Application of geostatistical techniques in mapping topsoil and subsoil chemical composition

tekin susam


Geostatistical techniques are commonly used for converting field measurements into continuous surface.  The objective of this study was to show the better use of them in the interpolations of the topsoil and subsoil variables in an agricultural catchment.  This study was conducted in a watershed basin in Tokat, Turkey in 2011.  As an example, the spatial variability of pH, and two important heavy metal concentrations, Fe and Cu were examined. The soil samples were taken and analyzed at two depths (0 - 30 and 30 - 60 cm). After checking normality, stationary and outliers, the ordinary kriging and isotropic cokriging methods were conducted to infer the spatial distribution of variables selected by using training dataset that contains 115 sample points and test dataset that contain 27 sample points.  The proposed method (cokriging), in which two or more variables are used, were compared with the method (kriging) in which one variable is used.  The results showed that the approach, had higher accuracy statistics than the conventional kriging mapping method.

Keywords: co-kriging; geostatistics; GIS; kriging; spatial variability


Geostatistic, kriging, co-kriging, GIS

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Aiken RM, Jawson MD., Grahammer K, Polymenopoulos AD. 1991. Positional, spatially correlated and random components of variability in carbon dioxide flux. J Environ Qual 20: 301 - 308.

Aksakal EL, Öztaş T, Özgül M. 2011. Time-dependent changes in distribution patterns of soil bulk density and penetration resistance in a rangeland under overgrazing. Turk J Agric For 35: 195 - 204

Burrough P, MacDonnell RA. 1998. Principles of Geographical Information Systems. New York. Oxford Univ. Press

Anderson PR, Christensen TH. 1988. Distribution Coefficients of Cd, Co, Ni, and Zn in Soils. J Soil Sci 39: 15 - 22.

Bonmati M, Ceccanti B, Nanniperi P. 1991. Spatial variability of phosphatase, urease, protease, organic carbon and total nitrogen in soil. Soil Biol Biochem 23: 391 - 396.

Cambardella CA, Moorman TB, Novak JM, Parkin TB, Karlen DL, Turko RF. 1994. Field-scale variability of soil properties in central Iowa soils. Soil Sci Soc Am J 58: 1501 - 1511.

Diekmann LO, Lawrence D, Okin GS. 2007. Changes in the spatial variation of soil properties following shifting cultivation in a Mexican tropical dry forest. Biogeochemistry 84: 99 - 113.

Eghball B, Hergert GW, Loseing GW, Ferguson RB. 1999. Fractal analysis of spatial and temporal variability. Geoderma 88: 349 - 362.

ESRI Corperation Environmental System Research Institute. 2001. ArcMap Version 9.3.2 Users Guide. ESRI Inc Redlands CA USA.

IITA. 1982. Automated and semi-automated methods of soil and plant analysis manual series No.7. IITA Ibadan-Nigeria.

Isaaks EH, Srivastava RM. 1989. An introduction to applied geostatistics. New York NY, USA: Oxford University Press.

Kalivas DP, Triantakonstantis VJ, Kollias VJ. 2002. Spatial prediction of two soil properties using topographic information. Global Nest J 4: 41 - 49.

Lascano RJ, Hatfield JL. 1992. Spatial variability of evaporation along two transects of a bare soil. Soil Sci Soc Am J 56: 341 - 346.

Lorenz SE, Hamon RE, McGrath SP, Holm PE, Christensen TH. 1994. Applications of Fertilizer Cations Affect Cadmium and Zinc Concentration in Soil Solutions and Uptake by Plants. Eur J Soil Sci 45: 159 - 165.

McAndrew DW, Loewen-Rudgers LA, Racz GJ. 1984. A growth study of copper nutrition of cereal and oilgrain crops in organic soil. Can J Plant Sci 64: 505 - 510.

McLean EO. 1982. Soil pH and lime requirement. In: Methods of Soil Analysis, Part 2, Chemical and Microbiological Properties, 2nd ed (Ed. AL Page). Agronomy 9: 199-224.

Myers JC. 1997. Geostatistical error management. Van Nostrand Reinhold, New York.

Parkin TB. 1993. Spatial variability of microbial process in soil a review. J Environ Qual 22: 409 - 411.

Piening LJ, MacPherson DJ, Malhi SS. 1989. Stem melanosis of some wheat, barley and oat cultivars on a copper deficient soil. Can J Plant Pathol 11: 65 - 67.

Rochette P, Desjardins RL, Pattey E. 1991. Spatial and temporal variability of soil respiration in agricultural fields. Can J Soil Sci. 71: 189 - 196.

Rossi RE, Mulla DJ, Journel AG, Franz EH. 1992. Geostatistical tools for modeling and interpreting ecological spatial dependence. Ecol Monogr 62: 277 - 314.

Journel AG, Huijbregts HJ. 1991. Mining Geostatistics. Academic Press.

Soon YK, Bates TE. 1982. Chemical Pools of Cadmium, Nickel and Zinc in Polluted Soils and Some Preliminary Indications of their Availability to Plants, J Soil Sci 33: 477 - 488.

Sutherland RA, Kessel CV, Pennock DJ. 1991. Spatial variability of nitrogen-15 natural abundance. Soil Sci Soc Am J 55: 1339 - 1347.

Trangmar BB, Yost RS, Uehara G. 1985. Application of geostatistics to spatial studies of soil properties. Adv Agron 38: 45 - 93.

Veronese Júnior V, Carvalho MP, Dafonte J, Freddi OS, Vidal Vázquez E, Ingaramo OE. 2006. Spatial variability of soil water content and mechanical resistance of Brazilian ferrasol. Soil Till Res 85: 166 - 177.

Webster R. 2001. Statistics to support soil research and their presentation. Eur J Soil Sci 52: 331 - 340.

Weisberg S. 1985. Applied Linear Regression, Wiley series in probability and mathematical statistics, John Wiley & Sons: New York, , 324 pp.

WHO. 2006. Preventing and controlling micronutrient deficiencies in populations affected by an emergency. Internet accessed on 13 December, 2012: ( ).

Wilding LP. 1985. Spatial variability: its documentation, accommodation and implication to soil surveys, pp. 166-194. In DR. Nielsen, J Bouma (eds.). Soil Spatial Variability: Pudoc, Wageningen, Netherlands.


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