Multifractal analysis of oceanic chlorophyll maps remotely sensed from space

Ocean Science

Volumn 7, Issue 2, 2011, Pages 219-229

  De Montera, L ^a   Jouini, M ^a   Verrier, S ^b   Thiria, S ^a   Crepon, M ^a  

^a UNIVERSITÉ PIERRE ET MARIE CURIE   (France)

^b SERVICE D AÉRONOMIE DU CNRS   (France)

Author keywords

[No Author keywords available]

Indexed keywords

CHLOROPHYLL; MESOSCALE MOTION; NUMERICAL MODEL; PATCHINESS; PHYTOPLANKTON; REMOTE SENSING; SEAWIFS; SOURCE-SINK DYNAMICS; TURBULENT MIXING; UPWELLING;

EID: 79953166794     PISSN: 18120784     EISSN: 18120792     Source Type: Journal    
DOI: 10.5194/os-7-219-2011     Document Type: Article

References (40)

1. Aristegui, J., Alvarez-Salgado, X. A., Barton, E. D., Figueiras, F. G., Hernandez-Leon, S., Roy, C., and Santos, A. M. P.: Oceanography and fisheries of the Canary current/Iberian Region of the eastern North Atlantic, in: The Sea, Vol. 14, Chap. 23, edited by: Robinson, A. R. and Brink, K. H., John Wiley and Sons, New York, 877-931, 2004.
2. Corrsin, S.: On the spectrum of isotropic temperature fluctuations in an isotropic turbulence, J. Appl. Phys., 22, 469-475, 1951.
3. Currie, W. J. S. and Roff, J. C.: Plankton are not Passive Tracers: Plankton in a Turbulent Environment, J. Geophys. Res., 111, C05S07, doi:10.1029/2005JC002967, 2006. (Pubitemid 44027636)
4. de Montera, L., Verrier, S., Mallet, C., and Barthès, L.: A passive scalar-like model for rain applicable up to storm scale, Atmos. Res., 98(1), 140-147, 2010.
5. Denman, K. L. and Platt, T.: The variance spectrum of phytoplankton in a turbulent ocean, J. Mar. Res., 34, 593-601, 1976.
6. Dubrulle, B.: Intermittency in fully developed turbulence: Log- Poisson statistics and generalized scale-covariance, Phys. Rev. Lett., 73, 959-963, 1994.
7. Fasham, M. J. R.: The application of some stochastic processes tothe study of plankton patchiness, in: Spatial Pattern in Plankton Communities, edited by: Steele, J. H., Springer, New York, 131-156, 1978.
8. Horwood, J. W.: Observations on spatial heterogeneity of surface chlorophyll in one and two dimensions, J. Mar. Biol. Assoc. UK, 58, 487-502, 1978.
9. Kolmogorov, A. N.: Local structure of turbulence in an incompressible liquid for very large Reynolds numbers, Proc. Acad. Sci. URSS., Geochem. Section, 30, 299-303, 1941.
10. Landau, L. D. and Lifshitz, E. M.: Fluid mechanics, 1st edn., Edt. MIR, Moscow, 1944.
11. Lathuilière, C., Echevin, V., and Levy, M.: Seasonal and intraseasonal surface chlorophyll-a variability along the northwest African coast, J. Geophys. Res, 113, C05007, doi:10.1029/2007JC004433, 2008.
12. Lavallée, D., Lovejoy, S., Schertzer, D., and Ladoy, P.: Nonlinear variability and landscape topography: analysis and simulation, in: Fractals in geography, edited by: de Cola, L. and Lam, N., Prentice-Hall, 171-205, 1993.
13. Lilley, M., Lovejoy, S., Strawbridge, K., and Schertzer, D.: 23/9 dimensional anisotropic scaling of passive admixtures using lidar aerosol data, Phys. Rev. E, 70, 036301-036307, 2004.
14. Lovejoy, S. and Schertzer, D.: Towards a new synthesis for atmospheric dynamics: space-time cascades, Atmos. Res., 96(1), 1- 52, 2010.
15. Lovejoy, S. and Schertzer, D.: Multifractals, cloud radiances and rain, J. Hydrol., 322, 59-88, 2006. (Pubitemid 44294324)
16. Lovejoy, S., Currie, W. J. S., Tessier, Y., Claereboudt, M. R., Roff, J. C., Bourget, E., and Schertzer, D.: Universal Multifractals and ocean patchiness: phytoplankton, physical fields and coastal heterogeneity, J. Plankton Res., 23, 117-141, 2001a. (Pubitemid 32235554)
17. Lovejoy, S., Schertzer, D., Tessier, Y., and Gaonac'h, H.: Multifractals and Resolution independent remote sensing algorithms: the example of ocean colour, Int. J. Remote Sens., 22, 1191-1234, 2001b. (Pubitemid 32418341)
18. Nieves, V., Llebot, C., Turiel, A., Solé, J., Garćia- Ladona, E., Estrada, M., and Blasco, D.: Common turbulent signature in sea surface temperature and chlorophyll maps, Geophys. Res. Lett., 34, L23602, doi:10.1029/2007GL030823, 2007. (Pubitemid 351246999)
