The concept of genetic contributions is developed and used to predict the rate of inbreeding (AF) for populations undergoing selection using sib indices (including mass selection as a special case). The opportunity is taken to improve upon previously published results and compare with other formulations. The use of genetic contributions was extended to genetic progress (AG) and it is shown how AF « Efr2) and AG « E(ra), where r is an individual’s genetic contribution and a is the Mendelian sampling component of its genotype. Using this formulation an informal solution for problems involving the simultaneous control of inbreeding and progress is given. This is used to derive a weak bound for inbreeding in relation to the genetic progress obtained. A novel class of indices involving Mendelian terms are introduced. These are compared in theory to previously published indices.

John A Woolliams, R. Thompson

Proceedings of the World Congress on Genetics Applied to Livestock Production, Volume 19. Selection and quantitative genetics; growth; reproduction; lactation; fish; fiber; meat., , 127–134, 1994
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