Modelling significant wave height in the North Atlantic
The surface of the ocean, and so such quantities as the significant wave height, can be thought of as a random surface in space which develops over time. In this paper, we explore certain types of random fields (in space and time) as models for the significant wave height and fit these models to dat...
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International Society of Offshore and Polar Engineers
2003
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ftulundlup:oai:lup.lub.lu.se:6efa4a7d-8f85-41cf-adfb-5da40948758e 2023-05-15T17:33:41+02:00 Modelling significant wave height in the North Atlantic Baxevani, Anastassia Rychlik, Igor Wilson, Richard J 2003 https://lup.lub.lu.se/record/613056 eng eng International Society of Offshore and Polar Engineers https://lup.lub.lu.se/record/613056 wos:000223140300005 scopus:0942288317 pp 30-37 (2003) ISSN: 1098-6189 Probability Theory and Statistics Variograms Gaussian random fields contributiontobookanthology/conference info:eu-repo/semantics/conferencePaper text 2003 ftulundlup 2023-02-01T23:27:54Z The surface of the ocean, and so such quantities as the significant wave height, can be thought of as a random surface in space which develops over time. In this paper, we explore certain types of random fields (in space and time) as models for the significant wave height and fit these models to data obtained from the TOPEX-Poseidon satellite. The data consist of observations along different one-dimensional tracks over time. It is assumed that, for the region of ocean considered and for a fixed time, the data can be considered stationary. Further-more, the shape of the data suggests that it is reasonable to use a lognormal distribution. As the covariance function may change over time, the model chosen is fitted to the data for each time separately. The data over space exhibit variation at different scales and hence the covariance function needs to reflect this property. Consequently, a mixture of Gaussian functions is assumed for the covariance function. To fit the model to the data, the theoretical variogram is fitted to the empirical variogram using weighted least squares. Stochastic models for the variation of the parameter values were investigated. The results of fitting these models are discussed and interpreted. Conference Object North Atlantic Lund University Publications (LUP) |
institution |
Open Polar |
collection |
Lund University Publications (LUP) |
op_collection_id |
ftulundlup |
language |
English |
topic |
Probability Theory and Statistics Variograms Gaussian random fields |
spellingShingle |
Probability Theory and Statistics Variograms Gaussian random fields Baxevani, Anastassia Rychlik, Igor Wilson, Richard J Modelling significant wave height in the North Atlantic |
topic_facet |
Probability Theory and Statistics Variograms Gaussian random fields |
description |
The surface of the ocean, and so such quantities as the significant wave height, can be thought of as a random surface in space which develops over time. In this paper, we explore certain types of random fields (in space and time) as models for the significant wave height and fit these models to data obtained from the TOPEX-Poseidon satellite. The data consist of observations along different one-dimensional tracks over time. It is assumed that, for the region of ocean considered and for a fixed time, the data can be considered stationary. Further-more, the shape of the data suggests that it is reasonable to use a lognormal distribution. As the covariance function may change over time, the model chosen is fitted to the data for each time separately. The data over space exhibit variation at different scales and hence the covariance function needs to reflect this property. Consequently, a mixture of Gaussian functions is assumed for the covariance function. To fit the model to the data, the theoretical variogram is fitted to the empirical variogram using weighted least squares. Stochastic models for the variation of the parameter values were investigated. The results of fitting these models are discussed and interpreted. |
format |
Conference Object |
author |
Baxevani, Anastassia Rychlik, Igor Wilson, Richard J |
author_facet |
Baxevani, Anastassia Rychlik, Igor Wilson, Richard J |
author_sort |
Baxevani, Anastassia |
title |
Modelling significant wave height in the North Atlantic |
title_short |
Modelling significant wave height in the North Atlantic |
title_full |
Modelling significant wave height in the North Atlantic |
title_fullStr |
Modelling significant wave height in the North Atlantic |
title_full_unstemmed |
Modelling significant wave height in the North Atlantic |
title_sort |
modelling significant wave height in the north atlantic |
publisher |
International Society of Offshore and Polar Engineers |
publishDate |
2003 |
url |
https://lup.lub.lu.se/record/613056 |
genre |
North Atlantic |
genre_facet |
North Atlantic |
op_source |
pp 30-37 (2003) ISSN: 1098-6189 |
op_relation |
https://lup.lub.lu.se/record/613056 wos:000223140300005 scopus:0942288317 |
_version_ |
1766132260704092160 |