View More View Less
  • 1 Department of Land and Water Resources Management, Faculty of Civil Engineering, Slovak University of Technology, Radlinského 11, 810 05 Bratislava, Slovak Republic
Restricted access

Purchase article

USD  $25.00

Purchase this article

USD  $387.00

Abstract

Regional flood frequency analysis is considered to be an important and popular method for estimating different hydrological variables at ungauged sites. The estimation of the index flood is the essential problem when this method is applied. The objective of the study is a comparison of the estimation of the mean annual flood (or index flood) by using two approaches based on the ‘so-called’ index flood method and top-kriging. The concept behind these methods permits estimating the mean annual flood at ungauged locations using information taken from gauged sites located within the same homogeneous pooling groups. The study area comprises 104 gauging stations on the whole territory of Slovakia. The observation period of the annual maximum discharges of the selected stations was from 1961-2010. The identification of the homogeneous pooling group was performed using a non-hierarchical k-means clustering algorithm. The optimal number of clusters is determined by the Silhouette method. As a result, eight homogeneous pooling group clusters were identified. Finally, the results of the estimated mean annual floods using the index flood method and top-kriging were compared with the observed data. Top-kriging provided better results than the classical index flood method for estimating the mean annual flood at ungauged sites.

  • [1]

    Kelčík S., Pindjaková T., Šoltész A. Assessment and design of the flood protection measures in the district of Levice (Slovakia), Pollack Periodica , Vol. 11, No. 1, 2016, pp. 3541.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • [2]

    Loucks, D. P., Van Beek E., Stedinger J. R., Dijkman J. P., Villars M. T. Water resources systems planning and management: an introduction to methods, models and applications , Paris, UNESCO Publishing, 2005.

    • Search Google Scholar
    • Export Citation
  • [3]

    Sivapalan M. Prediction in ungauged basins: A grand challenge for theoretical hydrology, Hydrological Processes , Vol. 17, No. 15, 2003, pp. 31633170.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • [4]

    Hosking M. J. R., Wallis J. R. Regional frequency analysis: an approach based on L-moments, Cambridge University Press, 1997.

  • [5]

    Acreman C. M., Sinclair D. C. Classification of drainage basins according to their physical characteristics - an application of flood frequency analysis in Scotland, Journal of Hydrology , Vol. 84, No. 3, 1986, pp. 365380.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • [6]

    Zrinji Z., Burn H. D. Flood frequency analysis for ungauged sites using a region of influence approach, Journal of Hydrology, Vol. 153, No. 1-4, 1994, pp. 121.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • [7]

    Meigh J. R., Farquharson F. A. K., Sutcliffe J. V. A worldwide comparison of regional flood estimation methods and climate, Hydrological Science Journal, Vol. 42, No. 2, 1997, pp. 22252244.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • [8]

    Portela M. M., Dias A. T. Application of the index-flood method to the regionalization of flood peak discharges on the Portugal mainland, WIT Transactions on Ecology and the Environment, Vol. 83, 2005, pages 11.

    • Search Google Scholar
    • Export Citation
  • [9]

    Malekinezhad H., Zare-garizi A. Regional frequency analyses of daily rainfall extremes using L-moments approach, Atmósfera , Vol. 27, No. 4, 2014, pp. 411427.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • [10]

    Basu B., Srinivas V. V. Evaluation of the index-flood approach related regional frequency analysis procedures, Journal of Hydrologic Engineering, Vol. 21, No. 1, 2016. pages 112.

    • Search Google Scholar
    • Export Citation
  • [11]

    Bocchiola D., De Michele C., Rosso R. Review of recent advances in index flood estimation, Hydrology and Earth System Sciences , Vol. 7. No. 3, 2003, pp. 283296.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • [12]

    Forestieri A., Lo Conti F., Blenkisop S., Cannarozzo M., Fowler J. H., Noto V. L. Regional frequency analysis of extreme rainfall in Sicily (Italy), International Journal of Climatology , Vol. 38, No. 1, 2018, pp. 698716.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • [13]

    Hosking J. R. M., Wallis J. R. Some statistics useful in regional frequency analysis, Water Resources Research, Vol. 29. No. 2. 1993, pp. 271281.

  • [14]

    Kheirfam H., Vafakhah M. Assessment of some homogeneous methods for the regional analysis of suspended sediment yield in the south and southeast of the Caspian Sea, Journal of Earth System Science , Vol. 124, No. 6, 2015, pp. 12471263.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • [15]

    Nathan R. J., McMahon T. A. Identification of homogeneous regions for the purposes of regionalisation, Journal of Hydrology, Vol. 121, No. 1-4, 1990, pp. 217238.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • [16]

    Kyselý J., Picek J., Huth R. Formation of homogeneous regions for regional frequency analysis of extreme precipitation events in the Czech Republic, Studia Geophysica et Geodaetica, Vol. 51, No. 2, 2007, pp. 327344.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • [17]

    Kohnová S., Szolgay J. Regional estimation of index flood and standard deviation of a summer maximum flows in the Tatras, Journal of Hydrology and Hydromechanics, Vol. 51, No. 4, 2003, pp. 241255.

    • Search Google Scholar
    • Export Citation
  • [18]

    Kohnová S., Szolgay J., Hlavčová K. Regional flood frequency analysis of annual maximum floods from the winter season in Slovakia, Meteorological Journal, Vol. 11, No. 1-2, 2008, pp. 6570.

    • Search Google Scholar
    • Export Citation
  • [19]

    Kohnová S., Szolgay J., Solín Ľ., Hlavčová K. Regional methods for prediction in ungauged basins , Ostrava: KEY Publishing, 2006.

  • [20]

    Flood Estimation Handbook, Part 3. Statistical procedures for flood frequency estimation, IH Wallingford, 1999.

  • [21]

    DVWK Regeln 101/1999, Choice of design flood. Recommendation for calculating the flood probability, (in German) Verlag Paul Parey, Hamburg, 1999.

    • Search Google Scholar
    • Export Citation
  • [22]

    Australian Rainfall and Runoff , A guide to flood estimation, Institutions of Engineers Australia, Book VI, Vol. 1, 1998.

  • [23]

    Dalrymple T. Flood frequency methods, US Geological Survey, 1960.

  • [24]

    Skøien J. O., Merz R. Bloschl G. Top-kriging - geostatistics on stream networks, Hydrology and Earth System Sciences Discussions, European Geosciences Union, Vol. 10, No. 2, 2006, pp. 277287.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • [25]

    Nagy D., Aszalós L., Mihálydeák T. Finding the representative in a cluster using correlation clustering, Pollack Periodica, Vol. 14, No. 1, 2019, pp. 1524.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • [26]

    MacQueen J. Some methods for classification and analysis of multivariate observations, Proceedings of 5th Berkeley Symposium on Mathematical Statistics and Probability, Berkeley, USA, 18-21 July 1965, University of California Press, Vol. 1, 1967, pp. 281297.

    • Export Citation