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Forward and reverse response to artificial selection

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Summary

The effect of t ′ generations of reverse selection after t generations of forward selection can be described by expressing the change in the metric mean resulting from reverse selection (R) interms ofthe change in the metric mean due to the previous forward selection (Δx). An additive model of artificial selection in a population of effective size N with no natural selection has been considered.

If reverse selection is continued for as many generations as the previous forward selection (t′=t), then the ratio R/Δx equals 1 − F where F is the inbreeding coefficient for a neutral locus at generation t and is estimated as [1−(1−1/2N)t]. The result of a single generation of reverse selection (t′=1) following t generations of forward selection can be described in terms of the ratio NR1/ηDx where R1 is the response to the first generation of reverse selection. The value of NR1/Δx is expected to be (1−F) /2F.

For any period of reverse selection following any period of forward selection, the value of R/Δx never exceeds t ′/t, and tends to decrease exponentially from this value as t increases.

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Literature

  1. Allan, J.S. ; Robertson, A.: The effect of initial reverse selection upon total selection response. Genet. Res. 5, 68–79 (1964)

  2. Haldane, J.B.S.: A mathematical theory of natural and artificial selection. VII. Selection intensity as a function of mortality rate. Proc. Cambridge Philos. Soc. 27, 131–136 (1931)

  3. Latter, B.D.H.: Natural selection for an intermediate optimum. Austral. J. Biol. Sci. 13, 30–35 (1960)

  4. Robertson, A.: The effect of selection against extreme deviants based on deviation or on homozygosis. J. Genet. 54, 236–248 (1956)

  5. Robertson, A.: A theory of limits in artificial selection. Proc. Roy. Soc. (Series B) 153, 234–249 (1960)

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Communicated by A. Robertson

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Nicholas, F.W. Forward and reverse response to artificial selection. Theoret. Appl. Genetics 48, 101–104 (1976). https://doi.org/10.1007/BF00281652

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Keywords

  • Natural Selection
  • Single Generation
  • Additive Model
  • Forward Selection
  • Effective Size