Using a lattice model based on Monte Carlo simulations, we study the role of
the reproduction pattern on the fate of an evolving population. Each individual
is under the selection pressure from the environment and random mutations. The
habitat ("climate") is changing periodically. Evolutions of populations
following two reproduction patterns are compared, asexual and sexual. We show,
via Monte Carlo simulations, that sexual reproduction by keeping more
diversified populations gives them better chances to adapt themselves to the
changing environment. However, in order to obtain a greater chance to mate, the
birth rate should be high. In the case of low birth rate and high mutation
probability there is a preference for the asexual reproduction.Comment: 11 pages including figs., for Int. J. Mod. Phys. C 15, issue 2 (2004