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The rate of selection advance for non-additive loci

  • W. G. Hill (a1)

Extract

Expected changes in the gene frequency and the population mean for a quantitative trait are described for selection in a population of size N at a single locus where the favoured allele has initial frequency q0 and selective value s. Models of additive and completely dominant gene action are compared. Results are generally expressed as the half-life of the total change relative to N.

If the favoured allele is additive or recessive the half-life of the gene frequency and mean of the trait are usually reduced when q0 or Ns is increased. However, if the dominant allele is favoured the half-life of gene frequency is still generally reduced as Ns is increased, but has a minimum at low or intermediate values of q0. Since inbreeding depression and selection oppose each other when the dominant allele is favoured the response in the mean of the quantitative trait may change in direction during selection.

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References

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Griffing, B. (1960). Theoretical consequences of truncation selection based on the individual phenotype. Aust. J. biol. Sci. 13, 307343.
Hill, W. G. (1969). On the theory of artificial selection in finite populations. Genet. Res. 13, 143163.
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Hill, W. G. & Robertson, A. (1968). The effects of inbreeding at loci with heterozygote advantage. Genetics 60, (in Press).
Kojima, K. (1961). Effects of dominance and size of population on response to mass selection. Genet. Res. 2, 177188.
Latter, B. D. H. (1966). The response to artificial selection due to autosomal genes of large effect. III. The effects of linkage on the rate of advance and approach to fixation in finite populations. Aust. J. biol. Sci. 19, 131146.
Roberts, R. C. (1966). The limits to artificial selection for body weight in the mouse. I. The limits attained in earlier experiments. Genet. Res. 8, 347360.
Robertson, A. (1952). The effect of inbreeding on the variation due to recessive genes. Genetics 37, 189207.
Robertson, A. (1960). A theory of limits in artificial selection. Proc. R. Soc. B 153, 234249.

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