Regional Flood Frequency Analysis using Dimensionless Index Flood Method
Hydrologic designs require accurate estimation of quartiles of extreme floods. But in many developing regions, records of flood data are seldom available. A model framework using the dimensionless index flood for the transfer of Flood Frequency Curve (FFC) among stream gauging sites in a hydrologically homogeneous region is proposed. Key elements of the model framework include: (1) confirmation of the homogeneity of the region; (2) estimation of index flood-basin area relation; (3) derivation of the regional flood frequency curve (RFFC) and deduction of FFC of an ungauged catchment as a product of index flood and dimensionless RFFC. As an application, 1983 to 2004 annual extreme flood from six selected gauging sites located in Anambra-Imo River basin of southeast Nigeria, were used to demonstrate that the developed index flood model: , overestimated flood quartiles in an ungauged site of the basin. It is recommended that, for wider application, the model results can be improved by the availability and use of over 100 years length of flood data spatially distributed at critical locations of the watershed.
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Tanaka, Tomohiro, Yasuto Tachikawa, Yutaka Ichikawa, and Kazuaki Yorozu. “Impact Assessment of Upstream Flooding on Extreme Flood Frequency Analysis by Incorporating a Flood-Inundation Model for Flood Risk Assessment.” Journal of Hydrology 554 (November 2017): 370–382. doi:10.1016/j.jhydrol.2017.09.012.
Robson, Alice, and Duncan Reed. “Flood Estimation Handbook: Statistical Procedures for Flood Frequency Estimation.” Centre for Ecology & Hydrology, Wallingford, (2008).
Ekeu-wei, Iguniwari Thomas. “Evaluation of Hydrological Data Collection Challenges and Flood Estimation Uncertainties in Nigeria.” Environment and Natural Resources Research 8, no. 2 (April 23, 2018): 44-54. doi:10.5539/enrr.v8n2p44.
Ekeu-wei, Iguniwari Thomas, and George Alan Blackburn. “Catchment-Scale Flood Modelling in Data-Sparse Regions Using Open-Access Geospatial Technology.” ISPRS International Journal of Geo-Information 9, no. 9 (August 25, 2020): 512. doi:10.3390/ijgi9090512.
Pawar, Uttam, and Pramodkumar Hire. “Flood Frequency Analysis of the Mahi Basin by Using Log Pearson Type III Probability Distribution.” Hydrospatial Analysis 2, no. 2 (April 7, 2019): 102–112. doi:10.21523/gcj3.18020203.
Kamal, Vikas, Saumitra Mukherjee, P. Singh, R. Sen, C. A. Vishwakarma, P. Sajadi, H. Asthana, and V. Rena. “Flood Frequency Analysis of Ganga River at Haridwar and Garhmukteshwar.” Applied Water Science 7, no. 4 (February 1, 2016): 1979–1986. doi:10.1007/s13201-016-0378-3.
Sahoo, Bibhuti Bhusan, Ramakar Jha, Anshuman Singh, and Deepak Kumar. “Bivariate Low Flow Return Period Analysis in the Mahanadi River Basin, India Using Copula.” International Journal of River Basin Management 18, no. 1 (February 19, 2019): 107–116. doi:10.1080/15715124.2019.1576698.
Bhat, M. Sultan, Akhtar Alam, Bashir Ahmad, Bahadur S. Kotlia, Hakim Farooq, Ajay K. Taloor, and Shabir Ahmad. “Flood Frequency Analysis of River Jhelum in Kashmir Basin.” Quaternary International 507 (February 2019): 288–294. doi:10.1016/j.quaint.2018.09.039.
Parhi, Prabeer Kumar. “Flood Management in Mahanadi Basin Using HEC-RAS and Gumbel’s Extreme Value Distribution.” Journal of The Institution of Engineers (India): Series A 99, no. 4 (June 21, 2018): 751–755. doi:10.1007/s40030-018-0317-4.
Samantaray, Sandeep, and Abinash Sahoo. “Estimation of Flood Frequency Using Statistical Method: Mahanadi River Basin, India.” H2Open Journal 3, no. 1 (January 1, 2020): 189–207. doi:10.2166/h2oj.2020.004.
