Their collapse would enhance the discharge of ice into the oceans and increase the rate at which sea-level rises, researchers said.
A rapid reduction of greenhouse gas emissions could save a number of these ice shelves, researchers at Utrecht University and the British Antarctic Survey said.
Back in 1995 and 2002, two floating ice shelves in the north of the Antarctic Peninsula (Larsen A and B) suddenly collapsed - each event occurred in a matter of weeks.
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.
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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 melt-water lakes on the ice shelves.
As a result, melt-water 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.
"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," 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," said Munnekke.
The study was published in the Journal of Glaciology.