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Ordinary Kriging×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
系統Regression modelRegression model
提唱年19631969
提唱者Georges Matheron (formalising D.G. Krige's empirical work)Georges Matheron
種類Geostatistical interpolationGeostatistical interpolation with spatial trend
原典Matheron, G. (1963). Principles of geostatistics. Economic Geology, 58(8), 1246-1266. DOI ↗Matheron, G. (1963). Principles of geostatistics. Economic Geology, 58(8), 1246–1266. DOI ↗
別名OK, kriging interpolation, geostatistical interpolation, BLUE spatial predictorkriging with a trend, kriging with drift, trend kriging, evrensel kriging
関連43
概要Ordinary Kriging (OK) is the standard geostatistical method for interpolating a continuous spatial variable at unsampled locations. It derives optimal, unbiased weights from the spatial covariance structure of the data, making it the Best Linear Unbiased Predictor (BLUP) under stationarity assumptions. Unlike simpler distance-based methods, it also provides a prediction uncertainty (kriging variance) at every interpolated point.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: Ordinary Kriging · Universal Kriging. 2026-06-18に以下より取得 https://scholargate.app/ja/compare