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Nghịch đảo khoảng cách có trọng số (IDW)×Cokriging×Hồi quy Trọng số Địa lý (GWR)×Universal Kriging (Kriging with a Trend)×
Lĩnh vựcPhân tích không gianPhân tích không gianPhân tích không gianPhân tích không gian
HọRegression modelRegression modelRegression modelRegression model
Năm ra đời1968196320021969
Người khởi xướngDonald ShepardGeorges Matheron (geostatistics); multivariate extensionFotheringham, Brunsdon & CharltonGeorges Matheron
LoạiDeterministic spatial interpolationMultivariate geostatistical interpolationLocal spatial regressionGeostatistical interpolation with spatial trend
Công trình gốcShepard, D. (1968). A two-dimensional interpolation function for irregularly-spaced data. Proceedings of the 23rd ACM National Conference, 517–524. 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: 978-0471496168Matheron, G. (1963). Principles of geostatistics. Economic Geology, 58(8), 1246–1266. DOI ↗
Tên gọi khácIDW, inverse distance interpolation, Shepard's method, ters mesafe ağırlıklı enterpolasyonco-kriging, multivariate kriging, ortak krigingGWR, local regression, spatially varying coefficient regression, Coğrafi Ağırlıklı Regresyon (GWR)kriging with a trend, kriging with drift, trend kriging, evrensel kriging
Liên quan3353
Tóm tắtInverse 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.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.Universal 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.
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ScholarGateSo sánh phương pháp: Inverse Distance Weighting · Cokriging · Geographically Weighted Regression · Universal Kriging. Truy cập ngày 2026-06-20 từ https://scholargate.app/vi/compare