Case Studies
Nov 16, 2016

Reliability of Semiarid Flash Flood Modeling Using Bayesian Framework

Publication: Journal of Hydrologic Engineering
Volume 22, Issue 4

Abstract

A case study examining Bayesian techniques for assessing parameter and predictive uncertainty of semiarid flash flood events is presented here. The focus is on testing a fully distributed rainfall-runoff model (i.e., AFFDEF) linked with Markov chain Monte Carlo (MCMC) samplers to simulate four semiarid flash flood events with varying rainfall durations (<24  h) and amounts (>20  mm). MCMC samplers showed consistent behaviors with the a priori assumption and successfully improved performances on complex and multivariate search problems of semiarid flood simulation over the Abol-Abbas watershed, Iran. Analysis suggests that parameters associated with infiltration and interception capacity along with the contributing area threshold for the digital river network were the key model parameters and were more influential on the shape and volume of the flood hydrograph. Model predictive uncertainty was heavily dominated by error and bias in the soil water storage capacity, which reflects inadequate representation of the upper soil zone processes in the AFFDEF distributed model. Overall, the modeling results revealed that a fat-tailed Gaussian distribution using the standard least-squares (SLS) error assumption yielded improved estimates of parameter and predictive uncertainty for the semiarid flood events. This case study emphasizes the importance of proper statistical representation of the residual error distribution as a basis to improve parameter and predictive uncertainty.

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Acknowledgments

The authors appreciate those persons and agencies that assisted in accessing research data. Particular acknowledgment is given to the SCEM-UA, DREAM, and DREAM-ZS developer, Dr. Jasper Vrugt, from the University of California at Irvine, for his advice throughout the study. Special thanks are owed to Dr. Karim Abbaspour at the Swiss Federal Institute of Aquatic Science and Technology (Eawag), for providing an opportunity to visit Eawag for the first author during this research. The authors wish to thank three anonymous reviewers and the associate editor for their constructive criticism and fruitful discussions. This project was funded by Khozestan Water and Power Authority (KWPA) for Shahid Chamran University (Grant No. 038-02-02-89). The modified source code of AFFDEF linked to MCMC samplers can be obtained from the first author upon request.

