Application of the Conditional Nonlinear Optimal Perturbations Method in the Shallow Lake Ecological Degradation and Restoration

In the shallow lake ecosystems, the recovery of the aquatic macrophytes and the increase in the water transparency have been the main contents of the ecological restoration. Using the shallow lake ecological degradation and restoration model, CNOP method is adopted to discuss the instability and sen...

Full description

Bibliographic Details
Main Authors: Bo Wang, Qianqian Qi
Format: Article
Language:English
Published: Hindawi Limited 2015-01-01
Series:Advances in Meteorology
Online Access:http://dx.doi.org/10.1155/2015/215367
id doaj-dd87aa8efea94ea1935497182346984b
record_format Article
spelling doaj-dd87aa8efea94ea1935497182346984b2020-11-24T23:00:42ZengHindawi LimitedAdvances in Meteorology1687-93091687-93172015-01-01201510.1155/2015/215367215367Application of the Conditional Nonlinear Optimal Perturbations Method in the Shallow Lake Ecological Degradation and RestorationBo Wang0Qianqian Qi1Institute of Applied Mathematics, Henan University, Kaifeng, Henan 475004, ChinaSchool of Mathematics and Statistics, Henan University, Kaifeng, Henan 475004, ChinaIn the shallow lake ecosystems, the recovery of the aquatic macrophytes and the increase in the water transparency have been the main contents of the ecological restoration. Using the shallow lake ecological degradation and restoration model, CNOP method is adopted to discuss the instability and sensitivity of the ecosystem to the finite-amplitude perturbations related to the initial condition and the parameter condition. Results show that the linearly stable clear (turbid) water states can be nonlinearly unstable with the finite-amplitude perturbations, which represent the nature factors and the human activities such as the excessive harvest of the macrophytes and the sediment resuspension caused by artificially dynamic actions on the ecosystems. The results also support the viewpoint of Scheffer et al., whose emphasis is that the facilitation interactions between the submerged macrophytes and the water transparency are the main trigger for an occasional shift from a turbid to a clear state. Also, by the comparison with CNOP-I, CNOP-P, CNOP, and (CNOP-I, CNOP-P), results demonstrate that CNOP, which is not a simple combination of CNOP-I and CNOP-P, could induce the shallow lake ecosystem larger departure from the same ground state rather than CNOP-I, CNOP-P, and (CNOP-I, CNOP-P).http://dx.doi.org/10.1155/2015/215367
collection DOAJ
language English
format Article
sources DOAJ
author Bo Wang
Qianqian Qi
spellingShingle Bo Wang
Qianqian Qi
Application of the Conditional Nonlinear Optimal Perturbations Method in the Shallow Lake Ecological Degradation and Restoration
Advances in Meteorology
author_facet Bo Wang
Qianqian Qi
author_sort Bo Wang
title Application of the Conditional Nonlinear Optimal Perturbations Method in the Shallow Lake Ecological Degradation and Restoration
title_short Application of the Conditional Nonlinear Optimal Perturbations Method in the Shallow Lake Ecological Degradation and Restoration
title_full Application of the Conditional Nonlinear Optimal Perturbations Method in the Shallow Lake Ecological Degradation and Restoration
title_fullStr Application of the Conditional Nonlinear Optimal Perturbations Method in the Shallow Lake Ecological Degradation and Restoration
title_full_unstemmed Application of the Conditional Nonlinear Optimal Perturbations Method in the Shallow Lake Ecological Degradation and Restoration
title_sort application of the conditional nonlinear optimal perturbations method in the shallow lake ecological degradation and restoration
publisher Hindawi Limited
series Advances in Meteorology
issn 1687-9309
1687-9317
publishDate 2015-01-01
description In the shallow lake ecosystems, the recovery of the aquatic macrophytes and the increase in the water transparency have been the main contents of the ecological restoration. Using the shallow lake ecological degradation and restoration model, CNOP method is adopted to discuss the instability and sensitivity of the ecosystem to the finite-amplitude perturbations related to the initial condition and the parameter condition. Results show that the linearly stable clear (turbid) water states can be nonlinearly unstable with the finite-amplitude perturbations, which represent the nature factors and the human activities such as the excessive harvest of the macrophytes and the sediment resuspension caused by artificially dynamic actions on the ecosystems. The results also support the viewpoint of Scheffer et al., whose emphasis is that the facilitation interactions between the submerged macrophytes and the water transparency are the main trigger for an occasional shift from a turbid to a clear state. Also, by the comparison with CNOP-I, CNOP-P, CNOP, and (CNOP-I, CNOP-P), results demonstrate that CNOP, which is not a simple combination of CNOP-I and CNOP-P, could induce the shallow lake ecosystem larger departure from the same ground state rather than CNOP-I, CNOP-P, and (CNOP-I, CNOP-P).
url http://dx.doi.org/10.1155/2015/215367
work_keys_str_mv AT bowang applicationoftheconditionalnonlinearoptimalperturbationsmethodintheshallowlakeecologicaldegradationandrestoration
AT qianqianqi applicationoftheconditionalnonlinearoptimalperturbationsmethodintheshallowlakeecologicaldegradationandrestoration
_version_ 1725641367977197568