Cap Model | input values | solver | original scenario global path: | 3 | choosen scenario global path: | 3 |
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EPM | cap model; based on: Chakravartya et al. / Sharing global
CO2 emission reductions among one billion high emitters / 11884–11888 PNAS July 21, 2009 vol. 106 no. 29 / doi 10.1073 pnas.0905232106 |
Description | ||||||||||||||||||||||||||||||||||||||||||||||||||||
source data: | http://data.worldbank.org/indicator/SI.DST.04TH.20/countries?display=default | Chakravarty et al. insinuate that the income and emissions distribution correlated. Each person is attributed his emissions or a cap, whatever is the least. The cap is calculated for each year such that the emissions of the global pathway are met. | ||||||||||||||||||||||||||||||||||||||||||||||||||||
Country A | Country B | Country C | ||||||||||||||||||||||||||||||||||||||||||||||||||||
Data of the probability density functions | Data of the probability density functions | Data of the probability density functions |
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If you change the quantile values of countries, you have to do the following optimization with the help of the | ||||||||||||||||||||||||||||||||||||||||||||||||||||||
G income | G emissions | G income | G emissions | G income | G emissions | - For each country: minimize the target value by adjusting the parameter a (variable) | ||||||||||||||||||||||||||||||||||||||||||||||||
a | 1.57 | 1.57 | a | 0.78 | 0.78 | a | 2.79 | 2.79 | - Redefine caps for each year. Target = 0 by adjusting the caps of the individual years (variables). | |||||||||||||||||||||||||||||||||||||||||||||
b | 34,866.14 | 11.17 | b | 15,014.72 | 6.24 | b | 153.43 | 0.26 | ||||||||||||||||||||||||||||||||||||||||||||||
E | 54,625 | 17.50 | E | 11,727 | 4.88 | E | 427 | 0.72 | Limitations | |||||||||||||||||||||||||||||||||||||||||||||
- The per capita emissions converge far into the future. So is it comparable with the models with converging per capita emissions upto 2050 to a limited extent only. | ||||||||||||||||||||||||||||||||||||||||||||||||||||||
Data of the Lorenz curve | Data of the Lorenz curve | Data of the Lorenz curve | - Actual correlation between emission and income distribution? | |||||||||||||||||||||||||||||||||||||||||||||||||||
≈ USA | ≈ Brazil | ≈ Niger | Global | Country A | Country B | Country C | Global | |||||||||||||||||||||||||||||||||||||||||||||||
population share |
income share |
quantiles | squares | population share |
emission share |
population share |
income share |
quantiles | squares | population share |
emission share |
population share |
income share |
quantiles | squares | population share |
emission share |
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0.00 | 0.000 | 0.00 | 0.000 | 0.00 | 0.000 | 0.00 | 0.000 | 0.00 | 0.000 | 0.00 | 0.000 | Year t |
