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Papers of the Regional Science Association

, Volume 53, Issue 1, pp 5–25 | Cite as

Linear urban models

  • Michael Batty
Twenty-Ninth North American Meetings of the Regional Science Association

Abstract

A class of linear models is developed in which activities are derived from transformations of each other and exogenous activities. The models are illustrated using spatial distributions of population and employment. Reduced forms are derived and the influence of different transformations on spatial model solutions is explored in terms of the balance of exogenous and endogenous variables, and through analysis of eigenstructures. Ten model types including the traditional Lowry model and Coleman's model of social exchange, are applied to an eight zone representation of Melbourne and the analysis is used to show how model solutions can be spatially independent of their inputs.

Keywords

Spatial Distribution Linear Model Model Solution Model Type Spatial Model 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© The Regional Science Association 1983

Authors and Affiliations

  • Michael Batty
    • 1
  1. 1.University of Wales Institute of Science and TechnologyCardiffWales

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