This function is used in computing the probability density for
Model T1. The code is closely based on the <code>I0L0</code> function implemented in Python for the package
RandomFieldUtils, which was previously on CRAN up to 12/2022).

Methods for analyzing and using quartets displayed on a collection
of gene trees, primarily to make inferences about the species tree or network
under the multi-species coalescent model. These include quartet hypothesis tests
for the model, as developed by Mitchell et al. (2019) <doi:10.1214/19-EJS1576>,
simplex plots of quartet concordance factors as presented by Allman et al. (2020)
<doi:10.1101/2020.02.13.948083>, species tree inference methods based on quartet
distances of Rhodes (2019) <doi:10.1109/TCBB.2019.2917204> and Yourdkhani and
Rhodes (2019) <doi:10.1007/s11538-020-00773-4>, the NANUQ algorithm for inference
of level-1 species networks of Allman et al. (2019) <doi:10.1186/s13015-019-0159-2>,
the TINNIK algorithm for inference of the tree of blobs of an arbitrary
network of Allman et al.(2022) <doi:10.1007/s00285-022-01838-9>, and
NANUQ+ routines for resolving multifurcations in the tree of blobs to cycles as in
Allman et al.(2024) (forthcoming).
Software announcement by Rhodes et al. (2020) <doi:10.1093/bioinformatics/btaa868>.

John Rhodes

MSCquartets

Analyzing Gene Tree Quartets under the Multi-Species Coalescent

Elizabeth Allman

Hector Banos

Jonathan Mitchell

Kristina Wicke

M0 function

<dl><dt>x</dt>
<dd>function argument</dd></dl>

Arguments

Modified Struve function — M0

<dl>

<dt>x</dt>
<dd>function argument</dd>

</dl>

M0: Modified Struve function

Description

Usage

Value

Arguments