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逆距離加重法 (IDW)×共クライング×地理的に重み付けされた回帰分析 (GWR)×ユニバーサル・クリーギング(トレンド付きクリーギング)×
分野空間分析空間分析空間分析空間分析
系統Regression modelRegression modelRegression modelRegression model
提唱年1968196320021969
提唱者Donald ShepardGeorges Matheron (geostatistics); multivariate extensionFotheringham, Brunsdon & CharltonGeorges Matheron
種類Deterministic spatial interpolationMultivariate geostatistical interpolationLocal spatial regressionGeostatistical interpolation with spatial trend
原典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: 978-0471496168Matheron, G. (1963). Principles of geostatistics. Economic Geology, 58(8), 1246–1266. DOI ↗
別名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)kriging with a trend, kriging with drift, trend kriging, evrensel kriging
関連3353
概要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.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手法を比較: Inverse Distance Weighting · Cokriging · Geographically Weighted Regression · Universal Kriging. 2026-06-20に以下より取得 https://scholargate.app/ja/compare