Abstract
Application of optimal data assimilation methods in oceanography is, if anything, more important than it is in numerical weather prediction, due to the sparsity of data. Here, a general framework is presented and practical examples taken from the author’s work are described, with the purpose of conveying to the reader some idea of the state of the art of data assimilation in oceanography. While no attempt is made to be exhaustive, references to other lines of research are included. Major challenges to the community include design of statistical error models and handling of strong nonlinearity.
This work was supported by ONR contract N00014-90-J-1125, NSF Grant OCE8800004 and the National Research Council through the Resident Research Associate program.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
A. F. BENNETT, Inverse Problems in Physical Oceanography, Cambridge University Press, New York, 1992.
A.F. BENNETT and W.P. BUDGELL, The Kalman smoother for a linear quasigeostrophic model of ocean circulation, Dyn. Atmos. Oceans, 13 (1989), pp. 219–267
A.F. BENNETT and R.N. MILLER, Weighting initial conditions in variational assimilation schemes, Mon. Wea. Rev. 119 (1991), pp. 1098–1102.
A.F. BENNETT And M.A. THORBURN, The generalized inverse of a nonlinear quasigeostrophic ocean circulation model, J. Phys. Oceanogr., 22 (1991), pp. 213–230.
M.A. CANE, Modeling sea level during el Nino, J. Phys. Oceanogr., 14 (1984), pp. 1864–1874.
M.A. CANE and R.J. PATTON, A numerical model for low-frequency equatorial dynamics, J. Phys. Oceanogr., 14 (1984), pp. 1853–1863.
B. EFRON and G. GONG, A leisurely look at the bootstrap, the jackknife and cross-validation, Am. Stat., 37 (1983), pp. 36–48.
G.E. FORSYTHE and C.B. MOLER, Computer Solution of Linear Algebraic Systems, Prentice-Hall, Inc., Englewood Cliffs, NJ., 1967, p. 148.
S.B. GOLDENBERG and J.J. O’brien, Time and space variability of tropical Pacific wind stress, Mon. Wea. Rev., 109 (1981), pp. 1190–1207.
D.E. HARRISON, W.S. KESSLER, and B.J. GLESE, Ocean circulation and model hindcasts of the 1982-83 El Nino: Thermal variability along the ship-of- opportunity tracks, J. Phys. Oceanogr., 19 (1989), pp. 397–418.
LEE-LEUNG Fu, J. Vazquez and C. Perigaud, Fitting dynamic models to the Geosat sea level observations in the tropical Pacific ocean, J. Phys. Oceanogr., 21 (1991), pp. 798–809.
P. GASPAR and C. WUNSCH, Estimates from altimeter data of barotropic Rossby waves in the northwestern Atlantic ocean, J. Phys. Oceanogr., 19 (1989), pp. 1821–1844.
P. GAUTHIER, Chaos and quadri-dimensional data assimilation: a study based on the Lorenz model, Tellus, 44A (1992), pp. 2–17.
M. GHIL and P. MALANOTTE-RIZZOLI, Data assimilation in meteorology and oceanography, Adv. Geophys., 33 (1991), pp. 141–266.
A.H. JAZWINSKI, Stochastic Processes and Filtering Theory, Academic Press, New York, 1970, p. 376.
F.X. LE DIMET and O. TALAGRAND, Variational algorithms for analysis and assimilation of meteorological observations: Theoretical aspects, Tellus, 38A (1986), pp. 97–110.
R.N. MILLER and M.A. CANE, A Kalman filter analysis of sea level height in the tropical Pacific, J. Phys. Oceanogr., 19 (1989), pp. 773–790.
R.N. MILLER, Tropical data assimilation experiments with simulated data: the impact of the Tropical Ocean and Global Atmosphere Thermal Array for the Ocean, J. Geophys. Res., 95 (1990), pp. 11461–11482.
A.M. MOORE, Aspects of geostrophic adjustment during tropical ocean data assimilation, J. Phys. Oceanogr., 19 (1989), pp. 435–461.
R.W. REYNOLDS, K. ARPE, C. GORDON, S.P. HAYES, A. LEETMAA and M.J. MCPHADEN, A comparison of tropical Pacific surface wind analysis, J. Clim., 2 (1989), 105–111.
Y. SASAKI, Some basic formalisms in numerical variational analysis, Mon. Wea. Rev., 98 (1970), pp. 875–883.
W.C. THACKER, The role of the Hessian matrix in fitting models to measurements, J. Geophys. Res., 94 (1989), pp. 6177–6196.
W.C. THACKER and R.B. Long, Fitting dynamics to data, J. Geophys. Res., 93 (1988), pp. 1227–1240.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1996 Springer-Verlag New York, Inc.
About this paper
Cite this paper
Miller, R.N. (1996). Application of Optimal Data Assimilation Techniques in Oceanography. In: Wheeler, M.F. (eds) Environmental Studies. The IMA Volumes in Mathematics and its Applications, vol 79. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-8492-2_15
Download citation
DOI: https://doi.org/10.1007/978-1-4613-8492-2_15
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4613-8494-6
Online ISBN: 978-1-4613-8492-2
eBook Packages: Springer Book Archive