eesti teaduste
akadeemia kirjastus
SINCE 1952
Earth Science cover
Estonian Journal of Earth Sciences
ISSN 1736-7557 (Electronic)
ISSN 1736-4728 (Print)
Impact Factor (2022): 1.1
Modelling precipitation extremes in the Czech Republic: update of intensity–duration–frequency curves; pp. 234–247
PDF | 10.3176/earth.2016.15

Michal Fusek, Radek Hellebrand, Jaroslav Michálek

Precipitation records from six stations of the Czech Hydrometeorological Institute were subject to statistical analysis with the objectives of updating the intensity–duration–frequency (IDF) curves, by applying extreme value distributions, and comparing the updated curves against those produced by an empirical procedure in 1958. Another objective was to investigate differences between both sets of curves, which could be explained by such factors as different measuring instruments, measuring stations altitudes and data analysis methods. It has been shown that the differences between the two sets of IDF curves are significantly influenced by the chosen method of data analysis.



Ahammed, F. & Hewa, G. A. 2012. Development of hydro­logical tools using extreme rainfall events for Dhaka, Bangladesh. Water International, 37, 43–52.

Alber, R., Jaagus, J. & Oja, P. 2015. Diurnal cycle of pre­cipitation in Estonia. Estonian Journal of Earth Sciences, 64, 305–313.

Alexander, G. N., Karoly, A. & Susts, A. B. 1969. Equivalent distributions with applications to rainfall as an upper bound to flood distributions. Journal of Hydrology, 9, 322–344.

Ashkar, F., Bobee, B., Rasmussen, P. & Rosbjerg, D. 1994. A perspective on the annual maximum flood approach to flood frequency analysis. In Stochastic and Statistical Methods in Hydrology and Environmental Engineering, Extreme Values: Floods and Droughts, Vol. 1 (Hipel, K. W., ed.), pp. 3–14. Kluwer, Dordrecht, NL.

Ben-Zvi, A. 1994. Fit of probability distributions to upper sub-samples of partial duration series. In Stochastic and Statistical Methods in Hydrology and Environmental Engineering, Extreme Values: Floods and Droughts, Vol. 1 (Hipel, K. W., ed.), pp. 95–107. Kluwer, Dord­recht, NL.

Ben-Zvi, A. 2009. Rainfall intensity–duration–frequency relation­ships derived from large partial duration series. Journal of Hydrology, 367, 104–114.

Buishand, T. A. 1989. The partial duration series method with a fixed number of peaks. Journal of Hydrology, 109, 1–9.

Butler, D. & Davies, J. 2004. Urban Drainage. 2nd edition, Spon Press, London, 568 pp.

Choulakian, V. & Stephens, M. A. 2001. Goodness-of-fit tests for the generalized Pareto distribution. Technometrics, 43, 478–484.

Chow, V. T., Maidment, D. R. & Mays, L. W. 1988. Applied Hydrology. McGraw-Hill, New York, 572 pp.

Čížek, P. 1961. Hydrologie stokových sítí [Urban Drainage Hydrology]. SNTL, Prague, 136 pp. [in Czech].

Coles, S. 2004. An Introduction to Statistical Modeling of Extreme Values. Springer-Verlag, London, Berlin, Heidelberg 209 pp.

Cunnane, C. 1973. A particular comparison of annual maxima and partial duration series methods of flood frequency predictions. Journal of Hydrology, 18, 257–271.

Daňhelka, J. & Kubát, J. 2009. Přívalové povodně na území České republiky v červnu a červenci 2009 [Flash Floods in the Czech Republic in June and July 2009], Ministry of Environment of the Czech Republic, Prague, 72 pp. [in Czech].

De Haan, L. & Ferreira, A. 2006. Extreme Value Theory. Springer, New York, XVIII, 418 pp.

Harremoës P. & Mikkelsen, P. S. 1995. Properties of extreme point rainfall I: results from a rain gauge system in Denmark. Atmospheric Research, 37, 277–286.

Holešovský, J., Fusek, M. & Michálek, J. 2014. Extreme value estimation for correlated observations. In MENDEL 2014, 20th International Conference on Soft Computing (Matousek, R., ed.), pp. 359–364. Brno, Czech Republic.

Hosking, J. R. M. & Wallis, J. R. 1987. Parameter and quantile estimation for the generalized Pareto distribution. Techno­metrics, 29, 339–349.

Kotz, S. & Nadarajah, S. 2005. Extreme Value Distributions. Imperial College Press, London, 196 pp.

Lang, M., Ouarda, T. B. M. J. & Bobée, B. 1999. Towards operational guidelines for over-threshold modeling. Journal of Hydrology, 225, 103–117.

Langousis, A. & Veneziano, D. 2007. Intensity–duration–frequency curves from scaling representations of rainfall. Water Resources Research, 43, W02422.

Madsen, H., Pearson, C. P. & Rosbjerg, D. 1997a. Comparison of annual maximum series and partial duration series methods for modeling extreme hydrologic events, 2. Regional modeling. Water Resources Research, 33, 759–769.

Madsen, H., Rasmussen, P. F. & Rosbjerg, D. 1997b. Comparison of annual maximum series and partial duration series methods for modeling extreme hydrologic events. 1. At site modeling. Water Resources Research, 33, 747–757.

Madsen, H., Mikkelsen, P. S., Rosbjerg, D. & Harremoës, P. 2002. Regional estimation of rainfall intensity–duration–frequency curves using generalized least squares regressions of partial duration series. Water Resources Research, 38, 21-1–21-11.

Madsen, H., Arnbjerg-Nielsen, K. & Mikkelsen, P. S. 2009. Update of regional intensity–duration–frequency curves in Denmark: tendency towards increased storm intensities. Atmospheric Research, 92, 343–349.

McCuen, R., Johnson, P. & Hromadka, T. 1993. Regionalized partial-duration balanced-hydrograph model. Journal of Irrigation and Drainage Engineering, 119, 1036–1051.

Mirhosseini, G., Srivastava, P. & Stefanova, L. 2013. The impact of climate change on rainfall Intensity–Duration–Frequency (IDF) curves in Alabama. Regional Environ­mental Change, 13, 25–33.

Rosbjerg, D., Madsen, H. & Rasmussen, P. F. 1992. Prediction in partial duration series with generalized Pareto distribution exceedances. Water Resources Research, 28, 3001–3010.

Smith, J. A. 1987. Estimating the upper tail of flood frequency distributions. Water Resources Research, 23, 1657–1666.

Takeuchi, K. 1984. Annual maximum series and partial duration series – Evaluation of Langbein’s formula and Chow’s discussion. Journal of Hydrology, 68, 275–284.

Todorovic, P. 1978. Stochastic models of floods. Water Resources Research, 14, 345–356.

Trupl, J. 1958. Intensity krátkodobých dešťů v povodích Labe, Odry a Moravy [Intensities of short time rainfalls in the catchments of the Elbe, Odra and Morava]. Water Research Institute, Prague, 76 pp. + maps [in Czech].

Van Montfort, M. A. J. & Witter, J. V. 1986. The generalized Pareto distribution applied to rainfall depths. Hydrological Science Journal, 31, 151–162.

Watt, E. & Marsalek, J. 2013. Critical review of the evolution of the design storm event concept. Canadian Journal of Civil Engineering, 40, 105–113.

Willems, P. 2000. Compound intensity/duration/frequency-relation­ships of extreme precipitation for two seasons and two storm types. Journal of Hydrology, 233, 189–205.

Yevjevich, V. 1972. Probability and Statistics in Hydrology. Water Resources Publications, Fort Collins, CO, 302 pp.


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