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A Rough Guide to BEAST 1.4
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1. 15 2 7 1 Length of chain This is the number of generations that the MCMC algorithm will run for The length of chain depends on the size of the data set the complexity of the model and the quality of the sample required The aim of setting the chain length is to achieve a reasonable ESS especially for the parameters of interest A very very rough rule of thumb is that for x taxa individuals you need a generation time chain length proportional to x Thus if for 100 sequences a 30 000 000 step chain gives good results then for 200 similar sequences we may need a chain of 120 000 000 steps 2 7 2 Logging options The Echo state to screen option determines how often a summary of the state is outputted to the BEAST console window e g every 1 000 generations This option is only important for people that have enough spare time to monitor BEAST s progress as it runs The Log parameters every option determines how often parameter values are written to the log file e g every 100 genera tions Dividing the number of generations in the MCMC chain by the value specified for Log parameters every will give you the sample size at the end of the BEAST run Ideally you should aim for a sample size of between 1000 and 10 000 logged parameter values Logging more samples will simply produce very large output files which may be difficult to analyse in other programs 2 7 3 File names The log file name tree file nam
2. For example if you wanted to give BEAST 1024Mb of memory you would use the following command java Xms1024m Xmx1024m jar lib beast jar 3 5 BEAST output and results At the end of the run report of performance of the operators will be outputted to the BEAST console window This table will display the operators their acceptance probabilities the final values of the associated tuning values and a textual message indicating whether they were successfully tuned to the right level for the given data set low good slightly high too high etc The operator 19 tuning parameters can be changed either directly in the XML file or in the Operator panel in BEAUti This level of tuning is optional as it will not alter the results that you will get However it will increase the ESSs in future runs The main output from BEAST is a simple tab delimited plain text file format log file with a row for each sample the number of rows are dictated by the log frequency specified in the BEAST XML file When accumulated into frequency distributions this file provides an estimate of the marginal posterior probability distribution of each parameter This can be done using any standard statistics package or using the specially written package TRACER TRACER provides a number of graphical and statistical ways of analysing the output of BEAST to check performance and accuracy It also provides specialized functions for summarizing the posterior dist
3. The characters lt and gt are used to signal the end of an element e g lt beast gt The end of an element is called a close tag and cannot have attributes Between the open and close tags of an element are its contents Ina BEAST XML file all contents are inside the beast element When an element has no contents other than attributes the characters lt and gt can be used instead so that the open and close tags are merged into one e g lt taxon id Medi gt The attribute id is used to give an element a unique identifier The attribute idref is used to refer to a previously defined element that has the correspond ing id An id can be any string of characters but it is customary style to choose meaningful parameter ids that contain information about what part of the model the parameter is associated with and what the parameter represents e g treeModel rootHeight All attributes of an element must always be inside double quotes Comments can be inserted anyware within the XML file These comments will be completely ignored by BEAST A comment has a special character se quence at the beginning and end lt This is a comment gt Besides describing what different parts of the XML file are for comments can be helpful if you want to work out what command is causing a BEAST run to stall or not work properly Placing the comment symbols lt and gt around an element will cause BEAST to ignore the element If this i
4. Under the priors column is listed the type of prior that is being utilized for each parameter in the model Choosing the appropriate prior is important For example if your sequences are all collected from a single time point then the overall evolutionary rate must be specified with a strong prior The units of the prior will then determine the units of the node heights in the tree the age of the MRCA and the units of the demographic parameters such as population size and growth rate Depending on the type of prior that you want there are several choices Clicking on the prior for the parameter in question brings up a menu with the following options For divergence time estimation calibrations are made by placing priors on the treeModel rootHeight and tmrca taron group parameters There are a number of prior distributions that may be appropriate Uniform This prior allows you to set up an upper and lower bound on the parameter For example you could set an upper and lower bound for the constant popSize parameter The initial value must lie between the upper and lower bounds Normal This prior allows the parameter to select values from a specified normal distribution with a specified mean and standard deviation Lognormal This prior allows the parameter to select values from a specified lognormal distribution with a specified mean and standard devia tion in log units In addition it is possible to specify a translated lognormal d
5. gt lt node gt lt node gt lt taxon idref E1Sal194 gt lt node gt lt node gt lt node gt lt node gt lt node gt lt taxon idref Indon76 gt lt node gt lt node gt lt taxon idref Indon77 gt lt node gt lt node gt lt node gt lt tree gt 4 2 7 TreeModel block element This element defines the node height divergence time parameters It contains a reference to the starting tree element and defines various tree parameters such as treeModel rootHeight the tmrca of the tree and internal node heights The units of these parameters will be determined by calibration infor mation i e generally years months or days for serial time stamped data sets or substitutions site for non time stamped data sets without rate date priors BEAUti generates this block automatically lt treeModel id treeModel gt lt coalescentTree idref startingTree gt lt rootHeight gt lt parameter id treeModel rootHeight gt lt rootHeight gt lt nodeHeights internalNodes true gt lt parameter id treeModel internalNodeHeights gt lt nodeHeights gt 25 lt nodeHeights internalNodes true rootNode true gt lt parameter id treeModel allInternalNodeHeights gt lt nodeHeights gt lt treeModel gt 4 2 8 Bayesian Skyline Plot element block This element block is used when an analysis involves the Bayesian Skyline Plot tree prior An upper limit on the population size can be specified by adding the
