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Mutant substitutions at linked nucleotide sites

Published online by Cambridge University Press:  01 July 2016

G. A. Watterson
G. A. Watterson*
Affiliation:
Monash University
*
∗Postal address: Department of Mathematics, Monash University, Clayton, VIC 3168, Australia.
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Abstract

Approximate results are obtained for the probability distribution of the number of mutant substitutions over a given number of generations. The distribution is a compound Poisson distribution having a variance which is greater than the mean. The substitutions occur in clusters. The most extreme case of clustering is studied in this paper, which assumes that there is no recombination between mutant nucleotides.

Keywords

POISSON PROCESSCLUSTER PROCESSINFINITELY-MANY-SITES MODELWRIGHT-FISHER MODELDIFFUSION APPROXIMATIONS
Type
Research Article
Information
Advances in Applied Probability , Volume 14 , Issue 2 , June 1982 , pp. 206 - 224
Copyright
Copyright © Applied Probability Trust 1982 

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