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Shell script pipeline for inferring ML gene trees for many loci (e.g. RAD loci, UCEs)

NOTICE

MAGNET is currently only being actively maintained and developed within PIrANHA, where it is at v1.2.0. The present repository will be periodically updated to include a standalone version of the MAGNET software. This helps users interested only in MAGNET; however, it is strongly recommended that you install the full PIrANHA distribution and request MAGNET updates or bug fixes through the PIrANHA repo (e.g. contact the author, or raise an issue here).

LICENSE

All code within the PIrANHA repository, including MAGNET v1.2.0 pipeline code, is available 'AS IS' under a 3-clause BSD license. See the LICENSE file for more information.

CITATION

Should you cite MAGNET? See https://github.com/mr-c/shouldacite/blob/master/should-I-cite-this-software.md.

If you use scripts from this repository as part of your published research, then please cite MAGNET as well as the PIrANHA package that it comes distributed in, as follows (also see DOI information below):

Alternatively, please provide the following links to these software program in your manuscript:

Example citation using the MAGNET URL:

  • "We estimated a gene tree for each RAD locus in RAxML v8 (Stamatakis 2014) using the MAGNET v1.2.0 pipeline (http://github.com/justincbagley/MAGNET). Each RAxML run specified the GTRGAMMA model and coestimated the maximum-likelihood phylogeny and bootstrap proportions from 500 bootstrap pseudoreplicates."

Example citation using the MAGNET and PIrANHA URLs:

DOI

The DOI for MAGNET, via Zenodo, is as follows: DOI. Here is an example of citing MAGNET using the DOI:

INTRODUCTION

The estimation of species-level phylogenies, or 'species trees' is a fundamental goal in evolutionary biology. However, while 'gene trees' estimated from different loci provide insight into the varying evolutionary histories of different parts of the genome, gene trees are random realizations of a stochastic evolutionary process. Thus, gene trees often exhibit conflicting topologies, being incongruent with each other and incongruent with the underlying species tree due to a variety of genetic and biological processes (e.g. gene flow, incomplete lineage sorting, introgression, selection).

With the advent of recent advances in DNA sequencing technologies, biologists now commonly sequence data from multiple loci, and even hundreds to thousands of loci can quickly be sequenced using massively parallel sequencing on NGS sequencing platforms. Full-likelihood or Bayesian algorithms for inferring species trees and population-level parameters from multiple loci, such as *BEAST and SNAPP, are computationally burdensome and may be difficult to apply to large amounts of data or distantly related taxa (or other cases that complicate obtaining MCMC convergence). By contrast, a number of recently developed and widely used 'summary-statistics' approaches rely on sets of gene trees to infer a species tree for a set of taxa (reviewed by Chifman and Kubatko, 2014; Mirarab and Warnow, 2015). These methods are specifically designed to estimate gene trees or use gene trees input by the user, which are treated as observed data points analyzed in a distance-based or coalescent algorithm. Moreover, summary-statistics approaches to species tree inference tend to be accurate and typically much faster than full-data approaches (e.g. Mirarab et al., 2014; Chifman and Kubatko, 2014). Examples of species tree software in this category include programs such as BUCKy (Larget et al., 2010), STEM (Liu et al., 2010), spedeSTEM, NJst (Liu and Yu, 2011), ASTRAL and ASTRAL-II (Mirarab and Warnow, 2015), and ASTRID (Vachaspati and Warnow, 2015). Phylogenetic network models implemented in recent software like SplitsTree and SNaQ also improve network and inference by analyzing sets of gene trees.

Despite the importance of gene trees in species tree and network inference, few resources have been specifically designed to aid rapid estimation of gene trees for different loci. MAGNET (MAny GeNE Trees) is a shell script pipeline within the PIrANHA software package (Bagley 2020) that helps fill this gap by automating inferring a maximum-likelihood (ML) gene tree for each locus in a multilocus dataset. Here, the term "locus" is used loosely to refer to a DNA alignment of homologous nucleotide characters including both variable and invariant DNA sites. The MAGNET package was originally coded up to aid analyses of RAD loci generated by massively parallel sequencing of ddRAD-seq genomic libraries (Peterson et al., 2012). However, MAGNET can be used to estimate gene trees from any multilocus dataset in the appropriate format, and three starting file types are supported: single NEXUS, single G-PhoCS, or multiple PHYLIP files.

HARDWARE AND SETUP

💻 MAGNET focuses on allowing users to automate the workflow necessary for quickly estimating gene trees for many loci on their local machine.

