Journal cover Journal topic
Biogeosciences An interactive open-access journal of the European Geosciences Union
Journal topic
Volume 7, issue 11
Biogeosciences, 7, 3799–3815, 2010
https://doi.org/10.5194/bg-7-3799-2010
© Author(s) 2010. This work is distributed under
the Creative Commons Attribution 3.0 License.

Special issue: Modeling soil system: complexity under your feet

Biogeosciences, 7, 3799–3815, 2010
https://doi.org/10.5194/bg-7-3799-2010
© Author(s) 2010. This work is distributed under
the Creative Commons Attribution 3.0 License.

  24 Nov 2010

24 Nov 2010

Fractal Metrology for biogeosystems analysis

V. Torres-Argüelles1, K. Oleschko2, A. M. Tarquis3, G. Korvin4, C. Gaona2, J.-F. Parrot5, and E. Ventura-Ramos1 V. Torres-Argüelles et al.
  • 1Universidad Autónoma de Querétaro, Querétaro, Mexico
  • 2Centro de Geociencias, Universidad Nacional Autónoma de México (UNAM), Blvd. Juriquilla 3001, 76220, Querétaro, Mexico
  • 3Dept. of Applied Mathematics to Agricultural Engineering (E.T.S.I.A.) C.E.I.G.R.A.M., Technical University of Madrid (U.P.M.), Ciudad Universitaria, 28040, Madrid, Spain
  • 4King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia
  • 5Instituto de Geografía, UNAM, Ciudad Universitaria, México, Distrito Federal, Mexico

Abstract. The solid-pore distribution pattern plays an important role in soil functioning being related with the main physical, chemical and biological multiscale and multitemporal processes of this complex system. In the present research, we studied the aggregation process as self-organizing and operating near a critical point. The structural pattern is extracted from the digital images of three soils (Chernozem, Solonetz and "Chocolate" Clay) and compared in terms of roughness of the gray-intensity distribution quantified by several measurement techniques. Special attention was paid to the uncertainty of each of them measured in terms of standard deviation. Some of the applied methods are known as classical in the fractal context (box-counting, rescaling-range and wavelets analyses, etc.) while the others have been recently developed by our Group. The combination of these techniques, coming from Fractal Geometry, Metrology, Informatics, Probability Theory and Statistics is termed in this paper Fractal Metrology (FM). We show the usefulness of FM for complex systems analysis through a case study of the soil's physical and chemical degradation applying the selected toolbox to describe and compare the structural attributes of three porous media with contrasting structure but similar clay mineralogy dominated by montmorillonites.

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