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Demographic effects on the rate of genetic evolution I. constant size populations with two genotypes

Published online by Cambridge University Press:  14 July 2016

A.B. Chia  and
G. A. Watterson
A.B. Chia
Affiliation:
Monash University, Victoria
G. A. Watterson
Affiliation:
Monash University, Victoria
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Summary

A model is constructed to describe the evolution of a monoecious haploid population in which the population of adults remains of constant size, but for which generations may be overlapping, family size distributions are to a considerable degree arbitrary, and differential survival rates may apply with respect to adult and young individuals. The eigenvalues of the transition probability matrix are obtained, and those which determine the rate of evolution are found as simple functions of mutation rates, the mean lifetime of an individual, and the variance of his viable offspring number. The model builds on, and includes as special cases, certain non-overlapping generation models of Wright (1931), Karlin and McGregor (1965), and an overlapping generation model of Moran (1958).

One of the secondary conclusions of the study is that for some models, when evolutionary rates are measured on a mean-lifetime scale, the more offspring that are produced at a mating season may slow down evolution when mutation is absent, but may speed it up if mutation is present.

Type
Research Papers
Information
Journal of Applied Probability , Volume 6 , Issue 2 , August 1969 , pp. 231 - 248
Copyright
Copyright © Sheffield: Applied Probability Trust 

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