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

Stenseth, Nils C. and Chan, Kung-Sik and Framstad, E. and Tong, Howell (1998) Phase- and density-dependent population dynamics in Norwegian lemmings: interaction between deterministic and stochastic processes. Proceedings of the Royal Society of London Series B-Biological Sciences, 265 (1409). pp. 1957-1968. ISSN 0962-8452. (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)

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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
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: Faculties > Science Technology and Medical Studies > School of Mathematics Statistics and Actuarial Science
Depositing User: Tara Puri
Date Deposited: 29 Jun 2009 10:21
Last Modified: 25 Jun 2014 09:33
Resource URI: https://kar.kent.ac.uk/id/eprint/17174 (The current URI for this page, for reference purposes)
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