Flood Frequency Analysis of Narmada River Basin in India under Nonstationary Condition
Publication: Journal of Hydrologic Engineering
Volume 24, Issue 8
Abstract
The influence of recent climate variability coupled with the intensified human-induced changes has led hydrologists to modify the flood frequency analysis (FFA) considering nonstationary behavior of time series. Presently, a case study has been undertaken to demonstrate a methodology for FFA considering nonstationarity of annual maximum flood series of six gauging sites from Narmada River Basin. Two different approaches, namely time-varying nonstationarity and nonstationarity due to physical covariates, have been applied in the present case. The influence of climate indices and the effect of reservoir constructions on the Narmada River Basin have been included as external covariates. The results indicated that the construction of reservoirs has played a major role for the changing behavior of flood series of Narmada River Basin from stationary to nonstationary. Due to nonstationarity, the return level flood value increased substantially with time and may create problems for the old structures, which were designed using traditional FFA assumptions of stationarity. The present case study can be used as an alternative to the stationary FFA for any basins worldwide, which will provide more options to the designers and managers.
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Data Availability Statement
The data and models used during the study are available in online. Direct requests for these materials may be made to the provider as indicated in the “Acknowledgments.”
Acknowledgments
The authors are thankful to Dr. Chandranath Chatterjee (Professor, IIT Kharagpur), Dr. Brajesh Kumar, Dr. Asmita Murumkar, and Ms. Bratati Chowdhury for providing useful suggestions. The authors want to sincerely thank to the Central Water Commission for providing the flow data of Narmada River Basin.
References
Akaike, H. 1974. “A new look at the statistical model identification.” IEEE Trans. Autom. Control 19 (6): 716–723. https://doi.org/10.1109/TAC.1974.1100705.
Ashok, K., Z. Guan, and T. Yamagata. 2003. “A look at the relationship between the ENSO and the Indian ocean dipole.” J. Meteorol. Soc. Jpn. 81 (1): 41–56. https://doi.org/10.2151/jmsj.81.41.
Bai, L., Z. Chen, J. Xu, and W. Li. 2016. “Multi-scale response of runoff to climate fluctuation in the headwater region of the Kaidu river in Xinjiang of China.” Theor. Appl. Climatol. 125 (3–4): 703–712. https://doi.org/10.1007/s00704-015-1539-2.
Berkelhammer, M., A. Sinha, M. Mudelsee, H. Cheng, K. Yoshimura, and J. Biswas. 2013. “On the low frequency component of the ENSO-Indian monsoon relationship: A paired proxy perspective.” Clim. Past 9 (3): 3103–3123. https://doi.org/10.5194/cpd-9-3103-2013.
Delgado, J. M., H. Apel, and B. Merz. 2010. “Flood trends and variability in the Mekong river.” Hydrol. Earth Syst. Sci. 14 (3): 407–418. https://doi.org/10.5194/hess-14-407-2010.
El Adlouni, S., B. Bobée, and T. B. M. J. Ouarda. 2008. “On the tails of extreme event distributions in hydrology.” J. Hydrol. 355 (1–4): 16–33. https://doi.org/10.1016/j.jhydrol.2008.02.011.
Filliben, J. J. 1975. “The probability plot correlation coefficient test for normality.” Technometrics 17 (1): 111–117. https://doi.org/10.1080/00401706.1975.10489279.
GCOS (Global Climate Observing System). 2018. “Working group on surface pressure (WG-SP).” Accessed July 31, 2018. https://www.esrl.noaa.gov/psd/gcos_wgsp/Timeseries/Nino34/index.html.
Gerstengarbe, F. W., and P. C. Werner. 1991. “Some critical remarks on the use of extreme-value statistics in climatology.” Theor. Appl. Climatol. 44 (1): 1–8. https://doi.org/10.1007/BF00865546.
Gilroy, K. L., and R. H. McCuen. 2012. “A nonstationary flood frequency analysis method to adjust for future climate change and urbanization.” J. Hydrol. 414–415 (Jan): 40–48. https://doi.org/10.1016/j.jhydrol.2011.10.009.
