Articles | Volume 9, issue 2
https://doi.org/10.5194/tc-9-603-2015
© Author(s) 2015. This work is distributed under
the Creative Commons Attribution 3.0 License.
the Creative Commons Attribution 3.0 License.
https://doi.org/10.5194/tc-9-603-2015
© Author(s) 2015. This work is distributed under
the Creative Commons Attribution 3.0 License.
the Creative Commons Attribution 3.0 License.
Research article
| 
01 Apr 2015
Research article |
| 01 Apr 2015
Self-regulation of ice flow varies across the ablation area in south-west Greenland
R. S. W. van de Wal
CORRESPONDING AUTHOR
Institute for Marine and Atmospheric research Utrecht, Utrecht University, the Netherlands
C. J. P. P. Smeets
Institute for Marine and Atmospheric research Utrecht, Utrecht University, the Netherlands
W. Boot
Institute for Marine and Atmospheric research Utrecht, Utrecht University, the Netherlands
M. Stoffelen
Institute for Marine and Atmospheric research Utrecht, Utrecht University, the Netherlands
R. van Kampen
Institute for Marine and Atmospheric research Utrecht, Utrecht University, the Netherlands
S. H. Doyle
Centre for Glaciology, Department of Geography and Earth Sciences, Aberystwyth University, Aberystwyth, UK
F. Wilhelms
Alfred Wegener Institute, Bremerhaven, Germany
M. R. van den Broeke
Institute for Marine and Atmospheric research Utrecht, Utrecht University, the Netherlands
C. H. Reijmer
Institute for Marine and Atmospheric research Utrecht, Utrecht University, the Netherlands
J. Oerlemans
Institute for Marine and Atmospheric research Utrecht, Utrecht University, the Netherlands
A. Hubbard
Centre for Glaciology, Department of Geography and Earth Sciences, Aberystwyth University, Aberystwyth, UK
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Cited
75 citations as recorded by crossref.
- Relationship Between Greenland Ice Sheet Surface Speed and Modeled Effective Pressure L. Stevens et al. 10.1029/2017JF004581
- Seasonal Patterns of Greenland Ice Velocity From Sentinel‐1 SAR Data Linked to Runoff A. Solgaard et al. 10.1029/2022GL100343
- Dual-satellite (Sentinel-2 and Landsat 8) remote sensing of supraglacial lakes in Greenland A. Williamson et al. 10.5194/tc-12-3045-2018
- Intercomparison of surface meltwater routing models for the Greenland ice sheet and influence on subglacial effective pressures K. Yang et al. 10.5194/tc-14-3349-2020
- Seasonal evolution of basal environment conditions of Russell sector, West Greenland, inverted from satellite observation of surface flow A. Derkacheva et al. 10.5194/tc-15-5675-2021
- Physical Conditions of Fast Glacier Flow: 1. Measurements From Boreholes Drilled to the Bed of Store Glacier, West Greenland S. Doyle et al. 10.1002/2017JF004529
- Seasonal Variations in the Flow of Land-Terminating Glaciers in Central-West Greenland Using Sentinel-1 Imagery A. Lemos et al. 10.3390/rs10121878
- Seismic evidence for complex sedimentary control of Greenland Ice Sheet flow B. Kulessa et al. 10.1126/sciadv.1603071
- Challenges in predicting Greenland supraglacial lake drainages at the regional scale K. Poinar & L. Andrews 10.5194/tc-15-1455-2021
- Extensive winter subglacial water storage beneath the Greenland Ice Sheet W. Chu et al. 10.1002/2016GL071538
- Deformation motion tracks sliding changes through summer, western Greenland N. Maier et al. 10.1017/jog.2021.87
- Ice velocity of Jakobshavn Isbræ, Petermann Glacier, Nioghalvfjerdsfjorden, and Zachariæ Isstrøm, 2015–2017, from Sentinel 1-a/b SAR imagery A. Lemos et al. 10.5194/tc-12-2087-2018
- Accelerating Subglacial Hydrology for Ice Sheet Models With Deep Learning Methods V. Verjans & A. Robel 10.1029/2023GL105281
- Supraglacial lake expansion, intensified lake drainage frequency, and first observation of coupled lake drainage, during 1985–2020 at Ryder Glacier, Northern Greenland J. Otto et al. 10.3389/feart.2022.978137
- Detecting seasonal ice dynamics in satellite images C. Greene et al. 10.5194/tc-14-4365-2020
- Physical Conditions of Fast Glacier Flow: 2. Variable Extent of Anisotropic Ice and Soft Basal Sediment From Seismic Reflection Data Acquired on Store Glacier, West Greenland C. Hofstede et al. 10.1002/2017JF004297
