Ebook: Stochastic Modelling in Physical Oceanography

The study of the ocean is almost as old as the history of mankind itself. When the first seafarers set out in their primitive ships they had to understand, as best they could, tides and currents, eddies and vortices, for lack of understanding often led to loss of live. These primitive oceanographers were, of course, primarily statisticians. They collected what empirical data they could, and passed it down, ini­ tially by word of mouth, to their descendants. Data collection continued throughout the millenia, and although data bases became larger, more re­ liable, and better codified, it was not really until surprisingly recently that mankind began to try to understand the physics behind these data, and, shortly afterwards, to attempt to model it. The basic modelling tool of physical oceanography is, today, the partial differential equation. Somehow, we all 'know" that if only we could find the right set of equations, with the right initial and boundary conditions, then we could solve the mysteries of ocean dynamics once and for all.

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Content:
Front Matter....Pages i-xi
Particle Displacements in Inhomogeneous Turbulence....Pages 1-45
Massively Parallel Simulations of Motions in a Gaussian Velocity Field....Pages 47-68
Comparison tests for the spectra of dependent multivariate time series....Pages 69-88
A statistical approach to ocean model testing and tuning....Pages 89-112
Applications of stochastic particle models to oceanographic problems....Pages 113-140
Sound through the internal wave field....Pages 141-184
Stochastic modeling of turbulent flows....Pages 185-205
Neptune effect: statistical mechanical forcing of ocean circulation....Pages 207-219
Short-Time Correlation Approximations for Diffusing Tracers in Random Velocity Fields: A Functional Approach....Pages 221-269
Particles, vortex dynamics and stochastic partial differential equations....Pages 271-294
Nongaussian autoregressive sequences and random fields....Pages 295-309
Feature and contour based data analysis and assimilation in physical oceanography....Pages 311-342
Topics in Statistical Oceanography....Pages 343-380
Stochastic forcing of quasi-geostrophic eddies....Pages 381-395
Maximum likelihood estimators in the equations of physical oceanography....Pages 397-421
Chaotic transport by mesoscale motions....Pages 423-438
Chaotic Transport and Mixing by Ocean Gyre Circulation....Pages 439-466
Back Matter....Pages 467-469

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Content:
Front Matter....Pages i-xi
Particle Displacements in Inhomogeneous Turbulence....Pages 1-45
Massively Parallel Simulations of Motions in a Gaussian Velocity Field....Pages 47-68
Comparison tests for the spectra of dependent multivariate time series....Pages 69-88
A statistical approach to ocean model testing and tuning....Pages 89-112
Applications of stochastic particle models to oceanographic problems....Pages 113-140
Sound through the internal wave field....Pages 141-184
Stochastic modeling of turbulent flows....Pages 185-205
Neptune effect: statistical mechanical forcing of ocean circulation....Pages 207-219
Short-Time Correlation Approximations for Diffusing Tracers in Random Velocity Fields: A Functional Approach....Pages 221-269
Particles, vortex dynamics and stochastic partial differential equations....Pages 271-294
Nongaussian autoregressive sequences and random fields....Pages 295-309
Feature and contour based data analysis and assimilation in physical oceanography....Pages 311-342
Topics in Statistical Oceanography....Pages 343-380
Stochastic forcing of quasi-geostrophic eddies....Pages 381-395
Maximum likelihood estimators in the equations of physical oceanography....Pages 397-421
Chaotic transport by mesoscale motions....Pages 423-438
Chaotic Transport and Mixing by Ocean Gyre Circulation....Pages 439-466
Back Matter....Pages 467-469
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