EPS 40 -0.065 -0.065 -0.065 EPS 41 -0.065 -0.065 -0.065 EPS 42 -0.065 -0.065 -0.065 EPS 43 -0.065 -0.065 -0.065 EPS 44 -0.065 -0.065 -0.065 EPS 45 -0.065 -0.065 -0.065 EPS 46 -0.065 -0.065 -0.065 EPS 47 -0.065 -0.065 -0.065 EPS 48 -0.065 -0.065 -0.065 EPS 49 -0.065 -0.065 -0.065 EPS 50 -0.065 -0.065 -0.065 EPS 51 -0.065 -0.065 -0.065 EPS 52 -0.065 -0.065 -0.065 EPS 53 -0.065 -0.065 -0.065 EPS 54 -0.065 -0.065 -0.065 EPS 55 -0.065 -0.065 -0.065 EPS 56 -0.065 -0.065 -0.065 EPS 57 -0.065 -0.065 -0.065 EPS 58 -0.065 -0.065 -0.065 EPS 59 -0.065 -0.065 -0.065 EPS 60 -0.065 -0.065 -0.065 EPS ---- EQU FORCE Radiative forcing equation LOWER LEVEL UPPER MARGINAL 1 -0.060 -0.060 -0.060 EPS 2 -0.024 -0.024 -0.024 -162.040 3 0.012 0.012 0.012 -147.994 4 0.048 0.048 0.048 -130.478 5 0.084 0.084 0.084 -112.272 6 0.120 0.120 0.120 -94.908 7 0.156 0.156 0.156 -79.149 8 0.192 0.192 0.192 -65.300 9 0.228 0.228 0.228 -53.399 10 0.264 0.264 0.264 -43.336 11 0.300 0.300 0.300 -34.925 12 0.300 0.300 0.300 -27.948 13 0.300 0.300 0.300 -22.235 14 0.300 0.300 0.300 -17.601 15 0.300 0.300 0.300 -13.866 16 0.300 0.300 0.300 -10.871 17 0.300 0.300 0.300 -8.477 18 0.300 0.300 0.300 -6.571 19 0.300 0.300 0.300 -5.059 20 0.300 0.300 0.300 -3.866 21 0.300 0.300 0.300 -2.933 22 0.300 0.300 0.300 -2.215 23 0.300 0.300 0.300 -1.671 24 0.300 0.300 0.300 -1.262 25 0.300 0.300 0.300 -0.954 26 0.300 0.300 0.300 -0.723 27 0.300 0.300 0.300 -0.549 28 0.300 0.300 0.300 -0.418 29 0.300 0.300 0.300 -0.319 30 0.300 0.300 0.300 -0.243 31 0.300 0.300 0.300 -0.186 32 0.300 0.300 0.300 -0.142 33 0.300 0.300 0.300 -0.109 34 0.300 0.300 0.300 -0.084 35 0.300 0.300 0.300 -0.064 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 -0.021 40 0.300 0.300 0.300 -0.016 41 0.300 0.300 0.300 -0.012 42 0.300 0.300 0.300 -0.011 43 0.300 0.300 0.300 -0.009 44 0.300 0.300 0.300 -0.006 45 0.300 0.300 0.300 -0.004 46 0.300 0.300 0.300 -0.003 47 0.300 0.300 0.300 -0.002 48 0.300 0.300 0.300 -5.706E-4 49 0.300 0.300 0.300 0.001 50 0.300 0.300 0.300 0.004 51 0.300 0.300 0.300 0.007 52 0.300 0.300 0.300 0.006 53 0.300 0.300 0.300 -0.002 54 0.300 0.300 0.300 -0.003 55 0.300 0.300 0.300 -0.004 56 0.300 0.300 0.300 -0.003 57 0.300 0.300 0.300 -0.003 58 0.300 0.300 0.300 -0.002 59 0.300 0.300 0.300 -0.002 60 0.300 0.300 0.300 -0.001 ---- EQU MMAT0 Starting atmospheric concentration LOWER LEVEL UPPER MARGINAL 1 808.900 808.900 808.900 -2.791 ---- EQU MMAT Atmospheric concentration equation LOWER LEVEL UPPER MARGINAL 2 . . . -3.214 3 . . . -3.162 4 . . . -2.597 5 . . . -2.099 6 . . . -1.678 7 . . . -1.330 8 . . . -1.047 9 . . . -0.821 10 . . . -0.642 11 . . . -0.499 12 . . . -0.388 13 . . . -0.301 14 . . . -0.233 15 . . . -0.181 16 . . . -0.140 17 . . . -0.109 18 . . . -0.085 19 . . . -0.066 20 . . . -0.052 21 . . . -0.040 22 . . . -0.031 23 . . . -0.024 24 . . . -0.019 25 . . . -0.015 26 . . . -0.011 27 . . . -0.009 28 . . . -0.007 29 . . . -0.005 30 . . . -0.004 31 . . . -0.003 32 . . . -0.002 33 . . . -0.002 34 . . . -0.001 35 . . . -0.001 36 . . . -8.625E-4 37 . . . -6.595E-4 38 . . . -5.019E-4 39 . . . -3.806E-4 40 . . . -2.883E-4 41 . . . -2.194E-4 42 . . . -1.679E-4 43 . . . -1.246E-4 44 . . . -8.445E-5 45 . . . -5.208E-5 46 . . . -2.963E-5 47 . . . -1.494E-5 48 . . . -7.401E-6 49 . . . -6.999E-6 50 . . . -5.025E-6 51 . . . -3.317E-6 52 . . . 1.8863E-6 53 . . . 5.4586E-6 54 . . . -2.974E-6 55 . . . -4.869E-6 56 . . . -6.809E-6 57 . . . -2.894E-6 58 . . . 1.5736E-5 59 . . . -2.757E-6 60 . . . -2.962E-6 ---- EQU MMATAVEQ Average concentrations equation LOWER LEVEL UPPER MARGINAL 1 . . . EPS 2 . . . -1.003 3 . . . -0.872 4 . . . -0.732 5 . . . -0.600 6 . . . -0.485 7 . . . -0.387 8 . . . -0.307 9 . . . -0.241 10 . . . -0.189 11 . . . -0.148 12 . . . -0.115 13 . . . -0.089 14 . . . -0.069 15 . . . -0.053 16 . . . -0.041 17 . . . -0.032 18 . . . -0.025 19 . . . -0.019 20 . . . -0.015 21 . . . -0.012 22 . . . -0.009 23 . . . -0.007 24 . . . -0.006 25 . . . -0.004 26 . . . -0.003 27 . . . -0.003 28 . . . -0.002 29 . . . -0.002 30 . . . -0.001 31 . . . -9.407E-4 32 . . . -7.304E-4 33 . . . -5.673E-4 34 . . . -4.405E-4 35 . . . -3.418E-4 36 . . . -2.647E-4 37 . . . -2.042E-4 38 . . . -1.566E-4 39 . . . -1.190E-4 40 . . . -9.013E-5 41 . . . -6.994E-5 42 . . . -6.138E-5 43 . . . -5.156E-5 44 . . . -3.598E-5 45 . . . -2.498E-5 46 . . . -1.631E-5 47 . . . -9.150E-6 48 . . . -3.454E-6 49 . . . 7.1028E-6 50 . . . 1.8710E-5 51 . . . 3.0819E-5 52 . . . 2.6404E-5 53 . . . -1.012E-5 54 . . . -1.195E-5 55 . . . -1.518E-5 56 . . . -8.131E-6 57 . . . -6.270E-6 58 . . . -3.049E-6 59 . . . -2.456E-6 60 . . . -3.469E-6 ---- EQU MMU0 Initial shallow ocean concentration LOWER LEVEL UPPER MARGINAL 1 1255.000 1255.000 1255.000 -1.148 ---- EQU MMU Shallow ocean concentration LOWER LEVEL UPPER MARGINAL 2 . . . -0.979 3 . . . -0.787 4 . . . -0.627 5 . . . -0.495 6 . . . -0.389 7 . . . -0.305 8 . . . -0.238 9 . . . -0.185 10 . . . -0.144 11 . . . -0.112 12 . . . -0.087 13 . . . -0.067 14 . . . -0.052 15 . . . -0.041 16 . . . -0.032 17 . . . -0.025 18 . . . -0.019 19 . . . -0.015 20 . . . -0.012 21 . . . -0.009 22 . . . -0.007 23 . . . -0.005 24 . . . -0.004 25 . . . -0.003 26 . . . -0.003 27 . . . -0.002 28 . . . -0.002 29 . . . -0.001 30 . . . -8.943E-4 31 . . . -6.885E-4 32 . . . -5.286E-4 33 . . . -4.043E-4 34 . . . -3.078E-4 35 . . . -2.329E-4 36 . . . -1.749E-4 37 . . . -1.300E-4 38 . . . -9.536E-5 39 . . . -6.857E-5 40 . . . -4.768E-5 41 . . . -3.104E-5 42 . . . -1.742E-5 43 . . . -6.380E-6 44 . . . 1.9924E-6 45 . . . 8.1205E-6 46 . . . 