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Krigage universel (Krigage avec une tendance)×Cokrigage×Régression Pondérée Géographiquement (GWR)×Pondération par distance inverse (IDW)×
DomaineAnalyse spatialeAnalyse spatialeAnalyse spatialeAnalyse spatiale
FamilleRegression modelRegression modelRegression modelRegression model
Année d'origine1969196320021968
Auteur d'origineGeorges MatheronGeorges Matheron (geostatistics); multivariate extensionFotheringham, Brunsdon & CharltonDonald Shepard
TypeGeostatistical interpolation with spatial trendMultivariate geostatistical interpolationLocal spatial regressionDeterministic spatial interpolation
Source fondatriceMatheron, G. (1963). Principles of geostatistics. Economic Geology, 58(8), 1246–1266. DOI ↗Matheron, G. (1963). Principles of geostatistics. Economic Geology, 58(8), 1246–1266. DOI ↗Fotheringham, A. S., Brunsdon, C., & Charlton, M. (2002). Geographically Weighted Regression: The Analysis of Spatially Varying Relationships. Wiley. ISBN: 978-0471496168Shepard, D. (1968). A two-dimensional interpolation function for irregularly-spaced data. Proceedings of the 23rd ACM National Conference, 517–524. DOI ↗
Aliaskriging with a trend, kriging with drift, trend kriging, evrensel krigingco-kriging, multivariate kriging, ortak krigingGWR, local regression, spatially varying coefficient regression, Coğrafi Ağırlıklı Regresyon (GWR)IDW, inverse distance interpolation, Shepard's method, ters mesafe ağırlıklı enterpolasyon
Apparentées3353
RésuméUniversal kriging generalizes ordinary kriging to data whose mean varies systematically across space — a spatial trend or 'drift'. It models the mean as a function of the coordinates (or covariates) and krigs the residuals, so it can interpolate variables that drift in a preferred direction, such as temperature falling with latitude or a pollutant gradient, while still returning prediction variances.Cokriging extends kriging to use one or more correlated secondary variables to improve prediction of a primary variable. When the variable of interest is sparsely sampled but a related, cheaper-to-measure variable is densely sampled, cokriging borrows strength from the secondary variable through their cross-correlation, yielding more accurate interpolations and prediction variances than kriging the primary variable alone.Geographically Weighted Regression is a local regression method, introduced by Fotheringham, Brunsdon and Charlton (2002), that allows the regression coefficients to vary across space. Instead of one global equation, it fits a separate set of coefficients at every location, capturing spatial heterogeneity in the relationships.Inverse distance weighting is a simple, deterministic method for estimating values at unsampled locations by taking a weighted average of nearby measured points, where closer points carry more weight. Introduced by Donald Shepard in 1968, it embodies the first law of geography — near things are more related than distant things — and is one of the most widely used interpolation methods in GIS for mapping continuous fields such as rainfall, elevation, or pollution from scattered samples.
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ScholarGateComparer des méthodes: Universal Kriging · Cokriging · Geographically Weighted Regression · Inverse Distance Weighting. Consulté le 2026-06-20 sur https://scholargate.app/fr/compare