2011
DOI: 10.1214/11-aoas464
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Spatial modeling of extreme snow depth

Abstract: The spatial modeling of extreme snow is important for adequate risk management in Alpine and high altitude countries. A natural approach to such modeling is through the theory of max-stable processes, an infinite-dimensional extension of multivariate extreme value theory. In this paper we describe the application of such processes in modeling the spatial dependence of extreme snow depth in Switzerland, based on data for the winters 1966--2008 at 101 stations. The models we propose rely on a climate transformat… Show more

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Cited by 156 publications
(211 citation statements)
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References 59 publications
(71 reference statements)
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“…The rootmean-square error was then calculated, providing the expected RMS error of the in situ data according to the number of snow depths measured. This method assumes a Poisson distribution, which has been used in snow depth modeling [Blanchet and Davidson, 2011] and in W99. For an average of 16 in situ measurements per snow radar footprint, the expected error was 1.4 cm.…”
Section: In Situ Datamentioning
confidence: 99%
“…The rootmean-square error was then calculated, providing the expected RMS error of the in situ data according to the number of snow depths measured. This method assumes a Poisson distribution, which has been used in snow depth modeling [Blanchet and Davidson, 2011] and in W99. For an average of 16 in situ measurements per snow radar footprint, the expected error was 1.4 cm.…”
Section: In Situ Datamentioning
confidence: 99%
“…xi(s) distributes identical independent random [5]. Z(s) is said max-stable if and only if follows distribution of GEV which constitutes distribution for extreme happening data.…”
Section: Max-stable Processmentioning
confidence: 99%
“…Looking at recent applications in extreme geostatistics (Blanchet and Davison (2011) , Davison and Gholamrezaee (2011)), a new kind of stochastic model suits the need of extreme spatial modelling. They are based on the so-called max-stable processes.…”
Section: Spatial Extreme Modellingmentioning
confidence: 99%
“…But max-stable processes overtake them by bringing information continuously over the area studied, even where no observation is available. The performance of such modelling has been shown in applications in other environmental contexts, like for instance the study of heavy snow events in Blanchet and Davison (2011) or heatwaves in Davison and Gholamrezaee (2011). Some investigations on significant waves has been produced by Raillard et al (2014).…”
Section: Introductionmentioning
confidence: 99%