A computer program product, according to one embodiment, includes a computer readable storage medium having program instructions embodied therewith. The computer readable storage medium is not a transitory signal per se. Moreover, the program instructions readable and/or executable by a processor to cause the processor to perform a method which includes: maintaining, by the processor, a cascaded mapping relationship at a secondary system. The cascaded mapping relationship extends between the secondary system and a remote primary system. Furthermore, maintaining the cascaded mapping relationship includes: in response to receiving a remote point-in-time copy from the remote primary system, inserting, by the processor, the received remote point-in-time copy immediately downstream from an interface of the cascaded mapping relationship between the secondary system and the remote primary system; and inserting, by the processor, each local point-in-time copy of a storage volume in the secondary system immediately downstream from the storage volume.