Consequences of Truncation Selection Based on Combinations of Individual Performance and General Combining Ability

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Abstract
The objective of this study is to examine in detail the immediate and longterm consequences of 9 combinations of truncation selection. These combinations result from applying one of the following conditions to each sex: (i) no selection, (ii) individual selection, and (iii) general combining ability selection. Consequences of selection and relaxation from selection are examined for populations of increasing genetic complexity: i.e. for populations generated by alleles at 1 locus, at 2 loci, and at an arbitrary number of loci. It is shown that the immediate response to all forms of selection applied to populations involving more than 1 locus is complicated by the inclusion of certain epistatic variances. In the most general genetic situation the immediate response to selection is formulated in terms of covari-ances among relatives, the particular covariance depending on the particular form of selection. It is demonstrated, however, that on relaxation from selection the cumulative epistatic response to selection disappears leaving as a residua the genetic grains predicted on the basis of independent, non-interacting loci. The rate of disappearance of these epistatic contributions is a function of the linkage parameters.

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