- Moulin Volumes Regulate Subglacial Water Pressure on the Greenland Ice Sheet M. Covington et al. 10.1029/2020GL088901
- The organization of subglacial drainage during the demise of the Finnish Lake District Ice Lobe A. Hepburn et al. 10.5194/tc-18-4873-2024
- Greenland subglacial drainage evolution regulated by weakly connected regions of the bed M. Hoffman et al. 10.1038/ncomms13903
- The K-transect in west Greenland: Automatic weather station data (1993–2016) P. Smeets et al. 10.1080/15230430.2017.1420954
- Surface melt‐driven seasonal behaviour (englacial and subglacial) from a soft‐bedded temperate glacier recorded by in situ wireless probes J. Hart et al. 10.1002/esp.4611
- Decadal slowdown of a land-terminating sector of the Greenland Ice Sheet despite warming A. Tedstone et al. 10.1038/nature15722
- Dynamic Response of a High Arctic Glacier to Melt and Runoff Variations W. van Pelt et al. 10.1029/2018GL077252
- Rapid development and persistence of efficient subglacial drainage under 900 m-thick ice in Greenland D. Chandler et al. 10.1016/j.epsl.2021.116982
- Incorporating modelled subglacial hydrology into inversions for basal drag C. Koziol & N. Arnold 10.5194/tc-11-2783-2017
- Physical Conditions of Fast Glacier Flow: 3. Seasonally‐Evolving Ice Deformation on Store Glacier, West Greenland T. Young et al. 10.1029/2018JF004821
- Controls on the early Holocene collapse of the Bothnian Sea Ice Stream C. Clason et al. 10.1002/2016JF004050
- SHMIP The subglacial hydrology model intercomparison Project B. DE FLEURIAN et al. 10.1017/jog.2018.78
- Impact of runoff temporal distribution on ice dynamics B. de Fleurian et al. 10.5194/tc-16-2265-2022
- Quantifying supraglacial meltwater pathways in the Paakitsoq region, West Greenland C. KOZIOL et al. 10.1017/jog.2017.5
- Greenland Ice Sheet flow response to runoff variability L. Stevens et al. 10.1002/2016GL070414
- A model for interaction between conduits and surrounding hydraulically connected distributed drainage based on geomorphological evidence from Keewatin, Canada E. Lewington et al. 10.5194/tc-14-2949-2020
- Coupled modelling of subglacial hydrology and calving-front melting at Store Glacier, West Greenland S. Cook et al. 10.5194/tc-14-905-2020
- The cooling signature of basal crevasses in a hard-bedded region of the Greenland Ice Sheet I. McDowell et al. 10.5194/tc-15-897-2021
- Modelling seasonal meltwater forcing of the velocity of land-terminating margins of the Greenland Ice Sheet C. Koziol & N. Arnold 10.5194/tc-12-971-2018
- Short- and long-term variability of the Antarctic and Greenland ice sheets E. Hanna et al. 10.1038/s43017-023-00509-7
- Theoretical, contemporary observational and palaeo-perspectives on ice sheet hydrology: Processes and products S. Greenwood et al. 10.1016/j.earscirev.2016.01.010
- A rapidly retreating, marine-terminating glacier's modeled response to perturbations in basal traction J. Downs & J. Johnson 10.1017/jog.2022.5
- Spatial Patterns of Summer Speedup on South Central Alaska Glaciers W. Armstrong et al. 10.1002/2017GL074370
- The seasonal evolution of subglacial drainage pathways beneath a soft-bedded glacier J. Hart et al. 10.1038/s43247-022-00484-9
- The Subglacial Lake That Wasn't There: Improved Interpretation From Seismic Data Reveals a Sediment Bedform at Isunnguata Sermia C. Hofstede et al. 10.1029/2022JF006850
- Inland advance of supraglacial lakes in north-west Greenland under recent climatic warming L. Gledhill & A. Williamson 10.1017/aog.2017.31
- Ice‐margin and meltwater dynamics during the mid‐Holocene in the Kangerlussuaq area of west Greenland J. Carrivick et al. 10.1111/bor.12199
- Prototype wireless sensors for monitoring subsurface processes in snow and firn E. BAGSHAW et al. 10.1017/jog.2018.76
- Supraglacial River Forcing of Subglacial Water Storage and Diurnal Ice Sheet Motion L. Smith et al. 10.1029/2020GL091418
- Moulin density controls drainage development beneath the Greenland ice sheet A. Banwell et al. 10.1002/2015JF003801