References

Abbaspour, K. C., et al. (2007). “Modelling hydrology and water quality in the pre-alpine/alpine Thur watershed using SWAT.” J. Hydrol., 333(2), 413–430.
Abbaspour, K. C., Johnson, C. A., and Van Genuchten, M. T. (2004). “Estimating uncertain flow and transport parameters using a sequential uncertainty fitting procedure.” Vadose Zone J., 3(4), 1340–1352.
Ajami, N. K., Duan, Q., and Sorooshian, S. (2007). “An integrated hydrologic Bayesian multimodel combination framework: Confronting input, parameter, and model structural uncertainty in hydrologic prediction.” Water Resour. Res., 43(1), W01403.
Band, L. E. (1986). “Topographic partition of watersheds with digital elevation models.” Water Resour. Res., 22(1), 15–24.
Blasone, R. S., Vrugt, J. A., Madsen, H., Rosbjerg, D., Robinson, B. A., and Zyvoloski, G. A. (2008). “Generalized likelihood uncertainty estimation (GLUE) using adaptive Markov chain Monte Carlo sampling.” Adv. Water Resour., 31(4), 630–648.
Blöschl, G., Nester, T., Komma, J., Parajka, J., and Perdigão, R. A. P. (2013). “The June 2013 flood in the Upper Danube basin, and comparisons with the 2002, 1954 and 1899 floods.” Hydrol. Earth Syst. Sci., 17(12), 5197–5212.
Box, G. E., and Tiao, G. C. (2011). Bayesian inference in statistical analysis, Vol. 40, Wiley, Hoboken, NJ.
Brath, A., Montanari, A., and Moretti, G. (2003). “Assessing the effects on flood risk of land-use changes in the last five decades: An Italian case study.” Hydrology in Mediterranean and Semiarid Regions: Int. Conf., IAHS Press,Wallingford, U.K., 278, 435–441.
Chow, V. T., Maidment, D. R., and Mays, L. W. (1988). Applied hydrology, McGraw-Hill, New York, 572.
Clark, M. P., et al. (2008). “Framework for Understanding Structural Errors (FUSE): A modular framework to diagnose differences between hydrological models.” Water Resour. Res., 44(12), W00B02.
Clark, M. P., et al. (2015). “Improving the representation of hydrologic processes in earth system models.” Water Resour. Res., 51(8), 5929–5956.
Dekker, S. C., Vrugt, J. A., and Elkington, R. J. (2012). “Significant variation in vegetation characteristics and dynamics from ecohydrological optimality of net carbon profit.” Ecohydrology, 5(1), 1–18.
De Martonne, E. (1926). “L’indice d’aridité.” Bulletin de l’Association de géographes français, 3(9), 3–5.
Doorenbos, J., et al. (1984). “Guidelines for predicting crop water requirements.” FAO, Rome.
Essery, R., Morin, S., Lejeune, Y., and Menard, C. B. (2013). “A comparison of 1701 snow models using observations from an alpine site.” Adv. Water Resour., 55, 131–148.
Etemadi, H., Samadi, S., and Sharifikia, M. (2014). “Uncertainty analysis of statistical downscaling techniques in an arid region.” Clim. Dyn., 42(11–12), 2899–2920.
Etemadi, H., Samadi, S., Sharifikia, M., and Smoak, J. M. (2015). “Assessment of climate change downscaling and non-stationarity on the spatial pattern of a mangrove ecosystem in an arid coastal region of southern Iran.” Theor. Appl. Climatol., 1–15.
Feyen, L., Vrugt, J. A., Nualláin, B. Ó., van der Knijff, J., and De Roo, A. (2007). “Parameter optimisation and uncertainty assessment for large-scale streamflow simulation with the LISFLOOD model.” J. Hydrol., 332(3), 276–289.
Gelman, A., and Rubin, D. B. (1992). “Inference from iterative simulation using multiple sequences.” Stat. Sci., 7(4), 457–472.
Georgekakos, K. P., Seo, D. J., Gupta, H., Schaake, J., and Butts, M. B. (2004). “Characterizing streamflow simulation uncertainty through multimodel ensembles.” J. Hydrol., 298(1–4), 222–241.
Gupta, H. V., Clark, M. P., Vrugt, J. A., Abramowitz, G., and Ye, M. (2012). “Towards a comprehensive assessment of model structural adequacy.” Water Resour. Res., 48(8), 1–16.
Gupta, H. V., Sorooshian, S., and Yapo, P. O. (1998). “Toward improved calibration of hydrologic models: Multiple and noncommensurable measures of information.” Water Resour. Res., 34(4), 751–763.
Gupta, H. V., Wagener, T., and Liu, Y. (2008). “Reconciling theory with observations: Elements of a diagnostic approach to model evaluation.” Hydrol. Processes, 22(18), 3802–3813.
Kirchner, J. W. (2006). “Getting the right answers for the right reasons: Linking measurements, analyses, and models to advance the science of hydrology.” Water Resour. Res., 42(3), 1–5.
Klepper, O., Scholten, H., and van de Kamer, J. P. G. (1991). “Prediction uncertainty in an ecological model of the Oosterschelde Estuary.” J. Forecasting, 10(1–2), 191–209.
Kuczera, G., and Parent, E. (1998). “Monte Carlo assessment of parameter uncertainty in conceptual catchment models: The Metropolis algorithm.” J. Hydrol., 211(1), 69–85.
Kundzewicz, Z. W., and Kaczmarek, Z. (2000). “Coping with hydrological extremes.” Water Int., 25(1), 66–75.
