I had to deal with this last year. First 2 years owning my hunting property no problems. I don't know what changed, but neighbor started letting his dogs run deer on my property. After 6 months of this I finally confronted him. I'd made several visits trying to foster a positive relationship before this, coming to the conclusion he was a POS but I wanted a decent relationship. The minute I brought up the dogs running I got a stream of 4-letter words and threats about what would happen if I shot his dog. He's got $1000 in this dog but public information tells me he's $400 delinquent on his property taxes. I swore I wouldn't shoot his dog, told him I was recording the whole conversation and the threats (legal here, but I wasn't), but said if the dogs continued to run I'd start making phone calls and make his life difficult.
After that he was clearly cruising the road to check if I was there, I think letting his dogs run if I wasn't there. I started taking a longer way in not past his house; as soon as he realized I was doing this the dogs stopped running.
My general position with people letting dogs run is these types of people only recognize strength. I had problems on my home place as well, 2 neighbors letting dogs run and sometimes violent ones. They got to threatening my kids and attacking my dogs on my own property. I was far too patient giving warnings, in hindsight. Finally I told one of them the next time their dog was a threat on my property I would shoot it. 10 days later it attacked my dog at my feet, and when I tried to separate them it tried to attack me. I retrieved a pistol and by the time I got back outside the dog was in the road with the neighbor, I told them to contain the dog because if it came across to attack again I would shoot it. They still refused to grab it, and it lit out after my dog again and I took a shot. I missed, but it scared it away. Both problem neighbors got upset and called the sheriff, who backed me up and told them to pound sand. After 12 years of never ending problems I finally had peace after that with no more dog problems.
After that he was clearly cruising the road to check if I was there, I think letting his dogs run if I wasn't there. I started taking a longer way in not past his house; as soon as he realized I was doing this the dogs stopped running.
My general position with people letting dogs run is these types of people only recognize strength. I had problems on my home place as well, 2 neighbors letting dogs run and sometimes violent ones. They got to threatening my kids and attacking my dogs on my own property. I was far too patient giving warnings, in hindsight. Finally I told one of them the next time their dog was a threat on my property I would shoot it. 10 days later it attacked my dog at my feet, and when I tried to separate them it tried to attack me. I retrieved a pistol and by the time I got back outside the dog was in the road with the neighbor, I told them to contain the dog because if it came across to attack again I would shoot it. They still refused to grab it, and it lit out after my dog again and I took a shot. I missed, but it scared it away. Both problem neighbors got upset and called the sheriff, who backed me up and told them to pound sand. After 12 years of never ending problems I finally had peace after that with no more dog problems.