If you are interested in recreating the late 17th/early 18thc winter warfare in North America then this item - worn by Canadians as well as Indians is worth studying. Based on a fisherman's coat, it was adapted by Canadians and tailored to look quite stylish. Usually made of melton and unlined it could be blue, brown or grey/white like this one. Sometimes they were issued so a uniform colour is possible. This image of a Compagnies Franches de la Marine c1690 is by Francis Back - someone who has done most of the research on this garment publishing a great article for the Museum of the Fur Trade Quarterly many moons ago.
Also note the side seam leggings - again most likely in melton.