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apTreeshape (version 1.5-0.1)

a_N: Computes a_n

Description

Values of a_n for n in 1:N

Usage

a_N(beta, N)

Arguments

beta

Imbalance index

N

Tip number

Value

A vector of a_n for n in 1:N

Details

\(a_n = \int_(0,1) (1-r^n-(1-r)^n) r^\beta (1-r)^\beta dr\)

References

Maliet O., Gascuel F., Lambert A. (2018) Ranked tree shapes, non-random extinctions and the loss of phylogenetic diversity, bioRxiv 224295, doi: https://doi.org/10.1101/224295