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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)×
分野空間分析空間分析空間分析
系統Regression modelRegression modelRegression model
提唱年196819632002
提唱者Donald ShepardGeorges Matheron (geostatistics); multivariate extensionFotheringham, Brunsdon & Charlton
種類Deterministic spatial interpolationMultivariate geostatistical interpolationLocal spatial regression
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: 978-0471496168
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)
関連335
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.
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ScholarGate手法を比較: Inverse Distance Weighting · Cokriging · Geographically Weighted Regression. 2026-06-20に以下より取得 https://scholargate.app/ja/compare