Popu-lation Pt |
Et | Per capita | Cap | Per capita | Popu-lation Pit |
Eit | Per capita | Popu-lation Pit |
Eit | Per capita | Popu-lation Pit |
Eit | Et | square | |||||||||||||||||||||||||||
0.05 | 0.004 | 0.05 | 0.004 | 0.05 | 0.001 | 0.05 | 0.001 | 0.05 | 0.009 | 0.05 | 0.009 | bn | Gt | t | t | bn | Gt | t | bn | Gt | t | bn | Gt | Gt | ||||||||||||||||||||||||||||||
0.10 | 0.012 | 0.017 | 2.42E-05 | 0.10 | 0.012 | 0.10 | 0.003 | 0.010 | 5.30E-05 | 0.10 | 0.003 | 0.10 | 0.024 | 0.0380 | 1.90E-04 | 0.10 | 0.024 | 2019 | 6.9 | 41.7 | 6.05 | 17.50 | 1.2 | 21.0 | 4.88 | 4.0 | 19.5 | 0.72 | 1.7 | 1.2 | 41.7 | |||||||||||||||||||||||
0.15 | 0.024 | 0.15 | 0.024 | 0.15 | 0.007 | 0.15 | 0.007 | 0.15 | 0.044 | 0.15 | 0.044 | 2020 | 6.9 | 40.9 | 5.93 | 43.64 | 16.81 | 1.2 | 20.2 | 4.87 | 4.0 | 19.5 | 0.72 | 1.7 | 1.2 | 40.9 | 0.00 | |||||||||||||||||||||||||||
0.20 | 0.040 | 0.051 | 1.26E-04 | 0.20 | 0.040 | 0.20 | 0.014 | 0.033 | 3.78E-04 | 0.20 | 0.014 | 0.20 | 0.067 | 0.0890 | 5.00E-04 | 0.20 | 0.067 | 2021 | 6.9 | 39.9 | 5.79 | 34.35 | 16.06 | 1.2 | 19.3 | 4.86 | 4.0 | 19.4 | 0.72 | 1.7 | 1.2 | 39.9 | 0.00 | |||||||||||||||||||||
0.25 | 0.059 | 0.25 | 0.059 | 0.25 | 0.023 | 0.25 | 0.023 | 0.25 | 0.093 | 0.25 | 0.093 | 2022 | 6.9 | 38.9 | 5.63 | 28.67 | 15.25 | 1.2 | 18.3 | 4.84 | 4.0 | 19.4 | 0.72 | 1.7 | 1.2 | 38.9 | 0.00 | |||||||||||||||||||||||||||
0.30 | 0.081 | 0.30 | 0.081 | 0.30 | 0.035 | 0.30 | 0.035 | 0.30 | 0.123 | 0.30 | 0.123 | 2023 | 6.9 | 37.7 | 5.47 | 24.54 | 14.39 | 1.2 | 17.3 | 4.80 | 4.0 | 19.2 | 0.72 | 1.7 | 1.2 | 37.7 | 0.00 | |||||||||||||||||||||||||||
0.35 | 0.108 | 0.35 | 0.108 | 0.35 | 0.051 | 0.35 | 0.051 | 0.35 | 0.155 | 0.35 | 0.155 | 2024 | 6.9 | 36.5 | 5.29 | 21.30 | 13.52 | 1.2 | 16.2 | 4.75 | 4.0 | 19.0 | 0.72 | 1.7 | 1.2 | 36.5 | 0.00 | |||||||||||||||||||||||||||
0.40 | 0.137 | 0.154 | 2.78E-04 | 0.40 | 0.137 | 0.40 | 0.071 | 0.109 | 1.48E-03 | 0.40 | 0.071 | 0.40 | 0.191 | 0.2160 | 6.16E-04 | 0.40 | 0.191 | 2025 | 6.9 | 35.1 | 5.09 | 18.64 | 12.64 | 1.2 | 15.2 | 4.69 | 4.0 | 18.7 | 0.72 | 1.7 | 1.2 | 35.1 | 0.00 | |||||||||||||||||||||
0.45 | 0.171 | 0.45 | 0.171 | 0.45 | 0.094 | 0.45 | 0.094 | 0.45 | 0.230 | 0.45 | 0.230 | 2026 | 6.9 | 33.7 | 4.89 | 16.41 | 11.76 | 1.2 | 14.1 | 4.60 | 4.0 | 18.4 | 0.72 | 1.7 | 1.2 | 33.7 | 0.00 | |||||||||||||||||||||||||||
0.50 | 0.209 | 0.50 | 0.209 | 0.50 | 0.123 | 0.50 | 0.123 | 0.50 | 0.273 | 0.50 | 0.273 | 2027 | 6.9 | 32.3 | 4.68 | 14.51 | 10.90 | 1.2 | 13.1 | 4.50 | 4.0 | 18.0 | 0.72 | 1.7 | 1.2 | 32.3 | 0.00 | |||||||||||||||||||||||||||
0.55 | 0.251 | 0.55 | 0.251 | 0.55 | 0.156 | 0.55 | 0.156 | 0.55 | 0.319 | 0.55 | 0.319 | 2028 | 6.9 | 30.8 | 4.46 | 12.86 | 10.06 | 1.2 | 12.1 | 4.38 | 4.0 | 17.5 | 0.72 | 1.7 | 1.2 | 30.8 | 0.00 | |||||||||||||||||||||||||||
