A source storage system replicates snapshots stored on the source storage system to a target storage system. The source storage system stores a plurality of snapshots. The source storage system also stores parent child relationships between snapshots. The source storage system allows child snapshots of a parent snapshot to be modified independent of each other. The source storage system determines changed blocks of a snapshot compared to a previously transmitted snapshot and sends only the changed blocks to the target storage system. The source storage system determines the changed blocks of a snapshot compared to a previously replicated snapshot based on time of creation of a common ancestor of two snapshots. The source storage system transmits a data block of a snapshot if either the data block or a corresponding data block of the previously replicated snapshot was modified after the creation of the common ancestor snapshot.