I R AA AJ AS
China → select a country global budget 500 Gt The global paths RM 1 - 6 keep the global budget 2020 - 2100. E_i_t RF: RM-1 const RF: RM-2 exp RF: RM-3 lin RF: RM-4 quadr RF: RM-5 rad RF: RM-6 abs RF: FI per capita RF: RM-1 const RF: RM-2 exp RF: RM-3 lin RF: RM-4 quadr RF: RM-5 rad RF: RM-6 abs RF: FI RR_i_t RF: RM-1 const RF: RM-2 exp RF: RM-3 lin RF: RM-4 quadr RF: RM-5 rad RF: RM-6 abs RF: FI
global per capita emissions 2019: 4.76 t 2019 2019 11,771.07 11,771.07 11,771.07 11,771.07 11,771.07 11,771.07 11,771.07 8.29 8.29 8.29 8.29 8.29 8.29 8.29      
  2020 11,948.12 11,948.12 11,948.12 11,948.12 11,948.12 11,948.12 11,948.12 8.41 8.41 8.41 8.41 8.41 8.41 8.41 2020 1.5% 1.5% 1.5% 1.5% 1.5% 1.5% 1.5%
scenario type conver-
gence
level		   2021 12,466.32 12,466.32 12,466.32 12,466.32 12,466.32 12,466.32 12,466.32 8.78 8.78 8.78 8.78 8.78 8.78 8.78 2021 4.3% 4.3% 4.3% 4.3% 4.3% 4.3% 4.3%
  2022 10,846.31 11,698.53 11,561.97 11,703.80 11,377.53 11,304.72 10,846.31 7.64 8.24 8.14 8.24 8.01 7.96 7.64 2022 -13.0% -6.2% -7.3% -6.1% -8.7% -9.3% -13.0%
  2023 9,968.47 11,575.39 11,246.38 11,572.73 10,871.57 10,811.93 9,968.47 7.02 8.15 7.92 8.15 7.66 7.61 7.02 2023 -8.1% -1.1% -2.7% -1.1% -4.4% -4.4% -8.1%
base data 0.50   2024 9,157.94 11,421.95 10,856.30 11,390.17 10,308.64 10,319.13 9,157.94 6.45 8.04 7.64 8.02 7.26 7.27 6.45 2024 -8.1% -1.3% -3.5% -1.6% -5.2% -4.6% -8.1%
RM-1 0.51 Depending on the global path the smallest value is sought which is greater than or the same as the convergence level set. This value then constitutes the convergence year of the global path. The convergence level in the case of the concrete global path will generally be somewhat higher than the value set.   2025 8,409.56 11,231.26 10,399.08 11,143.36 9,708.85 9,826.34 8,409.56 5.92 7.91 7.32 7.85 6.84 6.92 5.92 2025 -8.2% -1.7% -4.2% -2.2% -5.8% -4.8% -8.2%
RM-2 0.55   2026 7,718.55 10,995.06 9,883.25 10,821.37 9,087.50 9,333.55 7,718.55 5.44 7.74 6.96 7.62 6.40 6.57 5.44 2026 -8.2% -2.1% -5.0% -2.9% -6.4% -5.0% -8.2%
RM-3 0.56   2027 7,080.53 10,703.68 9,318.29 10,415.88 8,456.77 8,840.76 7,080.53 4.99 7.54 6.56 7.33 5.96 6.23 4.99 2027 -8.3% -2.7% -5.7% -3.7% -6.9% -5.3% -8.3%
RM-4 0.64   2028 6,491.44 10,346.14 8,714.33 9,921.91 7,826.49 8,347.96 6,491.44 4.57 7.29 6.14 6.99 5.51 5.88 4.57 2028 -8.3% -3.3% -6.5% -4.7% -7.5% -5.6% -8.3%
RM-5 0.55   2029 5,947.50 9,910.31 8,081.82 9,338.54 7,204.67 7,855.17 5,947.50 4.19 6.98 5.69 6.58 5.07 5.53 4.19 2029 -8.4% -4.2% -7.3% -5.9% -7.9% -5.9% -8.4%
