Contribution

Seasonal Cycle in German Daily Precipitation Extremes

Fischer, Madlen; Rust, Henning W.; Ulbrich, Uwe

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Meteorologische Zeitschrift Vol. 27 No. 1 (2018), p. 3 - 13

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publié: Jan 29, 2018
publication en ligne: Dec 1, 2017
manuscrit accepté: Jul 13, 2017
revision du manuscrit reçu: May 4, 2017
révision du manuscrit demandée: Mar 6, 2017
manuscrit reçu: Dec 8, 2016

DOI: 10.1127/metz/2017/0845

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Abstract

The seasonal cycle of extreme precipitation in Germany is investigated by fitting statistical models to monthly maxima of daily precipitation sums for 2,865 rain gauges. The basis is a non-stationary generalized extreme value (GEV) distribution variation of location and scale parameters. The negative log-likelihood serves as the forecast error for a cross validation to select adequate orders of the harmonic functions for each station. For nearly all gauges considered, the seasonal model is more appropriate to estimate return levels on a monthly scale than a stationary GEV used for individual months. The 100-year return-levels show the influence of cyclones in the western, and convective events in the eastern part of Germany. In addition to resolving the seasonality, we use a simulation study to show that annual return levels can be estimated more precisely from a monthly-resolved seasonal model than from a stationary model based on annual maxima.

Mots-clefs

Extreme value theory • Generalized Extreme Value (GEV) distribution • seasonal variations • extreme precipitation • rain gauge data • climate