I said all that because the Folding saw is the most efficient tool you can have in your pack to process wood. You can cut down trees, cut fire wood, cut wood used for shelter, and use to make notches real quick among other things.
Not only does it cut more efficiently than an AX or large knife, it also weighs less than 1lb. So you are not burning a lot of calories to haul it with you. It also folds into a small/compact handle, making it easy to pack.
Below is the kind I personally carry. There are several brands and a few different sizes, most are pretty similar. This is the Silky Saw GomeBoy. I prefer the Silky Saw because I can change blades easy. So I also carry an extra blade, just in case.




