On the genealogy of nested subsamples from a haploid population
Open Access
- 1 September 1984
- journal article
- Published by Cambridge University Press (CUP) in Advances in Applied Probability
- Vol. 16 (3) , 471-491
- https://doi.org/10.2307/1427285
Abstract
For the haploid genetic model of Moran, the joint distribution of the numbers of distinct ancestors of a collection of nested subsamples is derived. These results are shown to apply to the diffusion approximations of a wide variety of other genetic models, including the Wright–Fisher process. The results allow us to relate the ancestries of populations sampled at different times. Analogous results for a line-of-descent process that incorporates the effect of mutation are given. Some results about the ages of alleles in an infinite-alleles model are described.Keywords
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