From the Weber Problem to a ‘Topodynamic’ Approach to Locational Systems

In any given space, a sequence of interdependent Weber problems of a certain type leads to a pattern of locations which can be mathematically characterized. Conversely, the observed evolution of a given locational system corresponds to certain characteristics of an analogous Weberian locational system. Determining such characteristics leads to the simulating and forecasting of the evolution of the observed locational system. A model corresponding to such a ‘topodynamic’ approach is presented and an application is made. Three different effects are integrated into the model: an interdependency effect which determines the polarization level; an ‘attraction — repulsion’ effect which determines the center — periphery equilibrium; and a distance deterrence effect which determines the diffusion process and the inertia level.