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Generalized extreme value shape parameter and its nature for extreme precipitation using long time series and the Bayesian approach
Authors:Galina Ragulina  Trond Reitan
Institution:1. Natural Hazard Department, Snow Avalanche and Rock Slides Division, Norwegian Geotechnical Institute (NGI), Oslo, Norway???;2. Landslides, Flood and River Management Department, Section of Hazard Mapping and Department of Hydrology, Section of Sediment and Erosion, Norwegian Water Resources and Energy Directorate (NVE), Oslo, Norway???Galina.Ragulina@ngi.no;4. Department of Hydrology, Section of Hydroinformatics, Norwegian Water Resources and Energy Directorate (NVE), Oslo, Norway;5. CEES, Department of Biosciences, University of Oslo, Oslo, Norway
Abstract:Assessing the probability of extreme precipitation events is consequential in civil planning. This requires an understanding of how return values change with return periods, which is essentially described by the generalized extreme value (GEV) shape parameter. Some works in the field suggest a constant shape parameter, while our analysis indicates a non-universal value. We re-analysed an older precipitation dataset (169 stations) extended by Norwegian data (71 stations). We showed that while each set seems to have a constant shape parameter, it differs between the two datasets, indicating regional differences. For a more comprehensive analysis of spatial effects, we examined a global dataset (1495 stations). We provided shape parameter maps for two models and found clear evidence that the shape parameter depends on elevation, while the effect of latitude remains uncertain. Our results confirm an explanation in terms of dominating precipitation systems based on a proxy derived from the Köppen-Geiger climate classification.
EDITOR D. Koutsoyiannis

ASSOCIATE EDITOR not assigned
Keywords:Extreme value theory  generalized extreme value (GEV)  shape parameter  Bayesian approach  extreme precipitation  spatial modelling
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