1.2749E-5 47 . . . 1.6503E-5 48 . . . 2.0050E-5 49 . . . 2.4167E-5 50 . . . 2.8775E-5 51 . . . 3.3990E-5 52 . . . 3.9518E-5 53 . . . 4.5602E-5 54 . . . 5.3707E-5 55 . . . 6.3437E-5 56 . . . 7.5083E-5 57 . . . 8.8308E-5 58 . . . 1.0171E-4 59 . . . 1.1956E-4 60 . . . 1.4053E-4 ---- 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 . . . -9.283E-4 13 . . . -7.210E-4 14 . . . -5.600E-4 15 . . . -4.348E-4 16 . . . -3.374E-4 17 . . . -2.614E-4 18 . . . -2.021E-4 19 . . . -1.558E-4 20 . . . -1.199E-4 21 . . . -9.205E-5 22 . . . -7.043E-5 23 . . . -5.368E-5 24 . . . -4.073E-5 25 . . . -3.070E-5 26 . . . -2.294E-5 27 . . . -1.694E-5 28 . . . -1.229E-5 29 . . . -8.703E-6 30 . . . -5.933E-6 31 . . . -3.798E-6 32 . . . -2.156E-6 33 . . . -8.979E-7 34 . . . 6.2313E-8 35 . . . 7.9119E-7 36 . . . 1.3408E-6 37 . . . 1.7517E-6 38 . . . 2.0555E-6 39 . . . 2.2764E-6 40 . . . 2.4327E-6 41 . . . 2.5374E-6 42 . . . 2.5998E-6 43 . . . 2.6279E-6 44 . . . 2.6299E-6 45 . . . 2.6127E-6 46 . . . 2.5810E-6 47 . . . 2.5375E-6 48 . . . 2.4827E-6 49 . . . 2.4149E-6 50 . . . 2.3324E-6 51 . . . 2.2334E-6 52 . . . 2.1167E-6 53 . . . 1.9807E-6 54 . . . 1.8189E-6 55 . . . 1.6261E-6 56 . . . 1.3963E-6 57 . . . 1.1244E-6 58 . . . 8.0975E-7 59 . . . 4.3826E-7 60 . . . EPS ---- EQU TATMEQ Temperature-climate equation for atmosphere LOWER LEVEL UPPER MARGINAL 2 . . . -736.544 3 . . . -672.700 4 . . . -593.080 5 . . . -510.329 6 . . . -431.402 7 . . . -359.768 8 . . . -296.817 9 . . . -242.723 10 . . . -196.982 11 . . . -158.749 12 . . . -127.034 13 . . . -101.070 14 . . . -80.006 15 . . . -63.030 16 . . . -49.413 17 . . . -38.534 18 . . . -29.870 19 . . . -22.997 20 . . . -17.572 21 . . . -13.332 22 . . . -10.068 23 . . . -7.596 24 . . . -5.736 25 . . . -4.338 26 . . . -3.288 27 . . . -2.497 28 . . . -1.900 29 . . . -1.449 30 . . . -1.106 31 . . . -0.846 32 . . . -0.648 33 . . . -0.496 34 . . . -0.380 35 . . . -0.291 36 . . . -0.223 37 . . . -0.170 38 . . . -0.129 39 . . . -0.097 40 . . . -0.072 41 . . . -0.056 42 . . . -0.048 43 . . . -0.040 44 . . . -0.028 45 . . . -0.019 46 . . . -0.012 47 . . . -0.007 48 . . . -0.003 49 . . . 0.006 50 . . . 0.019 51 . . . 0.031 52 . . . 0.027 53 . . . -0.011 54 . . . -0.013 55 . . . -0.017 56 . . . -0.012 57 . . . -0.013 58 . . . -0.008 59 . . . -0.007 60 . . . -0.005 ---- EQU TATM0EQ Initial condition for atmospheric temperature LOWER LEVEL UPPER MARGINAL 1 0.731 0.731 0.731 -763.345 ---- EQU TOCEANEQ Temperature-climate equation for lower oceans LOWER LEVEL UPPER MARGINAL 2 . . . -219.451 3 . . . -184.266 4 . . . -152.761 5 . . . -125.347 6 . . . -101.973 7 . . . -82.345 8 . . . -66.058 9 . . . -52.672 10 . . . -41.759 11 . . . -32.928 12 . . . -25.836 13 . . . -20.174 14 . . . -15.678 15 . . . -12.124 16 . . . -9.329 17 . . . -7.143 18 . . . -5.444 19 . . . -4.133 20 . . . -3.129 21 . . . -2.368 22 . . . -1.793 23 . . . -1.359 24 . . . -1.033 25 . . . -0.785 26 . . . -0.598 27 . . . -0.456 28 . . . -0.348 29 . . . -0.266 30 . . . -0.203 31 . . . -0.155 32 . . . -0.118 33 . . . -0.090 34 . . . -0.068 35 . . . -0.052 36 . . . -0.039 37 . . . -0.029 38 . . . -0.022 39 . . . -0.016 40 . . . -0.012 41 . . . -0.009 42 . . . -0.006 43 . . . -0.003 44 . . . -0.002 45 . . . -4.537E-4 46 . . . 3.7764E-4 47 . . . 8.7267E-4 48 . . . 0.001 49 . . . 7.1230E-4 50 . . . -5.883E-4 51 . . . -0.003 52 . . . -0.005 53 . . . -0.004 54 . . . -0.004 55 . . . -0.003 56 . . . -0.002 57 . . . -0.001 58 . . . -7.784E-4 59 . . . -3.339E-4 60 . . . EPS ---- EQU TOCEAN0EQ Initial condition for lower ocean temperature LOWER LEVEL UPPER MARGINAL 1 0.007 0.007 0.007 -257.091 ---- EQU PERIODUEQ Instantaneous utility function equation LOWER LEVEL UPPER MARGINAL 1 1.000 1.000 1.000 335.773 2 1.000 1.000 1.000 316.686 3 1.000 1.000 1.000 289.492 4 1.000 1.000 1.000 259.533 5 1.000 1.000 1.000 229.757 6 1.000 1.000 1.000 201.694 7 1.000 1.000 1.000 176.051 8 1.000 1.000 1.000 153.069 9 1.000 1.000 1.000 132.727 10 1.000 1.000 1.000 114.872 11 1.000 1.000 1.000 99.289 12 1.000 1.000 1.000 85.740 13 1.000 1.000 1.000 73.993 14 1.000 1.000 1.000 63.826 15 1.000 1.000 1.000 55.038 16 1.000 1.000 1.000 47.450 17 1.000 1.000 1.000 40.902 18 1.000 1.000 1.000 35.253 19 1.000 1.000 1.000 30.382 20 1.000 1.000 1.000 26.183 21 1.000 1.000 1.000 22.563 22 1.000 1.000 1.000 19.443 23 1.000 1.000 1.000 16.754 24 1.000 1.000 1.000 14.437 25 1.000 1.000 1.000 12.440 26 1.000 1.000 1.000 10.719 27 1.000 1.000 1.000 9.237 28 1.000 1.000 1.000 7.959 29 1.000 1.000 1.000 6.858 30 1.000 1.000 1.000 5.909 31 1.000 1.000 1.000 5.092 32 1.000 1.000 1.000 4.388 33 1.000 1.000 1.000 3.781 34 1.000 1.000 1.000 3.258 35 1.000 1.000 1.000 2.807 36 1.000 1.000 1.000 2.419 37 1.000 1.000 1.000 2.084 38 1.000 1.000 1.000 1.796 39 1.000 1.000 1.000 1.547 40 1.000 1.000 1.000 1.333 41 1.000 1.000 1.000 1.149 42 1.000 1.000 1.000 0.990 43 1.000 1.000 1.000 0.853 44 1.000 1.000 1.000 0.735 45 1.000 1.000 1.000 0.633 46 1.000 1.000 1.000 0.546 47 1.000 1.000 1.000 0.470 48 1.000 1.000 1.000 0.405 49 1.000 1.000 1.000 0.349 50 1.000 1.000 1.000 0.301 51 1.000 1.000 1.000 0.259 52 1.000 1.000 1.000 0.223 53 1.000 1.000 1.000 0.192 54 1.000 1.000 1.000 0.166 55 1.000 1.000 1.000 0.143 56 1.000 1.000 1.000 0.123 57 1.000 1.000 1.000 0.106 58 1.000 1.000 1.000 0.091 59 1.000 1.000 1.000 0.079 60 1.000 1.000 1.000 0.068 ---- VAR MIU Emission control rate GHGs LOWER LEVEL UPPER MARGINAL 1 0.005 0.005 0.005 231.358 2 . 0.158 1.000 . 3 . 0.184 1.000 . 4 . 0.211 1.000 . 5 . 0.240 1.000 . 6 . 0.271 1.000 . 7 . 0.303 1.000 . 8 . 0.337 1.000 . 