Correction to: Nature https://doi.org/10.1038/s41586-019-1071-0Published online 08 April 2019

In this Letter, the regional mass changes for Iceland were erroneously computed from the temporal variability of the glaciological sample from the Low Latitudes (instead of Iceland). Nevertheless, long-term mass changes were correctly derived from geodetic values from Iceland. Recalculation based on the correct data results in a larger inter-annual variability for Iceland (with a minimum mass balance in the hydrological year 2009/10 instead of 2015/16), a larger mass loss over the full observation period from 1961 to 2016 (−3.7 gigatonnes (Gt) yr−1 instead of −2.4 Gt yr−1), and a smaller ice loss over the last decade from 2006 to 2016 (−5.3 Gt yr−1 instead of −7.5 Gt yr−1). At global levels, however, these corrections result in changes of less than 1% and are well within the error bars. As a consequence, this error did not affect any of the conclusions in the Letter. In Table 1, in the ‘06 Iceland (ISL)’ row, the specific mass change (m water equivalent (w.e.) yr−1) should have been −0.50 ± 0.37 (instead of −0.71 ± 0.43), and the mass change (Gt yr−1) should have been −5 ± 4 (instead of −8 ± 5); in the ‘Total, excl. GRL and ANT’ row, the specific mass change should have been −0.55 ± 0.04 (instead of −0.56 ± 0.04), and the mass change should have been −267 ± 19 (instead of −270 ± 19); and in the ‘Global total’ row, the specific mass change should have been −0.47 ± 0.20 (instead of −0.48 ± 0.20), and the mass change should have been −332 ± 144 (instead of −335 ± 144). These errors have all been corrected online. For regional comparisons with other studies, we provide a new version with corrected data files in the Zenodo repository (https://doi.org/10.5281/zenodo.3557199).