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Vergne & Souriau 1993
Vergne, M. and Souriau, M. (1993). Quantifying the transition between tectonic trend and meso-scale texture in topographic data. Geophysical Research Letters 20: doi: 10.1029/GL020i019p02139. issn: 0094-8276.

Topographic elevation is considered to be governed by a large-scale trend generated by tectonics and by a meso-scale texture described by fractal parameters. We investigate the scale threshold of this transition. A scalar parameter called vertical aspect ratio or mean slope r(d), where d is a horizontal distance, is shown to be sensitive to both components; r(d) is derived from the variograms. An application to selected windows in a Digital Elevation Model has detected a scale threshold called di1 such that one observes: (i) a strongly anisotropic trend for ddi1, (ii) for ddi1, a slight reversed anisotropic fractal signature or a complete isotropic signature when the mean topographic drift increases, (iii) a power law r(d)∝d-1 in the horizontal direction orthogonal to the trend, possibly related to a 1/k noise, k being wavenumber. The anisotropies detected reveal the relation of the vertical distribution of topography to the underlying drainage network. Depending on geographical location, we have observed 5 km ≤ di1 ≤ 25 km. ¿ American Geophysical Union 1993

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Geophysical Research Letters
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American Geophysical Union
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