9 . 0.373 1.000 . 10 . 0.410 1.000 . 11 . 0.450 1.000 . 12 . 0.491 1.000 . 13 . 0.536 1.000 . 14 . 0.582 1.000 . 15 . 0.632 1.000 . 16 . 0.685 1.000 . 17 . 0.743 1.000 . 18 . 0.806 1.000 . 19 . 0.875 1.000 . 20 . 0.943 1.000 . 21 . 1.000 1.000 0.429 22 . 1.000 1.000 1.783 23 . 1.000 1.000 2.498 24 . 1.000 1.000 2.803 25 . 1.000 1.000 2.854 26 . 1.000 1.000 2.753 27 . 1.000 1.000 2.565 28 . 1.000 1.000 2.335 29 . 1.000 1.000 2.088 30 . 1.000 1.000 1.844 31 . 1.000 1.000 1.610 32 . 1.000 1.000 1.393 33 . 1.000 1.000 1.196 34 . 1.000 1.000 1.018 35 . 1.000 1.000 0.859 36 . 1.000 1.000 0.719 37 . 1.000 1.000 0.598 38 . 1.000 1.000 0.493 39 . 1.000 1.000 0.407 40 . 1.000 1.000 0.338 41 . 1.000 1.000 0.284 42 . 1.000 1.000 0.181 43 . 1.000 1.000 0.118 44 . 1.000 1.000 0.086 45 . 1.000 1.000 0.051 46 . 1.000 1.000 0.023 47 . 1.000 1.000 0.007 48 . 0.986 1.000 . 49 . 0.809 1.000 . 50 . 0.967 1.000 . 51 . 0.971 1.000 . 52 . 0.974 1.000 . 53 . 0.969 1.000 . 54 . 1.000 1.000 0.009 55 . 0.665 1.000 . 56 . 0.442 1.000 . 57 . . 1.000 -0.014 58 . 0.495 1.000 . 59 . 0.612 1.000 . 60 . 0.395 1.000 . ---- VAR FORC Radiative forcing in watts per m2 LOWER LEVEL UPPER MARGINAL 1 -INF 1.791 +INF . 2 -INF 2.142 +INF . 3 -INF 2.453 +INF . 4 -INF 2.759 +INF . 5 -INF 3.056 +INF . 6 -INF 3.342 +INF . 7 -INF 3.615 +INF . 8 -INF 3.874 +INF . 9 -INF 4.118 +INF . 10 -INF 4.347 +INF . 11 -INF 4.560 +INF . 12 -INF 4.720 +INF . 13 -INF 4.861 +INF . 14 -INF 4.981 +INF . 15 -INF 5.077 +INF . 16 -INF 5.144 +INF . 17 -INF 5.177 +INF . 18 -INF 5.168 +INF . 19 -INF 5.104 +INF . 20 -INF 4.977 +INF . 21 -INF 4.785 +INF . 22 -INF 4.581 +INF . 23 -INF 4.411 +INF . 24 -INF 4.266 +INF . 25 -INF 4.140 +INF . 26 -INF 4.028 +INF . 27 -INF 3.926 +INF . 28 -INF 3.831 +INF . 29 -INF 3.743 +INF . 30 -INF 3.659 +INF . 31 -INF 3.579 +INF . 32 -INF 3.502 +INF . 33 -INF 3.427 +INF . 34 -INF 3.355 +INF . 35 -INF 3.285 +INF . 36 -INF 3.216 +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 2.618 +INF . 47 -INF 2.565 +INF . 48 -INF 2.591 +INF . 49 -INF 3.586 +INF . 50 -INF 4.320 +INF . 51 -INF 4.267 +INF . 52 -INF 4.342 +INF . 53 -INF 4.519 +INF . 54 -INF 4.487 +INF . 55 -INF 4.708 +INF . 56 -INF 6.377 +INF . 57 -INF 8.055 +INF . 58 -INF 9.212 +INF . 59 -INF 9.894 +INF . 60 -INF 6.230 +INF . ---- VAR TATM Temperature of atmosphere in degrees C LOWER LEVEL UPPER MARGINAL 1 . 0.731 20.000 . 2 . 0.951 20.000 . 3 . 1.165 20.000 . 4 . 1.376 20.000 . 5 . 1.584 20.000 . 6 . 1.786 20.000 . 7 . 1.984 20.000 . 8 . 2.175 20.000 . 9 . 2.360 20.000 . 10 . 2.537 20.000 . 11 . 2.706 20.000 . 12 . 2.858 20.000 . 13 . 2.996 20.000 . 14 . 3.119 20.000 . 15 . 3.228 20.000 . 16 . 3.321 20.000 . 17 . 3.396 20.000 . 18 . 3.450 20.000 . 19 . 3.478 20.000 . 20 . 3.476 20.000 . 21 . 3.438 20.000 . 22 . 3.374 20.000 . 23 . 3.301 20.000 . 24 . 3.226 20.000 . 25 . 3.154 20.000 . 26 . 3.087 20.000 . 27 . 3.023 20.000 . 28 . 2.965 20.000 . 29 . 2.910 20.000 . 30 . 2.858 20.000 . 31 . 2.808 20.000 . 32 . 2.761 20.000 . 33 . 2.716 20.000 . 34 . 2.671 20.000 . 35 . 2.628 20.000 . 36 . 2.586 20.000 . 37 . 2.544 20.000 . 38 . 2.504 20.000 . 39 . 2.463 20.000 . 40 . 2.424 20.000 . 41 . 2.385 20.000 . 42 . 2.346 20.000 . 43 . 2.308 20.000 . 44 . 2.271 20.000 . 45 . 2.234 20.000 . 46 . 2.198 20.000 . 47 . 2.162 20.000 . 48 . 2.143 20.000 . 49 . 2.349 20.000 . 50 . 2.645 20.000 . 51 . 2.827 20.000 . 52 . 2.964 20.000 . 53 . 3.094 20.000 . 54 . 3.175 20.000 . 55 . 3.278 20.000 . 56 . 3.715 20.000 . 57 . 4.374 20.000 . 58 . 5.063 20.000 . 59 . 5.672 20.000 . 60 . 5.272 20.000 . ---- VAR TOCEAN Temperatureof lower oceans degrees C LOWER LEVEL UPPER MARGINAL 1 -1.000 0.007 20.000 . 2 -1.000 0.043 20.000 . 3 -1.000 0.088 20.000 . 4 -1.000 0.142 20.000 . 5 -1.000 0.204 20.000 . 6 -1.000 0.273 20.000 . 7 -1.000 0.349 20.000 . 8 -1.000 0.430 20.000 . 9 -1.000 0.518 20.000 . 10 -1.000 0.610 20.000 . 11 -1.000 0.706 20.000 . 12 -1.000 0.806 20.000 . 13 -1.000 0.909 20.000 . 14 -1.000 1.013 20.000 . 15 -1.000 1.118 20.000 . 16 -1.000 1.224 20.000 . 17 -1.000 1.329 20.000 . 18 -1.000 1.432 20.000 . 19 -1.000 1.533 20.000 . 20 -1.000 1.630 20.000 . 21 -1.000 1.722 20.000 . 22 -1.000 1.808 20.000 . 23 -1.000 1.887 20.000 . 24 -1.000 1.957 20.000 . 25 -1.000 2.021 20.000 . 26 -1.000 2.077 20.000 . 27 -1.000 2.128 20.000 . 28 -1.000 2.173 20.000 . 29 -1.000 2.212 20.000 . 30 -1.000 2.247 20.000 . 31 -1.000 2.278 20.000 . 32 -1.000 2.304 20.000 . 33 -1.000 2.327 20.000 . 34 -1.000 2.346 20.000 . 35 -1.000 2.363 20.000 . 36 -1.000 2.376 20.000 . 37 -1.000 2.386 20.000 . 38 -1.000 2.394 20.000 . 39 -1.000 2.400 20.000 . 40 -1.000 2.403 20.000 . 41 -1.000 2.404 20.000 . 42 -1.000 2.403 20.000 . 43 -1.000 2.400 20.000 . 44 -1.000 2.396 20.000 . 45 -1.000 2.389 20.000 . 46 -1.000 2.382 20.000 . 47 -1.000 2.372 20.000 . 48 -1.000 2.362 20.000 . 49 -1.000 2.351 20.000 . 50 -1.000 2.351 20.000 . 51 -1.000 2.366 20.000 . 52 -1.000 2.389 20.000 . 53 -1.000 2.417 20.000 . 54 -1.000 2.451 20.000 . 55 -1.000 2.487 20.000 . 56 -1.000 2.527 20.000 . 57 -1.000 2.586 20.000 . 58 -1.000 2.676 20.000 . 59 -1.000 2.795 20.000 . 60 -1.000 2.939 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 10.000 907.616 +INF -3.986E-5 4 10.000 954.051 +INF -1.040E-4 5 10.000 1001.592 +INF -2.091E-4 6 10.000 1049.524 +INF -3.553E-4 7 10.000 1097.263 +INF -4.747E-4 8 10.000 1144.326 +INF -4.422E-4 9 10.000 1190.281 +INF -6.286E-5 10 10.000 1234.710 +INF 4.3929E-4 11 10.000 1277.194 +INF 2.0812E-4 12 10.000 1317.195 +INF -1.529E-4 13 10.000 1353.988 +INF -7.421E-5 14 10.000 1386.724 +INF 4.8287E-4 15 10.000 1414.634 +INF -1.303E-4 16 10.000 1436.195 +INF -3.476E-5 17 10.000 1449.948 +INF -2.679E-4 18 10.000 1453.638 +INF -1.580E-4 19 10.000 1444.957 +INF -2.722E-4 20 10.000 1420.352 +INF 2.7514E-4 21 10.000 1378.958 +INF 1.8239E-5 22 10.000 1324.010 +INF . 