Laboratories-chairs
Copyright 2001
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Information about the Chief of the laboratory-chair

A.P.Levich
Education, affiliation
Areas of scientific interests
Scientific results obtained
Systems theory
Ecology of communities
Diagnostics and normalization in ecology
Time studies
List of scientific publications
Time studies
Category and functor system modelling
Variational modelling
Simulation modelling
Theoretical biology
Rank distributions
Coenoses
Determination analysis
Diagnostics and normalization in ecology
List of lecture courses
Systems theory
Ecology of communities
Diagnostics and normalization in ecology
Time studies
Philosophy and methodology of science
Contact coordinates

Education, affiliation

Alexander Petrovich Levich graduated from Moscow Engineering Physical Institute with the speciality "Theoretical and mathematical physics".

After graduation he works at the Biological Faculty of the M.V. Lomonosov Moscow State University.

Doctor of Science (biology). Leading researcher of the Chair of General Ecology.

In 1974-84 he organized and headed the Moscow Working Group for Constructive Developments in Theoretical Biology. Since 1984 and up to now he is the manager and head of the Russian Interdisciplinary Seminar on Temporology.

Head of the laboratory-chair "Modelling of the natural references of time" of the Institute of Time Nature Explorations.

Areas of scientific interests

  • Theoretical natural science
  • General systems theory
  • Ecosystem control
  • Diagnostics and normalization in ecology
  • Modelling of natural systems
  • Studies of the time phenomenon (temporology)
  • Philosophy and methodology of science

Scientific results obtained

Systems theory

The functor method for comparison of mathematical structures has been suggested. The method generalizes the notion of the number of elements to sets possessing structure. The method makes it possible to introduce a quantitative characteristic of structured sets which generalizes the notion of system entropy.

An extremal principle has been proposed for selection of real states among all possible states of a system: within the resources available, the system realizes a state having an extremal structure, or, according to the functor method of structure comparison, realized is the state with an extremal number of transformations admitted by the structure, or - a state with an extremal value of generalized entropy.

A method has been suggested for calculating functionals which are suitable, in the framework of the above extremal principle, for using in the variational methods of system modelling.

A method has been suggested for calculating the domains (in the space of resources consumed by the system) in which the system development is restricted by a given resource subset.

Ecology of communities

A formula of species structure in ecological communities has been derived; it gives one an opportunity to calculate the abundances of groups of individuals that form the community for known amounts of the consumed environmental resources and given demands of organisms for these resources.

A method has been suggested for relative abundance control of system components with the aid of ratios of the resources that restrict the system development.

Diagnostics and normalization in ecology

Methods of search for, ranging and normalization of natural factors violating the ecological wealth from mass ecological observation data has been suggested.

A method has been suggested for the analysis of rank distributions of organismic group abundances in ecological communities. The method enables one to indicate the community condition on the "norm-pathology" scale.

Time studies

The hypothesis on the existence of generating substantial flows, in whose respect our Universe is open, has been developed. The generating flows are natural references of the course of time in the Universe and a source of its formation.

The model of substitutional motion of natural systems has been introduced. This motion consists in generating flow element replacement on different levels of the system hierarchic structure. It has been proposed to describe any variability of systems (generalized motion, growth, development, etc.) in terms of their substitutional motion.

For the substantial time of the generating flows, a construction of substitutional (substitution is element replacement), or metabolic clocks has been proposed. The model makes it possible to describe the time course non-uniformity, its discreteness, system-specific and multicomponent nature and additivity and, in addition, to derive the equations of substitutional motion of systems.

List of scientific publications

Time studies

in English:
in Russian:

Category and functor system modelling

in English:
in Russian:
  • Levich A.P. Information as system structure. // Semiotika i Informatika, 1978, No. 10, pp. 116-132.
  • Levich A.P. Sets Theory, the Language of Category Theory and their Application in Theoretical Biology. Textbook. Moscow: Moscow University Press, 1982, 190 pp..
  • Levich A.P. Entropy as a generalization of the number of elements concept for finite sets. // Filosofskie Issledovaniya, 2001, No. 1, pp. 59-72. Proceedings of seminar " Time, chaos and mathematical problems ". V. 2. 2000. M.: Institute of mathematical researches of complex systems. Pp. 163-176.
  • Levich A.P. Entropy as a measure of structuredness of complex systems. // Proceedings of seminar " Time, chaos and mathematical problems ". V. 2. 2000. M.: Institute of mathematical researches of complex systems. Pp. 163-176.

