The procedure for performing a volumetric T-S or -S involves: (1) preparing a suitable data set, preferably one composed of relatively closely spaced hydrographic stations consisting of surface-to-bottom data with all coverage within a single season; (2) determining the area represented by each station; (3) partitioning the temperature and salinity fields into an array of T-S classes; (4) determining the depth interval within each T-S class; (5) multiplying the depth intervals by the area represented by each station to obtain the volumes of each class; and (6) summing these volumes over the desired region. See Swift (1986).
where is the vertical component of vorticity, f the Coriolis parameter, w the vertical velocity, the specific volume, and P the pressure. The first, or divergence, term on the right-hand-side dominates in large-scale motion. The second term represents the transformation of vorticity from the horizontal to the vertical component, and the third represents the direct generation of vorticity by horizontal density and pressure gradients.