Comparing morphologies of drainage basins on Mars and Earth using integral-geometry and neural maps

Details Comparing morphologies of drainage basins on Mars and Earth using integral-geometry and neural maps Comparing morphologies of drainage basins on Mars and Earth using integral-geometry and neural maps

Aug 2004

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2004georl..3115604s&link_type=abstract

Geophysical Research Letters, Volume 31, Issue 15, CiteID L15604

Statistics

Computation

4

Hydrology: Geomorphology (1625), Hydrology: Weathering (1625), Planetology: Solid Surface Planets: Erosion And Weathering, Planetology: Solar System Objects: Mars

Scientific paper

We compare morphologies of drainage basins on Mars and Earth in order to confine the formation process of Martian valley networks. Basins on both planets are computationally extracted from digital topography. Integral-geometry methods are used to represent each basin by a circularity function that encapsulates its internal structure. The shape of such a function is an indicator of the style of fluvial erosion. We use the self-organizing map technique to construct a similarity graph for all basins. The graph reveals systematic differences between morphologies of basins on the two planets. This dichotomy indicates that terrestrial and Martian surfaces were eroded differently. We argue that morphologies of Martian basins are incompatible with runoff from sustained, homogeneous rainfall. Fluvial environments compatible with observed morphologies are discussed. We also construct a similarity graph based on the comparison of basins' hypsometric curves to demonstrate that hypsometry is incapable of discriminating between terrestrial and Martian basins.

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