The multidimensional space of the integral characteristics of biocenotic assemblages: The self-similarity or scale invariance of its structure

The multidimensional space of the integral characteristics of biocenotic assemblages: The... In a virtual multidimensional space whose coordinate axes are integral characteristics, such as logarithms of the abundance and size of individuals, as well as the components of species diversity, the points that correspond to samples from various biocenotic assemblages form multilayered geometric figures of a similar shape. As was shown based on examples of pelagic macrofauna in the Bering Sea, Sea of Okhotsk, Sea of Japan, and adjacent waters of the Pacific Ocean, as well as phytoplankton, zooplankton, and zoobenthos in Lake Ladoga, Neva Bay, and the Gulf of Finland in the Baltic Sea, these figures possess some properties of fractals. This phenomenon results from the multidimensional domain of the integral characteristics, in which a multitude of points is aggregated along a segment, whose length and orientation relative to the coordinate axes reflects universal power laws at the biocenotic level of the organization of matter; power laws, such as y = a · x b , are known to be an unlimited source of self-similarity and scale invariance. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Russian Journal of Marine Biology Springer Journals

The multidimensional space of the integral characteristics of biocenotic assemblages: The self-similarity or scale invariance of its structure

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Publisher
SP MAIK Nauka/Interperiodica
Copyright
Copyright © 2012 by Pleiades Publishing, Ltd.
Subject
Life Sciences; Freshwater & Marine Ecology
ISSN
1063-0740
eISSN
1608-3377
D.O.I.
10.1134/S1063074012070061
Publisher site
See Article on Publisher Site

Abstract

In a virtual multidimensional space whose coordinate axes are integral characteristics, such as logarithms of the abundance and size of individuals, as well as the components of species diversity, the points that correspond to samples from various biocenotic assemblages form multilayered geometric figures of a similar shape. As was shown based on examples of pelagic macrofauna in the Bering Sea, Sea of Okhotsk, Sea of Japan, and adjacent waters of the Pacific Ocean, as well as phytoplankton, zooplankton, and zoobenthos in Lake Ladoga, Neva Bay, and the Gulf of Finland in the Baltic Sea, these figures possess some properties of fractals. This phenomenon results from the multidimensional domain of the integral characteristics, in which a multitude of points is aggregated along a segment, whose length and orientation relative to the coordinate axes reflects universal power laws at the biocenotic level of the organization of matter; power laws, such as y = a · x b , are known to be an unlimited source of self-similarity and scale invariance.

Journal

Russian Journal of Marine BiologySpringer Journals

Published: Jan 4, 2013

References

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