Complex Dynamics of Mason Pine Caterpillar, Dendrolimus punctatus (Lepidoptera: Lasiocampidae) Populations

We detected the existence of chaotic behavior in mason pine caterpillar (MPC) populations using response surface methods. We found that a small noise made the local Lyapunov Exponents fluctuated above zero, though all estimated Global Lyapunov Exponents were negative and the local Lyapunov Exponents were fluctuated below zero without the noise. This implies that noise could play an important role on the population dynamics and causes in the system. The simulation result showed the damped oscillation or limited cycle. The population dynamics of year-to-year time series damped quickly to the equilibrium while that of generation to generation time series ran relatively slowly to the equilibrium. The temporal pattern of MPC may vary at different temporal and spatial scales. Population dynamics are more relatively irregular and erratic at smaller scales. For the management of MPC most important prediction is at the beginning of the outbreak. Because of possible chaotic dynamics and first order density dependent, continuous monitoring is needed. The prediction for the next generation should be most reliable.

[1]  G. Ruxton,et al.  Short Term Refuge Use and Stability of Predator-Prey Models , 1995 .

[2]  William G. Wilson,et al.  Mobility versus density-limited predator-prey dynamics on different spatial scales , 1991, Proceedings of the Royal Society of London. Series B: Biological Sciences.

[3]  J. González-Andújar,et al.  The effect of dispersal between chaotic and non-chaotic populations within a metapopulation , 1993 .

[4]  Robert M. May,et al.  Patterns of Dynamical Behaviour in Single-Species Populations , 1976 .

[5]  George Sugihara,et al.  Nonlinear forecasting as a way of distinguishing chaos from measurement error in time series , 1990, Nature.

[6]  David Lloyd,et al.  CHAOS: ITS SIGNIFICANCE AND DETECTION IN BIOLOGY , 1995 .

[7]  H. Simon,et al.  The Organization of Complex Systems , 1977 .

[8]  Stephen P. Ellner,et al.  Chaos in a Noisy World: New Methods and Evidence from Time-Series Analysis , 1995, The American Naturalist.

[9]  R. May,et al.  Bifurcations and Dynamic Complexity in Simple Ecological Models , 1976, The American Naturalist.

[10]  Marten Scheffer,et al.  Implications of spatial heterogeneity for the paradox of enrichment , 1995 .

[11]  José Luis González-Andújar,et al.  Chaos, metapopulations and dispersal , 1993 .

[12]  Zizhen Li,et al.  Influence of intraspecific density dependence on a three-species food chain with and without external stochastic disturbances , 2002 .

[13]  Hüseyin Koçak Deterministic Chaos: An Introduction; Second revised Revised Edition (Heinz Georg Schuster) , 1989, SIAM Rev..

[14]  Bernard C. Patten,et al.  Synthesis of chaos and sustainability in a nonstationary linear dynamic model of the American black bear (Ursus americanus Pallas) in the Adirondack Mountains of New York , 1997 .

[15]  William F. Morris,et al.  PROBLEMS IN DETECTING CHAOTIC BEHAVIOR IN NATURAL POPULATIONS BY FITTING SIMPLE DISCRETE MODELS , 1990 .

[16]  I. Scheuring,et al.  When Two and Two Make Four: A Structured Population Without Chaos , 1996 .

[17]  R M May,et al.  Biological Populations with Nonoverlapping Generations: Stable Points, Stable Cycles, and Chaos , 1974, Science.

[18]  Vikas Rai,et al.  Why chaos is rarely observed in natural populations , 1997 .

[19]  Graeme D. Ruxton,et al.  Chaos in a Three‐Species Food Chain with a Lower Bound on the Bottom Population , 1996 .

[20]  C. Zimmer Life After Chaos , 1999, Science.

[21]  Lewi Stone,et al.  Period-doubling reversals and chaos in simple ecological models , 1993, Nature.

[22]  Alan Hastings,et al.  Re–evaluating the omnivory–stability relationship in food webs , 1997, Proceedings of the Royal Society of London. Series B: Biological Sciences.

[23]  Peter Turchin,et al.  Complex Dynamics in Ecological Time Series , 1992 .

[24]  Robert A. Cheke,et al.  Complex dynamics of desert locust plagues , 1993 .