An iterative selection strategy, based on estimated breeding values (EBV) and average relationship among selected individuals, is proposed to reduce inbreeding with minimal effect on genetic progress. Stochastic simulation is used to compare rates of inbreeding and genetic gain with those of other strategies. For a range of population sizes and mating ratios, and for sex-limited and non-sex-limited traits, the new strategy gives the greatest genetic gain at a given rate of inbreeding and gives the least inbreeding at a given genetic gain. Where inbreeding is of concern, the new selection strategy always outperforms strategies currently in use. Where selection is currently by truncation on EBV with a restriction on the number of full sibs selected, the new strategy maintains similar levels of genetic gain and inbreeding with a reduction in population size of 10-30%. 

J. R Brisbane, John P Gibson

Proceedings of the World Congress on Genetics Applied to Livestock Production, Volume 19. Selection and quantitative genetics; growth; reproduction; lactation; fish; fiber; meat., , 135–138, 1994
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