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The dispersion of a neutral allele considered as a branching process

Published online by Cambridge University Press:  14 July 2016

Kenny S. Crump  and
John H. Gillespie
Kenny S. Crump*
Affiliation:
National Institute of Environmental Health Sciences, National Institutes of Health
John H. Gillespie
Affiliation:
National Institute of Environmental Health Sciences, National Institutes of Health
*
*On leave from Louisiana Tech University.
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Abstract

The spatial dispersion of a neutral allele is described using the theory of multitype branching processes in which the types represent colonies between which individuals can migrate. Each mutant individual averages less than one offspring, so the mutant population faces certain extinction. Expressions are given for the first two moments of the total number of individuals to visit specified colonies in one, two and three dimensions. Data from Drosophila populations are used to show the improbability of the same neutral allele occurring at widely separated localities.

Keywords

NEUTRAL ALLELEBRANCHING PROCESSMIGRATION
Type
Research Papers
Information
Journal of Applied Probability , Volume 13 , Issue 2 , June 1976 , pp. 208 - 218
Copyright
Copyright © Applied Probability Trust 1976 

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