Space-time models for moving fields with an application to significant wave height fields
Artikel i vetenskaplig tidskrift, 2011

The surface of the ocean, and so such quantities as the significant wave height, $H-s$, 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. © 2010 John Wiley & Sons, Ltd.

significant wave height

space-time model

state-space models

Författare

Pierre Ailliot

Universite europeenne de Bretagne

Anastassia Baxevani

Göteborgs universitet

Chalmers, Matematiska vetenskaper, matematisk statistik

Anne Cuzol

Universite europeenne de Bretagne

Valerie Monbet

Universite europeenne de Bretagne

N Raillard

Universite europeenne de Bretagne

IFREMER Institut Francais de Recherche pour l'Exploitation de la Mer

Environmetrics

1180-4009 (ISSN) 1099-095X (eISSN)

Vol. 22 3 354-369

Ämneskategorier

Matematik

DOI

10.1002/env.1061