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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Published in | Environment and planning. A Vol. 34; no. 1; pp. 61 - 79 |
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Main Author | |
Format | Journal Article |
Language | English |
Published |
London, England
SAGE Publications
01.01.2002
Pion Pion Ltd, London |
Series | Environment and Planning A |
Subjects | |
Online Access | Get full text |
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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. |
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Bibliography: | ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 23 |
ISSN: | 0308-518X 1472-3409 |
DOI: | 10.1068/a3487 |