  The superior Fisher-Kopeliovich closure is applied to the hierarchy of master
equations for spatial moments of population dynamics for the first time. As a
consequence, the population density, pair and triplet distribution functions
are calculated within this closure for a birth-death model with nonlocal
dispersal and competition in continuous space. The new results are compared
with those obtained by ``exact'' individual-based simulations as well as by the
inferior mean-field and Kirkwood superposition approximations. It is shown that
the Fisher-Kopeliovich approach significantly improves the quality of the
description in a wide range of varying parameters of the model.
