Hostname: page-component-8448b6f56d-c4f8m Total loading time: 0 Render date: 2024-04-19T12:51:42.309Z Has data issue: false hasContentIssue false
  • English
  • Français

A note on the diffusion approximation for the variance of the number of generations until fixation of a neutral mutant gene

Published online by Cambridge University Press:  14 April 2009

P. Narain
P. Narain
Affiliation:
Institute of Animal Genetics, Edinburgh, U.K.
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.

A general expression is derived for the variance of time to fixation of a neutral gene in a finite population using a diffusion approximation. The results are compared with exact values derived by matrix methods for a population size of 8.

Type
Short Papers
Information
Genetics Research , Volume 15 , Issue 2 , April 1970 , pp. 251 - 255
Copyright
Copyright © Cambridge University Press 1970

References

REFERENCES

Abramowitz, M. & Stegun, I. A. Ed. (1965). Handbook of Mathematical Functions. Dover Publications, New York.Google Scholar
Ewens, W. J. (1963). Numerical results and diffusion approximations in a genetic process. Biometrika 50, 241–249.Google Scholar
Kimura, M. (1962). On the probability of fixation of mutant genes in a population. Genetics 47, 713–719.Google Scholar
Kimura, M. & Crow, J. F. (1963). The measurement of effective population number. Evolution 17, 279–288.CrossRefGoogle Scholar
Kimura, M. & Ohta, T. (1969). The average number of generations until fixation of a mutant gene in a finite population. Genetics 61, 763–771.Google Scholar
Narain, P. (1969). Response to selection in finite populations. Ph.D. thesis, Edinburgh University.Google Scholar
Watterson, G. (1961). Markov chains with absorbing states (a genetic example). Ann. Math. Statist. 32, 716–729.CrossRefGoogle Scholar
Watterson, G. (1962). Some theoretical aspects of diffusion theory in population genetics. Ann. Math. Statist. 33, 939–957.Google Scholar