Abstract
The purpose of this paper is to present convergence results for covariance structures of allelic effects over successive generations in Gaussian polygenic models for quantitative traits developed by Lande (1976, Genetical Research 26, 221-235; 1977, Genetics 86, 485-498) and Chevalet (1988, in Proceedings of the Second International Conference on Quantitative Genetics, 379-394). The proofs rely on concavity properties of transformations of covariance matrices.
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