0.60 | 0.298 | 0.308 | 1.08E-04 | 0.60 | 0.298 | 0.60 | 0.196 | 0.233 | 1.37E-03 | 0.60 | 0.196 | 0.60 | 0.368 | 0.3780 | 9.36E-05 | 0.60 | 0.368 | 2029 | 6.9 | 29.3 | 4.24 | 11.42 | 9.26 | 1.2 | 11.1 | 4.24 | 4.0 | 16.9 | 0.72 | 1.7 | 1.2 | 29.3 | 0.00 | |||||||||||||||||||||
0.65 | 0.350 | 0.65 | 0.350 | 0.65 | 0.242 | 0.65 | 0.242 | 0.65 | 0.422 | 0.65 | 0.422 | 2030 | 6.9 | 27.7 | 4.02 | 10.16 | 8.48 | 1.2 | 10.2 | 4.08 | 4.0 | 16.3 | 0.72 | 1.7 | 1.2 | 27.7 | 0.00 | |||||||||||||||||||||||||||
0.70 | 0.408 | 0.70 | 0.408 | 0.70 | 0.297 | 0.70 | 0.297 | 0.70 | 0.480 | 0.70 | 0.480 | 2031 | 6.9 | 26.2 | 3.79 | 9.04 | 7.75 | 1.2 | 9.3 | 3.91 | 4.0 | 15.7 | 0.72 | 1.7 | 1.2 | 26.2 | 0.00 | |||||||||||||||||||||||||||
0.75 | 0.472 | 0.75 | 0.472 | 0.75 | 0.361 | 0.75 | 0.361 | 0.75 | 0.543 | 0.75 | 0.543 | 2032 | 6.9 | 24.6 | 3.57 | 8.04 | 7.05 | 1.2 | 8.5 | 3.73 | 4.0 | 14.9 | 0.72 | 1.7 | 1.2 | 24.6 | 0.00 | |||||||||||||||||||||||||||
0.80 | 0.545 | 0.536 | 7.61E-05 | 0.80 | 0.545 | 0.80 | 0.436 | 0.426 | 9.60E-05 | 0.80 | 0.436 | 0.80 | 0.612 | 0.5920 | 3.91E-04 | 0.80 | 0.612 | 2033 | 6.9 | 23.1 | 3.34 | 7.16 | 6.40 | 1.2 | 7.7 | 3.54 | 4.0 | 14.2 | 0.72 | 1.7 | 1.2 | 23.1 | 0.00 | |||||||||||||||||||||
0.85 | 0.627 | 0.85 | 0.627 | 0.85 | 0.526 | 0.85 | 0.526 | 0.85 | 0.687 | 0.85 | 0.687 | 2034 | 6.9 | 21.6 | 3.12 | 6.37 | 5.79 | 1.2 | 6.9 | 3.35 | 4.0 | 13.4 | 0.72 | 1.7 | 1.2 | 21.6 | 0.00 | |||||||||||||||||||||||||||
0.90 | 0.722 | 0.698 | 5.75E-04 | 0.90 | 0.722 | 0.90 | 0.635 | 0.582 | 2.82E-03 | 0.90 | 0.635 | 0.90 | 0.772 | 0.7360 | 1.30E-03 | 0.90 | 0.772 | 2035 | 6.9 | 20.1 | 2.91 | 5.66 | 5.22 | 1.2 | 6.3 | 3.14 | 4.0 | 12.6 | 0.72 | 1.7 | 1.2 | 20.1 | 0.00 | |||||||||||||||||||||
0.95 | 0.836 | 0.95 | 0.836 | 0.95 | 0.776 | 0.95 | 0.776 | 0.95 | 0.870 | 0.95 | 0.870 | 2036 | 6.9 | 18.6 | 2.70 | 5.02 | 4.69 | 1.2 | 5.6 | 2.94 | 4.0 | 11.8 | 0.72 | 1.7 | 1.2 | 18.6 | 0.00 | |||||||||||||||||||||||||||
1.00 | 1.000 | 1.00 | 1.000 | 1.00 | 1.000 | 1.00 | 1.000 | 1.00 | 1.000 | 1.00 | 1.000 | 2037 | 6.9 | 17.2 | 2.49 | 4.45 | 4.20 | 1.2 | 5.0 | 2.73 | 4.0 | 10.9 | 0.72 | 1.7 | 1.2 | 17.2 | 0.00 | |||||||||||||||||||||||||||
target | 1.19E-03 | 0 | target | 6.19E-03 | target | 3.09E-03 | 2038 | 6.9 | 15.8 | 2.30 | 3.94 | 3.75 | 1.2 | 4.5 | 2.53 | 4.0 | 10.1 | 0.72 | 1.7 | 1.2 | 15.8 | 0.00 | ||||||||||||||||||||||||||||||||
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2039 | 6.9 | 14.5 | 2.11 | 3.47 | 3.34 | 1.2 | 4.0 | 2.33 | 4.0 | 9.3 | 0.72 | 1.7 | 1.2 | 14.5 | 0.00 | ||||||||||||||||||||||||||||||||||||||
2040 | 6.9 | 13.3 | 1.93 | 3.06 | 2.96 | 1.2 | 3.6 | 2.13 | 4.0 | 8.5 | 0.72 | 1.7 | 1.2 | 13.3 | 0.00 | |||||||||||||||||||||||||||||||||||||||
2041 | 6.9 | 12.1 | 1.76 | 2.69 | 2.61 | 1.2 | 3.1 | 1.94 | 4.0 | 7.7 | 0.72 | 1.7 | 1.2 | 12.1 | 0.00 | |||||||||||||||||||||||||||||||||||||||
