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We study the statistics of wind-driven open ocean currents. Using the Ekmanlayer model for the integrated currents, we investigate, analytically andnumerically, the relation between the wind distribution and its temporalcorrelations and the statistics of the open ocean currents. We find thattemporally long-range correlated wind results in currents whose statistics isproportional to the wind-stress statistics. On the other hand, short-rangecorrelated wind leads to Gaussian distributions of the current components,regardless of the stationary distribution of the winds, and therefore, to aRayleigh distribution of the current amplitude if the wind stress is isotropic.An interesting result is the existence of an optimum in the amplitude of theocean currents as a function of the correlation time of the wind stress. Theresults were validated using an oceanic general circulation model.

The relation between the statistics of open ocean currents and the temporal correlations of the wind