- Seasonal Evolution of the Subglacial Hydrologic System Modified by Supraglacial Lake Drainage in Western Greenland L. Andrews et al. 10.1029/2017JF004585
- Generation and fate of basal meltwater during winter, western Greenland Ice Sheet J. Harper et al. 10.5194/tc-15-5409-2021
- Wintertime Supraglacial Lake Drainage Cascade Triggers Large‐Scale Ice Flow Response in Greenland N. Maier et al. 10.1029/2022GL102251
- Complex multi-decadal ice dynamical change inland of marine-terminating glaciers on the Greenland Ice Sheet J. Williams et al. 10.1017/jog.2021.31
- Dynamic Hydraulic Conductivity Reconciles Mismatch Between Modeled and Observed Winter Subglacial Water Pressure J. Downs et al. 10.1002/2017JF004522
- Impact of seasonal fluctuations of ice velocity on decadal trends observed in Southwest Greenland P. Halas et al. 10.1016/j.rse.2022.113419
- Amplified melt and flow of the Greenland ice sheet driven by late-summer cyclonic rainfall S. Doyle et al. 10.1038/ngeo2482
- Variations in hydraulic efficiency of the subglacial drainage landsystem control surging and streaming regimes of outlet glaciers É. Ravier et al. 10.1017/jog.2022.107
- Improved representation of laminar and turbulent sheet flow in subglacial drainage models T. Hill et al. 10.1017/jog.2023.103
- The K-transect on the western Greenland Ice Sheet: Surface energy balance (2003–2016) P. Kuipers Munneke et al. 10.1080/15230430.2017.1420952
- Greenland Ice Sheet late-season melt: investigating multiscale drivers of K-transect events T. Ballinger et al. 10.5194/tc-13-2241-2019
- Observations of Buried Lake Drainage on the Antarctic Ice Sheet D. Dunmire et al. 10.1029/2020GL087970
- Extraordinary runoff from the Greenland ice sheet in 2012 amplified by hypsometry and depleted firn retention A. Mikkelsen et al. 10.5194/tc-10-1147-2016
- Direct measurements of meltwater runoff on the Greenland ice sheet surface L. Smith et al. 10.1073/pnas.1707743114
- The Influence of Hydrology on the Dynamics of Land-Terminating Sectors of the Greenland Ice Sheet B. Davison et al. 10.3389/feart.2019.00010
- Subglacial water drainage, storage, and piracy beneath the Greenland ice sheet K. Lindbäck et al. 10.1002/2015GL065393
- Subglacial Drainage Evolution Modulates Seasonal Ice Flow Variability of Three Tidewater Glaciers in Southwest Greenland B. Davison et al. 10.1029/2019JF005492
- Surge dynamics of Shisper Glacier revealed by time-series correlation of optical satellite images and their utility to substantiate a generalized sliding law F. Beaud et al. 10.5194/tc-16-3123-2022
- A new surface meltwater routing model for use on the Greenland Ice Sheet surface K. Yang et al. 10.5194/tc-12-3791-2018
- A modeling study of the effect of runoff variability on the effective pressure beneath Russell Glacier, West Greenland B. de Fleurian et al. 10.1002/2016JF003842
- Recent Advances in Our Understanding of the Role of Meltwater in the Greenland Ice Sheet System P. Nienow et al. 10.1007/s40641-017-0083-9
- Atmospheric drivers of melt-related ice speed-up events on the Russell Glacier in southwest Greenland T. Schmid et al. 10.5194/tc-17-3933-2023
- Reduced basal motion responsible for 50 years of declining ice velocities on Athabasca Glacier D. Polashenski et al. 10.1017/jog.2024.51
- Modeling of subglacial hydrological development following rapid supraglacial lake drainage C. Dow et al. 10.1002/2014JF003333
- Measured basal water pressure variability of the western Greenland Ice Sheet: Implications for hydraulic potential P. Wright et al. 10.1002/2016JF003819
- Dynamic response of the Greenland ice sheet to recent cooling J. Williams et al. 10.1038/s41598-020-58355-2
- Considering thermal‐viscous collapse of the Greenland ice sheet W. Colgan et al. 10.1002/2015EF000301
- Threshold response to melt drives large-scale bed weakening in Greenland N. Maier et al. 10.1038/s41586-022-04927-3
- Declining Basal Motion Dominates the Long‐Term Slowing of Athabasca Glacier, Canada W. Armstrong et al. 10.1029/2021JF006439
75 citations as recorded by crossref.
