Leaves that don’t fall 2

Our backwoods have a healthy distribution of beech trees (I used to think these were aspen trees) that keep their leaves as long as possible. On cloudy days they brighten our walks and talk to us on quiet days as the winds wrestle with their leaves.
A busy route along the snow machine trail in our back woods reveals the passage of turkeys (usually a dozen or more at a time), deer, and a curious one which could be dog, fox, or what?