RM-6 0.67 2030 2030 5,445.28 9,383.51 7,431.27 8,669.48 6,597.73 7,362.38 5,445.28 3.83 6.61 5.23 6.10 4.65 5.18 3.83 2030 -8.4% -5.3% -8.0% -7.2% -8.4% -6.3% -8.4%
  2031 4,981.56 8,753.56 6,772.92 7,923.39 6,010.78 6,869.59 4,981.56 3.51 6.16 4.77 5.58 4.23 4.84 3.51 2031 -8.5% -6.7% -8.9% -8.6% -8.9% -6.7% -8.5%
  2032 4,553.40 8,010.47 6,116.47 7,113.92 5,447.78 6,376.79 4,553.40 3.21 5.64 4.31 5.01 3.84 4.49 3.21 2032 -8.6% -8.5% -9.7% -10.2% -9.4% -7.2% -8.6%
  2033 4,158.07 7,149.11 5,470.88 6,259.19 4,911.69 5,884.00 4,158.07 2.93 5.03 3.85 4.41 3.46 4.14 2.93 2033 -8.7% -10.8% -10.6% -12.0% -9.8% -7.7% -8.7%
  2034 3,793.05 6,172.78 4,844.15 5,380.97 4,404.60 5,391.21 3,793.05 2.67 4.35 3.41 3.79 3.10 3.80 2.67 2034 -8.8% -13.7% -11.5% -14.0% -10.3% -8.4% -8.8%
  2035 3,456.01 5,097.71 4,243.16 4,503.28 3,927.86 4,898.42 3,456.01 2.43 3.59 2.99 3.17 2.77 3.45 2.43 2035 -8.9% -17.4% -12.4% -16.3% -10.8% -9.1% -8.9%
  2036 3,144.82 3,957.71 3,673.63 3,650.75 3,482.18 4,405.62 3,144.82 2.21 2.79 2.59 2.57 2.45 3.10 2.21 2036 -9.0% -22.4% -13.4% -18.9% -11.3% -10.1% -9.0%
  2037 2,857.49 2,807.24 3,140.03 2,846.70 3,067.73 3,912.83 2,857.49 2.01 1.98 2.21 2.00 2.16 2.76 2.01 2037 -9.1% -29.1% -14.5% -22.0% -11.9% -11.2% -9.1%
  2038 2,592.19 1,720.42 2,645.59 2,111.34 2,684.22 3,420.04 2,592.19 1.83 1.21 1.86 1.49 1.89 2.41 1.83 2038 -9.3% -38.7% -15.7% -25.8% -12.5% -12.6% -9.3%
  2039 2,347.23 781.92 2,192.35 1,460.15 2,330.99 2,927.25 2,347.23 1.65 0.55 1.54 1.03 1.64 2.06 1.65 2039 -9.4% -54.6% -17.1% -30.8% -13.2% -14.4% -9.4%
2040 2040 2,121.05 393.15 1,781.26 902.76 2,007.11 2,434.45 2,121.05 1.49 0.28 1.25 0.64 1.41 1.71 1.49 2040 -9.6% #NV -18.8% -38.2% -13.9% -16.8% -9.6%
  2041 1,912.22 147.13 1,412.25 654.70 1,711.39 1,941.66 1,912.22 1.35 0.10 0.99 0.46 1.21 1.37 1.35 2041 -9.8% #NV -20.7% #NV -14.7% -20.2% -9.8%
  2042 1,719.40 -172.16 1,084.39 457.58 1,442.47 1,448.87 1,719.40 1.21 -0.12 0.76 0.32 1.02 1.02 1.21 2042 -10.1% #NV -23.2% #NV -15.7% -25.4% -10.1%
Reference values for the country: China   2043 1,541.36 -234.20 796.03 307.21 1,198.88 956.08 1,541.36 1.09 -0.16 0.56 0.22 0.84 0.67 1.09 2043 -10.4% #NV -26.6% #NV -16.9% -34.0% -10.4%
  2044 1,376.97 -234.20 659.57 197.43 979.05 691.58 1,376.97 0.97 -0.16 0.46 0.14 0.69 0.49 0.97 2044 -10.7% #NV #NV #NV -18.3% #NV -10.7%
  2045 1,225.19 -234.20 541.93 87.64 781.39 427.08 1,225.19 0.86 -0.16 0.38 0.06 0.55 0.30 0.86 2045 -11.0% #NV #NV #NV -20.2% #NV -11.0%
