Depth based regional flood frequency analysis

Document Type : Research Paper

Authors

Abstract

By using regionalization methods information from gauged sites transform to desired site. Up until now a variety of regionalization approaches have been proposed. In every site it is necessary to evaluate these methods and select the best method. It is of interest to understand how spatial weighted least square regression method based on depth function flood quantiles (SWLSR) compare with multivariate regression (MR) and Physiographical space-based kriging (PSK) methods. In each iteration desired station regarded as ungauged site then using genetic algorithm depth functions weights were optimized, finally (regarding) by taking account similarity between desired site and others sites flood quantiles corresponding to different return periods were estimated. By means of a leave-one-out cross-validation procedure, the performance of SWLSR was compared to MR and PSK methods for prediction of 10, 50 and 100 yr for 26 gauging station in the Southern Alborz. . The Result showed SWLSR approach yielded lower root-mean-square estimation errors and higher Nush Sutcliffe criteria thaneither the MR or the PSK approaches. PSK method estimated foold discharge in ungaged basin better than MR. In depth based approach Nush Sutcliffe criteria values for flood quintiles (Nash–Sutcliffe efficiency values for 10,50 and 100 yr floods were 0.64, 0.65 and 0.65 respectivly) three corresponding to different return periods were similar.In this method relative error to area in small catchment were biger than those obtained in big catchment.

Keywords

Main Subjects


Archfield, S. A., Pugliese, A., Castellarin, A., Skøien, J. O. and Kiang, J. E. (2013.) Topological and canonical kriging for design flood prediction in ungauged catchments: an improvement over a traditional regional regression approach?.Hydrol. Earth Syst. Sci, 17, pp.1575–1588.
Bardossy, A. and Singh, S. K. (2008) Robust estimation of hydrologi-cal model parameters, Hydrol. Earth Syst. Sci, 12, pp. 1273–1283.
Burn, D.H. (1990) Evaluation of regional flood frequency analysis with a region of influence approach, Water Resour. Re., 26, pp. 2257–2265.
Castiglioni, S., Castellarin, A. and Montanari, A. (2009) Prediction of low-flow indices in ungauged basins through physio-graphical space-based interpolation, J. Hydrol, 378, PP.272–280
Chebana, F. and Ouarda, T. B. M. J. (2008) Depth and homogeneity in regional flood frequency analysis, Water Resour. Res, 44, W11422, doi :10.1029/2007WR006771.
 Chebana, F. and Ouarda, T. B. M. J. (2011a)  Depth-based multivariate de-scriptive statistics with hydrological applications, J. Geophys. Res.-Atmos, 116, D10120.
Chebana, F. and Ouarda, T. B. M. J. (2011b) Multivariate extreme value identification using depth functions, Environmetrics, 22, PP. 441–455.
Chokmani, F. and Ouarda, T. B. M. J. (2004) Physiographical space based kriging for regional flood frequency estimation at ungauged sites,Water Resour. Res, 40, PP. 1–13.
Cunderlik, J.M and Burn, D.H. (2006) Switching the pooling similarity distances: Mahalanobis for Euclidean. WATER RESOURCES RESEARCH, VOL. 42, W03409.
Gingras, D. and Adamowski, K. (1992) Coupling of nonparametric frequency and L-moment analysis for mixed distribution identification. Water Resources Bulletin, 28: PP. 263 – 272.
Grehys, (1996) Presentation and review of some methods for regional flood frequency analysis, J. Hydrol, 186, PP. 63–84.
 Grover, P.L., Burn, D.H. and Cunderlik, J.M. (2002) A comparison of index flood estimation procedures for ungauged catchments. Canadian Journal of Civil Engineering, 29 : PP. 734 – 741.
Javelle, P., Ouarda, T.B.M.J., Lang, M., Bobee, B., Galea, G. and Gresillon, G.M. (2002) Development of regional flood-duration-frequency curves based on the index-flood method. Journal of Hydrology, 258(1 – 4): PP. 249 – 259.
Kraube, T. and Cullmann, J. (2012) Towards a more representative parametrisation of hydrologic models via synthesizing the strengths of Particle Swarm Optimisation and Robust Parameter Estimation, Hydrol. Earth Syst. Sci, 16, PP. 603–629.
Kraube, T., Cullmann, J., Saile, P. and Schmitz, G. H. (2012) Robust Multi objective calibration strategies possibilities for improv-ing flood forecasting, Hydrol. Earth Syst. Sci, 16,PP. 3579–3606,
Ouarda, T. B. M. J., Girard, C., Cavadias, G. S. and Bobee, B. (2001) Regional flood frequency estimation with canonical correlation analysis, J. Hydrol, 254, PP.157–173.
Ouarda, T. B. M. J., Ba, K. M., Diaz-Delgado, C., Carsteanu, A., Chokmani, K., Gingras, H., Quentin, E., Trujillo, E. and Bobee, B. (2008) Intercomparison of regional flood frequency estimation methods at ungauged sites for a Mexican case study, J. Hydrol, 348, PP. 40–58.
Pandey, G.R. and Nguyen, V.T.V. (1999) A comparative study of regression based methods in regional flood frequency analysis. Journal of Hydrology, 225: PP. 92 – 101.
Saf, B. (2008) Application of index procedures to flood frequency analysis in Turkey. Journal of the American Water Resources Association, 44 (1): PP. 37 – 47.
Sheikh, Z., Dehvari, A. and Farsadnia, F. (2014) Comparison Canonical Kriging and Linear Moments Methods for Regiona Flood Frequency Analysis in Mazandaran Province. Iran-Watershed Management Science & Engineering, Vol. 8, No. 25. PP. 25-38. (In Farsi).
Shu, C. and Ouarda, T. B. M. J. (2007) Flood frequency analysis at ungauged sites using artificial neural networks in canonical co-relation analysis physiographic space, Water Resour. Re., 43, W07438,doi:10.1029/2006WR005142.
Stedinger, J.R. and Lu, L.H. (1995) Appraisal of regional and index flood quantile estimators. Stochastic Hydrolics and Hydraulics 9(1): PP. 49 – 75.
Tukey, J.W. (1974) Mathematics and the picturing of data, Vol. 2, Proceedings of the International Congress of Mathematicians, Van-couver, B.C., 1974, Canad. Math. Congress, Montreal, Quebec, PP. 523–531,
Verhulst, P. F. (1938) Notice sur la loique la population pursuit dans son accroissement, Correspondance Math´ematiqueet Physique, 10, PP. 113–121.
Wazneh, H.Chebana, F. and Ouarda, T. B. M. J. (2013a) Optimal depth-based regional frequency analysis.Hydrol. Earth Syst. Sci., 17, PP. 2281–2296.
Wazneh, H., Chebana, F. and Ouarda, T. B. M. J. (2013b) Depth-based regional index-flood model.WATER RESOURCES RESEARCH, VOL. 49, PP. 7957–7972.