A model of a system of populations (metapopulation) is presented in which a
population is characterized by a mean phenotype (or equivalently a continu
ous character) averaged over all individuals belonging to the population. T
he populations interact by exchanging genetic information (gene flow) and c
ompeting in the natural selection. We show, via Monte Carlo simulations, th
at the extinction rate of the populations depends crucially on two factors
- interactions between the populations and the changes of the external cond
itions. Apart from big cataclysms, increased rate of extinctions in the sys
tem of interacting populations may be also provoked by small, but correlate
d, changes in the environment. As in the case of a constant habitat, which
leads to a steady extinction rate, there are only three possible scenarios
for the fate of the metapopulation. (C) 1999 Elsevier Science B.V. All righ
ts reserved.