  2046 1,085.05 -234.20 441.51 -38.56 685.02 162.58 1,085.05 0.76 -0.16 0.31 -0.03 0.48 0.11 0.76 2046 -11.4% #NV #NV #NV #NV #NV -11.4%
  2047 955.65 -234.20 356.64 -229.71 598.96 -177.45 955.65 0.67 -0.16 0.25 -0.16 0.42 -0.12 0.67 2047 -11.9% #NV #NV #NV #NV #NV -11.9%
  2048 836.17 -234.20 285.61 -234.20 522.36 -234.20 836.17 0.59 -0.16 0.20 -0.16 0.37 -0.16 0.59 2048 -12.5% #NV #NV #NV #NV #NV -12.5%
  2049 725.85 -234.20 226.74 -234.20 454.41 -234.20 725.85 0.51 -0.16 0.16 -0.16 0.32 -0.16 0.51 2049 -13.2% #NV #NV #NV #NV #NV -13.2%
2050 2050 670.20 -234.20 167.88 -234.20 394.30 -234.20 670.20 0.47 -0.16 0.12 -0.16 0.28 -0.16 0.47 2050 #NV #NV #NV #NV #NV #NV -7.7%
  2051 618.81 -234.20 109.02 -234.20 341.30 -234.20 618.81 0.44 -0.16 0.08 -0.16 0.24 -0.16 0.44 2051 #NV #NV #NV #NV #NV #NV -7.7%
  2052 571.36 -234.20 50.15 -234.20 294.71 -234.20 571.36 0.40 -0.16 0.04 -0.16 0.21 -0.16 0.40 2052 #NV #NV #NV #NV #NV #NV -7.7%
  2053 527.56 -234.20 -15.16 -234.20 253.87 -234.20 527.56 0.37 -0.16 -0.01 -0.16 0.18 -0.16 0.37 2053 #NV #NV #NV #NV #NV #NV -7.7%
  2054 487.11 -234.20 -117.65 -234.20 218.16 -234.20 487.11 0.34 -0.16 -0.08 -0.16 0.15 -0.16 0.34 2054 #NV #NV #NV #NV #NV #NV -7.7%
  2055 449.76 -234.20 -220.14 -234.20 182.46 -234.20 449.76 0.32 -0.16 -0.16 -0.16 0.13 -0.16 0.32 2055 #NV #NV #NV #NV #NV #NV -7.7%
  2056 415.27 -234.20 -234.20 -234.20 146.76 -234.20 415.27 0.29 -0.16 -0.16 -0.16 0.10 -0.16 0.29 2056 #NV #NV #NV #NV #NV #NV -7.7%
  2057 383.43 -234.20 -234.20 -234.20 111.06 -234.20 383.43 0.27 -0.16 -0.16 -0.16 0.08 -0.16 0.27 2057 #NV #NV #NV #NV #NV #NV -7.7%
  2058 354.03 -234.20 -234.20 -234.20 75.36 -234.20 354.03 0.25 -0.16 -0.16 -0.16 0.05 -0.16 0.25 2058 #NV #NV #NV #NV #NV #NV -7.7%
  2059 326.89 -234.20 -234.20 -234.20 39.66 -234.20 326.89 0.23 -0.16 -0.16 -0.16 0.03 -0.16 0.23 2059 #NV #NV #NV #NV #NV #NV -7.7%
2060 2060 301.82 -234.20 -234.20 -234.20 3.96 -234.20 301.82 0.21 -0.16 -0.16 -0.16 0.00 -0.16 0.21 2060 #NV #NV #NV #NV #NV #NV -7.7%
  2061 276.76 -234.20 -234.20 -234.20 -55.26 -234.20 276.76 0.19 -0.16 -0.16 -0.16 -0.04 -0.16 0.19 2061 #NV #NV #NV #NV #NV #NV -8.3%
  2062 251.70 -234.20 -234.20 -234.20 -117.41 -234.20 251.70 0.18 -0.16 -0.16 -0.16 -0.08 -0.16 0.18 2062 #NV #NV #NV #NV #NV #NV -9.1%
  2063 226.63 -234.20 -234.20 -234.20 -179.57 -234.20 226.63 0.16 -0.16 -0.16 -0.16 -0.13 -0.16 0.16 2063 #NV #NV #NV #NV #NV #NV -10.0%
