RM-1 RM-2 RM-3   RM-4 RM-5   RM-6
constant annual reduction rate assumes an exponential increase of annual reduction rates assumes a linear increase of annual reduction rates quadratic formula for annual reduction rates radical formula for annual reduction rates constant absolute annual reduction amount
calculation RM 1 - 6 correcting factor 0.5 The emission path is a straight line.
 cumulative budget 2020 - 2100  cumulative budget 2020 - 2100 35.72  cumulative budget 2020 - 2100 35.72  cumulative budget 2020 - 2100   35.72  cumulative budget 2020 - 2100   35.72  cumulative budget 2020 - 2100   35.72  cumulative budget 2020 - 2100   35.72
   scenario sum emissions 2020 - 2100  scenario sum emissions 2020 - 2100 35.72    scenario sum emissions 2020 - 2100 35.72  scenario sum emissions 2020 - 2100 35.72  scenario sum emissions 2020 - 2100   35.72  scenario sum emissions 2020 - 2100   35.72  scenario sum emissions 2020 - 2100   35.72
base data  E_min  E_min -0.02    E_min -0.02  E_min       -0.02  E_min -0.02  E_min -0.02  E_min       -0.02
input sheet 'gloal seek'  scenario emissions in the year 2100  scenario emissions in the year 2100 -0.02    scenario emissions in the year 2100 -0.02  scenario emissions in the year 2100 -0.02  scenario emissions in the year 2100   -0.02  scenario emissions in the year 2100   -0.02  scenario emissions in the year 2100   -0.02
   RR_SY; input value sheet "goal seek" -4.29%  RR_SY; input value sheet "goal seek" -4.29%  RR_SY; input value sheet "goal seek" -4.29%  RR_SY; input value sheet "goal seek" -4.29%  RR_SY; info     -12.54%
goal seek  free parameter -8.65%  free parameter 8.48%  free parameter -0.58%  free parameter -0.0006  free parameter -0.0183  free parameter     -0.11
actual  years until the corona effect is zero start year 2024
    year emissions absolute
change
vs. prev. year
relative
change
vs. prev.
year
  emissions absolute
change
vs. prev. year
relative
change
vs. prev.
year
  emissions absolute
change
vs. prev. year
relative
change
vs. prev.
year
  emissions absolute
change
vs. prev. year
relative
change
vs. prev.
year
  emissions absolute
change
vs. prev. year
relative
change
vs. prev.
year
  emissions absolute
change
vs. prev. year
relative
change
vs. prev.
year
 
    t see formula
Et
Et - Et-1 RRt const actual RRt see formula
Et
Et - Et-1 see formula actual RRt see formula
Et
Et - Et-1 see formula actual RRt see formula
Et
Et - Et-1 see formula actual RRt see formula
Et
Et - Et-1 see formula actual RRt see formula
Et
free parameter
Et - Et-1
actual
Et - Et-1
RRt
1   2019 2.96         2.96         2.96         2.96         2.96         2.96        
