Integration of spatial interaction models : towards general theory of spatial interaction
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概要
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The present study explores the possible extensions and improvements of spatial interaction modeling, and provides an overview of the generalized spatial interaction models including the new origin-destination pair effects. It is demonstrated that a variety of spatial interaction models, given certain conditions, are actually identical: including the Poisson gravity model, the log-linear model, the logit model and the entropy-maximizing model. The doubly constrained models and the saturated log-linear models are fitted to migration flows between prefectures in Japan in 1960 and 1985. The interaction effect and the linkage coefficient are identified. Then, improvements in the doubly constrained model are explored, adding the new explanatory variables relevant to the origindestination pair (except for the distance between them). Focusing on the similarity of these spatial interaction models allows the identification of the other origin-destination specific effects which are not accounted for in the conventional spatial interaction models. It is important to include the new variables corresponding to those effects in the spatial interaction model. Also, comparison with the multinomial logit model makes the interpretation of those effects in the behavioral context feasible.
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