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ibs results show that changes in the G-matrix orientation (A) underlie the direction of branching (B, C).

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posted on 2021-02-16, 18:51 authored by Gil Jorge Barros Henriques, Koichi Ito, Christoph Hauert, Michael Doebeli

Panels A and B correspond to 500 ibs replicates approaching the branching point from direction −3π/4 (i.e., from the bottom-left of the phenotype space). A: as the population approaches the branching point, the population’s phenotypic distribution becomes elongated along the direction that is perpendicular to movement. (In this case, the G-matrix orientation distribution becomes peaked at 3π/4, consistent with the second and third panels in Fig 4C.) B: Although there is high stochasticity, the G-matrix orientation prior to the onset of branching predicts the eventual direction of branching. The orange line and yellow confidence bands result from a linear regression modified to take into account the circular variable space. C: All else being equal, different G-matrix orientations cause different directions of branching. Each dark histogram shows the branching direction of 600 ibs replicates initialized at the branching point, with individuals drawn from a bivariate normal distribution with a positive (top) or negative (bottom) Pearson correlation coefficient (ρ). The light histograms are a mirror copy of the same data and are included for ease of visual interpretation. Parameters: n = 10, 000; σ = 2.5 × 10−5; for more parameters and details see Appendix A in S1 Text.