Keywords
geterogenization
soil properties
How to Cite
Abstract
Spatial variation of soil properties within polygon on the agricultural field occupied with corn have been considered in article. Geostatistics parameter estimation had been drawn by Bayesian inference. As spatial model the Matern variogram has been considered. Such approach allowed adding the existing list of the geostatistics parameters with smoothing from this model. Such edaphic parameters as soil density, humidity, temperature, and electrical conductivity have been considered. 100 per cent of variation of investigated property could be explained by nugget-effect that considered as null-alternative. Such situation is observed after bedrock machining. Formation of spatial patterns of edaphic properties was considered as a result of exogenous factors (relief, vegetation, gradient of climatic conditions) and endogenous like an inherent soli ability to self-organization.
Key words: Bayesian inference, geterogenization, soil properties
References
Демьянов В. В. Геостатистика: теория и практика / В. В. Демьянов, Е. А. Савельева; под ред. Р. В. Арутюняна; Ин-т проблем безопасного развития атомной энергетики РАН. – М.: Наука, 2010. –327 с.
Медведев В. В. Временная и пространственная гетерогенизация распахиваемых почв / В. В. Медведев // Грунтознавство. – 2013. – Т. 14, № 1-2. – С. 5–22.
Медведев В. В. Плотность сложения почв (генетический, экологический и агрономический аспекты) / В. В. Медведев, Т. Е. Лындина, Т. Н. Лактионова // Харьков. – 2004. – 244 с.
Розанов Б.Г. Морфология почв / Б.Г. Розанов // М.: Академический Проект, 2004. – 432 с.
Смагин А.В. Некоторые критерии и методы оценки экологического состояния почв в связи с озеленением городских территорий / А.В. Смагин, Н.А. Азовцева, М.В. Смагина, А.Л. Степанов, А.Д. Мягкова, А.С. Курбатова // Почвоведение. – 2006. – № 5. – C. 603–615.
Abramowitz M. Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables / M. Abramowitz, I.E. Stegun (Eds.). – 1972. – 10th Printing. U.S. Department of Commerce, National Bureau of Standards, Washington DC. – 1044 p.
de Wijs H.J. Statistics of ore distribution: Part I. Frequency distribution of assay values / H.J. de Wijs // Journal of the Royal Netherlands Geological and Mining Society, New Series. – 1951. – Vol. 13. – P. 365– 375.
de Wijs H.J. Statistics of ore distribution: Part II. Theory of binomial distribution applied to sampling and engineering problems / H.J. de Wijs // Journal of the Royal Netherlands. Geological and Mining Society, New Series. – 1953. – Vol. 15. – P. 12– 24.
Diggle P. J. Bayesian inference in Gaussian model-based geostatistics / P. J. Diggle, P. J. Ribeiro // Geographical and Environmental Modelling. – Vol. 6, No. 2. – 2002. – P. 129–146.
Handcock M.S. A Bayesian analysis of kriging / M.S. Handcock, M.L. Stein // Technometrics. – 1993. – Vol. 35. – P. 403–410.
Lark R.M. Estimating variograms of soil properties by the method-of-moments and maximum likelihood / R.M. Lark // European Journal of Soil Science. – 2000. – Vol. 51. – P. 717– 728.
Lophaven S. Methods for estimating the semivariogram / S. Lophaven, J. Carstensen, H. Rootzen // Symposium i Anvendt Statistik, Institut for Informationsbehandling, Handelshojskolen i Arhus. – 2002. – P. 128–144.
Matern B. Spatial variation / B. Matern // Lecture Notes in Statistics. – 1986. – No. 36, Springer, New York. – 150 p.
McBratney A.B. Estimating average and proportional variograms of soil properties and their potential use in precision agriculture / A.B. McBratney, M.J. Pringle // Precision Agriculture. – 1999. – Vol. 1. – P. 125– 152.
McCullagh P Evidence for conformal invariance of crop yields / P. McCullagh, D. Clifford // Proceedings of the Royal Society A:
Mathematical, Physical and Engineering Science. 2006. – 462. – Р. 2119–2143.
Minasny B. The Matern function as a general model for soil variograms / B. Minasny, A. B. McBratney // Geoderma. – 2005. – Vol. 128. – P. 192– 207.
Pennisi B.V. 3 ways to measure medium EC / B.V. Pennisi, M. van Iersel // GMPro. – 2002. – Vol. 22(1). – P. 46–48.
