“…The lack of subglacial topographic information limits calculation of ice flux to relatively few glaciers (e.g., Berthier et al, 2003;Vincent et al, 2009;Belart et al, 2017;Rabatel et al, 2018;Bisset et al, 2020;Young et al, 2020). Previous efforts to infer the spatial distribution of mass balance from ice flux have primarily focused on glacier tongues (e.g., Gudmundsson and Bauder, 1999;Kääb and Funk, 1999;Berthier et al, 2003;Vincent et al, 2009Vincent et al, , 2021Berthier and Vincent, 2012;Gao et al, 2020), where ice thickness, glaciological balance and ice velocity measurements are most numerous, density is assumed to be that of ice, and glacier geometry is simplest.…”