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The detection of regions in the ocean that are co- herent over an extended period of time is a fundamental prob- lem in many oceanic applications. For instance such regions are important for studying the transport of marine species and for the distribution of nutrients. In this study we demonstr ate the efficacy of transfer operators in detecting and analysin g such structures. We focus first on the detection of the Wed- dell and Ross Gyre for the four seasons spanning December 2003 - November 2004 within the 3D oceanic domain south of 30 ◦ S, and show distinct seasonal differences in both the structure and persistence of the gyres. Further, we demon- strate a new technique based on the discretised transfer op- erators to calculate the mean residence time of water within parts of the gyres and determine pathways of water leaving and entering the gyres.

Seasonal variability of the subpolar gyres in the Southern Ocean: a numerical investigation based on transfer operators