Abstract
When employing flood forecasting in practical applications, such as reservoir operation, one important issue is to deal with the uncertainty involved in forecasting. Traditional studies dealing with the uncertainty of flood forecasting have been limited when describing the evolution of forecast uncertainty. This chapter introduces a copula-based uncertainty evolution (CUE) model to evaluate the uncertainty of flood forecasts. The generated forecast uncertainty series fit the observed series well in terms of observed mean, standard deviation and skewness. Daily flow with forecast uncertainty are simulated and used to determine the effect of forecast uncertainty on real-time reservoir operation. Results show that using the forecasted inflow coupled with the pre-release module for reservoir operation in flood seasons will not increase flood risks.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Aas K, Czado C, Frigessi A, Bakken H (2009) Pair-copula constructions of multiple dependence. Insur Math Econ 44(2):182–198
Alemu ET, Palmer RN, Polebitski A, Meaker B (2011) Decision support system for optimizing reservoir operations using ensemble streamflow predictions. J Water Res PL-ASCE 137(1):72–82
Boucher MA, Tremblay D, Delorme L, Perreault L, Anctil, F (2012) Hydro-economic assessment of hydrological forecasting systems. J Hydrol 416:133–144
Breymann W, Dias A, Embrechts P (2003) Dependence structures for multivariate high-frequency data in finance. Quant. Finance 3:1–14
Chen L, Singh VP, Guo S, Zhou J (2015) Copula-based method for multisite monthly and daily streamflow simulation. J Hydrol 528:369–384
Chen L, Singh VP, Lu W, Zhang J, Zhou J, Guo S (2016) Streamflow forecast uncertainty evolution and its effect on real-time reservoir operation. J Hydrol 540(2016):712–726
Demarta S, McNeil AJ (2005) The t copula and related copulas. Int Stat Rev 73:111–129
European Commission (2011) Flood and their impacts. http://ec.europa.eu/environ-ment/water/flood_risk/impacts.htm. Retrieved date: 12 April 2011
Harvey H, Hall J, Peppé R (2012) Computational decision analysis for flood risk management in an uncertain future. J Hydroinform 14(3):537–561
Heath DC, Jackson PL (1994) Modeling the evolution of demand forecasts with application to safety stock analysis in production distribution systems. IIE Trans 26:17–30
Hörmann W, Sak H (2010) t-copula generation for control variates. Math Comput. Simulat 81(4):782–790
Hossain F, Anagnostou EN, Dinku T (2004) Sensitivity analyses of satellite rainfall retrieval and sampling error on flood prediction uncertainty. IEEE Trans Geosci Remote Sens 42(1):130–139
Krzysztofowicz R (2002) Bayesian system for probabilistic river stage forecasting. J Hydrol 268:16–40
Lee T, Salas J (2011) Copula-based stochastic simulation of hydrological data applied to Nile River flows. Hydrol Res 42(4):318–330
Li L, Xia J, Xu CY, Singh VP (2010) Evaluation of the subjective factors of the GLUE method and comparison with the formal Bayesian method in uncertainty assessment of hydrological models. J Hydrol 390:210–221
Montanari A, Grossi G (2008) Estimating the uncertainty of hydrologic forecasts: a statistical approach. Water Resour Res 44:W00B08. https://doi.org/10.1029/2008wr00687
Morss RE, Olga V, Wilhelmi MW, Downton Eve Gruntfest (2005) Flood risk, uncertainty, and scientific information for decision making: lessons from an Interdisciplinary Project. Bull Am Meteor Soc 86:1593–1601
Nester T, Komma J, Viglione A, Blöschl G (2012) Flood forecast errors and ensemble spread—a case study. Water Resour Res 48:WR011649
Pham TV (2011) Tracking the uncertainty in streamflow prediction through a hydrological forecasting system. http://essay.utwente.nl/61064/
Pokhrel P, Robertson DE, Wang QJ (2013) A Bayesian joint probability post-processor for reducing errors and quantifying uncertainty in monthly streamflow predictions. Hydrol Earth Syst Sci 17:795–804
Rabuffetti D, Ravazzani G, Corbari C, Mancini M (2008) Verification of operational quantitative discharge forecast (QDF) for a regional warning system—the AMPHORE case studies in the upper Po River. Nat Hazards Earth Syst Sci 8:161–173
Schoups G, Vrugt JA (2010) A formal likelihood function for parameter and predictive inference of hydrologic models with correlated, heteroscedastic, and non-Gaussian errors. Water Resour Res 46:W10531. https://doi.org/10.1029/2009WR008933
Smith K, Ward R (1998) Floods: physical processes and human impacts. Wiley 24(13)
Xu ZX, Ito K, Liao S, Wang L (1997) Incorporating inflow uncertainty into risk assessment for reservoir operation. Stochastic Hydrol Hydraul 11(5):433–448
Yan J (2007) Enjoy the joy of copulas: With a package copula. J Stat Softw 21(4):1–21
Yan B, Guo S, Chen L (2014) Estimation of reservoir flood control operation risks with considering inflow forecasting errors. Stoch Env Res Risk A 28(2):359–368
Zhang J, Chen L, Singh VP, Cao W, Wang D (2015) Determination of the distribution of flood forecasting error. Nat Hazards 1:1389–1402
Zhao T, Zhao J, Yang D, Wang H (2013) Generalized martingale model of the uncertainty evolution of streamflow forecasts. Adv Water Resour 57:41–51
Zhao T, Cai X, Yang D (2011) Effect of streamflow forecast uncertainty on real-time reservoir operation. Adv Water Resour 34(4):495–504
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2019 Springer Nature Singapore Pte Ltd.
About this chapter
Cite this chapter
Chen, L., Guo, S. (2019). Copula-Based Uncertainty Evolution Model for Flood Forecasting. In: Copulas and Its Application in Hydrology and Water Resources. Springer Water. Springer, Singapore. https://doi.org/10.1007/978-981-13-0574-0_9
Download citation
DOI: https://doi.org/10.1007/978-981-13-0574-0_9
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-13-0573-3
Online ISBN: 978-981-13-0574-0
eBook Packages: Earth and Environmental ScienceEarth and Environmental Science (R0)