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The number of alleles and segregating sites in a sample from the infinite-alleles model

Published online by Cambridge University Press:  01 July 2016

R. C. Griffiths
R. C. Griffiths*
Affiliation:
Monash University
*
∗Postal address: Mathematics Department, Monash University, Clayton, VIC 3168, Australia.
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Abstract

A study is made of the joint distribution of the number of alleles and segregating sites in a random sample of genes from the infinite-alleles model of population genetics. Tables of the joint distribution are given for representative values of the mutation parameter. A conclusion is that each segregating site has a high probability of delineating an allele type.

Keywords

INFINITE-ALLELES MODELINFINITE-SITES MODELPOPULATION GENETICS
Type
Research Article
Information
Advances in Applied Probability , Volume 14 , Issue 2 , June 1982 , pp. 225 - 239
Copyright
Copyright © Applied Probability Trust 1982 

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References

Abramowitz, M. and Stegun, I. A. (1970) Handbook of Mathematical Functions. Dover, New York.Google Scholar
Ewens, W. J. (1972) The sampling theory of selectively neutral alleles. Theoret. Popn Biol. 3, 87–112.CrossRefGoogle ScholarPubMed
Ewens, W. J. (1979) Mathematical Population Genetics. Biomathematics 9, Springer-Verlag, Berlin.Google Scholar
Watterson, G. A. (1975) On the number of segregating sites in genetical models without recombination. Theoret. Popn Biol. 7, 256–276.CrossRefGoogle ScholarPubMed