Theoretical and Applied Genetics

, Volume 65, Issue 1, pp 25–30

Effect on linkage disequilibrium of selection for a quantitative character with epistasis

  • J. P. Mueller
  • J. W. James

DOI: 10.1007/BF00276258

Cite this article as:
Mueller, J.P. & James, J.W. Theoret. Appl. Genetics (1983) 65: 25. doi:10.1007/BF00276258


Selection for a character controlled by additive genes induces linkage disequilibrium which reduces the additive genetic variance usable for further selective gains. Additive x additive epistasis contributes to selection response through development of linkage disequilibrium between interacting loci. To investigate the relative importance of the two effects of linkage disequilibrium, formulae are presented and results are reported of simulations using models involving additive, additive x additive and dominance components. The results suggest that so long as epistatic effects are not large relative to additive effects, and the proportion of pairs of loci which show epistasis is not very high, the predominant effect of linkage disequilibrium will be to reduce the rate of selection response.

Key words

Linkage disequilibrium Selection Genetic variance Quantitative traits Epistasis 

Copyright information

© Springer-Verlag 1983

Authors and Affiliations

  • J. P. Mueller
    • 1
  • J. W. James
    • 1
  1. 1.School of Wool and Pastoral SciencesUniversity of New South WalesKensingtonAustralia

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