  2064 201.57 -234.20 -234.20 -234.20 -234.20 -234.20 201.57 0.14 -0.16 -0.16 -0.16 -0.16 -0.16 0.14 2064 #NV #NV #NV #NV #NV #NV -11.1%
  2065 176.50 -234.20 -234.20 -234.20 -234.20 -234.20 176.50 0.12 -0.16 -0.16 -0.16 -0.16 -0.16 0.12 2065 #NV #NV #NV #NV #NV #NV -12.4%
  2066 151.44 -234.20 -234.20 -234.20 -234.20 -234.20 151.44 0.11 -0.16 -0.16 -0.16 -0.16 -0.16 0.11 2066 #NV #NV #NV #NV #NV #NV -14.2%
  2067 126.38 -234.20 -234.20 -234.20 -234.20 -234.20 126.38 0.09 -0.16 -0.16 -0.16 -0.16 -0.16 0.09 2067 #NV #NV #NV #NV #NV #NV -16.6%
  2068 101.31 -234.20 -234.20 -234.20 -234.20 -234.20 101.31 0.07 -0.16 -0.16 -0.16 -0.16 -0.16 0.07 2068 #NV #NV #NV #NV #NV #NV -19.8%
  2069 76.25 -234.20 -234.20 -234.20 -234.20 -234.20 76.25 0.05 -0.16 -0.16 -0.16 -0.16 -0.16 0.05 2069 #NV #NV #NV #NV #NV #NV -24.7%
2070 2070 51.18 -234.20 -234.20 -234.20 -234.20 -234.20 51.18 0.04 -0.16 -0.16 -0.16 -0.16 -0.16 0.04 2070 #NV #NV #NV #NV #NV #NV -32.9%
                        2071 26.12 -234.20 -234.20 -234.20 -234.20 -234.20 26.12 0.02 -0.16 -0.16 -0.16 -0.16 -0.16 0.02 2071 #NV #NV #NV #NV #NV #NV -49.0%
selected country: China Global framework data:           scenario:  RM-1 const RM-2 exp RM-3 lin RM-4 quadr RM-5 rad RM-6 abs FI per capita emissions 2019     A mathematical description of the RM Scenario Types is published on Zenodo: Zenodo   2072 1.06 -234.20 -234.20 -234.20 -234.20 -234.20 1.06 0.00 -0.16 -0.16 -0.16 -0.16 -0.16 0.00 2072 #NV #NV #NV #NV #NV #NV -96.0%
Total budget 2020 - 2100 500  Gt Is the budget 2020 - 2100 complied with? 485 yes yes yes yes yes yes yes global 4.76 t   2073 -41.80 -234.20 -234.20 -234.20 -234.20 -234.20 -41.80 -0.03 -0.16 -0.16 -0.16 -0.16 -0.16 -0.03 2073 #NV #NV #NV #NV #NV #NV #NV
data status Sep 22 LUC budget 2020 - 2100 0  Gt convergence year:  2049 2039 2043 2040 2045 2043 2049 China 8.29 t   2074 -85.44 -234.20 -234.20 -234.20 -234.20 -234.20 -85.44 -0.06 -0.16 -0.16 -0.16 -0.16 -0.16 -0.06 2074 #NV #NV #NV #NV #NV #NV #NV
ISA budget 2020 - 2100 15  Gt year of emission neutrality 2072 2041 2052 2045 2060 2046 2072   2075 -129.07 -234.20 -234.20 -234.20 -234.20 -234.20 -129.07 -0.09 -0.16 -0.16 -0.16 -0.16 -0.16 -0.09 2075 #NV #NV #NV #NV #NV #NV #NV
Countries starting with per capita emissions close to the convergence level have a significant kink in their emission paths after the convergence year. This kink should be avoided in practice based on the resulting budget for that country.
