Bootstrap estimated uncertainty of the dominant Lyapunov exponent for Holarctic microtine rodents

W. Falck, Ottar N. Bjornstad, N. C. Stenseth

Research output: Contribution to journalArticle

21 Scopus citations

Abstract

The dominant Lyapunov exponent, as estimated from time series using the Jacobian-based method, is often used for indicating whether the underlying dynamic system is chaotic or not. The Jacobian-based method together with Response Surface Methodology has been suggested as a method for detecting chaotic dynamics in ecological time series. Besides pointing out that this may not be an appropriate method, we report on estimates of the uncertainty in the estimates of the dominant Lyapunov exponent. For this purpose, we have used time series data on Holarctic microtines. On the basis of our analyses, we are unable to find general evidence for chaotic dynamics in northern microtine populations (north of 60°N) as recently suggested in the ecological literature. It seems, however, that the dynamic properties of the northern and southern populations are different. These patterns are supported by testing for nonlinearity.

Original languageEnglish (US)
Pages (from-to)159-165
Number of pages7
JournalProceedings of the Royal Society B: Biological Sciences
Volume261
Issue number1361
DOIs
StatePublished - Jan 1 1995

All Science Journal Classification (ASJC) codes

  • Biochemistry, Genetics and Molecular Biology(all)
  • Immunology and Microbiology(all)
  • Environmental Science(all)
  • Agricultural and Biological Sciences(all)

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