Existence of steady-state probability distributions in multilocus models for genotype evolution |
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Authors: | Gerald Rosen |
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Affiliation: | (1) Department of Physics, Drexel University, 19104 Philadelphia, PA, U.S.A. |
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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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