The maximum non-unit eigenvalue for the Wright-Fisher model of random genetic drift incorporating selection |
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Authors: | Trevor F. Cox Michael A.A. Cox |
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Affiliation: | 1. Department of Statistics, University of Newcastle upon Tyne, Newcastle upon Tyne, England;2. Department of Engineering Mathematics, University of Newcastle upon Tyne, Newcastle upon Tyne, England |
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Abstract: | The largest non-unit eigenvalue λ of the transition matrix for the Wright-Fisher Markov chain model of random genetic drift is found numerically with selective advantages of genotypes taken into account. Polynomials in the selection coefficients are fitted to λ in order to summarize the behaviour of λ with varying selection. Also found are the values of the selective advantages which give rise to an acceleration to the rate of fixation of alleles. These values are compared to results for the diffusion approximation to the Wright-Fisher model. |
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