Current data indicates all this ice is already thinning at a rapid rate.

BBC: Canadian glaciers face 'big losses'

Of 111 fast-moving Greenland glaciers studied, 81 were shown to be thinning at twice the rate as the slow-moving ice beside them.

BBC: Laser satellite records ice loss

Another analysis of satellite data, published in September, showed that of 111 fast-moving Greenland glaciers studied, 81 were thinning at twice the rate of the slow-moving ice beside them.

BBC: Greenland ice loss 'accelerating'