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The Doubly Constrained Model of Spatial Interaction

A More General Formulation

Bibliographic Data

ID5035014
AuthorsJacques Ledent (0000-0001-5827-6905, Université du Québec à Montréal, corresponding author)
Year1985
Volume17
Issue2
Pages253-262
Publication date1985-02-01
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/a170253
OpenAlexW2043397282
LanguageEN
Citations received5
References cited9

Concerned with the doubly constrained case of spatial interaction models, this paper introduces a general functional form that subsumes the usual multiplicative (Wilson) and additive (Tobler) variants as extreme variants. Specifically, this formulation depends on a scalar Λ allowed to vary between 0 (multiplicative case) and 1 (additive case). A computational procedure is suggested and then illustrated by means of an application to interregional migration data

Additive model · Econometrics · Geometry · Mathematical analysis · Mathematical optimization · Multiplicative function · Computer Science · Mathematics · Regional Economics and Spatial Analysis · Spatial and Panel Data Analysis · Urban, Neighborhood, and Segregation Studies · Applied Mathematics

  • Spatial interaction modeling using artificial neural networks

    Open Access•William R Black•Journal of Transport Geography•1995

  • An extended family of spatial interaction models

    Open Access•Jim Pooler•Progress in Human Geography•1994

  • Modelling Interprovincial Migration Using Entropy‐maximizing Methods

    Open Access•James Pooler, James A Pooler•Canadian Geographies /…•1987

  • Testing for Misspecification in Models of Spatial Flows

    Open Access•M J Baxter•Environment and Planning A…•1987

  • Spatial Uncertainty and Spatial Dominance in Interaction Modelling

    Open Access•J Pooler•Environment and Planning A…•1992

  • A statistical theory of spatial distribution models

    Open Access•A G Wilson, Alan Wilson•Transportation Research•1967

  • An Analysis of Transformations

    Open Access•George E P Box, David R Cox•Journal of the Royal Statistical…•1964

  • Biproportional Matrices and Input Output Change

    Maurice Peston, M Bacharach et al.•The Economic Journal•1971

  • Push-Pull Migration Laws

    Guido Dorigo, Waldo Tobler•Annals of the Association of…•1983

  • "Tobler's "An Alternative Formulation for Spatial-Interaction Modeling

    Open Access•A G Wilson, Adam Wilson•Environment and Planning A…•1983

  • An Alternative Formulation for Spatial-Interaction Modeling

    Open Access•Waldo Tobler•Environment and Planning A…•1983

Unique citing works5
Citations per year0,13
Citation span1987 - 1995 (9)
Citation velocityhistorical
Highly citedNo
Citation typesNeutral: 5

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