Stochastic marine ice sheet variability

It is well known that deterministic two-dimensional marine ice sheets can only be stable if the grounding line is positioned at a sufficiently steep, downward sloping bedrock. When bedrock conditions favour instabilities, multiple stable ice sheet profiles may occur. Here, we employ continuation tec...

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Bibliographic Details
Published in:Journal of Fluid Mechanics
Main Authors: Mulder, T. E., Baars, S., Wubs, F. W., Dijkstra, H. A.
Format: Article in Journal/Newspaper
Language:English
Published: Cambridge University Press (CUP) 2018
Subjects:
Online Access:http://dx.doi.org/10.1017/jfm.2018.148
https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S0022112018001489
Description
Summary:It is well known that deterministic two-dimensional marine ice sheets can only be stable if the grounding line is positioned at a sufficiently steep, downward sloping bedrock. When bedrock conditions favour instabilities, multiple stable ice sheet profiles may occur. Here, we employ continuation techniques to examine the sensitivity of a two-dimensional marine ice sheet to stochastic noise representing short time scale variability, either in the accumulation rate or in the sea level height. We find that in unique regimes, the position of the grounding line is most sensitive to noise in the accumulation rate and can explain excursions observed in field measurements. In the multiple equilibrium regime, there is a strong asymmetry in transition probabilities between the different ice sheet states, with a strong preference to switch to the branch with a steeper bedrock slope.