i have lived here for eight years, never an issue, even the police have that recorded, yet this old bastard just would not let it go. all i did was trim, TRIM!, trees, i did not cut them to the ground, i should have.
You can talk to an attorney who usually gives free initial consultation. If the neighbor is continually harassing you, it might be grounds for a restraining order. If he's lying to public officials about you, that's a serious offense.
I know it sounds expensive to get an attorney, but consider the peace of mind that you and your family might get by having legal power behind you. At the very least, the attorney could let you know what you can and can't legally do to protect yourself. It may be money well spent.
I have a nasty neighbor bitch next door who likes to call the cops on me when she's in a bad mood, which happens about every two weeks. I finally had a mediation at the local police department and they told her to stop. I wasn't doing anything wrong but she invented things like I was trying to poison her dog (she didn't have one). The police got alerted that she was a bitter old hagfish and finally stopped responding to her calls.
Pay a good arsonist to take care of his home when he's away.