Beta diversity measures
The following beta diversity measures are available:
- Bray-Curtis:
- Jaccard:
- Euclidean:
![$ n$](img10.gif)
![$ x_i^A$](img24.gif)
![$ x_i^B$](img25.gif)
![$ i$](img15.gif)
![$ A$](img26.gif)
![$ B$](img27.gif)
The following distances are also available:
- Unweighted UniFrac:
- Weighted UniFrac:
- Weighted UniFrac not normalized:
- D_0 UniFrac: The generalized UniFrac distance
- D_0.5 UniFrac: The generalized UniFrac distance
![$ n$](img10.gif)
![$ b_i$](img17.gif)
![$ i$](img15.gif)
![$ p_i^A$](img33.gif)
![$ p_i^B$](img34.gif)
![$ i$](img15.gif)
![$ A$](img26.gif)
![$ B$](img27.gif)
![$ I(p_i^A>0)$](img35.gif)
![$ I(p_i^B>0)$](img19.gif)
![$ 1$](img20.gif)
![$ i$](img15.gif)
![$ A$](img26.gif)
![$ B$](img27.gif)
The unweighted UniFrac distance gives comparatively more importance to rare lineages, while the weighted UniFrac distance gives more important to abundant lineages. The generalized UniFrac distance offers a robust tradeoff [Chen et al., 2012].