Developing an Empirical Relations between Nash Model Parameters and Watersheds Topographical Characteristics for Predicting Direct Runoff Hydrograph
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The limited availability of the recorded rainfall-runoff data for many watersheds restricts the development and management of different activities of water resources. To overcome this limitation, the Natural Resources Conservation Service (NRCS) for estimating storm excess rainfall and momentum and optimization methods were combined in a mathematical model to estimate the optimal parameters of Nash Instantaneous unit hydrograph (IUH) and resulting direct runoff hydrograph (DRH), using a developed computer program in MATLAB. The available recorded data of 14 storms (out of 18) of four watersheds in northern Iraq have been applied in the calibration stage. An empirical relationship was developed between the average of each IUH optimal parameter (obtained by optimization as an optimal method according to the applied tests) and the effective watershed topographical characteristics. The developed empirical relations were used in the verification stage to estimate the IUH parameters and DRH for the verification storms and compare with that resulted from Haan’s empirical relations and optimization method. The statistical tests showed that the developed empirical relations efficiency was better than that of Haan’s method and close to that of the recorded storm by optimization method, where the average value of the Nash-Sutcliffe Efficiency for the four watersheds resulted from applying the optimization method, Haan’s method and the developed empirical relations were 0.925, 0.587, 0.883 respectively. The results indicated the developed model’s ability to estimate the IUH and direct runoff hydrograph for ungauged watersheds in northern Iraq.
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Sahoo B, Chatterjee C, Raghuwanshi NS, Singh R, Kumar R. Flood Estimation by GIUH-Based Clark and Nash Models. Journal of Hydrologic Engineering 2006;11(6):515-525. DOI: https://doi.org/10.1061/(ASCE)1084-0699(2006)11:6(515)
Beven KJ. Rainfall-runoff modelling: the primer: John Wiley & Sons; 2011. DOI: https://doi.org/10.1002/9781119951001
Nash J. The Form of the Instantaneous Unit Hydrograph. International Association of Hydrological Sciences General Assembly, Toronto 1957; 3:114-121.
Babaali H, Sabzevari T, Ghafari S. Development of the Nash Instantaneous Unit Hydrograph to Predict Subsurface Flow in Catchments. Acta Geophysica 2021; 69(5): 1877-1886. DOI: https://doi.org/10.1007/s11600-021-00638-x
Yao C, et al. Evaluating Performance Dependency of a Geomorphologic Instantaneous Unit Hydrograph-Based Hydrological Model on DEM Resolution. Water Science and Engineering 2022; 15(3):179-188. DOI: https://doi.org/10.1016/j.wse.2022.04.002
Metselaar K. The NRCS Curve Number Equation Derived from an Instantaneous Unit Hydrograph: Some Consequences. Journal of Hydrology X 2023; 19:100151. DOI: https://doi.org/10.1016/j.hydroa.2023.100151
Jeong M, Kim D-H. Instantaneous Physical Rainfall–Runoff Prediction Technique using a Power–Law Relationship Between Time to Peak and Peak Flow of an Instantaneous unit Hydrograph and the Rainfall Excess Intensity. Journal of Hydroinformatics 2023;25(2):415-431. DOI: https://doi.org/10.2166/hydro.2023.128
Sulistyowati A, Jayadi R, Rahardjo AP. Unit Hydrograph Modeling using Geomorphological Instantaneous Unit Hydrograph (GIUH) Method. Journal of the Civil Engineering Forum 2018;4(3). DOI: https://doi.org/10.22146/jcef.38860
Khanmohammadi N, Behmanesh J. Comparison of Different Methods Efficiency for Estimation of Nash Instantaneous Unit Hydrograph Parameters in Flood Simulation (Case Study: Aland-Chay, Gara-Chay, Mahabad-Chay and Zab Rivers). Irrigation Sciences and Engineering 2020;43(1):15-28.
Agrawal A, Shrivastava R. Development of Synthetic UH by Using Geomorphologic Instantaneous Unit Hydrograph (GIUH) Based Nash Model. Recent Trends in Civil Engineering: Springer; 2021. pp. 987-1000. DOI: https://doi.org/10.1007/978-981-15-5195-6_72
Xiang X, Ao T, Li X. Application of a Fractional Instantaneous Unit Hydrograph in the TOPMODEL: A Case Study in Chengcun Basin, China. Applied Sciences 2023;13(4):2245. DOI: https://doi.org/10.3390/app13042245
Sikorska AE, Scheidegger A, Banasik K, Rieckermann J. Bayesian Uncertainty Assessment of Flood Predictions in Ungauged Urban Basins for Conceptual Rainfall-Runoff Models. Hydrology and Earth System Sciences 2012;16(4):1221-1236. DOI: https://doi.org/10.5194/hess-16-1221-2012
De Vleeschouwer N. Interactive Comment on “Assessment of the Indirect Calibration of a Rainfall-runoff model for ungauged catchments in Flanders” by N. De Vleeschouwer and VRN Pauwels. SCIENCES 2005;9:157-171.
