Rapid development in computer power in the last decades has caused a revolution in computer modelling in geophysics, i.e. to gain deeper understanding of relatively complex natural processes and their interaction by mathematical modelling. An example of this is the process of global warming that leads to shrinking glaciers in Iceland. The reduced load causes crustal uplift and enhanced melting in the underlying mantle. Increasing magma production may lead to increasing volcanism but at the same time the magma storage capacity of the crust increases.
Recent publications of the Institute of Earth Sciences on this topic:
Hooper, A., B. G. Ofeigsson, F. Sigmundsson, B. Lund, H. Geirsson, P. Einarsson, E. Sturkell (2011). Increased capture of magma in the crust promoted by ice-cap retreat in Iceland. Nature Geoscience, doi:10.1038/NGEO1269.
Sigmundsson, F., V. Pinel, B. Lund, F. Albino, C. Pagli, H. Geirsson, E. Sturkell (2010). Climate effects on volcanism: Influence on magmatic systems of loading and unloading from ice mass variations with examples from Iceland, Phil. Trans. Roy. Soc. A, Special issue on climate forcing of geological and geomorphological hazards, Philosophical Transactions Royal Society A (2010) 368, 1-16, doi:10.1098/rsta.2010.0042
Albino, F., V. Pinel, F. Sigmundsson (2010). Influence of surface load variations on eruption likelihood: Application to two Icelandic subglacial volcanoes, Geophys. J. Int, 181, 1510-1524, doi: 10.1111/j.1365-246X.2010.04603.x
Pagli, C., and F. Sigmundsson (2008). Will present day glacier retreat increase volcanic activity? Stress induced by recent glacier retreat and its effect on magmatism at the Vatnajökull ice cap, Iceland. Geophys. Res. Lett., 35, L09304, doi:10.1029/2008GL033510.