Are topographic data sets fractal? View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

1989-03

AUTHORS

Lewis E. Gilbert

ABSTRACT

The scale invariant properties of fractal sets make them attractive models for topographic profiles because those profiles are the end product of a complex system of physical processes operating over many spatial scales. If topographic data sets are fractal, their power spectra will be well represented by lines in log-log space with slopess such that −3≤s<−1. The power spectra from a Digital Elevation Model (30 meter sample spacing) of the Sierra Nevada Batholith and from Seabeam center beam depths (425 meter sample spacing) along a flowline in the South Atlantic are curved. Straight sections in the spectra can be identified but the slopes of those sections are strongly dependent upon the particulars of the data analysis. Fractal geometry must be used with caution in the discussion of topographic data sets. More... »

PAGES

241-254

References to SciGraph publications

Journal

TITLE

Pure and Applied Geophysics

ISSUE

1-2

VOLUME

131

Author Affiliations

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/bf00874489

DOI

http://dx.doi.org/10.1007/bf00874489

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1007226663


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