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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
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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