Stenseth, N.C. and Chan, K.S. and Framstad, E. and Tong, H.W. (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.
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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.
|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:||29 Jun 2009 10:21|
|Resource URI:||http://kar.kent.ac.uk/id/eprint/17174 (The current URI for this page, for reference purposes)|
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