23 10.000 1280.284 +INF . 24 10.000 1244.533 +INF . 25 10.000 1214.494 +INF . 26 10.000 1188.594 +INF . 27 10.000 1165.733 +INF . 28 10.000 1145.143 +INF . 29 10.000 1126.286 +INF . 30 10.000 1108.784 +INF . 31 10.000 1092.367 +INF . 32 10.000 1076.847 +INF . 33 10.000 1062.087 +INF . 34 10.000 1047.986 +INF . 35 10.000 1034.472 +INF . 36 10.000 1021.490 +INF . 37 10.000 1008.998 +INF . 38 10.000 996.962 +INF . 39 10.000 985.355 +INF . 40 10.000 974.155 +INF . 41 10.000 963.344 +INF . 42 10.000 952.903 +INF . 43 10.000 942.819 +INF . 44 10.000 933.078 +INF . 45 10.000 923.666 +INF . 46 10.000 914.573 +INF . 47 10.000 905.787 +INF . 48 10.000 897.298 +INF . 49 10.000 914.155 +INF 1.0196E-5 50 10.000 1257.795 +INF 2.1676E-5 51 10.000 1225.315 +INF 3.7091E-5 52 10.000 1234.190 +INF 3.9782E-5 53 10.000 1258.866 +INF 1.0436E-5 54 10.000 1316.182 +INF . 55 10.000 1244.038 +INF . 56 10.000 1421.310 +INF 9.5247E-6 57 10.000 2192.343 +INF 2.7703E-5 58 10.000 2715.715 +INF . 59 10.000 3345.611 +INF 2.4205E-5 60 10.000 3518.502 +INF . ---- VAR MATAV Average concentrations LOWER LEVEL UPPER MARGINAL 1 . 836.004 +INF . 2 . 885.362 +INF . 3 . 930.834 +INF . 4 . 977.822 +INF . 5 . 1025.558 +INF . 6 . 1073.393 +INF . 7 . 1120.795 +INF . 8 . 1167.303 +INF . 9 . 1212.495 +INF . 10 . 1255.952 +INF . 11 . 1297.194 +INF . 12 . 1335.592 +INF . 13 . 1370.356 +INF . 14 . 1400.679 +INF . 15 . 1425.415 +INF . 16 . 1443.072 +INF . 17 . 1451.793 +INF . 18 . 1449.298 +INF . 19 . 1432.655 +INF . 20 . 1399.655 +INF . 21 . 1351.484 +INF . 22 . 1302.147 +INF . 23 . 1262.408 +INF . 24 . 1229.514 +INF . 25 . 1201.544 +INF . 26 . 1177.164 +INF . 27 . 1155.438 +INF . 28 . 1135.715 +INF . 29 . 1117.535 +INF . 30 . 1100.575 +INF . 31 . 1084.607 +INF . 32 . 1069.467 +INF . 33 . 1055.037 +INF . 34 . 1041.229 +INF . 35 . 1027.981 +INF . 36 . 1015.244 +INF . 37 . 1002.980 +INF . 38 . 991.158 +INF . 39 . 979.755 +INF . 40 . 968.749 +INF . 41 . 958.123 +INF . 42 . 947.861 +INF . 43 . 937.948 +INF . 44 . 928.372 +INF . 45 . 919.120 +INF . 46 . 910.180 +INF . 47 . 901.542 +INF . 48 . 905.726 +INF . 49 . 1085.975 +INF . 50 . 1241.555 +INF . 51 . 1229.753 +INF . 52 . 1246.528 +INF . 53 . 1287.524 +INF . 54 . 1280.110 +INF . 55 . 1332.674 +INF . 56 . 1806.827 +INF . 57 . 2454.029 +INF . 58 . 3030.663 +INF . 59 . 3432.057 +INF . 60 . 1759.251 +INF . ---- VAR MU Carbon concentration in shallow oceans Gtc LOWER LEVEL UPPER MARGINAL 1 100.000 1255.000 +INF . 2 100.000 1280.635 +INF . 3 100.000 1312.775 +INF . 4 100.000 1348.628 +INF . 5 100.000 1388.020 +INF . 6 100.000 1430.643 +INF . 7 100.000 1476.101 +INF . 8 100.000 1523.948 +INF . 9 100.000 1573.711 +INF . 10 100.000 1624.905 +INF . 11 100.000 1677.038 +INF . 12 100.000 1729.612 +INF . 13 100.000 1782.100 +INF . 14 100.000 1833.915 +INF . 15 100.000 1884.396 +INF . 16 100.000 1932.833 +INF . 17 100.000 1978.334 +INF . 18 100.000 2019.860 +INF . 19 100.000 2056.098 +INF . 20 100.000 2085.491 +INF . 21 100.000 2106.037 +INF . 22 100.000 2115.865 +INF . 23 100.000 2113.990 +INF . 24 100.000 2104.261 +INF . 25 100.000 2089.341 +INF . 26 100.000 2071.076 +INF . 27 100.000 2050.737 +INF . 28 100.000 2029.202 +INF . 29 100.000 2007.074 +INF . 30 100.000 1984.763 +INF . 31 100.000 1962.550 +INF . 32 100.000 1940.622 +INF . 33 100.000 1919.102 +INF . 34 100.000 1898.071 +INF . 35 100.000 1877.577 +INF . 36 100.000 1857.650 +INF . 37 100.000 1838.302 +INF . 38 100.000 1819.538 +INF . 39 100.000 1801.355 +INF . 40 100.000 1783.745 +INF . 41 100.000 1766.698 +INF . 42 100.000 1750.202 +INF . 43 100.000 1734.242 +INF . 44 100.000 1718.805 +INF . 45 100.000 1703.875 +INF . 46 100.000 1689.438 +INF . 47 100.000 1675.479 +INF . 48 100.000 1661.983 +INF . 49 100.000 1648.935 +INF . 50 100.000 1641.066 +INF . 51 100.000 1699.466 +INF . 52 100.000 1743.184 +INF . 53 100.000 1782.218 +INF . 54 100.000 1820.254 +INF . 55 100.000 1863.625 +INF . 56 100.000 1887.045 +INF . 57 100.000 1940.669 +INF . 58 100.000 2132.445 +INF . 59 100.000 2395.166 +INF . 60 100.000 2738.579 +INF -1.405E-4 ---- VAR ML Carbon concentration in lower oceans GtC LOWER LEVEL UPPER MARGINAL 1 1000.000 18365.000 +INF . 2 1000.000 18370.477 +INF . 3 1000.000 18377.219 +INF . 4 1000.000 18385.547 +INF . 5 1000.000 18395.642 +INF . 6 1000.000 18407.675 +INF . 7 1000.000 18421.801 +INF . 8 1000.000 18438.156 +INF . 9 1000.000 18456.853 +INF . 10 1000.000 18477.979 +INF . 11 1000.000 18501.600 +INF . 12 1000.000 18527.753 +INF . 13 1000.000 18556.453 +INF . 14 1000.000 18587.689 +INF . 15 1000.000 18621.417 +INF . 16 1000.000 18657.565 +INF . 17 1000.000 18696.021 +INF . 18 1000.000 18736.633 +INF . 19 1000.000 18779.194 +INF . 20 1000.000 18823.435 +INF . 21 1000.000 18869.007 +INF . 22 1000.000 18915.464 +INF . 23 1000.000 18962.268 +INF . 24 1000.000 19008.833 +INF . 25 1000.000 19054.765 +INF . 26 1000.000 19099.808 +INF . 27 1000.000 19143.798 +INF . 28 1000.000 19186.633 +INF . 29 1000.000 19228.259 +INF . 30 1000.000 19268.647 +INF . 31 1000.000 19307.795 +INF . 32 1000.000 19345.710 +INF . 33 1000.000 19382.410 +INF . 34 1000.000 19417.919 +INF . 35 1000.000 19452.266 +INF . 36 1000.000 19485.482 +INF . 37 1000.000 19517.597 +INF . 38 1000.000 19548.645 +INF . 39 1000.000 19578.658 +INF . 40 1000.000 19607.668 +INF . 