The Sensitivity Analysis of a Lake Ecosystem with the Conditional Nonlinear Optimal Perturbation Method | Zendy

Bo Wang | Zendy; Peijun Zhang | Zendy; Zhenhua Huo | Zendy; Qianqian Qi | Zendy

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The Sensitivity Analysis of a Lake Ecosystem with the Conditional Nonlinear Optimal Perturbation Method

Author(s) -

Bo Wang,

Peijun Zhang,

Zhenhua Huo,

Qianqian Qi

Publication year - 2012

Publication title -

advances in meteorology

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.482

H-Index - 32

eISSN - 1687-9317

pISSN - 1687-9309

DOI - 10.1155/2012/562081

Subject(s) - eutrophication , perturbation (astronomy) , amplitude , ecosystem , nonlinear system , instability , sensitivity (control systems) , physics , environmental science , mathematics , nutrient , ecology , biology , mechanics , engineering , quantum mechanics , electronic engineering

The instability and sensitivity of a lake ecosystem to the finite-amplitude perturbations related to the initial condition and the parameter correspondingly are studied. The CNOP-I and CNOP-P methods are adopted to investigate this nonlinear system. The numerical results with CNOP-I method show that the lake ecosystem can be nonlinearly unstable with finite-amplitude initial perturbations when the nutrient loading rate is between the two bifurcation points. A large enough finite amplitude initial perturbation, that is, CNOP-I, can induce a transition from an oligotrophic (eutrophic) state to an eutrophic (oligotrophic) state. With CNOP-P method, it is shown that the lake ecosystem can be transformed from an oligotrophic (eutrophic) state to an eutrophic (oligotrophic) state with a large enough finite amplitude parameter perturbation, that is, CNOP-P, no matter how large the nutrient loading rate is

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