Phase switching in population cycles
TLDR
In this paper, phase shifts correspond to stochastic jumps between basins of attraction in an appropriate phase space which associates the different phases of a periodic cycle with distinct attractors, which accounts for two-cycle phase shifts and the occurrence of asynchronous replicates in experimental cultures of Tribolium.Abstract:
Oscillatory populations may exhibit a phase change in which, for example, a high–low periodic pattern switches to a low–high pattern. We propose that phase shifts correspond to stochastic jumps between basins of attraction in an appropriate phase space which associates the different phases of a periodic cycle with distinct attractors. This mechanism accounts for two-cycle phase shifts and the occurrence of asynchronous replicates in experimental cultures of Tribolium .read more
Citations
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Dynamics of measles epidemics: scaling noise, determinism, and predictability with the tsir model
TL;DR: In this paper, the authors used the TSIR model to predict the long-term dynamics of measles and the balance between noise and determinism, as a function of population size.
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1200 years of regular outbreaks in alpine insects
TL;DR: The long-term history of Zeiraphera diniana Gn.
Journal ArticleDOI
Estimating chaos and complex dynamics in an insect population
TL;DR: In this article, a model- predicted sequence of transitions (bifurcations) in the dynamic behavior of a population from stable equilibria to quasiperiodic and periodic cycles to chaos to three-cycles using cultures of the flour beetle Tribolium.
Journal ArticleDOI
Analysing multiple time series and extending significance testing in wavelet analysis
TL;DR: This work used 1/ƒ β models to test cycles in the wavelet spectrum against a null hypothesis that takes into account the highly autocorrelated nature of ecological time series and used the maximum covariance analysis to compare the time-frequency patterns of numerous time series.
Book ChapterDOI
Metapopulation Dynamics of Infectious Diseases
TL;DR: Two main topics are explored: the analogies between the disciplines of ecology and epidemiology at the metapopulation level, and how the metAPopulation theory can help understand the epidemiological dynamics.
References
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Journal ArticleDOI
Estimating Chaos in an Insect Population
TL;DR: The laboratory data of the population dynamics of the flour beetle Tribolium castaneum show convincing evidence of transitions to chaos, according to the methodology used.
Journal ArticleDOI
Genetic analysis of a population of tribolium: vii. stability: response to genetic and demographic perturbations
TL;DR: A biological counterpart to mathematical stability analysis was demonstrated using the Tribolium model, showing the responses to deliberate demographic and genetic perturbations of T. castaneum populations to be similar to that of conventional stability analysis.
Population regulation and dynamics : proceedings of a Royal Society Discussion Meeting, held on 23 and 24 May 1990
Michael P. Hassell,Robert M. May +1 more
TL;DR: The population dynamics of plants, M.J.Crawley constancy and regulation in animal populations, I.H.Hanski regulation in fish populations - myth or mirage, J.P.Cushing the effects of within-population heterogeneity on the dynamics of populations and communities, P.Chesson population dynamics in spatially complex environments.
Book ChapterDOI
Dynamics and the Tribolium Model
TL;DR: This final chapter speculates on the emerging discipline of population dynamics and the role of Tribolium as an experimental animal model.