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USEARCH v11

Singleton-free estimator (FE)

See also
  Alpha diversity
  Alpha diversity metrics
  Novel alpha diversity metrics
  Log-normal abundance distribution

The singleton-free estimator (FE) (R.C. Edgar and H. Flyvbjerg, manuscript in preparation) estimates total richness using a non-parametric theory similar to Chao1, except that singletons are not considered. Let

   N = number of observed OTUs,
   nk = number of observed OTUs with abundance k.

Then FE is calculated as

   FE = N - n1 + 2n23/9n32 + 2n22/3n3.