E_min -0.73  Gt DOI 10.5281/zenodo.4540475   2076 -172.71 -234.20 -234.20 -234.20 -234.20 -234.20 -172.71 -0.12 -0.16 -0.16 -0.16 -0.16 -0.16 -0.12 2076 #NV #NV #NV #NV #NV #NV #NV
convergence level 0.50  t   2077 -216.35 -234.20 -234.20 -234.20 -234.20 -234.20 -216.35 -0.15 -0.16 -0.16 -0.16 -0.16 -0.16 -0.15 2077 #NV #NV #NV #NV #NV #NV #NV
Shares of the country in 2019:   2078 -234.20 -234.20 -234.20 -234.20 -234.20 -234.20 -234.20 -0.16 -0.16 -0.16 -0.16 -0.16 -0.16 -0.16 2078 #NV #NV #NV #NV #NV #NV #NV
in global emissions population   2079 -234.20 -234.20 -234.20 -234.20 -234.20 -234.20 -234.20 -0.16 -0.16 -0.16 -0.16 -0.16 -0.16 -0.16 2079 #NV #NV #NV #NV #NV #NV #NV
32.08% 18.43% 2080 2080 -234.20 -234.20 -234.20 -234.20 -234.20 -234.20 -234.20 -0.16 -0.16 -0.16 -0.16 -0.16 -0.16 -0.16 2080 #NV #NV #NV #NV #NV #NV #NV
  2081 -234.20 -234.20 -234.20 -234.20 -234.20 -234.20 -234.20 -0.16 -0.16 -0.16 -0.16 -0.16 -0.16 -0.16 2081 #NV #NV #NV #NV #NV #NV #NV
  2082 -234.20 -234.20 -234.20 -234.20 -234.20 -234.20 -234.20 -0.16 -0.16 -0.16 -0.16 -0.16 -0.16 -0.16 2082 #NV #NV #NV #NV #NV #NV #NV
  2083 -234.20 -234.20 -234.20 -234.20 -234.20 -234.20 -234.20 -0.16 -0.16 -0.16 -0.16 -0.16 -0.16 -0.16 2083 #NV #NV #NV #NV #NV #NV #NV
  2084 -234.20 -234.20 -234.20 -234.20 -234.20 -234.20 -234.20 -0.16 -0.16 -0.16 -0.16 -0.16 -0.16 -0.16 2084 #NV #NV #NV #NV #NV #NV #NV
  2085 -234.20 -234.20 -234.20 -234.20 -234.20 -234.20 -234.20 -0.16 -0.16 -0.16 -0.16 -0.16 -0.16 -0.16 2085 #NV #NV #NV #NV #NV #NV #NV
  2086 -234.20 -234.20 -234.20 -234.20 -234.20 -234.20 -234.20 -0.16 -0.16 -0.16 -0.16 -0.16 -0.16 -0.16 2086 #NV #NV #NV #NV #NV #NV #NV
  2087 -234.20 -234.20 -234.20 -234.20 -234.20 -234.20 -234.20 -0.16 -0.16 -0.16 -0.16 -0.16 -0.16 -0.16 2087 #NV #NV #NV #NV #NV #NV #NV
  2088 -234.20 -234.20 -234.20 -234.20 -234.20 -234.20 -234.20 -0.16 -0.16 -0.16 -0.16 -0.16 -0.16 -0.16 2088 #NV #NV #NV #NV #NV #NV #NV
  2089 -234.20 -234.20 -234.20 -234.20 -234.20 -234.20 -234.20 -0.16 -0.16 -0.16 -0.16 -0.16 -0.16 -0.16 2089 #NV #NV #NV #NV #NV #NV #NV
2090 2090 -234.20 -234.20 -234.20 -234.20 -234.20 -234.20 -234.20 -0.16 -0.16 -0.16 -0.16 -0.16 -0.16 -0.16 2090 #NV #NV #NV #NV #NV #NV #NV
  2091 -234.20 -234.20 -234.20 -234.20 -234.20 -234.20 -234.20 -0.16 -0.16 -0.16 -0.16 -0.16 -0.16 -0.16 2091 #NV #NV #NV #NV #NV #NV #NV
  2092 -234.20 -234.20 -234.20 -234.20 -234.20 -234.20 -234.20 -0.16 -0.16 -0.16 -0.16 -0.16 -0.16 -0.16 2092 #NV #NV #NV #NV #NV #NV #NV
  2093 -234.20 -234.20 -234.20 -234.20 -234.20 -234.20 -234.20 -0.16 -0.16 -0.16 -0.16 -0.16 -0.16 -0.16 2093 #NV #NV #NV #NV #NV #NV #NV
