Not a Patriarchy, a Noaharchy

My dad commented to me a few days ago that the Bible is not a patriarchy. Indeed we see by Genesis chapter 10, that all the patriarchs have been killed off. Noah and his sons and his sons wives remain, but not because God has befriended a father, but because God had one friend in all the earth, that was Noah. What do we call this thing? Aonerighteousmaninthewholeeartharchy? Do we call it a God'sonefriendarchy? Onelonelyguyarchy? Onelittlefamilyarchy?