Subtitle:

Models of cycling populations

Contributor:

Polska Akademia Nauk. Komitet Ekologii

Publisher:

Państwowe Wydawnictwo Naukowe

Place of publishing:

Warszawa

Description:

Pages 215-240 ; 24 cm ; Bibliographical references (pages 238-239) ; Abstract in English

Type of object:

Journal/Article

Abstract:

The rightness of a mathematical model can be verified by estimating its assumptions or by looking how it depicts the reality. It is tempting to try, according to the second way of checking, and see whether classic models of mathematical ecology can imitate the cyclic changes of population numbers — a phenomenon well documented by spectral and autocorrelatiye analyses. It turned out that these models are helpless at the whole complex of problems connected with population cycles. This refers to models of single population with time lag as well as to models with two-species situations, the prey-predator system included. The Chitty’s hypothesis, when translated to the mathematical model language, does not lead to density oscillations. In models with many eąuilibrium points the density oscillations can appear, but the typical, i.e. observed in nature period of these oscillations remains unexplained and the same holds to other phenomena connected with the population cycles. The situation does not change even if we introduce both space and dispersion of individuals to the model. Only in the case of Charnov-Finerty’s hypothesis at certain special conditions it is possible to evoke oscillations of density, but this model, too, similarly as all previous ones, does not explain the remaining phenomena connected with the population cycles.

Relation:

Wiadomości Ekologiczne

Volume:

32

Issue:

3

Start page:

215

End page:

240

Detailed Resource Type:

Article

Resource Identifier:

oai:rcin.org.pl:206972 ; 0013-2969

Source:

MiIZ PAN, call no. P.3259 ; click here to follow the link

Language:

pol

Language of abstract:

eng

Rights:

Creative Commons Attribution BY 3.0 PL license

Terms of use:

Copyright-protected material. [CC BY 3.0 PL] May be used within the scope specified in Creative Commons Attribution BY 3.0 PL license, full text available at: ; -

Digitizing institution:

Museum and Institute of Zoology of the Polish Academy of Sciences

Original in:

Library of the Museum and Institute of Zoology of the Polish Academy of Sciences

Projects co-financed by:

Operational Program Digital Poland, 2014-2020, Measure 2.3: Digital accessibility and usefulness of public sector information; funds from the European Regional Development Fund and national co-financing from the state budget.

Access:

Open