Journal
HYDROLOGICAL PROCESSES
Volume 29, Issue 2, Pages 225-238Publisher
WILEY
DOI: 10.1002/hyp.10145
Keywords
copula; flood frequency analysis; distributions; tail dependence; statistical and graphical tests
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Funding
- Slovenian national research project [J2-4096]
- Slovenian Research Agency (ARRS)
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As an alternative to the commonly used univariate flood frequency analysis, copula frequency analysis can be used. In this study, 58 flood events at the Litija gauging station on the Sava River in Slovenia were analysed, selected based on annual maximum discharge values. Corresponding hydrograph volumes and durations were considered. Different bivariate copulas from three families were applied and compared using different statistical, graphical and upper tail dependence tests. The parameters of the copulas were estimated using the method of moments with the inversion of Kendall's tau. The Gumbel-Hougaard copula was selected as the most appropriate for the pair of peak discharge and hydrograph volume (Q-V). The same copula was also selected for the pair hydrograph volume and duration (V-D), and the Student-t copula was selected for the pair of peak discharge and hydrograph duration (Q-D). The differences among most of the applied copulas were not significant. Different primary, secondary and conditional return periods were calculated and compared, and some relationships among them were obtained. Copyright (c) 2014 John Wiley & Sons, Ltd.
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