Probability density functions (pdfs) of surface velocity and surface veloci
ty gradients in the ocean are calculated using altimetric data from the Top
ex/Poseidon satellite. These provide information about turbulence in a high
-Reynolds-number geophysical flow. :Both velocity pdfs and velocity gradien
t pdfs calculated over small regions are Gaussian but have more exponential
shapes as the size of the region increases. We develop a simple explanatio
n for the non-Gaussianity of velocity pdfs based on the inhomogeneity of ed
dy kinetic energy in the ocean.