Abstract Additive partitioning of species diversity is widely applicable
to different kinds of sampling regimes at multiple spatial and temporal
scales. In additive partitioning, the diversity within and among
samples (alpha and beta) is expressed in the same units of species
richness, thus allowing direct comparison of alpha and beta. Despite
its broad applicability, there are few demonstrated linkages between
additive partitioning and other approaches to analysing diversity.
Here, we establish several connections between diversity partitions
and patterns of habitat occupancy, rarefaction, and species-area
relationships. We show that observed partitions of species richness
are equivalent to sample-based rarefaction curves, and expected partitions
from randomization tests are approximately equivalent to individual-based
rarefaction. Additive partitions can also be applied to species-area
relationships to determine the relative contributions of factors
influencing the beta-diversity among habitat fragments.