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SPECIAL SECTION: MULTISCALE MAPPING

Multiscale Entropy-based Analysis of Soil Transect Data

^a Dpto. de Matemática Aplicada a la Ingeniería Agronómica. E.T.S. Ingenieros Agrónomos, U.P.M., Madrid, Spain
^b Rothamsted Research, Harpenden, Hertfordshire AL5 2JQ, UK
^c Dpto. de Química Agrícola. E.T.S. Ingenieros Agrónomos, U.P.M., Madrid, Spain
^d USDA-ARS, Environmental Microbial Safety Lab., Beltsville, MD 20705
^* Corresponding author (anamaria.tarquis{at}upm.es).

Received 22 February 2007.

A deeper understanding of the spatial variability of soil properties and the relationships between them is needed to scale up measured soil properties and to model soil processes. The object of this study was to describe the spatial scaling properties of a set of soil physical properties measured on a common 1024-m transect across arable fields at Silsoe in Bedfordshire, east-central England. Properties studied were volumetric water content (), total porosity (), pH, and N₂O flux. We applied entropy as a means of quantifying the scaling behavior of each transect. Finally, we examined the spatial intrascaling behavior of the correlations between and the other soil variables. Relative entropies and increments in relative entropy calculated for , , and pH showed maximum structure at the 128-m scale, while N₂O flux presented a more complex scale dependency at large and small scales. The intrascale-dependent correlation between and was negative at small scales up to 8 m. The rest of the intrascale-dependent correlation functions between with N₂O fluxes and pH were in agreement with previous studies. These techniques allow research on scale effects localized in scale and provide the information that is complementary to the information about scale dependencies found across a range of scales.

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				S. D. Logsdon, E. Perfect, and A. M. Tarquis Multiscale Soil Investigations: Physical Concepts and Mathematical Techniques Vadose Zone J., May 27, 2008; 7(2): 453 - 455. [Full Text] [PDF]