Abstract. The 26 km long tidewater glacier Tunabreen is the most
frequently surging glacier in Svalbard, with four documented surges in the
past 100 years. We model the evolution of this glacier with a minimal
glacier model (MGM), in which ice mechanics, calving, and surging are
parameterized. The model geometry consists of a flow band to which three
tributaries supply mass. The calving rate is set to the mean observed value
for the period 2012–2019 and kept constant. For the past 120 years, a
smooth equilibrium line altitude (ELA) history is reconstructed by finding
the best possible match between observed and simulated glacier length. There
is a modest correlation between this reconstructed ELA history and an ELA
history based on meteorological observations from Longyearbyen. Runs with and without surging show that the effect of surging on the
long-term glacier evolution is limited. Due to the low surface slope and
associated strong height–mass-balance feedback, Tunabreen is very sensitive
to changes in the ELA. For a constant future ELA equal to the reconstructed
value for 2020, the glacier front will retreat by 8 km during the coming
100 years. For an increase in the ELA of 2 m a−1, the retreat is
projected to be 13 km, and Tunabreen becomes a land-terminating glacier
around 2100. The calving parameter is an important quantity: increasing its value by 50 % has about the same effect as a 35 m increase in the ELA, with the
corresponding equilibrium glacier length being 17.5 km (as compared to 25.8 km in the reference state). Response times vary from 150 to 400 years, depending on the forcing and on
the state of the glacier (tidewater or land-terminating).