Correction to: Nature Geoscience https://doi.org/10.1038/ngeo2999, published online 7 August 2017.

In the version of this Article originally published, the symbols for ‘greater than’ and ‘less than or equal to’ were inverted in the equation that defines \(\sigma _{\mathrm{\Delta} z}\). The original (1) and corrected (2) versions of the equation are shown below. This error did not affect the calculation of the uncertainties. In addition, erroneous values that were a remnant of an earlier version of the authors’ work and higher than the final values calculated were reported for the uncertainties on ASTER estimates in Supplementary Table 4. Table 1 below shows the corrected values in bold font. These errors have now been corrected in the online versions of the Article.

$$\sigma _{\mathrm{\Delta} z} = \left\{ {\begin{array}{*{20}{l}} {\sigma _{\mathrm{\Delta} h}\sqrt {\frac{{A_{cor}}}{{5A}}} ,A < A_{cor}} \hfill \cr {\sigma _{\mathrm{\Delta} h},A \ge A_{cor}} \hfill \end{array}} \right.$$
(1)
$$\sigma _{\mathrm{\Delta} z} = \left\{ {\begin{array}{*{20}{l}} {\sigma _{\mathrm{\Delta} h}\sqrt {\frac{{A_{cor}}}{{5A}}} ,A > A_{cor}} \hfill \cr {\sigma _{\mathrm{\Delta} h},A \le A_{cor}} \hfill \end{array}} \right.$$
(2)
Table 1 Corrected error estimates for the date from this study in Supplementary Table 4