On the Relationship between Alonso's Theory of Movement and Wilson's Family of Spatial-Interaction Models
- 1 February 1981
- journal article
- research article
- Published by SAGE Publications in Environment and Planning A: Economy and Space
- Vol. 13 (2) , 217-224
- https://doi.org/10.1068/a130217
Abstract
This paper compares the system of equations underlying Alonso's theory of movement with that of Wilson's standard family of spatial-interaction models. It is shown that the Alonso model is equivalent to one of Wilson's four standard models depending on the assumption at the outset about which of the total outflows and/or inflows are known. This result turns out to supersede earlier findings—inconsistent only in appearance—which were derived independently by Wilson and Ledent. In addition to this, an original contribution of this paper—obtained as a byproduct of the process leading to the aforementioned result—is to provide an exact methodology permitting one to solve the Alonso model for each possible choice of the input data.Keywords
This publication has 2 references indexed in Scilit:
- Comments on Alonso's ‘Theory of Movement’Environment and Planning A: Economy and Space, 1980
- A Family of Spatial Interaction Models, and Associated DevelopmentsEnvironment and Planning A: Economy and Space, 1971