Modeling Nonstationary Extreme Water Levels Considering Local Covariates in Ho Chi Minh City, Vietnam
Publication: Journal of Hydrologic Engineering
Volume 23, Issue 10
Abstract
Recently, human intervention and climate change have been proposed as the causes of changes in extreme water levels, which impact the likelihood of flooding, especially in coastal areas. In many studies, frequency analysis of extreme water levels has been conducted under nonstationary conditions, in which the parameters of a given distribution vary with time or several climatological variables. However, water levels possess unique characteristics in that they are strongly impacted by local influences, so the covariates used for nonstationary extreme water level modeling should be chosen with respect to the area of interest. For these reasons, it is important to consider local variables that have strong physical associations with flooding in the study of nonstationary extreme water levels. This study uses four local covariates, i.e., rainfall, sea level, urbanization growth, and outflows from upstream reservoirs to develop 92 nonstationary extreme water level models. The stationary models are also developed for comparison purposes. The results indicate that the nonstationary approach using local covariates is suitable for modeling extreme water levels in Ho Chi Minh City. Additionally, based on the best chosen statistical models, a significant influence of sea level and urbanization on nonstationarity in extreme water levels was found at all surveyed stations. Moreover, it was found that the extreme water levels derived from the stationary models were underestimated relative to the best nonstationary models for all stations, with the differences in magnitude reaching approximately 47%, 35%, 31%, and 25% at the Bienhoa, Nhabe, Phuan, and TDM stations, respectively.
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Acknowledgments
The authors are grateful to the National Hydro–Meteorological Service (NHMS) of Vietnam, Trian Hydropower Joint Stock Company, and Dautieng-Phuochoa Limited Company for providing data on long-term rainfall, water levels, sea level, and discharge released for the Trian and Dautieng reservoirs for this study.
References
ADB (Asian Development Bank). 2010. “Ho Chi Minh City adaptation to climate change: Summary report.” Asian Development Bank. Accessed December 19, 2016. https://www.adb.org/publications/ho-chi-minh-city-adaptation-climate-change-summary-report.
Adikari, Y., R. Osti, and T. Noro. 2010. “Flood-related disaster vulnerability: An impending crisis of megacities in Asia.” J. Flood Risk Manage. 3 (3): 185–191. https://doi.org/10.1111/j.1753-318X.2010.01068.x.
Agilan, V., and N. Umamahesh. 2016. “What are the best covariates for developing non-stationary rainfall intensity-duration-frequency relationship?” Adv. Water Resour. 101: 11–22. https://doi.org/10.1016/j.advwatres.2016.12.016.
Arns, A., T. Wahl, S. Dangendorf, and J. Jensen. 2015. “The impact of sea level rise on storm surge water levels in the northern part of the German Bight.” Coastal Eng. 96: 118–131. https://doi.org/10.1016/j.coastaleng.2014.12.002.
Arns, A., T. Wahl, I. Haigh, and J. Jensen. 2013a. “Determining extreme water return levels at un-gauged sites: A case study of the Schleswig-Holsteins coastline and Islands in north-west Germany”. In Proc., Coastal Dynamics Conf. 2013. Berlin: Springer.
Arns, A., T. Wahl, I. Haigh, J. Jensen, and C. Pattiaratchi. 2013b. “Estimating extreme water level probabilities: A comparison of the direct methods and recommendations for best practise.” Coastal Eng. 81: 51–66. https://doi.org/10.1016/j.coastaleng.2013.07.003.
Bezak, N., M. Brilly, and M. Šraj. 2014. “Comparison between the peaks-over-threshold method and the annual maximum method for flood frequency analysis.” Hydrol. Sci. J. 59 (5): 959–977. https://doi.org/10.1080/02626667.2013.831174.
Bulteau, T., D. Idier, J. Lambert, and M. Garcin. 2015. “How historical information can improve estimation and prediction of extreme coastal water levels: Application to the Xynthia event at La Rochelle (France).” Nat. Hazards Earth Syst. Sci. 15 (6): 1135–1147. https://doi.org/10.5194/nhess-15-1135-2015.
Burnham, K. P., and D. R. Anderson. 2004. “Multimodel inference understanding AIC and BIC in model selection.” Sociological Methods Res. 33 (2): 261–304. https://doi.org/10.1177/0049124104268644.
Chen, X., L. Zhang, C.-Y. Xu, J. Zhang, and C. Ye. 2013. “Hydrological design of nonstationary flood extremes and durations in Wujiang River, South China: Changing properties, causes, and impacts.” Math. Prob. Eng. 2013: 1–10. https://doi.org/10.1155/2013/527461.
Cheng, L., A. Aghakouchak, E. Gilleland, and R. W. Katz. 2014. “Non-stationary extreme value analysis in a changing climate.” Clim. Change 127 (2): 353–369. https://doi.org/10.1007/s10584-014-1254-5.
Coles, S. 2001. An introduction to statistical modeling of extreme values. London: Springer.
Congedo, L. 2016. “Semi-automatic classification plugin documentation.” Release 4: 29.
