Seasonal Cycle in German Daily Precipitation Extremes

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 negativ...

Full description

Bibliographic Details
Main Authors: Madlen Fischer, Henning W. Rust, Uwe Ulbrich
Format: Article
Language:English
Published: Borntraeger 2018-01-01
Series:Meteorologische Zeitschrift
Subjects:
Online Access:http://dx.doi.org/10.1127/metz/2017/0845
_version_ 1818329061370363904
author Madlen Fischer
Henning W. Rust
Uwe Ulbrich
author_facet Madlen Fischer
Henning W. Rust
Uwe Ulbrich
author_sort Madlen Fischer
collection DOAJ
description 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.
first_indexed 2024-12-13T12:42:04Z
format Article
id doaj.art-13246aba6d554a2a9bc1456f6687213f
institution Directory Open Access Journal
issn 0941-2948
language English
last_indexed 2024-12-13T12:42:04Z
publishDate 2018-01-01
publisher Borntraeger
record_format Article
series Meteorologische Zeitschrift
spelling doaj.art-13246aba6d554a2a9bc1456f6687213f2022-12-21T23:45:36ZengBorntraegerMeteorologische Zeitschrift0941-29482018-01-0127131310.1127/metz/2017/084588248Seasonal Cycle in German Daily Precipitation ExtremesMadlen FischerHenning W. RustUwe UlbrichThe 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.http://dx.doi.org/10.1127/metz/2017/0845Extreme value theoryGeneralized Extreme Value (GEV) distributionseasonal variationsextreme precipitationrain gauge dataclimate
spellingShingle Madlen Fischer
Henning W. Rust
Uwe Ulbrich
Seasonal Cycle in German Daily Precipitation Extremes
Meteorologische Zeitschrift
Extreme value theory
Generalized Extreme Value (GEV) distribution
seasonal variations
extreme precipitation
rain gauge data
climate
title Seasonal Cycle in German Daily Precipitation Extremes
title_full Seasonal Cycle in German Daily Precipitation Extremes
title_fullStr Seasonal Cycle in German Daily Precipitation Extremes
title_full_unstemmed Seasonal Cycle in German Daily Precipitation Extremes
title_short Seasonal Cycle in German Daily Precipitation Extremes
title_sort seasonal cycle in german daily precipitation extremes
topic Extreme value theory
Generalized Extreme Value (GEV) distribution
seasonal variations
extreme precipitation
rain gauge data
climate
url http://dx.doi.org/10.1127/metz/2017/0845
work_keys_str_mv AT madlenfischer seasonalcycleingermandailyprecipitationextremes
AT henningwrust seasonalcycleingermandailyprecipitationextremes
AT uweulbrich seasonalcycleingermandailyprecipitationextremes