R Core Team. 2013. R: A Language and Environment for Statistical Computing. R Foundation for Statistical Computing, Vienna, Austria. http://www.R-project.org
Stein M.L. Interpolation of Spatial Data: Some Theory for Kriging / M.L. Stein. – New York: Springer. – 1999. – 247 p.
Webster R. Geostatistics for Environmental Scientists / R. Webster, M.A. Oliver. Chichester. – John Wiley & Sons. – 2001. – 271 p.
Whittle P. On stationary processes in the plane / P. Whittle // Biometrika. – 1954. – Vol.41. – P. 434– 449.
Zimmerman D.L. A comparison of spatial semivariogram estimators and corresponding ordinary kriging predictors / D.L. Zimmerman, M.B. Zimmerman // Technometrics. – 1991. – Vol. 33. – P. 77–91.
REFERENCES
Dem'yanov, V.V., Savel'eva, E.A. (2010). Geostatistika: teoriya i praktika. Institut problem bezopasnogo razvitiya atomnoy energetiki RAN. Moscow: Nauka.
Medvedev, V.V. (2013). Vremennaya i prostranstvennaya geterogenizatsiya raspakhivaemykh pochv. Gruntoznavstvo. 14 (1-2), 5–22.
Medvedev, V.V., Lyndina, T.E., Laktionova, T.N. (2004). Plotnost' slozheniya pochv (geneticheskiy, ekologicheskiy i agronomicheskiy aspekty). Khar'kov.
Rozanov, B.G. (2004). Morfologiya pochv. Moscow: Akademicheskiy Proekt.
Smagin, A.V., Azovtseva, N.A., Smagina, M.V., Stepanov, A.L., Myagkova, A.D., Kurbatova, A.S. (2006). Nekotorye kriterii i metody otsenki ekologicheskogo sostoyaniya pochv v svyazi s ozeleneniem gorodskikh territoriy. Pochvovedenie. 5, 603–615.
Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables. (1972). M. Abramowitz, I.E. Stegun (Eds.). 10th Printing. U.S. Department of Commerce, National Bureau of Standards, Washington DC.
de Wijs, H.J. (1951). Statistics of ore distribution: Part I. Frequency distribution of assay values. Journal of the Royal Netherlands Geological and Mining Society, New Series. 13, 365– 375.
de Wijs, H.J. (1953). Statistics of ore distribution: Part II. Theory of binomial distribution applied to sampling and engineering problems. Journal of the Royal Netherlands. Geological and Mining Society, New Series. 15, 12– 24.
Diggle, P. J., Ribejro, P.J. (2002). Bayesian inference in Gaussian model-based geostatistics. Geographical and Environmental Modelling. 6(2), 129–146.
Handcock, M.S., Stein, M.L. (1993). A Bayesian analysis of kriging. Technometrics. 35, 403–410.
Lark, R.M. (2000). Estimating variograms of soil properties by the method-of-moments and maximum likelihood. European Journal of Soil Science. 51, 717– 728.
Lophaven, S., Carstensen, J., Rootzen, H. (2002). Methods for estimating the semivariogram. Symposium i Anvendt Statistik, Institut for Informationsbehandling, Handelshojskolen i Arhus.
Matern, B. (1986). Spatial variation. Lecture Notes in Statistics. Springer, New York.
McBratney, A.B., Pringle, M.J. (1999). Estimating average and proportional variograms of soil properties and their potential use in precision agriculture. Precision Agriculture. 1, 125– 152.
McCullagh, P., Clifford, D. (2006). Evidence for conformal invariance of crop yields. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Science. 462, 2119–2143.
Minasny, B., McBratney, A.B. (2005). The Matern function as a general model for soil variograms. Geoderma. 128, 192– 207.
Pennisi, B.V., van Iersel, M. (2002). 3 ways to measure medium EC. GMPro. 22(1), 46–48.
R Core Team. (2013). R: A Language and Environment for Statistical Computing. R Foundation for Statistical Computing, Vienna, Austria. http://www.R-project.org
Stein, M.L. (1999). Interpolation of Spatial Data: Some Theory for Kriging. New York: Springer.
Webster, R., Oliver, M.A. (2001). Geostatistics for Environmental Scientists. Chichester. – John Wiley & Sons.
Whittle, P. (1954). On stationary processes in the plane. Biometrika. 41, 434– 449.
Zimmerman, D.L., Zimmerman, M.B. (1991). A comparison of spatial semivariogram estimators and corresponding ordinary kriging predictors. Technometrics. 33, 77–91.
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.