👍 No special hardware or setup is necessary, unless the user is interested in estimating gene trees on a remote supercomputing cluster (see below).

Installation

Downloading, installing, and upgrading MAGNET (on macOS or Linux) is easy thanks to Homebrew distribution.

A. Homebrew install

See here.

Two Homebrew Install Options:

Recommended:

  1. Development (cutting edge) Homebrew install:
# Install:
brew tap justincbagley/homebrew-tap ;
brew update ;
brew install --HEAD magnet ;
piranha -i ;
  1. Regular Homebrew install (stable, but may not be up to date):
# Install:
brew tap justincbagley/homebrew-tap ;
brew update ;
brew install magnet ;

After running one of the installs above, it is recommended that users do source ~/.bash_profile next on macOS, or source ~/.bashrc next on Linux.

B. Regular installation 'by-hand':

You can also install MAGNET manually by

  1. conducting a git clone or wget or manual download of this repository, e.g. git clone https://github.com/justincbagley/MAGNET.git, then
  2. granting the main script execute privileges by doing chmod +x ./MAGNET or chmod +x ./MAGNET.sh, then
  3. installing the dependencies (see below).

C. See also: PIrANHA Homebrew install

MAGNET can also be installed by installing PIrANHA as described in the PIrANHA README and Wiki pages.

SOFTWARE DEPENDENCIES

MAGNET v1.2.0 is a software package composed of shell, R, and Perl scripts and also calls several software programs that it relies on as dependencies. These dependencies are described in some detail in README files for different scripts in the package. However, here I provide a list of them. Dependencies that come standard on UNIX/Linux distributions, such as Perl 5+ or Python, are not listed.

Users must install all software not included in MAGNET, and ensure that it is available via the command line on their local machine. On the user's local machine, Perl should be available by simply typing "Perl" or "perl" at the command line; Python should be available by typing "python" at the command line; and bioscripts.convert package should be available by typing "convbioseq" at the command line. Also, RAxML should be compiled using SSE3 install commands, so that RAxML can be called by simply typing "raxmlHPC-SSE3" on the command line. For detailed instructions for setting up RAxML this way, refer to the newest RAxML user manual (available at: http://sco.h-its.org/exelixis/resource/download/NewManual.pdf).

INPUT FILE FORMAT

MAGNET assumes that you are starting from multilocus DNA sequence data in one of three formats.

The first format that is supported is NEXUS format, with data in a single file having the extension '.nex'.

The second format that is supported is that of a single datafile in G-Phocs (Gronau et al., 2011) format, with the extension '.gphocs'.

For genomic data in aligned sequence format, such as aligned RAD tags (e.g. ddRAD-seq contigs) or other SNP data derived from genotyping-by-sequencing (GBS) methods, the user should assemble the data, call SNPs, and output SNP sequence data files in '.gphocs' or '.nex' format prior to running MAGNET. This can easily be done by running pyRAD or ipyrad (Eaton 2014) while calling for output in all formats (you'll get '.gphocs' and '.nex' files).

However, this may not always be possible, and .gphocs format is not yet among the most popular file formats in phylogenomics/population genomics. Thus, I have added a NEXUS2gphocs.sh shell script utility within MAGNET (in the "shell" folder) that will convert a sequential NEXUS file into .gphocs format for you. An example NEXUS file "example.nex" is included in the distribution. Feel free to use the NEXUS2gphocs.sh utility script independently of MAGNET to convert from NEXUS to .gphocs format. However, when doing this, make sure to follow the usage guidelines below.

The third format that is supported in MAGNET is that of DNA sequence alignments for multiple loci contained in separate PHYLIP files for each locus.

Users must specify the input fileType with the -f flag. Options are as follows:

  • 1 for a single NEXUS-formatted input file (<inputNEXUS>, with extension '.nex'; also accepts a G-PhoCS-formatted input file, with extension '.gphocs'), or
  • 2 for the multiple PHYLIP option.

If -f 1, then the program will expect as standard input (stdin) the name of the <inputNEXUS>. However, if -f 2, then MAGNET expects to encounter multiple PHYLIP files to run on in the current working directory.