19. Novikov, E. A. and Stewart, R.: Intermittency of turbulence and spectrum of fluctuations in energy-disspation, Izv. Akad. Nauk. SSSR, Ser. Geofiz., 3, 408-412, 1964.
20. Obukhov, A.: Structure of the temperature field in a turbulent flow, Izv. Akad. Nauk SSSR, 13, 55-69, 1949.
21. Panchev, S.: Random Functions and Turbulence, Pergamon Press, London, 1971.
22. Pecknold, S., Lovejoy, S., Schertzer, D., Hooge, C., and Malouin, J. F.: The simulation of universal multifractals, in: Cellular Automata: Prospects in astrophysical applications, edited by: Perdang, J. M. and Lejeune, A., World Scientific, 228-267, 1993.
23. Platt, T.: Local phytoplankton abundance and turbulence, Deep-Sea Res., 19, 183-187, 1972.
24. Pottier, C., Turiel, A., and Garçon, V.: Inferring missing data in satellite chlorophyll maps using turbulent cascading, Remote Sens. Environ., 112, 4242-4260, 2008.
25. Richardson, L. F.: Weather prediction by numerical processes, Cambridge University Press, Cambridge, 1922.
26. Schertzer, D. and Lovejoy S.: Physically based rain and cloud modeling by anisotropic, multiplicative turbulent cascades, J. Geophys. Res., 92, 9692-9714, 1987.
27. Schertzer, D. and Lovejoy, S.: Universal Multifractals do Exist!, J. Appl. Meteorol., 36, 1296-1303, 1997.
28. Schertzer, D., Lovejoy, S., and Hubert, P.: An Introduction to Stochastic Multifractal Fields, in: ISFMA Symposium on Environmental Science and Engineering with related Mathematical Problems, edited by: Ern, A. and Weiping, L., Higher Education Press, Beijing, 106-179, 2002.
29. Schmitt, F., Schertzer, D., Lovejoy, S., and Brunet, G.: Multifractal temperature and flux of temperature variance in fully developed turbulence, Europhys. Lett., 34, 195-200, 1996.
30. Schmitt, F. G.: About Boussinesq's turbulent viscosity hypothesis: historical remarks and a direct evaluation of its validity, C.R. Mecanique, 335, 617-627, 2007. (Pubitemid 47626108)
31. Seuront, L., Schmitt, F. G., Lagadeuc, Y., Schertzer, D., Lovejoy, S., and Frontier, S.: Universal Multifractal structure of phytoplankton biomass and temperature in the ocean, Geophys. Res. Lett., 23, 3591-3594, 1996a.
32. Seuront, L., Schmitt, F. G., Schertzer, D., Lagadeuc, Y., and Lovejoy, S.: Multifractal Analysis of Eulerian and Lagrangian Variability of Physical and Biological Fields in the Ocean, Nonlinear Proc. Geoph., 3, 236-246, 1996b. (Pubitemid 126601735)
33. Seuront, L., Schmitt, F. G., Lagadeuc, Y., Schertzer, D., and Lovejoy, S.: Universal Multifractal analysis as a tool to characterize multiscale intermittent patterns: example of phytoplankton distribution in turbulent coastal waters, J. Plankton Res., 21, 877-922, 1999. (Pubitemid 29326351)
34. Seuront, L. and Schmitt, F. G.: Eulerian and Lagrangian properties of biophysical intermittency in the ocean, Geophys. Res. Lett., 31, L03306, doi:10.1029/2003GL018185, 2004.
35. Seuront, L. and Schmitt, F. G.: Multiscaling statistical procedures for the exploration of biophysical couplings in intermittent turbulence; Part I. Theory, Deep-Sea Res. Pt. II, 52, 1308-1324, 2005a. (Pubitemid 40793629)
36. Seuront, L. and Schmitt, F. G.: Multiscaling statistical procedures for the exploration of biophysical couplings in intermittent turbulence; Part II. Application, Deep-Sea Res. Pt. II, 52, 1325-1343, 2005b. (Pubitemid 40793630)
37. Steele, J. H. and Henderson, E. W.: Spatial patterns in North Sea plankton, Deep-Sea Res., 26, 955-963, 1979. (Pubitemid 10441255)
38. She, Z.-S. and Lévěque, E.: Universal scaling laws in fullydeveloped turbulence, Phys. Rev. Lett., 72, 336-339, 1994. (Pubitemid 24975607)
39. Verrier, S., de Montera, L., Barthès, L., and Mallet, C.: Multifractal analysis of African monsoon rain fields, taking into account the zero rain-rate problem, J. Hydrol., 389(1-2), 111-120, 2010.
40. Yaglom, A. M.: The influence on the fluctuation in energy dissipation on the shape of turbulent characteristics in the inertial interval, Sov. Phys. Dokl., 2, 26-30, 1966.