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Linear Urban Models

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  • Michael Batty

Abstract

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.

Suggested Citation

  • Michael Batty, 1983. "Linear Urban Models," Papers in Regional Science, Wiley Blackwell, vol. 53(1), pages 5-25, January.
    • Handle: RePEc:bla:presci:v:53:y:1983:i:1:p:5-25
    DOI: 10.1111/j.1435-5597.1983.tb00801.x
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    Cited by:

    1. Ana Viñuela & Esteban Fernández Vázquez, 2012. "From the periphery to the core: direct and indirect effects of the migration of labour," Review of Regional Research: Jahrbuch für Regionalwissenschaft, Springer;Gesellschaft für Regionalforschung (GfR), vol. 32(1), pages 1-18, March.
    2. Esteban Fernández Vázquez & Ana García Muñiz & Carmen Ramos Carvajal, 2011. "The impact of immigration on interregional migrations: an input–output analysis with an application for Spain," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 46(1), pages 189-204, February.

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