“…However, mixing models of meltwater contributions to the ocean typically assume a constant d 18 O w value for the LIS (À25 or À35‰; Aharon, 2006;Carlson, 2009;Carlson et al, 2007;Hill et al, 2006;Obbink et al, 2010), and do not attempt to incorporate the complex spatial heterogeneity in d 18 O w observed in modern continental ice sheets (Masson-Delmotte et al, 2008;Vinther et al, 2009). Attempts to estimate the oxygen isotope composition of parts of the LIS have used measurements of remnant ice such as the Barnes Ice Cap (Hooke, 1976;Hooke and Clausen, 1982), Pleistocene-age groundwater (Hooke and Clausen, 1982;Remenda et al, 1994) and preserved ice wedges (Kotler and Burn, 2000); as well as indirect proxies from subglacial carbonates (Refsnider et al, 2012(Refsnider et al, , 2014 and proglacial lakes (Birks et al, 2007;Buhay and Betcher, 1998;Last et al, 1994;Moore et al, 2000).…”