Cunderlik, J. M., and T. B. Ouarda. 2009. “Trends in the timing and magnitude of floods in Canada.” J. Hydrol. 375 (3–4): 471–480. https://doi.org/10.1016/j.jhydrol.2009.06.050.
Dasgupta, S., B. Laplante, S. Murray, and D. Wheeler. 2011. “Exposure of developing countries to sea-level rise and storm surges.” Clim. Change 106 (4): 567–579. https://doi.org/10.1007/s10584-010-9959-6.
Du, T., L. Xiong, C.-Y. Xu, C. J. Gippel, S. Guo, and P. Liu. 2015. “Return period and risk analysis of nonstationary low-flow series under climate change.” J. Hydrol. 527: 234–250. https://doi.org/10.1016/j.jhydrol.2015.04.041.
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: 40–48. https://doi.org/10.1016/j.jhydrol.2011.10.009.
Gravert, A., and T. Wiechmann. 2016. “Climate change adaptation governance in the Ho Chi Minh City region.” In Sustainable Ho Chi Minh City: Climate policies for emerging mega cities, edited by A. Katzschner, M. Waibel, D. Schwede, L. Katzschner, M. Schmidt, and H. Storch. Cham, Switzerland: Springer.
Hallegatte, S., C. Green, R. J. Nicholls, and J. Corfee-Morlot. 2013. “Future flood losses in major coastal cities.” Nat. Clim. Change 3 (9): 802–806. https://doi.org/10.1038/nclimate1979.
Hanson, S., R. Nicholls, N. Ranger, S. Hallegatte, J. Corfee-Morlot, C. Herweijer, and J. Chateau. 2011. “A global ranking of port cities with high exposure to climate extremes.” Clim. Change 104 (1): 89–111. https://doi.org/10.1007/s10584-010-9977-4.
Hurvich, C. M., and C.-L. Tsai. 1995. “Model selection for extended quasi-likelihood models in small samples.” Biometrics 51 (3): 1077–1084. https://doi.org/10.2307/2533006.
Ishak, E., A. Rahman, S. Westra, A. Sharma, and G. Kuczera. 2013. “Evaluating the non-stationarity of Australian annual maximum flood.” J. Hydrol. 494: 134–145. https://doi.org/10.1016/j.jhydrol.2013.04.021.
Jongman, B., P. J. Ward, and J. C. Aerts. 2012. “Global exposure to river and coastal flooding: Long term trends and changes.” Global Environ. Change 22 (4): 823–835. https://doi.org/10.1016/j.gloenvcha.2012.07.004.
Katz, R. W. 2013. “Statistical methods for nonstationary extremes”. In Extremes in a changing climate, edited by A. Agha, K. David Easterling, K. Hsu, S. Schubert, and S. Sorooshian. Dordrecht, Netherlands: Springer.
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.
Kendall, M. G. 1962. Rank correlation methods. 3rd ed. New York: Hafner Publishing.
Labaeye, A., J. Brugmann, N. Van Phuoc, B. Thanh, L. K. T. Thao, N. A. Tuan, H. Storch, and U. Schinkel. 2012. “Reality check: Ho Chi Minh City, Vietnam.” In Resilient cities 2, edited by K. Otto-Zimmermann. Dordrecht, Netherlands: Springer.
Lang, M., T. Ouarda, and B. Bobée. 1999. “Towards operational guidelines for over-threshold modeling.” J. Hydrol. 225 (3–4): 103–117. https://doi.org/10.1016/S0022-1694(99)00167-5.
Lasage, R., T. Veldkamp, H. De Moel, T. Van, H. Phi, P. Vellinga, and J. Aerts. 2014. “Assessment of the effectiveness of flood adaptation strategies for HCMC.” Nat. Hazards Earth Syst. Sci. 14 (6): 1441–1457. https://doi.org/10.5194/nhess-14-1441-2014.
Li, J., X. Liu, and F. Chen. 2015. “Evaluation of nonstationarity in annual maximum flood series and the associations with large-scale climate patterns and human activities.” Water Resour. Manage. 29 (5): 1653–1668. https://doi.org/10.1007/s11269-014-0900-z.
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.
Machado, M. J., B. Botero, J. López, F. Francés, A. Díez-Herrero, and G. Benito. 2015. “Flood frequency analysis of historical flood data under stationary and non-stationary modelling.” Hydrol. Earth Syst. Sci. 19 (6): 2561–2576. https://doi.org/10.5194/hess-19-2561-2015.
Mann, H. B. 1945. “Nonparametric tests against trend.” Econometrica 13 (3): 245–259. https://doi.org/10.2307/1907187.
Masina, M., and A. Lamberti. 2013. “A nonstationary analysis for the Northern Adriatic extreme sea levels.” J. Geophys. Res.: Oceans 118 (9): 3999–4016. https://doi.org/10.1002/jgrc.20313.
Méndez, F. J., M. Menéndez, A. Luceño, and I. J. Losada. 2007. “Analyzing monthly extreme sea levels with a time-dependent GEV model.” J. Atmos. Oceanic Technol. 24 (5): 894–911. https://doi.org/10.1175/JTECH2009.1.
