I run a a wildlife management buiseness in Qc... one of the main animals I deal with is the beaver.
Beavers will typically go for poplars and willows(choice food), not much money in those. They won't get to maple and harder trees (the ones worth $$) unless the softer ones are scarce. During famine times, they'll strip the bark off the bottom of maples (this kills the trees as the sap won't circulate...cutting it's wrist veins ) They will colonize a suitable area and stay there until food is gone. .. all the while populating the area with their 3 y.o. kits. There can be up to 12 beavers in a well established colony. once all the suitable trees have been used, they'll move off. Forest will regenerate and beavers will come back.
They will affect a small lake by damming the water outlet, raising it's level to be able to go cut wood farther (drowning vegetation). Beaver dams, submerged food stores and lodges make great trout fishing spots (lotsa insects and minnows and small fish plus hiding places). best to fish them with a fly rod and floating line to avoid tangles.
The lake will expand. waterfront property will loose surface but shallows will grow with pond lilies.... moose food.
If trees need to be protected (near camp, you like it...whatever) wrap it in chicken wire mesh from the ground up to 4 feet. Beavers can cut chain link fencing materials (my live traps are made with this) but will ignore a covered tree in order to get to an easier one.
Keeping the colony, managing it or getting them out of there is something to think about. I'm more for management (trap-use some and keep the rest around). unless there is a big risk to your property (flooding, tree falling on the camp), there is no need to pul the whole colony out.
Hope my experience helps