According to many pole shift researchers like Charles Hapgood, Greenland has an ice cap because in both our current orientation (since the last pole shift almost 13,000 years ago) and in the previous orientation of the Earth's surface (when the North Pole is believed to have been near Hudson Bay - explaining the North American "ice age" while Siberia was warm) - Greenland was close to the pole, in Arctic conditions, for both world ages.