Human population genetics by John H. Relethford

Author:John H. Relethford
Language: eng
Format: epub
Publisher: John Wiley & Sons
Published: 2012-02-12T16:00:00+00:00

In this case, the fitness of the recessive homozygote is reduced by the quantity s relative to the other two genotypes. We now plug these values into equations (6.1)–(6.5) to obtain equations that describe the effect of selection against recessive homozygotes. The mean fitness, obtained from equation (6.1), is

which gives

6.6

(see Appendix 6.7 for the complete derivation). We can see that the higher the frequency of the a allele (q) and/or the higher the amount of selection against the recessive homozygote (s), the lower the mean fitness. Mean fitness will be highest when q = 0 (i.e., the harmful allele has been eliminated from the population).

We can see the impact of selection on the frequency of the a allele by plugging in the fitness values above into equation (6.3), which gives

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