The Quasi-Symmetric Side of Gravity Modelling
Bibliographic Data
| ID | 4138677 |
|---|---|
| Authors | François Bavaud (0000-0002-4565-0715, Section d'Informatique et de Méthodes Mathématiques, Faculté des Lettres, University of Lausanne, CH-1015, Switzerland, corresponding author) |
| Year | 2002 |
| Volume | 34 |
| Issue | 1 |
| Pages | 61-79 |
| Publication date | 2002-01-01 |
| Peer Reviewed | Yes |
| Open Access | Yes |
| Type | ARTICLE |
| Venue | Environment and Planning A Economy and Space (JOURNAL) |
| Journal identifiers | ISSN: 0308-518X • E-ISSN: 1472-3409 |
| Publisher | SAGE Publications Inc (PUBLISHER) |
| DOI | 10.1068/a3487 |
| OpenAlex | W2046489015 |
| Language | EN |
| Citations received | 3 |
| References cited | 21 |
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
Asymmetry · Circular symmetry · Econometrics · Economics · Geometry · Gravity model of trade · Logarithm · Markov chain · Mathematical analysis · Mathematical economics · Physics · Principle of maximum entropy · Statistical physics · Statistics · Theoretical physics · Bayesian Methods and Mixture Models · Complex Systems and Time Series Analysis · Diffusion and Search Dynamics · Mathematics
Elements of Information Theory
Generalized Linear Models
Gravity Models of Spatial Interaction Behavior
Specification and Calibration of Spatial Interaction Modei a Contingency‐table Perspective and an Application to Intra‐urban Migration in Rotterdam
Transitivity, Spatially Separable Utility Functions, and United States Migration Streams, 1935-1970
| Unique citing works | 3 |
|---|---|
| Citations per year | 0,17 |
| Citation span | 2008 - 2024 (17) |
| Citation velocity | recent |
| Highly cited | No |
| Citation types | Neutral: 3 |