Correction to: Nature Geoscience https://doi.org/10.1038/s41561-018-0262-x, published online17 December 2018.

In the version of this Review originally published, the author name ‘Arthington’ was misspelt in refs 216 and 218. Further, in the sentence that starts “Global warming has also been linked to potentially significant increases in the flow of Russia’s three great Artic rivers...”, ‘Artic’ should have been ‘Arctic’. These errors have now been corrected.