Models of Hierarchically Dominated Spatial Interactiona

Bibliographic Data

ID4139864
AuthorsM F Goodchild (Department of Geography, University of Western Ontario, London, Canada N6A 5C2), Mi Yee Carmen Kwan (Department of Geography, University of Western Ontario, London, Canada N6A 5C2)
Year1978
Volume10
Issue11
Pages1307-1317
Publication date1978-11-01
Peer ReviewedYes
Open AccessYes
TypeARTICLE
VenueEnvironment and Planning A Economy and Space (JOURNAL)
Journal identifiersISSN: 0308-518X • E-ISSN: 1472-3409
PublisherSAGE Publications Inc (PUBLISHER)
DOI10.1068/a101307
OpenAlexW2021566771
LanguageEN
Citations received2
References cited11

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

Cartography · Fuzzy logic · Geography · Hierarchy · Physics · Pure mathematics · Spatial ecology · Statistical physics · Computer Science · Data Management and Algorithms · Geographic Information Systems Studies · Land Use and Ecosystem Services · Mathematics · Artificial Intelligence

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