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Stability and dynamical behavior in a lake-model and implications for regime shifts in real lakes

Author

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  • Amemiya, Takashi
  • Enomoto, Takatoshi
  • Rossberg, Axel G.
  • Yamamoto, Tetsuya
  • Inamori, Yuhei
  • Itoh, Kiminori

Abstract

A modified abstract version of the Comprehensive Aquatic Simulation Model (CASM) is found to exhibit three types of folded bifurcations due to nutrient loading. The resulting bifurcation diagrams account for nonlinear dynamics such as regime shifts and cyclic changes between clear-water state and turbid state that have actually been observed in real lakes. In particular, pulse-perturbation simulations based on the model presented suggest that temporal behaviors of real lakes after biomanipulations can be explained by pulse-dynamics in complex ecosystems, and that not only the amplitude (manipulated abundance of organisms) but also the phase (timing) is important for restoring lakes by biomanipulation. Ecosystem management in terms of possible irreversible changes in ecosystems induced by regime shifts is also discussed.

Suggested Citation

  • Amemiya, Takashi & Enomoto, Takatoshi & Rossberg, Axel G. & Yamamoto, Tetsuya & Inamori, Yuhei & Itoh, Kiminori, 2007. "Stability and dynamical behavior in a lake-model and implications for regime shifts in real lakes," Ecological Modelling, Elsevier, vol. 206(1), pages 54-62.
    • Handle: RePEc:eee:ecomod:v:206:y:2007:i:1:p:54-62
    DOI: 10.1016/j.ecolmodel.2007.03.019
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    References listed on IDEAS

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    1. Bernd Blasius & Amit Huppert & Lewi Stone, 1999. "Complex dynamics and phase synchronization in spatially extended ecological systems," Nature, Nature, vol. 399(6734), pages 354-359, May.
    2. Guttal, Vishwesha & Jayaprakash, C., 2007. "Impact of noise on bistable ecological systems," Ecological Modelling, Elsevier, vol. 201(3), pages 420-428.
    3. Marten Scheffer & Steve Carpenter & Jonathan A. Foley & Carl Folke & Brian Walker, 2001. "Catastrophic shifts in ecosystems," Nature, Nature, vol. 413(6856), pages 591-596, October.
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    1. Li, Junmin & Huang, Ping & Zhang, Renduo, 2010. "Modeling the refuge effect of submerged macrophytes in ecological dynamics of shallow lakes: A new model of fish functional response," Ecological Modelling, Elsevier, vol. 221(17), pages 2076-2085.
    2. An, Qi & Wang, Hao & Wang, Xiunan, 2024. "Fish survival subject to algal bloom: Resource-based growth models with algal digestion delay and detritus-nutrient recycling delay," Ecological Modelling, Elsevier, vol. 491(C).
    3. A. Misra & P. Tiwari, 2015. "A model for the effect of density of human population on the depletion of dissolved oxygen in a water body," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 17(3), pages 623-640, June.
    4. Weissenberger, Sebastian & Lucotte, Marc & Houel, Stéphane & Soumis, Nicolas & Duchemin, Éric & Canuel, René, 2010. "Modeling the carbon dynamics of the La Grande hydroelectric complex in northern Quebec," Ecological Modelling, Elsevier, vol. 221(4), pages 610-620.

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