Hellinger

\[D_{Hellinger} = \sqrt{ \sum_{j=1}^{S_T} \left ( \sqrt{\frac{S_{Aj}}{S_{A+}}} - \sqrt{\frac{S_{Bj}}{S_{B+}}} \right )^2 }\]
  • where \(S_{Aj}\) is the abundance of sample A in the jth OTU
  • where \(S_{Bj}\) is the abundance of sample B in the jth OTU
  • where \(S_{A+}\) denotes the total abundance of sample A
  • where \(S_{B+}\) denotes the total abundance of sample B