“…An approximate mass conservation was assumed within each of the eight layers, while an approximate salt conservation was assumed within the lower seven layers. By allowing small mass and salt unbalances in each layer, an optimum velocity was obtained at the reference level, which was set at a depth of 2000 m for sections OK, ASUKA, and 137E, 700 m for sections PN and TK, and at sea bottom if the water depth was shallower than a depth of 2000 m or 700 m. The optimum reference level for the inverse method to calculate the absolute geostrophic velocity was suggested to be 2000 dbar in the region southeast of the Ryukyu Islands (Yuan et al, 1998;Zhu et al, 2008) and in the Kuroshio region south of Japan (Kaneko et al, 2001), and to be 700 dbar at sections PN and TK (Guo et al, 2012;Wei et al, 2013). After obtaining the velocity at the reference level, the absolute geostrophic velocity normal to the line connecting the two stations at one-meter intervals in the vertical direction was obtained from the thermal winds relation.…”