Estimation of design floods using univariate and multivariate flood frequency approach with regard to one wet year
- Authors: Nejc Bezak, Matjaž Mikoš
- Citation: Acta hydrotechnica, vol. 27, no. 47, pp. 103-117, 2014.
- Abstract: The determination of design discharges and flood waves volumes is an important aspect of river engineering. The univariate annual maximum (AM), peaks-over-threshold (POT) and multivariate copula methods were used in this hydrologic study to investigate the impact of one wet year on the estimation of flood-related design variables. The flood frequency analyses (FFA) were performed using daily and hourly discharge data from three torrential streams in Slovenia where several flash floods occurred in the last decade. The results of the study indicate that the use of daily discharge data is inappropriate in case of torrential streams because the loss on information when compared to hourly hydrologic data is significant. The consideration of one wet year in the data sample has influence on the relationship between design variable and return period; however this influence is generally smaller than influence of the selected method to perform the FFA.
- Keywords: flood frequency analyses, annual maximums, peaks-over-threshold, copulas, climate change
- Full text: a47nb.pdf
- References:
- ARSO. (2014). Record high temperatures and accumulated rainfall amounts in year 2014=Rekordno toplo in izjemno namočeno leto 2014. Ljubljana, Ministrstvo za okolje in prostor, Agencija Republike Slovenije za okolje. http://www.arso.gov.si/novice/datoteke/033050-leto-2014.pdf (Pridobljeno 10.1.2015).
- ARSO. (2015). Ljubljana, Ministrstvo za okolje in prostor, Agencija Republike Slovenije za okolje. http://vode.arso.gov.si/hidarhiv/pov_arhiv_tab.php (Pridobljeno 10.1.2015).
- Bezak, N., Brilly, M., Šraj, M., (2014). Comparison between the peaks-over-threshold method and the annual maximum method for flood frequency analysis, Hydrological Sciences Journal 59(5), 959–977.
- Bezak, N., Brilly, M., Šraj, M. (2015). Flood frequency analyses, statistical trends and seasonality analyses of discharge data: a case study of the Litija station on the Sava River, Journal of Flood Risk Management, doi: 10.1111/jfr3.12118.
- Burn, D.H. (1997). Catchment similarity for regional flood frequency analysis using seasonality measures, Journal of Hydrology, 202(1-4), 212–230.
- Cunnane, C. (1979). Note on the poisson assumption in partial duration series models, Water Resources Research 15(2), 489–494.
- Douglas, E.M., Vogel, R.M., Kroll, C.N. (2000). Trends in floods and low flows in the United States: impact of spatial correlation, Journal of Hydrology 240(1-2), 90–105.
- Hall, J., Arheimer, B., Borga, M., Brazdil, R., Claps, P., Kiss, A., Kjeldsen, T.R., Kriauciuniene, J., Kundzewicz, Z.W., Lang, M., Llasat, M.C., Macdonald, N., McIntyre, N., Mediero, L., Merz, B., Merz, R., Molnar, P., Montanari, A., Neuhold, C., Parajka, J., Perdigao, R.A.P., Plavcova, L., Rogger, M., Salinas, J.L., Sauquet, E., Schaer, C., Szolgay, J., Viglione, A., Bloeschl, G. (2014). Understanding flood regime changes in Europe: a state-of-the-art assessment, Hydrology and Earth System Sciences 18(7), 2735–2772.
- Hosking, J.R.M., Wallis, J.R. (1997). Regional frequency analysis: an approach based on L-moments. Cambridge University Press, Cambridge, 224 p.
- Joe, H. (1997). Multivariate models and dependence concepts. Chapman & Hall, London; New York.
- Kendall, M.G. (1975). Multivariate analysis. Griffin, London.
- Kobold, M. (2011). Comparison of Floods in September 2010 with Registered Historic Flood Events, Ujma 25, 48–56 (In Slovene).