Seibert J, Beven KJ. Gauging the Ungauged Basin: How Many Discharge Measurements are Needed? Hydrology and Earth System Sciences 2009;13(6):883-892. DOI: https://doi.org/10.5194/hess-13-883-2009
McIntyre N, Lee H, Wheater H, Young A, Wagener T. Ensemble Predictions of Runoff in Ungauged Catchments. Water Resources Research 2005;41(12):1-14. DOI: https://doi.org/10.1029/2005WR004289
USDA S. Urban hydrology for small watersheds. Technical release 1986;55:2-6.
USDA S. Hydrology, national engineering handbook, Section 4. US Department of Agriculture, Washington, DC, USA 1985.
Oudin L, Kay A, Andréassian V, Perrin C. Are Seemingly Physically Similar Catchments Truly Hydrologically Similar? Water Resources Research 2010;46(11). DOI: https://doi.org/10.1029/2009WR008887
Patil S, Stieglitz M. Hydrologic Similarity Among Catchments under Variable Flow Conditions. Hydrology and Earth System Sciences 2010;7:8607-8630. DOI: https://doi.org/10.5194/hessd-7-8607-2010
Madsen H, Wilson G, Ammentorp HC. Comparison of Different Automated Strategies for Calibration of Rainfall-Runoff Models. Journal of hydrology 2002;261(1-4):48-59. DOI: https://doi.org/10.1016/S0022-1694(01)00619-9
Bahremand A, Mostafazadeh R. Comparison of different methods for parameter estimation of nash’s instantaneous unit hydrograph in jafarAbad watershed. Watershed Management Researches Journal (Pajouhesh & Sazandegi) No 86 pp: 42-51, 2010.
Aron G, White EL. Fitting a Gamma Distribution Over a Synthetic Unit Hydrograph 1. JAWRA Journal of the American Water Resources Association 1982;18(1):95-98. DOI: https://doi.org/10.1111/j.1752-1688.1982.tb04533.x
Rosso R. Nash Model Relation to Horton Order Ratios. Water Resources Research 1984;20(7):914-920. DOI: https://doi.org/10.1029/WR020i007p00914
Singh P, Bhunya P, Mishra SK, Chaube U. An Extended Hybrid Model for Synthetic Unit Hydrograph Derivation. Journal of Hydrology 2007;336(3-4):347-360. DOI: https://doi.org/10.1016/j.jhydrol.2007.01.006
Haan CT, Barfield BJ, Hayes JC. Design hydrology and sedimentology for small catchments: Elsevier; 1994.
Bhunya P, Mishra SK, Berndtsson R. Simplified Two-Parameter Gamma Distribution for Derivation of Synthetic Unit Hydrograph. Journal of Hydrologic Engineering 2003; 8(4):226-230. DOI: https://doi.org/10.1061/(ASCE)1084-0699(2003)8:4(226)
Jain MK, Mishra SK, Singh V. Evaluation of AMC-dependent SCS-CN-based Models Using Watershed Characteristics. Water Resources Management 2006;20(4):531-552. DOI: https://doi.org/10.1007/s11269-006-3086-1
Rahi KA, Abudi ZN. Rainwater Harvesting Techniques Applied to Some Iraqi Zones. Journal of Engineering and Development 2005; 9(2): 82-90.
Hasan IF, Saeed YN. Analysis of Rainfall Data for a Number of Stations in Northern Iraq. Al-Rafidain Engineering Journal (AREJ) 2020;25(2):105-117. DOI: https://doi.org/10.33899/rengj.2020.127531.1044
Ezz-Aldeen Mohammad M, Sameer Younus S. Effect of Different Sustainable Rainfall on the Peak Flow. Al-Rafidain Engineering Journal (AREJ) 2014;22(5):35-46. DOI: https://doi.org/10.33899/rengj.2014.101001
Rafeeq HR. Ground water recharge in Sinjar reigion Dams and Water Resources Researchs Center Mosul University,,Iraq, ; 1993: pp.
Khidir KM. Determination of a mathematical model for estimating surface runoff for some watershed northern Iraq. Ph. D. thesis, Univ. of Mosul,Engineering College, Mosul ,Iraq: 1999.
