Lattice effects observed in chaotic dynamics of experimental populations.
Shandelle M. Henson,R. F. Costantino,Jim M. Cushing,Robert A. Desharnais,Brian Dennis,Aaron A. King +5 more
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This work compared the predictions of discrete-state and continuous-state population models and suggested that such lattice effects could be an important component of natural population fluctuations.Abstract:
Animals and many plants are counted in discrete units. The collection of possible values (state space) of population numbers is thus a nonnegative integer lattice. Despite this fact, many mathematical population models assume a continuum of system states. The complex dynamics, such as chaos, often displayed by such continuous-state models have stimulated much ecological research; yet discrete-state models with bounded population size can display only cyclic behavior. Motivated by data from a population experiment, we compared the predictions of discrete-state and continuous-state population models. Neither the discrete- nor continuous-state models completely account for the data. Rather, the observed dynamics are explained by a stochastic blending of the chaotic dynamics predicted by the continuous-state model and the cyclic dynamics predicted by the discrete-state models. We suggest that such lattice effects could be an important component of natural population fluctuations.read more
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Ecological forecasts reveal limitations of common model selection methods: predicting changes in beaver colony densities
Sean M. Johnson‐Bice,Sean M. Johnson‐Bice,Jake M. Ferguson,John D. Erb,Thomas D. Gable,Steve K. Windels,Steve K. Windels +6 more
TL;DR: This study demonstrates the importance of evaluating ecological models and predictions with long‐term data and revealed how a known limitation of information criteria (over‐fitting of complex models) can affect the authors' interpretation of ecological dynamics.
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Predicting Irregularities in Population Cycles
Shandelle M. Henson,James R. Reilly,Suzanne L. Robertson,Matthew Schu,Eric W. D. Rozier,Jim M. Cushing +5 more
TL;DR: In this paper, the authors use concepts from dynamical systems theory to present a model-based method for quantifying the risk of impending cycle irregularity, such as episodes of damped oscillation and abrupt changes of cycle phase.
Journal ArticleDOI
Effect of harvest timing on the dynamics of the Ricker-Seno model.
TL;DR: It is proved that harvest timing never has a negative effect on the global stability of populations governed by the Ricker model, which is one of the most relevant models in discrete-time population dynamics.
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Dynamics of the discrete Seno population model: Combined effects of harvest timing and intensity on population stability
TL;DR: In this paper, the impact of harvesting times and intensities on the stability properties of Seno population models was investigated and it was proved that sufficiently high harvest intensities are stabilizing for any harvesting time in the sense that they create a positive equilibrium that attracts all positive solutions.
References
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Stock and Recruitment
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