Hydrologic fields like rainfall and river basin topography require the quantitative description of their spatial arrangements. These arrangements can be effectively characterized by the spatial structure of the 2-dimensional images obtained through the intersection with horizontal planes at different heights. We show that configurational entropy clearly displays fundamental aspects of the responsible dynamics. Topography and rainfall depth over a region are found to lack any characteristic length not only in the size of their features but also in their positional arrangements. The spatial arrangement of two-dimensional images is found to be an effective way to characterize fractal landscapes and the configurational entropy of these arrangements imposes demanding conditions for models attempting to represent these fields.
%0 Journal Article
%1 rodrgueziturbe1998configuration
%A Rodríguez-Iturbe, Ignacio
%A D'Odorico, Paolo
%A Rinaldo, Andrea
%D 1998
%J Geophysical Research Letters
%K fractal_landscape habitat_shape patchy_landscapes rainfall
%N 7
%P 1015--1018
%R 10.1029/98GL00654
%T Configuration entropy of fractal landscapes
%U http://dx.doi.org/10.1029/98GL00654
%V 25
%X Hydrologic fields like rainfall and river basin topography require the quantitative description of their spatial arrangements. These arrangements can be effectively characterized by the spatial structure of the 2-dimensional images obtained through the intersection with horizontal planes at different heights. We show that configurational entropy clearly displays fundamental aspects of the responsible dynamics. Topography and rainfall depth over a region are found to lack any characteristic length not only in the size of their features but also in their positional arrangements. The spatial arrangement of two-dimensional images is found to be an effective way to characterize fractal landscapes and the configurational entropy of these arrangements imposes demanding conditions for models attempting to represent these fields.
@article{rodrgueziturbe1998configuration,
abstract = {Hydrologic fields like rainfall and river basin topography require the quantitative description of their spatial arrangements. These arrangements can be effectively characterized by the spatial structure of the 2-dimensional images obtained through the intersection with horizontal planes at different heights. We show that configurational entropy clearly displays fundamental aspects of the responsible dynamics. Topography and rainfall depth over a region are found to lack any characteristic length not only in the size of their features but also in their positional arrangements. The spatial arrangement of two-dimensional images is found to be an effective way to characterize fractal landscapes and the configurational entropy of these arrangements imposes demanding conditions for models attempting to represent these fields.},
added-at = {2013-11-05T00:21:29.000+0100},
author = {Rodr\'iguez-Iturbe, Ignacio and D'Odorico, Paolo and Rinaldo, Andrea},
biburl = {https://www.bibsonomy.org/bibtex/207a1d336f6b4f25f2841b33c383ffb72/peter.ralph},
doi = {10.1029/98GL00654},
interhash = {130890bfb8030bc08e4dbbbb0e1456b7},
intrahash = {07a1d336f6b4f25f2841b33c383ffb72},
issn = {1944-8007},
journal = {Geophysical Research Letters},
keywords = {fractal_landscape habitat_shape patchy_landscapes rainfall},
number = 7,
pages = {1015--1018},
timestamp = {2013-11-05T00:21:29.000+0100},
title = {Configuration entropy of fractal landscapes},
url = {http://dx.doi.org/10.1029/98GL00654},
volume = 25,
year = 1998
}