Coeffieient of eoaneestry: The coefficient of coancestry, half of additive genetic relationship, was used to predict future rates of inbreeding because the coefficient of coancestry of parents equals the inbreeding coefficient of progeny (Falconer and Mackay, 1996).
xy] and are the coancestry coefficient and additive genetic relationship between individual x and y, respectively.
b] are influenced by selection in year t, where the former represents the average additive genetic relationship among new progenies, and the second term represents the average additive genetic relationship between new progenies and other older animals (age class 2 to q).
where, At denotes the matrix of additive genetic relationship among animals in year t; [c.
2] is the variance of the random sy and htm effect, respectively, A is the matrix of additive genetic relationships
among animals, [cross product] is the Kronecker product, P and G are covariance matrices for permanent environmental and additive genetic effects, respectively, R is the diagonal matrix of the form I[[sigma].