Sarah, Dave--
I think you need to clarify why the beaver can't live there.
Read the Wikipedia articles for an overview:
http://en.wikipedia.org/wiki/Beaverhttp://en.wikipedia.org/wiki/North_American_Beaverhttp://en.wikipedia.org/wiki/Beaver_damhttp://en.wikipedia.org/wiki/Flow_deviceAlso:
http://www.beaversww.org/solving-problems/According to them, the beaver and his dam is a wonderful thing. Cleans the water, mitigates high/low water level, encourages new plant growth, fish habitat, doesn't bother anyone.
OK, they block Chip's stream and back-up water on his land, and if a beaver dam washes-out the flood can upset people (and roads) downstream.
And they do drop and eat trees. Willow is a favorite and my experience is that if beavers don't get the willows, rot gets them quick. However many trees grow-back after beavers drop them, thicker and bushier.
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read up on "Giardiasis"No. "Beaver Fever" is a great headline, but you are MUCH more likely to get sick from mice and rats in house or woodshed, or other people's sewage, than from beavers.
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is there any beaver traps out thereThe classic beaver-trap is a leg-hold set below the surface. He gets caught and is held under water until he downs. This leaves the fur in excellent condition. This is how we went from 100 million beavers to 10 million beavers. A bullet may be kinder than drowning.
There is the "Hav-A-Hart" trap, a cage with drop-down door. You need strong bait to get an animal to go into a cage. Mice, raccoons, bears need special food: nuts, eggs, cookies, fruit, meat; and may walk into a trap to get it. Beavers eat shoots and leaves-- that stuff is all around, why go into a trap? (Also: an adult beaver is bigger than any Hav-A-Hart that I've ever seen.)
OK, say you live-trap a beaver. What do you do with the critter? Take him down the road a piece? He will bother your neighbors. He is very vulnerable without his pond and may get attacked by dogs, coyotes, wolves, bear, whatever you got there. He won't be welcomed in any other beaver's pond. And he's got the local streams mapped-out. He will probably return to his own safe place: your pond.
Studies show that 87% of beaver "relocations" fail within 2 years. The same or different beaver come back.
Without wolves and fur-hunters, beaver population is rising. With increased development, suitable habitat is decreasing. How can we find a balance? Bring back coyote and wolves? I almost like the idea (especially re: deer in New Jersey) but then-again I have Corgi-dogs so I don't want hungry wild-dogs in my area.
Is it your land or the beavers' land? You have a Title which protects from claims by other people, but the beavers ants wolves and other critters have held the land much-much longer than any people. I try to accept that "my" land belongs to the squirrels and coyotes and wild (big! mean!) turkeys, that I am only here for a few decades and they will be here much-much longer than me.
Tearing down the dam won't work. It sounds like you already have enough damming to make a happy beaver, and anyway beavers can repair dams in a day or two.
One trick seems to work. Lower the water in a way the beaver can't fix. See "Flow Device" above. You put a major leak in the dam in a way that the beaver can't feel or hear the flow, doesn't understand how to plug it. This works good for road-ditches and other situations where low water is fine. It may not be good for a boating/fishing pond.