6. HVR1 and HVR2 of the mtDNA control region In BEAUti you can partition into codon positions and unlink substitution model and among site heterogeneity parameters Unfortu nately all other data partitioning must be done by manually editing the XML file First of all for multi locus data you need each locus to have a separate alignment block Second you need to duplicate the patterns element so that each partition has a patterns element For partitioning between codon positions 30 the from attribute in a patterns element represents the codon position 1 2 or 3 and the every attribute should be set to 3 Below is an example of a multi locus data set 2 genes alignments each split into 3 codon positions for a total of 6 partitions lt patterns id patterns1_E1 from 1 every 3 gt lt alignment idref alignment1 gt lt patterns gt lt patterns id patterns2_E1 from 2 every 3 gt lt alignment idref alignment1 gt lt patterns gt lt patterns id patterns3_E1 from 3 every 3 gt lt alignment idref alignment1 gt lt patterns gt lt patterns id patterns1_E2 from 1 every 3 gt lt alignment idref alignment2 gt lt patterns gt lt patterns id patterns2_E2 from 2 every 3 gt lt alignment idref alignment2 gt lt patterns gt lt patterns id patterns3_E2 from 3 every 3 gt lt alignment idref alignment2 gt lt patterns gt Finally in order that each partiti
7. from published data we know that during the height of the last glacial cycle of the Pleistocene ice age approximately 20 000 10 000 years ago species A also lived in the geographical area B Thus any undated sub fossil bones of species A from geographical area B have to have an average age of 15 000 years Finally glacial U shaped valleys are an indication that the valley was under a glacier during the height of the last glacial cycle These en vironments did not open up for colonization by plants and animals until 10 000 14 000 years ago Thus any sub fossil remains found in these val leys have to be younger than 10 000 14 000 years with an average age of 5 000 7 000 years 2 2 4 Height column This refers to the height age of each sequence relative to the youngest se quence For non dated sequences all heights will be zero For time stamped data BEAUti will designate the youngest most modern sequence as height zero and calculate the age height of all other dated sequences relative to this This information along with the mutation rate will be used to estimate the age height of internal nodes in the tree such as the treeModel rootHeight the age of the root of the tree For modern sequences dates of divergence are set by creating priors on either internal nodes or the overall rate of substitution 2 2 5 Sequence column This column shows the DNA sequence alignment specified in the NEXUS input file 2
8. 2 BEAST XML format Below is the structure of the various sections of the XML BEAST file an expla nation of their structure and how to set up the relevant parts of the file This is by no means an exhaustive list of what can be incorporated into the BEAST XML file but will provide a guide to setting one up and how to partition data sets into various genes and codon positions and perform a few moderately 20 complicated analyses For further information please visit the following link http beast bio ed ac uk BEAST_XML Reference XML files can be constructed in NotePad WordPad or an XML editor It is important however that if XML files are constructed in NotePad or WordPad that they are saved as Plain Text files and not Rich Text files The majority of the following structural elements can be specified in BEAUti However knowing the structure behind them is an important step towards understanding how BEAST works The following sections are shown in roughly the order that they appear in the BEAST XML file 4 2 1 Some general rules of XML and the BEAST format The BEAST XML file always starts and ends with lt beast gt and lt beast gt respectively The characters lt and gt are used to bracket the beginning of an element e g lt beast gt This beginning of an element is called an open tag The open tag may have attributes in the form of name value pairs e g lt mcmc id memc chainLength 10000000 autoOptimize true gt
9. Invariant Sites in the site heterogeneity model This parameter is the proportion of invariant sites Pinv and has a range between 0 and 1 This param eter only appears when you have selected Invariant sites or Gamma Invariant Sites in the site hetero geneity model The starting value must be less than 1 0 This parameter represents the total height of the tree often known as the tmrca The units of this variable are the same as the units for the branch lengths in the tree and will depend on the calibration information for the rate and or dates of calibrated nodes This is the mean of the branch rates under the un correlated lognormal relaxed molecular clock and is similar but not the same as the mean number of sub stitutions per site per unit time see meanRate above If r is the rate on the ith branch then ucld mean is sts J21 ri and does not take into account the fact that some branches are longer than others This pa rameter can be in real space or in log space depending on the BEAST XML However under default BEAUti options for the uncorrelated log normal relaxed clock this parameter has the same units as clock rate If you want to constrain the mean rate of the relaxed clock with a prior you should either set a prior on ucld mean or meanRate but not both as they are very highly correlated via the r parameters This is the standard deviation of the uncorrelated lognormal relaxed clock in log space If
10. LogCombiner or TRACER This will help increase the ESS of your analysis and also will allow you to determine if the two independent runs which will typically have different random starting trees are converging on the same distribution in the MCMC run If they do not converge on the same distribution then one or both of the runs have failed to converge on the posterior distribution 3 3 Errors running BEAST There are two broad types of error messages that appear in the BEAST window XML errors and BEAST errors 3 3 1 XML errors The most general error message is Parsing error the input file is not a valid XML file As this error suggests the file you have selected is probably not even an XML file Another possible error message is Parsing error poorly formed XML possibly not an XML file The markup in the document following the root element must be well formed 17 This error message means that the input file was recognized as an XML document but it contains a syntax error that prevents the XML file from being parsed When more detailed XML errors appear this means that there is something wrong with the syntax of the XML file but it is mostly well formed This gener ally only happens if the BEAST XML file has been manually edited The error message will usually tell you what the XML error is and what line character the error is located A common XML error occurs when one of the elements does not have a closing tag see next