Gosain, A. K., S. Rao, and D. Basuray. 2006. “Climate change impact assessment on hydrology of Indian river basins.” Curr. Sci. 90 (3): 346–353.
Gupta, P. K., S. Panigrahy, and J. S. Parihar. 2011. “Impact of climate change on runoff of the major river basins of India using global circulation model (HadCM3) projected data.” J. Indian Soc. Remote Sens. 39 (3): 337–344. https://doi.org/10.1007/s12524-011-0101-7.
Hegerl, G. C., F. W. Zwiers, P. Braconnot, N. P. Gillett, Y. Luo, J. A. MarengoOrsini, N. Nicholls, J. E. Penner, and P. A. Stott. 2007. “Understanding and attributing climate change.” In Climate change 2007: The physical science basis. Cambridge, UK: Cambridge University Press.
India-WRIS (Water Resources Information System). 2012. River basin atlas of India. Jodhpur, India: India-WRIS.
JAMSTEC (Japan Agency for Marine-Earth Science and Technology). 2012. “SINTEX-F.” Accessed May 2, 2019. https://www.jamstec.go.jp/frsgc/research/d1/iod/iod/dipole_mode_index.html.
Katz, R. W., M. B. Parlange, and P. Naveau. 2002. “Statistics of extremes in hydrology.” Adv. Water Resour. 25 (8–12): 1287–1304. https://doi.org/10.1016/S0309-1708(02)00056-8.
Khaliq, M. N., T. B. M. J. Ouarda, J. C. Ondo, P. Gachon, and B. Bobée. 2006. “Frequency analysis of a sequence of dependent and/or non-stationary hydro-meteorological observations: A review.” J. Hydrol. 329 (3–4): 534–552. https://doi.org/10.1016/j.jhydrol.2006.03.004.
Kulkarni, A., S. S. Sabade, and R. H. Kripalani. 2007. “Association between extreme monsoons and the dipole mode over the Indian subcontinent.” Meteorol. Atmos. Phys. 95 (3–4): 255–268. https://doi.org/10.1007/s00703-006-0204-9.
Leclerc, M., and T. B. M. J. Ouarda. 2007. “Non-stationary regional flood frequency analysis at ungauged sites.” J. Hydrol. 343 (3–4): 254–265. https://doi.org/10.1016/j.jhydrol.2007.06.021.
Lins, H. 2012. “A note on stationarity and nonstationarity.” In Proc., 14th Session of the Commission for Hydrology, 1–6. Geneva: World Meteorological Organization.
López, J., and F. Francés. 2013. “Non-stationary flood frequency analysis in continental Spanish rivers, using climate and reservoir indices as external covariates.” Hydrol. Earth Syst. Sci. 17 (8): 3189–3203. https://doi.org/10.5194/hess-17-3189-2013.
McNeil, A. J., and T. Saladin. 2000. “Developing scenarios for future extreme losses using the POT method.” In Extremes and integrated risk management, edited by P. Embrechts, 253–267. London: Risk Books.
Met Office. 2007. “Met Office Hadley Centre observations datasets.” Accessed March 6, 2007. https://www.metoffice.gov.uk/hadobs/hadcrut4/.
Milly, P. C. D., J. Betancourt, M. Falkenmark, R. M. Hirsch, Z. W. Kundzewicz, D. P. Lettenmaier, and R. J. Stouffer. 2008. “Stationarity is dead: Whither water management?” Science 319 (5863): 573–574. https://doi.org/10.1126/science.1151915.
Mondal, A., and P. P. Mujumdar. 2015. “Modeling non-stationarity in intensity, duration and frequency of extreme rainfall over India.” J. Hydrol. 521 (Feb): 217–231. https://doi.org/10.1016/j.jhydrol.2014.11.071.
Olsen, J. R., J. H. Lambert, and Y. Y. Haimes. 1998. “Risk of extreme events under nonstationary conditions.” Risk Anal. 18 (4): 497–510. https://doi.org/10.1111/j.1539-6924.1998.tb00364.x.
