Abstract
This study aims to estimate the probabilities of occurrence and return periods of peak flood discharges over the Markanda basin of Ghaggar river system in north western India. For this purpose, two most frequently employed probability distribution models, namely Gumbel Extreme Value (GEV) and Log-Pearson Type III (LP-III) have been used to estimate the future flood discharges by means of annual extreme flood series (Qmax) data from 1990 to 2013, available at eight gauge and discharge sites. Two goodness-of-fit tests, i.e., Kolmogorov-Smirnov and Anderson-Darling have been applied to the fitted probability distributions to identify the best-fit model. The Qmax for several return periods, for example 2, 5, 10, 25, 50, 100, and 200 years have been estimated and compared. The return period for the highest Qmax recorded at Jhansa (2670 m3/s) gauge and discharge site has been computed as 9.5 and 8.2 years using the GEV and LP-III distribution model, respectively. The analyses have shown that GEV distribution model has produced the overestimated results in comparison to LP-III distribution model. Also, flood index has been computed for flood regionalization. The flood index values have been found variable at different gauge and discharge sites with an increase in return periods. Finally, the finding of this study will be valuable for water resource engineers in designing the hydraulic structures for the management of recurrent floods.
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Abdul-Karim, M.D., Chowdhury, J.U. (1995) A comparison of four distributions used in flood frequency analysis in Bangladesh. Hydrol. Sci. Jour., v.40, pp.55–66.
Adane, G.B., Kassa, K.A., Tonl, A.T., Tekle, S.L. (2022) Spatial runoff estimation under different land uses and rainfall frequencies: case of flood-prone Dechatu river catchment, Dire Dawa, Ethiopia. Arabian Jour. Geosci., v.15, 1092.
Adhikari, P., Hong, Y., Douglas, K.R., Kirschbaum, D. B., Gourley, J., Adler, R., Brakenridge, G.R. (2010) A digitized global flood inventory (1998-2008): compilation and preliminary results. Natural Hazards, v.55, pp.405–422.
Ang, A.H.S., Tang, W. (2007) WH Probability Concepts in Engineering: Emphasis on Applications to Civil and Environmental Engineering, Technology & Engineering, Wiley, New York.
Bali, R., Agarwal, K.K., Nawaz, A.S., Srivastava, P. (2011) Is the recessional pattern of Himalayan glaciers suggestive of anthropogenically induced global warming? Arabian Jour. Geosci., v.4, pp.1087–1093.
Benameur, S., Benkhaled, A., Meraghni, D., Chebana, F., Necir, A. (2017) Complete flood frequency analysis in Abiod watershed, Biskra (Algeria). Natural Hazards, v.86, pp.519–534.
Bhat, C.M., Rao, G.S., Farooq, M., Manjushree, P., Shukla, A., Sharma, S.V.S.P. (2018) Satellite-based assessment of the catastrophic Jhelum floods of September 2014, Jammu & Kashmir, India. Geomatics, Natural Hazards and Risk, v.8, pp.309–327.
Bhat, M.S., Alam, A., Ahmad, B., Kotlia, B.S., Farooq, H., Taloor, A.K., Ahmad, S. (2019) Flood frequency analysis of river Jhelum in Kashmir basin. Quaternary Internat., v.507, pp.288–294.
Chow, V.T., Maidment, D.R., Mays, L.W. (1988) Applied Hydrology, McGraw Hill Book Company New York.
Delgado, J.M., Apel, H., Merz, B. (2010) Flood trends and variability in the Mekong River. Hydrol. Earth Syst. Sci., v.14, pp.407–418.
Dobhal, D.P., Gergan, J.T., Thayyen, R.J. (2004) Recession and morphogeometrical changes of Dokriani glacier (1962-1995), Garhwal Himalaya, India. Curr. Sci., v.86, pp.692–696.
Doocy, S., Daniels, A., Murray, S., Kirsch, T.D. (2013) The human impact of floods: a historical review of events 1980–2009 and systematic literature review. PLOS Current. Disasters. Edition 1.
Farooq, M., Shafique, M., Khattak, M.S. (2018) Flood frequency analysis of river swat using Log Pearson type 3, Generalized Extreme Value, Normal, and Gumbel Max distribution methods. Arabian Jour. Geosci., v.11, 216
Gumbel, E.J. (1958) Statistics of extreme values. New York: Columbia University Press.
