Abstract. The surface mass balance (SMB) of a glacier provides the link
between the glacier and the local climate. For this reason, it is
intensively studied and monitored. However, major efforts are required to
determine the point SMB at a sufficient number of locations to capture the
heterogeneity of the SMB pattern. Furthermore, because of the time-consuming
and costly nature of these measurements, detailed SMB measurements are
carried out on only a limited number of glaciers. In this study, we
investigate how to accurately determine the SMB in the ablation zone of
Vadret da Morteratsch and Vadret Pers (Engadin, Switzerland) using the
continuity equation method, based on the expression of conservation of mass
for glacier flow with constant density. An elaborate dataset (spanning the
2017–2020 period) of high-resolution data derived from unoccupied aerial
vehicle (UAV) measurements (surface elevation changes and surface
velocities) is combined with reconstructed ice thickness fields (based on
radar measurements). To determine the performance of the method, we compare
modelled SMB with measured SMB values at the position of stakes. Our results
indicate that with annual UAV surveys, it is possible to obtain SMB
estimates with a mean absolute error smaller than 0.5 m of ice
equivalent per year. Yet, our study demonstrates that to obtain these
accuracies, it is necessary to consider the ice flow over spatial scales of
several times the local ice thickness, accomplished in this study by
applying an exponential decay filter. Furthermore, our study highlights the
crucial importance of the ice thickness, which must be sufficiently well
known in order to accurately apply the method. The latter currently seems to
complicate the application of the continuity equation method to derive
detailed SMB patterns on regional to global scales.