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The age of a mutation in a general coalescent tree

The age of a mutation in a general coalescent tree Kimura and Ohta showed that the expected age of a neutral mutation observed to be of frequency x in a population is We put this classical result in a general coalescent process context that allows questions to be asked about mutations in a sample, as well as in the population. In the general context the population size may vary back in time. Assuming an infmitely-many-sites model of mutation, we find the distribution of the number of mutant genes at a particular site in a sample; the probability that an allele at that site of a given frequency is ancestral; the distribution of the age of a mutation given its frequency in a sample, or population; and the distribution of the time to the most recent common ancestor, given the frequency of a mutation in a sample, or in the population http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Communications in Statistics. Stochastic Models Taylor & Francis

The age of a mutation in a general coalescent tree

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References (15)

Publisher
Taylor & Francis
Copyright
Copyright Taylor & Francis Group, LLC
ISSN
0882-0287
DOI
10.1080/15326349808807471
Publisher site
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Abstract

Kimura and Ohta showed that the expected age of a neutral mutation observed to be of frequency x in a population is We put this classical result in a general coalescent process context that allows questions to be asked about mutations in a sample, as well as in the population. In the general context the population size may vary back in time. Assuming an infmitely-many-sites model of mutation, we find the distribution of the number of mutant genes at a particular site in a sample; the probability that an allele at that site of a given frequency is ancestral; the distribution of the age of a mutation given its frequency in a sample, or population; and the distribution of the time to the most recent common ancestor, given the frequency of a mutation in a sample, or in the population

Journal

Communications in Statistics. Stochastic Models – Taylor & Francis

Published: Jan 1, 1998

Keywords: Age of a mutation; Coalescent process; Population Genetics; Samples of DNA

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