We could get technical and ask what level of gravity exists on the world, what sort of loads are being carried, and what sort of terrain. The higher the gravity and heavier the loads the narrower the track, and vise-versa. If mountainous terrain then vehicles with a narrower tracks are preferred.
I think you are correct in suggesting that a wagon wheel track would be something less than 2m, but probably more than 1.5m - but I don't have any firm facts on the subject. In the woods the track is not likely to be much wider than the wagons themselves - unless the track sees a lot of traffic - as it is too much trouble to cut back more than you absolutely need.
If the place is an all wooded environment the wagons may have a narrower track, with wheels that are fully beneath the tray to allow overhang on each side - think bullock wagons - as this allows for a wider load without the wheels running up against the ground that is typically raised near tree trunks.
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