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. 2011 Nov 3;7(11):e1002260. doi: 10.1371/journal.pcbi.1002260

Figure 3. Fixation becomes unlikely with decreasing fitness of mutant homozygotes, variance in allele frequency increases with migration rate.

Figure 3

a) The ratio of fixation to loss of the mutant allele in a system of two populations of sizes Inline graphic is shown as a function of the difference of homozygote fitness values Inline graphic, with initial condition Inline graphic, Inline graphic. Results are obtained from Inline graphic independent realizations with a heterozygote fitness of Inline graphic. As Inline graphic approaches Inline graphic, the probability of fixation in both patches goes to zero. b) For four different scenarios of homozygote fitness Inline graphic and migration rate Inline graphic we show the quasi-stationary distribution of the number of mutant alleles in population 1 (Inline graphic, Inline graphic independent realizations with initial conditions Inline graphic). The average number of mutants in population Inline graphic is denoted by Inline graphic, the standard deviation by Inline graphic. As homozygotes become less fit, the distribution does not change significantly. However, Inline graphic increases with migration rate.