Malekinezhad, H., H.P. Nachtnebel, and A. Klik. “Comparing the Index-Flood and Multiple-Regression Methods Using L-Moments.” Physics and Chemistry of the Earth, Parts A/B/C 36, no. 1–4 (January 2011): 54–60. doi:10.1016/j.pce.2010.07.013.
Nathan, R.J., and T.A. McMahon. “Identification of Homogeneous Regions for the Purposes of Regionalisation.” Journal of Hydrology 121, no. 1–4 (December 1990): 217–238. doi:10.1016/0022-1694(90)90233-n.
Haddad, Khaled, and Ataur Rahman. “Regional Flood Frequency Analysis in Eastern Australia: Bayesian GLS Regression-Based Methods Within Fixed Region and ROI Framework – Quantile Regression Vs. Parameter Regression Technique.” Journal of Hydrology 430–431 (April 2012): 142–161. doi:10.1016/j.jhydrol.2012.02.012.
Leclerc, Martin, and Taha B.M.J. Ouarda. “Non-Stationary Regional Flood Frequency Analysis at Ungauged Sites.” Journal of Hydrology 343, no. 3–4 (September 2007): 254–265. doi:10.1016/j.jhydrol.2007.06.021.
Dubey, A. “Regional Flood Frequency Analysis Utilizing L-moments: A Case Study of Narmada Basin.” Int. Journal of Engineering Research and Applications 4, 2 (2014):155-161.
Anambra-Imo River Basin Development Authority (AIRBDA) “Hydrological Year Book” (2010)
Ofomata, G.E.K. “Soil Erosion in Enugu Area of Nigeria.” Nigerian Geographical Journal 8 (2001): 45-49.
Sine, A. and Ayalew, S. “Identification and Delineation of Hydrological Homogeneous Regions-The case study of Blue Nile River Basin.” Proceedings, Lake Abaya Research Symposium (2004).
Acreman, M.C., and C.D. Sinclair. “Classification of Drainage Basins According to Their Physical Characteristics; an Application for Flood Frequency Analysis in Scotland.” Journal of Hydrology 84, no. 3–4 (May 1986): 365–380. doi:10.1016/0022-1694(86)90134-4.
Kachroo, R. K., S. H. Mkhandi, and B. P. Parida. “Flood Frequency Analysis of Southern Africa: I. Delineation of Homogeneous Regions.” Hydrological Sciences Journal 45, no. 3 (June 2000): 437–447. doi:10.1080/02626660009492340.
Lim, Yeo H., and Donovan L. Voeller. “Regional Flood Estimations in Red River Using L-Moment-Based Index-Flood and Bulletin 17B Procedures.” Journal of Hydrologic Engineering 14, no. 9 (September 2009): 1002–1016. doi:10.1061/(asce)he.1943-5584.0000102.
Kumar, Rakesh, and Chandranath Chatterjee. “Regional Flood Frequency Analysis Using L-Moments for North Brahmaputra Region of India.” Journal of Hydrologic Engineering 10, no. 1 (January 2005): 1–7. doi:10.1061/(asce)1084-0699(2005)10:1(1).
Lee, Do-Hun, and Nam Won Kim. “Regional Flood Frequency Analysis for a Poorly Gauged Basin Using the Simulated Flood Data and L-Moment Method.” Water 11, no. 8 (August 18, 2019): 1717. doi:10.3390/w11081717.
Stedinger, J.R., Vogel, R.M. and Foufoula-Georgiou, E. “Frequency analysis of extreme events.” In Handbook of Hydrology; Maidment, D.R., Ed.; McGraw-Hill Inc.: New York, NY, USA, (1993): 18.1-18.66.
Engeland, Kolbjørn, Donna Wilson, Péter Borsányi, Lars Roald, and Erik Holmqvist. “Use of Historical Data in Flood Frequency Analysis: a Case Study for Four Catchments in Norway.” Hydrology Research 49, no. 2 (November 20, 2017): 466–486. doi:10.2166/nh.2017.069.
Kim, Nam Won, Jeong Eun Lee, Jeongwoo Lee, and Yong Jung. “Regional Frequency Analysis Using Spatial Data Extension Method : I. An Empirical Investigation of Regional Flood Frequency Analysis.” Journal of Korea Water Resources Association 49, no. 5 (May 31, 2016): 439–450. doi:10.3741/jkwra.2016.49.5.439.
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