In most regions of the ocean, the mixed layer depth (MLD) determined by the density stratification is the same as the isothermal layer depth (ILD). However, when the ILD is deeper than the MLD, a "barrier layer" (BL) exists (Lukas & Lindstrom, 1991) that can inhibit the vertical mixing of cold water from below into the mixed layer (Godfrey & Lindstrom, 1989) as well as trap the incoming solar radiation to a shallower surface layer. BLs can form for a variety of reasons: as a result of heavy rainfall, especially (but not only) under light wind conditions; the horizontal advection of a remotely formed BL; the tilting of near-vertical salinity contours due to vertical shear in horizontal currents; and the vertical stretching of the upper water column, assuming the pre-existence of a BL (