LOG‐LINEAR MODELLING OF SPATIAL INTERACTION

Abstract

ABSTRACT The research reported in this paper is part of a larger research effort to develop a methodology for estimating spatial interaction (migration) flows. The first section of the paper summarises the equivalences between the log-linear model and conventional spatial interaction models. It is shown under what conditions the values of the balancing factors of the gravity model coincide with the parameter values of the log-linear model. The second section focuses on the analysis of (known) spatial interaction flows. The effects associated with the region of origin, region of destination and spatial separation are identified and quantified. A‘distance effect’is derived from the flow matrix. A measure of accessibility is developed and compared with accessibility measures derived from different forms of distance functions. The third section deals with the estimation of spatial interaction flows. It is shown how the quality of the estimates (and hence the model performance) can be improved by efficiently adding information. This is particularly relevant in the estimation of disaggregated spatial interaction flows.

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