PIPELINE

Apart from input file conversion steps, the MAGNET pipeline works by calling five different scripts, in series, each designed to conduct a task whose output is processed in the next step of the pipeline. First, the gphocs2multiPhylip.sh shell script is used to extract loci from the input file and place each locus in a PHYLIP-formatted file with extension '.phy'. Second, a shell script named MultiRAxMLPrepper.sh is used to place the .phy files into separate "run folders" and prepare them to be run in RAxML. Third, a script named RAxMLRunner.sh is called to run RAxML on the contents of each run folder. In a 'clean-up' step, MAGNET moves all '.phy' files files remaining in the working directory to a new folder, phylip_files/, which is created within the working directory.

After running the MAGNET pipeline, the shell script getGeneTrees.sh automates post-processing of the gene trees output by RAxML, including organizing all inferred gene trees into a single gene_trees folder in the working directory, and combining the individual 'best' gene trees resulting from each run into a single file named "besttrees.tre". Also, if bootstrap pseudoreplicates were performed and the bootstrap tree files are detected, then the getBootTrees.sh script conducts similar processing on the bootstrap trees for each loucus, which are collated, renamed, and given a list file containing the name of each file. Given the directory of bootstrap trees resulting from a MAGNET run (bootstrap_trees) can take up substantial disk space (>200 MB), users may wish to compress this directory to a zip file, for example using $ zip -r bootstrap_trees.zip bootstrap_trees/ at the conclusion of a run.

A new feature of MAGNET (as of December 2018) is the <resume> option (-R and --resume flags; e.g. -R 1 or --resume 1), which allow the user to resume a previous MAGNET run in the current working directory.

USAGE

Additional input file and usage information is available in the usage or help texts. To get regular usage info for MAGNET, call for the help text by typing ./MAGNET -h or ./MAGNET --help (long option flag) at the terminal command line, and pressing enter. However, it is more useful (particularly when running for the first time, or after not running for awhile) to get verbose usage information for MAGNET, including detailed descriptions of each option. You can do this by entering ./MAGNET -H or ./MAGNET --Help (long option flag) at the command line.

The verbose usage text is as follows:

$ ./MAGNET -H

Usage: MAGNET [OPTION]...

 Options:
  -f, --filetype     fileType (def: 1; also: 2) starting file type; if 1, script expects as
                     stdin a single input NEXUS file in the current directory; if 2, then
                     script expects multiple input PHYLIP files in current directory
  -i, --input        inputNEXUS (def: NULL) input NEXUS file (mandatory for -f 1)
  -e, --exec         executable (def: raxml) name of RAxML executable available
                     from user's command line interface
  -b, --boot         numBootstraps (def: 100) RAxML bootstrap pseudoreplicates
  -r, --raxmlmodel   raxmlModel (def: GTRGAMMA; other: GTRGAMMAI, GTRCAT, GTRCATI)
  -s, --simplemodel  simpleModel (def: NULL; other: JC69, K80, HKY85) specifies 
                     simple DNA substitution model that will override any other model (even 
                     across partitions)
  -g, --gapthresh    gapThreshold (def: 0.001=essentially zero gaps allowed unless 
                     >1000 individuals; takes float proportion value) gap threshold value
  -m, --missing      indivMissingData (def: 1=allowed; 0=removed) missing data setting
  -o, --outgroup     outgroup (def: NULL) outgroup given as single taxon name (tip label) or
                     comma-separted list
  -h, --help         echo this help text and exit
  -H, --Help         echo verbose help text and exit
  -V, --version      echo version and exit
  -R, --resume       resume (def: 0, off; 1, on) option allowing user to resume a previous 
                     MAGNET run in the current working directory
  -d, --debug        debug (def: 0, off; 1, on) run function in Bash debug mode

 OVERVIEW
 The goal of MAGNET is to infer a maximum-likelihood (ML) gene tree in RAxML for each of 
 multiple loci, starting from one or multiple DNA sequence alignment input files. If supplied
 with a single G-PhoCS ('*.gphocs') or NEXUS ('*.nex') data file (using -f1 or -i <inputNEXUS> 
 -f1 options), then each locus is split into a separate PHYLIP alignment file, and RAxML 
 (Stamatakis 2014) is run to infer gene trees for each locus. If a NEXUS datafile is supplied, 
 it is converted into G-PhoCS format (Gronau et al. 2011) while splitting loci into separate 
 interleaved sequence blocks based on information provided in a sets block at the end of the 
 NEXUS file (e.g. defined using 'charset' commands), which is mandatory. However, if -f2, then 
 the program will run in current directory, assuming it contains multiple PHYLIP-formatted 
 alignment files. Under this scenario, MAGNET will skip directly to running the PHYLIP files 
 in RAxML using user-specified options. 
	Sequence names may not include hyphen characters, or there could be issues. For detailed 
 information on MAGNET and its various dependencies, see 'README.md' file in the distribution 
 folder; however, it is key that dependencies are available from the command line interface. 
 Among the most important options is <resume> (-r|--resume, off by default), which tells the
 program to resume a previous MAGNET run in current directory, including detecting incomplete 
 RAxML run folders, and running RAxML without overwriting results from the previous run(s).

