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反距离加权法 (IDW)×共克里金×地理加权回归 (GWR)×
领域空间分析空间分析空间分析
方法族Regression modelRegression modelRegression model
起源年份196819632002
提出者Donald ShepardGeorges Matheron (geostatistics); multivariate extensionFotheringham, Brunsdon & Charlton
类型Deterministic spatial interpolationMultivariate geostatistical interpolationLocal spatial regression
开创性文献Shepard, 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: 978-0471496168
别名IDW, 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)
相关335
摘要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.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.
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ScholarGate方法对比: Inverse Distance Weighting · Cokriging · Geographically Weighted Regression. 于 2026-06-20 检索自 https://scholargate.app/zh/compare