Probabilistic parameterisation of the surface mass balance–elevation feedback in regional climate model simulations of the Greenland ice sheet

We present a new parameterisation that relates surface mass balance (SMB: the sum of surface accumulation and surface ablation) to changes in surface elevation of the Greenland ice sheet (GrIS) for the MAR (Modèle Atmosphérique Régional: Fettweis, 2007) regional climate model. The motivation is to d...

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Main Authors: T. L. Edwards, X. Fettweis, O. Gagliardini, F. Gillet-Chaulet, H. Goelzer, J. M. Gregory, M. Hoffman, P. Huybrechts, A. J. Payne, M. Perego, S. Price, A. Quiquet, C. Ritz
Format: Article
Language:English
Published: Copernicus Publications 2014-01-01
Series:The Cryosphere
Online Access:http://www.the-cryosphere.net/8/181/2014/tc-8-181-2014.pdf
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author T. L. Edwards
X. Fettweis
O. Gagliardini
F. Gillet-Chaulet
H. Goelzer
J. M. Gregory
M. Hoffman
P. Huybrechts
A. J. Payne
M. Perego
S. Price
A. Quiquet
C. Ritz
author_facet T. L. Edwards
X. Fettweis
O. Gagliardini
F. Gillet-Chaulet
H. Goelzer
J. M. Gregory
M. Hoffman
P. Huybrechts
A. J. Payne
M. Perego
S. Price
A. Quiquet
C. Ritz
author_sort T. L. Edwards
collection DOAJ
description We present a new parameterisation that relates surface mass balance (SMB: the sum of surface accumulation and surface ablation) to changes in surface elevation of the Greenland ice sheet (GrIS) for the MAR (Modèle Atmosphérique Régional: Fettweis, 2007) regional climate model. The motivation is to dynamically adjust SMB as the GrIS evolves, allowing us to force ice sheet models with SMB simulated by MAR while incorporating the SMB–elevation feedback, without the substantial technical challenges of coupling ice sheet and climate models. This also allows us to assess the effect of elevation feedback uncertainty on the GrIS contribution to sea level, using multiple global climate and ice sheet models, without the need for additional, expensive MAR simulations. <br><br> We estimate this relationship separately below and above the equilibrium line altitude (ELA, separating negative and positive SMB) and for regions north and south of 77° N, from a set of MAR simulations in which we alter the ice sheet surface elevation. These give four "SMB lapse rates", gradients that relate SMB changes to elevation changes. We assess uncertainties within a Bayesian framework, estimating probability distributions for each gradient from which we present best estimates and credibility intervals (CI) that bound 95% of the probability. Below the ELA our gradient estimates are mostly positive, because SMB usually increases with elevation: 0.56 (95% CI: −0.22 to 1.33) kg m<sup>−3</sup> a<sup>−1</sup> for the north, and 1.91 (1.03 to 2.61) kg m<sup>−3</sup> a<sup>−1</sup> for the south. Above the ELA, the gradients are much smaller in magnitude: 0.09 (−0.03 to 0.23) kg m<sup>−3</sup> a<sup>−1</sup> in the north, and 0.07 (−0.07 to 0.59) kg m<sup>−3</sup> a<sup>−1</sup> in the south, because SMB can either increase or decrease in response to increased elevation. <br><br> Our statistically founded approach allows us to make probabilistic assessments for the effect of elevation feedback uncertainty on sea level projections (Edwards et al., 2014).
