I recently bought a house in New Jersey. The house is on a narrow plot with a large weeping willow, which I love, in the backyard. The neighbor has made his backyard into a gravel parking lot for himself. He is unwilling to pay to cut the branches that overhang his property and hassles me to do so. The tree sheds branches the way other trees shed leaves, and recently--after an exceptional week of rain, which brought down many long branches--he has been complaining that the tree is a nuisance and interferes with his ability to park his car in his backyard safely--as if his huge steel car was at great peril from thin light fronds. I had the tree trimmed by professionals last year to remove any large dead branches, and the neighbor was upset that I didn't have them lop off the branches at the property line, as if that was my intent, as opposed to keeping the tree healthy.

Anyway, my question is this: Will he be able to sue me? Are willow trees considered more dangerous or otherwise exceptional from the laws that cover other trees? The branches are more likely to fall, but they weigh far less than, say, oak tree branches.