2   2020   2.59 -0.372 -8.65% -12.54%     2.59 -0.372 -4.29% -12.54%     2.59 -0.372 -4.29% -12.54%     2.59 -0.372 -4.29% -12.54%     2.59 -0.372 -4.29% -12.54%     2.59 -0.11 -0.37 -12.54%  
3   2021 2.78 0.191 -8.65% 7.37%   2.78 0.191 -4.29% 7.37%   2.78 0.191 -4.29% 7.37%   2.78 0.191 -4.29% 7.37%   2.78 0.191 -4.29% 7.37%   2.78 -0.11 0.19 7.37%  
4   2022 2.77 -0.010 -8.65% -0.34%   2.77 -0.010 -4.29% -0.34%   2.77 -0.010 -4.29% -0.34%   2.77 -0.010 -4.29% -0.34%   2.77 -0.010 -4.29% -0.34%   2.77 -0.11 -0.01 -0.34%  
5   2023 2.51 -0.268 -8.65% -9.65%   2.51 -0.268 -4.29% -9.65%   2.51 -0.268 -4.29% -9.65%   2.51 -0.268 -4.29% -9.65%   2.51 -0.268 -4.29% -9.65%   2.51 -0.11 -0.27 -9.65%  
6   2024   2.29 -0.217 -8.65% -8.65%     2.40 -0.107 -4.29% -4.29%     2.40 -0.107 -4.29% -4.29%     2.40 -0.107 -4.29% -4.29%     2.40 -0.107 -4.29% -4.29%     2.39 -0.11 -0.11 -4.57%  
7   2025   2.09 -0.198 -8.65% -8.65%     2.29 -0.112 -4.65% -4.65%     2.28 -0.117 -4.87% -4.87%     2.29 -0.104 -4.34% -4.34%     2.26 -0.134 -5.58% -5.58%     2.28 -0.11 -0.11 -4.79%  
8   2026 1.91 -0.181 -8.65% -8.65%   2.17 -0.115 -5.05% -5.05%   2.16 -0.124 -5.45% -5.45%   2.19 -0.104 -4.51% -4.51%   2.12 -0.148 -6.53% -6.53%   2.16 -0.11 -0.11 -5.03%  
9   2027 1.74 -0.165 -8.65% -8.65%   2.05 -0.119 -5.47% -5.47%   2.03 -0.130 -6.03% -6.03%   2.09 -0.105 -4.80% -4.80%   1.96 -0.152 -7.19% -7.19%   2.05 -0.11 -0.11 -5.29%  
10   2028 1.59 -0.151 -8.65% -8.65%   1.93 -0.122 -5.94% -5.94%   1.89 -0.134 -6.61% -6.61%   1.98 -0.108 -5.20% -5.20%   1.81 -0.152 -7.72% -7.72%   1.93 -0.11 -0.11 -5.59%  
11   2029 1.46 -0.138 -8.65% -8.65%   1.81 -0.124 -6.44% -6.44%   1.76 -0.136 -7.19% -7.19%   1.86 -0.113 -5.71% -5.71%   1.66 -0.148 -8.18% -8.18%   1.82 -0.11 -0.11 -5.92%  
12   2030 1.33 -0.126 -8.65% -8.65%   1.68 -0.126 -6.99% -6.99%   1.62 -0.137 -7.78% -7.78%   1.75 -0.118 -6.34% -6.34%   1.52 -0.143 -8.59% -8.59%   1.70 -0.11 -0.11 -6.29%  
13   2031 1.21 -0.115 -8.65% -8.65%   1.55 -0.127 -7.58% -7.58%   1.48 -0.135 -8.36% -8.36%   1.62 -0.124 -7.08% -7.08%   1.39 -0.136 -8.96% -8.96%   1.59 -0.11 -0.11 -6.71%  
14   2032 1.11 -0.105 -8.65% -8.65%   1.42 -0.128 -8.22% -8.22%   1.35 -0.133 -8.94% -8.94%   1.49 -0.129 -7.93% -7.93%   1.26 -0.129 -9.31% -9.31%   1.48 -0.11 -0.11 -7.20%  
15   2033 1.01 -0.096 -8.65% -8.65%   1.30 -0.127 -8.92% -8.92%   1.22 -0.129 -9.52% -9.52%   1.36 -0.133 -8.90% -8.90%   1.14 -0.121 -9.63% -9.63%   1.36 -0.11 -0.11 -7.76%  
16   2034 0.93 -0.088 -8.65% -8.65%   1.17 -0.126 -9.68% -9.68%   1.10 -0.124 -10.10% -10.10%   1.23 -0.136 -9.98% -9.98%   1.02 -0.113 -9.94% -9.94%   1.25 -0.11 -0.11 -8.41%  
17   2035 0.85 -0.080 -8.65% -8.65%   1.05 -0.123 -10.50% -10.50%   0.98 -0.117 -10.68% -10.68%   1.09 -0.137 -11.17% -11.17%   0.92 -0.105 -10.23% -10.23%   1.13 -0.11 -0.11 -9.18%  
