Fig. 2 Temporal variability of submesoscale characteristics. Local time series of submesoscale band (~10 – 50 km, see “ Methods ” ) root mean square (rms) relative vorticity (black), rms vertical velocity (blue), and vertical heat transport (positive: upward) at 40 m and 200 m depths (magenta and red, respectively). Dashed curves are the sinusoidal seasonal cycle fi t for relative vorticity. The locations are in the a high-latitude North Atlantic (57°N, 26°W), b Kuroshio Extension (38.1°N, 156°E), c eastern Indian Ocean (38.3°S, 118°E), d Agulhas Current (40°S, 18°E). The results here are averaged over a 1° × 1° square box in each location. The correlation between the time series suggests a strong dynamic connection between the different quantities. Submesoscale upward heat transport can reach a signi fi cant amplitude up to 500 – 1000 W/m 2 , consistent with values inferred from recent observations 10 , and is characterized by a strong intermittency (days to weeks) and a winter-peaked