Embodiments relate to adaptive memory apportioning. An aspect includes, statistics captured for a plurality of elements of a partitioned linear address space. Each addressable location is an element in the address space. Subspaces of the partitioned linear address space are rated based on captured statistics of at least one element. The subspaces are differentiated, based on the frequency of access, as being of lesser and greater significance. The boundaries that separate the subspaces are altered so as to effect coarser granularity in the subspaces determined to have the lesser significance and finer granularity in the subspaces determined to have the greater significance.