The multidimensional space of integral characteristics: Invariance of its structure to various biocenotic assemblages

Volvenko, Igor V.

doi:10.1134/s106307401207005x

Cited by 2 publications

(3 citation statements)

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“…There is also a second informal limitation here, which is denoted by the diag onal dashed line, and due to it the plane is one quarter filled with points rather than half filled and the maxi mum of S is reached at the average rather than at the 5 It should be noted that a negative correlation between J and S is expected at this arrangement of points. 6 Similar images can also be found in other publications [69,70]. The corresponding symmetric formal and informal borders are observed as well on the third plane, (Fig.…”

Section: Resultssupporting

confidence: 75%

“…1. A brief review, which was provided in the introduction to this paper, shows that the same is true for the remaining two integral characteristics that describe the abun 7 Similar images can be found in other publications as well [69,70].…”

Section: Discussionmentioning

confidence: 65%

“…The recent analysis of the relationships between the four main integral characteristics of biocoenotic assemblages [69,70], namely, (1) the number of spe cies included (species richness), (2) the total relative abundance of representatives of all the species (popu lation density), (3) the average size of an individual (individual body weight), and (4) the evenness of their distribution over species has shown that, irrespective of the object that is studied (the composition and rank of a biocoenotic assemblage), the site, and the time of sample collection, as well as the scale of the conducted works (sample size and size of the studied space), these relationships are described graphically with similar multi layered hill shaped figures, whose tops corre spond to the maximum values of species richness (Fig. 1).…”

Section: Introductionmentioning

confidence: 99%

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The multidimensional space of the integral characteristics of biocenotic assemblages: Invariance of its structure relative to various measures (and units) of these characteristics

Volvenko¹

2014

Russ J Mar Biol

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In a virtual multidimensional space with integral characteristics (such as abundance, the sizes of individuals, and components of species diversity) plotted along its axes, points of samples from various bio coenotic assemblages form similar multilayered hill shaped figures. A brief review of the literature and an original data analysis show that these structures, which are typical for stable states of biocoenotic systems, as well as the laws and processes that form them, do not depend on the observer, i.e., on measures and units of measurement that are used for describing the major integral characteristics of these systems. Fig. 1. Four three dimensional projections of the space logN-logW-S-J [1, 69-71], showing the relationships between the spe cies richness, S, the number of individuals, N, the average individual body weight, W, and the evenness of their distribution over species, measured by using the Pielou index, J. Linear schemes of interdependence of these integral characteristics are presented in the left column of the plots. In the bottom left plot, the additional axis of species richness (dotted line) is drawn to show vari ations in the length of the segment, describing the relationships between the variables in the space logN-J-logW, as S increases. Points that aggregate along these segments impart 3 D shapes to the figures in the second and third columns. The middle column of plots includes schematic depictions of 3 D figures, which reflect the joint domains of the three variables and their orthogonal projections onto the horizontal and vertical planes corresponding to paired relationships of integral characteristics. An example of the actual distribution of 19436 points for the pelagic macrofauna of the Northwestern Pacific in 1979-2005 is found in the right column of plots. RUSSIAN JOURNAL OF MARINE BIOLOGY Vol. 40 No. 7 2014 THE MULTIDIMENSIONAL SPACE OF THE INTEGRAL CHARACTERISTICS 549 S logN J S logN S logW J S logN J logW logN J S logW J S logN l o g W S logN J 70 -1 60

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Section: Resultssupporting

confidence: 75%