11. a combination of dated and undated sequences This poses a problem when analysing these data sets with BEAST There are a couple of options available to resolve this It is important however not to leave a date for any aDNA sequence as zero BEAST will assume that this sequence has an age of zero i e is a modern sequence which will bias the parameter estimates such as mutation rate divergence times and population sizes There are a few of options 1 Exclude non dated aDNA sequences from the analysis Sequences can be highlighted in the Data window and then deleted by selecting Delete from the Edit menu 2 Have two to three carbon dated aDNA sequences from each sub fossil deposit or find published dates for the sub fossil deposit Use these dates to calculate an average age for the deposit 3 If the first two options are not available the nature of the deposit and the local geography can be used to calculate an average age of the de posit aDNA sequences For example In New Zealand sea levels after the last glaciation did not stabilize at present levels until 6 000 years ago Once stabilization occurred and not before coastal sand dunes formed with swamps forming behind these dunes trapping moa Thus the majority of coastal swamp deposits are less than 6 000 years old with an average age of around 3 000 years Another example is During the Holocene species A lived in the geographical area A However
12. be less than 1 0 or BEAST will fail to run Finally selecting Gamma and Invariant Sites will combine the two sim pler models of among site rate heterogeneity so that there will be a proportion of invariant sites and the rates of the remaining sites are assumed to be T distributed 2 4 3 Number of Gamma categories This combo box allows the user to choose the number of categories for the discrete approximation of the Gamma distribution 25 2 4 4 Partitioning into codon positions BEAST provides the ability to analyse multiple data partitions simultaneously which share or have separate parameters for each partition If the analysis concerns just non coding DNA like mtDNA control region select Off from the menu Partitioning is useful when combining multiple genes e g cyt b and COI protein and non coding sequence data control region and cytochrome b and nuclear and mitochondrial data or to allocate different evolutionary processes to different regions of a sequence alignment like codon positions By partitioning your data this allows more information from the data set to be extracted In BEAUti you can only partition into Ist 2nd and 3rd codon positions All other partitioning must be done by editing the XML file There are two choices Partitioning into 1 2 3 keeps the 1st and 2nd positions in one partition slower substitution rate due to their constrained nature in coding for amino acids and the 3rd positio
13. case of the exponential growth model can be sampled and estimated For species level phylogenies coalescent priors are generally inappropriate In this case we suggest that you use the Yule tree prior The Yule tree prior assumes a constant speciation rate per lineage This prior has a single parameter yule birthRate that represents the average net rate of lineage birth Under this prior branch lengths are expected to be exponentially distributed with a mean of yule birthRate 2 5 2 UPGMA starting tree The UPGMA tree is a useful option when you have lots of constraints and priors on your starting tree that must be satisfied 2 5 3 Parameters Crucial to the interpretation of all BEAST parameters is an understanding of the units that the tree is measured in The simplest situation occurs when no calibration information is available either from knowledge of the rate of evolution of the gene region or from knowledge of the age of any of the nodes in the tree If this is the case the rate of evolution is set to 1 0 and the branch lengths in the tree are then in substitutions per site However if the rate of evolution is known in substitutions per site per unit time then the genealogy will be expressed in the relevant time units Likewise if the age of one or more nodes internal or external are known then this will also provide the units for the rest of the branch lengths and the rate of evolution Note that only the set of parameters th
14. describes the un correlated lognormal relaxed clock lt discretizedBranchRates id discreteBranchRates gt lt treeModel idref treeModel gt lt distribution gt lt logNormalDistributionModel id I1nd meanInRealSpace true gt lt mean gt lt parameter id 1ndMean value 1e 2 lower 0 upper 10 gt lt mean gt lt stdev gt lt parameter id 1ndStDev value 1e 3 lower 0 upper 10 gt lt stdev gt lt logNormalDistributionModel gt lt distribution gt lt rateCategories gt lt parameter id rateCategories dimension 12 gt lt rateCategories gt lt discretizedBranchRates gt For exponentially distributed rates the XML looks like lt discretizedBranchRates id discreteBranchRates gt lt treeModel idref treeModel gt lt distribution gt lt exponentialDistributionModel id ed gt lt mean gt lt parameter id edMean value 1e 2 lower 0 upper 10 gt lt mean gt lt exponentialDistributionModel gt lt distribution gt lt rateCategories gt lt parameter id rateCategories dimension 12 gt lt rateCategories gt lt discretizedBranchRates gt There are several aspects of the above elements that require some attention Firstly in the lognormal uncorrelated relaxed clock the meanInRealSpace at tribute determines whether the mean of the distribution is described in standard units true or log units false This choice will have an effect on the implicit prior distri
15. highly structured XML input format is to facilitate reproducibility of complex evolutionary analyses We strongly encourage the routine publication of XML input files as supplementary information with publication of the results of a BEAST analysis Because of the non trivial nature of MCMC analyses and the need to promote reproducibility it is our view that the publication of the exact details of any Bayesian MCMC analysis should be made a pre requisite for publication of all MCMC analysis results 3 2 Running BEAST When you open the BEAST software it will ask you to select your BEAST XML input file If the XML file is correct i e no XML or BEAST errors then BEAST will run through the various commands and statistics that you have specified in the BEAST XML file This will be followed by the pre burn in phase a defined number of MCMC generations that are discarded at the very beginning of the MCMC run During the pre burn in phase the operators are not auto optimized so as to prevent the operators optimizing incorrectly due to the very different conditions at the start of the run when the tree is still random The symbols should extend along the dotted line towards towards 100 Once this has occurred BEAST will start logging to screen and the log file the posterior sample values given the model specified in the BEAST XML file Note you should always carry out at least two independent BEAST runs and then combine the log output files using
