Robust Water Quality Model Calibration Using an Alternating Fitness Genetic Algorithm
Publication: Journal of Water Resources Planning and Management
Volume 130, Issue 6
Abstract
Presented herein is a robust approach to calibrating water quality models for water quality management using sparse field data. The calibration procedure adopts genetic algorithms (GAs) to inversely solve the governing equations, along with an alternating fitness method to maintain solution diversity. The proposed approach is illustrated with a total phosphorus model of the Triadelphia Reservoir in Maryland. A series of deterministic and stochastic alternating fitness GA schemes are implemented and compared with a standard GA. Significantly higher diversity is observed in the solutions obtained by the alternating fitness method than by the standard process. The diversified solutions obtained by the alternating fitness GA method are then classified into several patterns using a parameter pattern recognition model. The best solutions to each pattern are then chosen for further projection analyses, which generate a range of prediction results that provide decision makers with information for formulating sound pollution control schemes.
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References
1.
Cao, Y. I., and Wu, Q. H. (1999). “Optimization of control parameters in genetic algorithms: A stochastic approach.” Int. J. Syst. Sci., 30(2), 551–559.
2.
Chapra, S. C., and Canale, R. P. (1991). “Long-term phenomenological model of phosphorus and oxygen for stratified lakes.” Water Res., 25(6), 707–715.
3.
Eisen Lab. (2003). 〈http://rana.lbl.gov〉.
4.
Gen, M., and Cheng, R.W. (2000). Genetic algorithm and engineering optimization, Wiley, New York.
5.
Goldberg, D.E. (1989). “Genetic algorithms in search, optimization, and machine learning.” Addison-Wesley, Reading, Mass.
6.
Imboden, D. M. (1974). “Phosphorus model of lake eutrophication.” Limnol. Oceanogr., 19, 297–304.
7.
Little, K. W., and Lauria, D. T. (1989). “Water quality model calibration: A comparison of Input and output error criteria.” Water Resour. Bull., 25(4), 755.
8.
Little, K. W., and Williams, R. E. (1992). “Least-squares calibration of QUAL2E.” Water Environ. Res., 64, 179–185.
9.
Lorenzen, M.W., Smith, D.J., and Kimmel, L.V. (1976). “A long-term phosphorus model for lakes: Application to Lake Washington.” Modeling biochemical processes in aquatic ecosystems, R. P. Canale, ed., Ann Arbor Science, Ann Arbor, Mich., 75–91.
10.
Lung, W. S. (1976). “Phosphorus models for eutrophic lakes.” Water Res., 10, 1101–1114.
11.
Lung, W.S. (1993). Application to estuaries, Water quality modeling, Vol. III, CRC Press, Boca Raton, Fla.
15.
Mulligan, A. E., and Brown, L. C. (1998). “Genetic algorithms for calibrating water quality models.” J. Environ. Eng., 124(3), 202–211.
16.
Obayashi, S. (1997). “Aerodynamic inverse optimization problems.” Genetic algorithms in engineering systems, A. M. S. Zalzala and P. J. Fleming, eds., Institution of Electrical Engineers, London.
17.
Ronald, S.P. (1994). “Preserving diversity in routing genetic algorithms: Comparisons with hash tagging,” Technical Rep., Dept. of Computer and Information Science, Univ. of South Australia, Adelaide, Australia.
19.
Shen, J., and Kuo, A. Y. (1998). “Application of inverse method to calibrate estuarine eutrophication model.” J. Environ. Eng., 124(5), 409–418.
20.
Vollenweider, R. A. (1969). “Moglichkeiten und Grenzen elementarer Modelle der Stoffbilanz von Seen.” Archiv Hydrobiol., 66, 1–36.
21.
Welch, E. B., Spyridakis, D. E., Schuster, J. I., and Horner, R. R. (1986). “Declining lake sediment phosphorus release and oxygen deficit following wastewater diversion.” J. Water Pollut. Control Fed., 58, 92–96.
22.
Zalzala, A.M. S., and Fleming, P.J. (1997). Genetic algorithms in engineering systems, Institution of Electrical Engineers, London.
23.
Zou, R. (2002). “Hybrid hard-soft computing approach for data assimilation and uncertainty analysis of water quality modeling.” PhD dissertation, Univ. of Virginia, Charlottesville, Va.
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Copyright © 2004 ASCE.
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Published online: Oct 15, 2004
Published in print: Nov 2004
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