Conditional Genealogies and the Age of a Neutral Mutant

Carsten Wiuf; P Donelly

doi:10.1006/tpbi.1998.1411

Conditional Genealogies and the Age of a Neutral Mutant

Carsten Wiuf, P Donelly

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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 language	English
Journal	Theoretical Population Biology
Volume	56
Issue	2
Pages (from-to)	183-201
Number of pages	19
ISSN	0040-5809
DOIs	https://doi.org/10.1006/tpbi.1998.1411
Publication status	Published - 1999

Keywords

age of allele; coalescent model; conditional genea

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AB - 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.

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DO - 10.1006/tpbi.1998.1411

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Conditional Genealogies and the Age of a Neutral Mutant

Abstract

Keywords

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