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Random mating in a population of cyclic size

Published online by Cambridge University Press:  14 July 2016

A. B. Chia
A. B. Chia*
Affiliation:
Monash University
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Abstract

The well-known Wright's genetic model is extended to a population whose size varies cyclically. Explicit expressions are obtained for the absorption probability and the rate of approach to homozygosity in the case where there is no selection. When selection operates, diffusion approximations are obtained for the various quantities of interest.

Type
Research Papers
Information
Journal of Applied Probability , Volume 5 , Issue 1 , April 1968 , pp. 21 - 30
Copyright
Copyright © Sheffield: Applied Probability Trust 

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References

Elton, C. (1924) Periodic fluctuations in the number of animals: their causes and effects. J. Exper. Biol. 2, 119–163.Google Scholar
Ewens, W. J. (1963) The diffusion equation and a pseudo-distribution in genetics. J.R. Statist. Soc. B22, 405–412.Google Scholar
Feller, W. (1951) Diffusion processes in genetics. Proc. Second Berkeley Symposium on Mathematical Statistics and Probability 227–246.Google Scholar
Kimura, M. (1964) Diffusion models in population genetics. J. Appl. Prob. 1, 177–232.CrossRefGoogle Scholar
Li, C. C. (1955) Population Genetics. University of Chicago Press.Google Scholar
Malécot, G. (1944) Sur une problème de probabilité en chaîne que pose la génétique. C.R. Acad. Sci. Paris 219, 279–281.Google Scholar
Wright, S. (1931) Evolution in Mendelian populations. Genetics 16, 97–159.Google Scholar