A new method for modelling the space variability of significant wave height
Significant wave height, Hs, is a measure of the variability of the ocean surface and is defined to be four times the standard deviation of the height of the ocean surface. In this paper, we present a methodology for modelling estimates of Hs over space and time, using data obtained from satellite m...
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ftcyprusunivir:oai:gnosis.library.ucy.ac.cy:7/56483 2023-05-15T17:34:46+02:00 A new method for modelling the space variability of significant wave height Baxevani, Anastassia Rychlik, I. Wilson, R. J. Baxevani, Anastassia 0000-0002-7498-9048 2005 http://gnosis.library.ucy.ac.cy/handle/7/56483 https://doi.org/10.1007/s10687-006-0002-2 unknown 1386-1999 http://gnosis.library.ucy.ac.cy/handle/7/56483 doi:10.1007/s10687-006-0002-2 Extremes https://www.scopus.com/inward/record.uri?eid=2-s2.0-33747711341&doi=10.1007%2fs10687-006-0002-2&partnerID=40&md5=36f1c3d702922c1d89723bf591892a28 Total variation Significant wave height Gaussian random fields Random surface Satellite data Stationary info:eu-repo/semantics/article Article 2005 ftcyprusunivir https://doi.org/10.1007/s10687-006-0002-2 2021-06-05T18:45:37Z Significant wave height, Hs, is a measure of the variability of the ocean surface and is defined to be four times the standard deviation of the height of the ocean surface. In this paper, we present a methodology for modelling estimates of Hs over space and time, using data obtained from satellite measurements. These estimates can be thought of as a random surface in space which develops over time. For each fixed time and over some limited region in space, the field consisting of the Hs estimates may be considered stationary. Furthermore, it is reasonable to assume that the (natural) logarithms of the Hs estimates are normally distributed. Under these assumptions and for each fixed time, the marginal distribution over space of the random field of the logarithms of the Hs estimates is fitted by estimating its mean and covariance function, where the form of the covariance function is chosen to allow for correlation patterns at different spatial scales in the data. Both the mean and the covariance function of this model are allowed to be time dependent. A new methodology is developed for estimating the parameters of the chosen covariance structure. The proposed model is validated along the TOPEX-Poseidon satellite tracks by computing distributions of different quantities for the fitted model and comparing these to empirical estimates. Finally, the fitted model is used to compute the distribution of the global maximum over a certain region in the North Atlantic and to reconstruct the Hs field. 8 4 267 294 Cited By :17 Article in Journal/Newspaper North Atlantic University of Cyprus: Gnosis Institutional Repository Extremes 8 4 267 294 |
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Open Polar |
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University of Cyprus: Gnosis Institutional Repository |
op_collection_id |
ftcyprusunivir |
language |
unknown |
topic |
Total variation Significant wave height Gaussian random fields Random surface Satellite data Stationary |
spellingShingle |
Total variation Significant wave height Gaussian random fields Random surface Satellite data Stationary Baxevani, Anastassia Rychlik, I. Wilson, R. J. A new method for modelling the space variability of significant wave height |
topic_facet |
Total variation Significant wave height Gaussian random fields Random surface Satellite data Stationary |
description |
Significant wave height, Hs, is a measure of the variability of the ocean surface and is defined to be four times the standard deviation of the height of the ocean surface. In this paper, we present a methodology for modelling estimates of Hs over space and time, using data obtained from satellite measurements. These estimates can be thought of as a random surface in space which develops over time. For each fixed time and over some limited region in space, the field consisting of the Hs estimates may be considered stationary. Furthermore, it is reasonable to assume that the (natural) logarithms of the Hs estimates are normally distributed. Under these assumptions and for each fixed time, the marginal distribution over space of the random field of the logarithms of the Hs estimates is fitted by estimating its mean and covariance function, where the form of the covariance function is chosen to allow for correlation patterns at different spatial scales in the data. Both the mean and the covariance function of this model are allowed to be time dependent. A new methodology is developed for estimating the parameters of the chosen covariance structure. The proposed model is validated along the TOPEX-Poseidon satellite tracks by computing distributions of different quantities for the fitted model and comparing these to empirical estimates. Finally, the fitted model is used to compute the distribution of the global maximum over a certain region in the North Atlantic and to reconstruct the Hs field. 8 4 267 294 Cited By :17 |
author2 |
Baxevani, Anastassia 0000-0002-7498-9048 |
format |
Article in Journal/Newspaper |
author |
Baxevani, Anastassia Rychlik, I. Wilson, R. J. |
author_facet |
Baxevani, Anastassia Rychlik, I. Wilson, R. J. |
author_sort |
Baxevani, Anastassia |
title |
A new method for modelling the space variability of significant wave height |
title_short |
A new method for modelling the space variability of significant wave height |
title_full |
A new method for modelling the space variability of significant wave height |
title_fullStr |
A new method for modelling the space variability of significant wave height |
title_full_unstemmed |
A new method for modelling the space variability of significant wave height |
title_sort |
new method for modelling the space variability of significant wave height |
publishDate |
2005 |
url |
http://gnosis.library.ucy.ac.cy/handle/7/56483 https://doi.org/10.1007/s10687-006-0002-2 |
genre |
North Atlantic |
genre_facet |
North Atlantic |
op_source |
Extremes https://www.scopus.com/inward/record.uri?eid=2-s2.0-33747711341&doi=10.1007%2fs10687-006-0002-2&partnerID=40&md5=36f1c3d702922c1d89723bf591892a28 |
op_relation |
1386-1999 http://gnosis.library.ucy.ac.cy/handle/7/56483 doi:10.1007/s10687-006-0002-2 |
op_doi |
https://doi.org/10.1007/s10687-006-0002-2 |
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8 |
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4 |
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267 |
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294 |
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1766133695892160512 |