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The geodetic method is widely used for assessing changes in the  mass balance of mountain glaciers. However, comparison of  repeated digital elevation models only provides a glacier volume  change that must be converted to a change in mass using  a density assumption or model. This study investigates the use  of a constant factor for the volume-to-mass conversion based on  a firn compaction model applied to simplified glacier geometries  with idealized climate forcing, and two glaciers with long-term  mass balance series. It is shown that the "density" of  geodetic volume change is not a constant factor and is  systematically smaller than ice density in most cases. This is  explained by the accretion/removal of low-density firn layers,  and changes in the firn density profile with positive/negative  mass balance. Assuming a value of 850 ± 60 kg m<sup>−3</sup>  to convert volume change to mass change is appropriate for  a wide range of conditions. For short time intervals  (≤3 yr), periods with limited volume change,  and/or changing mass balance gradients, the conversion factor  can however vary from 0–2000 kg m<sup>−3</sup> and beyond,  which requires caution when interpreting glacier mass changes  based on geodetic surveys

Density assumptions for converting geodetic glacier volume change to mass change