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Reversibility and the age of an allele. I. Moran's infinitely many neutral alleles model

, : Reversibility and the age of an allele. I. Moran's infinitely many neutral alleles model. Theoretical Population Biology 10(3): 239-253

A population of constant size is subjected to mutation, such that each mutant is of a new allelic type. For the particular population model studied in this paper, the age of an allele, whose present frequency is known, is a random variable with distribution independent of the frequencies of other alleles. As a consequence of reversibility of the population process, the age of an allele, from the past to the present, has the same distribution as its time to extinction, from the present into the future. This verifies, and re-interprets, certain diffusion approximations found by Kimura and Ohta [see ABA 42, 5638] and Maruyama [see ABA 42, 5646].


PMID: 1013904

DOI: 10.1016/0040-5809(76)90018-6

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