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On the Genealogy of Nested Subsamples from a Haploid Population

Ian W. Saunders, Simon Tavaré and G. A. Watterson
Advances in Applied Probability
Vol. 16, No. 3 (Sep., 1984), pp. 471-491
DOI: 10.2307/1427285
Stable URL: http://www.jstor.org/stable/1427285
Page Count: 21
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
On the Genealogy of Nested Subsamples from a Haploid Population
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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.

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