The best solution that has been found is to remove the current population of problem beavers, dismantle any dams on the property and secure trees from any future damage. Another method, which takes longer to be effective, is to install a drain system in the beaver dam itself. Each job is unique and would require an in person inspection to judge. City permits are sometimes required.
Beavers are animals that many people look upon fondly. They are known to be industrious animals, which they truly are. Beavers are said to be the largest environmental changer next to humans. They are primarily nocturnal but have been known to be active at different points during the day as well. A colony of beavers can have 2-10 at a time depending on how many kits are born.
Beavers tend to keep to themselves pretty well, the problems arise when their work starts to affect people and businesses. Beavers can cause catastrophic levels of flooding if the dam building isn't stopped or managed. Sometimes harassment, which involves tearing down dams regularly, can work and push the beavers on to a different area. When it does not work, trapping is the most common solution.
Relocation is a noble idea but studies have found that it does not work as well one would think. Washington state requires a permit to be filed with the Department of Fish and Wildlife before relocation can be entertained. Once the permit is approved, signatures from all landowners, even ones adjacent to any of body of water, must sign off stating they are approving this to happen. After that, it must be the appropriate time of year. There is about a 2 month span when this is possible in the falltime, but locations run out incredibly fast.