Dynamic Spatial Interaction Models: New Directions
Peter Nijkamp and
Aura Reggiani ()
Environment and Planning A, 1988, vol. 20, issue 11, 1449-1460
Abstract:
Spatial interaction models have received a great deal of attention in the past decade. In recent years, various approaches have also been developed to take into account dynamic aspects of spatial interaction models, by means of, for instance, optimal control theory, bifurcation theory, or catastrophe theory. The present paper deals with new directions in dynamic spatial interaction research. The focus is on a general dynamic interaction model analyzed in the framework of optimal control theory. The objective function used is a bicriterion utility model, to be maximized subject to a set of differential equations which bear some resemblance to those used by Wilson in a shopping-centre context. The link between the model presented and a catastrophe type of model is investigated. It is demonstrated that catastrophe behaviour may emerge as a particular case of this optimal control model. Finally, it is shown how external influences (for example, stochastic impacts of the Brownian motion type) affect the optimal trajectory.
Date: 1988
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (6)
Downloads: (external link)
https://journals.sagepub.com/doi/10.1068/a201449 (text/html)
Related works:
Working Paper: Dynamic spatial interaction models: new directions (1987) 
This item may be available elsewhere in EconPapers: Search for items with the same title.
Export reference: BibTeX
RIS (EndNote, ProCite, RefMan)
HTML/Text
Persistent link: https://EconPapers.repec.org/RePEc:sae:envira:v:20:y:1988:i:11:p:1449-1460
DOI: 10.1068/a201449
Access Statistics for this article
More articles in Environment and Planning A
Bibliographic data for series maintained by SAGE Publications ().