Hostname: page-component-cd9895bd7-p9bg8 Total loading time: 0 Render date: 2024-12-26T03:59:02.477Z Has data issue: false hasContentIssue false
  • English
  • Français

Fixation probability of a mutant influenced by random fluctuation of selection intensity*

Published online by Cambridge University Press:  14 April 2009

Tomoko Ohta
Tomoko Ohta
Affiliation:
National Institute of Genetics, Mishima, Japan
Rights & Permissions [Opens in a new window]

Summary

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

The probability of fixation of a mutant gene in a finite population was investigated by taking into account the effect of random fluctuation of selection intensity. It was shown that not only the product of the effective population number and average selection coefficient (Nes) is important, but also the ratio of the mean and the variance of selection coefficient (s/ Vs) has an important influence on fixation probability. In particular, when this ratio is small, a mutant gene, even if selected against, becomes fixed in the population like a selectively neutral mutant. In general, when random fluctuation of selection intensity is not negligible it may be convenient to use ‘effective selection coefficient’. The bearing of the present findings on the neutral mutation-random drift theory of evolution and variation at the molecular level was discussed.

Type
Research Article
Information
Genetics Research , Volume 19 , Issue 1 , February 1972 , pp. 33 - 38
Copyright
Copyright © Cambridge University Press 1972

References

REFERENCES

Crow, J. F. (1971). Darwinian and non-Darwinian evolution. Proceedings of the 6th Berkeley Symposium on Mathematical Statistics and Probability (in the Press).Google Scholar
Kimura, M. (1957). Some problems of stochastic processes in genetics. Annals of Mathematical Statistics 28, 882–901.Google Scholar
Kimura, M. (1962). On the probability of fixation of mutant genes in a population. Genetics 47, 713–719.Google Scholar
Kimura, M. (1968). Evolutionary rate at the molecular level. Nature 217, 624–626.Google Scholar
Kimura, M. (1969). The rate of molecular evolution considered from the standpoint of population genetics. Proceedings of the National Academy of Sciences of the U.S.A. 63, 1181–1188.Google Scholar
Kimura, M. & Ohta, T. (1971). Protein polymorphism as a phase of molecular evolution. Nature 229, 467–469.Google Scholar
King, J. L. & Jukes, T. H. (1969). Non-Darwinian evolution: Random fixation of selectively neutral mutations. Science 164, 788–798.Google Scholar
Ohta, T. & Kimura, M. (1971 a). On the constancy of the evolutionary rate of cistrons. Journal of Molecular Evolution (in the Press).Google Scholar
Ohta, T. & Kimura, M. (1971 b). Genetic load due to mutations with very small effects. Japanese Journal of Genetics (in the Press).Google Scholar
Robertson, A. (1960). A theory of limits in artificial selection. Proceedings of the Royal Society B 153, 234–249.Google Scholar
Robertson, A. (1962). Selection for heterozygotes in small populations. Genetics 47, 1291–1300.Google Scholar