Variational modelling

in English:
in Russian:
  • Levich A.P. Extremal principle in systems theory and the species structure of communities. // In: Problems of Ecological Monitoring and Modelling in Ecology. IPG Proceedings, Leningrad, Gidrometeoizdat, 1978, v. 1, pp. 164-183.
  • Levich A.P. Structure of Ecological Communities, Moscow: Moscow University Press, 1982, 181 pp..
  • Levich A.P. Sets Theory, the Language of Category Theory and their Application in Theoretical Biology. Textbook. Moscow: Moscow University Press, 1982, 190 pp..
  • Levich A.P., Nosov V.N., Smirnov N.A. Category-theoretical model of the ecological community structure taking into account external factors. // In: Man and Biosphere, Moscow: Moscow University Press, 1983, 8th issue, pp. 134-139.
  • Levich A.P., A search for dynamic equations and systems' proper time. // Mathematical Modelling in Rational Nature Management Problems, Abstracts of the 10th School-Seminar, Rostov-on-Don. 1986, pp. 109-110.
  • Levich A.P., Lebed' A.B., Demands of biological species for nutrition components and environmental factors consumption by an ecological community. // Problems of Ecological Monitoring and Ecosystem Modelling, 1987, v. 10, pp. 268-283.
  • Levich A.P. Possible ways of finding dynamic equations in communities ecology. // Zhurnal Obshchey Biologii, 1988, v.49, No.2., pp. 245-254
  • Zamolodchikov D.G. Levich A.P. Rybakova S.Yu. A study of the adequacy of the category-theoretical model of phytoplankton communities. // Problems of Ecological Monitoring and Ecosystem Modelling, 1993, v. 15, pp. 234-246.
  • Levich A.P. Zamolodchikov D.G. Alexeyev V.L. The limiting link rule for multispecies ecological communities. Zhurnal Obshchey Biologii, 1993, v.54, No.3, pp. 282-297.
  • Levich A.P. Alexeyev V.L. Rybakova S.Yu. Ecological community structure optimization: model analysis. // Biofizika, 1993, v. 38, 5th issue, pp. 877-885.
  • Levich A.P. Alexeyev V.L. Nikulin V.A., Mathematical aspects of variational modelling in communities ecology. // Matematicheskoe Modelirovanie, 1994, v. 6, No. 5, pp. 55-71.
  • Levich A.P. Self-organization criteria and control parameters in communities ecology. // In: Proceedings of the International Conference "Self-Organization Criteria in Physical, Chemical and ecological Systems''. Suzdal', 1995, pp. 108-113.
  • Levich A.P., Alexeyev V.L. Entropy extremal principle in communities ecology: results and discussion. // Biofizika, 1997, v.42, 2nd issue, pp. 534-541.
  • Levich A.P., Maximov V.N., Bulgakov N.G. Theoretical and experimental ecology of phytoplankton: community structure and function control. Moscow: NIL Publishers, 1997, 192 pp..
  • Levich A.P. Optimization modelling of multicomponent open systems under competition for multiple resources. // Abstracts of the 5th International Conference "Mathematics, Computer, Education". Moscow, 1998, pp. 118.

Simulation modelling

in Russian:
  • Fedorov V.D., Brodshy L.I., Golikova T.I., Levich A.P. Miatlev V.D., Nosov V.N., Terekhin A.T. Ecological-mathematical modelling of the biological productivity of the USSR inner seas. // Biology of Moscow University - to fish economy. Moscow: Moscow University Press, 1984, pp. 106-111.
  • Levich A.P. Ecological-mathematical modelling of the biological productivity of the Caspian sea. // Teoreticheskaya Ekologiya, Moscow: Moscow University Press, 1984,. pp. 5-16.
  • Levich A.P., Titova E.A, Lichman E.G., Vasin A.A. Model analysis of algocoenoses structure control. // In: Mathematical Modelling. // Mathematical Modelling in Rational Nature Management Rostov-on-Don, 1989, pp. 5-15.
  • Levich A.P., Lichman E.G. Model studies of possible intended changes in the structure of a phytoplankton community. // Zhurnal Obshchey Biologii, 1992, v. 53, No.5, pp. 689-703.