16. lt taxon gt lt taxon id Medi_7000_50 gt lt date value 7000 0 direction backwards units years gt lt taxon gt lt taxon id Medi_2000_50 gt lt date value 2000 0 direction backwards units years gt lt taxon gt lt taxon id Medi_1000_50 gt lt date value 1000 0 direction backwards units years gt lt taxon gt lt taxa gt 4 2 3 Defining subsets of the taxa element block Multiple sets of taxa can be defined by successive taxa elements Say we have already defined the chimpanzee and bonobo taxa but want to group them to gether so that BEAST creates a tyyrca Statistic for this group This is done in the following manner Remember that since you have already defined these taxon elements previously you only need to use the idref attribute Grouping taxa into a taxa element does not constrain the taxa to be monophyletic in the BEAST analysis Defining these taxon subsets can also be done in the Taxa panel within BEAUti lt taxa id Pan gt lt taxon idref chimp gt lt taxon idref bonobo gt lt taxa gt 4 2 4 Alignment element block The alignment element is used to specify the multiple sequence alignment that will be analysed Once again you must define the alignment block with a unique id and also specify the data type nucleotide aminoAcid with the dataType attribute Each sequence element should reference a previously defined taxon element as well as the aligned sequence wi
17. model with the parameters associated with among site rate heterogenetiy A siteModel XML element will be generated similar to the following based on choices in the Model panel in BEAUti lt siteModel id siteModel gt lt substitutionModel gt lt hkyModel idref hky gt lt substitutionModel gt lt gammaShape gammaCategories 4 gt lt parameter id siteModel alpha value 1 0 lower 0 0 upper 100 0 gt lt gammaShape gt lt proportionInvariant gt lt parameter id siteModel plnv value 0 01 lower 0 0 upper 1 0 gt lt proportionInvariant gt lt siteModel gt 4 2 15 Tree likelihood element This element draws together all the components involved in the tree likelihood calculation Once again it has a unique treeLikelihood id Listed under this parameter are the already defined parameters that will be used to calculate the treelikelihood This is automatically done in BEAUti lt treeLikelihood id treeLikelihood gt lt patterns idref patterns gt lt treeModel idref treeModel gt lt siteModel idref siteModel gt lt strictClockBranchRates idref branchRates gt lt treeLikelihood gt 4 2 16 Partitioning Data BEAUti provides an easy way to partition your alignment into codon positions 1st 2nd and 3rd However by editing the XML it is also possible to partition your data into different genes nuclear versus mitochondrial DNA coding ver sus non coding or even different non coding regions
18. on the specific parameters that you have specified in the XML file Subtree slide narrow exchange and wide exchange operators all act on the tree Each operator has a weight which determines how often the operator acts on the specified parameter Most of this does not need to be changed and automatically generated based on what you have specified in BEAUti However if you are partitioning data then this becomes more complicated as each partition in the data needs its own set of operators lt operators id operators gt lt scaleOperator scaleFactor 0 25 weight 1 adapt false gt lt parameter idref gtri ac gt lt scaleOperator gt lt scaleOperator scaleFactor 0 4305 weight 1 adapt false gt lt parameter idref gtri ag gt lt scaleOperator gt lt scaleOperator scaleFactor 0 1853 weight 1 adapt false gt lt parameter idref gtr1 at gt lt scaleOperator gt lt scaleOperator scaleFactor 0 1853 weight 1 adapt false gt lt parameter idref gtri cg gt lt scaleOperator gt lt scaleOperator scaleFactor 0 1853 weight 1 adapt false gt lt parameter idref gtri gt gt lt scaleOperator gt lt scaleOperator scaleFactor 0 5 weight 1 gt lt parameter idref siteModel alpha gt lt scaleOperator gt lt scaleOperator scaleFactor 0 5 weight 1 gt lt parameter idref siteModel pInv gt lt scaleOperator gt lt scaleOperator scaleFactor 0 5 weight 1 gt lt parame
19. proposes new states to move to Appropriate choice of weights and tuning parameter values will allow the MCMC chain to reach equilibrium stationary phase faster and sample the target distribution more efficiently Each parameter in the substitution model has one or more operators A scale operator scales the parameter up or down by a random scale factor with the tuning parameter deciding the range of scale factors to choose from The random walk operator adds or subtracts a random amount 0 to or from the parameter Again the tuning parameter window size w is used to specify the range of values that can take 6 Uniform w 2 w The uniform operator simply proposes a new value uniformly within a given range On the left hand side of this window is listed the parameters that are going to be operated including the phylogeny itself which has its own set of operators Next to this is the type of operator that will be used 2 6 1 Tuning The tuning column gives the tuning setting to the operator Some operators do not have a tuning setting so have a N A Changing the tuning setting will set how large a move that operator will make which will affect how often that change is accepted by the MCMC algorithm 2 6 2 Weighting The weight column specifies how often each operator is used to propose a new state in the MCMC chain Some parameters have very little interaction with 14 the rest of the model and as a result tend to be estimated very eff
20. starting tree is to specify a user defined tree in NEWICK format This tree can also be scaled to a different time scale au tomatically by specifying a rootHeight attribute Starting with a user defined tree is often necessary if there are constraints on the tree imposed by prior distributions on divergence times or the tree topology The NEWICK for mat is used in many programs including PHYLIP and PAML and is embed ded within the NEXUS format used by PAUP Once again you must delete 24 lt coalescentTree idref startingTree gt from the tree model element and replace it with lt newick idref startingTree gt lt newick id startingTree units years gt Mus_musculus 20 Rattus_norvegicus 20 45 Pan_paniscus 2 Pan_troglodytes 2 4 Homo_sapiens 6 2 Gorilla_gorilla 8 5 Pongo_pygmaeus 13 52 lt newick gt Finally you can specify a tree using XML format This will start with an element representing the tree that contains a node element representing the root of the tree This element will in turn contain two or more node elements representing its descendants which in turn contain their descendant nodes A node that represents a sampled taxon contains no descendant nodes but a taxon element or reference to one This is done by manually editing the XML file lt tree id Tree2 gt lt node gt lt node gt lt node gt lt taxon idref Brazi82 gt lt node gt lt node gt lt node gt lt taxon idref E1Sal183
