Conditional genealogies and the age of a neutral mutant

Carsten Wiuf*, Peter Donnelly

*Corresponding author for this work
51 Citations (Scopus)

Abstract

This paper is concerned with the structure of the genealogy of a sample in which it is observed that some subset of chromosomes carries a particular mutation, assumed to have arisen uniquely in the history of the population. A rigorous theoretical study of this conditional genealogy is given using coalescent methods. Particular results include the mean, variance, and density of the age of the mutation conditional on its frequency in the sample. Most of the development relates to populations of constant size, but we discuss the extension to populations which have grown exponentially to their present size.

Original languageEnglish
JournalTheoretical Population Biology
Volume56
Issue number2
Pages (from-to)183-201
Number of pages19
ISSN0040-5809
DOIs
Publication statusPublished - 1 Jan 1999
Externally publishedYes

Keywords

  • Age of allele
  • Coalescent model
  • Conditional genealogies

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