The West Antarctic ice sheet (WAIS), with ice volume equivalent to 5 m of sea level1, has long been considered capable of past and future catastrophic collapse2, 3, 4. Today, the ice sheet is fringed by vulnerable floating ice shelves that buttress the fast flow of inland ice streams. Grounding lines are several hundred metres below sea level and the bed deepens upstream, raising the prospect of runaway retreat3, 5. Projections of future WAIS behaviour have been hampered by limited understanding of past variations and their underlying forcing mechanisms6, 7. Its variation since the Last Glacial Maximum is best known, with grounding lines advancing to the continental-shelf edges around 15 kyr ago before retreating to near-modern locations ...