Fractal properties of isolines at varying altitude reveal different dominant geological processes on Earth

Details Fractal properties of isolines at varying altitude reveal different dominant geological processes on Earth Fractal properties of isolines at varying altitude reveal different dominant geological processes on Earth

2008-11-07

arxiv.org/abs/0811.1183v1

JOURNAL OF GEOPHYSICAL RESEARCH, VOL. 113, E09002, 2008

Physics

Geophysics

21 pages, 7 figures

Scientific paper

10.1029/2007JE003066

Geometrical properties of landscapes result from the geological processes that have acted through time. The quantitative analysis of natural relief represents an objective form of aiding in the visual interpretation of landscapes, as studies on coastlines, river networks, and global topography, have shown. Still, an open question is whether a clear relationship between the quantitative properties of landscapes and the dominant geomorphologic processes that originate them can be established. In this contribution, we show that the geometry of topographic isolines is an appropriate observable to help disentangle such a relationship. A fractal analysis of terrestrial isolines yields a clear identification of trenches and abyssal plains, differentiates oceanic ridges from continental slopes and platforms, localizes coastlines and river systems, and isolates areas at high elevation (or latitude) subjected to the erosive action of ice. The study of the geometrical properties of the lunar landscape supports the existence of a correspondence between principal geomorphic processes and landforms. Our analysis can be easily applied to other planetary bodies.

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