Motion, fixation probability and the choice of an evolutionary process
Fig 4
Significance of the degree of the initial mutant.
The upper panel shows the degree distribution, pk, of the ensemble of connected random geometric graphs (CRGGs), obtained by placing N = 100 individuals into the spatial domain 0 ≤ x, y ≤ 1 with uniform distribution, and using an interaction radius R = 0.11 and periodic boundary conditions. The lower panel shows the fixation probability obtained from simulating the evolutionary process on these graphs, as a function of the degree of the initial mutant. For the two death-birth processes the mutant’s success is below the one on a complete graph if its degree is low, and above ϕCG at high connectivity. The reverse is found for the two birth-death processes. Data points have been connected as a visual guide.