alexa Fractal characterization of inhomogeneous geophysical measuring networks
Geology & Earth Science

Geology & Earth Science

Journal of Geography & Natural Disasters

Author(s): S LOVEJOY, D SCHERTZER, P LADOY

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The measuring stations of most in situ geophysical networks are spatially distributed in a highly inhomogeneous manner, being mainly concentrated on continents and population centres. When inhomogeneity occurs over a wide range of scales in a space of dimension E, it can be characterized by a fractal dimension D m. For measuring networks, there is no reason to assume a priori that D m equals E; it will usually be less than E. The world meteorological network studied here is an example on a surface for which E = 2 (the surface of the Earth) whereas, the network has an empirical dimension D m ≈ 1.75. Whenever D m < E, any sufficiently sparsely distributed phenomena (with dimension D p

This article was published in Nature and referenced in Journal of Geography & Natural Disasters

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