Simulated sample paths for the Eldon-Wakeley Process (panels A and B), and the variance-equivalent Moran processes (panels C and D), with and without selection. Parameters are N = 2000, γ = 1, λ = 0.25. (A and C) β = 0; (B and D) β = 0.5. Note the large difference in fixation probability between the Eldon–Wakeley and Moran models with selection: fixation probability = 1 in panel B, and fixation probability = 0.55 in panel D.
Fixation probability of an advantageous mutant as a function of its initial frequency, for various population sizes. Blue curves, bottom to top: Eldon–Wakeley model (γ - 1, λ - 0.5) with N - 64, 128, 256, 512, 1024, 2048. Red curves: variance-equivalent Moran models at the same population sizes. Black curve: Kimura’s classical expression for the fixation probability, derived by the diffusion approximation to the Moran model. Scaled selection pressure is fixed at β - 0.5.
Fixation probabilities of a new mutant as a function of population size. Blue: Eldon–Wakeley model (γ = 1.1, λ = 0.5). Red: variance-equivalent Moran model. Black: Kimura’s classical expression for the fixation probability, derived by the diffusion approximation to the Moran model. Selection pressure is fixed at s = 1.