- Relationship Between Greenland Ice Sheet Surface Speed and Modeled Effective Pressure L. Stevens et al. 10.1029/2017JF004581
- Seasonal Patterns of Greenland Ice Velocity From Sentinel‐1 SAR Data Linked to Runoff A. Solgaard et al. 10.1029/2022GL100343
- Dual-satellite (Sentinel-2 and Landsat 8) remote sensing of supraglacial lakes in Greenland A. Williamson et al. 10.5194/tc-12-3045-2018
- Intercomparison of surface meltwater routing models for the Greenland ice sheet and influence on subglacial effective pressures K. Yang et al. 10.5194/tc-14-3349-2020
- Seasonal evolution of basal environment conditions of Russell sector, West Greenland, inverted from satellite observation of surface flow A. Derkacheva et al. 10.5194/tc-15-5675-2021
- Physical Conditions of Fast Glacier Flow: 1. Measurements From Boreholes Drilled to the Bed of Store Glacier, West Greenland S. Doyle et al. 10.1002/2017JF004529
- Seasonal Variations in the Flow of Land-Terminating Glaciers in Central-West Greenland Using Sentinel-1 Imagery A. Lemos et al. 10.3390/rs10121878
- Seismic evidence for complex sedimentary control of Greenland Ice Sheet flow B. Kulessa et al. 10.1126/sciadv.1603071
- Challenges in predicting Greenland supraglacial lake drainages at the regional scale K. Poinar & L. Andrews 10.5194/tc-15-1455-2021
- Extensive winter subglacial water storage beneath the Greenland Ice Sheet W. Chu et al. 10.1002/2016GL071538
- Deformation motion tracks sliding changes through summer, western Greenland N. Maier et al. 10.1017/jog.2021.87
- Ice velocity of Jakobshavn Isbræ, Petermann Glacier, Nioghalvfjerdsfjorden, and Zachariæ Isstrøm, 2015–2017, from Sentinel 1-a/b SAR imagery A. Lemos et al. 10.5194/tc-12-2087-2018
- Accelerating Subglacial Hydrology for Ice Sheet Models With Deep Learning Methods V. Verjans & A. Robel 10.1029/2023GL105281
- Supraglacial lake expansion, intensified lake drainage frequency, and first observation of coupled lake drainage, during 1985–2020 at Ryder Glacier, Northern Greenland J. Otto et al. 10.3389/feart.2022.978137
- Detecting seasonal ice dynamics in satellite images C. Greene et al. 10.5194/tc-14-4365-2020
- Physical Conditions of Fast Glacier Flow: 2. Variable Extent of Anisotropic Ice and Soft Basal Sediment From Seismic Reflection Data Acquired on Store Glacier, West Greenland C. Hofstede et al. 10.1002/2017JF004297
- Moulin Volumes Regulate Subglacial Water Pressure on the Greenland Ice Sheet M. Covington et al. 10.1029/2020GL088901
- The organization of subglacial drainage during the demise of the Finnish Lake District Ice Lobe A. Hepburn et al. 10.5194/tc-18-4873-2024
- Greenland subglacial drainage evolution regulated by weakly connected regions of the bed M. Hoffman et al. 10.1038/ncomms13903
- The K-transect in west Greenland: Automatic weather station data (1993–2016) P. Smeets et al. 10.1080/15230430.2017.1420954
- Surface melt‐driven seasonal behaviour (englacial and subglacial) from a soft‐bedded temperate glacier recorded by in situ wireless probes J. Hart et al. 10.1002/esp.4611
- Decadal slowdown of a land-terminating sector of the Greenland Ice Sheet despite warming A. Tedstone et al. 10.1038/nature15722
- Dynamic Response of a High Arctic Glacier to Melt and Runoff Variations W. van Pelt et al. 10.1029/2018GL077252
- Rapid development and persistence of efficient subglacial drainage under 900 m-thick ice in Greenland D. Chandler et al. 10.1016/j.epsl.2021.116982
- Incorporating modelled subglacial hydrology into inversions for basal drag C. Koziol & N. Arnold 10.5194/tc-11-2783-2017