Ouarda, T. B. M. J., and S. El-Adlouni. 2011. “Bayesian nonstationary frequency analysis of hydrological variables.” J. Am. Water Resour. Assoc. 47 (3): 496–505. https://doi.org/10.1111/j.1752-1688.2011.00544.x.
Rigby, R. A., and D. M. Stasinopoulos. 2005. “Generalized additive models for location, scale and shape.” J. R. Stat. Soc. 54: 507–554. https://doi.org/10.1111/j.1467-9876.2005.00510.x.
Saji, N. H., B. N. Goswami, P. N. Vinayachandran, and T. Yamagata. 1999. “A dipole mode in the tropical Indian ocean.” Nature 401 (6751): 360–363. https://doi.org/10.1038/43854.
Salas, J. D., and J. Obeysekera. 2014. “Revisiting the concepts of return period and risk for nonstationary hydrologic extreme events.” J. Hydrol. Eng. 19 (3): 554–568. https://doi.org/10.1061/(ASCE)HE.1943-5584.0000820.
Simmons, A. J., K. M. Willett, P. D. Jones, P. W. Thorne, and D. P. Dee. 2010. “Low-frequency variations in surface atmospheric humidity, temperature, and precipitation: Inferences from reanalyses and monthly gridded observational data sets.” J. Geophys. Res. Atmos. 115 (1): 1–21. https://doi.org/10.1029/2009JD012442.
Strupczewski, W. G., V. P. Singh, and W. Feluch. 2001. “Non-stationary approach to at-site flood frequency modeling. I: Maximum likelihood estimation.” J. Hydrol. 248 (1–4): 123–142. https://doi.org/10.1016/S0022-1694(01)00397-3.
Surendran, S., S. Gadgil, P. A. Francis, and M. Rajeevan. 2015. “Prediction of Indian rainfall during the summer monsoon season on the basis of links with equatorial Pacific and Indian ocean climate indices.” Environ. Res. Lett. 10 (9): 094004. https://doi.org/10.1088/1748-9326/10/9/094004.
Trenberth, K. E., A. Dai, R. M. Rasmussen, and D. B. Parsons. 2003. “The changing character of precipitation.” Bull. Am. Meteorol. Soc. 84 (9): 1205–1218. https://doi.org/10.1175/BAMS-84-9-1205.
Villarini, G., J. A. Smith, F. Serinaldi, J. Bales, P. D. Bates, and W. F. Krajewski. 2009. “Flood frequency analysis for nonstationary annual peak records in an urban drainage basin.” Adv. Water Resour. 32 (8): 1255–1266. https://doi.org/10.1016/j.advwatres.2009.05.003.
Vogel, R. M., C. Yaindl, and M. Walter. 2011. “Nonstationarity: Flood magnification and recurrence reduction factors in the United States.” J. Am. Water Resour. Assoc. 47 (3): 464–474. https://doi.org/10.1111/j.1752-1688.2011.00541.x.
Westra, S., L. V. Alexander, and F. W. Zwiers. 2013. “Global increasing trends in annual maximum daily precipitation.” J. Clim. 26 (11): 3904–3918. https://doi.org/10.1175/JCLI-D-12-00502.1.
Yi, H., A. Bardossy, and J. Brommundt. 2006. “Non-stationarity flood frequency analysis southern Germany.” In Proc., 7th Int. Conf. on HydroScience and Engineering, 10–13. Philadelphia: Collage of Engineering, Drexel Univ.
Zhang, Q., X. Gu, V. P. Singh, M. Xiao, and X. Chen. 2015. “Evaluation of flood frequency under non-stationarity resulting from climate indices and reservoir indices in the East River basin, China.” J. Hydrol. 527 (Aug): 565–575. https://doi.org/10.1016/j.jhydrol.2015.05.029.
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©2019 American Society of Civil Engineers.
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Received: Sep 11, 2018
Accepted: Mar 7, 2019
Published online: Jun 3, 2019
Published in print: Aug 1, 2019
Discussion open until: Nov 3, 2019
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