These DEMs were acquired from Midre Lovénbreen on 9 August 2003 and 5 July 2005. They are provided here in Geotiff format (UTM projection, zone 33, WGS84), with a grid spacing of 2 m. Airborne data collection was carried out by the UK Natural Environment Research Council (NERC) Airborne Remote Sensing Facility and the University of Cambridge Unit for Landscape Modelling. The data were acquired using an Optech ALTM3033 LiDAR system flying on a Dornier Do228 aircraft. Subsequent processing to generate the gridded data was performed by the authors.