An interface for managing incremental data storage includes a write function that appends an entry to an incremental log, a read function that retrieves a most recent log entry corresponding to a block address, and a snapshot function that automatically partitions the incremental log into an additional volume. The interface may also include a policy assignment function that associates specified policies with explicitly or implicitly specified resources, a read entry function that retrieves sequential entries from the incremental log, and a compact volume function. The provided functions and associated apparatus, method, and system, facilitate management of incremental data including snapshot, remote copy, data compaction, policy management, data restoration, and other operations on data storage devices and systems.