Example methods disclosed herein include registering a first leaf node to receive multicast data from a source via a first network node in response to receiving, from the first leaf node, a first message addressed to an anycast address, the anycast addressed being assigned to the first network node to associate the first network node with a second hierarchical level of a replication hierarchy. The disclosed example methods also include receiving the multicast data from a second network node associated with a first hierarchical level of the replication hierarchy. The disclosed example methods further include, after registering the first leaf node with the first network node, replicating the multicast data to generate copies of the multicast data to be transmitted via respective unicast paths to respective ones of a plurality of leaf nodes, including the first leaf node, registered with the first network node to receive the multicast data.