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Monotonic Change of the Mean Phenotype in Two-Locus Models

Alan Hastings 1

1 Department of Mathematics and Division of Environmental Studies, University of California, Davis, California 95616

It is shown that the mean phenotype monotonically approaches the optimum in a class of symmetric, two-locus, two-allele models with stabilizing selection. In this model, mean fitness does not change monotonically. Thus, Fisher's fundamental theorem does not hold, even though another quantity of evolutionary interest, the mean phenotype, can be shown to change monotonically. Using this quantity, it is proven that global stability results for this model.

Submitted on April 27, 1987
Accepted on July 25, 1987




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R. Bürger and A. Gimelfarb
Genetic Variation Maintained in Multilocus Models of Additive Quantitative Traits Under Stabilizing Selection
Genetics, July 1, 1999; 152(2): 807 - 820.
[Abstract] [Full Text]


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Copyright © 1987 by the Genetics Society of America.