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On the fixation probability of mutant genes in a subdivided population*

Published online by Cambridge University Press:  14 April 2009

Takeo Maruyama
Affiliation:
National Institute of Genetics, Mishima, Japan
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Summary

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Following Moran's (1962) method, it was shown that the fixation probability of a mutant gene is not altered by the subdivision of a population into partially isolated colonies, if the following conditions are met; fitness is additive, samplings and selection is done separately in each colony, and migration between colonies does not change the gene frequency in the whole population. This conclusion was checked by simulation experiments.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1970

References

REFERENCES

Hill, W. G. & Robertson, A. (1966). The effect of linkage on limits to artificial selection. Genet. Bes. 8, 269294.Google ScholarPubMed
Kimura, M. (1957). Some problems of stochastic processes in genetics. Ann. Math. Statist. 28, 882901.CrossRefGoogle Scholar
Kimura, M. (1962). On the probability of fixation of mutant genes in a population. Genetics, Princeton 47, 713719.CrossRefGoogle ScholarPubMed
Kimura, M. & Ohta, T. (1969). The average number of generations until fixation of a mutant gene in a finite population. Genetics, Princeton 61, 763771.CrossRefGoogle Scholar
Moran, P. A. P. (1962). The Statistical Process of Evolutionary Theory. Oxford: Clarendon Press.Google Scholar
Ohta, T. (1968). Effect of initial linkage disequilibrium and epistasis on fixation probability in small population, with two segregating loci. Theor. and Appl. Genetics 38, 243248.CrossRefGoogle ScholarPubMed
Robertson, A. (1960). A theory of limits in artificial selection. Proc. Roy. Soc. Lond. B 153, 234249.Google Scholar