Helsel, D.R., Hirsch, R.M. (2010) Statistical methods in water resources. USGS, Investigations Book 4, Chapter A3, pp. 97–113.
Hire, P.S., Patil, A.D. (2018) Flood frequency analysis of the Par River: Western India. Internat. Jour. Scienti. Res. Sci. Tech., v.5, pp.164–168.
Hosking, J.R.M., Wallis, J.R. (1997) Regional Frequency Analysis: an Approach Based on L-moments. Cambridge University Press, Cambridge.
Ingram, W. (2016) Extreme precipitation: increases all round. Nature Climate Change, v.6 (5), pp. 443–444.
Jain, V., Sinha, R. (2003) River systems in the Gangetic plains and their comparison with the Siwaliks: A review. Curr. Sci., v.84, pp.1025–1033.
Jha, A.K., Bloch, R., Lamond, J. (2012) Cities and flooding: a guide to integrated flood risk management for the 21st century and a summary for policy makers. Washington DC: The World Bank.
Kale, V.S. (2003) Fluvial Geomorphology of Indian Rivers: An Overview. Progress in Physical Geography, v.26, pp.400–433.
Kamal, V., Mukherjee, S., Singh, P., Sen, R., Vishwakarma, C.A., Sajadi, P., Asthana, H., Rena, V. (2017) Flood frequency analysis of Ganga River at Haridwar and Garhmukteshwar. Appl. Water Sci., v.7, pp.1979–1986.
Khadka, D., Babel, M.S., Shrestha, S., Tripathi, N.K. (2014) Climate change impact on glacier and snow melt and runoff in Tamakoshi basin in the Hindu Kush Himalayan (HKH) region. Jour. Hydrol., v.511, pp.49–60.
Khattak, M.S., Anwar, F., Saeed, T.U., Sharif, M., Sheraz, K., Ahmed, A. (2015) Floodplain Mapping Using HEC-RAS and ArcGIS: A Case Study of Kabul River. Arabian Jour. Sci. Eng., v.41, pp.1375–1390.
Kochel, R.C. (1988) Geomorphic impact of large floods: review and new perspectives on magnitude and frequency. In: Baker VR, Kochel RC, Patton PC (Eds.), Flood Geomorphology. Wiley, New York, pp.169–187.
Kulkarni, A.V., Bahuguna, I.M., Rathore, B.P., Singh, S.K., Randhawa, S.S., Sood, R.K., Dhar, S. (2007) Glacial retreat in Himalaya using Indian remote sensing satellite data. Curr. Sci., v.92, pp.69–74.
Kumar, R. (2019) Flood Frequency Analysis of the Rapti River Basin using Log Pearson Type-III and Gumbel Extreme Value-1 Methods. Jour. Geol. Soc. India, v.94, pp.480–484.
Kumar, R., Areendran, G., Rao, P. (2009) Witnessing change: glaciers in the Indian Himalayas. WWF-India & BIT, New Delhi.
Latt, Z.Z., Wittenberg, H. (2015) Hydrology and flood probability of the monsoon dominated Chindwin river in northern Myanmar. Jour. Water and Climate Change, v.6, pp.144–160.
Li, L., Liu, L., Guo, S., Xiang, L. (2015) Optimal design of seasonal flood limited water levels and its application for the Three Gorges Reservoir. Jour. Hydrol., v.527, pp.1045–1053.
Millington, N., Das, S., Simonovic, S.P. (2011) The comparison of GEV, Log-Pearson Type 3 and Gumbel distributions in the Upper Thames River watershed under global climate models. Water Resources Research Report Department of Civil and Environmental Engineering, University of Western Ontario, Canada.
Mukherjee, R., Bilas, R. (2019) Flood frequency analysis of Ramganga river basin in western Gangetic Plain, India. National Geograp. Jour. India, v.65, pp.286–289.
Murtaza, D., Roshnl, T., Himayoun, D. (2022) The investigation of runoff variations and the flood frequency estimates of the Jhelum river, India. Sustainable Water Resources Management, v.8, pp.60.
Nainwal, H.C., Negi, B.D.S., Chaudhary, M., Sajwan K.S., Gaurav, A. (2008) Temporal changes in rate of recession: Evidences from Satopanth and Bhagirath Kharak glaciers, Uttarakhand, using Total Station Survey. Curr. Sci., v.94, pp.653–660.
