Space-time models for moving fields with an application to significant wave height fields

Type Article
Date 2011-05
Language English
Author(s) Ailliot Pierre1, Baxevani Anastassia2, Cuzol Anne3, Monbet Valerie3, Raillard NicolasORCID1, 3, 4
Affiliation(s) 1 : Univ Europeenne Bretagne, UMR 6205, Math Lab, Brest, France.
2 : Univ Gothenburg, Chalmers Univ Technol, Dept Math Sci, Gothenburg, Sweden.
3 : Univ Europeenne Bretagne, UMR 3192, Lab STICC, Vannes, France.
4 : Laboratoire d’Oc´eanographie Spatiale, IFREMER, France
Source Environmetrics (1180-4009) (Wiley-blackwell), 2011-05 , Vol. 22 , N. 3 , P. 354-369
DOI 10.1002/env.1061
WOS© Times Cited 17
Keyword(s) space-time model, significant wave height, state-space models
Abstract The surface of the ocean, and so such quantities as the significant wave height, equation image, can be thought of as a random surface that develops over time. In this paper, we explore certain types of random fields in space and time, with and without dynamics that may or may not be driven by a physical law, as models for the significant wave height. Reanalysis data is used to estimate the sea-state motion which is modeled as a hidden Markov chain in a state space framework by means of an AR(1) process or in the presence of the dispersion relation. Parametric covariance models with and without dynamics are fitted to reanalysis and satellite data and compared to the empirical covariance functions. The derived models have been validated against satellite and buoy data.
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