Spatial prediction and ordinary kriging

Authors

Noel A. Cressie, University of WollongongFollow

RIS ID

73044

Publication Details

Cressie, N. A. (1988). Spatial prediction and ordinary kriging. Mathematical Geology, 20 (4), 405-421.

Abstract

Suppose data {Z(si):i=1, ..., n} are observed at spatial locations {si:i=1, ..., n}. From these data, an unknown Z(s0) is to be predicted at a known location s0c, or, if Z(s0) has a component of measurement error, then a smooth version S(s0) 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. 1988 International Association for Mathematical Geology.