Final answer:
OS X Mavericks automatically deletes the oldest local snapshots first when the volume's storage is running low, prioritizing recent data and eliminating the need for manual intervention.
Step-by-step explanation:
The OS X Mavericks operating system manages its storage by automatically creating and deleting local snapshots as part of its Time Machine backup feature. When the storage on a volume is running low, the system decides which local snapshots to delete based on their age. Specifically, OS X Mavericks deletes the oldest local snapshots first to free up space. This approach ensures that recent data is prioritized for backup, while older, less urgent data is removed when needed. The user does not need to manually intervene in this process, as the system efficiently manages the snapshots in the background.