The analysis of the Viking IRTM data led to the conclusion that the surface layer of the Mars south polar layered deposits has very low thermal inertia. This is consistent with the layered deposits being mantled by a layer consisting of very fine dust. Analysis of the heat and mass transport through such a layer allows us to estimate the minimum thickness of a dust mantle required to guarantee water ice stability beneath it. We find that if the thermal inertia is as low as 100Jm - 2 s - 1 / 2 K - 1 and the dust layer is composed of particles of about 10μm, then a 5 mm thick layer is sufficient to keep the ground water ice stable on at least seasonal time scales.