Technical Papers
Mar 10, 2018

Uncertainty Propagation of Hydrologic Modeling in Water Supply System Performance: Application of Markov Chain Monte Carlo Method

Publication: Journal of Hydrologic Engineering
Volume 23, Issue 5

Abstract

It is imperative for cities to develop sustainable water management and planning strategies in order to best serve urban communities that are currently facing increasing population and water demand. Water resources managers are often chastened by experiencing failures attributed to natural extreme droughts and floods. However, recent changes in water management systems have been responding to these uncertain conditions. Water managers have become thoughtful about the adverse effects of uncertain extreme events on the performance of water supply systems. Natural hydrologic variability and inherent uncertainties associated with the future climate variations make the simulation and management of water supplies a greater challenge. The hydrologic simulation process is one of the main components in integrated water resources management. Hydrologic simulations incorporate uncertain input values, model parameters, and a model structure. Therefore, stochastic streamflow simulation and prediction, and consideration of uncertainty propagation on performance of water supply systems (WSSs) are essential phases for efficient management of these systems. The proposed integrated framework in this study models a WSS by taking into account the dynamic nature of the system and utilizing a Markov chain Monte Carlo (MCMC) algorithm to capture the uncertainties associated with hydrologic simulation. Hydrologic responses from the results of a rainfall-runoff model for three watersheds of Karaj, Latyan, and Lar in Tehran, Iran, as the case study are used as inputs to the reservoirs. Results confirm that uncertainties associated with the hydrologic model’s parameters propagate through the simulation and lead to a wide variation in reservoir storage and WSS performance metrics such as vulnerability and reliability. For example, water storage simulation in the Karaj Reservoir can vary up to 70% compared with the observed values. This causes contradiction and conflict in the management of reservoirs and water systems and decision making. The results emphasize the importance of analyzing WSS performance under uncertain conditions to improve the simulation of natural processes and support water managers for a more efficient decision-making process.

