Definition
Soil spatial variability. Soil properties measured at different locations exhibit different values.
Self similarity. Soil properties measured at points close to each other are more similar than those located far apart.
Scale. It is a characteristic length or time.
Scale dependency. The statistical measure of soil properties change with change in scale.
Scale invariance. A measure of a soil property at a scale is a power function of the scale with the exponent independent of scale.
Introduction
Soil physical properties are highly variable and exhibit scale-dependent spatial variability (Nielsen et al., 1973; Burrough, 1983). For environmental, hydrological, and agricultural applications, some questions are always being asked about soil physical properties: What is the most representative scale of variability and at which scale should we measure the soil physical properties? How does the variability change with scales? How can we interpret and correlate soil processes over...
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Bibliography
Beven, K., 1995. Linking parameters across scales: subgrid parameterizations and scale dependent hydrological. Hydrological Processes, 9, 507–25.
Biswas, A., and Si, B. C., 2009. Spatial relationship between soil hydraulic and soil physical properties in a farm field. Canadian Journal of Soil Science, 89, 473–488.
Biswas, A., Si, B. C., and Walley, F. L., 2008. Spatial relationship between δ15N and elevation in agricultural landscapes. Nonlinear Processes in Geophysics, 15, 397–407.
Blöschl, G., 1999. Scaling issues in snow hydrology. Hydrological Processes, 13, 2149–2175.
Blöschl, G., and Sivapalan, M., 1995. Scale issues in hydrological modelling: a review. Hydrological Processes, 9, 251–290.
Burrough, P. A., 1983. Multiscale sources of spatial variation in soil: I. The application of fractal concepts to nested levels of soil variation. Journal of Soil Science, 34, 577–597.
Ceddia, M. B., Vieira, S. R., Villela, A. L. O., Mota, L. D. S., dos Anjos, L. H. C., and de Carvalho, D. F., 2009. Topography and spatial variability of soil physical properties. Scientia Agricola, 66, 338–352.
Goovaerts, P., 1997. Geostatistics for Natural Resources Evaluation. New York: Oxford University Press.
Isaaks, E., and Srivastava, R., 1989. An Introduction to Applied Geostatistics. Oxford: Oxford University Press.
Kravchenko, A. N., Boast, C. W., and Bulock, D. G., 1999. Multifractal analyses of soil properties. Agronomy Journal, 91, 1033–1041.
Lark, R. M., and Webster, R., 1999. Analysis and elucidation of soil variation using wavelets. European Journal of Soil Science, 50, 185–206.
Lee, C. K., 2002. Multifractal characteristics in air pollutant concentration time series. Water Air and Soil Pollution, 135, 389–409.
Mandelbrot, B. B., 1982. The Fractal Geometry of Nature. San Francisco: Freeman.
Millán, H., González-Posada, M., Aguilar, M., DomÃnguez, J., and Céspedes, L., 2003. On the fractal scaling of soil data. Particle size distributions. Geoderma, 117, 117–128.
Nielsen, D. R., Biggar, J. W., and Erh, K. T., 1973. Spatial variability of field measured soil water properties. Hilgardia, 42, 214–259.
Perfect, E., and Kay, B. D., 1995. Applications of fractals in soil and tillage research: a review. Soil and Tillage Research, 36, 1–20.
Si, B. C., 2003. Spatial and scale dependent soil hydraulic properties: a wavelet approach. In Pachepsky, Y., Radcliffe, D., and Selim, H. M. (eds.), Scaling Method in Soil Physics. New York: CRC Press, pp. 163–178.
Si, B. C., and Zeleke, T. B., 2005. Wavelet coherency analysis to relate saturated hydraulic properties to soil physical properties. Water Resources Research, 41, W11424, doi:10.1029/2005WR004118.
Si, B. C., Kachanoski, R. G., and Reynolds, W. D., 2007. Analysis of soil variability. In Gregorich, E. G. (ed.), Soil Sampling and Methods of Analysis. Boca Raton: CRC Press, pp. 1163–1191.
Stanley, H. E., and Meakin, P., 1988. Multifractal phenomena in physics and chemistry. Nature, 335, 405–409.
Taguas, F. J., MartÃn, M. A., and Perfect, E., 1999. Simulating and testing of self similar structures for soil particle size distributions using iterated function systems. Geoderma, 88, 191–203.
Trangmar, B. B., Yost, R. S., and Uehara, G., 1985. Application of geostatistics to spatial studies of soil properties. Advances in Agronomy, 38, 45–94.
Tyler, S. W., and Wheatcraft, S. W., 1992. Fractal scaling of soil particle size distribution: analysis and limitations. Soil Science Society of America Journal, 56, 362–369.
Zeleke, T. B., and Si, B. C., 2005. Scaling relationships between saturated hydraulic conductivity and soil physical properties. Soil Science Society of America Journal, 69, 1691–1702.
Zeleke, T. B., and Si, B. C., 2006. Characterizing scale dependent spatial relationship between soil properties using multifractal techniques. Geoderma, 134, 440–452.
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Biswas, A., Si, B.C. (2011). Scaling of Soil Physical Properties. In: Gliński, J., Horabik, J., Lipiec, J. (eds) Encyclopedia of Agrophysics. Encyclopedia of Earth Sciences Series. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-3585-1_243
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DOI: https://doi.org/10.1007/978-90-481-3585-1_243
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