Models of Hierarchically Dominated Spatial Interactiona

Author:

Goodchild M F1,Kwan Mi Yee Carmen1

Affiliation:

1. Department of Geography, University of Western Ontario, London, Canada N6A 5C2

Abstract

Strongly asymmetrical spatial flows are analyzed by using as example the flows of news between major Canadian cities. Conceptually such flows can be modelled by combining a vertical dimension of dominance with two spatial dimensions. The conceptual model is interpreted mathematically by appropriate use of the attraction and emissivity terms in the spatial interaction model. A family of models is identified and calibrated using the Canadian data, allowing the positions of cities on the dominance dimension to be identified. By inverting the model it is possible to scale positions in the spatial dimensions to reflect interaction more correctly. The result is a three-dimensional image which gives a ‘fuzzy’ interpretation to the conventional topological tree model of a hierarchy. Relationships with Tobler's ‘winds' model are examined.

Publisher

SAGE Publications

Subject

Environmental Science (miscellaneous),Geography, Planning and Development

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1. Variable-Specific Classification of Zones, Pairs of Zones, and Clusters of a Spatial System via Modified Gravity Model;IEEE Transactions on Emerging Topics in Computing;2019-04-01

2. Spatial optimization for regionalization problems with spatial interaction: a heuristic approach;INT J GEOGR INF SCI;2016

3. Ranks for Pairs of Spatial Fields via Metric Based on Grayscale Morphological Distances;IEEE Transactions on Image Processing;2015-03

4. Other Methods;The Springer Series on Demographic Methods and Population Analysis;2012

5. A flexible gravity-opportunities model for trip distribution;Transportation Research Part B: Methodological;1986-04

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