| MadSci Network: Earth Sciences |
You're operating under the assumption that the glaciation came only from the North Pole, but this is not the case. The initiation of the glaciation was most probably a continental phenomenon, and it more or less "began" over a huge area of what is today eastern Canada (roughly from northwest Alberta over to northern Quebec). Another source of ice was glaciers spilling eastwards out of the Rocky Mountains. Many introductory texts in geology will have some maps showing the general spread of glaciation; the particular one I consulted was Press and Siever, "Earth" (pg 379). One theory of how the glaciers grew was that the winter snowpack was so thick that it never melted away during the summer, over a very large area. Thus year by year it built up and eventually the ice became thick enough that it began to flow due to the enormous pressure making the base of the ice rather plastic. This ice sheet then spread out from central Canada eastwards to Labrador and the Atlantic, north into the Yukon and the Arctic, westwards to collide with the Rocky Mountain glaciers, and southwards into what is now the northeastern part of the United States (incl. Minnesota). Note also that the glaciers were well over a mile thick (i.e. in excess of 5,280 feet) and such a monstrous glacier could very easily ride over and "submerge" a 500-foot elevation difference. Consider that they gouged out the beds of the Great Lakes, and then came back up from those depressions to advance much further south.
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