Settlement Formation Models with Entropy Operator

An integrated dynamic model of the settlement formation is presented. The model may be considered as a modification of Weidlich-Munz model (1988), which focused on the interaction between the population migration and the economical activity and its role for the processes of self-organization in the spatial structure of settlements. In the present model the detailed description of the economical subsystem is implemented on the basis of the theory of economical growth in a fully dynamic manner. The stochastic commodity exchange processes are described in the frame of the macrosystem approach, which uses an entropy maximization procedure. Some qualitative features of the model are investigated. It is shown in particular, that the homogeneous equilibrium distribution of population and economy is unstable under certain conditions. This leads to the development of non-homogeneous spatial structures from the initially homogeneous state