"This was a spectacular event, especially when you imagine the size of these ice shelves, which are several hundreds of metres thick, and have been in place for over 10,000 years,'' said Dr Peter Kuipers Munneke, the paper's lead author.
The team of researchers suspected that the disappearance of the snow layer on top of the ice shelves could be an important precursor for shelf collapse.
Their calculations confirm this hypothesis, and show that many more ice shelves could disappear in the next 200 years.
The scientists believed the snow layer plays an important role in regulating the effect of meltwater lakes on the ice shelves.
As long as the snow layer is sufficiently thick and cold, all meltwater can sink into the snow and refreeze.
But in a warmer climate, the amount of meltwater increases, and the snow layers become thinner.
As a result, meltwater can no longer refreeze and forms large lakes on the surface of the ice shelves.
The water drains through cracks and faults, causing them to widen until they become so wide and deep that the entire ice shelf disintegrates.
After their collapse, ice shelves can no longer provide resistance to the flow of the glaciers previously feeding them.
As a result, the glacier flow accelerates significantly, contributing to an increase in sea-level rise.
The researchers performed calculations that show how this process may evolve over the next 200 years, using two different climate scenarios.
"If we continue to burn fossil fuels at the current rate, almost all ice shelves in the Antarctic Peninsula will be under threat of collapse in the next 200 years,'' Dr Kuipers Munnekke said.
"Only the two largest ones seem to be safe. Even in the much colder eastern part of Antarctica, some ice shelves could disintegrate.
"If we manage to keep global warming below the European Union target of 2oC, more than half of the ice shelves could be saved, compared to no action taken on emissions reductions.''
The study received financial support from the European Union's four-year ice2sea project.