Owners of sources registered in an information integration system, which provides answers to a (potentially evolving) set of client queries, need to know their contribution to the query results. We study the problem of deciding, given a client query Q and a source registration R, whether R is (i) "self-sufficient" (can contribute to the result of Q even if it is the only source in the system) or (ii) "now complementary" (can contribute, but only in cooperation with other specific existing sources), or (iii)"later complementary" (can contribute if in the future appropriate new sources join the system). We consider open-world integration systems in which registrations are expressed using source-to-target constraints, and queries are answered under "certain answer" semantics.