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Extreme value analyses

Extreme value analyses for stations located within the affected regions of the precipitation event of 30 April - 4 May 2015.

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Return periods of the 5-day precipitation for 30 April - 4 May 2015

This event brought extraordinary precipitation amounts at the foot of or in the Jura, on the Plateau, in the Bernese Oberland and in the Vaud Alps. For some stations located in those regions, the precipitation recorded between 30 April and 4 May 2015 corresponds to a 10 to 100-year event.

The 5-day precipitation measured between 30 April and 4 May was the most rare at stations Herzogenbuchsee (BE, 143.2 mm) and Château-d’Oex (VD, 150.9 mm), with corresponding return periods of 50 to 100 years. It was less rare for stations located in the Jura and Chablais, and corresponds “only” to a 10 to 50-year event.

Map of Switzerland with, in colored circles, the return periods of the 5-day precipitation for 30 April to 4 May 2015.
Map of the return periods (in years) of the 5-day precipitation for 30 April - 4 May 2015.

The 5-day precipitation is measured between 30 April 2015, 05:40 UTC and 05 May 2015, 05:40 UTC. The return periods are based on the generalized extreme value distribution estimated from the annual 5-day precipitation maxima during the period 1961-2010. The size of the circles is proportional to the value of the return period. The filling of the circles indicates the reliability of the statistics: good (filled circle), questionable (circle with cross) and poor (empty circle).

Return periods of the largest 4, 3, 2 and 1-day precipitation

Since most of the precipitation fell only between 30 April and 3 May, the return periods of the largest 4-day precipitation are slightly higher than for 5-day precipitation, i.e. between 10 and 100 years. The rarest 4-day precipitation was recorded at station Herzogenbuchsee (139.4 mm) and corresponds to a 50 to 100-year event. Precipitation amounts having return periods of 20 to 50 years were measured at the foot of the Jura (Riedholz-Wallierhof SO: 185.2 mm; Combe-Garot NE: 133.2 mm), in the Bernese Oberland (Boltigen: 168.8 mm), as well as in the Vaud Alps (Gryon: 132.5 mm) and the Chablais (Bex: 107.1 mm).

The largest 3, 2 and 1-day precipitation measured during this event were less rare than the largest 4-day precipitation for a certain number of stations located on the northern side of the Alps, corresponding to return levels with a return period of 10 to 50 years. Hence, it seems that not only the large precipitation amounts that fell as rain on 1 May (see section Precipitation and temperature), but also the persistence of the rainfall over several days contributed to making this event extreme for these stations.

Extreme value analyses for 5-day and 1-day precipitation

This section provides the extreme value analysis for the stations presented in the section Hyetographs. Due to the lack of sufficiently long data, not all stations are shown. The statistics are based on the period 1961-2010. Return level plots of 5-day and 1-day precipitation maxima are shown when the statistics are reliable. When the statistics are not reliable or when the length of the records is too short, tables of the ten highest precipitation maxima for the period 1961-2014 or between the beginning of the measurements and 2014 are shown instead and can be used for comparison with the precipitation amounts presented in the section Precipitation and temperature. In addition, PDFs of the extreme value analyses are given when the reliability of the results is good or questionable.

Adelboden
Left: table listing the dates of the 10 highest annual 5-day precipitation maxima with the corresponding precipitation sums. Right: return level plot for 1-day precipitation, showing, with lines, the best estimate for the return levels and the corresponding 95% confidence intervals.
Left: 10 highest annual 5-day precipitation maxima at station Adelboden between 1961 and 2014. Precipitation sums are calculated from 05:40 UTC of one day to 05:40 UTC of the following day. The date indicates the last entire day over which the precipitation is summed. Right: plot of return levels and their uncertainty (ordinate) for a given return period (abscissa) for 1-day precipitation. The return level estimates are given by the blue line, while the return level 95% confidence bounds are colored in green.

Boltigen
Return level plots showing, with lines, the best estimate for the return levels and the corresponding 95% confidence intervals.
Plots of return levels and their uncertainty (ordinate) for a given return period (abscissa) for 5-day (left) and 1-day (right) precipitation for station Boltigen. The return level estimates are given by the blue line, while their 95% confidence bounds are colored in green.

