Overall correlations between domain evolutionary rate, dynamical influence, and other explanatory variables.

Spearman rank (ρ) and rank biserial (rb) correlation coefficients for variables evolutionary rate dN/dS (ω), dynamical influence (D), expression breadth (B, for vertebrates only), expression level (X), interaction degree (d), interaction betweenness centrality (C), knockout essentiality (E), and knockout growth rate (Gr, for yeast only). Mean population correlations and their confidence intervals were estimated from all analyzed models using the random-effects meta-analysis approach of Hunter and Schmidt [52]. For a complementary test of the null hypothesis of independence between variables, two-sided p-values were calculated via permutation (Materials and Methods). Dynamical influence is independently predictive of evolutionary rate, as shown by the negative and statistically significant mean partial correlation after controlling for all other variables.