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Updated: Aug 4, 2026

Modeling the Size Spectrum for Macroinvertebrates and Fishes in Stream Ecosystems
Published on: July 30, 2019
[Correlation of space-time ranges in ecological hierarchies of various nature]
1Department of Hydrobiology, Biological Faculty, M.V. Lomonosov Moscow University, Vorob'evy Gory, Moscow 119899, Russia. azovsky@1.hydro.bio.msu.ru
Abstract:
Relations between characteristic scales of time and space are analyzed for the hierarchical systems of a various nature. The available data fit well to the power relation: [T] = a[L]b, where [T] and [L] are characteristic ranges of time and space, b--scaling exponent, a--conversion coefficient. The spatio-temporal scales of ocean physical and biological (pelagic) processes are closely overlapped. Contrastingly, the scale for terrestrial and benthic ecosystems and their environments differ noticeably. For terrestrial and benthic ecological systems, and also for atmospheric phenomena, the b values significantly less than 1, that indicates a significant coherence of structure-generating processes integrating lower-level hierarchical units to a higher-level entity. For geomorphological structures, both terrestrial and oceanic, the scaling parameters has appeared close to 1 (a "direct transfer" type of generating processes). For plankton systems, which are related with water masses, the b values vary from 1 (processes of direct transfer) up to 2 (random dispersal or diffusion processes). The author attributes this difference to the principle distinctions in dynamic properties of the physical environments for terrestrial (and probably, benthic) and plankton organisms. Finally, for the units (structures or processes) of one and the same organization level, scaling exponents are significantly higher and close to 2 (diffusive dynamics) or more (rigid spatial limitation). Thus, the development of many ecological structures looks dynamically like diffusion or gradual growth, but their putting in the higher-level order (integrity) is a qualitative leap forward and demands appropriate cooperative organizational processes.
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