Marine ice sheets

Schematic of a marine ice sheet. \(H\) is the ice thickness, \(B\) is the bed elevation (negative below sea level), \(X_g\) is the location of the the grounding line, \(\rho_i\) is the ice density and \(\rho_w\) is the water density.

Marine-based ice sheets are ice sheets that reside on bedrock below sea level. If ice thins and pressure at its base is the same as the seawater pressure at the bedrock, it starts to float, forming an ice shelf. The location where ice goes afloat is called the grounding line. Its position is determined by the Archimedes principle – the ice thickness at the grounding line is about 10% larger than the bedrock depth. This 10% difference is because the ice density is roughly 10% less than the water density.

Back in the early 1970s, Hans Weertman realized that such ice sheets behave very differently from those that rest on bedrock above sea level. He considered an idealized ice sheet (similar to one shown on the right) with a flat bed underneath it (flat before the ice sheet was placed on it) and asked the following question: If climate never changed, can such an ice sheet exist? Making many assumptions, he concluded that if the ice sheet bed slopes towards its interior, the ice sheet is “inherently unstable” (Weertman, 1974). Weertman’s “inherent instability” conclusion became known as the Marine Ice Sheet Instability hypothesis or MISI. Because the bedrock under the West Antarctic Ice Sheet slopes towards its interior, the retreat of its grounding lines is typically attributed to MISI. Because the retreat of the grounding line is accompanied by the loss of the grounded ice whose weight is supported by the bedrock, it results in a rising sea level. Consequently, the question whether such a retreat is unstoppable or not is directly related to a question of how much sea level will increase.

Ice-sheet realistic conditions do not support MISI

Together with Marianne Haseloff and Duncan Wingham we have considered idealized marine ice sheets but whose conditions are more similar to the Earth’s ice sheets. For example, if ice shelves flow into embayments restricted by rocks that provide shear and impeed the ice flow, MISI does not hold any more, and such laterally confined marine ice sheets can exist on bedrock deepening into their interior under constant climate (Haselof & Sergienko, 2018; 2022; Sergienko, 2022). We have arrived to the same conclusion for the ice sheets that flow over bed with sediments that can deform easily and do not provide resistance to ice flow, such ice sheets can be stable or unstable irrespective of the direction of deepening of the bed (Sergienko & Wingham, 2019). If instead of a flat bed considered by Weertman (1974), a marine ice sheet flows over undulating bed topography, it could be stable on the overdeepening bedrock (Sergienko & Wingham, 2022). If interactions between marine ice sheets and the atmosphere, ocean or lithosphere include feedbacks than it is not possible to determine whether such ice sheets could exist under climate conditions that never change (Sergienko, 2022).

The question Weertman (1974) asked was about a marine ice sheet in a climate that never changed. The Earth’s climate changes on many time scales ranging from hundreds of thousands of years due to changes in the Earth’s orbit to few years due to the internal climate variability, such as ENSO, for example. If the climate conditions change, marine ice sheets and their grounding lines can behave in many different ways - advancing, retreating or oscillating. If the climate conditions change, it is no longer possible to describe marine ice sheets as “stable” or “unstable” (Sergienko & Haseloff, 2023) and the grounding line advance and retreat is caused by the changes in climate conditions (Sergienko & Wingham, 2024).

If you like to know more about physics behind MISI, please take a look at a recording of a seminar I presented at the International Glaciological Society seminar series back in 2021.