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Evaluation of flood season segmentation using seasonal exceedance probability measurement after outlier identification in the Three Gorges Reservoir

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Abstract

Flood season segmentation, which partitions an entire flood season into multiple subseasons, constitutes a considerable water resources management task. Moreover, the risks associated with various schemes for flood season segmentation should be evaluated. Preliminary analysis in this study used the principal component based outlier detection (PCOut) algorithm to identify possible outlying observations to reduce the uncertainty involved in flood season segmentation. Then, a quantitative measurement, the seasonal exceedance probability (SEP), was proposed to evaluate various segmentation schemes. The SEP quantifies the risk that the maximum observation occurs outside the main flood season. Several findings were derived based on a case study of China’s Three Gorges Reservoir (TGR) and daily streamflow records (1882–2010). (1) The PCOut algorithm was found effective in identifying outliers, and the estimation uncertainty of the segmentation evaluation due to outliers decreased when the end date of main flood season (EDMFS) was postponed. (2) The proposed SEP measurement was shown capable of supporting quantitative evaluation of the segmentation schemes in the flood season. (3) The current flood segmentation scheme based on an EDMFS of September 10 is sufficiently safe for the TGR. The findings of this study could help in the proper operation of the TGR.

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References

  • Aziz K, Haque MM, Rahman A, Shamseldin AY, Shoaib M (2016) Flood estimation in ungauged catchments: application of artificial intelligence based methods for Eastern Australia. Stoch Environ Res Risk Assess 31(6):1499-1514

    Article  Google Scholar 

  • Balzanella A, Romano E, Verde R (2016) Modified half-region depth for spatially dependent functional data. Stoch Environ Res Risk Assess 31(1):87–103

    Article  Google Scholar 

  • Becker C, Gather U (1999) The masking breakdown point of multivariate outlier identification rules. J Am Stat Assoc 94(447):947–955

    Article  Google Scholar 

  • Beurton S, Thieken AH (2009) Seasonality of floods in Germany. Hydrol Sci J 54(1):62–76

    Article  Google Scholar 

  • Black AR, Werritty A (1997) Seasonality of flooding: a case study of North Britain. J Hydrol 195(1):1–25

    Article  Google Scholar 

  • Cai Y, Davies N (2003) A simple diagnostic method of outlier detection for stationary gaussian time series. J Appl Stat 30(2):205–223

    Article  Google Scholar 

  • Chebana F, Dabo-Niang S, Ouarda TBMJ (2012) Exploratory functional flood frequency analysis and outlier detection. Water Resour Res 48(4):W04514

    Article  Google Scholar 

  • Chen L, Singh VP, Guo S, Fang B, Liu P (2013) A new method for identification of flood seasons using directional statistics. Hydrol Sci J 58(1):28–40

    Article  Google Scholar 

  • Chen L, Singh VP, Guo S, Zhou J, Zhang J, Liu P (2015) An objective method for partitioning the entire flood season into multiple sub-seasons. J Hydrol 528:621–630

    Article  Google Scholar 

  • Cohn TA, Engl JF, Berenbrock CE, Mason RR, Stedinger JR, Lamontagne JR (2013) A generalized Grubbs–Beck test statistic for detecting multiple potentially influential low outliers in flood series. Water Resour Res 49(8):5047–5058

    Article  Google Scholar 

  • Corney PM, Le DM, Smart SM, Kirby KJ, Bunce RGH, Marrs RH (2006) Relationships between the species composition of forest field-layer vegetation and environmental drivers, assessed using a national scale survey. J Ecol 94(2):383–401

    Article  Google Scholar 

  • Cunderlik JM, Ouarda TBMJ, Bobée B (2004a) On the objective identification of flood seasons. Water Resour Res 40(1):62–74

    Article  Google Scholar 

  • Cunderlik JM, Ouarda TBMJ, Bobée B (2004b) Determination of flood seasonality from hydrological records. Hydrol Sci J 49(3):511–526

    Article  Google Scholar 

  • Das S (2016) An assessment of using subsampling method in selection of a flood frequency distribution. Stoch Environ Res Risk Assess 31(8):2033-2045

    Article  Google Scholar 

  • Daszykowski M, Kaczmarek K, Vander Heyden Y, Walczak B (2007) Robust statistics in data analysis—a review basic concepts. Chemom Intell Lab Syst 85(2):203–219