41 1000.000 19635.708 +INF . 42 1000.000 19662.807 +INF . 43 1000.000 19688.997 +INF . 44 1000.000 19714.308 +INF . 45 1000.000 19738.767 +INF . 46 1000.000 19762.404 +INF . 47 1000.000 19785.246 +INF . 48 1000.000 19807.318 +INF . 49 1000.000 19828.646 +INF . 50 1000.000 19849.256 +INF . 51 1000.000 19869.408 +INF . 52 1000.000 19892.417 +INF . 53 1000.000 19917.540 +INF . 54 1000.000 19944.536 +INF . 55 1000.000 19973.350 +INF . 56 1000.000 20004.243 +INF . 57 1000.000 20036.211 +INF . 58 1000.000 20070.760 +INF . 59 1000.000 20114.790 +INF . 60 1000.000 20171.819 +INF . ---- VAR E CO2-equivalent emissions GtC LOWER LEVEL UPPER MARGINAL 1 . 85.320 +INF . 2 . 83.390 +INF . 3 . 90.616 +INF . 4 . 97.027 +INF . 5 . 102.587 +INF . 6 . 107.324 +INF . 7 . 111.266 +INF . 8 . 114.414 +INF . 9 . 116.750 +INF . 10 . 118.238 +INF . 11 . 118.728 +INF . 12 . 117.981 +INF . 13 . 115.786 +INF . 14 . 112.120 +INF . 15 . 106.146 +INF . 16 . 97.711 +INF . 17 . 85.827 +INF . 18 . 70.119 +INF . 19 . 49.028 +INF . 20 . 24.724 +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 . 0.096 +INF . 47 . 0.086 +INF . 48 . 25.138 +INF . 49 . 356.381 +INF . 50 . 46.072 +INF . 51 . 75.602 +INF . 52 . 88.832 +INF . 53 . 122.349 +INF . 54 . 0.041 +INF . 55 . 231.585 +INF . 56 . 856.624 +INF . 57 . 749.698 +INF . 58 . 936.647 +INF . 59 . 573.333 +INF . 60 . 512.797 +INF 4.7556E-7 ---- VAR C Consumption trillions US dollars LOWER LEVEL UPPER MARGINAL 1 20.000 43.354 +INF . 2 20.000 54.199 +INF . 3 20.000 66.322 +INF . 4 20.000 79.624 +INF . 5 20.000 94.141 +INF . 6 20.000 109.993 +INF . 7 20.000 127.359 +INF . 8 20.000 146.451 +INF . 9 20.000 167.506 +INF . 10 20.000 190.785 +INF . 11 20.000 216.566 +INF . 12 20.000 245.179 +INF . 13 20.000 276.958 +INF . 14 20.000 312.270 +INF . 15 20.000 351.495 +INF . 16 20.000 395.065 +INF . 17 20.000 443.436 +INF . 18 20.000 497.137 +INF . 19 20.000 556.721 +INF . 20 20.000 622.998 +INF . 21 20.000 697.067 +INF . 22 20.000 781.220 +INF . 23 20.000 875.168 +INF . 24 20.000 979.578 +INF . 25 20.000 1095.248 +INF . 26 20.000 1223.095 +INF . 27 20.000 1364.155 +INF . 28 20.000 1519.569 +INF . 29 20.000 1690.586 +INF . 30 20.000 1878.558 +INF . 31 20.000 2084.947 +INF . 32 20.000 2311.318 +INF . 33 20.000 2559.351 +INF . 34 20.000 2830.842 +INF . 35 20.000 3127.708 +INF . 36 20.000 3451.991 +INF . 37 20.000 3805.867 +INF . 38 20.000 4191.650 +INF . 39 20.000 4611.796 +INF . 40 20.000 5068.915 +INF . 41 20.000 5565.770 +INF . 42 20.000 5123.787 +INF . 43 20.000 5450.850 +INF . 44 20.000 6626.999 +INF . 45 20.000 7616.219 +INF . 46 20.000 8529.736 +INF . 47 20.000 9429.483 +INF . 48 20.000 6136.765 +INF . 49 20.000 6362.904 +INF . 50 20.000 4803.393 +INF . 51 20.000 9068.331 +INF . 52 20.000 12043.168 +INF . 53 20.000 14252.301 +INF . 54 20.000 16091.742 +INF . 55 20.000 2555.521 +INF . 56 20.000 5719.575 +INF . 57 20.000 2791.336 +INF . 58 20.000 6874.471 +INF . 59 20.000 5443.471 +INF . 60 20.000 3200.938 +INF . ---- VAR K Capital stock trillions US dollars LOWER LEVEL UPPER MARGINAL 1 100.000 137.000 +INF . 2 100.000 170.053 +INF . 3 100.000 212.167 +INF . 4 100.000 261.043 +INF . 5 100.000 315.604 +INF . 6 100.000 375.572 +INF . 7 100.000 441.194 +INF . 8 100.000 513.056 +INF . 9 100.000 591.960 +INF . 10 100.000 678.859 +INF . 11 100.000 774.817 +INF . 12 100.000 880.991 +INF . 13 100.000 998.715 +INF . 14 100.000 1129.398 +INF . 15 100.000 1274.562 +INF . 16 100.000 1435.812 +INF . 17 100.000 1614.926 +INF . 18 100.000 1813.811 +INF . 19 100.000 2034.622 +INF . 20 100.000 2279.671 +INF . 21 100.000 2552.047 +INF . 22 100.000 2855.934 +INF . 23 100.000 3199.246 +INF . 24 100.000 3583.934 +INF . 25 100.000 4012.557 +INF . 26 100.000 4488.255 +INF . 27 100.000 5014.716 +INF . 28 100.000 5596.142 +INF . 29 100.000 6237.220 +INF . 30 100.000 6943.105 +INF . 31 100.000 7719.412 +INF . 32 100.000 8572.214 +INF . 33 100.000 9508.050 +INF . 34 100.000 10533.936 +INF . 35 100.000 11657.385 +INF . 36 100.000 12886.421 +INF . 37 100.000 14229.605 +INF . 38 100.000 15696.056 +INF . 39 100.000 17295.481 +INF . 40 100.000 19038.195 +INF . 41 100.000 20935.150 +INF . 42 100.000 12822.464 +INF 3.8876E-5 43 100.000 12746.962 +INF 4.7743E-5 44 100.000 19818.785 +INF . 45 100.000 25601.920 +INF . 46 100.000 30408.483 +INF . 47 100.000 34661.014 +INF . 48 100.000 6770.409 +INF 2.5156E-5 49 100.000 6278.015 +INF 2.2507E-5 50 100.000 2062.687 +INF . 51 100.000 14267.249 +INF . 52 100.000 30552.030 +INF . 53 100.000 44620.748 +INF 1.0756E-6 54 100.000 55757.094 +INF . 55 100.000 100.000 +INF 0.001 56 100.000 1250.864 +INF . 57 100.000 100.000 +INF 0.001 58 100.000 1789.146 +INF . 59 100.000 729.280 +INF . 60 100.000 100.000 +INF 5.4638E-4 ---- VAR CPC Per capita consumption thousands US dollars LOWER LEVEL UPPER MARGINAL 1 -INF 6.656 +INF . 2 -INF 7.602 +INF . 3 -INF 8.768 +INF . 4 -INF 10.117 +INF . 5 -INF 11.643 +INF . 6 -INF 13.353 +INF . 7 -INF 15.263 +INF . 8 -INF 17.393 +INF . 9 -INF 19.769 +INF . 10 -INF 22.417 +INF . 11 -INF 25.368 +INF . 12 -INF 28.657 +INF . 13 -INF 32.322 +INF . 14 -INF 36.404 +INF . 15 -INF 40.946 +INF . 16 -INF 45.996 +INF . 17 -INF 51.609 +INF . 18 -INF 57.843 +INF . 19 -INF 64.764 +INF . 20 -INF 72.464 +INF . 21 -INF 81.072 +INF . 22 -INF 90.854 +INF . 23 -INF 101.775 +INF . 24 -INF 113.913 +INF . 25 -INF 127.361 +INF . 26 -INF 142.226 +INF . 27 -INF 158.627 +INF . 28 -INF 176.697 +INF . 29 -INF 196.582 +INF . 30 -INF 218.439 +INF . 31 -INF 242.437 +INF . 32 -INF 268.759 +INF . 33 -INF 297.600 +INF . 34 -INF 329.168 +INF . 35 -INF 363.688 +INF . 