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spelling doaj.art-a6208acf7d4a486eb6dbb6703f3b2e412022-12-22T02:54:38ZengCopernicus PublicationsThe Cryosphere1994-04161994-04242014-01-018118119410.5194/tc-8-181-2014Probabilistic parameterisation of the surface mass balance–elevation feedback in regional climate model simulations of the Greenland ice sheetT. L. Edwards0X. Fettweis1O. Gagliardini2F. Gillet-Chaulet3H. Goelzer4J. M. Gregory5M. Hoffman6P. Huybrechts7A. J. Payne8M. Perego9S. Price10A. Quiquet11C. Ritz12Department of Geographical Sciences, University of Bristol, Bristol BS8 1SS, UKDepartment of Geography, University of Liege, Laboratory of Climatology (Bat. B11), Allée du 6 Août, 2, 4000 Liège, BelgiumLaboratoire de Glaciologie et Géophysique de l'Environnement, UJF &ndash; Grenoble 1/CNRS, 54, rue Molière BP 96, 38402 Saint-Martin-d'Hères Cedex, FranceLaboratoire de Glaciologie et Géophysique de l'Environnement, UJF &ndash; Grenoble 1/CNRS, 54, rue Molière BP 96, 38402 Saint-Martin-d'Hères Cedex, FranceEarth System Sciences & Departement Geografie, Vrije Universiteit Brussel, Pleinlaan 2, 1050 Brussels, BelgiumNCAS-Climate, Department of Meteorology, University of Reading, Reading, UKFluid Dynamics and Solid Mechanics Group, Los Alamos National Laboratory, T3 MS B216, Los Alamos, NM 87545, USAEarth System Sciences & Departement Geografie, Vrije Universiteit Brussel, Pleinlaan 2, 1050 Brussels, BelgiumDepartment of Geographical Sciences, University of Bristol, Bristol BS8 1SS, UKDepartment of Scientific Computing, Florida State University, 400 Dirac Science Library, Tallahassee, FL 32306, USAFluid Dynamics and Solid Mechanics Group, Los Alamos National Laboratory, T3 MS B216, Los Alamos, NM 87545, USALaboratoire de Glaciologie et Géophysique de l'Environnement, UJF &ndash; Grenoble 1/CNRS, 54, rue Molière BP 96, 38402 Saint-Martin-d'Hères Cedex, FranceLaboratoire de Glaciologie et Géophysique de l'Environnement, UJF &ndash; Grenoble 1/CNRS, 54, rue Molière BP 96, 38402 Saint-Martin-d'Hères Cedex, FranceWe present a new parameterisation that relates surface mass balance (SMB: the sum of surface accumulation and surface ablation) to changes in surface elevation of the Greenland ice sheet (GrIS) for the MAR (Modèle Atmosphérique Régional: Fettweis, 2007) regional climate model. The motivation is to dynamically adjust SMB as the GrIS evolves, allowing us to force ice sheet models with SMB simulated by MAR while incorporating the SMB–elevation feedback, without the substantial technical challenges of coupling ice sheet and climate models. This also allows us to assess the effect of elevation feedback uncertainty on the GrIS contribution to sea level, using multiple global climate and ice sheet models, without the need for additional, expensive MAR simulations. <br><br> We estimate this relationship separately below and above the equilibrium line altitude (ELA, separating negative and positive SMB) and for regions north and south of 77° N, from a set of MAR simulations in which we alter the ice sheet surface elevation. These give four "SMB lapse rates", gradients that relate SMB changes to elevation changes. We assess uncertainties within a Bayesian framework, estimating probability distributions for each gradient from which we present best estimates and credibility intervals (CI) that bound 95% of the probability. Below the ELA our gradient estimates are mostly positive, because SMB usually increases with elevation: 0.56 (95% CI: −0.22 to 1.33) kg m<sup>−3</sup> a<sup>−1</sup> for the north, and 1.91 (1.03 to 2.61) kg m<sup>−3</sup> a<sup>−1</sup> for the south. Above the ELA, the gradients are much smaller in magnitude: 0.09 (−0.03 to 0.23) kg m<sup>−3</sup> a<sup>−1</sup> in the north, and 0.07 (−0.07 to 0.59) kg m<sup>−3</sup> a<sup>−1</sup> in the south, because SMB can either increase or decrease in response to increased elevation. <br><br> Our statistically founded approach allows us to make probabilistic assessments for the effect of elevation feedback uncertainty on sea level projections (Edwards et al., 2014).http://www.the-cryosphere.net/8/181/2014/tc-8-181-2014.pdf
spellingShingle T. L. Edwards
X. Fettweis
O. Gagliardini
F. Gillet-Chaulet
H. Goelzer
J. M. Gregory
M. Hoffman
P. Huybrechts
A. J. Payne
M. Perego
S. Price
A. Quiquet
C. Ritz
Probabilistic parameterisation of the surface mass balance–elevation feedback in regional climate model simulations of the Greenland ice sheet
The Cryosphere
title Probabilistic parameterisation of the surface mass balance–elevation feedback in regional climate model simulations of the Greenland ice sheet
title_full Probabilistic parameterisation of the surface mass balance–elevation feedback in regional climate model simulations of the Greenland ice sheet
title_fullStr Probabilistic parameterisation of the surface mass balance–elevation feedback in regional climate model simulations of the Greenland ice sheet
title_full_unstemmed Probabilistic parameterisation of the surface mass balance–elevation feedback in regional climate model simulations of the Greenland ice sheet
title_short Probabilistic parameterisation of the surface mass balance–elevation feedback in regional climate model simulations of the Greenland ice sheet
title_sort probabilistic parameterisation of the surface mass balance elevation feedback in regional climate model simulations of the greenland ice sheet
url http://www.the-cryosphere.net/8/181/2014/tc-8-181-2014.pdf
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