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Spatio-Temporal Modelling of Wind Speed Variations

Conference paper
Authors Wengang Mao
Oscar Ivarsson
Igor Rychlik
Published in The 28th International Ocean and Polar Engineering Conference, 10-15 June, Sapporo, Japan
ISBN 978-1-880653-87-6
Publisher International Society of Offshore and Polar Engineers
Publication year 2018
Published at Department of Mathematical Sciences
Language en
Keywords South China Sea, Arctic Ocean, Hybrid model, Extreme wind, Gaussian field, Spatio-temporal wind statistics, Caribbean Sea
Subject categories Probability Theory and Statistics, Meteorology and Atmospheric Sciences


Wind speed variability in the Northern North Atlantic has been successfully modelled by a spatio-temporal transformed Gaussian field in our previous study. It was shown that this type of model does not describe correctly the extreme wind speeds attributed to tropical storms and hurricanes. This spatio-temporal model was generalized to include the possibility of the occurrence of rare severe storms. In that work, the daily wind speed variability was modelled by the transformed Gaussian field, and then random components were added to model rare events with extreme wind speeds. The model was termed the hybrid model. The transformed Gaussian and the hybrid models are locally stationary and homogeneous random fields with localized dependence structure, which is described by time and space dependent parameters with a natural physical interpretation. In the present study, these models are used to describe the variability of wind speed in other areas, i.e., the Caribbean sea, the South China Sea and the Arctic area. In most locations, the transformed Gaussian field is a sufficiently accurate model. However, in some regions, e.g. Laptev and the Beaufort Sea at the Arctic, this model severely underestimates the frequencies of extreme winds. In this study, the hybrid model is used to describe the wind variation in these regions. There are also locations, e.g. along the east coast of Greenland, most of the coast areas of the South China Sea, where frequencies of high wind speeds are severely overestimated by the transformed Gaussian model. In this paper, the models are fitted to ERA-Interim reanalysis wind data and used to find long-term distributions of wind speed, to estimate wind speed return values, e.g. 100-year extreme wind speed, and to compute the expected yearly frequency of events that wind speed exceeds a fixed threshold value.

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