On the use of the simple scaling of heavy rainfall in a regional estimation of IDF curves in Slovakia

ACAR R., CELIK S., SENOCAK S., 2008: Rainfall intensity-duration-frequency model using an artifical neural network approach. Journal of Scientific and Industrial Research, 67, 198-202.Search in Google Scholar

BARA M., 2008: Analýza intenzít krátkodobých dažďov na Slovensku. (Analysis of short-time rainfall intensities in Slovakia.) (In Slovak.) [Written project of the PhD. thesis.] Department of Land and Water Resources Management, Faculty of Civil Engineering, Slovak University of Technology, Bratislava, 52 pp.Search in Google Scholar

BARA M., GAÁL L., KOHNOVÁ S., SZOLGAY J., HLAVČOVÁ K., 2008: Simple scaling of extreme rainfall in Slovakia: a case study. Meteorological Journal, 11, 4, 153-157.Search in Google Scholar

BENDJOUDI H., HUBERT P., SCHERTZER D., LOVEJOY S., 1997: Multifractal point of view on rainfall intensity-duration-frequency curves. C. R. Acad. Sci. Paris, Earth and Planetary Sciences, 325, 323-326.10.1016/S1251-8050(97)81379-1Search in Google Scholar

BERNARD M. M., 1932: Formulas for rainfall intensities of long durations. Trans. ASCE, 96, 592-624.10.1061/TACEAT.0004323Search in Google Scholar

BURLANDO P., ROSSO R., 1996: Scaling and multiscaling models of depth-duration-frequency curves for storm precipitation. Journal of Hydrology, 187, 45-65.10.1016/S0022-1694(96)03086-7Search in Google Scholar

CEBULAK E., FAŠKO P., LAPIN M., ŠŤASTNÝ P., 2000: Extreme precipitation events in the Western Carpathians. In: Images of Weather and Climate. Prace Geograficzne, fasc. 108. Institute of Geography of the Jagellonian University, Cracow, 117-124.Search in Google Scholar

DE MICHELE C., KOTTEGODA N. T., ROSSO R., 2002: IDAF (intensity-duration-area-frequency) curves of extreme storm rainfall: a scaling approach. Water Science and Technology, 25, 2, 83-90.10.2166/wst.2002.0031Search in Google Scholar

DUB O., 1950: Hydrologické podklady pre výpočet kanalizačných sietí. (Hydrological inputs for sewage system design.) (In Slovak.) Voda, 5-6.Search in Google Scholar

FAŠKO P., 2006: Slovak Hydrometeorological Institute. March, 2006. Personal communication pavol.fasko@shmu.skSearch in Google Scholar

FEH, 1999: Flood Estimation Handbook, Volume 2: Rainfall frequency estimation. Institute of Hydrology.Search in Google Scholar

GAÁL L., 2005: Introduction of Lapin's indices into the cluster analysis of maximum k-day precipitation totals in Slovakia. Meteorological Journal, 8, 2, 85-94.Search in Google Scholar

GAÁL L., 2006: Metódy výpočtu štatistických charakteristík návrhových hodnôt krátkodobých až viacdenných úhrnov zrážok. (Estimation methods of statistical properties of short-term to several-day design precipitation in Slovakia.) (In Slovak.) [PhD. thesis.] Faculty of Mathematics, Physics and Informatics, Comenius University in Bratislava,. 228 pp.Search in Google Scholar

GUPTA V. K., WAYMIRE E., 1990: Multiscaling properties of spatial and river flow distributions. Journal of Geophysical Research, 95, D3, 1999-2009.10.1029/JD095iD03p01999Search in Google Scholar

HOSKING J. R. M., WALLIS J. R., 1997: Regional frequency analysis: an approach based on L-moments. Cambridge University Press, Cambridge, 224 pp.10.1017/CBO9780511529443Search in Google Scholar

