Beta diversity measures
The following beta diversity measures are available:
- Bray-Curtis:
- Jaccard:
- Euclidean:
where
is the number of OTUs and
and
are the abundances of OTU
in samples
and
, respectively.
The following distances are also available:
- Unweighted UniFrac:
- Weighted UniFrac:
- Weighted UniFrac not normalized:
- D_0 UniFrac: The generalized UniFrac distance
- D_0.5 UniFrac: The generalized UniFrac distance
where
is the number of branches in the phylogenetic tree,
is the length of branch
;
and
are the proportion of taxa descending from branch
for samples
and
, respectively; and the indicator functions
and
assume the value of
if any taxa descending from branch
is present in samples
and
, respectively, or
0 otherwise.