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Fractals, lattice models, and environmental systems
Abstract Lattice models, as used in statistical physics, exhibit self-similarity. They are related to fractals which also exhibit self-similarity. Percolation models are the most relevant of these lattice models to environmental systems. Some applications in resource ecology, fire spread, groundwater intrusion, and rainfall are reviewed. Despite the qualitative appeal of the percolation theory and the ability of certain laboratory experiments to reproduce its results, quantitative attempts to apply it to real environmental systems have not yet been successful. The reason for this seems to be that only the simplest interaction rules have been used because the correct solutions for these are known. Realistic use, in environmental science, of models from statistical physics will require more detailed knowledge of the fundamental processes involved in the phenomenon of interest, coupled with greater computer power.
Fractals, lattice models, and environmental systems
Abstract Lattice models, as used in statistical physics, exhibit self-similarity. They are related to fractals which also exhibit self-similarity. Percolation models are the most relevant of these lattice models to environmental systems. Some applications in resource ecology, fire spread, groundwater intrusion, and rainfall are reviewed. Despite the qualitative appeal of the percolation theory and the ability of certain laboratory experiments to reproduce its results, quantitative attempts to apply it to real environmental systems have not yet been successful. The reason for this seems to be that only the simplest interaction rules have been used because the correct solutions for these are known. Realistic use, in environmental science, of models from statistical physics will require more detailed knowledge of the fundamental processes involved in the phenomenon of interest, coupled with greater computer power.
Fractals, lattice models, and environmental systems
Beer, Tom (author) / Enting, Ian G. (author)
Environmental International ; 17 ; 519-533
1990-12-18
15 pages
Article (Journal)
Electronic Resource
English
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