 DETAILS
 The -f flag (also --filetype) specifies the starting fileType. If -f 1, then the mandatory 
	input is the name or path to the corresponding <inputNEXUS> starting file, which is 
	passed using the -i|--input flag. If -f 2, then mandatory input is the name or path to 
	the working directory (type '.' for current directory, or supply a relative or absolute 
	path).
 
 The -i flag (also --input) passess the name of the input NEXUS file, <inputNEXUS> parameter, 
    to the program.

 The -e flag (also --exec) sets the name of the RAxML executable that will be called. The 
    default executable name is 'raxml', but the user may wish to change this to something 
    specific to their install or parallelization needs (e.g. 'raxmlHPC-PTHREADS-SSE3'). The
    default setting should work on local machine or supercomputing cluster installs. However, 
    this should be tested beforehand by entering 'raxml' at the command prompt. On some 
    version fo Linux this yields the following error message:

	   'raxml: error while loading shared libraries: libmpi.so.12: cannot open shared object 
	    file: No such file or directory'.

	If this occurs, then Open MPI related libraries are installed in a non-standard location 
	and you will need to add this location to your LD_LIBRARY_PATH, e.g.:

	'export LD_LIBRARY_PATH=/usr/local/openmpi-1.8.1/lib:'
 
	See the following URL: for more insight into this problem: https://stackoverflow.com/
    questions/14769599/mpi-error-loading-shared-libraries. However, simply using a different 
    raxml executable that does not rely on these libararies will also immediately solve the 
    problem. In my experience, just setting MAGNET to call the 'raxmlHPC' executable immed-
    iately solves this issue on Mac and Linux (so also try simply running MAGNET with '-e 
    raxmlHPC' or '--exec raxmlHPC').
  
 The -b flag sets the number of boostrap pseudoreplicates for RAxML to perform while 
    estimating the gene tree for each locus. The default is 100; remove bootstrapping by 
    setting to 0.

 The -r flag sets the RAxML model for each locus. This uses the full default GTRGAMMA model,
	and at present it is not possible to vary the model across loci. If you want to use HKY
	or K80, you will need to use the -s flag (below).

 The -s flag sets a simple RAxML model for each locus/partition, which will override any
	model set using the -r flag above and apply to all partitions. In the current version of 
	RAxML, it is possible to specify the JC69, K80, and HKY85 models as overrides. By default,
	this option is turned off and the model set under the -r flag is used instead.

 The following two options are available **ONLY** if you are starting from a NEXUS input file:

	The -g flag supplies a 'gap threshold' to an R script, which deletes all column sites in 
	the DNA alignment with a proportion of gap characters '-' at or above the threshold value. 
	If no gap threshold is specified, all sites with gaps are removed by default. If end goal
	is to produce a file for G-PhoCS, you  will want to leave <gapThreshold> at the default. 
	However, if the next step in your pipeline involves converting from .gphocs to other data 
	formats, you will likely want to set <gapThreshold> = 1 (e.g. before converting to PHYLIP 
	format for RAxML). 

	The -m flag allows users to choose their level of tolerance for individuals with missing
	data. The default is <indivMissingData> = 1, allowing individuals with runs of 10 or more 
	missing nucleotide characters ('N') to be kept in the alignment. Alternatively, setting
	<indivMissingData> = 0 removes all such individuals from each locus; thus, while the input
	file would have had the same number of individuals across loci, the resulting file could
	have varying numbers of individuals for different loci.

 The -o flag sets the outgroup exactly the same way as that described in the RAxML v8 user's
	manual, as a single name or as a comma-separated list with no spaces between taxon names. 
	The first name in the list is prioritized, e.g. when members of the list are not mono-
    phyletic.

 -R | --resume is among the most important options available in MAGNET because it tells the 
	program to resume a previous run in current directory, including to detect incomplete run 
	subfolders and run RAxML there without overwriting results from run folders with finished 
	runs. The default setting is to run without this option.

 The -d flag runs this function in Bash debug mode (set -xv), which is intended for debugging
	for development purposes. If you find a bug, please contact the author at jbagley@jsu.edu.

