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空间交互(引力)模型×基于地理信息系统的多准则决策分析 (GIS-MCDA)×区位-分配模型×多项逻辑回归×
领域空间分析空间分析空间分析计量经济学
方法族Regression modelProcess / pipelineProcess / pipelineRegression model
起源年份1971200619631974
提出者Alan Wilson (entropy-maximizing family)Jacek Malczewski (GIS-MCDA synthesis)Leon Cooper; S. L. HakimiMcFadden
类型Model of flows between spatial origins and destinationsSpatial multi-criteria suitability/decision analysisSpatial facility-location optimizationMultinomial logistic regression
开创性文献Wilson, 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 ↗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: 978-0127761503
别名gravity model, spatial interaction model, competing destinations model, mekânsal etkileşim modeliGIS-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 Regresyon
相关4445
摘要Spatial 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.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.
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ScholarGate方法对比: Spatial Interaction Model · GIS-MCDA · Location-Allocation · Multinomial Logit. 于 2026-06-17 检索自 https://scholargate.app/zh/compare