COMPARATIVE EVALUATION OF SPATIAL PREDICTION METHODS IN A FIELD EXPERIMENT FOR MAPPING SOIL POTASSIUM

Accurate prediction and mapping of soil nutrient levels are essential for implementing variable rate technology. For the prediction of soil potassium (K), we evaluated the performance of the inverse distance weight of powers 1, 2, and 3, ordinary kriging, cokriging, multiple linear regression assuming independent error, and multiple linear regression with autocorrelated error structure. Two forms of ordinary kriging were evaluated: kriging the residuals from a trend surface regression (geographic locations only as predictors) and kriging the residuals from a regression of K on geographic location and other soil property predictors (soil pH and apparent electrical conductivity, ECa). The autocorrelated error model as implemented in the Statistical Analysis System (SAS) mixed linear model was employed to adjust for autocorrelated error structure in the regression models used for prediction. For cokriging, either soil ECa or soil pH was used as a secondary soil property to predict K. The root mean square error (RMSE) and mean error (ME) calculated from an independent validation data set (n = 68) were used as comparison criteria. The best result was obtained with the methods that incorporated geographic locations, other soil property predictors, and the correlated error structure. This investigation demonstrated the flexibility of the regression-based autocorrelated error model for spatial prediction compared with other methods. Further, the results of this study have important implications for screening economically acceptable soil and site characteristics that can be used to improve prediction of soil nutrients at unsampled locations within a field.

[1]  J. C. Griffiths,et al.  Statistics and Data Analysis in Geology , 2005 .

[2]  R. A. Cooke,et al.  Assessment of Methods for Interpolating Steady-State Infiltrability , 1993 .

[3]  J. Sawyer Concepts of Variable Rate Technology with Considerations for Fertilizer Application , 1994 .

[4]  Michael Edward Hohn,et al.  An Introduction to Applied Geostatistics: by Edward H. Isaaks and R. Mohan Srivastava, 1989, Oxford University Press, New York, 561 p., ISBN 0-19-505012-6, ISBN 0-19-505013-4 (paperback), $55.00 cloth, $35.00 paper (US) , 1991 .

[5]  R. Reyment,et al.  Statistics and Data Analysis in Geology. , 1988 .

[6]  J. Bouma,et al.  Use of soil-map delineations to improve (Co-)kriging of point data on moisture deficits , 1988 .

[7]  Marc Voltz,et al.  Spatial interpolation of soil moisture retention curves , 1994 .

[8]  Robert Haining,et al.  Statistics for spatial data: by Noel Cressie, 1991, John Wiley & Sons, New York, 900 p., ISBN 0-471-84336-9, US $89.95 , 1993 .

[9]  Olaf Berke Estimation and Prediction in the Spatial Linear Model , 1999 .

[10]  M. Jacobs,et al.  Comparison of Methods for Interpolating Soil Properties Using Limited Data , 2001 .

[11]  H. Wackernagle,et al.  Multivariate geostatistics: an introduction with applications , 1998 .

[12]  C. Gotway,et al.  Comparison of kriging and inverse-distance methods for mapping soil parameters , 1996 .

[13]  Xiaojun Yang,et al.  Visual and Statistical Comparisons of Surface Modeling Techniques for Point-based Environmental Data , 2000 .

[14]  Carol A. Gotway,et al.  Geostatistical Methods for Incorporating Auxiliary Information in the Prediction of Spatial Variables , 1996 .

[15]  Arnold K. Bregt,et al.  The performance of spatial interpolation methods and choropleth maps to estimate properties at points: a soil survey case study. , 1996 .

[16]  Dennis Weber,et al.  Evaluation and comparison of spatial interpolators , 1992 .

[17]  Donald G. Bullock,et al.  A comparative study of interpolation methods for mapping soil properties , 1999 .

[18]  Timothy C. Coburn,et al.  Geostatistics for Natural Resources Evaluation , 2000, Technometrics.

[19]  Li Zheng,et al.  Geostatistics: Modeling Spatial Uncertainty , 2001 .

[20]  Donald E. Myers,et al.  Estimation of the Spatial Distribution of Soil Chemicals Using Pseudo-Cross-Variograms , 1992 .

[21]  John Triantafilis,et al.  COMPARISON OF STATISTICAL PREDICTION METHODS FOR ESTIMATING FIELD-SCALE CLAY CONTENT USING DIFFERENT COMBINATIONS OF ANCILLARY VARIABLES , 2001 .

[22]  Dale L. Zimmerman,et al.  A random field approach to the analysis of field-plot experiments and other spatial experiments , 1991 .

[23]  G. Marsily,et al.  Comparison of geostatistical methods for estimating transmissivity using data on transmissivity and specific capacity , 1987 .

[24]  F. J. Pierce,et al.  Map Quality for Site‐Specific Fertility Management , 2001 .

[25]  D. Myers Matrix formulation of co-kriging , 1982 .

[26]  N. Lam Spatial Interpolation Methods: A Review , 1983 .

[27]  Dominique King,et al.  Comparison of kriging with external drift and simple linear regression for predicting soil horizon thickness with different sample densities. , 2000 .

[28]  Salvatore Straface,et al.  Application of kriging with external drift to estimate hydraulic conductivity from electrical-resistivity data in unconsolidated deposits near Montalto Uffugo, Italy , 2000 .