36 -INF 401.395 +INF . 37 -INF 442.543 +INF . 38 -INF 487.401 +INF . 39 -INF 536.256 +INF . 40 -INF 589.409 +INF . 41 -INF 647.183 +INF . 42 -INF 595.789 +INF . 43 -INF 633.820 +INF . 44 -INF 770.581 +INF . 45 -INF 885.607 +INF . 46 -INF 991.830 +INF . 47 -INF 1096.452 +INF . 48 -INF 713.577 +INF . 49 -INF 739.873 +INF . 50 -INF 558.534 +INF . 51 -INF 1054.457 +INF . 52 -INF 1400.368 +INF . 53 -INF 1657.244 +INF . 54 -INF 1871.133 +INF . 55 -INF 297.154 +INF . 56 -INF 665.067 +INF . 57 -INF 324.574 +INF . 58 -INF 799.357 +INF . 59 -INF 632.962 +INF . 60 -INF 372.202 +INF . ---- VAR PCY Per capita income thousands US dollars LOWER LEVEL UPPER MARGINAL 1 -INF 8.533 +INF . 2 -INF 9.746 +INF . 3 -INF 11.241 +INF . 4 -INF 12.971 +INF . 5 -INF 14.927 +INF . 6 -INF 17.119 +INF . 7 -INF 19.567 +INF . 8 -INF 22.299 +INF . 9 -INF 25.345 +INF . 10 -INF 28.740 +INF . 11 -INF 32.523 +INF . 12 -INF 36.740 +INF . 13 -INF 41.439 +INF . 14 -INF 46.672 +INF . 15 -INF 52.494 +INF . 16 -INF 58.970 +INF . 17 -INF 66.165 +INF . 18 -INF 74.158 +INF . 19 -INF 83.031 +INF . 20 -INF 92.903 +INF . 21 -INF 103.939 +INF . 22 -INF 116.479 +INF . 23 -INF 130.481 +INF . 24 -INF 146.043 +INF . 25 -INF 163.284 +INF . 26 -INF 182.341 +INF . 27 -INF 203.368 +INF . 28 -INF 226.535 +INF . 29 -INF 252.029 +INF . 30 -INF 280.050 +INF . 31 -INF 310.817 +INF . 32 -INF 344.563 +INF . 33 -INF 381.538 +INF . 34 -INF 422.011 +INF . 35 -INF 466.266 +INF . 36 -INF 514.609 +INF . 37 -INF 567.363 +INF . 38 -INF 624.874 +INF . 39 -INF 687.507 +INF . 40 -INF 755.652 +INF . 41 -INF 829.721 +INF . 42 -INF 763.832 +INF . 43 -INF 812.590 +INF . 44 -INF 987.925 +INF . 45 -INF 1135.393 +INF . 46 -INF 1271.577 +INF . 47 -INF 1405.707 +INF . 48 -INF 914.843 +INF . 49 -INF 948.555 +INF . 50 -INF 716.069 +INF . 51 -INF 1351.868 +INF . 52 -INF 1795.344 +INF . 53 -INF 2124.672 +INF . 54 -INF 2398.888 +INF . 55 -INF 380.966 +INF . 56 -INF 852.650 +INF . 57 -INF 416.121 +INF . 58 -INF 1024.817 +INF . 59 -INF 811.489 +INF . 60 -INF 477.182 +INF . ---- VAR I Investment trillions US dollars LOWER LEVEL UPPER MARGINAL 1 . 12.228 +INF . 2 . 15.287 +INF . 3 . 18.707 +INF . 4 . 22.458 +INF . 5 . 26.553 +INF . 6 . 31.024 +INF . 7 . 35.922 +INF . 8 . 41.307 +INF . 9 . 47.246 +INF . 10 . 53.811 +INF . 11 . 61.083 +INF . 12 . 69.153 +INF . 13 . 78.117 +INF . 14 . 88.077 +INF . 15 . 99.140 +INF . 16 . 111.429 +INF . 17 . 125.072 +INF . 18 . 140.218 +INF . 19 . 157.024 +INF . 20 . 175.718 +INF . 21 . 196.609 +INF . 22 . 220.344 +INF . 23 . 246.843 +INF . 24 . 276.292 +INF . 25 . 308.916 +INF . 26 . 344.976 +INF . 27 . 384.762 +INF . 28 . 428.597 +INF . 29 . 476.832 +INF . 30 . 529.850 +INF . 31 . 588.062 +INF . 32 . 651.910 +INF . 33 . 721.868 +INF . 34 . 798.443 +INF . 35 . 882.174 +INF . 36 . 973.639 +INF . 37 . 1073.450 +INF . 38 . 1182.260 +INF . 39 . 1300.763 +INF . 40 . 1429.694 +INF . 41 . 1569.833 +INF . 42 . 1445.171 +INF . 43 . 1537.419 +INF . 44 . 1869.154 +INF . 45 . 2148.165 +INF . 46 . 2405.823 +INF . 47 . 2659.598 +INF . 48 . 1730.883 +INF . 49 . 1794.665 +INF . 50 . 1354.803 +INF . 51 . 2557.735 +INF . 52 . 3396.791 +INF . 53 . 4019.880 +INF . 54 . 4538.697 +INF . 55 . 720.788 +INF . 56 . 1613.214 +INF . 57 . 787.300 +INF . 58 . 1938.954 +INF . 59 . 1535.338 +INF . 60 . 902.829 +INF . ---- VAR S Gross savings rate as fraction of gross world product LOWER LEVEL UPPER MARGINAL 1 0.220 0.220 0.220 1936.125 2 0.220 0.220 0.220 -861.807 3 0.220 0.220 0.220 -1783.328 4 0.220 0.220 0.220 -1898.961 5 0.220 0.220 0.220 -1704.672 6 0.220 0.220 0.220 -1419.963 7 0.220 0.220 0.220 -1136.693 8 0.220 0.220 0.220 -888.882 9 0.220 0.220 0.220 -685.021 10 0.220 0.220 0.220 -523.051 11 0.220 0.220 0.220 -397.277 12 0.220 0.220 0.220 -300.035 13 0.220 0.220 0.220 -225.548 14 0.220 0.220 0.220 -168.760 15 0.220 0.220 0.220 -125.763 16 0.220 0.220 0.220 -93.266 17 0.220 0.220 0.220 -68.901 18 0.220 0.220 0.220 -50.788 19 0.220 0.220 0.220 -37.813 20 0.220 0.220 0.220 -28.808 21 0.220 0.220 0.220 -22.721 22 0.220 0.220 0.220 -17.074 23 0.220 0.220 0.220 -12.777 24 0.220 0.220 0.220 -9.544 25 0.220 0.220 0.220 -7.128 26 0.220 0.220 0.220 -5.325 27 0.220 0.220 0.220 -3.982 28 0.220 0.220 0.220 -2.980 29 0.220 0.220 0.220 -2.233 30 0.220 0.220 0.220 -1.675 31 0.220 0.220 0.220 -1.258 32 0.220 0.220 0.220 -0.948 33 0.220 0.220 0.220 -0.719 34 0.220 0.220 0.220 -0.554 35 0.220 0.220 0.220 -0.444 36 0.220 0.220 0.220 -0.385 37 0.220 0.220 0.220 -0.389 38 0.220 0.220 0.220 -0.483 39 0.220 0.220 0.220 -0.728 40 0.220 0.220 0.220 -1.247 41 0.220 0.220 0.220 -2.276 42 0.220 0.220 0.220 -2.130 43 0.220 0.220 0.220 -0.145 44 0.220 0.220 0.220 -0.123 45 0.220 0.220 0.220 -0.174 46 0.220 0.220 0.220 -0.299 47 0.220 0.220 0.220 -0.550 48 0.220 0.220 0.220 -0.728 49 0.220 0.220 0.220 -0.605 50 0.220 0.220 0.220 -2.771 51 0.220 0.220 0.220 -5.424 52 0.220 0.220 0.220 -10.505 53 0.220 0.220 0.220 -0.062 54 0.220 0.220 0.220 -0.114 55 0.220 0.220 0.220 -0.617 56 0.220 0.220 0.220 -0.237 57 0.220 0.220 0.220 -0.419 58 0.220 0.220 0.220 -0.147 59 0.220 0.220 0.220 -0.160 60 0.220 0.220 0.220 -0.234 ---- VAR RI Real interest rate per annum LOWER LEVEL UPPER MARGINAL 1 -INF 0.057 +INF . 2 -INF 0.057 +INF . 3 -INF 0.055 +INF . 4 -INF 0.052 +INF . 5 -INF 0.050 +INF . 6 -INF 0.048 +INF . 7 -INF 0.046 +INF . 8 -INF 0.045 +INF . 9 -INF 0.044 +INF . 10 -INF 0.043 +INF . 11 -INF 0.042 +INF . 12 -INF 0.042 +INF . 13 -INF 0.042 +INF . 14 -INF 0.041 +INF . 15 -INF 0.041 +INF . 16 -INF 0.041 +INF . 17 -INF 0.040 +INF . 18 -INF 0.040 +INF . 19 -INF 0.040 +INF . 