21. upper attribute to the skyline popSize parameter below This can also be done from the Priors panel in BEAUti Here is an example of the XML lt generalizedSkyLineLikelihood id skyline linear false gt lt populationSizes gt lt parameter id skyline popSize dimension 5 value 100 lower 0 0 upper 1000 0 gt lt populationSizes gt lt groupSizes gt lt parameter id skyline groupSize dimension 5 gt lt groupSizes gt lt populationTree gt lt treeModel idref treeModel gt lt populationTree gt lt generalizedSkyLineLikelihood gt 4 2 9 The tyroa statistic element block This element represents the tmprca for a pre defined taxon subset This statistic represents the divergence time of the node representing the MRCA of the given taxa regardless of whether the taxa are monophyletic in the tree This statistic thus allows a particular divergence time to be logged even though tree topology may be changing By logging this statistic you can obtain a Bayesian posterior distribution of the divergence of the MRCA of the specified taxa It has its own unique id and the element references the treeModel that will be used to construct a phylogeny from your data lt tmrcaStatistic name time_Pan gt lt treeModel idref treeModel1 gt lt mrca gt lt taxa idref Pan gt lt mrca gt lt tmrcaStatistic gt You can also create a uniform normal or lognormal prior with appropriate parameters on a tmprca St
22. valid estimate of the parameter The ESS is an estimate of how many effectively independent draws from the marginal posterior distribution the MCMC is equivalent to If this number is small then the log file may not accurately represent the posterior distribution and more or longer MCMC runs need to be run see below for more details The basic statistics available for each trace are Mean The mean value of the sampled trace across the chain excluding values in the burn in 35 Stdev The standard error of the estimated mean taking into account the ESS so a small ESS will give a large stan dard error stdev of the mean Median The median value of the sampled trace across the chain excluding the burn in 95 HPD Lower The lower bound of the 95 highest posterior density HPD interval The 95 HPD is shortest interval that contains 95 of the sampled values 95 HPD Upper The upper bound of the highest posterior density HPD interval The 95 HPD is shortest interval that contains 95 of the sampled values Auto correlation time The number of states in the MCMC chain that two sam ples have to be separated by on average to be regarded as independent samples from the posterior distribution The smaller the ACT the better the MCMC chain is mixing The ACT is estimated from the samples in the trace excluding the burn in Effective Sample Size The ESS is the number of independent samples from the marginal posterior distribut
23. 2 6 Translation options This is relevant if your analysis concerns protein coding genes and you want to perform an analysis based on amino acid sequences If you are analysing non coding sequence data such as mitochondrial DNA control region then leave this option set to None This combo box specifies the amino acid translation code for the DNA sequence data The options refer to what organism e g Vertebrate Yeast or Bacterial and whether the sequence data is nuclear for vertebrates select Universal versus mitochondrial for vertebrates select Vertebrate Mitochondrial Selecting these options will translate the DNA sequence into the amino acid sequence using the specified translation code If your sequences are amino acid sequences then this option will be disabled 2 3 Taxa panel This window allows you to set up taxon subsets within the sequence data By setting up these subsets you define a set of taxa This will also allow you to log the time to most recent common ancestor tyyrca for each taxon subset and also set prior distributions on the corresponding divergence times The resulting tMRCAs in the log file will be specified in the same units as those specified for your DNA sequences i e radiocarbon years for aDNA data sets or for non dated data sets whatever time units the rate date priors are specified in These taxon subsets can represent different species in multi species analyses or perhap
24. A Rough Guide to BEAST 1 4 ALEXEI J DRUMMOND SIMON Y W Ho Nic RAWLENCE and ANDREW RAMBAUT Department of Computer Science The University of Auckland Private Bag 92019 Auckland New Zealand alexei cs auckland ac nz Institute of Evolutionary Biology University of Edinburgh Edinburgh United Kingdom a rambaut ed ac uk July 6 2007 Contents 1 Introduction BEAST is a cross platform program for Bayesian MCMC analysis of molecular sequences It is orientated towards rooted time measured phylogenies inferred using strict or relaxed molecular clock models It is intended both as a method of reconstructing phylogenies and as a framework for testing evolutionary hy potheses without conditioning on a single tree topology BEAST uses MCMC to average over tree space so that each tree is weighted proportional to its posterior probability We include a simple to use user interface program for setting up standard analyses and a suite of programs for analysing the results There are three main areas of research for which the BEAUti BEAST package is particularly applicable These areas are species phylogenies for molecular dat ing coalescent based population genetics and measurably evolving populations ancient DNA or time stamped viral sequence data sets 2 BEAUti BEAUti Bayesian Evolutionary Analysis Utility is a graphical software pack age that allows the creation of BEAST XML input files The exact instructions for running BEA
25. DNA J Mol Evol 1985 22 2 160 174 Goldman N Yang Z A codon based model of nucleotide substitution for protein coding DNA sequences Mol Biol Evol 1994 11 5 725 736 Yang Z Maximum likelihood phylogenetic estimation from DNA sequences with variable rates over sites approximate methods J Mol Evol 1994 39 3 306 314 Drummond AJ Pybus OG Rambaut A Forsberg R Rodrigo AG Mea surably evolving populations Trends Ecol Evol 2003 18 9 481 488 Griffiths RC Tavare S Sampling theory for neutral alleles in a varying environment Philos Trans R Soc Lond B Biol Sci 1994 344 1310 403 410 Kingman JFC The coalescent Stochastic Processes and Their Applications 1982 13 235 248 Drummond AJ Rambaut A Shapiro B Pybus OG Bayesian coalescent inference of past population dynamics from molecular sequences Mol Biol Evol 2005 22 5 1185 1192 Aldous DJ Stochastic models and descriptive statistics for phylogenetic trees from Yule to today Statistical Science 2001 16 1 23 34 Drummond AJ Ho SYW Phillips MJ Rambaut A Relaxed phylogenetics and dating with confidence PLoS Biology 2006 4 5 Thorner JL Kishino H Felsenstein J An evolutionary model for maximum likelihood alignment of DNA sequences J Mol Evol 1991 33 2 114 124 Lemey P Pybus OG Rambaut A Drummond AJ Robertson DL Roques P Worobey M Vandamme AM The molecular population genetics of HIV 1 group O Genetics 2004 167 3 1059 1068 41
