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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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Summary

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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

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