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The distribution of the coalescence time and the number of pairwise nucleotide differences in the “isolation with migration†model

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  • Wilkinson-Herbots, Hilde M.

Abstract

This paper is concerned with the “isolation with migration†model, where a panmictic ancestral population gave rise to a symmetric n-island model, time τ ago. Explicit analytical expressions are derived for the probability density function of the coalescence time of a pair of genes sampled at random from the same subpopulation or from different subpopulations, and for the probability distribution of the number of pairwise nucleotide differences.

Suggested Citation

  • Wilkinson-Herbots, Hilde M., 2008. "The distribution of the coalescence time and the number of pairwise nucleotide differences in the “isolation with migration†model," Theoretical Population Biology, Elsevier, vol. 73(2), pages 277-288.
    • Handle: RePEc:eee:thpobi:v:73:y:2008:i:2:p:277-288
    DOI: 10.1016/j.tpb.2007.11.001
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    Cited by:

    1. Wilkinson-Herbots, Hilde M., 2012. "The distribution of the coalescence time and the number of pairwise nucleotide differences in a model of population divergence or speciation with an initial period of gene flow," Theoretical Population Biology, Elsevier, vol. 82(2), pages 92-108.
    2. Costa, Rui J. & Wilkinson-Herbots, Hilde M., 2021. "Inference of gene flow in the process of speciation: Efficient maximum-likelihood implementation of a generalised isolation-with-migration model," Theoretical Population Biology, Elsevier, vol. 140(C), pages 1-15.
    3. Kumagai, Seiji & Uyenoyama, Marcy K., 2015. "Genealogical histories in structured populations," Theoretical Population Biology, Elsevier, vol. 102(C), pages 3-15.

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