Abstract
A detailed theoretical study of the dynamical behaviour of a quantitative trait under stabilizing selection is given for an effectively infinite sexual population. The trait is controlled by a finite number of loci and the exact equation obeyed by the distribution of allelic effects in gametes is derived and investigated. Results are derived for the effects of selection over one generation when the population is initially in linkage equilibrium, allelic effects are normally distributed, but the strength of selection is arbitrary. When weak stabilizing selection is operative, a more general analysis is presented. This includes explicitly identifying the linkage disequilibrium generating aspect of selection. In addition, the way quantities may be obtained from summing over effective one-locus haploid loci, is derived from the explicit dynamics. Numerical tests of dynamical results over 10 4 generations and equilibrium results are pre- sented.
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