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Memorias de investigación
Ponencias en congresos:
Topological invariance and spatial scaling of surface roughness in two highly eroded zones of Mexico: a comparative study
Año:2011
Áreas de investigación
  • Física química y matemáticas,
  • Ingenierías
Datos
Descripción
The Fractal Image Informatics toolbox (Oleschko et al., 2008 a; Torres-Argüelles et al., 2010) was applied to extract, classify and model the topological structure and dynamics of surface roughness in two highly eroded catchments of Mexico. Both areas are affected by gully erosion (Sidorchuk, 2005) and characterized by avalanche-like matter transport. Five contrasting morphological patterns were distinguished across the slope of the bare eroded surface of Faeozem (Queretaro State) while only one (apparently independent on the slope) roughness pattern was documented for Andosol (Michoacan State). We called these patterns ?the roughness clusters? and compared them in terms of metrizability, continuity, compactness, topological connectedness (global and local) and invariance, separability, and degree of ramification (Weyl, 1937). All mentioned topological measurands were correlated with the variance, skewness and kurtosis of the gray-level distribution of digital images. The morphology0 spatial dynamics of roughness clusters was measured and mapped with high precision in terms of fractal descriptors. The Hurst exponent was especially suitable to distinguish between the structure of ?turtle shell? and ?ramification? patterns (sediment producing zone A of the slope); as well as ?honeycomb? (sediment transport zone B) and ?dinosaur steps? and ?corals? (sediment deposition zone C) roughness clusters. Some other structural attributes of studied patterns were also statistically different and correlated with the variance, skewness and kurtosis of gray distribution of multiscale digital images. The scale invariance of classified roughness patterns was documented inside the range of five image resolutions. We conjectured that the geometrization of erosion patterns in terms of roughness clustering might benefit the most semi-quantitative models developed for erosion and sediment yield assessments (de Vente and Poesen, 2005).
Internacional
Si
Nombre congreso
European Geosciences Union General Assembly (EGU 2011)
Tipo de participación
960
Lugar del congreso
Viena, Austria
Revisores
Si
ISBN o ISSN
1607-7962
DOI
Fecha inicio congreso
03/04/2011
Fecha fin congreso
08/04/2011
Desde la página
9467
Hasta la página
9467
Título de las actas
8th EGU General Assembly. Geophysical Research Abstracts, 13, 8656 (2011). [http://www.geophysical-research-abstracts.net]
Esta actividad pertenece a memorias de investigación
Participantes
  • Autor: Klaudia Oleschko (Universidad Nacional Autónoma de México)
  • Autor: Genaro Armendáriz (Universidad Autónoma de Querétaro,)
  • Autor: Eusebio Ventura (Universidad Autónoma de Querétaro)
  • Autor: Ana Maria Tarquis Alfonso (UPM)
  • Autor: Edith Perrier (IRD, Mathématiques et Informatique appliquées à la modélisation des systèmes complexes. Bondy Cedex France.)
Grupos de investigación, Departamentos, Centros e Institutos de I+D+i relacionados
  • Creador: Grupo de Investigación: Grupo de Automatización en Señal y Comunicaciones (GASC)
  • Centro o Instituto I+D+i: Centro de Estudios e Investigación para la Gestión de Riesgos Agrarios Medioambientales (CEIGRAM)
  • Departamento: Matemática Aplicada a la Ingeniería Agronómica
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