2042 | 6.9 | 11.0 | 1.59 | 2.35 | 2.30 | 1.2 | 2.8 | 1.75 | 4.0 | 7.0 | 0.72 | 1.7 | 1.2 | 11.0 | 0.00 | |||||||||||||||||||||||||||||||||||||||
2043 | 6.9 | 9.9 | 1.44 | 2.05 | 2.02 | 1.2 | 2.4 | 1.58 | 4.0 | 6.3 | 0.72 | 1.7 | 1.2 | 9.9 | 0.00 | |||||||||||||||||||||||||||||||||||||||
2044 | 6.9 | 9.0 | 1.30 | 1.79 | 1.76 | 1.2 | 2.1 | 1.41 | 4.0 | 5.6 | 0.71 | 1.7 | 1.2 | 9.0 | 0.00 | |||||||||||||||||||||||||||||||||||||||
2045 | 6.9 | 8.0 | 1.17 | 1.55 | 1.53 | 1.2 | 1.8 | 1.25 | 4.0 | 5.0 | 0.71 | 1.7 | 1.2 | 8.0 | 0.00 | |||||||||||||||||||||||||||||||||||||||
2046 | 6.9 | 7.2 | 1.04 | 1.34 | 1.33 | 1.2 | 1.6 | 1.11 | 4.0 | 4.4 | 0.69 | 1.7 | 1.2 | 7.2 | 0.00 | |||||||||||||||||||||||||||||||||||||||
2047 | 6.9 | 6.4 | 0.93 | 1.15 | 1.15 | 1.2 | 1.4 | 0.98 | 4.0 | 3.9 | 0.67 | 1.7 | 1.1 | 6.4 | 0.00 | |||||||||||||||||||||||||||||||||||||||
2048 | 6.9 | 5.7 | 0.83 | 0.99 | 0.99 | 1.2 | 1.2 | 0.86 | 4.0 | 3.4 | 0.64 | 1.7 | 1.1 | 5.7 | 0.00 | |||||||||||||||||||||||||||||||||||||||
2049 | 6.9 | 5.0 | 0.73 | 0.86 | 0.85 | 1.2 | 1.0 | 0.75 | 4.0 | 3.0 | 0.60 | 1.7 | 1.0 | 5.0 | 0.00 | |||||||||||||||||||||||||||||||||||||||
2050 | 6.9 | 4.4 | 0.64 | 0.74 | 0.73 | 1.2 | 0.9 | 0.65 | 4.0 | 2.6 | 0.56 | 1.7 | 1.0 | 4.4 | 0.00 | |||||||||||||||||||||||||||||||||||||||
2051 | 6.9 | 3.9 | 0.57 | 0.63 | 0.63 | 1.2 | 0.8 | 0.57 | 4.0 | 2.3 | 0.51 | 1.7 | 0.9 | 3.9 | 0.00 | |||||||||||||||||||||||||||||||||||||||
2052 | 6.9 | 3.4 | 0.50 | 0.54 | 0.54 | 1.2 | 0.6 | 0.49 | 4.0 | 2.0 | 0.46 | 1.7 | 0.8 | 3.4 | 0.00 | |||||||||||||||||||||||||||||||||||||||
2053 | 6.9 | 3.0 | 0.43 | 0.47 | 0.46 | 1.2 | 0.6 | 0.43 | 4.0 | 1.7 | 0.41 | 1.7 | 0.7 | 3.0 | 0.00 | |||||||||||||||||||||||||||||||||||||||
2054 | 6.9 | 2.6 | 0.37 | 0.40 | 0.40 | 1.2 | 0.5 | 0.37 | 4.0 | 1.5 | 0.37 | 1.7 | 0.6 | 2.6 | 0.00 | |||||||||||||||||||||||||||||||||||||||
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2055 | 6.9 | 2.2 | 0.32 | 0.34 | 0.34 | 1.2 | 0.4 | 0.32 | 4.0 | 1.3 | 0.32 | 1.7 | 0.5 | 2.2 | 0.00 | ||||||||||||||||||||||||||||||||||||||
2056 | 6.9 | 1.9 | 0.28 | 0.29 | 0.29 | 1.2 | 0.4 | 0.28 | 4.0 | 1.1 | 0.28 | 1.7 | 0.5 | 1.9 | 0.00 | |||||||||||||||||||||||||||||||||||||||
2057 | 6.9 | 1.7 | 0.24 | 0.25 | 0.25 | 1.2 | 0.3 | 0.24 | 4.0 | 0.9 | 0.24 | 1.7 | 0.4 | 1.7 | 0.00 | |||||||||||||||||||||||||||||||||||||||
2058 | 6.9 | 1.4 | 0.21 | 0.21 | 0.21 | 1.2 | 0.3 | 0.20 | 4.0 | 0.8 | 0.21 | 1.7 | 0.4 | 1.4 | 0.00 | |||||||||||||||||||||||||||||||||||||||
2059 | 6.9 | 1.2 | 0.17 | 0.18 | 0.18 | 1.2 | 0.2 | 0.17 | 4.0 | 0.7 | 0.18 | 1.7 | 0.3 | 1.2 | 0.00 | |||||||||||||||||||||||||||||||||||||||
2060 | 6.9 | 1.0 | 0.15 | 0.15 | 0.15 | 1.2 | 0.2 | 0.15 | 4.0 | 0.6 | 0.15 | 1.7 | 0.3 | 1.0 | 0.00 | |||||||||||||||||||||||||||||||||||||||
2061 | 6.9 | 0.9 | 0.13 | 0.13 | 0.13 | 1.2 | 0.2 | 0.12 | 4.0 | 0.5 | 0.13 | 1.7 | 0.2 | 0.9 | 0.00 | |||||||||||||||||||||||||||||||||||||||
