TY - JOUR
T1 - A chaotic attractor in ecology
T2 - Theory and experimental data
AU - Cushing, J. M.
AU - Henson, Shandelle M.
AU - Desharnais, Robert A.
AU - Dennis, Brian
AU - Costantino, R. F.
AU - King, Aaron
N1 - Funding Information:
The research described in this paper was supported by US National Science Foundation Grants DMS-9625576 and DMS-9616205. Aaron King was supported by a post-doctoral fellowship from the Flinn Foundation under the Biology, Mathematics and Physics Initiative at the Interdisciplinary Program on Applied Mathematics, University of Arizona, Tucson.
Copyright:
Copyright 2017 Elsevier B.V., All rights reserved.
PY - 2001
Y1 - 2001
N2 - Chaos has now been documented in a laboratory population. In controlled laboratory experiments, cultures of flour beetles (Tribolium castaneum) undergo bifurcations in their dynamics as demographic parameters are manipulated. These bifurcations, including a specific route to chaos, are predicted by a well-validated deterministic model called the "LPA model". The LPA model is based on the nonlinear interactions among the life cycle stages of the beetle (larva, pupa and adult). A stochastic version of the model accounts for the deviations of data from the deterministic model and provides the means for parameterization and rigorous statistical validation. The chaotic attractor of the deterministic LPA model and the stationary distribution of the stochastic LPA model describe the experimental data in phase space with striking accuracy. In addition, model-predicted temporal patterns on the attractor are observed in the data. This paper gives a brief account of the interdisciplinary effort that obtained these results.
AB - Chaos has now been documented in a laboratory population. In controlled laboratory experiments, cultures of flour beetles (Tribolium castaneum) undergo bifurcations in their dynamics as demographic parameters are manipulated. These bifurcations, including a specific route to chaos, are predicted by a well-validated deterministic model called the "LPA model". The LPA model is based on the nonlinear interactions among the life cycle stages of the beetle (larva, pupa and adult). A stochastic version of the model accounts for the deviations of data from the deterministic model and provides the means for parameterization and rigorous statistical validation. The chaotic attractor of the deterministic LPA model and the stationary distribution of the stochastic LPA model describe the experimental data in phase space with striking accuracy. In addition, model-predicted temporal patterns on the attractor are observed in the data. This paper gives a brief account of the interdisciplinary effort that obtained these results.
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U2 - 10.1016/S0960-0779(00)00109-0
DO - 10.1016/S0960-0779(00)00109-0
M3 - Article
AN - SCOPUS:0342592535
VL - 12
SP - 219
EP - 234
JO - Chaos, Solitons and Fractals
JF - Chaos, Solitons and Fractals
SN - 0960-0779
IS - 2
ER -