“…The earliest attempts have modified selection indices by inflating genetic parameters [14,20,37] or by decreasing the weight of familial information vs. the weight of individual information [11,20,34,41] or by including penalties for individual's inbreeding coefficient [20,37] or for the average coancestry between individual and the rest of the population [4,5,41]. The most advanced proposal consists of determinating selection of parents and their future contribution after optimizing a decision rule, in general after maximizing genetic gains, based on true estimated breeding values (EBV) and given a certain level of accepted inbreeding rate [4,5,15,16,21,22,26,27,35,36,40]. Compared to a reference scheme, the last implementation is able to enhance genetic gains by several tens of %, reasoning at the same level of inbreeding coefficients.…”