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Distribution of the number of alleles in multigene families

Published online by Cambridge University Press:  14 July 2016

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

The distribution of the number of alleles in samples from r chromosomes is studied. The stochastic model used includes gene conversion within chromosomes and mutation at loci on the chromosomes. A method is described for simulating the distribution of alleles and an algorithm given for computing lower bounds for the mean number of alleles.

A formula is derived for the expected number of samples from r chromosomes which contain the allele type of a locus chosen at random.

Keywords

CHROMOSOMESGENE CONVERSIONPOPULATION GENETICS

MSC classification

Primary: 92D10: Genetics
Type
Research Papers
Information
Journal of Applied Probability , Volume 29 , Issue 4 , December 1992 , pp. 759 - 769
Copyright
Copyright © Applied Probability Trust 1992 

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