18   2036 0.77 -0.073 -8.65% -8.65%   0.93 -0.119 -11.39% -11.39%   0.87 -0.111 -11.26% -11.26%   0.95 -0.136 -12.48% -12.48%   0.82 -0.096 -10.50% -10.50%   1.02 -0.11 -0.11 -10.11%  
19   2037 0.71 -0.067 -8.65% -8.65%   0.81 -0.115 -12.35% -12.35%   0.77 -0.103 -11.85% -11.85%   0.82 -0.132 -13.90% -13.90%   0.73 -0.088 -10.77% -10.77%   0.90 -0.11 -0.11 -11.24%  
20   2038 0.64 -0.061 -8.65% -8.65%   0.71 -0.109 -13.40% -13.40%   0.67 -0.095 -12.43% -12.43%   0.69 -0.127 -15.44% -15.44%   0.65 -0.081 -11.02% -11.02%   0.79 -0.11 -0.11 -12.67%  
21   2039 0.59 -0.056 -8.65% -8.65%   0.60 -0.103 -14.54% -14.54%   0.59 -0.088 -13.01% -13.01%   0.57 -0.118 -17.09% -17.09%   0.58 -0.073 -11.27% -11.27%   0.67 -0.11 -0.11 -14.51%  
22   2040 0.54 -0.051 -8.65% -8.65%   0.51 -0.095 -15.77% -15.77%   0.51 -0.080 -13.59% -13.59%   0.47 -0.108 -18.85% -18.85%   0.51 -0.067 -11.50% -11.50%   0.56 -0.11 -0.11 -16.97%  
23   2041 0.49 -0.047 -8.65% -8.65%   0.42 -0.087 -17.11% -17.11%   0.43 -0.072 -14.17% -14.17%   0.37 -0.097 -20.73% -20.73%   0.45 -0.060 -11.73% -11.73%   0.45 -0.11 -0.11 -20.44%  
24   2042 0.45 -0.043 -8.65% -8.65%   0.34 -0.078 -18.56% -18.56%   0.37 -0.064 -14.75% -14.75%   0.29 -0.084 -22.72% -22.72%   0.40 -0.054 -11.96% -11.96%   0.33 -0.11 -0.11 -25.69%  
25   2043 0.41 -0.039 -8.65% -8.65%   0.27 -0.069 -20.13% -20.13%   0.31 -0.057 -15.33% -15.33%   0.21 -0.071 -24.83% -24.83%   0.35 -0.048 -12.17% -12.17%   0.22 -0.11 -0.11 -34.56%  
26   2044 0.37 -0.035 -8.65% -8.65%   0.21 -0.060 -21.84% -21.84%   0.26 -0.050 -15.92% -15.92%   0.16 -0.058 -27.05% -27.05%   0.31 -0.043 -12.38% -12.38%   0.10 -0.11 -0.11 -52.82%  
27   2045 0.34 -0.032 -8.65% -8.65%   0.16 -0.051 -23.69% -23.69%   0.22 -0.043 -16.50% -16.50%   0.11 -0.046 -29.38% -29.38%   0.27 -0.039 -12.59% -12.59%   -0.01 -0.11 -0.11  
28   2046 0.31 -0.030 -8.65% -8.65%   0.12 -0.042 -25.70% -25.70%   0.18 -0.038 -17.08% -17.08%   0.08 -0.035 -31.83% -31.83%   0.23 -0.034 -12.79% -12.79%   -0.02 -0.11 -0.01  
29   2047 0.29 -0.027 -8.65% -8.65%   0.09 -0.034 -27.88% -27.88%   0.15 -0.032 -17.66% -17.66%   0.04 -0.035 -34.39% -46.69%   0.20 -0.030 -12.98% -12.98%   -0.02 -0.11 0.00  
30   2048 0.26 -0.025 -8.65% -8.65%   0.05 -0.034 -30.25% -38.66%   0.12 -0.027 -18.24% -18.24%   0.00 -0.035 -37.06% -87.57%   0.18 -0.027 -13.17% -13.17%   -0.02 -0.11 0.00  
31   2049 0.24 -0.023 -8.65% -8.65%   0.02 -0.034 -32.81% -63.02%   0.10 -0.023 -18.82% -18.82%   -0.02 -0.025 -39.85%     0.15 -0.024 -13.36% -13.36%   -0.02 -0.11 0.00  