Theoretical biology

in English:
in Russian:

Rank distributions

in Russian:
  • Levich A.P. The structure of ecological communities. // Biologicheskie Nauki, 1977, No. 10, pp. 63-74.
  • Fedorov V.D., Kondrik E.K., Levich A.P. Rank distribution of the White sea phytoplankton abundance. // Doklady AN SSSR, 1977, v. 236, No. 1, pp. 264-267.
  • Levich A.P. Rank distributions of the White sea phytoplankton abundance. // Biologicheskie Nauki, 1979, No.4, pp. 14-26
  • Levich A.P., Kol'tsova T.I., Likhachyova N.E. Rank distributions of the phytoplankton abundance in Vilkitsky Strait. // Biologicheskie Nauki, 1979, No. 9, pp. 102-106.
  • Levich A.P., Fursov V.V., Manakova N.K. Rank distributions of the genetic language. // Genetic and Selection Studies in Turkmenistan, Ashkhabad, 1979, pp. 120-133.
  • Levich A.P. Structure of Ecological Communities. Moscow: Moscow University Press, 1980, 181 p.
  • Fedorov V.D., Koroleva A,K., Levich A.P. Rank distributions of the White sea animal plankton abundance. // Biologicheskie Nauki, 1990, No.5, pp. 101-106.
  • Fedorov V.D., Levich A.P. Where one takes the diversity indices? // Man and Biosphere, Moscow: Moscow University Press, 1980. 4th issue, pp. 164-184.
  • Levich A.P., Kartashova N.V. The influence of metal contaminations on the uniformity of the abundance distributions of animal plankton species. // Man and Biosphere, Moscow: Moscow University Press, 1981, 6th issue, pp. 151-155.
  • Levich A.P., Sirotkina N.V. The influence of heavy metals on the species and over-species structure of a phytoplankton community. // Man and Biosphere, Moscow: Moscow University Press, 1981, 6th issue, pp. 142-150.
  • Levich A.P. Phenomenology, application and origin of rank distributions in biocoenoses and ecology as a source of ideas for technocoenoses and economy. // In: Mathematical Description of Coenoses and the Laws of Technetics. Abakanm Centre for System Studies, 1996, pp. 93-105.

Coenoses

in English:
in Russian:

Determination analysis

in English:
in Russian:

Diagnostics and normalization in ecology

in English:
in Russian:

List of lecture courses

Systems theory

  1. Sets theory, the language of category theory and their application in theoretical natural science.
  2. Category and functor methods in general systems theory.
  3. Functor comparison of mathematical structures.
  4. What is "quantity"?

Ecology of communities

  1. Diversity measurement in communities ecology.
  2. Ecological community structure and functions control.
  3. Variational modelling in communities ecology.

Diagnostics and normalization in ecology

  1. Rank distributions of the abundance as an indicator of influences violating the normal functioning of ecological communities.
  2. Quantitative methods of ecological environmental control by mass monitoring data (condition indication, causes of trouble diagnostics, normalization, forecast, quality control).

Time studies

  1. On the way to understanding the time phenomenon
  2. Constructions of time in natural science
  3. Time: substance or relation?
  4. Generating flows of substantial time.
  5. Substitutional time of natural systems.
  6. The entropy parametrization of time.
  7. Birth of the paradigm of an open, "time"-generated World.

Philosophy and methodology of science

  1. Art and method in constructing the "World picture".

Contact coordinates

Office phone: 7 (095) 9395560

    Chair of General Ecology
    Biological Faculty
    M.V. Lomonosov Moscow State University
    119992, Moscow, Russia