Space–time models for moving fields with an application to significant wave height fields
Article first published online: 29 DEC 2010
Copyright 2010 John Wiley & Sons, Ltd.
Volume 22, Issue 3, pages 354–369, May 2011
How to Cite
Ailliot, P., Baxevani, A., Cuzol, A., Monbet, V. and Raillard, N. (2011), Space–time models for moving fields with an application to significant wave height fields. Environmetrics, 22: 354–369. doi: 10.1002/env.1061
- Issue published online: 15 APR 2011
- Article first published online: 29 DEC 2010
- Manuscript Accepted: 20 MAY 2010
- Manuscript Received: 19 MAY 2010
- Manuscript Revised: 19 MAY 2010
- Gothenburg Mathematical Modelling Center
- space–time model;
- significant wave height;
- state-space models
The surface of the ocean, and so such quantities as the significant wave height, , 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. Copyright © 2010 JohnWiley & Sons, Ltd.