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Models for Spatial Weights: A Systematic Look
Author(s) -
Bavaud François
Publication year - 1998
Publication title -
geographical analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.773
H-Index - 65
eISSN - 1538-4632
pISSN - 0016-7363
DOI - 10.1111/j.1538-4632.1998.tb00394.x
Subject(s) - voronoi diagram , dirichlet distribution , centrality , heuristic , statistical physics , mathematics , computer science , index (typography) , mathematical optimization , statistics , geometry , mathematical analysis , physics , world wide web , boundary value problem
General properties of spatial weights models, in particular Markovian properties, are systematically investigated. The role of stationary spatial distribution, interpretable as an importance‐centrality or prominence index, is emphasized. Spatial interaction models, and among them the gravity model, are classified with respect to the time reversal and aggregation invariance properties obeyed by the associated spatial weights. Nine examples, involving connectivity, flows and distance decay analysis, integral geometry, and Dirichlet‐Voronoi tessellations illustrate the main concepts, with a particular geometrical emphasis, and show how traditional, heuristic ingredients aimed at defining spatial weights can be recovered from general models.