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Advection and Diffusion Inferred from SST Anomaly Time Series

In: Advection and Diffusion in Random Media

Author

Listed:
  • Leonid I. Piterbarg

    (University of Southern California, Center for Applied Mathematical Sciences)

  • Alexander G. Ostrovskii

    (Kyushu University, Research Institute for Applied Mechanics)

Abstract

In chapter 9 we introduced the background physics for the stochastic model originated by Hasselmann (1976). So far Hasselmann’s theory is the only theory that describes SST nonseasonal variability in the middle latitudes. The advection-diffusion equation (9.42) governs SST anomaly transport and dissipation. Since (9.42) is identical to (6.1) and (7.1), we can use the autoregressive and maximum likelihood estimators developed in chapters 6–8 for extracting SST anomaly advection, diffusion, feedback, and the atmospheric forcing from observations. We will focus on the estimation of the velocity and diffusivity.

Suggested Citation

  • Leonid I. Piterbarg & Alexander G. Ostrovskii, 1997. "Advection and Diffusion Inferred from SST Anomaly Time Series," Springer Books, in: Advection and Diffusion in Random Media, chapter 0, pages 235-303, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4757-4458-3_10
    DOI: 10.1007/978-1-4757-4458-3_10
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