    Article  CAS  Google Scholar 

  • Fabio R, Mauro F, Pasquale V (1984) Two-component extreme value distribution for flood frequency analysis. Water Resour Res 27(7):847–856

    Google Scholar 

  • Filzmoser P, Maronna R, Werner M (2008) Outlier identification in high dimensions. Comput Stat Data Anal 52(3):1694–1711

    Article  Google Scholar 

  • Gado TA, Nguyen V-T-V (2016) Comparison of homogenous region delineation approaches for regional flood frequency analysis at ungauged sites. J Hydrol Eng 21(3):04015068

    Article  Google Scholar 

  • Grubel R (1996) Orthogonalization of multivariate location estimators: the orthomedian. Ann Stat 24(4):1457–1473

    Article  Google Scholar 

  • Guo S, Chen L, Singh VP (2007) Flood coincidence risk analysis using multivariate copula functions. J Hydrol Eng 17(6):742–755

    Google Scholar 

  • Hau MC, Tong H (1989) A practical method for outlier detection in autoregressive time series modelling. Stoch Hydrol Hydraul 3(4):241–260

    Article  Google Scholar 

  • Hodge VJ, Austin J (2004) A survey of outlier detection methodologies. Artif Intell Rev 22(2):85–126

    Article  Google Scholar 

  • Hosking JRM (1990) L-moments: analysis and estimation of distributions using linear combinations of order statistics. J R Stat Soc B 52(1):105–124

    Google Scholar 

  • Huang L, Fang H, Xu X et al (2017) Stochastic modeling of phosphorus transport in the Three Gorges Reservoir by incorporating variability associated with the phosphorus partition coefficient. Sci Total Environ 592:649–661

    Article  CAS  Google Scholar 

  • Japkowicz N, Myers C, Gluck M (1995) A novelty detection approach to classification. In: Proceedings of the 14th international conference on artificial intelligence (IJCAI-95), pp 518–523

  • Koutroulis AG, Tsanis IK, Daliakopoulos IN (2010) Seasonality of floods and their hydrometeorologic characteristics in the island of Crete. J Hydrol 394:90–100

    Article  Google Scholar 

  • Lamontagne JR, Stedinger JR (2016) Examination of the Spencer–Mccuen outlier-detection test for log-Pearson type 3 distributed data. J Hydrol Eng 21(3):04015069

    Article  Google Scholar 

  • Lamontagne JR, Stedinger JR, Yu X, Whealton CA, Xu Z (2016) Robust flood frequency analysis: performance of EMA with multiple Grubbs–Beck outlier tests. Water Resour Res 52(4):3068–3084

    Article  Google Scholar 

  • Liu P, Guo S, Xiong L, Chen L (2010) Flood season segmentation based on the probability change-point analysis technique. Hydrol Sci J 55(4):540–554

    Article  Google Scholar 

  • Liu P, Li L, Guo S, Xiong L, Zhang W, Zhang J, Xu C-Y (2015) Optimal design of seasonal flood limited water levels and its application for the Three Gorges Reservoir. J Hydrol 527:1045–1053

    Article  Google Scholar 

  • Macdonald N, Phillips ID, Mayle G (2010) Spatial and temporal variability of flood seasonality in Wales. Hydrol Process 24(13):1806–1820

    Article  Google Scholar 

  • Maghrebi MF, Ahmadi A (2016) Stage-discharge prediction in natural rivers using an innovative approach. J Hydrol 545:172–181

    Article  Google Scholar 

  • Magilligan FJ, Graber BE (1996) Hydroclimatological and geomorphic controls on the timing and spatial variability of floods in New England, USA. J Hydrol 178(1–4):159–180

    Article  Google Scholar 

  • Magnotti JF, Billor N (2014) Finding multivariate outliers in fMRI time-series data. Comput Biol Med 53(1):115–124

    Article  Google Scholar 

  • Ministry of Water Resources (MWR) (1993) Regulation for calculating design flood of water resources and hydropower projects. Chinese Shuili Shuidian Press, Beijing (in Chinese)

    Google Scholar 

  • Mu H-Q, Yuen K-V (2015) Novel outlier-resistant extended Kalman filter for robust online structural identification. J Eng Mech 141(1):04014100

