Title:

Klasyczne modele pojedynczych populacji

Subtitle:

Classic models of single populations

Creator:

Uchmański, Janusz

Contributor:

Polska Akademia Nauk. Komitet Ekologii

Publisher:

Państwowe Wydawnictwo Naukowe

Place of publishing:

Warszawa

Date issued/created:

1986

Description:

Pages 3-45 ; 24 cm ; Bibligraphical references (pages 44-45) ; Abstract in English

Type of object:

Journal/Article

Subject and Keywords:

mathematical models ; population biology ; populations

Abstract:

The construction of single population models is justified when one wants to examine the inner mechanism responsible for density dynamics or population numbers. For one hundred years the logistic eąuation has been considered as the basie single population model. In the form used most freąuently in theoretical ecology it is restricted by some assumptions. Putting aside some of these assumptions allows to obtain models having various properties. The changing with time model parameters allow to examine the influence of variable environment on population dynamics. The introduction of time delay to model eąuations results in persistent oscillations of population density. The matrix model with a discret time step or a model with continuous time using particular difterential eąuations allow to describe a population, in which survival and offspring production depend on the age of individuals. One may reflect then on the constancy of population age structure. When looking carefully at population models with non-overlapping generations, which from the mathematical point of view are difference eąuations, one may observe that among Solutions of these eąuations there are oscillations with very long periods or infinite ones, i.e. total chaos. Finally, the ' stochastic models of single populations allow to ąuestion the probability of population extinction. The great possibilities of classic models of single populations may be breathtaking, but it has to be remembered that nonę of the assumptions within these models is true. Thus the methods through which these models found their place in the history of theoretical ecology may be even morę interesting.

Relation:

Wiadomości Ekologiczne

Volume:

32

Issue:

1

Start page:

3

End page:

45

Resource type:

Text

Detailed Resource Type:

Article

Resource Identifier:

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