# Table 2 Decomposition of calculation with six sub-models and the 24 paths to be included in the ATL analysis

Final state {1} {2} {3} {4} {5} {6} {7} {8}
Equilibrium climate sensitivity 2.285 2.665 2.935 3.165 3.415 3.695 4.055 4.725
Submodel-A Stage 1 {1,2,3} {1,2,3} {1,2,3} {4,5,6} {4,5,6} {4,5,6} {7,8} {7,8}
Stage 2 {1,2} {1,2} {3} {4,5} {4,5} {6} {7,8} {7,8}
Submodel-B Stage 1 {1,2,3} {1,2,3} {1,2,3} {4,5,6} {4,5,6} {4,5,6} {7,8} {7,8}
Stage 2 {1} {2,3} {23} {4} {5,6} {5,6} {7,8} {7,8}
Submodel-C Stage 1 {1} {2,3,4} {2,3,4} {2,3,4} {5,6,7} {5,6,7} {5,6,7} {8}
Stage 2 {1} {2,3} {2,3} {4} {5,6} {5,6} {7} {8}
Submodel-D Stage 1 {1} {2,3,4} {2,3,4} {2,3,4} {5,6,7} {5,6,7} {5,6,7} {8}
Stage 2 {1} {2} {3,4} {3,4} {5} {6,7} {6,7} {8}
Submodel-E Stage 1 {1,2} {1,2} {3,4,5} {3,4,5} {3,4,5} {6,7,8} {6,7,8} {8}
Stage 2 {1,2} {1,2} {3,4} {3,4} {5} {6,7} {6,7} {8}
Submodel-F Stage 1 {1,2} {1,2} {3,4,5} {3,4,5} {3,4,5} {6,7,8} {6,7,8} {6,7,8}
1. States are represented by the categories in the braces corresponding to Table 1
2. To solve the ATL procedure, we divide the model into six sub-models (sub-model A–F). Each sub-model generates solution under the specific ATL conditions shown in Eq. (3). Four of eight scenarios generated by each sub-model values given in italics constitute the part of original ATL model