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Modely prostorové interakce (gravitační modely)×Modely lokalizace a alokace×Multinomická logistická regrese×Poissonova a negativně binomická regrese×
OborProstorová analýzaProstorová analýzaEkonometrieEkonometrie
RodinaRegression modelProcess / pipelineRegression modelRegression model
Rok vzniku1971196319741998
TvůrceAlan Wilson (entropy-maximizing family)Leon Cooper; S. L. HakimiMcFaddenCameron & Trivedi (textbook treatment); Hilbe (negative binomial)
TypModel of flows between spatial origins and destinationsSpatial facility-location optimizationMultinomial logistic regressionGeneralized linear model for count data
Původní zdrojWilson, A. G. (1971). A family of spatial interaction models, and associated developments. Environment and Planning A, 3(1), 1–32. 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 ↗
Další názvygravity model, spatial interaction model, competing destinations model, mekânsal etkileşim modelifacility 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
Příbuzné4454
ShrnutíSpatial 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.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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ScholarGatePorovnat metody: Spatial Interaction Model · Location-Allocation · Multinomial Logit · Poisson Regression. Získáno 2026-06-17 z https://scholargate.app/cs/compare