The ice loss is has a doubling time so is exponential and accelerating,
Says who based on what measurements?
https://www.scientificamerican.com/arti ... d-reveals/
The results are consistent with other estimates, but this is the first time scientists have used actual observations from this far back in time rather than relying on model-generated estimates. “We have observation-based estimates that is new and super important,” emphasized Kristian Kjellerup Kjeldsen, the lead author of the study at the Natural History Museum of Denmark.
Even the Intergovernmental Panel on Climate Change was missing these crucial data about Greenland’s ice melt in its 2013 assessments of sea-level rise, which excluded the contribution of the ice sheets. The gap existed because of the lack of direct observations of Greenland, according to scientists.
One of the limitations of the work, Kjeldsen pointed out, was comparing rates of ice loss in time periods of different lengths. Their estimations show an average annual ice loss of about 75 gigatons for the first two phases—an 80-year-long period and a 20-year one. The most recent data showed that an average of 186 gigatons of ice was lost during 2003-10, which is only a seven-year period.
Last century 75 Gton a year, then last decade up to 186 a year, more than double.
This decade, looking for data....

https://phys.org/news/2012-05-greenland ... -mass.html
For the first time and for each region, the researchers could determine with unprecedented precision which percentage melting, iceberg calving and fluctuations in rainfall have on the current mass loss. "Such an increase in mass loss in the northwest after 2005 is partly due to heavy snowfall in the years before", says GFZ scientist Ingo Sasgen, head of the study. "The previous mass gain was reduced in subsequent years. Similarly in eastern Greenland: In the years 2008 and 2009 there was even a mass increase". As the researchers were able to show, this was not due to decreased glacier velocities, but because of two winters with very heavy snowfall. Meanwhile, the loss of ice mass continues here. For all studied regions the melting and calving periods between 2002 and 2011 are extraordinarily high compared to those of the last five decades.
Read more at: https://phys.org/news/2012-05-greenland ... s.html#jCp
https://www.sciencedaily.com/releases/2 ... 163845.htm
Less than a year after the first research flight kicked off NASA's Oceans Melting Greenland campaign, data from the new program are providing a dramatic increase in knowledge of how Greenland's ice sheet is melting from below. Two new research papers in the journal Oceanography, including one by UCI Earth system scientist Mathieu Morlighem, use OMG observations to document how meltwater and ocean currents are interacting along Greenland's west coast and to improve seafloor maps used to predict future melting and sea level rise.
5 year program started in 2017 so this is the best and most recent info on the melting GIS.
The OMG data have enough detail that researchers are beginning to pinpoint the ice-loss risk for individual glaciers along the coast, according to principal investigator Josh Willis of JPL. "Without OMG, we wouldn't be able to conclude that Upernavik Glacier is vulnerable to ocean warming, whereas Cornell Glacier is less vulnerable," he said.
Darn, we might have to wait a bit for the results, no mention of any Gton/year either:OMG is a five-year campaign to study the glaciers and ocean along Greenland's 27,000-mile coastline. Its goal is to find out where and how fast seawater is melting the glacial ice. Most of the coastline and seafloor around the ice sheet had never been surveyed, so the 2016 flights expanded scientists' knowledge of Greenland significantly. Future years of data collection will reveal the rate of change around the island.
The water circulating close around the Greenland Ice Sheet is like a cold river floating atop a warm, salty ocean. The top 600 feet (200 meters) of colder water is relatively fresh and comes from the Arctic. Below that is saltwater that comes from the south, 6 to 8 degrees Fahrenheit (3 to 4 degrees Celsius) warmer than the fresher water above. The layers don't mix much because freshwater weighs less than saltwater, so it stays afloat.
If a glacier reaches the ocean where the seafloor is shallow, the ice interacts with frigid freshwater and melts slowly. Conversely, if the seafloor in front of a glacier is deep, the ice spills into the warm subsurface layer of saltwater and may melt relatively rapidly. Satellite remote sensing can't see below the surface to discern the depth of the seafloor or study the layers of water. OMG makes these measurements with shipboard and airborne instrume
https://www.washingtonpost.com/news/ene ... 8c7da2e537
Report from this year, 287 Gton, almost a doubling from the 2003/2010 period. Exponential, abrupt change happening.
“We find that 2003–2010 mass loss not only more than doubled relative to the 1983–2003 period, but also relative to the net mass loss rate throughout the twentieth century,” the study notes. It states that mass loss in this most recent period, ending in 2010, was 186 gigatons per year on average, though other estimates have put that number even higher for the most recent years. NASA currently states that Greenland is losing 287 billion tons of ice per year.
Ice loss from Greenland today occurs through two key mechanisms — melting on the surface of the ice sheet followed by runoff into the ocean, and large calving events at marine based glaciers, which are followed by more flow of ice outward from behind them.
The latter process can be quite dramatic — capable of triggering huge earthquakes as gigaton-sized icebergs detach, roll in the water, and crash into glaciers behind them.
No worries:

Since the end of the study period in 2010, mass loss has only continued, with a particularly stark loss in the year 2012 — but fortunately, it does not appear that there has been another doubling of the rate of mass loss since 2010, says Box. Not yet, anyway.
Nevertheless, the fact that Greenland has already contributed so much fresh water to the oceans, and that now its ice loss is speeding up, is sobering. The key question for the future of Greenland’s ice is how high temperatures will go and how long they will stay there. The world’s recent Paris goal of keeping warming well below 2 degrees Celsius (or even better, 1.5 degrees Celsius), if achieved, may just be enough to prevent a scenario in which a total melt occurs over time.
“The ice sheets are doomed in plus 3 Celsius world,” says Box.
I thought no arctic sea ice, no GIS as the paleo climate people found out, at least no complete ice sheet, even Northeast Greenland started to loose ice recently.