Analysis of Dynamic Spatial Interaction Models by Means of Optimal Control
- 1 January 1988
- journal article
- Published by Wiley in Geographical Analysis
- Vol. 20 (1) , 18-30
- https://doi.org/10.1111/j.1538-4632.1988.tb00160.x
Abstract
This paper deals with the design of general classes of dynamic spatial interaction models. On the basis of a general (well‐behaved) multiperiod objective function and of a dynamic model representing the evolution of a spatial interaction system, an optimal control model is constructed. Particular attention is given to the equilibrium and stability conditions. It turns out that it is possible to identify steady‐state solutions for a dynamic spatial interaction model. Furthermore, it can also be demonstrated that the entropy model is a specific case of this spatial interaction system. A simple illustration for urban dynamics is given as well.Keywords
This publication has 6 references indexed in Scilit:
- Oscillations in optimal growth modelsJournal of Economic Dynamics and Control, 1987
- On Population Growth of Cities in a Region: A Stochastic Nonlinear ModelEnvironment and Planning A: Economy and Space, 1982
- Population Dynamics of Cities in a Region: Conditions for a State of Simultaneous GrowthEnvironment and Planning A: Economy and Space, 1979
- On the design of land use plans through locational surplus maximisationPapers in Regional Science, 1978
- ON THE DESIGN OF LAND USE PLANS THROUGH LOCATIONAL SURPLUS MAXIMISATIONPapers in Regional Science, 1978
- Reflections on gravity and entropy modelsRegional Science and Urban Economics, 1975