Mohammad ME. Study of Grid Size Effect for Digital Elevation Model on Runoff Hydrograph. Third International Conference on Water Resources and Arid Environments. 2008; Riyadh, Saudi Arabia; pp.
Al-Daghastani H. Land Use Map of Nienava Government Based on Satalite Image. Remote Sensing Center, Mosul University, Iraq 2008.
Barzinji KTM. Deterministic Optimization for Goizha-Dabashan watershed, Ph.D. Thesis ,Al Sulaymaniyah University . 2007.
Chow VT, Maidment, D. & L.J.N.Y. Mays. Applied Hydrology. McGraw-Hill Book Company; 1988.
Dervos N, Baltas E, Mimikou M. Rainfall-Runoff Simulation in an Experimental Basin using GIS Methods. Journal Of Environmental Hydrology, The Electronic Journal of the International Association for Environmental Hydrology 2006; 14.
Ajmal M, Kim T-W. Quantifying Excess Stormwater using SCS-CN–Based Rainfall Runoff Models and Different Curve Number Determination Methods. Journal of Irrigation and Drainage Engineering 2015; 141(3) :04014058. DOI: https://doi.org/10.1061/(ASCE)IR.1943-4774.0000805
Hawkins RH, Theurer FD, Rezaeianzadeh M. Understanding the Basis of the Curve Number Method for Watershed Models and TMDLs. Journal of Hydrologic Engineering 2019; 24(7) :06019003. DOI: https://doi.org/10.1061/(ASCE)HE.1943-5584.0001755
Pandit A, Heck HH. Estimations of Soil Conservation Service Curve Numbers for Concrete and Asphalt. Journal of Hydrologic Engineering 2009;14(4):335-345. DOI: https://doi.org/10.1061/(ASCE)1084-0699(2009)14:4(335)
Gehbrehiwot A, Kozlov D. GIUH-Nash based runoff prediction for Debarwa catchment in Eritrea. E3S Web of Conferences: EDP Sciences; 2019. pp. 05001. DOI: https://doi.org/10.1051/e3sconf/20199705001
Nemes G. New Asymptotic Expansion for the Gamma Function. Archiv der Mathematik 2010;95(2):161-169. DOI: https://doi.org/10.1007/s00013-010-0146-9
Jiang Y, Li X, Huang C. Automatic Calibration a Hydrological Model using a Master–Slave Swarms Shuffling Evolution Algorithm Based on Self-Adaptive Particle Swarm Optimization. Expert Systems with Applications 2013;40(2):752-757. DOI: https://doi.org/10.1016/j.eswa.2012.08.006
Rosenbrock H. An Automatic Method for Finding the Greatest or Least Value of a Function. The Computer Journal 1960; 3(3):175-184. DOI: https://doi.org/10.1093/comjnl/3.3.175
García-Romero L, et al. Optimization of the Multi-Start Strategy of a Direct-Search Algorithm for the Calibration of Rainfall–Runoff Models for Water-Resource Assessment. Water 2019;11(9):1876. DOI: https://doi.org/10.3390/w11091876
Kim J, et al. Case study: On Objective Functions for the Peak Flow Calibration and for the Representative Parameter Estimation of the Basin. Water 2018;10(5):614. DOI: https://doi.org/10.3390/w10050614
Fang X, Prakash K, Cleveland T, Thompson D, Pradhan P. Revisit of NRCS Unit Hydrograph Procedures. TEXAS SECTION SPRING 2005.
NRCS. Ponds: Planning, Design, Construction. In Agriculture Handbook No. 590; United States Department of Agriculture. 1997: pp.
Al-Ghobari H, Dewidar A, Alataway A. Estimation of Surface Water Runoff for a Semi-Arid Area Using RS and GIS-Based SCS-CN Method. Water 2020;12(7):1924. DOI: https://doi.org/10.3390/w12071924
Subramanya K. Engineering Hydrology: Tata McGraw-Hill Education; 2013.
J.E. Nash JS. River Flow Forecasting Through Conceptual Models: Part 1. — A Discussion of Principles,. J Hydrol 1970;10. DOI: https://doi.org/10.1016/0022-1694(70)90255-6
Ghebrehiwot AA, Kozlov DV. Hydrological modelling for ungauged basins of arid and semi-arid regions. Proceedings of Moscow State University of Civil Engineering/Vestnik MGSU 2019;14(7). DOI: https://doi.org/10.22227/1997-0935.2019.8.1023-1036
Mondal S, Jana S, Majumder M, Roy D. A Comparative Study for Prediction of Direct Runoff for a River Basin using Geomorphological Approach and Artificial Neural Networks. Applied Water Science 2012;2(1):1-13. DOI: https://doi.org/10.1007/s13201-011-0020-3