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References

Aghakouchak, A., and Habib, E. (2010). “Application of a conceptual hydrologic model in teaching hydrologic processes.” Int. J. Eng. Educ., 26(4), 963–973.
Ahmad, S., and Prashar, D. (2010). “Evaluating municipal water conservation policies using a dynamic simulation model.” Water Resour. Manage., 24(13), 3371–3395.
Ahmad, S., and Simonovic, S. P. (2000). “System dynamics modeling of reservoir operations for flood management.” J. Comput. Civ. Eng., 190–198.
Ajami, N. K., Duan, Q., and Sorooshian, S. (2007). “An integrated hydrologic Bayesian multi-model combination framework: Confronting input, parameter and model structural uncertainty in hydrologic prediction.” Water Resour. Res., 43(1), W01403.
Ajami, N. K., Hornberger, G. M., and Sunding, D. L. (2008). “Sustainable water resource management under hydrological uncertainty.” Water Resour. Res., 44(11), W11406.
Anderson, J. L., and Anderson, S. L. (1999). “A Monte Carlo implementation of the nonlinear filtering problem to produce ensemble assimilations and forecasts.” Mon. Weather Rev., 127(12), 2741–2758.
Bergström, S. (1990). “Parameter values for the HBV model in Sweden.”, Swedish Meteorological and Hydrological Institute (SMHI), Norrköping, Sweden (in Swedish).
Bergström, S. (1995). “The HBV model.” Computer models of watershed hydrology, Water Resources Publications, Littleton, CO, 443–476.
Bergström, S., Harlin, J., and Lindström, G. (1992). “Spillway design floods in Sweden. I: New guidelines.” Hydrol. Sci. J., 37(5), 505–519.
Beven, K., and Binley, A. (1992). “The future of distributed models: Model calibration and uncertainty prediction.” Hydrol. Process., 6(3), 279–298.
Butts, M. B., Payne, J. T., Kristensen, M., and Madsen, H. (2004). “An evaluation of the impact of model structure on hydrological modelling uncertainty for streamflow simulation.” J. Hydrol., 298(1), 222–241.
Forrester, J. W. (1961). Industry dynamics, MIT Press, Cambridge, MA.
Fowler, H. J., Kilsby, C. G., and O’Connell, P. E. (2003). “Modeling the impacts of climatic change and variability on the reliability, resilience, and vulnerability of a water resource system.” Water Resour. Res., 39(8), 1222.
Georgakakos, K. P., Seo, D. J., Gupta, H., Schake, J., and Butts, M. B. (2004). “Characterizing streamflow simulation uncertainty through multimodel ensembles.” J. Hydrol., 298(1–4), 222–241.
Goharian, E. (2012). “Development of a dynamics algorithm for assessment of urban water supply system readiness.” M.Sc. thesis, Univ. of Tehran, Tehran, Iran (in Farsi).
Goharian, E. (2016). “A framework for water supply system performance assessment to support integrated water resources management and decision making process.” Ph.D. dissertation, Univ. of Utah, ProQuest Dissertations Publishing, Ann Arbor, MI, 127.
Goharian, E., Burian, S., Bardsley, T., and Strong, C. (2015). “Incorporating potential severity into vulnerability assessment of water supply systems under climate change conditions.” J. Water Resour. Plann. Manage., 04015051.
Goharian, E., Burian, S. J., Lillywhite, J., and Hile, R. (2016). “Vulnerability assessment to support integrated water resources management of metropolitan water supply systems.” J. Water Resour. Plann. Manage., 04016080.
Harlin, J., and Kung, C. S. (1992). “Parameter uncertainty and simulation of design floods in Sweden.” J. Hydrol., 137(1–4), 209–230.
Hashimoto, T., Stedinger, J. R., and Loucks, D. P. (1982). “Reliability, resiliency, and vulnerability criteria for water resource system performance evaluation.” Water Resour. Res., 18(1), 14–20.
Hastings, W. K. (1970). “Monte Carlo sampling methods using Markov chains and their applications.” Biometrika, 57(1), 97–109.
Iliadis, L., Spartalis, S., and Tachos, S. (2007). “An innovative artificial neural network evaluation model: Application in industry.” Proc., 10th EANN Conf., Thessaloniki, Greece, 320–327.
Iran Ministry of Energy. (2009). “Report on critical aquifers.” Tehran, Iran (in Farsi).
Iran Ministry of Energy. (2013). “Design criteria for urban water distribution systems.” Tehran, Iran (in Farsi).
Iran Water Resources Management Organization. (2018). “Iran Water Resources Management Organization database.” ⟨http://www.wrm.ir⟩ (Jan. 2012).
Karamouz, M., Goharian, E., and Nazif, S. (2012). “Development of a reliability based dynamics model of urban water supply system: A case study.” Proc., World Environmental and Water Resources Congress, ASCE, Reston, VA, 2067–2078.
Karamouz, M., Goharian, E., and Nazif, S. (2013). “Reliability assessment of the water supply systems under uncertain future extreme climate conditions.” Earth Interact, 17(20), 1–27.
Karamouz, M., Zahraie, B., Torabi, S., and Shahsavarie, M. (1999). “Integrated water resources planning and management for Tehran metropolitan area in Iran.” Proc., 29th Annual Water Resources Planning and Management Conf., WRPMD’99: Preparing for the 21st Century, E. M. Wilson, ed., ASCE, Reston, VA.