32   2050 0.22 -0.021 -8.65% -8.65%   -0.01 -0.034 -35.59%     0.08 -0.023 -19.40% -23.19%   -0.02 0.000 -42.75%     0.13 -0.021 -13.54% -13.54%   -0.02 -0.11 0.00  
33   2051 0.20 -0.019 -8.65% -8.65%   -0.02 -0.006 -38.61%     0.05 -0.023 -19.99% -30.19%   -0.02 0.000 -45.77%     0.11 -0.018 -13.72% -13.72%   -0.02 -0.11 0.00  
34   2052 0.18 -0.017 -8.65% -8.65%   -0.02 0.000 -41.89%     0.03 -0.023 -20.57% -43.24%   -0.02 0.000 -48.90%     0.10 -0.016 -13.90% -13.90%   -0.02 -0.11 0.00  
35   2053 0.17 -0.016 -8.65% -8.65%   -0.02 0.000 -45.44%     0.01 -0.023 -21.15% -76.17%   -0.02 0.000 -52.14%     0.08 -0.016 -14.07% -16.14%   -0.02 -0.11 0.00  
36   2054 0.15 -0.014 -8.65% -8.65%   -0.02 0.000 -49.29%     -0.02 -0.023 -21.73%     -0.02 0.000 -55.50%     0.07 -0.016 -14.24% -19.25%   -0.02 -0.11 0.00  
37   2055 0.14 -0.013 -8.65% -8.65%   -0.02 0.000 -53.47%     -0.02 -0.004 -22.31%     -0.02 0.000 -58.97%     0.05 -0.016 -14.41% -23.84%   -0.02 -0.11 0.00  
38   2056 0.13 -0.012 -8.65% -8.65%   -0.02 0.000 -58.01%     -0.02 0.000 -22.89%     -0.02 0.000 -62.55%     0.03 -0.016 -14.57% -31.30%   -0.02 -0.11 0.00  
39   2057 0.11 -0.012 -8.65% -9.47%   -0.02 0.000 -62.93%     -0.02 0.000 -23.47%     -0.02 0.000 -66.25%     0.02 -0.016 -14.74% -45.57%   -0.02 -0.11 0.00  
40   2058 0.10 -0.012 -8.65% -10.46%   -0.02 0.000 -68.26%     -0.02 0.000 -24.06%     -0.02 0.000 -70.07%     0.00 -0.016 -14.90% -83.72%   -0.02 -0.11 0.00  
41   2059 0.09 -0.012 -8.65% -11.68%   -0.02 0.000 -74.05%     -0.02 0.000 -24.64%     -0.02 0.000 -73.99%     -0.01 -0.016 -15.05%     -0.02 -0.11 0.00  
42   2060 0.08 -0.012 -8.65% -13.23%   -0.02 0.000 -80.33%     -0.02 0.000 -25.22%     -0.02 0.000 -78.03%     -0.02 -0.007 -15.21%     -0.02 -0.11 0.00  
43   2061 0.07 -0.012 -8.65% -15.25%   -0.02 0.000 -87.15%     -0.02 0.000 -25.80%     -0.02 0.000 -82.19%     -0.02 0.000 -15.36%     -0.02 -0.11 0.00  
44   2062 0.05 -0.012 -8.65% -17.99%   -0.02 0.000 -94.54%     -0.02 0.000 -26.38%     -0.02 0.000 -86.45%     -0.02 0.000 -15.51%     -0.02 -0.11 0.00  
45   2063 0.04 -0.012 -8.65% -21.93%   -0.02 0.000 -102.56%     -0.02 0.000 -26.96%     -0.02 0.000 -90.84%     -0.02 0.000 -15.66%     -0.02 -0.11 0.00  
46   2064 0.03 -0.012 -8.65% -28.09%   -0.02 0.000 -111.25%     -0.02 0.000 -27.54%     -0.02 0.000 -95.33%     -0.02 0.000 -15.81%     -0.02 -0.11 0.00  
47   2065 0.02 -0.012 -8.65% -39.07%   -0.02 0.000 -120.69%     -0.02 0.000 -28.12%     -0.02 0.000 -99.94%     -0.02 0.000 -15.95%     -0.02 -0.11 0.00  
48   2066 0.01 -0.012 -8.65% -64.12%   -0.02 0.000 -130.93%     -0.02 0.000 -28.71%     -0.02 0.000 -104.66%     -0.02 0.000 -16.10%     -0.02 -0.11 0.00  
49   2067 -0.01 -0.012 -8.65%     -0.02 0.000 -142.03%     -0.02 0.000 -29.29%     -0.02 0.000 -109.50%     -0.02 0.000 -16.24%     -0.02 -0.11 0.00  
