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  • Modeling geophysical complexity: a case for geometric determinism

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    Author(s)
    Puente, C.
    Bellie, Sivakumar
    Griffith University Author(s)
    Bellie, Sivakumar
    Year published
    2007
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    Abstract
    It has been customary in the last few decades to employ stochastic models to represent complex data sets encountered in geophysics, particularly in hydrology. This article reviews a deterministic geometric procedure to data modeling, one that represents whole data sets as derived distributions of simple multifractal measures via fractal functions. It is shown how such a procedure may lead to faithful holistic representations of existing geophysical data sets that, while complementing existing representations via stochastic methods, may also provide a compact language for geophysical complexity. The implications of these ...
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    It has been customary in the last few decades to employ stochastic models to represent complex data sets encountered in geophysics, particularly in hydrology. This article reviews a deterministic geometric procedure to data modeling, one that represents whole data sets as derived distributions of simple multifractal measures via fractal functions. It is shown how such a procedure may lead to faithful holistic representations of existing geophysical data sets that, while complementing existing representations via stochastic methods, may also provide a compact language for geophysical complexity. The implications of these ideas, both scientific and philosophical, are stressed.
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    Journal Title
    Hydrology and Earth System Sciences
    Volume
    11
    DOI
    https://doi.org/10.5194/hess-11-721-2007
    Copyright Statement
    © The Author(s) 2007. This is an Open Access article distributed under the terms of the Creative Commons Attribution 3.0 Unported (CC BY 3.0) License (http://creativecommons.org/licenses/by/3.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
    Subject
    Physical Geography and Environmental Geoscience
    Civil Engineering
    Environmental Engineering
    Publication URI
    http://hdl.handle.net/10072/19016
    Collection
    • Journal articles

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