Hostname: page-component-74656f9884-54qdv Total loading time: 0 Render date: 2026-11-10T13:10:51.861Z Has data issue: false hasContentIssue false
  • English
  • Français

Linkage disequilibrium due to random genetic drift*

Published online by Cambridge University Press:  14 April 2009

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

Extract

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 behaviour of linkage disequilibrium between two segregating loci in finite populations has been studied as a continuous stochastic process for different intensity of linkage, assuming no selection. By the method of the Kolmogorov backward equation, the expected values of the square of linkage disequilibrium z2, and other two quantities, xy(1 − x) (1 − y) and z(1 − 2x) (1 − 2y), were obtained in terms of T, the time measured in Ne as unit, and R, the product of recombination fraction (c) and effective population number (Ne). The rate of decrease of the simultaneous heterozygosity at two loci and also the asymptotic rate of decrease of the probability for the coexistence of four gamete types within a population were determined. The eigenvalues λ1, λ2 and λ3 related to the stochastic process are tabulated for various values of R = Nec.

Information

Type
Research Article
Information
Genetics Research , Volume 13 , Issue 1 , February 1969 , pp. 47 - 55
Copyright
Copyright © Cambridge University Press 1969

References

REFERENCES

Hill, W. G. & Robertson, A. (1966). The effect of linkage on limits to artificial selection. Genet. Res. 8, 269–294.CrossRefGoogle ScholarPubMed
Hill, W. G. & Robertson, A. (1968). Linkage disequilibrium in finite populations. Theor. Appl. Genet. 38, 226–231.CrossRefGoogle ScholarPubMed
Karlin, S. & Mcgregor, J. (1968). Rates and probabilities of fixation for two locus random mating finite populations without selection. Genetics 58, 141–159.CrossRefGoogle ScholarPubMed
Kimura, M. (1955). Solution of a process of random genetic drift with a continuous model. Proc. natn. Acad. Sci. U.S.A. 41, 144–150.Google Scholar
Kimura, M. (1956). A model of a genetic system which leads to closer linkage by natural selection. Evolution 10, 278–287.CrossRefGoogle Scholar
Kimura, M. (1957). Some problems of stochastic processes in genetics. Ann. Math. Statist. 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. (1963). A probability method for treating inbreeding systems, especially with linked genes. Biometrics 19, 1–17.CrossRefGoogle Scholar
Kimura, M. (1964). Diffusion models in population genetics. Jour. Applied Probability, 1, 177–232.CrossRefGoogle Scholar
Kimura, M. & Crow, J. F. (1963). The measurement of effective population number. Evolution 17, 279–288.CrossRefGoogle Scholar
Lewontin, R. C. & Kojima, K. (1960). The evolutionary dynamics of complex polymorphisms. Evolution 14, 458–472.Google Scholar
Ohta, T. (1968). Effect of initial linkage disequilibrium and epistasis on fixation probability in a small population, with two segregating loci. Theor. Appl. Genet. 38, 243–248.Google Scholar