Fig. 3
From: Vertical land motion is underestimated in sea-level projections from the Oka estuary, northern Spain

Summary of the late Holocene relative sea-level (RSL) misfit \(\chi \)-statistic. (A) Late Holocene RSL misfit \(\chi \)-statistic with the two glacial isostatic adjustment models ICE-6G_C (HetML140) and ANU-ICE (HetML140) at 13 regions along the Atlantic coast of Europe. (B) The inset shows the derived vertical land motion (VLM) rate of − 0.88 ± 0.03 mm/yr via linear regression using late Holocene RSL residuals with ICE-6G_C model at region 8 and considering the geoid contribution from ICE-6G_C (HetML140) as uncertainty in VLM rate derivation. The shaded boxes in the inset indicate the upper and lower bounds of the RSL residual. The misfit \(\chi \)-statistics after late Holocene RSL data correction of a VLM rate of − 0.88 ± 0.03 mm/yr at region 8 are indicated by bars with dashed outlines. After the VLM correction, the misfit \(\chi \)-statistics for ICE-6G_C at region 8 (Oka estuary) declined by ~ 80% from 4.7 to 0.9.