Interpolating Soil Properties Using Kriging Combined with Categorical Information of Soil Maps

Kriging interpolation is frequently used for mapping soil properties in the analysis and interpretation of spatial variation of soil. Mapping quality could affect the performance of site-specific management. Soil map–delineation in existing soil maps showing abrupt changes at the boundaries between different soil types can provide valuable categorical information for interpreting variation in soil properties. In this study, map units were used to group sampled observations, and the variation in soil properties was separated into two parts: (i) between soil types (i.e., soil type effect) and (ii) within each soil type (i.e., residual). A kriging model combined with soil map–delineation, taking into account the variation components of soil type effect and residual, was proposed. A comparison of performance of kriging combined with soil map–delineation (KSMD) and ordinary kriging (OK) was performed to assess the feasibility of KSMD for improving the interpolation of soil properties. Real data of soil properties (sand, silt, and clay contents; pH; and Mehlich-3 Ca and P) in a field of midwestern Taiwan were used for illustration. The analysis of variance table revealed that the contribution of soil types is a significant source of the spatial variation of soil. The spatial variation components of soil type effect and residual were thus determined for KSMD. When comparing KSMD and OK, the mean errors of KSMD and OK estimations were similar. However, decreases in estimation of imprecision for KSMD relative to OK (DIP %) for the 127 validation locations for sand, silt, and clay contents; pH; and Mehlich-3 Ca and P were 34, 40, 48, 20, 42, and 3%, respectively. These results suggested that the proposed KSMD method could use the information of soil map–delineation to increase precision of the interpolation of soil properties.

[1]  S. Erşahin.  Comparing Ordinary Kriging and Cokriging to Estimate Infiltration Rate , 2003 .

[2]  F. J. Pierce,et al.  Soil Carbon Maps , 2003 .

[3]  A. Dobermann,et al.  How good is a reconnaissance soil map for agronomic purposes , 1996 .

[4]  G. Gee,et al.  Particle-size Analysis , 2018, SSSA Book Series.

[5]  A. Kravchenko.  Influence of Spatial Structure on Accuracy of Interpolation Methods , 2003 .

[6]  F. Carré,et al.  Quantitative mapping of soil types based on regression kriging of taxonomic distances with landform and land cover attributes , 2002 .

[7]  T. Oberthür,et al.  Mapping soil texture classes using field textuing, particle size distribution and local knowledge by both conventional and geostatisical methods , 1999 .

[8]  Boucneau,et al.  Integrating properties of soil map delineations into ordinary kriging , 1998 .

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

[10]  David G. Hopkins,et al.  Improved Prediction and Mapping of Soil Copper by Kriging with Auxiliary Data for Cation-Exchange Capacity , 2003 .

[11]  G. Heuvelink,et al.  A generic framework for spatial prediction of soil variables based on regression-kriging , 2004 .

[12]  Alex B. McBratney,et al.  Spatial prediction of soil properties from landform attributes derived from a digital elevation model , 1994 .

[13]  Gerard B. M. Heuvelink,et al.  Combining soil maps with interpolations from point observations to predict quantitative soil properties , 1992 .

[14]  Jun Zhu,et al.  Combined mapping of soil properties using a multi-scale tree-structured spatial model , 2004 .

[15]  John Triantafilis,et al.  Five Geostatistical Models to Predict Soil Salinity from Electromagnetic Induction Data Across Irrigated Cotton , 2001 .

[16]  G. Vance,et al.  Forest vegetation and origin of some spodic horizons, Michigan☆ , 1989 .

[17]  A. Utset,et al.  A comparison of soil maps, kriging and a combined method for spatially predicting bulk density and field capacity of ferralsols in the Havana-Matanzas plain. , 2000 .

[18]  A. Mehlich.  Mehlich 3 soil test extractant: A modification of Mehlich 2 extractant , 1984 .

[19]  Pierre Goovaerts,et al.  Integrating soil map information in modelling the spatial variation of continuous soil properties , 1995 .

[20]  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 .

[21]  Antonio P. Mallarino,et al.  Spatial Variability Patterns of Phosphorus and Potassium in No‐Tilled Soils for Two Sampling Scales , 1996 .

[22]  J. P. Riley,et al.  A modified single solution method for the determination of phosphate in natural waters , 1962 .

[23]  Margaret A. Oliver,et al.  The spatial prediction of soil mineral N and potentially available N using elevation , 2005 .

[24]  Gerard B. M. Heuvelink,et al.  Soil water content interpolation using spatio-temporal kriging with external drift , 2003 .

[25]  D. Brus,et al.  A comparison of kriging, co-kriging and kriging combined with regression for spatial interpolation of horizon depth with censored observations , 1995 .

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

[27]  A. McBratney,et al.  Further results on prediction of soil properties from terrain attributes: heterotopic cokriging and regression-kriging , 1995 .

[28]  K. Juang,et al.  A Comparison of Three Kriging Methods Using Auxiliary Variables in Heavy-Metal Contaminated Soils , 1998 .

[29]  E. O. Mclean.  Soil pH and Lime Requirement , 1982 .

[30]  T. Mueller,et al.  Map Quality for Ordinary Kriging and Inverse Distance Weighted Interpolation , 2004 .

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

[32]  J. Francis.  Statistica for Windows , 1995 .

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

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

[35]  Philippe Lagacherie,et al.  Predicting soil properties over a region using sample information from a mapped reference area , 1997 .

[36]  Clayton V. Deutsch,et al.  GSLIB: Geostatistical Software Library and User's Guide , 1993 .