Noise, cycles, and noisy cycles in finite populations
Correspondence: (Login to view email address)
- Center for Animal Disease Modeling and Surveillance (CADMS), University of California, Davis
- Document Type:
- Presentation
- Date:
- Received 13 June 2007 13:45 UTC; Posted 14 June 2007
- Subjects:
- Ecology
- Abstract:
Periodic predator-prey dynamics in constant environments are usually taken as indicative of deterministic limit cycles. It is known, however, that demographic stochasticity in finite populations can also give rise to regular population cycles, even when the corresponding deterministic models predict a stable equilibrium. The existence of quasi-cycles substantially expands the scope for natural patterns of periodic population oscillations caused by ecological interactions, thereby complicating the conclusive interpretation of such patterns. It is, however, feasible and straightforward to accurately distinguish between the two types of cycle through the combined analysis of autocorrelations and marginal distributions of population sizes. By confronting these results with real ecological time series even short and imperfect time series allow quasi-cycles and limit cycles to be distinguished reliably.
This work has been published in:
Pineda-Krch M, Blok HJ, Dieckmann U, Doebeli M. 2007. A tale of two cycles – Distinguishing between true limit cycles and quasi-cycles in finite predator-prey populations. Oikos 116: 53-64.- Presented at:
- Department seminar at the Centre for Animal Disease Modeling and Surveillance, University of California, Davis, 15 May 2006
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- License:
- This document is licensed to the public under the Creative Commons Attribution 2.5 License
- How to cite this document:
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Pineda-Krch, Mario. Noise, cycles, and noisy cycles in finite populations . Available from Nature Precedings <http://dx.doi.org/10.1038/npre.2007.48.1> (2007)
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