A Measure-Theoretic Approach to Urban Fields with Applications to Origin-Constrained Travel

Bibliographic Data

ID4140451
AuthorsDonald P Ballou (University at Albany, State University of New York), J S Pipkin (Department of Geography, State University of New York at Albany, Albany, New York 12222, USA)
Year1980
Volume12
Issue1
Pages85-95
Publication date1980-01-01
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/a120085
OpenAlexW2030723365
LanguageEN
Citations received1
References cited7

Mathematical formulations of urban structure usually invoke either a strictly continuous or a strictly discrete account of spatial distributions. The arbitrary nature of this dichotomy is illustrated by urban retail and commercial activity, which can be usefully represented as a mixture of discrete and continuous components. This paper exploits concepts from general measure theory to extend the notion of an urban field. The resulting formulation yields discrete and continuous models as special cases. The abstract-field model is interpreted for the case of urban commercial structure, and is applied to develop a generalized extension of the origin-constrained interaction model. The descriptive utility of the formulation is then demonstrated in the case of commercial arterials in Albany, New York

Continuous modelling · Data mining · Exploit · Mathematical analysis · Mathematical economics · Pure mathematics · Computer Science · Housing Market and Economics · Mathematics · Urban and Freight Transport Logistics · Urban Design and Spatial Analysis · Applied Mathematics

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