The Quasi-Symmetric Side of Gravity Modelling

Many properties of gravity models are sole consequences of the quasi-symmetry condition or its avatars. We investigate here quasi-symmetry per se, in contrast to geographical tradition, which has been more focused on the exogenous socioeconomic and spatial conditions. In particular, the ‘size – util...

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Bibliographic Details
Published inEnvironment and planning. A Vol. 34; no. 1; pp. 61 - 79
Main Author Bavaud, François
Format Journal Article
LanguageEnglish
Published London, England SAGE Publications 01.01.2002
Pion
Pion Ltd, London
SeriesEnvironment and Planning A
Subjects
Bgi / Prodig
Correlation
Decision theory
Environment
Estimation
General methodology
Geography
Markovian processes
Modelling
Statistical and stochastic methods
Statistical models
Matrix analysis
Markov chain
Entropy maximization
Spatial analysis
Gravity model
Model
Calibration
Statistics
Flow
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Summary:Many properties of gravity models are sole consequences of the quasi-symmetry condition or its avatars. We investigate here quasi-symmetry per se, in contrast to geographical tradition, which has been more focused on the exogenous socioeconomic and spatial conditions. In particular, the ‘size – utility – accessibility’ parameterization of migration counts turn out to rely exclusively upon the quasi-symmetry of flows. Various facets of quasi-symmetry are presented and put in correspondence with Markov chains theory, Bradley – Terry – Luce decision theory, the Weidlich – Haag model, and alternative classical statistical models (marginal homogeneity, symmetry, independence). Existing as well as presumably new estimation and model selection procedures (maximum likelihood, minimum discrimination information, maximum entropy, generalized power divergence, least squares and logarithmic least squares) are discussed in a way which unifies different traditions in gravity modelling.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0308-518X
1472-3409
DOI:10.1068/a3487