Fig. 2: Analytical and numerical solutions of the macroscopic model.
From: Selective sweep probabilities in spatially expanding populations
Probability density of the wildtype population radius at the time the first surviving mutant arises (dark curves) and of the distance between the origins of the mutant and wildtype expansions (light curves) in one dimension (A), two dimensions (B) and three dimensions (C). D Approximate and exact solutions for the sweep probability conditioned on the wildtype population radius. E Approximate and exact solutions for the unconditional sweep probability. F Approximate and exact solutions for the probability density of the wildtype population radius at the time the first surviving mutant arises, conditioned on this mutant achieving a selective sweep. Except where parameter values are explicitly varied, we set \({c}_{{{{\rm{wt}}}}}=0.15,\widetilde{\mu }=1{0}^{-5},\rho=0.23\) and cm = 0.31. Formulas for all curves are summarised in Supplementary Table S1.
