The spring/summer after my first winter in my house, I had to put up a fence, strategically placed boulders and have trees planted around my property to keep people off.

I opted to forego calling local police or ask people to stop, ect. Dealing with small town folks can be tricky, and every town has their own unwritten social rules. Since I own this home and knew I plan to live here probably forever, I wanted to keep things smooth and not ruffle feathers as the "newcomer."
I was also single young woman at the time. I didn't want to set myself up for any trouble, either. Paying for some landscaping was easiest and seemed natural for a new homeowner to do anyway. I haven't had any problems with people coming on my property since.