    Article  Google Scholar 

  • Nunez J, Hallack-Alegria M, Cadena M (2016) Resolving regional frequency analysis of precipitation at large and complex scales using a bottom-up approach: the Latin America and the Caribbean Drought Atlas. J Hydrol 538:515–538

    Article  Google Scholar 

  • Nurunnabi A, West G, Belton D (2015) Outlier detection and robust normal-curvature estimation in mobile laser scanning 3D point cloud data. Pattern Recogn 48(4):1404–1419

    Article  Google Scholar 

  • Ouarda TBMJ, Ashkar F, El-Jabi N (1993) Peaks over threshold model for seasonal flood variations. In: Engineering hydrology: proceedings international symposium, pp 341–346

  • Ouarda TBMJ, Cunderlik JM, St-Hilaire A, Barbet M, Bruneau P, Bobée B (2006) Data-based comparison of seasonality-based regional flood frequency methods. J Hydrol 330(1–2):329–339

    Article  Google Scholar 

  • Peña D, Prieto F (2001) Multivariate outlier detection and robust covariance matrix estimation. Technometrics 43(3):286–310

    Article  Google Scholar 

  • Reitan T, Petersen-Øverleir A (2009) Bayesian methods for estimating multi-segment discharge rating curves. Stoch Environ Res Risk Assess 23(5):627–642

    Article  Google Scholar 

  • Ro K, Zou C, Wang Z, Yin G (2015) Outlier detection for high-dimensional data. Biometrika 102(3):589–599

    Article  Google Scholar 

  • Rousseeuw PJ (1985) Multivariate estimation with high breakdown point. J Math Anal Appl 8:283–297

    Google Scholar 

  • Rousseeuw PJ, Croux C (1993) Alternatives to the median absolute deviation. J Am Stat Assoc 88(424):1273–1283

    Article  Google Scholar 

  • Sguera C, Galeano P, Lillo RE (2016) Functional outlier detection by a local depth with application to NO (x) levels. Stoch Environ Res Risk Assess 30(4):1115–1130

    Article  Google Scholar 

  • Singh VP, Wang SX, Zhang L (2005) Frequency analysis of nonidentically distributed hydrologic flood data. J Hydrol 307:175–195

    Article  Google Scholar 

  • Stout K (1985) Location and scatter quality control in automation. Springer, New York, pp 33–41

    Book  Google Scholar 

  • Strupczewski WG, Kochanek K, Weglarczyk S, Singh VP (2010) On robustness of large quantile estimates to largest elements of the observation series. Hydrol Process 21(10):1328–1344

    Article  Google Scholar 

  • Villarini G (2016) On the seasonality of flooding across the continental United States. Adv Water Resour 87:80–91

    Article  Google Scholar 

  • Ye T, Nie J, Wang J, Shi P, Wang Z (2015) Performance of detrending models of crop yield risk assessment: evaluation on real and hypothetical yield data. Stoch Environ Res Risk Assess 29(1):109–117

    Article  Google Scholar 

  • Zekri H, Mokhtari AR, Cohen DR (2016) Application of singular value decomposition (SVD) and semi-discrete decomposition (SDD) techniques in clustering of geochemical data: an environmental study in central Iran. Stoch Environ Res Risk Assess 30(7):1947–1960

    Article  Google Scholar 

  • Zhou Y, Guo S, Xu C-Y, Liu P, Qin H (2015) Deriving joint optimal refill rules for cascade reservoirs with multi-objective evaluation. J Hydrol 524:166–181

    Article  Google Scholar 

Download references

Acknowledgements

This study was supported by the National Key Research and Development Program (2016YFC0400907), the National Natural Science Foundation of China (51579180) and Excellent Young Scientist Foundation of the NSFC (51422907). The authors would like to thank the editor and the anonymous reviewers for their comments that helped improve the quality of the paper.

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Correspondence to Pan Liu.

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Pan, Z., Liu, P., Gao, S. et al. Evaluation of flood season segmentation using seasonal exceedance probability measurement after outlier identification in the Three Gorges Reservoir. Stoch Environ Res Risk Assess 32, 1573–1586 (2018). https://doi.org/10.1007/s00477-018-1522-4

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