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A Quasi-analytical Ice-sheet Model for Climate Studies : Volume 10, Issue 4/5 (30/11/-0001)

By Oerlemans, J.

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Book Id: WPLBN0004019561
Format Type: PDF Article :
File Size: Pages 12
Reproduction Date: 2015

Title: A Quasi-analytical Ice-sheet Model for Climate Studies : Volume 10, Issue 4/5 (30/11/-0001)  
Author: Oerlemans, J.
Volume: Vol. 10, Issue 4/5
Language: English
Subject: Science, Nonlinear, Processes
Collections: Periodicals: Journal and Magazine Collection, Copernicus GmbH
Publication Date:
Publisher: Copernicus Gmbh, Göttingen, Germany
Member Page: Copernicus Publications


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Oerlemans, J. (-0001). A Quasi-analytical Ice-sheet Model for Climate Studies : Volume 10, Issue 4/5 (30/11/-0001). Retrieved from

Description: Institute for Marine and Atmospheric Research, Utrecht University Princetonplein 5, 3584 CC UTRECHT, The Netherlands. A simple quasi-analytical model is developed to study the response of ice-sheets to climate change. The model is axisymmetrical and rests on a bed with a constant slope. The mechanics are highly parameterised. The climatic conditions are represented by the altitude of the runoff line. Above the runoff line the accumulation rate is constant (but may depend on, for instance, the ice-sheet size), below the runoff line the balance gradient is constant. The ice-sheet may extend into the sea and can respond to changes in sea level. At the grounding line the ice velocity is assumed to be proportional to the water depth. For this set-up an explicit expression for the total mass budget of the ice-sheet is derived. To illustrate the properties and possibilities of the model, equilibrium states are analysed and the response to periodic forcing is studied as well. The coupling of mass balance and surface elevation of the ice-sheet leads to nonlinear behaviour and branching of the equilibrium solutions. The qualitative behaviour of the system is that of the cusp catastrophe. Nonlinear effects are more pronounced when the slope of the bed is smaller. A case is discussed in which two ice-sheets are coupled by making the altitude of the runoff line dependent on the total area of the two ice-sheets. On two continents, having a slightly different glaciation threshold, periodic forcing of the altitude of the runoff line is imposed. It is shown that in such a situation variations on a long time scale (two to three times the period of the forcing) are introduced. Finally the model is forced by the GISP d18O record for the last 120 000 years. For an appropriate choice of parameters the model simulates well the waxing and waning of the Laurentide, Fennoscandian and Barentsz ice-sheets.

A quasi-analytical ice-sheet model for climate studies


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