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反距离加权法 (IDW)×地理加权回归 (GWR)×通用克里金 (带趋势的克里金)×
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196820021969
提出者Donald ShepardFotheringham, Brunsdon & CharltonGeorges Matheron
类型Deterministic spatial interpolationLocal spatial regressionGeostatistical interpolation with spatial trend
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 ↗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 ↗
别名IDW, inverse distance interpolation, Shepard's method, ters mesafe ağırlıklı enterpolasyonGWR, local regression, spatially varying coefficient regression, Coğrafi Ağırlıklı Regresyon (GWR)kriging with a trend, kriging with drift, trend kriging, evrensel kriging
相关353
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.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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ScholarGate方法对比: Inverse Distance Weighting · Geographically Weighted Regression · Universal Kriging. 于 2026-06-20 检索自 https://scholargate.app/zh/compare