Fig. 5: Effect of rΘ, 〈l〉, and hd on QST,s and QST,u in the setting with heterogeneous selection.
a Comparison of the response of QST,u to migration with the response of QST,u in the setting with no selection for the complete graph. The dashed vertical blue line corresponds to the critical migration regime m⋆ predicted by Eq. (7). Heterogeneous selection increases QST,u when m < m⋆, but local adaptation is lost when m > m⋆, and in this case QST,u reaches similar levels as QST,u in the setting with no selection. b Response of QST,u to rΘ and migration for the path graph. rΘ correlates positively with QST,u for high m, but correlates negatively for low m. In a, b, each plain dot represents average results from 5 replicate simulations, the bars represent one standard deviation, and each fade dot represents a single replicate value. c, d Standardized effect of hd, 〈l〉, and rΘ on QST,s, and QST,u obtained from a multivariate regression model independently fitted for low and high migration regimes on average results from 5 replicate simulations of the IBM on all undirected connected graphs with M = 7 vertices and varying rΘ (see Methods). The ambivalence of the effect of rΘ on QST,u found for the path graph holds for general graph ensembles and adds up to that of 〈l〉 and hd. Error bars show 95% confidence intervals. Analogous results on graphs with M = 9 vertices are presented in Supplementary Fig. 7 and all regression details can be found in Supplementary Table 3.
