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GISベース多基準意思決定分析 (GIS-MCDA)×ロケーション・アロケーション・モデル×多項ロジスティック回帰×ポアソン回帰と負の二項回帰×
分野空間分析空間分析計量経済学計量経済学
系統Process / pipelineProcess / pipelineRegression modelRegression model
提唱年2006196319741998
提唱者Jacek Malczewski (GIS-MCDA synthesis)Leon Cooper; S. L. HakimiMcFaddenCameron & Trivedi (textbook treatment); Hilbe (negative binomial)
種類Spatial multi-criteria suitability/decision analysisSpatial facility-location optimizationMultinomial logistic regressionGeneralized linear model for count data
原典Malczewski, J. (2006). GIS-based multicriteria decision analysis: a survey of the literature. International Journal of Geographical Information Science, 20(7), 703–726. DOI ↗Cooper, L. (1963). Location-allocation problems. Operations Research, 11(3), 331–343. 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 ↗
別名GIS-MCDM, spatial multi-criteria analysis, GIS-AHP, weighted overlay suitabilityfacility location, p-median problem, maximal covering location problem, yer-tahsis modellerimultinomial logistic regression, polytomous logistic regression, softmax regression, Çok Kategorili Lojistik Regresyoncount regression, log-linear count model, negative binomial regression, Poisson / Negatif Binom Regresyon
関連4454
概要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.Location-allocation models decide where to place a set of facilities and simultaneously assign demand points to them so as to optimize an objective such as total travel cost, worst-case distance, or population covered. Rooted in the operations-research work of Cooper (1963) and Hakimi (1964) and central to network GIS, they answer questions like where to site warehouses, hospitals, fire stations, or schools to best serve a spatially distributed population.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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ScholarGate手法を比較: GIS-MCDA · Location-Allocation · Multinomial Logit · Poisson Regression. 2026-06-17に以下より取得 https://scholargate.app/ja/compare