Dynamics of generalised spatial interaction models

Abstract

This paper analyses dynamic properties of generalised spatial interaction models, with particular emphasis on Alonso's general theory of movements. Although the application of this theory addressed in the paper is a multiregional demographic stock-flow model, the approach can also be adopted to other types of spatial interaction phenomena. Equilibrium and stability conditions are examined by rewriting the generalised spatial interaction model as a general non-linear dynamic Volterra-Lotka model. More insight into local and global stability is obtained by means of simulation experiments which identify a variety of stable and unstable time trajectories. © 1987.