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You can get "summer" or "light" overshoes as well as "winter" ones. I assume a commute is a relatively short distance at a slow / moderate pace so overheating shouldn't be too much of an issue.
I read a paper on this (for marathon running) I'll see if I can find it. Basically exercise is fuelled by a mix of fat and glycogen, the harder you exert yourself the higher the % of glycogen you use. You've got lots of fat but limited glycogen.