Nandargi, S.S., Shelar, A. (2018) Rainfall and flood studies of the Ganga river basin in India. Ann. Geograph. Stud., v.1, pp.34–50.
Pandey, H.K., Dwivedi, S., Kumar, K. (2018) Flood Frequency Analysis of Betwa River, Madhya Pradesh India. Jour. Geol. Soc. India, v.92, pp.286–290.
Patton, P.C., Baker, V.R. (1976) Morphometry and floods in small drainage basins subject to diverse hydrogeomorphic controls. Water Resour. Res., v.12, pp.941–952.
Pawar, U.V., Hire, P.S., Gunjal, R.P., Patil, A.D. (2020) Modeling of magnitude and frequency of floods on the Narmada River: India. Modeling Earth Syst. Environ., v.6, pp.2505–2516.
Pearson, K. (1916) On a brief proof of the fundamental formula for testing the goodness of fit of frequency distributions and on the probable error of ‘P’. Philosoph. Mag., v.31, pp.369–378.
Rao, A.R., Hamed, H.K. (2000) Flood Frequency Analysis. CRC Press, Boca Raton.
Rao, S.R., Dhakate, A.R., Saha, S.K., Mahapatra, S., Chaudhari, H.S., Pokhrel, S., Sahu, S.K. (2012) Why is Indian Ocean warming consistently. Climate Change, v.110, pp.709–719.
Ray, K., Pandey, P., Pandey, C., Dimri, A.P., Kishore, K. (2019) On the recent floods in India. Curr. Sci., v.117, pp.204–218.
Reddy, P.J.R. (2011) A Textbook of Hydrology. University Science Press, Bangalore.
Roxy, M.K., Ritika, K., Terray, P., Murtugudde, R., Ashok, K., Goswami, B.N. (2015) Drying of Indian subcontinent by rapid Indian Ocean warming and a weakening land-sea thermal gradient. Nature Commun., v.6, pp.1–10.
Sahoo, A., Ghose, D.K. (2021) Flood frequency analysis for menace gauging station of Mahanadi river, India. Jour. Instit. Engineers (India) Series A, v.102, pp.737–748.
Saini, S.S., Kaushik, S.P., Jangra, R. (2016) Flood risk assessment in urban environment by geospatial approach: a case study of Ambala city India. Appl. Geomat., v.8, pp.163–190.
Shaw, E.M. (1983) Hydrology in Practice. Van Nostrand Reinhold, UK.
Singh, N., Singhal, M., Chhikara, S., Karakoti, I., Chauhan, P., Dobhal, D.P. (2019) Radiation and energy balance dynamics over a rapidly receding glacier in the central Himalaya. Internat. Jour. Climatol., v.40, pp.400–420.
Singh, O., Kumar, D. (2019) Evaluating the influence of watershed characteristics on flood vulnerability of Markanda River basin in north west India. Natural Hazards, v.96, pp.247–268.
Singh, O., Kumar, M. (2013) Flood events, fatalities and damages in India from 1978 to 2006. Natural Hazards, v.69, pp.1815–1834.
Srivastava, D., Kumar, A., Verma, A., Swaroop, S. (2012) Characterization of suspended sediment in Meltwater from Glaciers of Garhwal Himalaya. Hydrol. Process., v.28, pp.969–979.
Tabari, H. (2020) Climate change impact on flood and extreme precipitation increases with water availability. Scientific Reports, v.10, pp.137–168.
Thayyen, R.J., Gergan, J.T., Dobhal, D.P. (2005) Monsoonal control on glacier discharge and hydrograph characteristics, a case study of Dokriani Glacier, Garhwal Himalaya, India. Jour. Hydrol., v.306, pp.37–49.
Umar, S., Lone, M.A., Goel, N.K. (2020) Modeling of peak discharges and frequency analysis of floods on the Jhelum River north-western Himalayas. Modeling Earth Syst. Environ., v.7, pp.1991–2003.
Wurbs, R.A., James, W.P. (2009) Water resources engineering. New Delhi, India: PHI Learning Private Ltd.
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Kumar, D., Pandwar, S., Saini, D. et al. Frequency Analysis of Flood Flow in Markanda Basin of Ghaggar River System in North Western India. J Geol Soc India 99, 1015–1024 (2023). https://doi.org/10.1007/s12594-023-2422-x
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DOI: https://doi.org/10.1007/s12594-023-2422-x