Do tenants in common owners need to declare rental income proportionate to ownership interest in property?

We own a 2 unit home with other tenants in common. We reside in one unit and the other unit is rented (to non-owners). Do all tenant in common co-owners need to declare income on the rental unit proportionate to their ownership interest? Or can an agreement be made amongst co-owners as to who declares income for a unit? i.e. can co-owners A & B declare (if any) income from "unit 1", and co-owners C & D declare (if any) income from "unit 2"? Would the IRS hour such agreement amongst tenants in common?