Multifractal Analysis of Soil Surface Roughness

García Moreno, Rosario and Diaz Alvarez, Maria Cruz and Saa Requejo, Antonio and Tarquis Alfonso, Ana Maria (2008). Multifractal Analysis of Soil Surface Roughness. "Vadose Zone Journal", v. 7 (n. 2); pp. 512-520. ISSN 1539-1663.


Title: Multifractal Analysis of Soil Surface Roughness
  • García Moreno, Rosario
  • Diaz Alvarez, Maria Cruz
  • Saa Requejo, Antonio
  • Tarquis Alfonso, Ana Maria
Item Type: Article
Título de Revista/Publicación: Vadose Zone Journal
Date: May 2008
ISSN: 1539-1663
Volume: 7
Freetext Keywords: GB, gliding box algorithm; MFA, multifractal analysis; MFS, multifractal spectrum; RD, random data set; SMV, semivariogram; SSR, soil surface roughness.
Faculty: E.T.S.I. Agrónomos (UPM) [antigua denominación]
Department: Edafología [hasta 2014]
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Soil surface roughness (SSR) is a parameter highly suited to the study of soil susceptibility to wind and water erosion. The development of a methodology for quantifying SSR is therefore instrumental to soil evaluation. We developed such a method, based on the multifractal analysis (MFA) of soil elevation measurements collected at the intersections on a 2- by 2-cm2 grid in a 200- by 200-cm2 plot. Samples were defined using the gliding box algorithm (GB), in which a box of a given size "glides" across the grid map in all possible directions. The advantage of the GB over the box counting algorithm is that it yields a greater number of large sample sizes, which usually leads to better statistical results. Standard deviation, semivariogram fractal dimension, and semivariogram crossover length were estimated for all scenarios to compare the results of SSR multifractal analysis to indices found with traditional techniques. For its high sensitivity to the spatial arrangement implicit in a data set, MFA appears to be better suited than classical indices to compare plots tilled under different management criteria. The results showed that MFA is able to effectively reflect the heterogeneity and complexity of agricultural SSR. Based on this type of analysis, two new indices have been defined to compare the multifractal spectrum characteristics of the raw data to the characteristics of a random field with the same average and SD.

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Item ID: 2510
DC Identifier:
OAI Identifier:
DOI: 10.2136/vzj2007.0016
Official URL:
Deposited by: Memoria Investigacion
Deposited on: 09 Mar 2010 12:04
Last Modified: 20 Apr 2016 12:11
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