Boletín de Geología

Vol. 46 No. 3 (2024): Boletín de Geología
Tribute to the work of Dr. Gerardo Botero-Arango

A preliminary assessment of the topography of Botero’s Central Zone of Antioquia (Colombian Andes) via wavelet transforms

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  • Sergio Andrés Restrepo-Moreno,
  • Kenneth Roy Cabrera-Torres,
  • Luis Norberto Parra-Sánchez
Sergio Andrés Restrepo-Moreno
Universidad Nacional de Colombia
Bio
Kenneth Roy Cabrera-Torres
Universidad Nacional de Colombia
Luis Norberto Parra-Sánchez
Universidad Nacional de Colombia
DOI: https://doi.org/10.18273/revbol.v46n3-2024012

Published 2024-11-28

Keywords

  • Antioqueño Plateau,
  • Central Cordillera,
  • DEM,
  • Wavelets transform,
  • GRASS-R

How to Cite

Restrepo-Moreno, S. A., Cabrera-Torres, K. R., & Parra-Sánchez, L. N. (2024). A preliminary assessment of the topography of Botero’s Central Zone of Antioquia (Colombian Andes) via wavelet transforms. Boletín De Geología, 46(3), 265–285. https://doi.org/10.18273/revbol.v46n3-2024012

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Abstract

The classic work “Contribución al conocimiento de la geología de la zona central de Antioquia” by Dr. G. Botero (1963) addressed for the first time important morpho-climatic aspects in the northern portion of the Central and Western mountain ranges, incorporating altimetry, geomorphology, tectonics and climate as geological elements that shape a key morpho-tectonic province in the Northern Andes: the Antioquia Altiplano (AA) in the Eastern Massif (OM) of Antioquia, sensu Botero, and the canyon of the Medellín-Porce river that dissect it, and the Cauca and Magdalena rivers that delimit it to the west and east respectively. Given the technological restrictions at the time, Dr. Botero was unable to address these topics based on digital analysis of the terrain. His work was mainly descriptive-qualitative and focused on establishing genetic elements in the evolution of the landscape. We present a preliminary proposal for using digital elevation models (DEM-SRTM) and GRASS tools and R extensions, to facilitate a quantitative-geomorphometric treatment of the terrain to address the topographic expression of AA-MO as a set of periodic-quasiperiodic signals, specifically through wavelet transforms. We preliminarily evaluate the role of the Haar wavelet transform both in a synthetic relief and a real case study on a portion of the MO, incorporating elements of the AA and the canyons/valleys of the Medellín and Cauca rivers. The dyadic DEM segment of the MO (~512×512 pixels of 90×90 m) enabled the preliminary dissection of the landscape, without loss of spatial information, into several levels, each containing landforms within a similar scale domain in space-frequency. Our approach holds promise for analyzing diverse landforms, including composites of hills, valleys and plateau systems. This pioneering application of wavelets to geomorphology problems in Colombia demonstrates the potential of these novel methods for decompositions and recompositions under GRASS-R is demonstrated.

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