Premium
LINEAR URBAN MODELS
Author(s) -
Batty Michael
Publication year - 1983
Publication title -
papers in regional science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.937
H-Index - 64
eISSN - 1435-5957
pISSN - 1056-8190
DOI - 10.1111/j.1435-5597.1983.tb00801.x
Subject(s) - econometrics , representation (politics) , class (philosophy) , population , linear model , mathematics , balance (ability) , geography , statistics , sociology , computer science , psychology , political science , demography , artificial intelligence , politics , law , neuroscience
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.