Laloy, E., and Vrugt, J. A. (2012). “High-dimensional posterior exploration of hydrologic models using multiple-try DREAM (ZS) and high-performance computing.” Water Resour. Res., 48(1), 1–18.
Liu, Y., and Gupta, H. V. (2007). “Uncertainty in hydrologic modeling: Toward an integrated data assimilation framework.” Water Resour. Res., 43(7), 1–18.
Lu, D., Ye, M., Hill, M. C., Poeter, E. P., Curtis, G. P. (2014). “A computer program for uncertainty analysis integrating regression and Bayesian methods.” Environ. Modell. Software, 60, 45–56.
Madsen, H. E. N. R. I. K., Rosbjerg, D., Damgard, J., and Hansen, F. S. (2003). “Data assimilation in the MIKE 11 Flood Forecasting system using Kalman filtering.” Int. Assoc. Hydrol. Sci. Publ., 281, 75–81.
Mantovan, P., and Todini, E. (2006). “Hydrological forecasting uncertainty assessment: Incoherence of the GLUE methodology.” J. Hydrol., 330(1), 368–381.
McMillan, H., and Clark, M. (2009). “Rainfall-runoff model calibration using informal likelihood measures within a Markov chain Monte Carlo sampling scheme.” Water Resour. Res., 45(4), 1–12.
McMillan, H., Gueguen, M., Grimon, E., Woods, R., Clark, M., and Rupp, D. E. (2014). “Spatial variability of hydrological processes and model structure diagnostics in a 50  km2 catchment.” Hydrol. Processes, 28(18), 4896–4913.
Michaud, J. D. (1992). “Distributed rainfall-runoff modeling of thunderstorm generated floods: A case study in a mid-sized, semi-arid watershed in Arizona.” Ph.D. dissertation, Dept. of Hydrology and Water Resource, Univ. of Arizona, Tucson, AZ.
Milly, P. C. D., Wetherald, R., Dunne, K. A., and Delworth, T. L. (2002). “Increasing risk of great floods in a changing climate.” Nature, 415(6871), 514–517.
Montgomery, D. R., and Foufoula-Georgiou, E. (1993). “Channel network source representation using digital elevation models.” Water Resour. Res., 29(12), 3925–3934.
Moore, C., Wöhling, T., and Doherty, J. (2010). “Efficient regularization and uncertainty analysis using a global optimization methodology.” Water Resour. Res., 46(8), 1–17.
Moradkhani, H., Hsu, K.-L., Gupta, H., and Sorooshian, S. (2005). “Uncertainty assessment of hydrologic model states and parameters: Sequential data assimilation using the particle filter.” Water Resour. Res., 41(5), 1–14.
Moretti, G., and Montanari, A. (2007). “AFFDEF: A spatially distributed grid based rainfall-runoff model for continuous time simulations of river discharge.” Environ. Modell. Software, 22(6), 823–836.
Morse, B. S., Pohll, G., Huntington, J., and Rodrigues-Castillo, R. (2003). “Stochastic capture zone analysis of arsenic-contaminated well using the generalized likelihood uncertainty estimator (GLUE) methodology.” Water Resour. Res., 39(6), n/a.
Mosaedi, A., Zare Abyane, H., Ghabaei Sough, M., and Zahra Samadi, S. Z. (2015). “Long-lead drought forecasting using equiprobability transformation function for reconnaissance drought index.” Water Resour. Manage., 29(8), 2451–2469.
Nourali, M., Ghahraman, B., Pourreza-Bilondi, M., and Davary, K. (2016). “Effect of formal and informal likelihood functions on uncertainty assessment in a single event rainfall-runoff model.” J. Hydrol., 540, 549–564.
Osborn, H. B. (1964). “Effect of storm duration on runoff from rangeland watersheds in the semiarid southwestern United States.” Hydrol. Sci. J., 9(4), 40–47.
Pomeroy, J. W., et al. (2007). “The cold regions hydrological model: A platform for basing process representation and model structure on physical evidence.” Hydrol. Processes, 21(19), 2650–2667.
Sadeghi-Tabas, S., Samadi, S. Z., Akbarpour, A., and Pourreza-Bilondi, M. (2016). “Sustainable groundwater modeling using single-and multi-objective optimization algorithms.” J. Hydroinform., jh2016006.
Samadi, S. (2016). “Assessing the sensitivity of SWAT physical parameters to potential evapotranspiration estimation methods over a coastal plain watershed in the southeastern United States.” Hydrol. Res., nh2016034.
Samadi, S., Carbone, G., Mahdavi, M., Sharifi, F., and Bihamta, M. R. (2013a). “Statistical downscaling of streamflow in a semi-arid catchment.” Water Resour. Manage., 27(1), 117–136.
Samadi, S., Wilson, C. A., and Moradkhani, H. (2013b). “Uncertainty analysis of statistical downscaling models using Hadley Centre Coupled Model.” Theor. Appl. Climatol., 114(3–4), 673–690.
Schoups, G., and Vrugt, J. A. (2010). “A formal likelihood function for parameter and predictive inference of hydrologic models with correlated, heteroscedastic, and non- Gaussian errors.” Water Resour. Res., 46(10), 1–17.
Schoups, G., Vrugt, J. A., Fenicia, F., and Van de Giesen, N. C. (2010). “Corruption of accuracy and efficiency of Markov chain Monte Carlo simulation by inaccurate numerical implementation of conceptual hydrologic models.” Water Resour. Res., 46, W10530.
