The Wright-Fisher model with temporally varying selection and population size |
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| Authors: | Peter Donnelly Neville Weber |
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| Affiliation: | (1) Department of Mathematics and Computer Science, University College of Swansea, Singleton Park, Swansea, Wales;(2) Department of Mathematical Statistics, The University of Sydney, Sydney, Australia |
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| Abstract: | The Wright-Fisher model is considered in the case where the population size is random and the magnitude of the selective advantage of one of the alleles varies with time. The central question addressed is the possibility of ultimate genetic polymorphism. Partial results are obtained in the general case and complete results in the case where the population size and selective advantage are not density dependent. Bounds on the fixation probability are obtained when the selective advantage is constant. |
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| Keywords: | Wright-Fisher model selective advantage ultimate homozygosity martingale methods coupling techniques fixation |
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