50   2068 -0.02 -0.012 -8.65%     -0.02 0.000 -154.08%     -0.02 0.000 -29.87%     -0.02 0.000 -114.45%     -0.02 0.000 -16.38%     -0.02 -0.11 0.00  
51   2069 -0.02 -0.003 -8.65%     -0.02 0.000 -167.14%     -0.02 0.000 -30.45%     -0.02 0.000 -119.51%     -0.02 0.000 -16.51%     -0.02 -0.11 0.00  
52   2070 -0.02 0.000 -8.65%     -0.02 0.000 -181.32%     -0.02 0.000 -31.03%     -0.02 0.000 -124.69%     -0.02 0.000 -16.65%     -0.02 -0.11 0.00  
53   2071 -0.02 0.000 -8.65%     -0.02 0.000 -196.70%     -0.02 0.000 -31.61%     -0.02 0.000 -129.98%     -0.02 0.000 -16.79%     -0.02 -0.11 0.00  
54   2072 -0.02 0.000 -8.65%     -0.02 0.000 -213.38%     -0.02 0.000 -32.19%     -0.02 0.000 -135.39%     -0.02 0.000 -16.92%     -0.02 -0.11 0.00  
55   2073 -0.02 0.000 -8.65%     -0.02 0.000 -231.47%     -0.02 0.000 -32.78%     -0.02 0.000 -140.91%     -0.02 0.000 -17.05%     -0.02 -0.11 0.00  
56   2074 -0.02 0.000 -8.65%     -0.02 0.000 -251.11%     -0.02 0.000 -33.36%     -0.02 0.000 -146.54%     -0.02 0.000 -17.18%     -0.02 -0.11 0.00  
57   2075 -0.02 0.000 -8.65%     -0.02 0.000 -272.40%     -0.02 0.000 -33.94%     -0.02 0.000 -152.29%     -0.02 0.000 -17.31%     -0.02 -0.11 0.00  
58   2076 -0.02 0.000 -8.65%     -0.02 0.000 -295.50%     -0.02 0.000 -34.52%     -0.02 0.000 -158.15%     -0.02 0.000 -17.44%     -0.02 -0.11 0.00  
59   2077 -0.02 0.000 -8.65%     -0.02 0.000 -320.57%     -0.02 0.000 -35.10%     -0.02 0.000 -164.12%     -0.02 0.000 -17.57%     -0.02 -0.11 0.00  
60   2078 -0.02 0.000 -8.65%     -0.02 0.000 -347.75%     -0.02 0.000 -35.68%     -0.02 0.000 -170.21%     -0.02 0.000 -17.69%     -0.02 -0.11 0.00  
61   2079 -0.02 0.000 -8.65%     -0.02 0.000 -377.25%     -0.02 0.000 -36.26%     -0.02 0.000 -176.42%     -0.02 0.000 -17.82%     -0.02 -0.11 0.00  
62   2080 -0.02 0.000 -8.65%     -0.02 0.000 -409.24%     -0.02 0.000 -36.85%     -0.02 0.000 -182.73%     -0.02 0.000 -17.94%     -0.02 -0.11 0.00  
63   2081 -0.02 0.000 -8.65%     -0.02 0.000 -443.95%     -0.02 0.000 -37.43%     -0.02 0.000 -189.16%     -0.02 0.000 -18.07%     -0.02 -0.11 0.00  
64   2082 -0.02 0.000 -8.65%     -0.02 0.000 -481.60%     -0.02 0.000 -38.01%     -0.02 0.000 -195.71%     -0.02 0.000 -18.19%     -0.02 -0.11 0.00  
65   2083 -0.02 0.000 -8.65%     -0.02 0.000 -500.00%     -0.02 0.000 -38.59%     -0.02 0.000 -202.36%     -0.02 0.000 -18.31%     -0.02 -0.11 0.00  
66   2084 -0.02 0.000 -8.65%     -0.02 0.000 -500.00%     -0.02 0.000 -39.17%     -0.02 0.000 -209.13%     -0.02 0.000 -18.43%     -0.02 -0.11 0.00  
67   2085 -0.02 0.000 -8.65%     -0.02 0.000 -500.00%     -0.02 0.000 -39.75%     -0.02 0.000 -216.02%     -0.02 0.000 -18.54%     -0.02 -0.11 0.00  