- Physical Conditions of Fast Glacier Flow: 3. Seasonally‐Evolving Ice Deformation on Store Glacier, West Greenland T. Young et al. 10.1029/2018JF004821
- Controls on the early Holocene collapse of the Bothnian Sea Ice Stream C. Clason et al. 10.1002/2016JF004050
- SHMIP The subglacial hydrology model intercomparison Project B. DE FLEURIAN et al. 10.1017/jog.2018.78
- Impact of runoff temporal distribution on ice dynamics B. de Fleurian et al. 10.5194/tc-16-2265-2022
- Quantifying supraglacial meltwater pathways in the Paakitsoq region, West Greenland C. KOZIOL et al. 10.1017/jog.2017.5
- Greenland Ice Sheet flow response to runoff variability L. Stevens et al. 10.1002/2016GL070414
- A model for interaction between conduits and surrounding hydraulically connected distributed drainage based on geomorphological evidence from Keewatin, Canada E. Lewington et al. 10.5194/tc-14-2949-2020
- Coupled modelling of subglacial hydrology and calving-front melting at Store Glacier, West Greenland S. Cook et al. 10.5194/tc-14-905-2020
- The cooling signature of basal crevasses in a hard-bedded region of the Greenland Ice Sheet I. McDowell et al. 10.5194/tc-15-897-2021
- Modelling seasonal meltwater forcing of the velocity of land-terminating margins of the Greenland Ice Sheet C. Koziol & N. Arnold 10.5194/tc-12-971-2018
- Short- and long-term variability of the Antarctic and Greenland ice sheets E. Hanna et al. 10.1038/s43017-023-00509-7
- Theoretical, contemporary observational and palaeo-perspectives on ice sheet hydrology: Processes and products S. Greenwood et al. 10.1016/j.earscirev.2016.01.010
- A rapidly retreating, marine-terminating glacier's modeled response to perturbations in basal traction J. Downs & J. Johnson 10.1017/jog.2022.5
- Spatial Patterns of Summer Speedup on South Central Alaska Glaciers W. Armstrong et al. 10.1002/2017GL074370
- The seasonal evolution of subglacial drainage pathways beneath a soft-bedded glacier J. Hart et al. 10.1038/s43247-022-00484-9
- The Subglacial Lake That Wasn't There: Improved Interpretation From Seismic Data Reveals a Sediment Bedform at Isunnguata Sermia C. Hofstede et al. 10.1029/2022JF006850
- Inland advance of supraglacial lakes in north-west Greenland under recent climatic warming L. Gledhill & A. Williamson 10.1017/aog.2017.31
- Ice‐margin and meltwater dynamics during the mid‐Holocene in the Kangerlussuaq area of west Greenland J. Carrivick et al. 10.1111/bor.12199
- Prototype wireless sensors for monitoring subsurface processes in snow and firn E. BAGSHAW et al. 10.1017/jog.2018.76
- Supraglacial River Forcing of Subglacial Water Storage and Diurnal Ice Sheet Motion L. Smith et al. 10.1029/2020GL091418
- Moulin density controls drainage development beneath the Greenland ice sheet A. Banwell et al. 10.1002/2015JF003801
- Seasonal Evolution of the Subglacial Hydrologic System Modified by Supraglacial Lake Drainage in Western Greenland L. Andrews et al. 10.1029/2017JF004585
- Generation and fate of basal meltwater during winter, western Greenland Ice Sheet J. Harper et al. 10.5194/tc-15-5409-2021
- Wintertime Supraglacial Lake Drainage Cascade Triggers Large‐Scale Ice Flow Response in Greenland N. Maier et al. 10.1029/2022GL102251
- Complex multi-decadal ice dynamical change inland of marine-terminating glaciers on the Greenland Ice Sheet J. Williams et al. 10.1017/jog.2021.31
- Dynamic Hydraulic Conductivity Reconciles Mismatch Between Modeled and Observed Winter Subglacial Water Pressure J. Downs et al. 10.1002/2017JF004522
- Impact of seasonal fluctuations of ice velocity on decadal trends observed in Southwest Greenland P. Halas et al. 10.1016/j.rse.2022.113419
