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Sequence diversity under the multispecies coalescent with Yule process and constant population size

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  • Heled, Joseph

Abstract

The study of sequence diversity under phylogenetic models is now classic. Theoretical studies of diversity under the Kingman coalescent appeared shortly after the introduction of the coalescent. In this paper we revisit this topic under the multispecies coalescent, an extension of the single population model to multiple populations. We derive exact formulas for the sequence dissimilarity of two sequences drawn at random under a basic multispecies setup. The multispecies model uses three parameters—the species tree birth rate under the pure birth process (Yule), the species effective population size and the mutation rate. We also discuss the effects of relaxing some of the model assumptions.

Suggested Citation

  • Heled, Joseph, 2012. "Sequence diversity under the multispecies coalescent with Yule process and constant population size," Theoretical Population Biology, Elsevier, vol. 81(2), pages 97-101.
  • Handle: RePEc:eee:thpobi:v:81:y:2012:i:2:p:97-101
    DOI: 10.1016/j.tpb.2011.12.007
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    References listed on IDEAS

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    1. Ian J. Wilson & Michael E. Weale & David J. Balding, 2003. "Inferences from DNA data: population histories, evolutionary processes and forensic match probabilities," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 166(2), pages 155-188, June.
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