Menéndez, M., and P. L. Woodworth. 2010. “Changes in extreme high water levels based on a quasi-global tide-gauge data set.” J. Geophys. Res.: Oceans 115 (C10): C10011. https://doi.org/10.1029/2009JC005997.
Minh, N. H., T. B. Minh, H. Iwata, N. Kajiwara, T. Kunisue, S. Takahashi, P. H. Viet, B. C. Tuyen, and S. Tanabe. 2007. “Persistent organic pollutants in sediments from Sai Gon-Dong Nai River Basin, Vietnam: Levels and temporal trends.” Arch. Environ. Contam. Toxicol. 52 (4): 458–465. https://doi.org/10.1007/s00244-006-0157-5.
Mudersbach, C., and J. Jensen. 2010. “Nonstationary extreme value analysis of annual maximum water levels for designing coastal structures on the German North Sea coastline.” J. Flood Risk Manage. 3 (1): 52–62. https://doi.org/10.1111/j.1753-318X.2009.01054.x.
Nicholls, R. J., S. Hanson, C. Herweijer, N. Patmore, S. Hallegatte, J. Corfee-Morlot, J. Château, and R. Muir-Wood. 2008. Ranking port cities with high exposure and vulnerability to climate extremes. Paris: Organisation for Economic Co-Operation and Development.
Obeysekera, J., and J. Park. 2012. “Scenario-based projection of extreme sea levels.” J. Coastal Res. 29 (1): 1–7. https://doi.org/10.2112/JCOASTRES-D-12-00127.1.
PMV (Prime Minister of Vietnam). 2011. Government regulations of tropical depressions, storms, flood alerts. Vietnam: Prime Minister of Vietnam Approval.
Pohlert, T. 2017. Non-parametric trend tests and change-point detection. Vienna, Austria: R Foundation.
QGIS. 2015. Quantum GIS geographic information system. San Francisco: GitHub, Inc.
Scarrott, C., and A. MacDonald. 2012. “A review of extreme value threshold estimation and uncertainty quantification.” REVSTAT-Stat. J. 10: 33–60.
Serafin, K. A., and P. Ruggiero. 2014. “Simulating extreme total water levels using a time-dependent, extreme value approach.” J. Geophys. Res.: Oceans 119 (9): 6305–6329. https://doi.org/10.1002/2014JC010093.
Shepherd, J. M., H. Pierce, and A. J. Negri. 2002. “Rainfall modification by major urban areas: Observations from spaceborne rain radar on the TRMM satellite.” J. Appl. Meteorol. 41 (7): 689–701. https://doi.org/10.1175/1520-0450(2002)041%3C0689:RMBMUA%3E2.0.CO;2.
Skjong, M., A. Naess, and O. E. B. Næss. 2013. “Statistics of extreme sea levels for locations along the Norwegian coast.” J. Coastal Res. 290 (5): 1029–1048. https://doi.org/10.2112/JCOASTRES-D-12-00208.1.
Šraj, M., A. Viglione, J. Parajka, and G. Blöschl. 2016. “The influence of non-stationarity in extreme hydrological events on flood frequency estimation.” J. Hydrol. Hydromech. 64 (4): 426–437.
Storch, H., and N. K. Downes. 2011. “A scenario-based approach to assess Ho Chi Minh City’s urban development strategies against the impact of climate change.” Cities 28 (6): 517–526. https://doi.org/10.1016/j.cities.2011.07.002.
Strupczewski, W., V. Singh, and W. Feluch. 2001. “Non-stationary approach to at-site flood frequency modelling I. Maximum likelihood estimation.” J. Hydrol. 248 (1–4): 123–142. https://doi.org/10.1016/S0022-1694(01)00397-3.
Sugahara, S., R. P. Da Rocha, and R. Silveira. 2009. “Non-stationary frequency analysis of extreme daily rainfall in Sao Paulo, Brazil.” Int. J. Climatol. 29 (9): 1339–1349. https://doi.org/10.1002/joc.1760.
UNFPA (United Nations Population Fund). 2007. State of world population 2007: Unleashing the potential of urban growth. New York: UNFPA.
Un-Habitat (United Nations Human Settlements Programme). 2011. Cities and climate change: Global report on human settlements 2011. London: Earthscan.
World Bank. 2010. “Climate risks and adaptation in Asian coastal megacities: A synthesis report.” Accessed December 20, 2016. http://documents.worldbank.org/curated/en/866821468339644916/Climate-risks-and-adaptation-in-Asian-coastal-megacities-a-synthesis-report.
Yan, L., L. Xiong, S. Guo, C.-Y. Xu, J. Xia, and T. Du. 2017. “Comparison of four nonstationary hydrologic design methods for changing environment.” J. Hydrol. 551: 132–150. https://doi.org/10.1016/j.jhydrol.2017.06.001.
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: 565–575. https://doi.org/10.1016/j.jhydrol.2015.05.029.
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Journal of Hydrologic Engineering
Volume 23 • Issue 10 • October 2018
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©2018 American Society of Civil Engineers.
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Received: Oct 22, 2017
Accepted: May 1, 2018
Published online: Jul 31, 2018
Published in print: Oct 1, 2018
Discussion open until: Dec 31, 2018
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