“…This is due to the fact that observations only provide limited views of the three-dimensional (3-D) ocean state, primarily in terms of resolution and coverage, but also reflects our incomplete understanding of boundary layer dynamics and imperfect or missing parameterization of processes occurring at the unresolved scales, such as turbulent mixing and diffusion or submesoscale (Bachman et al, 2016(Bachman et al, , 2017Canuto, 2015;Fox-Kemper and Ferrari, 2008;Hamlington et al, 2014;Li et al, 2017). 1977;Hoskins et al, 1978Hoskins et al, , 2003, a well-known diagnostic tool that has been applied to the data collected during several field campaigns Barcel o-Llull et al, 2017;Buongiorno Nardelli et al, 2001;Gomis et al, 2001;Naveira Garabato et al, 2001;Pollard & Regier, 1992;Rodr ıguez et al, 2001;Rudnick, 1996;Ruiz et al, 2014;Tintor e et al, 1991). Oceanographic surveys, however, suffer from the difficulty to guarantee both high spatial resolution and synopticity.…”