Conference devoted to the 90th anniversary of Alexei A. Lyapunov

Akademgorodok, Novosibirsk, Russia, October 8-11, 2001,
(state registration number 0320300064)

Abstracts

Mathematical modelling

Model view of population dynamics in the nature: thermodynamical approach

Evstafyev V.

Limnological Institute of Siberian Branch of Russian Academy of Sciences (Irkutsk)

The report discusses obstacles which appear since making attempts to formalise vital processes in the nature i.e. population dynamics. Historical analogy with the approaches to the gas description in volume is given. The thermodynamics way is concluded to be preferable to describe the population dynamics at the equilibrial state. On the first step consideration, the biosphere is assumed as quasi-equilibrial. Population, regarded as homogeneous multitude consisting of self-reproductive biological individuals, form principal structural constructions known as food chains. Interaction between them creates the secondary structure that is the food web. Through this food web, travelling waves of population abundance change, generated by primary photosynthetic links, run. These auto oscillations excited along food chains are able to undergo outer periodical influences such as the Earth's revolution on its axis and round the Sun, solar activity and to resonate with them. In dynamics of resonated population, it results in frequencies divisible by 24 hours, one year and the 22-year reverse of the Sun magnetic poles. Resonance caused by solar activity has been considered on a sample of the long-term dynamics of the lake Baikal phytoplankton. Some speculations on why not all ecosystems are influenced solar activity but only several ones under favourable conditions have been done.

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©2001, Siberian Branch of Russian Academy of Science, Novosibirsk
©2001, United Institute of Computer Science SB RAS, Novosibirsk
©2001, Institute of Computational Techologies SB RAS, Novosibirsk
©2001, A.P. Ershov Institute of Informatics Systems SB RAS, Novosibirsk
©2001, Institute of Mathematics SB RAS, Novosibirsk
©2001, Institute of Cytology and Genetics SB RAS, Novosibirsk
©2001, Institute of Computational Mathematics and Mathematical Geophysics SB RAS, Novosibirsk
©2001, Novosibirsk State University
Last modified 06-Jul-2012 (11:45:21)