Figure 3 Maintenance of the freshening rate of Iceland-Scotland Overflow Water (ISOW) on its long spreading-path to the Labrador Sea. This freshening rate is maintained by the ISOW entraining or mixing with waters that are themselves freshening at an even greater rate. This potential temperature–salinity diagram describes the mixing relations in the South Iceland basin between overflow, entrainment and LSW, and takes account of the changing character of each of these three end-members between the 1960s (filled rectangles) and late 1990s (open rectangles). Lines of equal density, referenced adiabatically to the surface and to 2,000 dbar, are shown as sigma0 and sigma2, respectively. Cold, dense water crossing the sill of the Faroe–Shetland channel at 800 m depth (FSC800) will initially entrain the warm salty resident water at around that depth as it passes westward along the Iceland–Faroe slope. That end–member (SEI700–800) is assigned the characteristics of water at 700–800 m depth from immediately above the permanent thermocline in this region. The product of any simple mixing between these two water-types would fall on the line connecting them, so cannot explain the relative freshness of the ISOW core (RRISOW) encountered further south against the lower flanks of the Reykjanes Ridge. That freshening can only derive from mixing with a component of LSW, the freshest end-member shown. (Note that because data to describe the changing LSW-derivative in the south Icelandic basin are sparse, we show the locus of that modified LSW (LSWIB), and that of LSW at source, the latter predated by 5 years.) The present analysis suggests that RR is formed in the proportions 43% FSC800, 31% SEI700-800, and 26% LSWIB, although the recipe is approximate and can be expected to change with time.