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Räumliche Interaktionsmodelle (Gravitationsmodelle)×GIS-MCDA×Multinomiale Logistische Regression×Poisson- und Negativ-Binomial-Regression×
FachgebietRäumliche AnalyseRäumliche AnalyseÖkonometrieÖkonometrie
FamilieRegression modelProcess / pipelineRegression modelRegression model
Entstehungsjahr1971200619741998
UrheberAlan Wilson (entropy-maximizing family)Jacek Malczewski (GIS-MCDA synthesis)McFaddenCameron & Trivedi (textbook treatment); Hilbe (negative binomial)
TypModel of flows between spatial origins and destinationsSpatial multi-criteria suitability/decision analysisMultinomial logistic regressionGeneralized linear model for count data
Wegweisende QuelleWilson, A. G. (1971). A family of spatial interaction models, and associated developments. Environment and Planning A, 3(1), 1–32. DOI ↗Malczewski, J. (2006). GIS-based multicriteria decision analysis: a survey of the literature. International Journal of Geographical Information Science, 20(7), 703–726. DOI ↗McFadden, D. (1974). Conditional Logit Analysis of Qualitative Choice Behavior. In P. Zarembka (Ed.), Frontiers in Econometrics (pp. 105-142). Academic Press. ISBN: 978-0127761503Cameron, A. C. & Trivedi, P. K. (1998). Regression Analysis of Count Data. Cambridge University Press. DOI ↗
Aliasnamengravity model, spatial interaction model, competing destinations model, mekânsal etkileşim modeliGIS-MCDM, spatial multi-criteria analysis, GIS-AHP, weighted overlay suitabilitymultinomial logistic regression, polytomous logistic regression, softmax regression, Çok Kategorili Lojistik Regresyoncount regression, log-linear count model, negative binomial regression, Poisson / Negatif Binom Regresyon
Verwandt4454
ZusammenfassungSpatial interaction models predict the volume of flows — migrants, commuters, shoppers, trade, trips — between origins and destinations as a function of the size of each place and the distance or cost separating them. By analogy to Newton's gravity, interaction rises with the 'mass' of origin and destination and falls with separation, and Wilson's 1971 entropy-maximizing family put these models on a rigorous footing for transport, migration, and retail analysis.GIS-MCDA combines the map layers of a geographic information system with multi-criteria decision analysis to produce suitability or priority maps — ranking locations by how well they satisfy several weighted criteria at once. It is the standard framework for spatial decisions such as siting hospitals, solar farms, landfills, or evacuation areas, integrating methods like AHP, TOPSIS, and weighted overlay with spatial data.Multinomial logistic regression is a maximum-likelihood method for a nominal (unordered) dependent variable with more than two categories. Building on McFadden's 1974 treatment of qualitative choice, it gives each category its own set of coefficients relative to a reference category.Poisson regression is a generalized linear model for count outcomes — events tallied as non-negative integers such as hospital admissions, accidents, or article counts. It models the log of the expected count as a linear function of the predictors, and is developed in the standard count-data treatment of Cameron and Trivedi (1998); when the counts are over-dispersed, the closely related negative binomial model (Hilbe, 2011) is preferred.
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ScholarGateMethoden vergleichen: Spatial Interaction Model · GIS-MCDA · Multinomial Logit · Poisson Regression. Abgerufen am 2026-06-17 von https://scholargate.app/de/compare