As someone who does primitive archery and muzzleloading, I've had a lot of thoughts on this, since I've often thought bows would be very practical on the frontier, however their evidence is scant for use by Anglo settlers, aside from Mott's fort with Francis Marion.
These are my thoughts and not necessarily documented.
For woods warfare, especially in groups, muskets are the better tool.
A musket or rifle is :
- more maneuverable (while ready to fire) through brush
- you are able to expose less of your body from cover while taking effective shots.
- If you are in a group of men, you can stage a defensive line and safely load behind trees, while any approaching attackers expose themselves to fire if they try to attack a lone reloading man.
- you can reload a musket much faster than on the range with period fighting techniques. Look up the tap loading method, for example.
- musket balls will pass through brush that would otherwise deflect an arrow.
- you can load buckshot or buck and ball in a smoothbore which increase your chances of hitting a target.
- the "shock and awe" of a musket volley would rattle the senses of any person on the recieving end, especially from an otherwise quiet world. There are period accounts attesting to this I have heard of.
- I remember reading period accounts from out west, from a US army doctor during the indian wars, if I recall correctly, he indicated that arrow wounds weren't quite as fatal as expected, usually the trooper died after recieving medical attention, due to bleeding out from the wound and or infection. MOST importantly, they did not incapacitate the man shot...
- A .58 to .75 round ball will knock someone dead before they hit the ground. A mortally wounded man with an arrow is potentially a torpedo intent on killing without regard for life, since he knows he's done for. A man shot with a musket will trouble you no more.
- a musket or rifle can shoot flatter than a bow at distance. In thick woods warfare I could imagine trouble successfully arc-ing arrows on target that a rifle could point and shoot at.
Again, these are only my thoughts and observations, based on my experiences with hunting with primitive archery, muzzleloaders and historical reenacting.