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Reading the geometry of landscapes: Global topography reveals the action of geological processes on Earth

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Abstract Book of the XXIII IUPAP International Conference on Statistical Physics, Genova, Italy, (9-13 July 2007)

Abstract

The analysis of the geometry of natural relief aids in the qualitative interpretation of the geological processes that have acted through time. However, an underlying, recurrent and still open question is whether there is a one-to-one relationship between the quantitative properties of landscapes and the dominant geomorphological processes that originate them. We show that the geometry of isolines (curves at fixed elevation) is an appropriate observable to disantagle such a relationship. A global 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. Further comparison with geometrical properties of the lunar landscape supports the existence of a one-to-one correspondence between principal geomorphic processes and landforms.

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