26. Uti differ depending on which computer system you are oper ating Please see the README text file that was distributed with the version you downloaded Once running BEAUti will look similar irrespective of which computer system it is running on 2 1 Importing the NEXUS input file In the top left hand corner of the BEAUti window is the File menu From the File menu select Import NEXUS A window will appear allowing you to select your NEXUS input file 2 2 Data panel Once your NEXUS input file has been imported into BEAUti the Data win dow will appear with your sequence information displayed 2 2 1 Name column This column contains a unique name for each DNA sequence 2 2 2 Date column and time stamped data This section is only important for researchers interested in ancient DNA aDNA or time stamped data sets generally virus sequence data The Date refers to either the date or the age of the sequences The default date for all taxa is assumed to be zero This will be correct if all your sequences were sampled at approximately the same time point For aDNA Date will typically be in radiocarbon years though for the purposes of analysis Date in years will suffice For radiocarbon dates only enter the absolute date value not the associated error The dates entered need to be specified as Years and Before the present from the Dates specified as menu For viral data sets dat
27. are based on previous C software developed by AR BEAST is now an open source project and many software developers have made invaluable contri butions see Acknowledgements for some of them SYWH produced the initial version of the BEAST XML guide as an online resource AJD twisted the arm of NR to bring together the disparate sources of information on BEAST into a first draft of this manual All authors contributed to the writing of the text Acknowledgements We would like to thank in alphabetical order Roald Forsberg Joseph Heled Philippe Lemey Gerton Lunter Sidney Markowitz Oliver G Pybus Tulio de Oliveira Beth Shapiro Korbinian Strimmer and Mark A Suchard for invaluable contributions AR was supported by the Royal Society References 1 Huelsenbeck JP Ronquist F MRBAYES Bayesian inference of phyloge netic trees Bioinformatics 2001 17 754 755 2 Drummond AJ Nicholls GK Rodrigo AG Solomon W Estimating mu tation parameters population history and genealogy simultaneously from temporally spaced sequence data Genetics 2002 161 3 1307 1320 3 Wilson IJ Weale ME Balding DJ Inferences from DNA data population histories evolutionary processes and forensic match probabilities J Royal Stat Soc A Statistics in Society 2003 166 155 188 39 10 11 12 13 14 15 16 17 18 19 Beaumont MA Detecting population expansion and decline using mi crosatellites G
28. at are currently being used as defined by the model settings will be shown in the table For example if the rate of substitution is fixed in the Model section then the clock rate parameter or the ucld mean if the relaxed clock is selected will not be available With this in mind the following table lists some of the parameters that can be generated by BEAUti their interpretation and units clock rate The rate of the strict molecular clock This param eter only appears when you have selected the strict molecular clock in the model panel The units of this parameter are in substitutions per site per unit time If this parameter is fixed to 1 0 using the Fix mean substitution rate option in the Model panel then the branch lengths in the tree will be in units of substi tutions per site However if for example the tree is being calibrated by using fossil calibrations on internal nodes and those fossil dates are expressed in millions of years ago Mya then the clock rate parameter will be an estimate of the evolutionary rate in units of substitutions per site per million years Myr 10 constant popSize This is the coalescent parameter under the assumption of a constant population size This parameter only appears if you select a constant size coalescent tree prior This parameter represents the product of effec tive population size Ne and the generation length in units of time 7 If time is measured in generations this
29. atistic and thereby use it as a calibration point This can be achieved in the Priors panel in BEAUti 4 2 10 Monophyly statistic block element This element represents a Boolean statistic that indicates whether a predefined taxon subset is monophyletic in the tree This statistic can be logged in a BEAST analysis to investigate how frequently the clade is sampled during the MCMC analysis It must be done by manual editing the XML file In the BEAST run the monophyly statistic will return a value of 1 if the specified taxa are monophyletic on the tree and 0 otherwise The taxa are monophyletic 26 if there is a node in the tree that has as descendants all the specified taxa and no others lt monophylyStatistic id panMonophyly name panMonophyly gt lt mrca gt lt taxa idref Pan gt lt mrca gt lt treeModel idref treeModel1 gt lt monophylyStatistic gt If you want to constrain a subset of taxa to always be monophyletic in the tree then you need to create a booleanLikelihood element This element returns a likelihood of 1 true if all of the Boolean statistics it contains are true otherwise it returns a likelihood of 0 false It acts as a multiplier for the posterior If the proposed tree satifies all the monophyly constraints then the likelihood is multiplied by 1 otherwise it is multiplied by 0 and the pro posed tree is rejected The booleanLikelihood element should be added to the priors element in the mcmc e
30. bution of this parameter If meanInRealSpace true then the mean of the lognormal distribution should be set to some value close to the assumed rate of evolution that is within an order of magnitude For example for mitochondrial protein coding sequences calibrated in millions of years it might be set to 10 Since one time unit in this example represents one million years a rate of 107 is equivalent to 1 per million years The meanInRealSpace attribute does not apply to the uncorrelated expo nential relaxed clock in which the mean is always in real space As for the lognormal distribution however it is wise to make a good guess about the initial value for the mean in order to avoid a long burn in time The number of dimensions for the rateCategories parameter should be set to the value 2N 2 where N is the number of taxa in the data set So if 28 there are seven taxa the rateCategories parameter would have 2 x 7 2 12 dimensions 4 2 13 Substitution model element This element defines the substitution model for your data set A frequencies element defines the base pair frequencies with reference to the data type and the alignment This element is automatically generated based on choices made in the Model panel of BEAUti Choosing the HKY substitution will generate XML that looks like this lt hkyModel id hky gt lt frequencies gt lt frequencyModel dataType nucleotide gt lt alignment idref alignment