Sharifi, F., Samadi, S. Z., and Wilson, C. A. M. E. (2012). “Causes and consequences of recent floods in the Golestan catchments and Caspian Sea regions of Iran.” Nat. Hazards, 61(2), 533–550.
Soil Conservation Service. (1972). “Storm rainfall depth and distribution.” National engineering handbook, section 4, hydrology, U.S. Dept. of Agriculture,Washington, DC.
Stedinger, J. R., Vogel, R. M., Lee, S. U., and Batchelder, R. (2008). “Appraisal of the generalized likelihood uncertainty estimation (GLUE) method.” Water Resour. Res., 44(12), W00B06.
ter Braak, C. J. F. (2006). “A Markov chain Monte Carlo version of the genetic algorithm differential evolution: Easy Bayesian computing for real parameter space.” Stat. Comput., 16(3), 239–249.
ter Braak, C. J. F., and Vrugt, J. A. (2008). “Differential evolution Markov chain with snooker updater and fewer chains.” Stat. Comput., 18(4), 435–446.
Thiemann, M., Trosset, M., Gupta, H., and Sorooshian, S. (2001). “Bayesian recursive parameter estimation for hydrological models.” Water Resour. Res., 37(10), 2521–2535.
Tonkin, M., and Doherty, J. (2009). “Calibration- constrained Monte Carlo analysis of highly parameterized models using subspace techniques.” Water Resour. Res., 45(12), W00B10.
Tonkin, M. J., and Doherty, J. (2005). “A hybrid regularized inversion methodology for highly parameterized environmental models.” Water Resour. Res., 41(10), W10412.
Volkmann, T. H., Lyon, S. W., Gupta, H. V., and Troch, P. A. (2010). “Multicriteria design of rain gauge networks for flash flood prediction in semiarid catchments with complex terrain.” Water Resour. Res., 46(11), W11554.
Vrugt, J. A., Diks, C. G., Gupta, H. V., Bouten, W., and Verstraten, J. M. (2005). “Improved treatment of uncertainty in hydrologic modeling: Combining the strengths of global optimization and data assimilation.” Water Resour. Res., 41(1), W01017.
Vrugt, J. A., Gupta, H. V., Bastidas, L. A., Bouten, W., and Sorooshian, S. (2003a). “Effective and efficient algorithm for multi-objective optimization of hydrologic models.” Water Resour. Res., 39(8), .
Vrugt, J. A., Gupta, H. V., Bouten, W., and Sorooshian, S. (2003b). “A shuffled complex evolution metropolis algorithm for optimization and uncertainty assessment of hydrologic model parameters.” Water Resour. Res., 39(8), .
Vrugt, J. A., and Robinson, B. A. (2007). “Treatment of uncertainty using ensemble methods: Comparison of sequential data assimilation and Bayesian model averaging.” Water Resour. Res., 43(1), .
Vrugt, J. A., Ter Braak, C. J., Clark, M. P., Hyman, J. M., and Robinson, B. A. (2008). “Treatment of input uncertainty in hydrologic modeling: Doing hydrology backward with Markov chain Monte Carlo simulation.” Water Resour. Res., 44(12), W00B09.
Vrugt, J. A., Ter Braak, C. J., Gupta, H. V., and Robinson, B. A. (2009a). “Equifinality of formal (DREAM) and informal (GLUE) Bayesian approaches in hydrologic modeling?” Stochastic Environ. Res. Risk Assess., 23(7), 1011–1026.
Vrugt, J. A., Ter Braak, C. J. F., Diks, C. G. H., Robinson, B. A., Hyman, J. M., and Higdon, D. (2009b). “Accelerating Markov chain Monte Carlo simulation by differential evolution with self-adaptive randomized subspace sampling.” Int. J. Nonlinear Sci. Numer. Simul., 10(3), 273–290.
Vrugt, J. A., Weerts, A. H., and Bouten, W. (2001). “Information content of data for identifying soil hydraulic parameters from outflow experiments.” Soil Sci. Soc. Am. J., 65(1), 19–27.
Yatheendradas, S., et al. (2008). “Understanding uncertainty in distributed flash flood forecasting for semiarid regions.” Water Resour. Res., 44(5), W05S19.
Zhou, R., Li, Y., Lu, D., Liu, H., and Zhou, H. (2016). “An optimization based sampling approach for multiple metrics uncertainty analysis using generalized likelihood uncertainty estimation.” J. Hydrol., 540, 274–286.

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Journal of Hydrologic Engineering
Volume 22Issue 4April 2017

History

Received: Jan 19, 2016
Accepted: Sep 8, 2016
Published online: Nov 16, 2016
Published in print: Apr 1, 2017
Discussion open until: Apr 16, 2017

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Mohsen Pourreza-Bilondi [email protected]
Assistant Professor, Dept. of Water Engineering, Faculty of Agriculture, Univ. of Birjand, 97175615 Birjand, Iran (corresponding author). E-mail: [email protected]
S. Zahra Samadi
Adjunct Faculty, Dept. of Civil and Environmental Engineering, Univ. of South Carolina, Columbia, SC 29208.
Ali-Mohammad Akhoond-Ali
Professor, Dept. of Hydrology and Water Resources, Faculty of Water Sciences Engineering, Shahid Chamran Univ., Ahvaz, Iran.
Bijan Ghahraman
Professor, Dept. of Water Engineering, Faculty of Agriculture, Ferdowsi Univ. of Mashhad, 9177948974 Mashhad, Iran.

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