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The survival of a mutant gene under selection

Published online by Cambridge University Press:  09 April 2009

P. A. P. Moran
P. A. P. Moran
Affiliation:
Australian National University, Canberra.
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Abstract

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The problem of the survival of a single mutant in a haploid genetic population when there exists selection is considered for a type of population model in which the generations ar overlapping. The results are compared with the previous work of Fisherand others for other models. The need is stressed for a solution of the same problem in a diploid population with general phenotypic selection coefficients.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 1 , Issue 1 , August 1959 , pp. 121 - 126
Copyright
Copyright © Australian Mathematical Society 1959

References

[1]Crow, J. F. and Kimura, M., Some genetic problems in natural populations. Proceedings of the Third Berkeley Symposium on Mathematical Statistics and Probability. University of California Press. (1956).Google Scholar
[2]Feller, W., An Introduction to Probability Theory and its Applications. J. Wiley. New York (1957).Google Scholar
[3]Fisher, R. A., The Genetical Theory of Natural Selection. Clarendon Press. Oxford (1930).CrossRefGoogle Scholar
[4]Fisher, R. A., Stage of developments as a factor influencing the variance in the number of offspring, frequency of mutants and related quantities. Ann. Eugenics. 9 (1939), 406–408.CrossRefGoogle Scholar
[5]Haldane, J. B. S., The equilibrium between mutation and random extinction. Ann. Eugenics 9 (1939), 400–405.CrossRefGoogle Scholar
[6]Moran, P. A. P., Random processes in genetics. Proc. Cam. Phil. Soc. 54 (1959), 60–71.CrossRefGoogle Scholar
[7]Wright, S. and Kerr, W. E.Experimental studies of the distribution of gene frequencies in very small populations of Drosophila melanogaster, II. Bar. Evolution 8 (1954), 225–240.CrossRefGoogle Scholar