Phase- and density-dependent population dynamics in Norwegian lemmings: interaction between deterministic and stochastic processes

Stenseth, Nils C., Chan, Kung-Sik, Framstad, E., Tong, Howell (1998) Phase- and density-dependent population dynamics in Norwegian lemmings: interaction between deterministic and stochastic processes. Proceedings of the Royal Society Series B Biological Sciences, 265 (1409). pp. 1957-1968. ISSN 0962-8452. (doi:10.1098/rspb.1998.0526) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:17174)

The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided.
Official URL: http://dx.doi.org/10.1098/rspb.1998.0526

Abstract

We analysed two 26-year long (1970-1995) time-series on annual population growth rates of Norwegian lemmings (Lemmus lemmus) from Finse, south Norway, using a threshold autoregressive (TAR) approach. We demonstrate that the population dynamics is both phase- and density-dependent. The phase-dependence accounts for the observed nonlinearity. We used the deduced stochastic model structure as a basis for evaluating the dynamic properties of this system. The dynamics is characterized either by limit cycles or chaos (the latter with a strong semi-periodic component). Stochasticity is seen to play an important role in the determination of the periodicity. The ecological implications of these statistical and mathematical results are discussed.

Item Type:	Article
DOI/Identification number:	10.1098/rspb.1998.0526
Additional information:	Review Article
Uncontrolled keywords:	microtine population cycles; deterministic processes; stochastic processes; nonlinear dynamics; dynamic stability analysis; continuous TAR models
Subjects:	Q Science > QL Zoology Q Science > QA Mathematics (inc Computing science) Q Science > QH Natural history > QH301 Biology
Divisions:	Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
Depositing User:	Tara Puri
Date Deposited:	29 Jun 2009 10:21 UTC
Last Modified:	05 Nov 2024 09:52 UTC
Resource URI:	https://kar.kent.ac.uk/id/eprint/17174 (The current URI for this page, for reference purposes)

University of Kent Author Information

Tong, Howell.

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