31. del assume independent rates on different branches with one or two parameters that define the distribution of rates across branches The relaxed molecular clock models in BEAST are called uncorrelated because there is no a priori correlation between a lineage s rate and that of its ancestor 31 The strict molecular clock is the basic model for rates among branches sup ported by BEAST Under this model the tree is calibrated by either 1 Specifying a substitution rate this can be done either by fixing the mean substitution rate to a designated value or by using a prior on the clock rate parameter in the Priors panel or 2 Calibrating the dates of one or more internal nodes by specifying a prior on the tmcra of a taxon subset or the treeModel rootHeight This allows the divergence dates of clades defined either as a monophyletic grouping or as the tmrca of a specified taxon subset to be calculated based on the best fit of a single mutation rate across the whole tree When using the relaxed molecular clock models the rate for each branch is drawn from an underlying exponential or lognormal distribution We rec ommend the use of the uncorrelated relaxed lognormal clock as this gives an indication of how clock like your data is measured by the ucld stdev param eter If the ucld stdev parameter estimate is close to 0 0 then the data is quite clock like If the ucld stdev has an estimated value much greater than 1 0 then y
32. e and substitution trees file name determine where the data that BEAST creates will be saved The log file will contain the posterior sample of the parameter values specified in the BEAST XML file The tree file will contain a posterior sample of trees with branch lengths in chronological units that can be viewed in TreeView or FigTree The subst tree file will be a tree file with the branch lengths in units of substitutions These will be saved in the same folder that the BEAST XML file is saved under on UNIX Linux systems these files will be saved in the current working directory 2 7 4 Generating the BEAST input file Finally once you are satisfied that you have specified everything you want in the BEAST XML file click on the Generate BEAST File button in the bottom right hand corner of the BEAUti window This will generate an XML file that can be saved in a specific folder This is the file that will be used by BEAST to execute the MCMC analysis You can save a separate BEAUti file by selecting the Save option from the File menu It will also be an XML file but will not be recognized by BEAST and is only used so that you can re load it in BEAUti and quickly make modifications to your analysis at a later date It is recommended that you save the BEAUti files with the extension beauti to distinguish them from the BEAST input files 16 3 BEAST 3 1 Input format One of the primary motivations for providing a
33. e high ESSs can have their operators down weighted whereas parameters with low ESSs may need their operators weights to be increased There are a number of ways to increase the ESSs of your parameters e Increase the chain length This is the most straightforward way of increas ing the ESS 36 e Combine results from multiple independent runs We recommend that you do multiple runs of your analysis and compare results to check that the chains are converging and mixing adequately thus they should be sampling the same distribution and results could be combined once a suitable burn in is removed from each run The continuous parameters can be analysed and combined using Tracer Tree files have to be combined manually using a text editor Optimize the performance of the operators by using the auto optimize option in the Operator panel in BEAUti Increase the sample frequency if you have less than 1000 samples in to tal This may help because the ESS is measuring the correlation between sampled states in the chain If the sample frequency is very low each sample will be independent and ESS will be approximately equal to the number of states in the log file Therefore increasing the sample frequency will increase the ESS Sampling too frequently will not increase the ESS but will increase the size of the log file and the time it takes to analyse it A balance of these two considerations suggests that sampling so that the total number of sampl
34. effect calibrate the phylogeny with an external rate and will mean abandoning any errors associated with this rate If you want to calibrate your phylogeny with a rate estimate that includes uncertainty then you should unselect this option and provide a prior distribution for the rate in the Priors panel see section Setting this to 1 0 will result in the ages of internal nodes being estimated in units of substitution site which is often appropriate when the objective of the analysis is phylogenetic reconstruction and the time frame of the phylogeny is not of interest 2 4 7 Molecular clock rate variation model This allows you to select the appropriate model for rate variation among branches in the tree The model you select will be used to estimate the substitution rate for each node of the tree the tm prca of taxon groups and the treeModel rootHeight parameter which represents the tmrca for the root of the phylogeny There are currently three options in BEAUti Strict Clock Relaxed Clock Uncor related Exponential and Relaxed Clock Uncorrelated Lognormal A strict clock assumes a global clock rate with no variation among lineages in a tree However biology is generally not that simple Often the data will best fit a re laxed molecular clock model Relaxed molecular clock models There are other models one under development that will be included in later versions of BEAUti will be the Random Local Molecular Clock mo
35. enetics 1999 153 4 2013 2029 Rannala B Yang ZH Bayes estimation of species divergence times and an cestral population sizes using DNA sequences from multiple loci Genetics 2003 164 4 1645 1656 Pybus OG Drummond AJ Nakano T Robertson BH Rambaut A The epidemiology and iatrogenic transmission of hepatitis C virus in Egypt a Bayesian coalescent approach Mol Biol Evol 2003 20 3 381 387 Kuhner MK LAMARC 2 0 Maximum likelihood and Bayesian estimation of population parameters Bioinformatics 2006 22 6 768 770 Redelings BD Suchard MA Joint Bayesian Estimation of Alignment and Phylogeny Syst Biol 2005 54 3 401 418 Lunter G Miklos I Drummond A Jensen JL Hein J Bayesian coesti mation of phylogeny and sequence alignment BMC Bioinformatics 2005 6 1 83 Hastings WK Monte Carlo sampling methods using Markov chains and their applications Biometrika 1970 57 97 109 Metropolis N Rosenbluth A Rosenbluth M Teller A Teller E Equations of state calculations by fast computing machines J Chem Phys 1953 21 1087 1091 Zuckerkand1 E Pauling L Evolutionary divergence and convergence in pro teins In Evolving genes and proteins Edited by Bryson V Vogel HJ Academic Press New York 1965 97 166 Aris Brosou S Yang Z Bayesian models of episodic evolution support a late Precambrian explosive diversification of the Metazoa Mol Biol Evol 2003 20 12 1947 1954 Kishino H Thorne JL Bruno WJ Performance o
