Precipitation measurement techniques, typical data sets, and their application in erosion research and extreme value statistics

2021 ◽  
pp. 147-172
Author(s):  
Franziska K. Fischer ◽  
Tanja Winterrath
2020 ◽  
Author(s):  
Tamás Bódai ◽  
Torben Schmith

Abstract. With a view to seasonal forecasting of extreme value statistics, we apply the method of Nonstationary extreme value statistics to determine the predictive power of large scale quantities. Regarding winter cold extremes over Europe, we find that the monthly mean daily minimum local temperature – which we call a native co-variate in the present context – has a much larger predictive power than the nonlocal monthly mean Arctic Oscillation index. Our results also prompt that the exploitation of both co-variates is not possible from 70 years-long data sets.


Author(s):  
Martin Arntsen ◽  
Juliane Borge ◽  
Ole-Hermann Strømmesen ◽  
Edmond Hansen

The duration of current measurements is often short, ranging from a few weeks up to a year. Application of extreme value statistics to derive design levels requires relatively long time series. To mitigate the lack of long-term measurements, the Norwegian standard NS9415 for fish farm design requires the design level of 50-year return period to be derived by multiplication of the current maximum in month-long current measurements by a prescribed conversion factor of 1.85. Here we use twelve data sets of yearlong coastal current measurements to explore the validity of this factor. For each yearlong time series, a design level of 50-year return period is calculated by extreme value statistics and used to calculate estimates of the conversion factor. The mean value of the resulting conversion factor is close to that of NS9415, 1.85 and 1.80 at 5 and 15 m depth, respectively. However, the spread in values is great, both geographically and between months. A conversion factor ranging from 1 to 4 reflects different relative dominance of the driving forces at different coastal regions and different seasons. The absence of a significant seasonal cycle in the conversion factors calculated here, illustrates the difficulty in adjusting for season. The results illustrate and quantify the uncertainty and — often — the lack of conservatism in design levels derived from month long current observations.


2013 ◽  
Vol 10 (1) ◽  
Author(s):  
Helena Penalva ◽  
Manuela Neves

The statistical Extreme Value Theory has grown gradually from the beginning of the 20th century. Its unquestionable importance in applications was definitely recognized after Gumbel's book in 1958, Statistics of Extremes. Nowadays there is a wide number of applied sciences where extreme value statistics are largely used. So, accurately modeling extreme events has become more and more important and the analysis requires tools that must be simple to use but also should consider complex statistical models in order to produce valid inferences. To deal with accurate, friendly, free and open-source software is of great value for practitioners and researchers. This paper presents a review of the main steps for initializing a data analysis of extreme values in R environment. Some well documented packages are briefly described and two data sets will be considered for illustrating the use of some functions.


2013 ◽  
Author(s):  
M. Laurenza ◽  
G. Consolini ◽  
M. Storini ◽  
A. Damiani

1999 ◽  
Vol 150 (6) ◽  
pp. 209-218 ◽  
Author(s):  
Felix Forster ◽  
Walter Baumgartner

The two maps of intense rainfall in the Hydrological Atlas of Switzerland (1992, 1997) are compared to data of an evaluation of extreme value statistics. The results are transferred to recommendations for practioners.


Metals ◽  
2021 ◽  
Vol 11 (12) ◽  
pp. 1915
Author(s):  
Jungsub Lee ◽  
Sang-Youn Park ◽  
Byoung-Ho Choi

In this study, the fatigue characteristics of aluminum alloys and mechanical components were investigated. To evaluate the effect of forging, fatigue specimens with the same chemical compositions were prepared from billets and forged mechanical components. To evaluate the cleanliness of the aluminum alloys, the cross-sectional area of specimens was observed, and the maximum inclusion sizes were obtained using extreme value statistics. Rotary bending fatigue tests were performed, and the fracture surfaces of the specimens were analyzed. The results show that the forging process not only elevated the fatigue strength but also reduced the scatter of the fatigue life of aluminum alloys. The fatigue characteristics of C-specimens were obtained to develop finite-element method (FEM) models. With the intrinsic fatigue properties and strain–life approach, the FEM analysis results agreed well with the test results.


2014 ◽  
Vol 2 (1) ◽  
Author(s):  
Anne Dutfoy ◽  
Sylvie Parey ◽  
Nicolas Roche

AbstractIn this paper, we provide a tutorial on multivariate extreme value methods which allows to estimate the risk associated with rare events occurring jointly. We draw particular attention to issues related to extremal dependence and we insist on the asymptotic independence feature. We apply the multivariate extreme value theory on two data sets related to hydrology and meteorology: first, the joint flooding of two rivers, which puts at risk the facilities lying downstream the confluence; then the joint occurrence of high speed wind and low air temperatures, which might affect overhead lines.


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