The average number of sites separating DNA sequences drawn from a subdivided population
type: Item
instance of: scholarly article
title: The average number of sites separating DNA sequences drawn from a subdivided population
zbMATH Open document ID: 0614.92010
DOI: 10.1016/0040-5809(87)90038-4
author: Montgomery Slatkin
published in: Theoretical Population Biology
publication date: 1987-01-01T00:00:00Z
review text: The ''infinite sites model'' in the absence of recombination is examined in a subdivided population in which there is arbitrary migration among demes. It is shown that, if the migration matrix is symmetric and irreducible, the average number of sites that differ in two alleles chosen from the same deme depends only on an effective size of the whole population and not on either the elements of the migration matrix or the size of each deme separately. If there are n demes all of size N, the average number of sites that differ in two alleles chosen from the same deme is 4nN\(\mu\), where \(\mu\) is the average mutation rate per site. This is the same value as for two alleles drawn from a panmictic population of size nN. The average number of sites that differ in alleles drawn from the same and from different demes can provide some information about the degree of population subdivision, as is illustrated by using the data of \textit{M. Kreitman} and \textit{M. Aquadé} [Proc. Natl. Acad. Sci. USA 83, 3562-3566 (1986)] on Drosophila melanogaster.
Mathematics Subject Classification ID: 92D10
zbMATH DE Number: 3995498
zbMATH Keywords: infinite sites model
zbMATH Keywords: subdivided population
zbMATH Keywords: arbitrary migration among demes
zbMATH Keywords: migration matrix
zbMATH Keywords: average mutation rate per site
zbMATH Keywords: panmictic population
zbMATH Keywords: degree of population subdivision
MaRDI profile type: Publication
full work available at URL: 0040-5809(87)90038-4
OpenAlex ID: W1982509571
Wikidata QID: Q46919832
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cites work: Q5668282
cites work: On the number of segregating sites in genetical models without recombination
description: scientific article; zbMATH DE number 3995498