- Koffler, D., Laaha, G. (2012). LFSTAT- an R-package for low-flow analysis. EGU General Assembly, Vienna 22–27.4. Available at: http://cran.r-project.org/web/packages/lfstat/index.html.
- Koler, B., Urbančič, T., Vidmar, A., Globevnik, L. (2012). Analysis of the flood in Ljubljana and on the Ljubljana Moor, Geodetski Vestnik 56(4), 846–860.
- Lang, M., Ouarda, T., Bobee, B. (1999). Towards operational guidelines for over-threshold modeling, Journal of Hydrology 225(3-4), 103–117.
- Maidment, D.R. (1993). Handbook of hydrology. McGraw-Hill, New York etc.
- Marchi, L. Borga, M., Preciso, E., Sangati, M., Gaume, E., Bain, V., Delrieu, G., Bonnifait, L., Pogačnik, N. (2009). Comprehensive post-event survey of a flash flood in Western Slovenia: observation strategy and lessons learned Hydrological Processes 23(26), 3761–3770.
- Meylan, P., Favre, A.C., Musy, A. (2012). Predictive Hydrology: A Frequency Analysis Approach. CRC Press, 212 p.
- Nelsen, R.B. (1999). An introduction to copulas. Springer, New York.
- Önöz, B., Bayazit, M. (2001). Effect of the occurrence process of the peaks over threshold on the flood estimates, Journal of Hydrology 244(1-2), 86–96.
- Reddy, M.J., Ganguli, P. (2012). Bivariate Flood Frequency Analysis of Upper Godavari River Flows Using Archimedean Copulas, Water Resources Management 26(14), 3995–4018.
- Robson, A.J., Reed, D.W. (1999). Statistical procedures for flood frequency estimation. Volume 3 of the Flood Estimation Handbook. Wallingford: Centre for Ecology & Hydrology.
- Rusjan, S., Kobold, M., Mikoš, M. (2009). Characteristics of the extreme rainfall event and consequent flash floods in W Slovenia in September 2007, Natural Hazards and Earth System Sciences 9(3), 947–956.
- Salinas, J.L., Castellarin, A., Viglione, A., Kohnova, S., Kjeldsen, T.R. (2014). Regional parent flood frequency distributions in Europe - Part 1: Is the GEV model suitable as a pan-European parent?, Hydrology and Earth System Sciences 18(11), 4381–4389.
- Salvadori, G., De Michele, C., Kottegoda, N.T., Rosso, R. (2007). Extremes in nature an approach using Copulas. Springer, Dordrecht.
- Šraj, M., Bezak, N., Brilly, M. (2015). Bivariate flood frequency analysis using the copula function: a case study of the Litija station on the Sava River, Hydrological Processes 29, 225–238.
- USWRC. (1982). Guidelines for determining flood flow frequency. U.S. Dept. of the Interior, Geological Survey, Office of Water Data Coordination, Reston.
- Vandenberghe, S., Verhoest, N.E.C., Onof, C., De Baets, B. (2011). A comparative copula-based bivariate frequency analysis of observed and simulated storm events: A case study on Bartlett-Lewis modeled rainfall, Water Resources Research 47, doi:10.1029/2009wr008388.
- Xu, Y.-P., Booij, M.J., Tong, Y.-B. (2010). Uncertainty analysis in statistical modeling of extreme hydrological events, Stochastic Environmental Research and Risk Assessment 24(5), 567–578.
- Zanon, F., Borga, M., Zoccatelli, D., Marchi, L., Gaume, E., Bonnifait, L., Delrieu, G. (2010). Hydrological analysis of a flash flood across a climatic and geologic gradient The September 18, 2007 event in Western Slovenia, Journal of Hydrology 394(1-2), 182–197.
- Zhang, L., Singh, V.P. (2006). Bivariate flood frequency analysis using the copula method, Journal of Hydrologic Engineering 11(2), 150–164.