A mapper tree for a logical volume is provided by storing, in each leaf node of the mapper tree, pointers to pages of non-volatile storage that store host data written to corresponding pages within a segment of the logical address space of the logical volume that corresponds to the leaf node. In response to receiving an initial write operation directed to a segment of the logical address space of the logical volume for which no leaf node currently exists in the mapper tree, a representation of a new leaf node is added to a super leaf node in the mapper tree that efficiently stores representations of multiple leaf nodes.