 Usage examples:

    ./MAGNET -f 2 -b 100 -g 1 -m 1                        Run MAGNET with 100 bootstrap pseudo-
                                                          replicates, gaps allowed, missing 
                                                          data allowed, and the GTRGAMMA model
    ./MAGNET -f 2 -b 100 -s HKY85 -g 1 -m 1               Same as above, but using the simpler
                                                          HKY85 substitution model for all loci    
    ./MAGNET -f 2 -e raxmlHPC -b 100 -s HKY85 -g 1 -m 1   Same as above, but using raxmlHPC 
                                                          executable
    ./MAGNET -H                                           Show this help text and exit

 CITATION
 Bagley, J.C. 2020. PIrANHA v0.4a4. GitHub repository, Available at:
	<https://github.com/justincbagley/piranha>.

 REFERENCES
 Gronau, I., Hubisz, M.J., Gulko, B., Danko, C.G., Siepel, A. 2011. Bayesian inference of 
	ancient human demography from individual genome sequences. Nature Genetics, 43, 1031-1034.
 Stamatakis, A. 2014. RAxML version 8: a tool for phylogenetic analysis and post-analysis of 
	large phylogenies. Bioinformatics, 30, 1312-1313.

 Created by Justin Bagley on/before Aug 29 13:12:45 2016 -0700.
 Copyright (c) 2016-2020 Justin C. Bagley. All rights reserved.

NOTES ON NEXUS2gphocs USAGE

  • You may use NEXUS2gphocs.sh as a standalone script for converting prior to running G-PhoCS on your data.
  • However, in its current form, you must move NEXUS2gphocs.sh (out of the shell folder) and rmGapSites.r (out of the R folder) into the MAGNET directory in order to run NEXUS2gphocs as a standalone script (this assumes the target is also located in the MAGNET dir). You could also move both scripts into another working directory containing your target .
  • You can get the usage info for NEXUS2gphocs.sh, in similar fashion to that above, by typing ./NEXUS2gphocs.sh, ./NEXUS2gphocs.sh -h ., or ./NEXUS2gphocs.sh -help into the command line, and then pressing enter. The NEXUS2gphocs usage text is sufficiently similar to the latter part of the MAGNET usage printed above that it doesn't bear repeating here.

USAGE EXAMPLES

Below I give some examples of how to use the software under the two most common scenarios:

SCENARIO 1. If your data contain very little missing data and, in particular, they contain no individuals with all missing data for a locus, then it should be fine to run MAGNET using the default options on either a single input file (-f 1) or multiple PHYLIP input files (-f 2), as follows:

# Scenario 1, generic usage:
./MAGNET -i <inputNEXUS> -f 1
./MAGNET -f 2 	 	## multiple PHYLIP input files case.

# Examples:

# Short option flags:
cd ~/Downloads/MAGNET-master/ ;
cp ./archive/example.nex . ;
./MAGNET -i example.nex -f 1
./MAGNET -f 2   	## multiple PHYLIP input files case.

# Same as above, but with long option flags:
cd ~/Downloads/MAGNET-master/ ;
cp ./archive/example.nex . ;
./MAGNET --input example.nex --filetype 1
./MAGNET --filetype 2

SCENARIO 2. If your data are relatively lower quality data (e.g. from NGS runs) and you have lots of missing data, including individuals with all missing data for a locus (as is common for RAD tag/SNP data), then RAxML will not run properly under the default MAGNET options. You will likely get up to ~10 messages like "ERROR: Sequence XXXXX consists entirely of undetermined values which will be treated as missing data", follwed by a summary like this: "ERROR: Found 10 sequences that consist entirely of undetermined values, exiting...", and RAxML will quit. The rest of the pipeline will be affected, for example the final summary gene tree file will make no sense because it will simply include a concatenation of all files in the working directory.

To avoid the above issues caused by large amounts of missing data, you should run MAGNET while setting the -m flag to 0 (indivMissingData=0) to specify that individuals with missing data are NOT allowed:

# Scenario 2, all params except <indivMissingData> set to default options:
./MAGNET -i <inputNEXUS> -f 1 -m 0
./MAGNET -f 1 -m 0   	## multiple PHYLIP input files case.

# Example:
cd ~/Downloads/MAGNET-master/
./MAGNET -i example.nex -f 1 -m 0
./MAGNET -f 2 -m 0  	## multiple PHYLIP input files case.

