Volume 62, Number 6, June 2003
|Page(s)||801 - 807|
|Published online||01 June 2003|
Multifractal surfaces and terrestrial topography
Physics Department, McGill University 3600 rue University, Montréal, Canada, H3A 2T8
2 L.M.M., Université Pierre et Marie Curie, BP 162 4 Place Jussieu, 75252 Paris Cedex 05, France
Accepted: 22 April 2003
We analyze terrestrial topographic data from four Digital Elevation Models which collectively span the range 20000 to 50. We use power spectra and trace moment analysis techniques to show that topography is multifractal from planetary scales down to around 40, where the multiscaling is broken by trees. We show that over this range the topography is reasonably described by a global nonlinear moment scaling function, itself determined by three parameters. We argue that these isotropic analyses are insensitive to the anisotropies and are hence compatible with different geomorphologies.
PACS: 05.45.Df – Fractals / 61.43.Hv – Fractals; macroscopic aggregates (including diffusion-limited aggregates) / 91.10.Jf – Topography; geometric observations
© EDP Sciences, 2003
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