20 -INF 0.040 +INF . 21 -INF 0.040 +INF . 22 -INF 0.040 +INF . 23 -INF 0.040 +INF . 24 -INF 0.040 +INF . 25 -INF 0.040 +INF . 26 -INF 0.040 +INF . 27 -INF 0.039 +INF . 28 -INF 0.039 +INF . 29 -INF 0.039 +INF . 30 -INF 0.039 +INF . 31 -INF 0.039 +INF . 32 -INF 0.039 +INF . 33 -INF 0.038 +INF . 34 -INF 0.038 +INF . 35 -INF 0.038 +INF . 36 -INF 0.038 +INF . 37 -INF 0.038 +INF . 38 -INF 0.038 +INF . 39 -INF 0.037 +INF . 40 -INF 0.037 +INF . 41 -INF 0.037 +INF . 42 -INF 0.089 +INF . 43 -INF 0.099 +INF . 44 -INF 0.063 +INF . 45 -INF 0.049 +INF . 46 -INF 0.043 +INF . 47 -INF 0.040 +INF . 48 -INF 0.283 +INF . 49 -INF 0.325 +INF . 50 -INF 0.831 +INF . 51 -INF 0.179 +INF . 52 -INF 0.086 +INF . 53 -INF 0.058 +INF . 54 -INF 0.046 +INF . 55 -INF 9.764 +INF . 56 -INF 1.694 +INF . 57 -INF 10.671 +INF . 58 -INF 1.413 +INF . 59 -INF 2.806 +INF . 60 -INF 12.246 +INF . ---- VAR Y Gross world product net of abatement and damages LOWER LEVEL UPPER MARGINAL 1 . 55.583 +INF . 2 . 69.487 +INF . 3 . 85.029 +INF . 4 . 102.082 +INF . 5 . 120.693 +INF . 6 . 141.017 +INF . 7 . 163.281 +INF . 8 . 187.757 +INF . 9 . 214.751 +INF . 10 . 244.596 +INF . 11 . 277.649 +INF . 12 . 314.332 +INF . 13 . 355.075 +INF . 14 . 400.347 +INF . 15 . 450.635 +INF . 16 . 506.494 +INF . 17 . 568.508 +INF . 18 . 637.356 +INF . 19 . 713.745 +INF . 20 . 798.715 +INF . 21 . 893.676 +INF . 22 . 1001.564 +INF . 23 . 1122.011 +INF . 24 . 1255.870 +INF . 25 . 1404.164 +INF . 26 . 1568.071 +INF . 27 . 1748.916 +INF . 28 . 1948.165 +INF . 29 . 2167.418 +INF . 30 . 2408.409 +INF . 31 . 2673.009 +INF . 32 . 2963.228 +INF . 33 . 3281.219 +INF . 34 . 3629.285 +INF . 35 . 4009.882 +INF . 36 . 4425.630 +INF . 37 . 4879.317 +INF . 38 . 5373.910 +INF . 39 . 5912.560 +INF . 40 . 6498.609 +INF . 41 . 7135.603 +INF . 42 . 6568.957 +INF . 43 . 6988.269 +INF . 44 . 8496.152 +INF . 45 . 9764.383 +INF . 46 . 10935.559 +INF . 47 . 12089.081 +INF . 48 . 7867.648 +INF . 49 . 8157.569 +INF . 50 . 6158.197 +INF . 51 . 11626.066 +INF . 52 . 15439.960 +INF . 53 . 18272.181 +INF . 54 . 20630.438 +INF . 55 . 3276.310 +INF . 56 . 7332.789 +INF . 57 . 3578.637 +INF . 58 . 8813.424 +INF . 59 . 6978.809 +INF . 60 . 4103.767 +INF . ---- VAR YGROSS Gross world product GROSS of abatement and damages LOWER LEVEL UPPER MARGINAL 1 . 55.667 +INF . 2 . 69.685 +INF . 3 . 85.391 +INF . 4 . 102.688 +INF . 5 . 121.641 +INF . 6 . 142.428 +INF . 7 . 165.301 +INF . 8 . 190.559 +INF . 9 . 218.540 +INF . 10 . 249.610 +INF . 11 . 284.167 +INF . 12 . 322.636 +INF . 13 . 365.489 +INF . 14 . 413.228 +INF . 15 . 466.399 +INF . 16 . 525.587 +INF . 17 . 591.429 +INF . 18 . 664.617 +INF . 19 . 745.907 +INF . 20 . 836.116 +INF . 21 . 936.193 +INF . 22 . 1047.257 +INF . 23 . 1170.887 +INF . 24 . 1308.063 +INF . 25 . 1459.889 +INF . 26 . 1627.596 +INF . 27 . 1812.546 +INF . 28 . 2016.224 +INF . 29 . 2240.248 +INF . 30 . 2486.364 +INF . 31 . 2756.453 +INF . 32 . 3052.532 +INF . 33 . 3376.764 +INF . 34 . 3731.459 +INF . 35 . 4119.084 +INF . 36 . 4542.270 +INF . 37 . 5003.815 +INF . 38 . 5506.697 +INF . 39 . 6054.080 +INF . 40 . 6649.320 +INF . 41 . 7295.977 +INF . 42 . 6712.066 +INF . 43 . 7135.872 +INF . 44 . 8670.167 +INF . 45 . 9958.353 +INF . 46 . 11146.296 +INF . 47 . 12315.126 +INF . 48 . 8010.434 +INF . 49 . 8308.776 +INF . 50 . 6309.218 +INF . 51 . 11943.785 +INF . 52 . 15896.017 +INF . 53 . 18850.307 +INF . 54 . 21319.443 +INF . 55 . 3381.149 +INF . 56 . 7623.573 +INF 2.4247E-5 57 . 3772.957 +INF . 58 . 9460.626 +INF 1.2068E-5 59 . 7624.285 +INF 1.6292E-5 60 . 4428.925 +INF . ---- VAR YNET Output net of damages equation LOWER LEVEL UPPER MARGINAL 1 -INF 55.583 +INF . 2 -INF 69.507 +INF . 3 -INF 85.063 +INF . 4 -INF 102.139 +INF . 5 -INF 120.781 +INF . 6 -INF 141.149 +INF . 7 -INF 163.474 +INF . 8 -INF 188.033 +INF . 9 -INF 215.139 +INF . 10 -INF 245.132 +INF . 11 -INF 278.380 +INF . 12 -INF 315.323 +INF . 13 -INF 356.409 +INF . 14 -INF 402.124 +INF . 15 -INF 453.002 +INF . 16 -INF 509.633 +INF . 17 -INF 572.681 +INF . 18 -INF 642.893 +INF . 19 -INF 721.137 +INF . 20 -INF 808.394 +INF . 21 -INF 905.801 +INF . 22 -INF 1014.464 +INF . 23 -INF 1135.752 +INF . 24 -INF 1270.518 +INF . 25 -INF 1419.785 +INF . 26 -INF 1584.736 +INF . 27 -INF 1766.698 +INF . 28 -INF 1967.141 +INF . 29 -INF 2187.671 +INF . 30 -INF 2430.027 +INF . 31 -INF 2696.087 +INF . 32 -INF 2987.867 +INF . 33 -INF 3307.526 +INF . 34 -INF 3657.374 +INF . 35 -INF 4039.875 +INF . 36 -INF 4457.657 +INF . 37 -INF 4913.518 +INF . 38 -INF 5410.430 +INF . 39 -INF 5951.556 +INF . 40 -INF 6540.247 +INF . 41 -INF 7180.059 +INF . 42 -INF 6608.789 +INF . 43 -INF 7029.546 +INF . 44 -INF 8545.078 +INF . 45 -INF 9819.248 +INF . 46 -INF 10995.562 +INF . 47 -INF 12153.907 +INF . 48 -INF 7907.335 +INF . 49 -INF 8180.616 +INF . 50 -INF 6186.358 +INF . 51 -INF 11678.769 +INF . 52 -INF 15509.200 +INF . 53 -INF 18351.508 +INF . 54 -INF 20726.490 +INF . 55 -INF 3281.070 +INF . 56 -INF 7336.130 +INF . 57 -INF 3578.637 +INF . 58 -INF 8818.765 +INF . 59 -INF 6986.337 +INF . 60 -INF 4105.044 +INF . ---- VAR DAMAGES Damages LOWER LEVEL UPPER MARGINAL 1 -INF 0.084 +INF . 2 -INF 0.178 +INF . 3 -INF 0.328 +INF . 4 -INF 0.549 +INF . 5 -INF 0.860 +INF . 6 -INF 1.279 +INF . 7 -INF 1.827 +INF . 8 -INF 2.526 +INF . 9 -INF 3.401 +INF . 10 -INF 4.479 +INF . 11 -INF 5.787 +INF . 12 -INF 7.313 +INF . 13 -INF 9.080 +INF . 14 -INF 11.105 +INF . 15 -INF 13.397 +INF . 16 -INF 15.954 +INF . 17 -INF 18.749 +INF . 18 -INF 21.724 +INF . 19 -INF 24.770 +INF . 20 -INF 27.722 +INF . 21 -INF 30.392 +INF . 22 -INF 32.793 +INF . 23 -INF 35.135 +INF . 