Château-d’Oex
Return level plots showing, with lines, the best estimate for the return levels and the corresponding 95% confidence intervals.
Plots of return levels and their uncertainty (ordinate) for a given return period (abscissa) for 5-day (left) and 1-day (right) precipitation for station Château-d’Oex. The return level estimates are given by the blue line, while their 95% confidence bounds are colored in green.

Col des Mosses
Tables listing the dates of the 10 highest annual 5-day and 1-day precipitation maxima with the corresponding precipitation sums.
10 highest annual 5-day (left) and 1-day (right) precipitation maxima at station Col des Mosses between 1972 and 2014. Precipitation sums are calculated from 05:40 UTC of one day to 05:40 UTC of the following day. The date indicates the last entire day over which the precipitation is summed.

Gsteig, Gstaad
Return level plots showing, with lines, the best estimate for the return levels and the corresponding 95% confidence intervals.
Plots of return levels and their uncertainty (ordinate) for a given return period (abscissa) for 5-day (left) and 1-day (right) precipitation for station Gsteig, Gstaad. The return level estimates are given by the blue line, while their 95% confidence bounds are colored in green.

La Dôle
Tables listing the dates of the 10 highest annual 5-day and 1-day precipitation maxima with the corresponding precipitation sums.
10 highest annual 5-day (left) and 1-day (right) precipitation maxima at station La Dôle between 1973 and 2014. Precipitation sums are calculated from 05:40 UTC of one day to 05:40 UTC of the following day. The date indicates the last entire day over which the precipitation is summed.

Magglingen
Return level plots showing, with lines, the best estimate for the return levels and the corresponding 95% confidence intervals.
Plots of return levels and their uncertainty (ordinate) for a given return period (abscissa) for 5-day (left) and 1-day (right) precipitation for station Magglingen. The return level estimates are given by the blue line, while their 95% confidence bounds are colored in green.

Montana
Return level plots showing, with lines, the best estimate for the return levels and the corresponding 95% confidence intervals.
Plots of return levels and their uncertainty (ordinate) for a given return period (abscissa) for 5-day (left) and 1-day (right) precipitation for station Montana. The return level estimates are given by the blue line, while their 95% confidence bounds are colored in green.

Morgins
Tables listing the dates of the 10 highest annual 5-day and 1-day precipitation maxima with the corresponding precipitation sums.
10 highest annual 5-day (left) and 1-day (right) precipitation maxima at station Morgins between 1975 and 2014. Precipitation sums are calculated from 05:40 UTC of one day to 05:40 UTC of the following day. The date indicates the last entire day over which the precipitation is summed.

Nesselboden
Tables listing the dates of the 10 highest annual 5-day and 1-day precipitation maxima with the corresponding precipitation sums.
10 highest annual 5-day (left) and 1-day (right) precipitation maxima at station Nesselboden between 1973 and 2014. Precipitation sums are calculated from 05:40 UTC of one day to 05:40 UTC of the following day. The date indicates the last entire day over which the precipitation is summed.

Riedholz-Wallierhof
Left: return level plot for 1-day precipitation, showing, with lines, the best estimate for the return levels and the corresponding 95% confidence intervals. Right: table listing the dates of the 10 highest annual 1-day precipitation maxima with the corresponding precipitation sums.
Left: plot of return levels and their uncertainty (ordinate) for a given return period (abscissa) for 5-day precipitation for station Riedholz-Wallierhof. The return level estimates are given by the blue line, while their 95% confidence bounds are colored in green. Right: 10 highest annual 1-day precipitation maxima between 1969 and 2014. Precipitation sums are calculated from 05:40 UTC of one day to 05:40 UTC of the following day.

Wynau
Tables listing the dates of the 10 highest annual 5-day and 1-day precipitation maxima with the corresponding precipitation sums.
10 highest annual 5-day (left) and 1-day (right) precipitation maxima at station Wynau between 1969 and 2014. Precipitation sums are calculated from 05:40 UTC of one day to 05:40 UTC of the following day. The date indicates the last entire day over which the precipitation is summed.