2062 | 6.9 | 0.7 | 0.11 | 0.11 | 0.11 | 1.2 | 0.1 | 0.10 | 4.0 | 0.4 | 0.11 | 1.7 | 0.2 | 0.7 | 0.00 | |||||||||||||||||||||||||||||||||||||||
2063 | 6.9 | 0.6 | 0.09 | 0.09 | 0.09 | 1.2 | 0.1 | 0.09 | 4.0 | 0.4 | 0.09 | 1.7 | 0.2 | 0.6 | 0.00 | |||||||||||||||||||||||||||||||||||||||
2064 | 6.9 | 0.5 | 0.07 | 0.08 | 0.08 | 1.2 | 0.1 | 0.07 | 4.0 | 0.3 | 0.08 | 1.7 | 0.1 | 0.5 | 0.00 | |||||||||||||||||||||||||||||||||||||||
2065 | 6.9 | 0.4 | 0.06 | 0.06 | 0.06 | 1.2 | 0.1 | 0.06 | 4.0 | 0.2 | 0.06 | 1.7 | 0.1 | 0.4 | 0.00 | |||||||||||||||||||||||||||||||||||||||
2066 | 6.9 | 0.4 | 0.05 | 0.05 | 0.05 | 1.2 | 0.1 | 0.05 | 4.0 | 0.2 | 0.05 | 1.7 | 0.1 | 0.4 | 0.00 | |||||||||||||||||||||||||||||||||||||||
2067 | 6.9 | 0.3 | 0.04 | 0.04 | 0.04 | 1.2 | 0.1 | 0.04 | 4.0 | 0.2 | 0.04 | 1.7 | 0.1 | 0.3 | 0.00 | |||||||||||||||||||||||||||||||||||||||
2068 | 6.9 | 0.2 | 0.03 | 0.04 | 0.04 | 1.2 | 0.0 | 0.04 | 4.0 | 0.1 | 0.04 | 1.7 | 0.1 | 0.2 | 0.00 | |||||||||||||||||||||||||||||||||||||||
2069 | 6.9 | 0.2 | 0.03 | 0.03 | 0.03 | 1.2 | 0.0 | 0.03 | 4.0 | 0.1 | 0.03 | 1.7 | 0.0 | 0.2 | 0.00 | |||||||||||||||||||||||||||||||||||||||
2070 | 6.9 | 0.2 | 0.02 | 0.02 | 0.02 | 1.2 | 0.0 | 0.02 | 4.0 | 0.1 | 0.02 | 1.7 | 0.0 | 0.2 | 0.00 | |||||||||||||||||||||||||||||||||||||||
2071 | 6.9 | 0.1 | 0.02 | 0.02 | 0.02 | 1.2 | 0.0 | 0.02 | 4.0 | 0.1 | 0.02 | 1.7 | 0.0 | 0.1 | 0.00 | |||||||||||||||||||||||||||||||||||||||
2072 | 6.9 | 0.1 | 0.02 | 0.02 | 0.02 | 1.2 | 0.0 | 0.02 | 4.0 | 0.1 | 0.02 | 1.7 | 0.0 | 0.1 | 0.00 | |||||||||||||||||||||||||||||||||||||||
2073 | 6.9 | 0.1 | 0.01 | 0.01 | 0.01 | 1.2 | 0.0 | 0.01 | 4.0 | 0.0 | 0.01 | 1.7 | 0.0 | 0.1 | 0.00 | |||||||||||||||||||||||||||||||||||||||
2074 | 6.9 | 0.1 | 0.01 | 0.01 | 0.01 | 1.2 | 0.0 | 0.01 | 4.0 | 0.0 | 0.01 | 1.7 | 0.0 | 0.1 | 0.00 | |||||||||||||||||||||||||||||||||||||||
2075 | 6.9 | 0.0 | 0.01 | 0.01 | 0.01 | 1.2 | 0.0 | 0.01 | 4.0 | 0.0 | 0.01 | 1.7 | 0.0 | 0.0 | 0.00 | |||||||||||||||||||||||||||||||||||||||
2076 | 6.9 | 0.0 | 0.00 | 0.00 | 0.00 | 1.2 | 0.0 | 0.00 | 4.0 | 0.0 | 0.00 | 1.7 | 0.0 | 0.0 | 0.00 | |||||||||||||||||||||||||||||||||||||||
2077 | 6.9 | 0.0 | 0.00 | 0.00 | 0.00 | 1.2 | 0.0 | 0.00 | 4.0 | 0.0 | 0.00 | 1.7 | 0.0 | 0.0 | 0.00 | |||||||||||||||||||||||||||||||||||||||
2078 | 6.9 | 0.0 | 0.00 | 0.00 | 0.00 | 1.2 | 0.0 | 0.00 | 4.0 | 0.0 | 0.00 | 1.7 | 0.0 | 0.0 | 0.00 | |||||||||||||||||||||||||||||||||||||||
2079 | 6.9 | 0.0 | 0.00 | 0.00 | 0.00 | 1.2 | 0.0 | 0.00 | 4.0 | 0.0 | 0.00 | 1.7 | 0.0 | 0.0 | 0.00 | |||||||||||||||||||||||||||||||||||||||
2080 | 6.9 | 0.0 | 0.00 | 0.00 | 0.00 | 1.2 | 0.0 | 0.00 | 4.0 | 0.0 | 0.00 | 1.7 | 0.0 | 0.0 | 0.00 | |||||||||||||||||||||||||||||||||||||||
2081 | 6.9 | 0.0 | 0.00 | 0.00 | 0.00 | 1.2 | 0.0 | 0.00 | 4.0 | 0.0 | 0.00 | 1.7 | 0.0 | 0.0 | 0.00 | |||||||||||||||||||||||||||||||||||||||