HUBERT P., BENDJOUDI H., SCHERTZER D., LOVEJOY S., 2002: Multifractal taming of extreme hydrometerological events. In: The Extremes of the Extremes (Proceedings of Reykjavik Symposium, July 2000). IAHS Publication, No. 271, 51-56.Search in Google Scholar

JAVELLE P., GRÉSILLON J. M., GALEA G., 1999: Discharge-duration-frequency curve modeling for floods and scale invariance. C. R. Acad. Sci. Paris, Earth and Planetary Sciences, 329, 39-44.10.1016/S1251-8050(99)80225-0Search in Google Scholar

KOUTSOYIANNIS D., FOUFOULA-GEORGIU E., 1993: A scaling model of a storm hyetograph. Water Resources Research, 29, 7, 2345-2361.10.1029/93WR00395Search in Google Scholar

KOUTSOYIANNIS D., KOZONIS D., MANETAS A., 1998: A mathematical framework for studying rainfall intensity-duration-frequency relationships. Journal of Hydrology, 206, 118-135.10.1016/S0022-1694(98)00097-3Search in Google Scholar

LANGBEIN W. B., 1949: Annual maximum series and the partial-duration series. Transactions, Amer. Geophys. Union, 30, 6, 879-881.10.1029/TR030i006p00879Search in Google Scholar

LAPIN M., MELO M., 2004: Methods of climate change scenarios projection in Slovakia and selected results. Journal of Hydrology and Hydromechanics, 52, 4, 224-238.Search in Google Scholar

LAPIN M., MELO M., 2005: Priestorová interpretácia výstupov klimatických scenárov v povodí Hrona a Váhu geoštatistickými metódami. (Spatial interpretation of climate scenario outputs in catchments of the Hron and Váh Rivers by means of geostatistical methods.) (In Slovak.) In Pekárová P. et al. (eds.), 2005: Scenáre zmien vybraných zložiek hydrosféry a biosféry v povodí Hrona a Váhu v dôsledku klimatickej zmeny. (Scenarios of selected components of the hydrosphere and biosphere in catchments of the Hron and Váh Rivers due to climatic change.) VEDA, Bratislava, 49-80.Search in Google Scholar

LOVEJOY S., SCHERTZER D., 1985: Generalized scale invariance and fractal models of rain. Water Resources Research, 21, 8, 1233-1250.10.1029/WR021i008p01233Search in Google Scholar

MARANI M., 2005: Non-power-law-scale properties of rainfall in space and time. Water Resources Research, 41, W08413, doi:10.1029/2004WR003822.10.1029/2004WR003822Search in Google Scholar

MARIEN J. L., VANDEWIELE G. L., 1986: A point rainfall generator with internal storm structure. Water Resources Research, 22, 4, 5231-5238.10.1029/WR022i004p00475Search in Google Scholar

MENABDE M., SEED A., PEGRAM G., 1999: A simple scaling model for extreme rainfall. Water Resources Research, 35, 1, 335-339.10.1029/1998WR900012Search in Google Scholar

MINH NHAT L., TACHIKAWA Y., SAYAMA T., TAKARA K., 2007: Regional rainfall intensity-duration-frequency relationships for ungauged catchments based on scaling properties. Annuals of Disas. Prev. Res. Inst., Kyoto Univ., No 50B.Search in Google Scholar

MOLNAR P., BURLANDO P., 2008: Variability in the scale properties of high-resolution precipitation data in the Alpane climate of Switzerland. Water Resources Research, 44, W10404, doi:10.1029/2007WR006142.10.1029/2007WR006142Search in Google Scholar

PEKÁROVÁ P., ONDERKA M., PEKÁR J., MIKLÁNEK P., HALMOVÁ D., ŠKODA P., BAČOVÁ MITKOVÁ V., 2008: Hydrologic scenarios for the Danube River at Bratislava. ISBN 978-80-87071-51-9, Ostrava, KEY Publishing, 152 p.Search in Google Scholar

PEKÁROVÁ P., 2009: Flood regime of rivers in the Danube River basin. J. Hydrol. Hydromech., 57, 2, 142-143.Search in Google Scholar

