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

Existence of steady-state probability distributions in multilocus models for genotype evolution (Q1069880)

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scientific article; zbMATH DE number 3932844
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English
Existence of steady-state probability distributions in multilocus models for genotype evolution
scientific article; zbMATH DE number 3932844

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    Existence of steady-state probability distributions in multilocus models for genotype evolution (English)
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    1986
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    It is shown that a representative Fisher-Wright model with n(\(\geq 3)\) 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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    genotype evolution
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    Kolmogorov equation
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    Fisher-Wright model
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    diallelic loci
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    necessary condition for existence of a time-independent steady- state probability distribution
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    global integral
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    phenotype fitness functions of natural selection
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    genetic drift
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