alexa Stepwise mutation model and distribution of allelic frequencies in a finite population.

Journal of Primatology

Author(s): Kimura M, Ohta T, Kimura M, Ohta T

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Abstract A mathematical theory is developed that enables us to derive a formula for the equilibrium distribution of allelic frequencies in a finite population when selectively neutral alleles are produced in stepwise fashion (stepwise mutation model). It is shown that the stepwise mutation model has a remarkable property that distinguishes it from the conventional infinite allele model (Kimura-Crow model): as the population size increases indefinitely while the product of the effective population size and the mutation rate is kept at a fixed value, the mean number of different alleles contained in the population rapidly reaches a plateau which is not much larger than the effective number of alleles (reciprocal of homozygosity).
This article was published in Proc Natl Acad Sci U S A and referenced in Journal of Primatology

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