24 -INF 37.546 +INF . 25 -INF 40.104 +INF . 26 -INF 42.861 +INF . 27 -INF 45.847 +INF . 28 -INF 49.083 +INF . 29 -INF 52.577 +INF . 30 -INF 56.337 +INF . 31 -INF 60.365 +INF . 32 -INF 64.665 +INF . 33 -INF 69.238 +INF . 34 -INF 74.085 +INF . 35 -INF 79.209 +INF . 36 -INF 84.612 +INF . 37 -INF 90.297 +INF . 38 -INF 96.267 +INF . 39 -INF 102.524 +INF . 40 -INF 109.073 +INF . 41 -INF 115.918 +INF . 42 -INF 103.278 +INF . 43 -INF 106.326 +INF . 44 -INF 125.089 +INF . 45 -INF 139.105 +INF . 46 -INF 150.734 +INF . 47 -INF 161.219 +INF . 48 -INF 103.099 +INF . 49 -INF 128.159 +INF . 50 -INF 122.860 +INF . 51 -INF 265.016 +INF . 52 -INF 386.816 +INF . 53 -INF 498.799 +INF . 54 -INF 592.954 +INF . 55 -INF 100.079 +INF . 56 -INF 287.443 +INF . 57 -INF 194.321 +INF . 58 -INF 641.861 +INF . 59 -INF 637.948 +INF . 60 -INF 323.881 +INF . ---- VAR ABATECOST Cost of emissions reductions LOWER LEVEL UPPER MARGINAL 1 -INF 1.3292E-5 +INF . 2 -INF 0.020 +INF . 3 -INF 0.035 +INF . 4 -INF 0.057 +INF . 5 -INF 0.088 +INF . 6 -INF 0.133 +INF . 7 -INF 0.195 +INF . 8 -INF 0.280 +INF . 9 -INF 0.394 +INF . 10 -INF 0.545 +INF . 11 -INF 0.747 +INF . 12 -INF 1.014 +INF . 13 -INF 1.368 +INF . 14 -INF 1.826 +INF . 15 -INF 2.437 +INF . 16 -INF 3.237 +INF . 17 -INF 4.309 +INF . 18 -INF 5.725 +INF . 19 -INF 7.645 +INF . 20 -INF 10.011 +INF . 21 -INF 12.532 +INF . 22 -INF 13.317 +INF . 23 -INF 14.166 +INF . 24 -INF 15.081 +INF . 25 -INF 16.063 +INF . 26 -INF 17.116 +INF . 27 -INF 18.243 +INF . 28 -INF 19.450 +INF . 29 -INF 20.740 +INF . 30 -INF 22.120 +INF . 31 -INF 23.595 +INF . 32 -INF 25.172 +INF . 33 -INF 26.858 +INF . 34 -INF 28.658 +INF . 35 -INF 30.582 +INF . 36 -INF 32.636 +INF . 37 -INF 34.829 +INF . 38 -INF 37.170 +INF . 39 -INF 39.668 +INF . 40 -INF 42.332 +INF . 41 -INF 45.174 +INF . 42 -INF 40.454 +INF . 43 -INF 41.901 +INF . 44 -INF 49.642 +INF . 45 -INF 55.642 +INF . 46 -INF 60.826 +INF . 47 -INF 65.685 +INF . 48 -INF 40.205 +INF . 49 -INF 23.408 +INF . 50 -INF 28.720 +INF . 51 -INF 53.899 +INF . 52 -INF 70.968 +INF . 53 -INF 81.483 +INF . 54 -INF 98.799 +INF . 55 -INF 4.906 +INF . 56 -INF 3.472 +INF . 57 -INF . +INF . 58 -INF 5.730 +INF . 59 -INF 8.215 +INF . 60 -INF 1.378 +INF . ---- VAR CCA Cumulative industrial carbon emissions GTC LOWER LEVEL UPPER MARGINAL 1 . . 6000.000 . 2 . 85.320 6000.000 . 3 . 168.710 6000.000 . 4 . 259.327 6000.000 . 5 . 356.354 6000.000 . 6 . 458.941 6000.000 . 7 . 566.265 6000.000 . 8 . 677.531 6000.000 . 9 . 791.944 6000.000 . 10 . 908.694 6000.000 . 11 . 1026.932 6000.000 . 12 . 1145.660 6000.000 . 13 . 1263.641 6000.000 . 14 . 1379.428 6000.000 . 15 . 1491.547 6000.000 . 16 . 1597.693 6000.000 . 17 . 1695.404 6000.000 . 18 . 1781.231 6000.000 . 19 . 1851.350 6000.000 . 20 . 1900.378 6000.000 . 21 . 1925.102 6000.000 . 22 . 1926.439 6000.000 . 23 . 1927.643 6000.000 . 24 . 1928.726 6000.000 . 25 . 1929.701 6000.000 . 26 . 1930.579 6000.000 . 27 . 1931.368 6000.000 . 28 . 1932.079 6000.000 . 29 . 1932.719 6000.000 . 30 . 1933.294 6000.000 . 31 . 1933.812 6000.000 . 32 . 1934.279 6000.000 . 33 . 1934.698 6000.000 . 34 . 1935.076 6000.000 . 35 . 1935.416 6000.000 . 36 . 1935.722 6000.000 . 37 . 1935.997 6000.000 . 38 . 1936.245 6000.000 . 39 . 1936.468 6000.000 . 40 . 1936.669 6000.000 . 41 . 1936.849 6000.000 . 42 . 1937.012 6000.000 . 43 . 1937.158 6000.000 . 44 . 1937.290 6000.000 . 45 . 1937.409 6000.000 . 46 . 1937.515 6000.000 . 47 . 1937.611 6000.000 . 48 . 1937.698 6000.000 . 49 . 1962.836 6000.000 . 50 . 2319.217 6000.000 . 51 . 2365.289 6000.000 . 52 . 2440.891 6000.000 . 53 . 2529.723 6000.000 . 54 . 2652.072 6000.000 . 55 . 2652.114 6000.000 . 56 . 2883.698 6000.000 . 57 . 3740.322 6000.000 . 58 . 4490.020 6000.000 . 59 . 5426.667 6000.000 . 60 . 6000.000 6000.000 -2.546E-6 ---- VAR PERIODU One period utility function LOWER LEVEL UPPER MARGINAL 1 -INF -149.250 +INF . 2 -INF -130.552 +INF . 3 -INF -113.051 +INF . 4 -INF -97.840 +INF . 5 -INF -84.889 +INF . 6 -INF -73.891 +INF . 7 -INF -64.520 +INF . 8 -INF -56.494 +INF . 9 -INF -49.584 +INF . 10 -INF -43.608 +INF . 11 -INF -38.420 +INF . 12 -INF -33.895 +INF . 13 -INF -29.939 +INF . 14 -INF -26.470 +INF . 15 -INF -23.423 +INF . 16 -INF -20.741 +INF . 17 -INF -18.377 +INF . 18 -INF -16.288 +INF . 19 -INF -14.441 +INF . 20 -INF -12.800 +INF . 21 -INF -11.335 +INF . 22 -INF -10.007 +INF . 23 -INF -8.826 +INF . 24 -INF -7.779 +INF . 25 -INF -6.852 +INF . 26 -INF -6.031 +INF . 27 -INF -5.304 +INF . 28 -INF -4.659 +INF . 29 -INF -4.087 +INF . 30 -INF -3.578 +INF . 31 -INF -3.125 +INF . 32 -INF -2.721 +INF . 33 -INF -2.360 +INF . 34 -INF -2.038 +INF . 35 -INF -1.750 +INF . 36 -INF -1.491 +INF . 37 -INF -1.260 +INF . 38 -INF -1.052 +INF . 39 -INF -0.865 +INF . 40 -INF -0.697 +INF . 41 -INF -0.545 +INF . 42 -INF -0.678 +INF . 43 -INF -0.578 +INF . 44 -INF -0.298 +INF . 45 -INF -0.129 +INF . 46 -INF -0.008 +INF . 47 -INF 0.088 +INF . 48 -INF -0.401 +INF . 49 -INF -0.352 +INF . 50 -INF -0.790 +INF . 51 -INF 0.052 +INF . 52 -INF 0.286 +INF . 53 -INF 0.397 +INF . 54 -INF 0.466 +INF . 55 -INF -2.365 +INF . 56 -INF -0.504 +INF . 57 -INF -2.081 +INF . 58 -INF -0.251 +INF . 59 -INF -0.580 +INF . 60 -INF -1.687 +INF . LOWER LEVEL UPPER MARGINAL ---- VAR UTILITY -INF 1.5016E+5 +INF . **** REPORT SUMMARY : 0 NONOPT 0 INFEASIBLE 0 UNBOUNDED 0 ERRORS GAMS Rev 237 LEX-LEG 23.7.1 x86_64/Linux 09/14/11 00:04:35 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/2429418/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/2429418/MODEL.gms Output /scratch/neos/solver/jobs/2429418/solve.out NEOS Server