"seems cruel, unneighborly and down right stupid."
You made a point, and I look at it as the dog owner is the one who "seems cruel, unneighborly and down right stupid". So it depends on which side of the fence one is on.
I now have two great neighbors who have dogs. They have acreages of land as I do. I mow my grass along their property and really dislike the dog doo that I have to mow through. Somehow that just doesn't seem to bother the neighbors, and I can't imagine that they don't know that their dogs are roaming off their property to dump. It may not be cruel, but it is certainly unneighborly.
No, I won't shoot their dogs.
But I sure have been tempted to shovel up the dog doo and place it on their porches or in their garage where it can stink like it does on my lawn tractor tires.
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Around 1975 we lived in the City of Victoria. Bought our first house and some months later new people moved into the house across the street. Had a big dog, 100lb +. Of course it came and did its business on our front lawn. Went over to nicely

tell the neighbor's what their dog was doing. Well it didn't stop so a couple of weeks later I got out my shovel and scooped up all the crap and put it on the bottom of their front step.


A couple of days later they started building a fence. No more dog doo doo on our front lawn. :thumbsup:
As far as the OP’s position I would talk to the neighbor first. After that then look at your options. If you are getting goats you would want to put in a better fence than a 4 strand barb wire. So perhaps putting up a new fence will keep them out. My wife and I did own Doberman’s for 20 years, used to show them. I think any 2 or more dogs, of any breed, are a pack and can be dangerous.