Probabilistic models of spatial fluctuations of edaphic properties in native soils in steppe zone of Western Siberia

Abstract

Fluctuations of properties in an individuum (pedon) of a chestnut soil under different use (virgin soil, unirrigated arable soil, and irrigated arable soil) were quantitatively evaluated. It was shown that these fluctuations make up to 20-40% of the property changeability in an elementary soil area.  Probability distribution functions (pdf) with high p-values were considered as probabilistic models of soil properties.  Analysis of pdf regularities gives clear and stable information about difference of soil properties in the soil volumes in space in soil horizons under agricultural impacts. Information divergences quantify these regularities. Analysis of entropy value highlighted the main tendency of agricultural impact – the tendency of outstanding decreasing quantity of various microconditions of soil, which is important change of edaphic factor.

Keywords

• soil, properties, fluctuation, pdf, information divergence, and statistical entropy

References

1. All-Union Guidelines for Soil Survey and Compilation of Large-Scale Maps of Land Tenure, 1973. Moscow, Russia: Kolos.
2. Dmitriyev Ye. A., 2000. Mathematical Statistics in Soil Science. Moscow, Russia: Publishing Moscow University.
3. Gubarev, V.V., 1992. Probability models .Part 2. Novosibirsk, Russia: Publishing Novosibirsk State Technical University.
4. Lemeshko, B.Yu., 2005. Statistical Analysis of Univariant Observations of a Random Variable: a Program System. Novosibirsk, Russia: Publishing Novosibirsk State Technical University.
5. Mikheeva, I.V., 2001. Statistical Probability Models of Soil Properties (with Chestnut Soils of the Kulunda Steppe as an Example). Novosibirsk, Russia: Publishing Rossiyskoy Akademii Nauk
6. Mikheeva, I.V., 2004. Statistical Entropy as a Criterion for Estimation Evolution and Dynamics of Top Soil. Sibirskii Ekologicheskii Zhurnal 3, 445-454
7. Mikheeva, I.V., 2005. Statistical Probability evaluation of sustainability and variability of nature objects under modern processes (with Chestnut Soils of the Kulunda Steppe as an Example). Novosibirsk, Russia: Publishing Rossiyskoy Akademii Nauk.
8. Mikheeva, I.V., 2005. Spatial Fluctuations and Statistical Probability Distributions of Chestnut Soil Properties in the Kulunda Steppe. Eurasian Soil Science 38 (3), 278-288.

9. Mikheeva, I.V., 2009. Divergence of Probability Distributions of the Soil Properties as a Quantitative Characteristic of the Soil Cover Transformation. Contemporary Problems of Ecology 2(6), 667-670.