Fixation probabilities in a spatially heterogeneous environment |
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Authors: | S Gavrilets N Gibson |
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Institution: | (1) Department of Mathematics, Georgetown University, Washington, DC 20057, USA;(2) Present address: Raytheon Solipsys, 6100 Chevy Chase Dr. Suite 200, Laurel, MD 20707, USA; |
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Abstract: | We consider a simple model of a one-locus, two-allele population inhibiting a two-patch system and experiencing spatially
heterogeneous viability selection. The populaton size is finite. We use a diffusion approximation and singular perturbation
techniques to find the probability of fixation of a mutant allele. We focus on situations in which each allele is advantageous
in one patch and deleterious in the other patch. Our theoretical results support the previous conclusions that, under certain
conditions, small populations respond faster to selection than do large populations. We emphasize that knowledge of the dependence
of migration rates on population size is crucial in evaluating the effects of population size on the rate of evolution. |
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Keywords: | Key words Model Mathematical Selection Evolution Rate |
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