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On Kimura's maximum principle in the genetical theory of natural selection

Published online by Cambridge University Press:  01 July 2016

A. W. F. Edwards
A. W. F. Edwards*
Affiliation:
University of Cambridge
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Extract

In 1958 Kimura introduced his Maximum Principle in the Genetical Theory of Natural Selection, which has since been described in several books (Ewens (1969), Crow and Kimura (1970), Kojima (1970)). I shall use Ewens' notation and treatment which, although it uses the discrete-generation model, is formally equivalent to Kimura's continuous-time treatment.

Type
Research Article
Information
Advances in Applied Probability , Volume 6 , Issue 1 , March 1974 , pp. 10 - 13
Copyright
Copyright © Applied Probability Trust 1974 

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References

Crow, J. F. and Kimura, M. (1970) An Introduction to Population Genetics Theory. Harper and Row, New York.Google Scholar
Ewens, W. J. (1969) Population Genetics. Methuen, London.CrossRefGoogle Scholar
Kimura, M. (1958) On the change of population fitness by natural selection. Heredity 12, 145–167.CrossRefGoogle Scholar
Kojima, K. (ed) (1970) Mathematical Topics in Population Genetics. Springer, Berlin.CrossRefGoogle Scholar