RODRIGUEZ-ITURBE I., GUPTA V. K., WAYMIRE E. C., 1984: Scale considerations in the modeling of temporal rainfall. Water Resources Research, 20, 11, 1611-1619.10.1029/WR020i011p01611Search in Google Scholar

ROSSO R., BURLANDO P., 1990: Scale invariance in temporal and spatial rainfall. In: Proceedings of the 15th General Assembly of the European Geophysical Society, 23-27 April, 1990, Copenhagen. Annales Geophysicae, 145 (abstract).Search in Google Scholar

ŠAMAJ F., VALOVIČ Š., 1973: Intenzity krátkodobých dažďov na Slovensku. (Short-term rainfall intensities in Slovakia.) (In Slovak.) Proceedings of the Slovak Hydrometeorological Institute, Vol. 5, SPN Bratislava.Search in Google Scholar

SIVAPALAN M., WOOD E. F., 1987: A multidimensional model of nonstationarity space-time rainfall at the catchment scale. Water Resources Research, 23, 7, 1289-1299.10.1029/WR023i007p01289Search in Google Scholar

SMITH J. A., 1992: Representation of basin scale in flood peak distributions. Water Resources Research, 28, 11, 2993-2999.10.1029/92WR01718Search in Google Scholar

SZOLGAY J., KOHNOVÁ S., HLAVČOVÁ K., MINÁRIK M., 2007: K používaniu Langbeinovho vzorca pre dobu opakovania v hodnotení povodňového rizika. (To the use of the Langbein formula by the assessment of flood risk.) (In Slovak.) In Čejp J., Julíne T., Říha J. (eds.): Rizika ve vodním hospodářství. Brno, ECON, 494-499.Search in Google Scholar

URCIKÁN P., IMRIŠKA L., 1986: Stokovanie a čistenie odpadových vôd. Tabuľky na výpočet stôk. (Sewage and wastewater treatment. Tables for sewage system design.) (In Slovak.) ALFA-SNTL Bratislava.Search in Google Scholar

VENEZIANO D., FURCOLO P., 2002: Multifractality of rainfall and scaling of intensity-duration-frequency curves. Water Resources Research, 38, 12, 1306, doi: 10.1029/2001WR000372.10.1029/2001WR000372Search in Google Scholar

VENEZIANO D., BRAS R. L., NIEMANN J. D., 1996: Nonlinearity and self-similarity of rainfall in time and a stochastic model. Journal of Geophysical Research, 101, D21, 26,371-26,392.10.1029/96JD01658Search in Google Scholar

VENEZIANO D., LEPORE CH., LANGOUSIS A., FURCOLO P., 2007: Marginal methods of IDF estimation in scaling and non-scaling rainfall. Water Resources Research., 43, 10, W10418.10.1029/2007WR006040Search in Google Scholar

WAYMIRE E. C., GUPTA V. K., 1981: The mathematical structure of rainfall representation. 1. A review of stochastic rainfall models, 2. A review of the point processes theory, 3. Some applications of the point process theory to rainfall processes. Water Resources Research, 17, 5, 1261-1294.10.1029/WR017i005p01287Search in Google Scholar

WAYMIRE E. C., GUPTA V. K., RODRIGUEZ-ITURBE I., 1984: A spectral theory of rainfall intensity at the meso-β scale. Water Resources Research, 20, 10, 1453-1465.10.1029/WR020i010p01453Search in Google Scholar

WILLEMS P., 2000: Compound intensity/duration/frequency-relationships of extreme precipitation for two seasons and two storm types. Journal of Hydrology, 233, 1-4, 189-205.10.1016/S0022-1694(00)00233-XSearch in Google Scholar

YU P.-S., YANG T.-C., LIN C.-S., 2004: Regional rainfall intensity formulas based on scaling property of rainfall. Journal of Hydrology, 295, 1-4, 108-123.10.1016/j.jhydrol.2004.03.003Search in Google Scholar