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स्थानिक अंतःक्रिया (गुरुत्वाकर्षण) मॉडल×GIS-MCDA×स्थान-आवंटन मॉडल (Location-Allocation Models)×पॉइसन और ऋणात्मक द्विपद प्रतिगमन (Poisson and Negative Binomial Regression)×
क्षेत्रस्थानिक विश्लेषणस्थानिक विश्लेषणस्थानिक विश्लेषणअर्थमिति
परिवारRegression modelProcess / pipelineProcess / pipelineRegression model
उद्भव वर्ष1971200619631998
प्रवर्तकAlan Wilson (entropy-maximizing family)Jacek Malczewski (GIS-MCDA synthesis)Leon Cooper; S. L. HakimiCameron & Trivedi (textbook treatment); Hilbe (negative binomial)
प्रकारModel of flows between spatial origins and destinationsSpatial multi-criteria suitability/decision analysisSpatial facility-location optimizationGeneralized linear model for count data
मौलिक स्रोतWilson, 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 ↗Cameron, A. C. & Trivedi, P. K. (1998). Regression Analysis of Count Data. Cambridge University Press. DOI ↗
उपनामgravity 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 modellericount regression, log-linear count model, negative binomial regression, Poisson / Negatif Binom Regresyon
संबंधित4444
सारांशSpatial 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.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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