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http://dx.doi.org/10.3741/JKWRA.2017.50.3.191

Robust parameter set selection of unsteady flow model using Pareto optimums and minimax regret approach  

Li, Li (Department of Water Resources, Graduate School of Water Resources, Sungkyunkwan University)
Chung, Eun-Sung (Department of Civil Engineering, Seoul National University of Science and Technology)
Jun, Kyung Soo (Department of Water Resources, Graduate School of Water Resources, Sungkyunkwan University)
Publication Information
Journal of Korea Water Resources Association / v.50, no.3, 2017 , pp. 191-200 More about this Journal
Abstract
A robust parameter set (ROPS) selection framework for an unsteady flow model was developed by combining Pareto optimums obtained by outcomes of model calibration using multi-site observations with the minimax regret approach (MRA). The multi-site calibration problem which is a multi-objective problem was solved by using an aggregation approach which aggregates the weighted criteria related to different sites into one measure, and then performs a large number of individual optimization runs with different weight combinations to obtain Pareto solutions. Roughness parameter structure which can describe the variation of Manning's n with discharges and sub-reaches was proposed and the related coefficients were optimized as model parameters. By applying the MRA which is a decision criterion, the Pareto solutions were ranked based on the obtained regrets related to each Pareto solution, and the top-rated one due to the lowest aggregated regrets of both calibration and validation was determined as the only ROPS. It was found that the determination of variable roughness and the corresponding standardized RMSEs at the two gauging stations varies considerably depending on the combinations of weights on the two sites. This method can provide the robust parameter set for the multi-site calibration problems in hydrologic and hydraulic models.
Keywords
Minimax regret approach; Pareto optimum; Robust parameter set selection; Unsteady flow model; Variable roughness coefficient;
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1 Ministry of Construction and Transportation (MOCT) (2002). "Han River Master Plan Report" Technical Report.
2 Atanov, G. A., Evseeva, E. G., and Meselhe E. A. (1999). "Estimation of roughness profile in trapezoidal open channel." J. Hydraul. Eng., Vol. 125, No. 3, pp. 309-312.   DOI
3 Chow, V. T. (1959). Open channel hydraulics. McGraw-Hill, New York.
4 Chung, E. S., and Kim, Y. (2014). "Development of fuzzy multicriteria approach to prioritize locations of treated wastewater use considering climate change scenarios." J. Environ. Manag., Vol. 146, pp. 505-516.   DOI
5 Horritt, M. S. (2000). "Calibration of a two-dimensional finite element flood flow model using satellite imagery." Water Resour. Res., Vol. 36, No. 11, 3279-3291.   DOI
6 Hunter, N. M., Bates, P. D., Horritt, M. S, De Roo, A. P. J., and Werner, M. G. F. (2005). "Utility of different data types for calibrating flood inundation models within a GLUE framework." Hydrol. Earth. Syst. Sci., Vol. 9, No. 4, pp. 412-430.   DOI
7 Hwang, E. J., and Jun, K. S. (1997). "Unsteady flow model for the Main Reach of the Han River: Calibration." Korea Water Resources Association, Vol. 30, No. 5, pp. 549-559.
8 Jun, K. S. (1996). "A study on unsteady flow model including weir flow simulation." J. Korea Water Resources Association, Vol. 29, No. 2, pp. 153-165.
9 Kim, Y., Chung, E. S., Won, K. J., and Gil, K. I. (2015b). "Robust parameter estimation framework of a rainfall-runoff model using pareto optimum and minimax regret approach." Water, Vol. 7, pp. 1246-1263.   DOI
10 Liggett, J. A., and Cunge, J. A. (1975). "Numerical methods of solution of the unsteady flow equations." In: Mohmmod, K., Yevjevich, V. (eds.), Unsteady flow in open channels, Water Resour. Publications, Fort Collins, Colo., pp. 89-182.
11 Coon, W. F. (1998). "Estimation of roughness coefficients for natural stream channels with vegetated banks." U.S. Geological Survey Water-Supply Paper, Vol. 2441, pp. 133.
12 Cunge, J. A., Holly, F. M., and Verwey, A. (1980). Practical aspects of computational river hydraulics. Pitman.
13 Dung, N. V., Merz, B., Bardossy, A., Thang, T. D., and Apel, H. (2011). "Multi-objective automatic calibration of hydrodynamic models utilizing inundation maps and gauge data." Hydrol. Earth Syst. Sci., Vol. 15, pp. 1339-1354.   DOI
14 Holly, F. M., Yang, J. C., Schwarz, P., Schaefer, J., Hsu, S. H., and Einhellig, R. (1990). "Numerical simulation of unsteady water and sediment movement in multiply connected networks of mobile-bed Channels." IIHR Report, No. 343, Iowa Inst. of Hydr. Res., Iowa.
15 Khatibi, R. H., Williams, J. J. R., and Wormleaton, P. R. (1997). Identification problem of open-channel friction parameter. J. Hydraul. Eng., Vol. 123, No. 12, pp. 1078-1088.   DOI
16 Khu, S. T., and Madsen, H. (2005). "Multiobjective calibration with Pareto preference ordering: An application to rainfall-runoff model calibration." Water Resour. Res., Vol. 41, No. W03004.
17 Kim, H. J., and Jun, K. S. (2004). "Unsteady flow model with variable roughness coefficient" Korea Water Resources Association, Vol. 37, No. 12, pp. 1055-1063.   DOI
18 Kim, Y., and Chung, E. S. (2014). "An index-based robust decision making framework for watershed management in a changing climate." Sci. Tot. Environ., Vol. 473, pp. 88-102.
19 Kim, Y., Chung, E. S., and Jun, S. (2015a). "Iterative framework for robust reclaimed wastewater allocation in a changing environment using multi-criteria decision making." Water Resour. Manage., Vol. 29, No. 2, pp. 295-311.   DOI
20 Liu, Y. B., Batelaan, O., De Smedt, F., Poorova, J., and Velcicka, L. (2005). "Automated calibration applied to a GIS-based flood simulation model using PEST." In: van Alphen, J., van Beek, E., Taal, M. (eds.), Floods, from Defence to Management, Taylor-Francis Group, London, pp. 317-326.
21 Loomes, G., and Sugden, R. (1982). "Regret theory: An alternative theory of rational choice under uncertainty.", Econ. J., Vol. 92, No. 4, pp. 805-824.   DOI
22 Loulou, R., and Kanudia, A. (1999). "Minimax regret strategies for greenhouse has abatement: Methodology and application." Oper. Res. Lett., Vol. 25, pp. 219-230.   DOI
23 Ramesh, R., Datta, B., Bhallamudi, S. M., and Narayana, A. (2000). "Optimal estimation of roughness in open-channel flows." J. Hydraul. Eng., Vol. 126, No. 4, pp. 299-303.   DOI
24 Rouse, H. (1965). "Critical analysis of open channel resistance." J. Hydraul. Div., Vol. 91, No. HY4, pp. 1-25.
25 Seibert, J., Uhlenbrook, S., Leibundgut, C., and Haldin, S. (2000). "Multiscale calibration and validation of a conceptual rainfallrunoff model." Phys. Chem. Earth, Vol. 25, No. 1, pp. 59-64.   DOI
26 Shinma, T. A., and Reis, L. F. R. (2014). "Incorporating multi-event and multi-site data in the calibration of SWMM." Proc. Eng., Vol. 79, pp. 75-84.
27 Stevenson, W. J., and Ozgur, C. 2007. Introduction to management science with spreadsheets. McGraw-Hill, New York.