V. Artale, G. Boffetta, A. Celani, M. Cencini, and A. Vulpiani, Dispersion of passive tracers in closed basins: Beyond the diffusion coefficient, Physics of Fluids, vol.9, issue.11, pp.3162-3171, 1997.
DOI : 10.1063/1.869433

E. Aurell, G. Boffetta, A. Crisanti, G. Paladin, and A. Vulpiani, Predictability in the large: an extension of the concept of Lyapunov exponent, Journal of Physics A: Mathematical and General, vol.30, issue.1, pp.1-26, 1997.
DOI : 10.1088/0305-4470/30/1/003

F. J. Beron-vera, M. J. Olascoaga, and G. J. Goni, Oceanic mesoscale eddies as revealed by Lagrangian coherent structures, Geophysical Research Letters, vol.10, issue.12, pp.10-1029, 2008.
DOI : 10.1029/2008GL033957

D. A. Birch, Y. K. Tsand, Y. , and W. R. , Bounding biomass in the Fisher equation, Physical Review E, vol.75, issue.6, pp.75-066304, 2007.
DOI : 10.1103/PhysRevE.75.066304

G. Boffetta, G. Lacorata, G. Redaelli, and A. Vulpiani, Detecting barriers to transport: a review of different techniques, Physica D: Nonlinear Phenomena, vol.159, issue.1-2, pp.58-70, 2001.
DOI : 10.1016/S0167-2789(01)00330-X

S. J. Bograd, I. Schroeder, N. Sarkar, X. Qiu, W. J. Sydeman et al., Phenology of coastal upwelling in the California Current, Geophysical Research Letters, vol.33, issue.21, pp.10-1029, 2009.
DOI : 10.1029/2008GL035933

M. E. Carr, Estimation of potential productivity in Eastern Boundary Currents using remote sensing, Deep-Sea Res. II, pp.59-80, 2001.

M. E. Carr and E. J. Kearns, Production regimes in four Eastern Boundary Current Systems, Deep-Sea Res, II, vol.50, pp.3199-3221, 2003.

F. P. Chavez and J. R. Toggweiler, Physical estimates of global new production: The upwelling contribution, in: Upwelling in the Ocean: Modern Processes and Ancient Records, pp.313-320, 1995.

D. H. Cushing, F. Ovidio, V. Fernández, E. Hernández-garcía, C. López et al., Upwelling and fish production, in FAO Fisheries Technical Papers Mixing structures in the Mediterranean Sea from finitesize Lyapunov exponents, Comparison between Eulerian diagnostics and Finite-Size Lyapunov Exponents computed from Altimetry in the Algerian basin, Deep-Sea Res. I, pp.1-40, 1969.

G. Haller, Lagrangian structures and the rate of strain in a partition of two-dimensional turbulence, Physics of Fluids, vol.13, issue.11, pp.3365-3385, 2001.
DOI : 10.1063/1.1403336

J. Kang, W. Kim, K. Chang, and J. Noh, Distribution of plankton related to the mesoscale physical structure within the surface mixed layer in the southwestern East Sea, Korea, Journal of Plankton Research, vol.26, issue.12, pp.1515-1528, 2004.
DOI : 10.1093/plankt/fbh140

T. Koh and B. Legras, Hyperbolic lines and the stratospheric polar vortex, Chaos: An Interdisciplinary Journal of Nonlinear Science, vol.12, issue.2, pp.382-394, 2002.
DOI : 10.1063/1.1480442

Z. Lachkar, N. Gruber, G. K. Plattner, C. Lathuilì-ere, V. Echevin et al., A comparative study of biological productivity in Eastern Boundary Upwelling Systems using an Artificial Neural Network, Biogeosciences Discus Seasonal and intraseasonal surface chlorophyll-a variability along the northwest African coast, J. Geophys. Res, vol.113, pp.500710-1029, 2008.

Y. Lehahn, F. Ovidio, M. Lévy, and E. Heyfetz, Stirring of the northeast Atlantic spring bloom: A Lagrangian analysis based on multisatellite data, Journal of Geophysical Research, vol.14, issue.C4, pp.10-1029, 2007.
DOI : 10.1029/2006JC003927
URL : https://hal.archives-ouvertes.fr/hal-00770691

D. Mackas, M. Tsurumi, M. Galbraith, Y. , and D. , Zooplankton distribution and dynamics in a North Pacific Eddy of coastal origin: II. Mechanisms of eddy colonization by and retention of offshore species, Deep Sea Research Part II: Topical Studies in Oceanography, vol.52, issue.7-8, pp.1011-1035, 2005.
DOI : 10.1016/j.dsr2.2005.02.008

D. Mackas, P. T. Strub, A. C. Thomas, and V. Montecino, Eastern Ocean Boundaries Pan-Regional View, in: The Sea, pp.21-60, 2006.

