Acta Univ. Agric. Silvic. Mendelianae Brun. 2019, 67(1), 275-286 | DOI: 10.11118/actaun201967010275

Determination of N-year Design Precipitation in the Czech Republic by Annual Maximum Series Method

Silvie Kozlovská1, Jakub Šácha2, František Toman1
1 Department of Applied and Landscape Ecology, Faculty of Agronomy, Mendel University in Brno, Zemědělská 1, 613 00 Brno, Czech Republic
2 Department of Statistics and Operation Analysis, Faculty of Business and Economics, Mendel University in Brno, Zemědělská 1, 613 00 Brno, Czech Republic

The sum of design precipitation of a selected repetition period, provided that it is evenly distributed over the river basin area, is a basic input for the calculation of the direct outflow volume by the curve number method. It is necessary to determine the design precipitation for each location using the statistical methods and the longest available data series on daily precipitation sums, or more specifically their annual maximums. This paper deals with the determination of design precipitation from data of eight stations of the Czech Hydrometeorological Institute for the period 1961-2013. From a series of annual maximum values of daily precipitation sums, N-year design precipitations were calculated using two methods (Gumbel and generalized extreme value distributions). The conformity of both models with empirical distribution of values was statistically tested to evaluate which of the models gave more accurate results. In these cases, it was more appropriate to use the generalized extreme value distribution. Finally, the newly calculated characteristics were compared with the design values used by Šamaj et al. (1985), where significant differences were found.

Keywords: Gumbel distribution, generalized extreme value distribution (GEV), curve number method (CN), direct outflow volume, design precipitation, annual maximum series (AMS), repeat time
Grants and funding:

This paper was supported by the Technology Agency of the Czech Republic [no. 2014TA04020886: "New technology solutions for protection against flooding from heavy rainfall."].

Received: February 13, 2018; Accepted: November 12, 2018; Published: February 28, 2019  Show citation

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Kozlovská, S., Šácha, J., & Toman, F. (2019). Determination of N-year Design Precipitation in the Czech Republic by Annual Maximum Series Method. Acta Universitatis Agriculturae et Silviculturae Mendelianae Brunensis67(1), 275-286. doi: 10.11118/actaun201967010275
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References

