“…Fewer than 1% of glaciers worldwide have long-term mass-balance observations (WGMS, 2018) or observations of subglacial topography (GlaThiDa, 2019). 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.…”