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Advances in Meteorology
Volume 2015, Article ID 215367, 10 pages
http://dx.doi.org/10.1155/2015/215367
Research Article

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

Bo Wang1,2,3 and Qianqian Qi3

1Institute of Applied Mathematics, Henan University, Kaifeng, Henan 475004, China
2LASG, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, China
3School of Mathematics and Statistics, Henan University, Kaifeng, Henan 475004, China

Received 19 June 2014; Accepted 2 September 2014

Academic Editor: Hann-Ming H. Juang

Copyright © 2015 Bo Wang and Qianqian Qi. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. M. Scheffer, S. Rinaldi, A. Gragnani, L. R. Mur, and E. H. Van Nes, “On the dominance of filamentous cyanobacteria in shallow, turbid lakes,” Ecology, vol. 78, no. 1, pp. 272–282, 1997. View at Publisher · View at Google Scholar · View at Scopus
  2. M. Scheffer, S. Szabó, A. Gragnani et al., “Floating plant dominance as a stable state,” Proceedings of the National Academy of Sciences of the United States of America, vol. 100, no. 7, pp. 4040–4045, 2003. View at Publisher · View at Google Scholar · View at PubMed · View at Scopus
  3. B. E. Beisner, D. T. Haydon, and K. Cuddington, “Alternative stable states in ecology,” Frontiers in Ecology and the Environment, vol. 1, no. 7, pp. 376–382, 2003. View at Google Scholar
  4. S. Harrison, “Ecology of shallow lakes by M. Scheffer—a book review,” Journal of Ecology, vol. 86, no. 6, pp. 1075–1076, 1998. View at Google Scholar
  5. M. Scheffer and S. R. Carpenter, “Catastrophic regime shifts in ecosystems: linking theory to observation,” Trends in Ecology and Evolution, vol. 18, no. 12, pp. 648–656, 2003. View at Publisher · View at Google Scholar · View at Scopus
  6. E. H. Van Nes and M. Scheffer, “Implications of spatial heterogeneity for catastrophic regime shifts in ecosystems,” Ecology, vol. 86, no. 7, pp. 1797–1807, 2005. View at Publisher · View at Google Scholar · View at Scopus
  7. G. J. Van Geest, H. Coops, M. Scheffer, and E. H. Van Nes, “Long transients near the ghost of a stable state in eutrophic shallow lakes with fluctuating water levels,” Ecosystems, vol. 10, no. 1, pp. 36–46, 2007. View at Publisher · View at Google Scholar · View at Scopus
  8. M. Scheffer, Ecology of Shallow Lakes, Chapman and Hall, New York, NY, USA, 1998.
  9. M. Mu, W. S. Duan, and B. Wang, “Conditional nonlinear optimal perturbation and its applications,” Nonlinear Processes in Geophysics, vol. 10, no. 6, pp. 493–501, 2003. View at Publisher · View at Google Scholar · View at Scopus
  10. M. Mu, W. Duan, Q. Wang, and R. Zhang, “An extension of conditional nonlinear optimal perturbation approach and its applications,” Nonlinear Processes in Geophysics, vol. 17, no. 2, pp. 211–220, 2010. View at Publisher · View at Google Scholar · View at Scopus
  11. G. D. Sun, M. Mu, and Y. L. Zhang, “Algorithm studies on how to obtain a conditional nonlinear optimal perturbation (CNOP),” Atmospheric Sciences, vol. 27, no. 6, pp. 1311–1321, 2010. View at Google Scholar
  12. M. Mu and W. S. Duan, “A new approach to studying ENSO predictability: conditional nonlinear optimal perturbation,” Chinese Science Bulletin, vol. 48, no. 10, pp. 1045–1047, 2003. View at Publisher · View at Google Scholar · View at Scopus
  13. W. S. Duan, M. Mu, and B. Wang, “Conditional nonlinear optimal perturbations as the optimal precursors for El Nino-Southern Oscillation events,” Journal of Geophysical Research D, vol. 109, no. 23, 12 pages, 2004. View at Publisher · View at Google Scholar · View at Scopus
  14. W. S. Duan and M. Mu, “Investigating decadal variability of El Nino-Southern Oscillation asymmetry by conditional nonlinear optimal perturbation,” Journal of Geophysical Research C, vol. 111, no. 7, Article ID C07015, 2006. View at Publisher · View at Google Scholar · View at Scopus
  15. W. S. Duan, F. Xue, and M. Mu, “Investigating a nonlinear characteristic of El Niño events by conditional nonlinear optimal perturbation,” Atmospheric Research, vol. 94, no. 1, pp. 10–18, 2009. View at Publisher · View at Google Scholar · View at Scopus
  16. W. S. Duan, H. Xu, and M. Mu, “Decisive role of nonlinear temperature advection in El Niño and La Niña amplitude asymmetry,” Journal of Geophysical Research C, vol. 113, no. 1, Article ID C01014, 2008. View at Publisher · View at Google Scholar · View at Scopus
  17. W. S. Duan and M. Mu, “Conditional nonlinear optimal perturbation: applications to stability, sensitivity, and predictability,” Science in China, Series D: Earth Sciences, vol. 52, no. 7, pp. 883–906, 2009. View at Publisher · View at Google Scholar · View at Scopus
  18. W. S. Duan, X. C. Liu, K. Y. Zhu, and M. Mu, “Exploring the initial errors that cause a significant “spring predictability barrier” for El Niño events,” Journal of Geophysical Research C: Oceans, vol. 114, no. 4, Article ID C04022, 2009. View at Publisher · View at Google Scholar · View at Scopus
  19. W. S. Duan and H. Y. Luo, “A new strategy for solving a class of constrained nonlinear optimization problems related to weather and climate predictability,” Advances in Atmospheric Sciences, vol. 27, no. 4, pp. 741–749, 2010. View at Publisher · View at Google Scholar · View at Scopus
  20. W. S. Duan and R. Zhang, “Is model parameter error related to a significant spring predictability barrier for El Niño events? Results from a theoretical model,” Advances in Atmospheric Sciences, vol. 27, no. 5, pp. 1003–1013, 2010. View at Publisher · View at Google Scholar · View at Scopus
  21. M. Mu and B. Wang, “Nonlinear instability and sensitivity of a theoretical grassland ecosystem to finite-amplitude perturbations,” Nonlinear Processes in Geophysics, vol. 14, no. 4, pp. 409–423, 2007. View at Publisher · View at Google Scholar · View at Scopus
  22. B. Wang and Z. Huo, “Extended application of the conditional nonlinear optimal parameter perturbation method in the Common Land Model,” Advances in Atmospheric Sciences, vol. 30, no. 4, pp. 1213–1223, 2013. View at Publisher · View at Google Scholar · View at Scopus
  23. B. Wang, Z. H. Huo, Q. Q. Qi, and P. J. Zhang, “The research on the lake eutrophication with CNOP method,” Advanced Materials Research, vol. 599, pp. 705–708, 2012. View at Google Scholar
  24. Q. Q. Qi and B. Wang, “Application of the CNOP method in the shallow lake ecosystem,” Advanced Materials Research, vol. 1010–1012, pp. 658–661, 2014. View at Publisher · View at Google Scholar