Using Deterministic and Geostatistical Techniques to Estimate Soil Salinity at the Sub-Basin Scale and the Field Scale

Two different techniques are evaluated in this study to estimate soil salinity in the lower Arkansas River Valley area in Colorado for both the sub-basin and field scales. Inverse Distance Weight (IDW) and Ordinary Kriging (OK) are evaluated as deterministic and geostatistical techniques respectively. Deterministic techniques depend on the assumption that the interpolating surface should be influenced mostly by the nearby points and less by the more distant points. Kriging techniques rely on the notion of autocorrelation and assume the data comes from a stationary stochastic process. The objectives of this study are: 1) compare the performance of the deterministic versus the geostatistical kriging techniques on the sub-basin and the field scales; 2) evaluate the effect of sampling density on the accuracy of both the deterministic and the geostatistical kriging techniques; 3) evaluate the effect of sampling distribution on both techniques; and 4) evaluate the effect of the existence of autocorrelation among data for both techniques. Different data sets for both field scale and sub-basin scale were collected in the study area where soil salinity impacts the crop productivity. Several data sets collected at the field scale and the sub- basin scale in the downstream area were evaluated. These data sets represent different sampling densities and spacing, different data distributions, and different amount of autocorrelation among the data. The results of this study indicate that there is no significant difference in the performance of both deterministic and geostatistical techniques at the field scale. However, the performance of the deterministic technique was significantly better than the geostatistical technique for the sub- basin scale (due to the lack of autocorrelation at this scale). The data distribution has no significant role on the performance of both techniques.

[1]  Alex B. McBratney,et al.  Comparison of several spatial prediction methods for soil pH , 1987 .

[2]  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 .

[3]  E. Hosseini,et al.  Theoretical and Experimental Performance of Spatial Interpolation Methods for Soil Salinity Analysis , 1994 .

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

[5]  David R. Lapen,et al.  Spatial Analysis of Seasonal and Annual Temperature and Precipitation Normals in Southern Ontario, Canada , 2003 .

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

[7]  Jennifer A. Miller,et al.  Incorporating spatial dependence in predictive vegetation models , 2007 .

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

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

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

[11]  J. Nyrop,et al.  Estimation of local mean population densities of Japanese beetle grubs (Scarabaeidae: Coleoptera) , 1999 .

[12]  J. S. Samra,et al.  MODELING OF VARIATION IN A SODIUM‐CONTAMINATED SOIL AND ASSOCIATED TREE GROWTH , 1993 .

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

[14]  L. Pozdnyakova,et al.  Geostatistical Analyses of Soil Salinity in a Large Field , 1999, Precision Agriculture.

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

[16]  Daniel Wartenberg,et al.  Estimating exposure using kriging: a simulation study. , 1991 .

[17]  Francisca López-Granados,et al.  Spatial variability of agricultural soil parameters in southern Spain , 2002, Plant and Soil.

[18]  V. J. Kollias,et al.  Mapping the soil resources of a recent alluvial plain in Greece using fuzzy sets in a GIS environment , 1999 .

[19]  Ricardo A. Olea,et al.  Geostatistical glossary and multilingual dictionary , 1991 .

[20]  D. Weber,et al.  Evaluation and comparison of spatial interpolators II , 1992 .

[21]  J. D. Rhoades,et al.  Soil salinity assessment :methods and interpretation of electrical conductivity measurements , 1999 .

[22]  A. Utset,et al.  A geostatistical method for soil salinity sample site spacing , 1998 .

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

[24]  R. Weisz,et al.  Map Generation in High-Value Horticultural Integrated Pest Management: Appropriate Interpolation Methods for Site-Specific Pest Management of Colorado Potato Beetle (Coleoptera: Chrysomelidae) , 1995 .

[25]  D. Corwin,et al.  Application of Soil Electrical Conductivity to Precision Agriculture : Theory , Principles , and Guidelines , 2003 .

[26]  I. A. Nalder,et al.  Spatial interpolation of climatic Normals: test of a new method in the Canadian boreal forest , 1998 .

[27]  D. Wartenberg,et al.  Estimating exposure using kriging: a simulation study. , 1991, Environmental health perspectives.

[28]  J. Salas,et al.  A COMPARATIVE ANALYSIS OF TECHNIQUES FOR SPATIAL INTERPOLATION OF PRECIPITATION , 1985 .