- Amplified melt and flow of the Greenland ice sheet driven by late-summer cyclonic rainfall S. Doyle et al. 10.1038/ngeo2482
- Variations in hydraulic efficiency of the subglacial drainage landsystem control surging and streaming regimes of outlet glaciers É. Ravier et al. 10.1017/jog.2022.107
- Improved representation of laminar and turbulent sheet flow in subglacial drainage models T. Hill et al. 10.1017/jog.2023.103
- The K-transect on the western Greenland Ice Sheet: Surface energy balance (2003–2016) P. Kuipers Munneke et al. 10.1080/15230430.2017.1420952
- Greenland Ice Sheet late-season melt: investigating multiscale drivers of K-transect events T. Ballinger et al. 10.5194/tc-13-2241-2019
- Observations of Buried Lake Drainage on the Antarctic Ice Sheet D. Dunmire et al. 10.1029/2020GL087970
- Extraordinary runoff from the Greenland ice sheet in 2012 amplified by hypsometry and depleted firn retention A. Mikkelsen et al. 10.5194/tc-10-1147-2016
- Direct measurements of meltwater runoff on the Greenland ice sheet surface L. Smith et al. 10.1073/pnas.1707743114
- The Influence of Hydrology on the Dynamics of Land-Terminating Sectors of the Greenland Ice Sheet B. Davison et al. 10.3389/feart.2019.00010
- Subglacial water drainage, storage, and piracy beneath the Greenland ice sheet K. Lindbäck et al. 10.1002/2015GL065393
- Subglacial Drainage Evolution Modulates Seasonal Ice Flow Variability of Three Tidewater Glaciers in Southwest Greenland B. Davison et al. 10.1029/2019JF005492
- Surge dynamics of Shisper Glacier revealed by time-series correlation of optical satellite images and their utility to substantiate a generalized sliding law F. Beaud et al. 10.5194/tc-16-3123-2022
- A new surface meltwater routing model for use on the Greenland Ice Sheet surface K. Yang et al. 10.5194/tc-12-3791-2018
- A modeling study of the effect of runoff variability on the effective pressure beneath Russell Glacier, West Greenland B. de Fleurian et al. 10.1002/2016JF003842
- Recent Advances in Our Understanding of the Role of Meltwater in the Greenland Ice Sheet System P. Nienow et al. 10.1007/s40641-017-0083-9
- Atmospheric drivers of melt-related ice speed-up events on the Russell Glacier in southwest Greenland T. Schmid et al. 10.5194/tc-17-3933-2023
- Reduced basal motion responsible for 50 years of declining ice velocities on Athabasca Glacier D. Polashenski et al. 10.1017/jog.2024.51
- Modeling of subglacial hydrological development following rapid supraglacial lake drainage C. Dow et al. 10.1002/2014JF003333
- Measured basal water pressure variability of the western Greenland Ice Sheet: Implications for hydraulic potential P. Wright et al. 10.1002/2016JF003819
- Dynamic response of the Greenland ice sheet to recent cooling J. Williams et al. 10.1038/s41598-020-58355-2
- Considering thermal‐viscous collapse of the Greenland ice sheet W. Colgan et al. 10.1002/2015EF000301
- Threshold response to melt drives large-scale bed weakening in Greenland N. Maier et al. 10.1038/s41586-022-04927-3
- Declining Basal Motion Dominates the Long‐Term Slowing of Athabasca Glacier, Canada W. Armstrong et al. 10.1029/2021JF006439
Saved (final revised paper)
Saved (final revised paper)
Latest update: 18 Nov 2024
Short summary
This paper addresses the feedback between ice flow and melt rates. Using 20 years of data covering the whole ablation area, we show that there is not a strong positive correlation between annual ice velocities and melt rates. Rapid variations around the equilibrium line indicate the possibility of rapid variations high on the ice sheet.
This paper addresses the feedback between ice flow and melt rates. Using 20 years of data...
