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apTreeshape (version 1.5-0.1)

lambda.epsilon: Computes lambda_epsilon

Description

Internal function needed to simulate the ranked tree shape model

Usage

lambda.epsilon(epsilon, beta, n, upper = 10000)

Arguments

epsilon

Minimum size of unsampled splits (see appendix 1)

beta

Imbalance index

n

Tip number

upper

Upper bound from the integral (see lambda_n expression, default to 10000)

Details

\(\lambda_\epsilon = 2 \int_(\epsilon,\infty) exp(-(\beta+n+1)x)(1-exp(-x))^\beta dx\)

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