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Existence of steady-state probability distributions in multilocus models for genotype evolution

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Abstract

It is shown that a representative Fisher-Wright model withn(≥3) diallelic loci admits a necessary condition for existence of a time-independent steady-state probability distribution. This necessary condition states that a global integral depending on the phenotype fitness functions of natural selection must be larger than a certain quantity depending on the parameters associated with genetic drift.

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Authors and Affiliations

  1. Department of Physics, Drexel University, 19104, Philadelphia, PA, U.S.A.

    Gerald Rosen

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  1. Gerald Rosen
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Rosen, G. Existence of steady-state probability distributions in multilocus models for genotype evolution. Bltn Mathcal Biology 48, 87–95 (1986). https://doi.org/10.1007/BF02460064

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  • DOI: https://doi.org/10.1007/BF02460064

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