Estimation of effective population size from the rate of coancestry in pedigreed populations

Abstract

We introduce a simple method to estimate effective population size from increase in coancestry (Δc(jk)) for all pairs of individuals j and k in a reference subpopulation. An increase in pairwise coancestry for any pair of individuals j and k can be defined assuming that a hypothetical mating between them would give an individual with an inbreeding coefficient equal to c(jk), where c(jk) is the coancestry coefficient between the individuals j and k. The equivalent measure to discrete generations value (g(jk)) corresponding to the individual jk can be computed by averaging discrete equivalents generations of its parents (g(j) and g(k)). The mean increase in coancestry for all pairs of individuals in a reference subpopulation can be used to estimate a realized effective population size based on coancestries that would provide information on the effective size of a population under random mating. Performance of the new parameter was tested on simulated and empirical (horse) populations with different mating strategies and population structures. The routines needed to compute the introduced parameters have been included in a new version of the program ENDOG.