After we spent thousands on backhoes, and cats they finally left.
They were starting to flood our fields - that we worked so hard on - and spent so much money getting in good "worked", and planted condition. They had five dams in one-half mile.
We tried "levelers", I broke their dams many times - took me half a day with a loader for one - they worked all night "like Beavers" and rebuilt it overnight, and we tried anything except killing - we do not want to kill them. There were a lot of suggestions, some from here (this forum) about, lead poisoning, and a very funny beaver stew recipe.
In the end we cleared the half mile of creek about 500 feet on each side.
They left on their own. Have not been back for two years so far.
They can be a big problem, or if you don't need the land and it is steep, then having them around could just be messy.
Alex

Look At The Size Of The Trees They WERE Knocking Down

Lots Of Chewing There, And They Only Use The Little Branches And Leave A Big Mess - Bad Animals, Very Bad, Not Very Nice, Eh?

Blocked Up And enlarged Creek With Beaver House At End

This Is The Creek Looking West After Ditching And Tree Removal - It was The Dryest Year in Forty Years - No Water In Creek For A Few Weeks - No Trees For Five Hundred Feet Either Side Of Creek Fall.

About The Same Spot This Summer Looking East July No Beavers, It Is Running, First Time Barley (Not Flooded)
Good Luck, Hope It Works, Either Way For you,
Alex