Abstract
Suppose data {Z(s i ):i=1, ..., n} are observed at spatial locations {s i :i=1, ..., n}. From these data, an unknownZ(s 0) is to be predicted at a known locations 0c, or, ifZ(s0) has a component of measurement error, then a smooth versionS(s 0) should be predicted. This article considers the assumptions needed to carry out the spatial prediction using ordinary kriging, and looks at how nugget effect, range, and sill of the variogram affect the predictor. It is concluded that certain commonly held interpretations of these variogram parameters should be modified.
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Cressie, N. Spatial prediction and ordinary kriging. Math Geol 20, 405–421 (1988). https://doi.org/10.1007/BF00892986
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DOI: https://doi.org/10.1007/BF00892986