Using of clusterization effect in coupled map lattices for the description of real metapopulations dynamics

The article deals with the phenomenon of clusterization in coupled map lattices considered as simple models of metapopulation dynamics. The author investigates the opportunity of cluster elements aggregation by a summary or average value of all variables in the cluster. It is shown that in case of completely synchronous (or close to it) dynamics, such aggregate values can be described or approximated with the system of a considerably less in number variables (according to the number of clusters). It is proposed to use this approximation for the description of real metapopulations dynamics.