2082 | 6.9 | 0.0 | 0.00 | 0.00 | 0.00 | 1.2 | 0.0 | 0.00 | 4.0 | 0.0 | 0.00 | 1.7 | 0.0 | 0.0 | 0.00 | |||||||||||||||||||||||||||||||||||||||
2083 | 6.9 | 0.0 | 0.00 | 0.00 | 0.00 | 1.2 | 0.0 | 0.00 | 4.0 | 0.0 | 0.00 | 1.7 | 0.0 | 0.0 | 0.00 | |||||||||||||||||||||||||||||||||||||||
2084 | 6.9 | 0.0 | 0.00 | 0.00 | 0.00 | 1.2 | 0.0 | 0.00 | 4.0 | 0.0 | 0.00 | 1.7 | 0.0 | 0.0 | 0.00 | |||||||||||||||||||||||||||||||||||||||
2085 | 6.9 | 0.0 | 0.00 | 0.00 | 0.00 | 1.2 | 0.0 | 0.00 | 4.0 | 0.0 | 0.00 | 1.7 | 0.0 | 0.0 | 0.00 | |||||||||||||||||||||||||||||||||||||||
Data of the probability density functions | Data of the probability density functions | Data of the probability density functions | 2086 | 6.9 | 0.0 | 0.00 | 0.00 | 0.00 | 1.2 | 0.0 | 0.00 | 4.0 | 0.0 | 0.00 | 1.7 | 0.0 | 0.0 | 0.00 | ||||||||||||||||||||||||||||||||||||
2087 | 6.9 | 0.0 | 0.00 | 0.00 | 0.00 | 1.2 | 0.0 | 0.00 | 4.0 | 0.0 | 0.00 | 1.7 | 0.0 | 0.0 | 0.00 | |||||||||||||||||||||||||||||||||||||||
income | probability | cumulative | emissions | probability | cumulative | income | probability | cumulative | emissions | probability | cumulative | income | probability | cumulative | emissions | probability | cumulative | 2088 | 6.9 | 0.0 | 0.00 | 0.00 | 0.00 | 1.2 | 0.0 | 0.00 | 4.0 | 0.0 | 0.00 | 1.7 | 0.0 | 0.0 | 0.00 | |||||||||||||||||||||
0 | 0.00E+00 | 0.00 | 0 | 0.00E+00 | 0.00 | 0 | 0.00E+00 | 0.00 | 0 | 0.00E+00 | 0.00 | 0 | 0.00E+00 | 0.00 | 0 | 0.00E+00 | 0.00 | 2089 | 6.9 | 0.0 | 0.00 | 0.00 | 0.00 | 1.2 | 0.0 | 0.00 | 4.0 | 0.0 | 0.00 | 1.7 | 0.0 | 0.0 | 0.00 | |||||||||||||||||||||
5,463 | 9.64E-06 | 0.04 | 2 | 3.01E-02 | 0.04 | 1,173 | 9.08E-05 | 0.14 | 0 | 2.18E-01 | 0.14 | 43 | 3.04E-04 | 0.01 | 0 | 1.80E-01 | 0.01 | 2090 | 6.9 | 0.0 | 0.00 | 0.00 | 0.00 | 1.2 | 0.0 | 0.00 | 4.0 | 0.0 | 0.00 | 1.7 | 0.0 | 0.0 | 0.00 | |||||||||||||||||||||
10,925 | 1.22E-05 | 0.10 | 4 | 3.81E-02 | 0.10 | 2,345 | 7.21E-05 | 0.24 | 1 | 1.73E-01 | 0.24 | 85 | 7.93E-04 | 0.03 | 0 | 4.69E-01 | 0.03 | 2091 | 6.9 | 0.0 | 0.00 | 0.00 | 0.00 | 1.2 | 0.0 | 0.00 | 4.0 | 0.0 | 0.00 | 1.7 | 0.0 | 0.0 | 0.00 | |||||||||||||||||||||
16,388 | 1.31E-05 | 0.17 | 5 | 4.10E-02 | 0.17 | 3,518 | 6.10E-05 | 0.31 | 1 | 1.47E-01 | 0.31 | 128 | 1.24E-03 | 0.07 | 0 | 7.33E-01 | 0.07 | 2092 | 6.9 | 0.0 | 0.00 | 0.00 | 0.00 | 1.2 | 0.0 | 0.00 | 4.0 | 0.0 | 0.00 | 1.7 | 0.0 | 0.0 | 0.00 | |||||||||||||||||||||
21,850 | 1.32E-05 | 0.24 | 7 | 4.12E-02 | 0.24 | 4,691 | 5.30E-05 | 0.38 | 2 | 1.27E-01 | 0.38 | 171 | 1.57E-03 | 0.13 | 0 | 9.27E-01 | 0.13 | 2093 | 6.9 | 0.0 | 0.00 | 0.00 | 0.00 | 1.2 | 0.0 | 0.00 | 4.0 | 0.0 | 0.00 | 1.7 | 0.0 | 0.0 | 0.00 | |||||||||||||||||||||
27,313 | 1.28E-05 | 0.31 | 9 | 4.00E-02 | 0.31 | 5,863 | 4.67E-05 | 0.44 | 2 | 1.12E-01 | 0.44 | 214 | 1.77E-03 | 0.20 | 0 | 1.05E+00 | 0.20 | 2094 | 6.9 | 0.0 | 0.00 | 0.00 | 0.00 | 1.2 | 0.0 | 0.00 | 4.0 | 0.0 | 0.00 | 1.7 | 0.0 | 0.0 | 0.00 | |||||||||||||||||||||
