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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)