I agree with Rasczak, I do not think that ownership is not based(as in enforced by) on fear. That basis would be the fear of some kind of force, so i would say that is effectively base on force. It is not a purpose of ownership(itself) either. It can be the reason of owning things, of course.
Perhaps we are prone to confusion of: 'purposes of ownership', 'how ownership is maintained' and owning stuff.