SPATIAL PREDICTION OF SOIL-SALINITY USING ELECTROMAGNETIC INDUCTION TECHNIQUES .1. STATISTICAL PREDICTION MODELS - A COMPARISON OF MULTIPLELINEAR-REGRESSION AND COKRIGING
Sm. Lesch et al., SPATIAL PREDICTION OF SOIL-SALINITY USING ELECTROMAGNETIC INDUCTION TECHNIQUES .1. STATISTICAL PREDICTION MODELS - A COMPARISON OF MULTIPLELINEAR-REGRESSION AND COKRIGING, Water resources research, 31(2), 1995, pp. 373-386
We describe a regression-based statistical methodology suitable for pr
edicting field scale spatial salinity (EC(e)) conditions from rapidly
acquired electromagnetic induction (EC(a)) data. This technique uses m
ultiple linear regression (MLR) models to estimate soil salinity from
EC(a) survey data. The MLR models incorporate multiple EC(a) measureme
nts and trend surface parameters to increase the prediction accuracy a
nd can be fitted from limited amounts of EC(e) calibration data. This
estimation technique is compared to some commonly recommended cokrigin
g techniques, with respect to statistical modeling assumptions, calibr
ation sample size requirements, and prediction capabilities. We show t
hat MLR models are theoretically equivalent to, and cost-effective rel
ative to cokriging for estimating a spatially distributed random varia
ble when the residuals from the regression model are spatially uncorre
lated. MLR modeling and prediction techniques are demonstrated with da
ta from three salinity surveys.