  1. BRÁZDIL, R. and KIRCHNER, K. 2007. Selected natural extremes and their impacts in Moravia and Silesia [in Czech: Vybrané přírodní extrémy a jejich dopady na Moravě a ve Slezsku]. Brno: Masaryk university.
  2. CASTILLO, E. 1988. Extreme value theory in engineering. Academic Press Series in Statistical Modeling and Decision Science. San Diego, CA: Academic Press.
  3. ÚNMZ. 2014. Hydrological data of surface waters [in Czech: Hydrologické údaje povrchových vod]. ČSN 75 1400. Praha: Úřad pro technickou normalizaci, metrologii a státní zkušebnictví.
  4. FUSEK, M. and HOLEŠOVSKÝ, J. 2014. EVDest; EVDest 1.0. [Software]. Brno: UMAT FEKT VUT. Available at: http://www.umat.feec.vutbr.cz/software/evdest.html
  5. FUSEK, M., HELLEBRAND, R. and MICHÁLEK, J. 2016. Modelling precipitation extremes in the Czech Republic. Update of intensity-duration - frequency curves. Estonian Journal of Earth Sciences, 65(4): 234-247. DOI: 10.3176/earth.2016.15 Go to original source...
  6. GAÁL, L., LAPIN, M. and FAŠKO, P. 2004. Maximum multi-day precipitation totals in Slovakia [in Slovak: Maximálne viacdenné úhrny zrážok na Slovensku]. In: ROŽNOVSKÝ, J. and LITSCHMANN, T. (Eds.). Extremes of weather and climate [in Czech: Extrémy počasí a podnebí]. ČHMÚ.
  7. HALÁSOVÁ, O., HANČAROVÁ, E. and VAŠKOVÁ, I. 2007. Time and space variability of selected climatological and hydrological elements in the Giant Mountains during the period 1961-2000 [in Czech: Časová a prostorová variabilita vybraných klimatologických a hydrologických prvků na území Krkonoš za období 1961-2000]. - In: ŠTURSA, J. and KNAPÍK, R. (Eds.). Geoecological problems of the Giant Mountains [in Czech: Geoekologické problémy Krkonoš]. Int. Sci. Conf. Proc., říjen 2006, Svoboda n. Úpou.
  8. HOLEŠOVSKÝ, J., FUSEK, M. and MICHÁLEK, J. 2015. Modelling of precipitation extremes using parametric and nonparametric methods with automated threshold selection. International Journal of Mathematics and Computers in Simulation, 9(1): 94-102.
  9. HOLEŠOVSKÝ, J., FUSEK, M., BLACHUT, V. and MICHÁLEK, J. 2016. Comparison of precipitation extremes estimation using parametric and nonparametric methods. Hydrological Sciences Journal - Journal Des Sciences Hydrologiques, 61(13): 2376-2386. DOI: 10.1080/02626667.2015.1111517 Go to original source...
  10. HOLEŠOVSKÝ, J. and FUSEK, M. 2016. Methods for extreme value analysis and their software implementation [in Czech: Metody analýzy extrémních hodnot a jejich softwarová implementace]. Informační bulletin České statistické společnosti, 27(3): 1-13.
  11. HOLÝ, M. et al. 1994. Erosion and environment [in Czech: Eroze a životní prostředí]. Prague: ČVUT.
  12. HOSTÝNEK, J., LEPKA, Z. and SOSNA, V. 1999. Processing of N-year annual and monthly maximums of daily precipitation totals in Western Bohemia [in Czech: Zpracování N-letých ročních a měsíčních maxim denních úhrnů srážek v západních Čechách]. Meteorological Bulletin, 52: 73-77.
  13. JANEČEK, M. et al. 2007. Protection of agricultural land from erosion. [in Czech: Ochrana zemědělské půdy před erozí]. Methodology. 1st Edition. Prague: VÚMOP.
  14. JANEČEK, M. et al. 2012. Protection of agricultural land from erosion [in Czech: Ochrana zemědělské půdy před erozí]. Methodology. Prague: Czech University of Life Scienses.
  15. JENKINSON, A. F. 1955. The frequency distribution of the annual maximum (or minimum) values of meteorological elements. Quarterly Journal of the Royal Meteorological Society, 81(348): 158 - 171. DOI: 10.1002/qj.49708134804 Go to original source...
  16. Kemel, M. 1996. Climatology, meteorology, hydrology [in Czech: Klimatologie, meteorologie, hydrologie]. Prague: CTU Publishing House.
  17. KOHNOVÁ, S., GAÁL, L., SZOLGAY, J. and HLAVČOVÁ, K. 2005. Analysis of the maximum precipitation totals in the upper Hron basin [in Slovak: Analýza maximálnych úhrnov zrážok v povodí horného Hrona]. Bratislava: STU Publishing House.
  18. KULASOVÁ, B. et al. 1985. Processing of N-year precipitation totals [in Czech: Zpracování N-letých srážkových úhrnů]. Prague: CHMI.
  19. KYSELÝ, J. 2005. Estimation of parameters of extreme values distribution by the L-moment method [in Czech: Odhad parametrů rozdělení extrémních hodnot metodou L momentů]. Meteorological Bulletin, 58(6): 161-167.
  20. KYSELÝ, J. and PICEK, J. 2007. Regional growth curves and improved design value estimates of extreme precipitation events in the Czech Republic. Climate Research, 33: 243-255. DOI: 10.3354/cr033243 Go to original source...
  21. MADSEN, H., RASMUSSEN, P. F. and ROSBJERG, D. 1997. Comparison of Annual Maximum Series and Partialduration Series Methods for Modeling Extreme Hydrologic Events: 1. At-site Modeling. Water resources Research, 33(4): 747-746. DOI: 10.1029/96WR03848 Go to original source...
  22. PAPALEXIOU, S. M. and KOUTSOYIANNIS, D. 2013. Battle of extreme value distributions: A global survey on extreme daily rainfall. Water Resources Research, 49: 187-201. DOI: 10.1029/2012WR012557 Go to original source...
  23. SEVRUK, B. and GEIGER, H. 1981. Selection of Distribution Types for Extremes of Precipitation. Operational Hydrology Report No. 15 (WMO - No. 560), Geneva: World Meteorological Organization.
  24. ŠAMAJ, F., VALOVIČ, Š. and BRÁZDIL, R. 1983. Extreme daily totals of atmospheric precipitation in the CSSR [in Slovak: Extrémne denné úhrny atmosferických zrážok v ČSSR]. Meteorological Bulletin, 36(1): 14-21.
  25. ŠAMAJ, F., VALOVIČ, Š. and BRÁZDIL, R., 1985. Daily precipitation totals with extraordinary abundance in the CSSR in the period 1901-1980 [in Slovak: Denné úhrny zrážok s mimoriadnou výdatnosťou v ČSSR v období 1901-1980]. In: Zborník prác HMÚ 24. Alfa. Bratislava, pp. 9-113.
  26. ŠAMAJ, F., VALOVIČ, Š., BRÁZDIL, R. and GULČÍKOVÁ, V. 1982. Maximum daily totals of atmospheric precipitation in the CSSR [in Slovak: Maximálne denné úhrny atmosferických zrážok v ČSSR]. Meteorological Bulletin, 35(5): 129-135.
  27. ŠTĚPÁNEK, P. et al. 2010. ProClimDB - software for processing climatological datasets. [Software]. Brno: ČHMI. Available at: http://www.climahom.eu/ProcData.html
  28. USDA-SCS. 1985. National Engineering Handbook, Section 4 - Hydrology. Washington, D. C.: USDA-SCS.

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