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Mar 22, 2010

Parameter Estimation for Nonlinear Muskingum Model Based on Immune Clonal Selection Algorithm

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Publication: Journal of Hydrologic Engineering
Volume 15, Issue 10

Abstract

Parameter estimation of the nonlinear Muskingum model is a highly nonlinear optimization problem. Although various techniques have been applied to estimate the parameter of the nonlinear Muskingum flood routing model, an efficient method for parameter estimation in the calibration process is still lacking. In this paper, a novel approach of parameter estimation for the nonlinear Muskingum model based on the immune clonal selection algorithm (ICSA) is proposed. ICSA is a new intelligent algorithm, which can effectively overcome the prematurity and slow convergence speed of the traditional evolution algorithm. The ICSA method does not demand any initial estimate of values of any of the parameters. It determines the best parameter values in terms of the sum of square residual between the observed and routed outflows. The performance of this method was compared with other reported parameter estimation approaches. The results indicate that the ICSA method had higher precision than the other techniques and thus provided an efficient way for parameter estimation of the nonlinear Muskingum model.

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Acknowledgments

This work is supported by the Natural Science Foundation of China under Grant No. UNSPECIFIED50979088, the National High-Tech Research and Development Program of China under Grant No. UNSPECIFIED2006AA01A126, and the National Key Technology Research and Development Program of China under Grant No. UNSPECIFIED2006BAK01A11.

References

Ada, G. L., and Nossal, G. J. V. (1987). “The clonal selection theory.” Sci. Am., 257(2), 62–69.
Das, A. (2004). “Parameter estimation for Muskingum models.” J. Irrig. Drain. Eng., 130(2), 140–147.
Das, A. (2007). “Chance-constrained optimization-based parameter estimation for Muskingum models.” J. Irrig. Drain. Eng., 133(5), 487–494.
De Castro, L. N., and Timmis, J. (2002). Artificial immune systems: A new computational intelligence approach, Springer-Verlag, Berlin.
Du, H. F., et al. (2003). “Immune clonal selection algorithm and evolutionary algorithms.” Proc., 10th Int. Conf. on Artificial Intelligence: Progress of Artificial Intelligence, Beijing Univ. of Posts and Telecommunications Press, Guangzhou, China, 694–699.
Geem, Z. W. (2006). “Parameter estimation for the nonlinear Muskingum model using the BFGS technique.” J. Irrig. Drain. Eng., 132(5), 474–478.
Gill, M. A. (1978). “Flood routing by the Muskingum method.” J. Hydrol., 36, 353–363.
Jiao, L. C., and Du, H. F. (2003a). “The prospect of the artificial immune system.” Acta Electron. Sin., 31(10), 1540–1548.
Jiao, L. C., and Du, H. F. (2003b). “An artificial immune system: Progress and prospect.” Acta Electron. Sin., 31(10), 1540–1549.
Jiao, L. C., and Du, H. F. (2003c). “Development and prospect of the artificial immune system.” Acta Electron. Sin., 31(12), 73–80.
Kim, J. H., Geem, Z. W., and Kim, E. S. (2001). “Parameter estimation of the nonlinear Muskingum model using harmony search.” J. Am. Water Resour. Assoc., 37(5), 1131–1138.
Liu, F., Liu, Y., Chen, X., and Wang, J. -S. (2006). “Multi-agent immune clonal selection algorithm based multicast routing.” Lect. Notes Comput. Sci., 4222, 319–327.
McCarthy, G. T. (1938). “The unit hydrograph and flood routing.” Proc., Conf. of the North Atlantic Div., U.S. Army Corps of Engineers, New London, Conn.
Mohan, S. (1997). “Parameter estimation of nonlinear Muskingum models using genetic algorithm.” J. Hydraul. Eng., 123(2), 137–142.
Tarakanov, A., and Dasgupta, D. (2000). “A formal model of an artificial immune system.” Biosystems, 55(1–3), 151–158.
Tung, Y. K. (1985). “River flood routing by nonlinear Muskingum method.” J. Hydraul. Eng., 111(12), 1447–1460.
Wilson, E. M. (1974). Engineering hydrology, MacMillan Education Ltd., Hampshire, U.K.
Yoon, J., and Padmanabhan, G. (1993). “Parameter estimation of linear and nonlinear Muskingum models.” J. Water Resour. Plann. Manage., 119(5), 600–610.
Zhang, X. R., Shan, T., and Jiao, L. C. (2004). “SAR image classification based on immune clonal feature selection.” Lect. Notes Comput. Sci., 3212, 204–511.

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Published In

Go to Journal of Hydrologic Engineering
Journal of Hydrologic Engineering
Volume 15Issue 10October 2010
Pages: 844 - 851

History

Received: Dec 20, 2008
Accepted: Mar 13, 2010
Published online: Mar 22, 2010
Published in print: Oct 2010

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Authors

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Jungang Luo [email protected]
Assistant Professor, Institute of Water Resources and Hydro-Electric Engineering, Xi’an Univ. of Technology, No. 5 South Jinhua Rd., Xi’an Shaanxi 710048, China. E-mail: [email protected]
Jiancang Xie [email protected]
Professor, Institute of Water Resources and Hydro-Electric Engineering, Xi’an Univ. of Technology, No. 5 South Jinhua Rd., Xi’an Shaanxi, 710048, China (corresponding author). E-mail: [email protected]

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