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Distribution of linkage disequilibrium with selection and finite population size

Published online by Cambridge University Press:  14 April 2009

P. J. Avery  and
W. G. Hill
P. J. Avery
Affiliation:
Institute of Animal Genetics, West Mains Road, Edinburgh EH9 3JN†
W. G. Hill
Affiliation:
Institute of Animal Genetics, West Mains Road, Edinburgh EH9 3JN†
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The effects of finite population size, occurring either as a bottleneck in a single generation followed by a large expansion or in all generations, are considered for models of two linked heterotic loci. Linkage is assumed to be tight because it is required if there is to be stable linkage disequilibrium, D ǂ 0, in infinitely large populations. (D is the difference between gamete frequencies and the product of the gene frequencies.)

If a substantial perturbation of frequencies occurs as a result of a bottleneck but the population is subsequently very large, D may take hundreds of generations to return to its stable point. In finite populations, the distribution of D can be ⋃-shaped, unimodal or bimodal. The correlation of D in successive generations is higher with tight linkage and is little affected by selection or the size of the population.

The utility of infinite population studies of linkage disequilibrium and its stable points is questioned, and considerable pessimism is expressed about the possibilities of distinguishing selection and sampling effects at linked loci.

Type
Research Article
Information
Genetics Research , Volume 33 , Issue 1 , February 1979 , pp. 29 - 48
Copyright
Copyright © Cambridge University Press 1979

References

REFERENCES

Avery, P. J. (1978). The effects of finite population size on models of linked overdominant loci. Genetical Research 31, 239–254.CrossRefGoogle Scholar
Bodmer, W. F. & Felsenstein, J. (1967). Linkage and selection: Theoretical analysis of the deterministic two-locus random-mating model. Genetics 57, 237–265.CrossRefGoogle ScholarPubMed
Clegg, M. T. (1978). Dynamics of correlated genetic systems: II. Simulation studies of chromosomal segments under selection. Theoretical Population Biology 13, 1–23.CrossRefGoogle ScholarPubMed
Crow, J. F. & Kimura, M. (1970). An Introduction to Population Genetics Theory. New York, Evanston and London: Harper and Row.Google Scholar
Ewens, W. J. (1977). Population genetics theory in relation to the neutralist selectionist controversy. Advances in Human Genetics 8, 67–134.Google Scholar
Felsenstein, J. (1974). Uncorrelated genetic drift of gene frequencies and linkage disequilibrium in some models of linked overdominant polymorphisms. Genetical Research 24, 281–294.CrossRefGoogle ScholarPubMed
Franklin, I. & Lewontin, R. C. (1970). Is the gene the unit of selection? Genetics 65, 707–734.CrossRefGoogle ScholarPubMed
Hedrick, P., Jain, S. & Holden, L. (1978). Multi-locus systems in evolution. (In the Press.)Google Scholar
Hill, W. G. & Robertson, A. (1968). Linkage disequilibrium in finite populations. Theoretical and Applied Genetics 38, 226–231.CrossRefGoogle ScholarPubMed
Karlin, S. (1975). General two-locus selection models: some objectives, results and interpretations. Theoretical Population Biology 7, 364–398.CrossRefGoogle ScholarPubMed
Karlin, S. & Carmelli, D. (1975). Numerical studies on two loci selection models with general viabilities. Theoretical Population Biology 7, 399–421.CrossRefGoogle ScholarPubMed
Langley, C. H. (1977). Non-random association between allozymes in natural populations of Drosophila melanogaster. Measuring Selection in Natural Populations (ed. Christiansen, F. B. and Fenchel, T. M.), pp. 265–274. Lecture Notes in Biomathematics, no. 19. Berlin, Heidelberg and New York: Springer-Verlag.CrossRefGoogle Scholar
Lewontin, R. C. (1974). The Genetic Basis of Evolutionary Change. New York and London: Columbia University Press.Google Scholar
Lewontin, R. C. & Kojima, K. (1960). The evolutionary dynamics of complex polymorphisms. Evolution 14, 458–472.Google Scholar
Sved, J. A. (1968). The stability of linked systems of loci with a small population size. Genetics 59, 543–563.CrossRefGoogle ScholarPubMed
Thomson, G. (1977). The effect of a selected locus on linked neutral loci. Genetics 85, 753–788.CrossRefGoogle ScholarPubMed
Wright, S. (1938). The distribution of gene frequencies under irreversible mutation. Proceedings of the National Academy of Sciences, U.S.A. 24, 253–259.CrossRefGoogle ScholarPubMed