68   2086 -0.02 0.000 -8.65%     -0.02 0.000 -500.00%     -0.02 0.000 -40.33%     -0.02 0.000 -223.02%     -0.02 0.000 -18.66%     -0.02 -0.11 0.00  
69   2087 -0.02 0.000 -8.65%     -0.02 0.000 -500.00%     -0.02 0.000 -40.92%     -0.02 0.000 -230.13%     -0.02 0.000 -18.78%     -0.02 -0.11 0.00  
70   2088 -0.02 0.000 -8.65%     -0.02 0.000 -500.00%     -0.02 0.000 -41.50%     -0.02 0.000 -237.36%     -0.02 0.000 -18.89%     -0.02 -0.11 0.00  
71   2089 -0.02 0.000 -8.65%     -0.02 0.000 -500.00%     -0.02 0.000 -42.08%     -0.02 0.000 -244.70%     -0.02 0.000 -19.01%     -0.02 -0.11 0.00  
72   2090 -0.02 0.000 -8.65%     -0.02 0.000 -500.00%     -0.02 0.000 -42.66%     -0.02 0.000 -252.15%     -0.02 0.000 -19.12%     -0.02 -0.11 0.00  
73   2091 -0.02 0.000 -8.65%     -0.02 0.000 -500.00%     -0.02 0.000 -43.24%     -0.02 0.000 -259.72%     -0.02 0.000 -19.23%     -0.02 -0.11 0.00  
74   2092 -0.02 0.000 -8.65%     -0.02 0.000 -500.00%     -0.02 0.000 -43.82%     -0.02 0.000 -267.40%     -0.02 0.000 -19.35%     -0.02 -0.11 0.00  
75   2093 -0.02 0.000 -8.65%     -0.02 0.000 -500.00%     -0.02 0.000 -44.40%     -0.02 0.000 -275.20%     -0.02 0.000 -19.46%     -0.02 -0.11 0.00  
76   2094 -0.02 0.000 -8.65%     -0.02 0.000 -500.00%     -0.02 0.000 -44.99%     -0.02 0.000 -283.11%     -0.02 0.000 -19.57%     -0.02 -0.11 0.00  
77   2095 -0.02 0.000 -8.65%     -0.02 0.000 -500.00%     -0.02 0.000 -45.57%     -0.02 0.000 -291.13%     -0.02 0.000 -19.68%     -0.02 -0.11 0.00  
78   2096 -0.02 0.000 -8.65%     -0.02 0.000 -500.00%     -0.02 0.000 -46.15%     -0.02 0.000 -299.27%     -0.02 0.000 -19.79%     -0.02 -0.11 0.00  
79   2097 -0.02 0.000 -8.65%     -0.02 0.000 -500.00%     -0.02 0.000 -46.73%     -0.02 0.000 -307.52%     -0.02 0.000 -19.89%     -0.02 -0.11 0.00  
80   2098 -0.02 0.000 -8.65%     -0.02 0.000 -500.00%     -0.02 0.000 -47.31%     -0.02 0.000 -315.88%     -0.02 0.000 -20.00%     -0.02 -0.11 0.00  
81   2099 -0.02 0.000 -8.65%     -0.02 0.000 -500.00%     -0.02 0.000 -47.89%     -0.02 0.000 -324.36%     -0.02 0.000 -20.11%     -0.02 -0.11 0.00  
82   2100 -0.02 0.000 -8.65%     -0.02 0.000 -500.00%     -0.02 0.000 -48.47%     -0.02 0.000 -332.95%     -0.02 0.000 -20.21%     -0.02 -0.11 0.00  
sum 36         36         36         36         36         36        
-1 sum net negative emissions -1 sum net negative emissions -1 sum net negative emissions -1 sum net negative emissions   -1 sum net negative emissions   -1 sum net negative emissions  
E_min < E_t ≤ TV The emission path is a straight line.
E_t = E_min
Detailed mathematical description of the RM Scenario Types: Zenodo