A method allocates object replicas in a distributed storage system. The method identifies a plurality of objects in the distributed storage system. Each object has an associated storage policy that specifies a target number of object replicas stored at distinct instances of the distributed storage system. The method identifies an object of the plurality of objects whose number of object replicas exceeds the target number of object replicas specified by the storage policy associated with the object. The method selects a first replica of the object for removal based on last access times for replicas of the object, and transmits a request to a first instance of the distributed storage system that stores the first replica. The request instructs the first instance to remove the first replica of the object.