J. Mcgillicuddy, A. Robinson, D. Siegel, H. Jannasch, R. Johnson et al., Influence of mesoscale eddies on new production in the Sargasso Sea, Nature, vol.394, issue.6690, pp.263-266, 1998.
DOI : 10.1038/28367

W. J. Mckiver and Z. Neufeld, Influence of turbulent advection on a phytoplankton ecosystem with nonuniform carrying capacity, Physical Review E, vol.79, issue.6, p.61902, 2009.
DOI : 10.1103/PhysRevE.79.061902

P. M. Monteiro, K. K. Liu, L. Atkinson, R. Quiñones, and L. Talaue-mcmanus, Carbon fluxes in the Benguela Upwelling system , in: Carbon and Nutrient Fluxes in Continental Margins: a Global Synthesis, 2009.

T. Moore, R. Matear, J. Marra, and L. Clementson, Phytoplankton variability off the Western Australian Coast: Mesoscale eddies and their role in cross-shelf exchange, Deep Sea Research Part II: Topical Studies in Oceanography, vol.54, issue.8-10, pp.943-960, 2007.
DOI : 10.1016/j.dsr2.2007.02.006

M. J. Olascoaga, F. J. Beron-vera, L. E. Brand, and H. Kocak, Tracing the early development of harmful algal blooms with the aid of Lagrangian coherent structure, J. Geophys. Res, pp.10-1029, 2008.

A. Oschlies and V. Garçon, Eddy-induced enhancement of priwww .nonlin-processes-geophys.net, Nonlin. Processes Geophys, vol.16557, issue.16, pp.557-568, 2009.

V. Rossi, Surface mixing and biological activity in the four Eastern Boundary Upwelling Systems mary production in a model of the North Atlantic Ocean, Nature, vol.394, pp.266-268, 1998.

R. W. Owen and R. W. Owen, Fronts and Eddies in the sea: mechanisms, interactions and biological Effects, in: Fronts and Eddies in the Sea, pp.197-233, 1981.

B. Patti, C. Guisande, A. R. Vergara, I. Riveiro, A. Barreiro et al., Factors responsible for the differences in satellite-based chlorophyll a concentration between the major global upwelling areas, Estuarine, Coastal and Shelf Science, vol.76, issue.4, pp.775-786, 2008.
DOI : 10.1016/j.ecss.2007.08.005

C. Pasquero, A. Bracco, and A. Provenzale, Impact of the spatiotemporal variability of the nutrient flux on primary productivity in the ocean, Journal of Geophysical Research, vol.31, issue.C6, pp.10-1029, 2005.
DOI : 10.1029/2004JC002738

D. Pauly and V. Christensen, Primary production required to sustain global fisheries, Nature, vol.374, issue.6519, pp.255-257, 1995.
DOI : 10.1038/374255a0

M. Rio and F. Hernández, A mean dynamic topography computed over the world ocean from altimetry, in situ measurements, and a geoid model, Journal of Geophysical Research, vol.16, issue.4, pp.10-1029, 2004.
DOI : 10.1029/2003JC002226

V. Rossi, C. López, J. Sudre, E. Hernández-garcía, and V. Garçon, Comparative study of mixing and biological activity of the Benguela and Canary upwelling systems, Geophysical Research Letters, vol.36, issue.3, pp.10-1029, 2008.
DOI : 10.1029/2008GL033610
URL : https://hal.archives-ouvertes.fr/hal-00282578

J. H. Ryther, Photosynthesis and Fish Production in the Sea, Science, vol.166, issue.3901, pp.72-76, 1969.
DOI : 10.1126/science.166.3901.72

S. C. Shadden, F. Lekien, and J. E. Marsden, Definition and properties of Lagrangian coherent structures from finite-time Lyapunov exponents in two-dimensional aperiodic??flows, Physica D: Nonlinear Phenomena, vol.212, issue.3-4, pp.3-4, 2005.
DOI : 10.1016/j.physd.2005.10.007

J. Sudre and R. Morrow, Global surface currents: a high-resolution product for investigating ocean dynamics, Ocean Dynamics, vol.33, issue.C1, pp.101-118, 2008.
DOI : 10.1007/s10236-008-0134-9
URL : https://hal.archives-ouvertes.fr/hal-00282576

T. Tél, A. De-moura, C. Grebogi, and G. Karolyi, Chemical and biological activity in open flows: A dynamical system approach, Physics Reports, vol.413, issue.2-3, pp.91-196, 2005.
DOI : 10.1016/j.physrep.2005.01.005

C. A. Thomas, T. P. Strub, M. E. Carr, and R. Weatherbee, Comparisons of chlorophyll variability between the four major global eastern boundary currents, International Journal of Remote Sensing, vol.99, issue.7-8, pp.1443-1447, 2004.
DOI : 10.1080/01431160310001592418

D. W. Waugh and E. R. Abraham, Stirring in the global surface ocean, Geophysical Research Letters, vol.109, issue.19, pp.10-1029, 2008.
DOI : 10.1029/2008GL035526