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The fractal dimension of drifter trajectories and estimates of horizontal eddy-diffusivity Cover

The fractal dimension of drifter trajectories and estimates of horizontal eddy-diffusivity

Open Access
|Jan 1991

References

  1. Batchelor , G. K . 1952 . Diffusion in a field of homogeneous turbulence. II. The relative motion of particles . Proc. Camb. Phil. Soc . 48 , 345 362 .
  2. Booth , D. A . 1988 . Horizontal dispersion in the northeast Atlantic . Deep-Sea Research 35 , 1937 1951 .
  3. Booth , D. A. and Meldrum , D. T . 1987 . Drifting buoys in the Northeast Atlantic . J. Cons. int. Explor. Mer . 43 , 261 267 .
  4. Brier , G. W . 1959 . The statistical theory of turbulence and the problem of diffusion in the atmosphere . J. Met . 7 , 283 .
  5. Colin de Verdiere, A . 1983 . Lagrangian Eddy Statistics from Surface Drifters in the Eastern North Atlantic . J. Mar. Res . 41 , 375 398 .
  6. Davis , R. E . 1985 . Drifter Observations of Coastal Surface Currents During CODE: The Statistical and Dynamical Views . J. Geophys. Res . 90 , 4756 4772 .
  7. Davis , R. E . 1983 . Oceanic property transport, Lagrangian particle statistics and their prediction , J. Mar. Res . 41 , 164 194 .
  8. Ellet , D. J. and Martin , J. H. A . 1973 . The physical and chemical oceanography of the Rockall Channel . Deep-Sea Research 20 , 585 625 .
  9. Fahrbach , E. , Brockmann , C. and Meincke , J . 1986 . Horizontal mixing in the atlantic equatorialunder-current estimated from drifting buoy clusters. J . Geophys. Res . 91 ( C9 ), 10557 10565 .
  10. Freeland , H. J. , Rhines , P. B. and Rossby , T . 1975 . Statistical observations of the trajectories of neutrally buoyant floats in the North Atlantic . J. Mar. Res . 33 , 383 404 .
  11. Garrett , C. , Middleton , J. F. , Majaess , F. and Hazen , M . 1985 . Analysis and prediction of iceberg trajectories . Department of Oceanography , Dalhousie University , Nova Scotia , 86 pp.
  12. Geary , R. C . 1936 . Moments of the ratio of the mean deviation to the standard deviation for normal samples . Biometrika 28 , 295 307 .
  13. Krauss , W. and Boning , C. W . 1987 . Lagrangian properties of eddy fields in the northern North Atlantic as deduced from satellite-tracked buoys . J. Mar. Res . 45 , 259 291 .
  14. Mandelbrot , B. B . 1977 . Fractals: form, chance and dimension . W. H. Freeman and company , San Francisco , 365 pp.
  15. Mandelbrot , B. B . 1982 . The fractal geometry of nature . W. H. Freeman and Company , New York , 468 pp.
  16. Mandelbrot , B. B. and Van Ness , J. W . 1968 . Fractional Brownian motions, fractional noises andapplications . SIAM Review 10 , 422 437 .
  17. Okubo , A . 1971 . Oceanic diffusion diagrams . Deep-Sea Research 18 , 789 806 .
  18. Okubo , A. , Carter , H. H. , Wilson , R. E. , Sanderson , B. G. and Partch , E. N . 1983 . A Lagrangian Eulerian diffusion study in the coastal surface layers . Special Report 46, Reference 83-1, Marine Sciences Research Center, SUNY, 295 pp.
  19. Osborne , A. R. and Caponio , R . 1990 . Fractal trajectories and anomalous diffusion for chaotic particle motions in 2D turbulence . Phys. Rev. Lett . 64 , 1733 1736 .
  20. Osborne , A. R. , Caponio , R. and Pastorello , A . 1991 . Hamiltonian chaos and multifractal particle dynamics in 2D turbulence . Modern Physics Letters A 6 , 83 91 .
  21. Osborne , A. R. , Kirwan , A. D. Jr. , Provenzale , A. and Bergamasco , L . 1986 . A search for chaotic behaviour in large and measoscale motions in the Pacific Ocean . Physica 23D , 75 83 .
  22. Osborne , A. R. , Kirwan , A. D. Jr. , Provenzale , A. and Bergamasco , A . 1989 . Fractal drifter trajectories in the Kuroshio extension . Tellus 41A , 416 435 .
  23. Osborne , A. R. and Provenzale , A . 1989 . Finite correlation dimension for stochastic systems with power-law spectra . Physica D 35 , 357 381 .
  24. Ottino , J. M. , Leong , C. W. , Rising , H. and Swanson , P. D . 1988 . Morphological structures produced by mixing in chaotic flows . Nature 333 , 419 425 .
  25. Poulain , P. and Niiler , P. P . 1989 . Statistical analysis of the surface circulation in the California current system using satellite-tracked drifters . J. Phys. Oceanogr . 19 , 1588 1603 .
  26. Pun , S. C. and Mullen , K . 1980 . Applied statistics for food and agricultural scientists . G. K. Hall Medical Publications, 311 pp.
  27. Rapaport , D. C . 1985 . The fractal nature of molecular trajectories in fluids . J. Statistical Phys . 40 , 751 758 .
  28. Sanderson , B. G . 1982 . A Lagrangian description of drifter dispersion . Ph.D. dissertation, Marine Sciences Research Center, State University of New York, Stony Brook, 197 pp.
  29. Sanderson , B. G. , Okubo , A. and Goulding , A . 1990 . The fractal dimension of relative Lagrangian motion . Tellus 42A , 550 556 .
  30. Sanderson , B. G. and Pal , B. K . 1990 . Patch diffusion computed from Lagrangian data, with application to the atlantic equatorial undercurrent . Atmosphere-Ocean 28 , 444 465 .
  31. Taylor , G. I . 1921 . Diffusion by continuous movements . Proc. London Math. Soc . 20 , 196 211 .
  32. Thomson , R. O. , LeBlond , P. H. and Emery , W. J. 1990. Analysis of deep-drogued satellite-tracked drifter measurements in the northeast Pacific. Atmosphere-Ocean 28 , 409 443 .
Language: English
Page range: 334 - 349
Submitted on: Aug 21, 1990
Accepted on: Feb 7, 1991
Published on: Jan 1, 1991
Published by: Stockholm University Press
In partnership with: Paradigm Publishing Services

© 1991 Brian G. Sanderson, David A. Booth, published by Stockholm University Press
This work is licensed under the Creative Commons Attribution 4.0 License.