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Table 3 Correlation between each parameter, and TCRE in the I-1% scenario and the relative TCRE change from the I-1% scenario

From: Relationship between physical and biogeochemical parameters and the scenario dependence of the transient climate response to cumulative carbon emissions

Parameter I-1% D-1% I-0.25% I-0.5% I-2% I-4%
Equilibrium climate sensitivity (ECS) 0.829
0.835***
0.865
0.891***
0.762
0.791***
0.775
0.785***
−  0.742
− 0.743***
− 0.776
− 0.773***
Vertical diffusivity − 0.199
− 0.191***
− 0.144
− 0.135***
− 0.084
− 0.079
− 0.140
− 0.129**
0.176
0.172**
0.193
0.192***
Horizontal diffusivity 0.035
0.047
0.080
0.076
0.091
0.082
0.090
0.085
− 0.050
− 0.060
− 0.043
− 0.051
Gent–McWilliams thickness 0.066
0.072
0.000
0.007
− 0.009
− 0.008
− 0.005
− 0.008
− 0.018
− 0.025
− 0.004
− 0.006
Freshwater flux adjustment − 0.024
− 0.019
0.020
0.031
0.010
0.016
0.004
0.007
0.023
0.023
0.022
0.019
Marine CO2 uptake − 0.294
− 0.288***
0.018
0.038
− 0.110
− 0.097
− 0.091
− 0.092
0.152
0.160**
0.164
0.178***
Maximum photosynthetic rate 0.026
0.046
0.239
0.207***
0.113
0.089
0.109
0.094
− 0.127
− 0.135***
− 0.131
− 0.154***
Specific leaf area − 0.205
− 0.186***
0.072
0.045
− 0.114
− 0.121*
− 0.138
− 0.139**
0.184
0.170**
0.173
0.153**
Minimum temperature for photosynthesis − 0.032
− 0.036
− 0.026
− 0.018
− 0.097
− 0.092
− 0.083
− 0.081
0.084
0.086
0.057
0.066
Temperature dependency of plant respiration 0.233
0.235***
0.219
0.213***
0.347
0.349***
0.367
0.371***
− 0.393
− 0.399***
− 0.364
− 0.376***
Temperature dependency of soil respiration − 0.032
− 0.031
− 0.047
− 0.025
− 0.008
0.002
− 0.028
0.030
− 0.066
− 0.049
− 0.040
− 0.018
CO2–carbon cycle feedback (β ) − 0.346
− 0.324***
− 0.040
− 0.047
− 0.239
− 0.261***
− 0.306
− 0.313***
0.386
0.379***
0.354
0.339***
Climate–carbon cycle feedback (γ ) 0.053
0.014
0.001
0.029
− 0.026
0.033
0.064
0.050
0.039
0.002
0.031
0.026
TCRE of I-1% 0.810
0.835***
0.831
0.863***
0.869
0.885***
− 0.922
− 0.928***
− 0.943
− 0.949***
  1. In each cell, the upper and lower lines show the weighted Pearson’s product-moment correlation and the weighted Spearman’s rank correlation, respectively (weights are considered in calculating the variance and co-variance for the independent and dependent variables). For the latter, *, **, and *** indicate statistical significance at the 10%, 5%, and 1% levels, respectively (the sum of the weights for all members, i.e., 222.17, is used as the sample size in the statistical significance test)