An Analysis of Migratory Systems: 1. Theory
- 1 July 1986
- journal article
- research article
- Published by SAGE Publications in Environment and Planning A: Economy and Space
- Vol. 18 (7) , 913-928
- https://doi.org/10.1068/a180913
Abstract
The task of combining evolutionary migration models with stochastic utility theory is undertaken in a series of three interrelated papers. The present, first, paper deals with the evolution of migratory systems and its dynamics are drawn mainly from work by Haag and Weidlich. A migratory system is defined and then the foundations upon which the evolution of such a system is based are described, including an approximation due to Kurtz which allows the most probable state of the evolutionary model to be represented as a dynamical system. This paper closes with a discussion of disequilibrium, which is central in this series. Disequilibrium is related to the concept of a steady state, the existence of which is established for nonlinear migratory systems of the type discussed here.Keywords
This publication has 14 references indexed in Scilit:
- A Stochastic Theory of Interregional MigrationGeographical Analysis, 1984
- Individual decision?making in dynamic collective systemsThe Journal of Mathematical Sociology, 1983
- Models of Movement: A Review of Alternative MethodsEnvironment and Planning A: Economy and Space, 1980
- The provision of public goods in a growing urban economyRegional Science and Urban Economics, 1979
- Strong approximation theorems for density dependent Markov chainsStochastic Processes and their Applications, 1978
- Two Models for Multiregional Population DynamicsEnvironment and Planning A: Economy and Space, 1973
- A Matrix Approach to Nonstationary ChainsOperations Research, 1970
- Matrix analysis of interregional population growth and distributionPapers in Regional Science, 1967
- THEOREMS ON LINEAR SYSTEMS*Annals of the New York Academy of Sciences, 1963
- The Predictability of Social EventsJournal of Political Economy, 1954