Dynamic selection for maximizing response with constrained inbreeding in schemes with overlapping generations

A dynamic selection algorithm for maximizing annual genetic response while constraining the rate of inbreeding per generation in populations with over lapping generations is presented. The procedure gives the optimum number of individuals to be selected and the progeny they each produce. The solution to the problem was obtained by using BLUP estimated breeding values, the a ugmented numerator relationship matrix and lifetime breeding profiles. The procedure eons able to constrain the rate of inbreeding per generation to a predefined level across generations of selection by considering all gene f low su pathways. The optimization procedure represents an improvement on st andard truncation BLUP selection, as it yielded substantially more genetic response (up to 35%) at the same rate of inbreeding.