Kitanidis, P. K., and Bras, R. L. (1980). “Real-time forecasting with a conceptual hydrologic model. 2: Applications and results.” Water Resour. Res., 16(6), 1034–1044.
Kuczera, G., and Parent, E. (1998). “Monte Carlo assessment of parameter uncertainty in conceptual catchment models: The Metropolis algorithm.” J. Hydrol., 211(1–4), 69–85.
Langsdale, S., Beall, A., Carmichael, J., Cohen, S., Forster, C., and Neale, T. (2009). “Exploring the implications of climate change on water resources through participatory modeling: Case study of the Okanagan Basin, British Columbia.” J. Water Resour. Plann. Manage., 373–381.
Li, L., Xu, H., Chen, X., and Simonovic, S. (2010). “Streamflow forecast and reservoir operation performance assessment under climate change.” Water Resour. Manage., 24(1), 83–104.
Madani, K., and Mariño, M. A. (2009). “System dynamics analysis for managing Iran’s Zayandeh-Rud river basin.” Water Resour. Manage., 23(11), 2163–2187.
Marton, D., Starý, M., and Menšík, P. (2011). “The influence of uncertainties in the calculation of mean monthly discharges on reservoir storage.” J. Hydrol. Hydromech., 59(4), 228–237.
MATLAB [Computer software]. MathWorks, Natick, MA.
Milly, P. C. D., et al. (2008). “Stationarity is dead: Whither water management?” Science, 319(5863), 573–574.
Mirchi, A., Madani, K., Watkins, D., and Ahmad, S. (2012). “Synthesis of system dynamics tools for holistic conceptualization of water resources problems.” Water Resour. Manage., 26(9), 2421–2442.
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), W05012.
Muleta, M. K., McMillan, J., Amenu, G. G., and Burian, S. J. (2013). “Bayesian approach for uncertainty analysis of an urban storm water model and its application to a heavily urbanized watershed.” J. Hydrol. Eng., 1360–1371.
Papadopoulos, C. E., and Yeung, H. (2001). “Uncertainty estimation and Monte Carlo simulation method.” Flow Meas. Instrum., 12(4), 291–298.
Sehlke, G., and Jacobson, J. (2005). “System dynamics modeling of transboundary systems: The Bear River Basin model.” Ground Water, 43(5), 722–730.
Simonovic, S. P., and Fahmy, H. (1999). “A new modeling approach for water resources policy analysis.” Water Resour. Res, 35(1), 295–304.
Statistical Centre of Iran. (2015). “Iran statistical yearbook 1392.” ⟨http://www.amar.org.ir⟩ (Jan. 20, 2018).
Stave, K. A. (2003). “A system dynamics model to facilitate public understanding of water management options in Las Vegas, Nevada.” Environ. Manage., 67(4), 303–313.
STELLA [Computer software]. isee systems, Lebanon, NH.
Stewart, S., et al. (2004). “A decision support system for demand management in the Rio Conchos Basin, México.” Proc., Hydrology: Science and Practice for the 21st Century, British Hydrological Society II, British Hydrological Society, London, 483.
Tehran Province Water & Wastewater Co. (2017). “Tehran’s water supply system.” ⟨http://www.tpww.ir/en/home⟩ (Jan. 20, 2018).
Vrugt, J. A., Gupta, H. V., Bouten, W., and Sorooshian, S. (2003). “A shuffled complex evolution Metropolis algorithm for optimization and uncertainty assessment of hydrologic model parameters.” Water Resour. Res., 39(8), 1201.
Vrugt, J. A., Ter Braak, C. F. F., Gupta, H. V., and Robinson, B. A. (2008). “Equifinality of formal (DREAM) and informal (GLUE) Bayesian approaches in hydrologic modeling.” Stochastic Environ. Res. Risk Assess., 23(7), 1011–1026.
Winz, I., Brierley, G., and Trowsdale, S. (2009). “The use of system dynamics simulation in water resources management.” Water Resour. Manage., 23(7), 1301–1323.
Xu, Z. X, Takeuchi, K., Ishidaira, H., and Qhang, X. W. (2002). “Sustainability analysis for Yellow River water resources using the system dynamics approach.” Water Resour. Manage., 16(3), 239–261.
Zahmatkesh, Z., Karamouz, M., and Nazif, S. (2015). “Uncertainty based modeling of rainfall-runoff: Combined differential evolution adaptive Metropolis (DREAM) and K-means clustering.” Adv. Water Resour., 83, 405–420.

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Go to Journal of Hydrologic Engineering
Journal of Hydrologic Engineering
Volume 23Issue 5May 2018

History

Received: Nov 2, 2016
Accepted: Nov 1, 2017
Published online: Mar 10, 2018
Published in print: May 1, 2018
Discussion open until: Aug 10, 2018

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Authors

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Erfan Goharian, Ph.D., A.M.ASCE [email protected]
Postdoctoral Researcher, Dept. of Land, Air, and Water Resources, Univ. of California, Davis, CA, 95616 (corresponding author). E-mail: [email protected]
Zahra Zahmatkesh, Ph.D. [email protected]
Postdoctoral Researcher, Dept. of Civil Engineering, McMaster Univ., Hamilton, ON, Canada R3T 5V6. E-mail: [email protected]
Samuel Sandoval-Solis, Ph.D., M.ASCE [email protected]
Associate Professor, Dept. of Land, Air, and Water Resources, Univ. of California, Davis, CA, 95616. E-mail: [email protected]

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