Articles | Volume 373
https://doi.org/10.5194/piahs-373-175-2016
https://doi.org/10.5194/piahs-373-175-2016
12 May 2016
 | 12 May 2016

An update on multivariate return periods in hydrology

Benedikt Gräler, Andrea Petroselli, Salvatore Grimaldi, Bernard De Baets, and Niko Verhoest

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Preprint under review for NHESS
Short summary
Multivariate return periods in hydrology: a critical and practical review focusing on synthetic design hydrograph estimation
B. Gräler, M. J. van den Berg, S. Vandenberghe, A. Petroselli, S. Grimaldi, B. De Baets, and N. E. C. Verhoest
Hydrol. Earth Syst. Sci., 17, 1281–1296, https://doi.org/10.5194/hess-17-1281-2013,https://doi.org/10.5194/hess-17-1281-2013, 2013

Cited articles

Gräler, B., van den Berg, M. J., Vandenberghe, S., Petroselli, A., Grimaldi, S., De Baets, B., and Verhoest, N. E. C.: Multivariate return periods in hydrology: a critical and practical review focusing on synthetic design hydrograph estimation, Hydrol. Earth Syst. Sci., 17, 1281–1296, https://doi.org/10.5194/hess-17-1281-2013, 2013.
Grimaldi, S., Petroselli, A., and Serinaldi, F.: A continuous simulation model for design-hydrograph estimation in small and ungauged watersheds, Hydrolog. Sci. J., 57, 1035–1051, https://doi.org/10.1080/02626667.2012.702214, 2012.
Nelsen, R. B.: An Introduction to Copulas, Springer Science+Buisness, New York, second edn., 272 pp., ISBN: 978-0-387-28659-4, 2006.
Requena, A. I., Mediero, L., and Garrote, L.: A bivariate return period based on copulas for hydrologic dam design: accounting for reservoir routing in risk estimation, Hydrol. Earth Syst. Sci., 17, 3023–3038, https://doi.org/10.5194/hess-17-3023-2013, 2013.
Salvadori, G., De Michele, C., and Durante, F.: On the return period and design in a multivariate framework, Hydrol. Earth Syst. Sci., 15, 3293–3305, https://doi.org/10.5194/hess-15-3293-2011, 2011.
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Short summary
Many hydrological studies are devoted to the identification of events that are expected to occur on average within a certain time span. While this topic is well established in the univariate case, recent advances focus on a multivariate characterization of events based on copulas. Following a previous study, we show how the definition of the survival Kendall return period fits into the set of multivariate return periods.