32,775 | 1.22E-05 | 0.38 | 11 | 3.79E-02 | 0.38 | 7,036 | 4.15E-05 | 0.49 | 3 | 9.98E-02 | 0.49 | 256 | 1.85E-03 | 0.28 | 0 | 1.10E+00 | 0.28 | 2095 | 6.9 | 0.0 | 0.00 | 0.00 | 0.00 | 1.2 | 0.0 | 0.00 | 4.0 | 0.0 | 0.00 | 1.7 | 0.0 | 0.0 | 0.00 | |||||||||||||||||||||
38,238 | 1.13E-05 | 0.44 | 12 | 3.54E-02 | 0.44 | 8,209 | 3.71E-05 | 0.54 | 3 | 8.92E-02 | 0.54 | 299 | 1.84E-03 | 0.36 | 1 | 1.09E+00 | 0.36 | 2096 | 6.9 | 0.0 | 0.00 | 0.00 | 0.00 | 1.2 | 0.0 | 0.00 | 4.0 | 0.0 | 0.00 | 1.7 | 0.0 | 0.0 | 0.00 | |||||||||||||||||||||
43,700 | 1.05E-05 | 0.50 | 14 | 3.26E-02 | 0.50 | 9,381 | 3.33E-05 | 0.58 | 4 | 8.01E-02 | 0.58 | 342 | 1.77E-03 | 0.44 | 1 | 1.05E+00 | 0.44 | 2097 | 6.9 | 0.0 | 0.00 | 0.00 | 0.00 | 1.2 | 0.0 | 0.00 | 4.0 | 0.0 | 0.00 | 1.7 | 0.0 | 0.0 | 0.00 | |||||||||||||||||||||
49,163 | 9.56E-06 | 0.56 | 16 | 2.98E-02 | 0.56 | 10,554 | 3.00E-05 | 0.62 | 4 | 7.22E-02 | 0.62 | 385 | 1.66E-03 | 0.51 | 1 | 9.80E-01 | 0.51 | 2098 | 6.9 | 0.0 | 0.00 | 0.00 | 0.00 | 1.2 | 0.0 | 0.00 | 4.0 | 0.0 | 0.00 | 1.7 | 0.0 | 0.0 | 0.00 | |||||||||||||||||||||
54,625 | 8.67E-06 | 0.61 | 18 | 2.71E-02 | 0.61 | 11,727 | 2.71E-05 | 0.65 | 5 | 6.53E-02 | 0.65 | 427 | 1.51E-03 | 0.58 | 1 | 8.95E-01 | 0.58 | 2099 | 6.9 | 0.0 | 0.00 | 0.00 | 0.00 | 1.2 | 0.0 | 0.00 | 4.0 | 0.0 | 0.00 | 1.7 | 0.0 | 0.0 | 0.00 | |||||||||||||||||||||
60,088 | 7.83E-06 | 0.65 | 19 | 2.44E-02 | 0.65 | 12,899 | 2.46E-05 | 0.68 | 5 | 5.91E-02 | 0.68 | 470 | 1.36E-03 | 0.64 | 1 | 8.03E-01 | 0.64 | 2100 | 6.9 | 0.0 | 0.00 | 0.00 | 0.00 | 1.2 | 0.0 | 0.00 | 4.0 | 0.0 | 0.00 | 1.7 | 0.0 | 0.0 | 0.00 | |||||||||||||||||||||
65,550 | 7.03E-06 | 0.69 | 21 | 2.19E-02 | 0.69 | 14,072 | 2.23E-05 | 0.71 | 6 | 5.37E-02 | 0.71 | 513 | 1.20E-03 | 0.70 | 1 | 7.10E-01 | 0.70 | ∑ | 684 | 252 | 389 | 44 | target | 0.00 | ||||||||||||||||||||||||||||||
71,013 | 6.29E-06 | 0.73 | 23 | 1.96E-02 | 0.73 | 15,245 | 2.03E-05 | 0.73 | 6 | 4.88E-02 | 0.73 | 556 | 1.05E-03 | 0.74 | 1 | 6.20E-01 | 0.74 | |||||||||||||||||||||||||||||||||||||
76,475 | 5.61E-06 | 0.76 | 25 | 1.75E-02 | 0.76 | 16,418 | 1.84E-05 | 0.75 | 7 | 4.44E-02 | 0.75 | 598 | 9.05E-04 | 0.79 | 1 | 5.36E-01 | 0.79 | global path: | 3 | |||||||||||||||||||||||||||||||||||
81,938 | 4.99E-06 | 0.79 | 26 | 1.56E-02 | 0.79 | 17,590 | 1.68E-05 | 0.77 | 7 | 4.04E-02 | 0.77 | 641 | 7.75E-04 | 0.82 | 1 | 4.59E-01 | 0.82 | 2 | 270 | 380 | 36 | 685 | EPM | |||||||||||||||||||||||||||||||
87,400 | 4.42E-06 | 0.82 | 28 | 1.38E-02 | 0.82 | 18,763 | 1.53E-05 | 0.79 | 8 | 3.69E-02 | 0.79 | 684 | 6.58E-04 | 0.85 | 1 | 3.89E-01 | 0.85 | 1 | 221 | 405 | 58 | 684 | EPM | |||||||||||||||||||||||||||||||
92,863 | 3.91E-06 | 0.84 | 30 | 1.22E-02 | 0.84 | 19,936 | 1.40E-05 | 0.81 | 8 | 3.36E-02 | 0.81 | 727 | 5.55E-04 | 0.88 | 1 | 3.28E-01 | 0.88 | 3 | 252 | 389 | 44 | 684 | EPM | |||||||||||||||||||||||||||||||
