SETTLEMENT FORMATION MODELS WITH ENTROPY OPERATOR

An integrated dynamical model of the settlement formation is presented . The model may be considered as a modification of Weidlich-Munz model (1988), which focussed on the interaction between the population migr ation and the economical activity and its role for the processes of se lf-organization in the spatial structure of settlements. Zn the presen t model the detailed description of the economical subsystem is implem ented on the basis of the theory of economical growth in a fully dynam ical manner. The stochastic commodity exchange processes are described in the frame of the macro-system approach, which uses an entropy maxi mization procedure. Some qualitative features of the model are investi gated. It is shown in particular, that the homogeneous equilibrium dis tribution of population and economy is unstable under certain conditio ns. This leads to the development of non-homogeneous spatial structure s from the initially homogeneous state.