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The general relationship between average effect and average excess

Published online by Cambridge University Press:  14 April 2009

Alan R. Templeton
Alan R. Templeton
Affiliation:
Department of Biology, Washington University, St Louis, Missouri 63130, U.S.A.
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Summary

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The average effect and average excess both measure the phenotypic effects of gametes in a population. A matrix notation is introduced that provides a general analytical solution for the average effects at a single locus with k alleles that can be solved for any population regardless of its genotype frequencies. This same notation also provides an easy way of deriving and generalizing to k alleles the well-known relationships between average effects and average excesses that exist under random-mating and regular deviations from Hardy–Weinberg equilibrium due to inbreeding.

Type
Research Article
Information
Genetics Research , Volume 49 , Issue 1 , February 1987 , pp. 69 - 70
Copyright
Copyright © Cambridge University Press 1987

References

Ewens, W. J. (1979). Mathematical Population Genetics. Berlin: Springer-Verlag.Google Scholar
Falconer, D. S. (1985). A note on Fisher's ‘average effect’ and ‘average excess’. Genetical Research 46, 337–347.CrossRefGoogle ScholarPubMed
Fisher, R. A. (1930). The Genetical Theory of Natural Selection. Oxford: Clarendon Press.CrossRefGoogle Scholar