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Nonlinear Processes in Geophysics An interactive open-access journal of the European Geosciences Union
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Volume 15, issue 3
Nonlin. Processes Geophys., 15, 457–468, 2008
https://doi.org/10.5194/npg-15-457-2008
© Author(s) 2008. This work is distributed under
the Creative Commons Attribution 3.0 License.

Special issue: Nonlinear and Scaling Processes in Hydrology and Soil...

Nonlin. Processes Geophys., 15, 457–468, 2008
https://doi.org/10.5194/npg-15-457-2008
© Author(s) 2008. This work is distributed under
the Creative Commons Attribution 3.0 License.

  23 Jun 2008

23 Jun 2008

Assessing soil surface roughness decay during simulated rainfall by multifractal analysis

E. Vidal Vázquez1, R. García Moreno2, J. G. V. Miranda3, M. C. Díaz2, A. Saá Requejo2, J. Paz Ferreiro1, and A. M. Tarquis4 E. Vidal Vázquez et al.
  • 1Facultad de Ciencias, Universidade da Coruña, Spain
  • 2Departamento de Edafología, E.T.S. Ingenieros Agrónomos, UPM, Ciudad Universitaria, Madrid, Spain
  • 3Instituto de Física, Universidade Federal da Bahia, Brazil
  • 4Dpto. de Matemática Aplicada, E.T.S. Ingenieros Agrónomos, UPM, Ciudad Universitaria, Madrid, Spain

Abstract. Understanding and describing the spatial characteristics of soil surface microrelief are required for modelling overland flow and erosion. We employed the multifractal approach to characterize topographical point elevation data sets acquired by high resolution laser scanning for assessing the effect of simulated rainfall on microrelief decay. Three soil surfaces with different initial states or composition and rather smooth were prepared on microplots and subjected to successive events of simulated rainfall. Soil roughness was measured on a 2×2 mm2 grid, initially, i.e. before rain, and after each simulated storm, yielding a total of thirteen data sets for three rainfall sequences. The vertical microrelief component as described by the statistical index random roughness (RR) exhibited minor changes under rainfall in two out of three study cases, which was due to the imposed wet initial state constraining aggregate breakdown. The effect of cumulative rainfall on microrelief decay was also assessed by multifractal analysis performed with the box-count algorithm. Generalized dimension, Dq, spectra allowed characterization of the spatial variation of soil surface microrelief measured at the microplot scale. These Dq spectra were also sensitive to temporal changes in soil surface microrelief, so that in all the three study rain sequences, the initial soil surface and the surfaces disturbed by successive storms displayed great differences in their degree of multifractality. Therefore, Multifractal parameters best discriminate between successive soil stages under a given rain sequence. Decline of RR and multifractal parameters showed little or no association.

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