98,325 | 3.46E-06 | 0.86 | 32 | 1.08E-02 | 0.86 | 21,108 | 1.28E-05 | 0.83 | 9 | 3.07E-02 | 0.83 | 769 | 4.65E-04 | 0.90 | 1 | 2.75E-01 | 0.90 | 6 | 252 | 385 | 47 | 684 | EPM | |||||||||||||||||||||||||||||||
103,788 | 3.05E-06 | 0.88 | 33 | 9.51E-03 | 0.88 | 22,281 | 1.17E-05 | 0.84 | 9 | 2.81E-02 | 0.84 | 812 | 3.88E-04 | 0.92 | 1 | 2.29E-01 | 0.92 | |||||||||||||||||||||||||||||||||||||
109,251 | 2.68E-06 | 0.89 | 35 | 8.37E-03 | 0.89 | 23,454 | 1.07E-05 | 0.85 | 10 | 2.57E-02 | 0.85 | 855 | 3.22E-04 | 0.93 | 1 | 1.90E-01 | 0.93 | 2 | 318 | 328 | 37 | 11% | share population key | solver | ||||||||||||||||||||||||||||||
114,713 | 2.36E-06 | 0.91 | 37 | 7.36E-03 | 0.91 | 24,626 | 9.77E-06 | 0.87 | 10 | 2.35E-02 | 0.87 | 898 | 2.66E-04 | 0.95 | 2 | 1.57E-01 | 0.95 | 1 | 276 | 343 | 65 | 30% | share population key | solver | ||||||||||||||||||||||||||||||
120,176 | 2.07E-06 | 0.92 | 39 | 6.46E-03 | 0.92 | 25,799 | 8.95E-06 | 0.88 | 11 | 2.15E-02 | 0.88 | 940 | 2.18E-04 | 0.96 | 2 | 1.29E-01 | 0.96 | 3 | 304 | 333 | 47 | 18% | share population key | solver | ||||||||||||||||||||||||||||||
125,638 | 1.81E-06 | 0.93 | 40 | 5.66E-03 | 0.93 | 26,972 | 8.19E-06 | 0.89 | 11 | 1.97E-02 | 0.89 | 983 | 1.79E-04 | 0.96 | 2 | 1.06E-01 | 0.96 | 6 | 298 | 335 | 50 | 20% | share population key | solver | ||||||||||||||||||||||||||||||
131,101 | 1.59E-06 | 0.94 | 42 | 4.96E-03 | 0.94 | 28,144 | 7.51E-06 | 0.90 | 12 | 1.81E-02 | 0.90 | 1,026 | 1.46E-04 | 0.97 | 2 | 8.65E-02 | 0.97 | |||||||||||||||||||||||||||||||||||||
136,563 | 1.39E-06 | 0.95 | 44 | 4.34E-03 | 0.95 | 29,317 | 6.88E-06 | 0.90 | 12 | 1.66E-02 | 0.90 | 1,069 | 1.19E-04 | 0.98 | 2 | 7.04E-02 | 0.98 | 2 | 0.03 | 0.02 | 0.00 | 0.05 | square deviation | |||||||||||||||||||||||||||||||
142,026 | 1.22E-06 | 0.95 | 46 | 3.79E-03 | 0.95 | 30,490 | 6.31E-06 | 0.91 | 13 | 1.52E-02 | 0.91 | 1,111 | 9.66E-05 | 0.98 | 2 | 5.72E-02 | 0.98 | 1 | 0.06 | 0.02 | 0.01 | 0.10 | square deviation | |||||||||||||||||||||||||||||||
147,488 | 1.06E-06 | 0.96 | 47 | 3.31E-03 | 0.96 | 31,662 | 5.79E-06 | 0.92 | 13 | 1.39E-02 | 0.92 | 1,154 | 7.82E-05 | 0.98 | 2 | 4.63E-02 | 0.98 | 6 | 0.04 | 0.02 | 0.00 | 0.07 | square deviation | |||||||||||||||||||||||||||||||
152,951 | 9.27E-07 | 0.96 | 49 | 2.89E-03 | 0.96 | 32,835 | 5.31E-06 | 0.93 | 14 | 1.28E-02 | 0.93 | 1,197 | 6.31E-05 | 0.99 | 2 | 3.74E-02 | 0.99 | 0 | 0.03 | 0.02 | 0.00 | 0.05 | square deviation | |||||||||||||||||||||||||||||||
158,413 | 8.08E-07 | 0.97 | 51 | 2.52E-03 | 0.97 | 34,008 | 4.87E-06 | 0.93 | 14 | 1.17E-02 | 0.93 | 1,240 | 5.09E-05 | 0.99 | 2 | 3.01E-02 | 0.99 | |||||||||||||||||||||||||||||||||||||
163,876 | 7.04E-07 | 0.97 | 53 | 2.20E-03 | 0.97 | 35,180 | 4.47E-06 | 0.94 | 15 | 1.08E-02 | 0.94 | 1,282 | 4.09E-05 | 0.99 | 2 | 2.42E-02 | 0.99 |