  2094 -234.20 -234.20 -234.20 -234.20 -234.20 -234.20 -234.20 -0.16 -0.16 -0.16 -0.16 -0.16 -0.16 -0.16 2094 #NV #NV #NV #NV #NV #NV #NV
  2095 -234.20 -234.20 -234.20 -234.20 -234.20 -234.20 -234.20 -0.16 -0.16 -0.16 -0.16 -0.16 -0.16 -0.16 2095 #NV #NV #NV #NV #NV #NV #NV
  2096 -234.20 -234.20 -234.20 -234.20 -234.20 -234.20 -234.20 -0.16 -0.16 -0.16 -0.16 -0.16 -0.16 -0.16 2096 #NV #NV #NV #NV #NV #NV #NV
  2097 -234.20 -234.20 -234.20 -234.20 -234.20 -234.20 -234.20 -0.16 -0.16 -0.16 -0.16 -0.16 -0.16 -0.16 2097 #NV #NV #NV #NV #NV #NV #NV
  2098 -234.20 -234.20 -234.20 -234.20 -234.20 -234.20 -234.20 -0.16 -0.16 -0.16 -0.16 -0.16 -0.16 -0.16 2098 #NV #NV #NV #NV #NV #NV #NV
  2099 -234.20 -234.20 -234.20 -234.20 -234.20 -234.20 -234.20 -0.16 -0.16 -0.16 -0.16 -0.16 -0.16 -0.16 2099 #NV #NV #NV #NV #NV #NV #NV
2100 2100 -234.20 -234.20 -234.20 -234.20 -234.20 -234.20 -234.20 -0.16 -0.16 -0.16 -0.16 -0.16 -0.16 -0.16 2100 #NV #NV #NV #NV #NV #NV #NV
  RM-1 const RM-2 exp RM-3 lin RM-4 quadr RM-5 rad RM-6 abs RF: FI                
1990 2,425.6
2019 385% 385% 385% 385% 385% 385% 385%
A mathematical description of the Regensburg Formula is published on Zenodo: Zenodo 2020 393% 393% 393% 393% 393% 393% 393%
2025 247% 363% 329% 359% 300% 305% 247%
2030 124% 287% 206% 257% 172% 204% 124%
2035 42% 110% 75% 86% 62% 102% 42%
DOI 10.5281/zenodo.4405448 2040 -13% -84% -27% -63% -17% 0% -13%
2050 -72% -110% -93% -110% -84% -110% -72%
  RM-1 const RM-2 exp RM-3 lin RM-4 quadr RM-5 rad RM-6 abs RF: FI
2010 9,294.4
2019 27% 27% 27% 27% 27% 27% 27%
2020 29% 29% 29% 29% 29% 29% 29%
Are the IWPs up to date? yes 2030 -41% 1% -20% -7% -29% -21% -41%
2040 -77% -96% -81% -90% -78% -74% -77%
2050 -93% -103% -98% -103% -96% -103% -93%
2019 11,771.1
2020 2% 2% 2% 2% 2% 2% 2%
2025 -29% -5% -12% -5% -18% -17% -29%
2030 -54% -20% -37% -26% -44% -37% -54%
2040 -82% -97% -85% -92% -83% -79% -82%
2050 -94% -102% -99% -102% -97% -102% -94%
             
RF: RM-1 const RF: RM-2 exp RF: RM-3 lin RF: RM-4 quadr RF: RM-5 rad RF: RM-6 abs RF: FI global
Scope 12.0 13.0 12.6 12.8 12.4 12.6 12.0 13.2
  RF: RM-1 const RF: RM-2 exp RF: RM-3 lin RF: RM-4 quadr RF: RM-5 rad RF: RM-6 abs RF: FI
2020-2030 national 95,480 121,680 111,907 119,392 105,854 108,416 95,480
2020-2100 national 141,604 152,916 148,027 150,568 145,547 147,974 141,604
share country / global 29.196% 31.526% 30.527% 31.014% 30.009% 30.500% 29.196%
2020-2100 global 485 485 485 485 485 485 485
sum net negative emissions 6,032 13,756 10,892 12,681 9,018 12,590 6,032
2005 6338.4
2030 -14% 48% 17% 37% 4% 16% -14%
Japan 2013 1328.3
2030 310% 606% 459% 553% 397% 454% 310%
legend
Mill. t CO2