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Random processes in genetics

Published online by Cambridge University Press:  24 October 2008

P. A. P. Moran
P. A. P. Moran
Affiliation:
Australian National UniversityCanberra, A.C.T.Australia
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Abstract

Wright's model of a random process in genetica is modified by supposing that births and deaths occur individually at random so that the generations are no longer simultaneous. An exact solution is then obtained for the distribution of the number of a-genes in a haploid organism when mutation is occurring in both directions. When there is no mutation, the rate of approach to homozygosity is found in more complicated models with two sexes and diploid individuate. This rate is twice that occurring in Wright's models.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 54 , Issue 1 , January 1958 , pp. 60 - 71
Copyright
Copyright © Cambridge Philosophical Society 1958

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References

REFERENCES

(1)Feller, W. Diffusion processes in genetics. Proceedings of the Second Berkeley Symposium on Mathematical Statistics and Probability (Berkeley, 1951).Google Scholar
(2)Wright, S. Statistical Genetics in relation to Evolution. Actualités Sci. no. 802 (Paris, 1939).Google Scholar
(3)Wright, S.Ann. Eugen., Lond., 15 (1950), 323–54.CrossRefGoogle Scholar