In addition to the above, here are illustrations of more complex usage cases varying the RAxML options:

# Scenario 1, GTRCAT model, instead of the default GTRGAMMA model:
./MAGNET -i <inputNEXUS> -f 1 -r GTRCAT
./MAGNET -f 2 -r GTRCAT     ## multiple PHYLIP input files case.

# Scenario 1, adding name of an outgroup taxon:
./MAGNET -i <inputNEXUS> -f 1 -r GTRCAT -o outgroup
./MAGNET -f 2 -r GTRCAT -o outgroup     ## multiple PHYLIP input files case.

# Scenario 1, overriding -r model with HKY85 and adding an outgroup:
./MAGNET -i <inputNEXUS> -f 1 -r GTRCAT -s HKY85 -o outgroup
./MAGNET -f 2 -r GTRCAT -s HKY85 -o outgroup    ## multiple PHYLIP input files case.

# Scenario 2, 500 bootstrap reps per locus, instead of the default 100:
./MAGNET -i <inputNEXUS> -f 1 -b 500 -m 0
./MAGNET -f 2 -b 500 -m 0     ## multiple PHYLIP input files case.

# Scenario 2, *zero* bootstrap reps per locus:
./MAGNET -i <inputNEXUS> -f 1 -b 0 -m 0
./MAGNET -f 2 -b 0 -m 0       ## multiple PHYLIP input files case.

Here are complex usage examples similar to those just above, only illustrating the long option flags:

# Scenario 1, overriding the default model with HKY85 and adding an outgroup:
./MAGNET --input <inputNEXUS> --filetype 1 --raxmlmodel GTRCAT --simplemodel HKY85 --outgroup outgroup
./MAGNET --filetype 2 --raxmlmodel GTRCAT --simplemodel HKY85 --outgroup outgroup

ACKNOWLEDGEMENTS

I gratefully acknowledge Nayoki Takebayashi, who wrote and freely provided some Perl scripts I have used in PIrANHA and MAGNET. I also thank the Brigham Young University Fulton Supercomputing Lab (FSL) for providing computational resources used during the development of this software. J.C.B. received stipend support from a Ciência Sem Fronteiras (Science Without Borders) postdoctoral fellowship from the Brazilian Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq; Processo 314724/2014-1). Lab and computer space was also supplied by The University of Alabama, during an internship in the Lozier Lab in the UA Department of Biological Sciences.

REFERENCES

  • Bagley, J.C. 2020. PIrANHA v0.4-alpha4. GitHub repository, Available at: http://github.com/justincbagley/piranha/.
  • Chifman, J., Kubatko, L., 2014. Quartet inference from SNP data under the coalescent model. Bioinformatics 30, 3317–3324.
  • Eaton, D.A.R. 2014. PyRAD: assembly of de novo RADseq loci for phyloge-netic analyses. Bioinformatics 30, 1844–1849.
  • Gronau, I., Hubisz, M.J., Gulko, B., Danko, C.G., Siepel, A. 2011. Bayesian inference of ancient human demography from individual genome sequences. Nature Genetics 43, 1031-1034.
  • Larget, B.R., Kotha, S.K., Dewey, C.N., Ané, C. 2010. BUCKy: gene tree/species tree reconciliation with Bayesian concordance analysis. Bioinformatics 26(22):2910-2911.
  • Liu, L., Yu, L., Edwards, S.V. 2010. A maximum pseudo-likelihood approach for estimating species trees under the coalescent model. BMC Evol Biol 10(1):302.
  • Liu, L., Yu, L. 2011. Estimating species trees from unrooted gene trees. Syst Biol 60(5):661-667.
  • Mirarab, S., Warnow, T. 2015. ASTRAL-II: coalescent-based species tree estimation with many hundreds of taxa and thousands of genes. Bioinformatics 30:44-52.
  • Peterson, B.K., Weber, J.N., Kay, E.H., Fisher, H.S., Hoekstra, H.E. 2012. Double digest RADseq: an inexpensive method for de novo SNP discovery and genotyping in model and non-model species. PLoS One 7, e37135.
  • Stamatakis, A. 2014. RAxML version 8: a tool for phylogenetic analysis and post-analysis of large phylogenies. Bioinformatics 30.9, 1312-1313.
  • Vachaspati, P., Warnow, T. 2015. ASTRID: Accurate Species TRees from Internode Distances. BMC Genomics 16(Suppl 10):S3.

January 4, 2021 - Justin C. Bagley, Jacksonville, AL, USA