36. es will most commonly be calendar years e g 1984 1989 2007 etc or perhaps months or even days since the start of the study and need to be specified as Years Months or Days and Since some time in the past Although BEAUTiI allows you to specify the units for these dates this is simply to make a record of the units for reference Whatever units of time you use to specify the dates will then be used throughout the analysis For example if you give your dates in millions of years e g 0 1 representing 100 000 years then all the reported dates and rates will be given as My e g a reported rate of 0 01 will have units of substitutions per My and thus be 1 0E 8 substitutions per year The Clear Dates button resets all dates in the Date column to zero Sometimes it is more convenient to use the Guess Dates option rather than enter the date values manually into the Dates column This option guesses the sequence dates from the numerical information contained within the taxon name If the taxon name contains more than one numerical field then you can specify BEAUti to find the field that corresponds to the sampling date by specifying the order that the date field comes first last etc or specifying a prefix a character that comes immediately before the date field in each name You can also add a fixed value to each guessed date 2 2 3 Ancient DNA and radiocarbon dates Most aDNA data sets will be
37. es is between 1 000 and 10 000 is recommended 6 LogCombiner LogCombiner allows you to combine log and tree files from multiple independent runs of BEAST When this program is opened the LogCombiner user interface and a JAVA LogCombiner window will appear 6 1 File Type This combo menu allows you to select either the log or tree file type that you will be importing into LogCombiner 6 2 Resample states at lower frequency This option allows you to resample your posterior distribution at a lower fre quency than in previous BEAST runs 6 3 Select input files Here you can select using the button the input files that you wish to combine These will appear in the sub window with the file name and the Burnin peroid by default 10 6 4 Output file This option allows you to select a log file or create a new log file that the combined log data will be saved to When you click Run the log files you have selected will be combined in the JAVA LogCombiner window The files you have selected must be from independent runs of BEAST from the same XML file otherwise an error will 37 occur stating that the number of columns in the first file does not match that of the second file Once LogCombiner has finished you can analyse the combined log file in Tracer Important It does not make sense to combine log files from MCMC analyses of different models or different data sets 7 TreeAnnotator This program assists in summa
38. escentLikelihood idref coalescent_Pama gt lt coalescentLikelihood idref coalescent_Eugr gt lt prior gt 33 Here is a simple example of the entire MCMC element lt mcmc id mcmc chainLength 1000000 autoO0ptimize true gt lt posterior id posterior gt lt prior id prior gt lt distributionLikelihood idref distributionLikelihood gt lt speciationLikelihood idref speciation gt lt prior gt lt likelihood id likelihood gt lt treeLikelihood idref treeLikelihood gt lt likelihood gt lt posterior gt lt operators idref operators gt lt log id screenLog logEvery 500 gt lt column label Likelihood dp 4 width 12 gt lt posterior idref posterior gt lt column gt lt column label Root Height sf 4 width 12 gt lt parameter idref treeModel rootHeight gt lt column gt lt log gt lt log id fileLog logEvery 100 fileName example log gt lt posterior idref posterior gt lt parameter idref siteModel alpha gt lt parameter idref siteModel pInv gt lt parameter idref gtri ac gt lt parameter idref gtri ag gt lt parameter idref gtri at gt lt parameter idref gtri cg gt lt parameter idref gtri gt gt lt parameter idref yule birthRate gt lt rateStatistic idref meanRate gt lt rateStatistic idref rateVariance gt lt rateStatistic idref rateCoeff gt lt rateCovarianceStatistic idref covariance gt lt parameter
39. f a divergence time es timation method under a probabilistic model of rate evolution Molecular Biology amp Evolution 2001 18 352 361 Sanderson MJ Estimating absolute rates of molecular evolution and diver gence times A penalized likelihood approach Mol Biol Evol 2002 19 101 109 Thorne JL Kishino H Divergence time and evolutionary rate estimation with multilocus data Syst Biol 2002 51 5 689 702 Thorne JL Kishino H Painter IS Estimating the rate of evolution of the rate of molecular evolution Mol Biol Evol 1998 15 1647 1657 Yoder AD Yang ZH Estimation of primate speciation dates using local molecular clocks Mol Biol Evol 2000 17 1081 1090 Suchard MA Redelings BD BAIi Phy simultaneous Bayesian inference of alignment and phylogeny Bioinformatics 2006 22 16 2047 2048 40 20 21 22 23 24 25 26 27 28 29 30 31 32 33 Rambaut A Drummond AJ Tracer computer program Available from http evolve zoo ox ac uk software 2003 Shapiro B Drummond AJ Rambaut A Wilson MC Matheus PE Sher AV Pybus OG Gilbert MT Barnes I Binladen J et al Rise and fall of the Beringian steppe bison Science 2004 306 5701 1561 1565 Rodriguez F Oliver JL Marin A Medina JR The general stochastic model of nucleotide substitution J Theor Biol 1990 142 4 485 501 Hasegawa M Kishino H Yano T Dating of the human ape splitting by a molecular clock of mitochondrial
40. f population size through time constant size exponential growth logistic growth and expansion growth Which one you choose depends on the population you are analysing and the demo graphic assumptions you wish to make In addition the Bayesian skyline plot BSP 29 is available which calcu lates the effective breeding population size Ne through time up to a constant related to the generation length in the time units of the analysis However the BSP should only be used if the data are strongly informative about pop ulation history or when the demographic history is not the primary object of interest and a flexible coalescent tree prior with minimal assumptions is desir able This coalescent based tree prior only requires you to specify how many discrete changes in the population history are allowed It will then estimate a demographic function that has the specified number of steps integrated over all possible times of the change points and population sizes within each step to calculate a function of Ne through time 29 Two variants of the BSP are provided the Stepwise model in which the population is constant between change points and then jumps instantaneously and the Linear model in which the population grows or declines linearly between change points All the demographic models listed above are parametric priors on the ages of nodes in the tree in which the hyperparameters e g population size and growth rate in the
41. ghts that the target tree has or rescale it to reflect the posterior mean median node heights for the clades contained in the target tree 7 5 Target tree file This option allows you to select and input the target tree This option will only be available if you have selected User target tree from the Target tree type combo menu 38 7 6 Input tree file This option allows you to select the input tree file the tree file produced by a BEAST analysis 7 7 Output file This option allows you to select or create a file that the summarized tree data will be saved to Once you click run TreeAnnotator will start to summarize the tree data produced by BEAST In the JAVA window TreeAnnotator will state the number of trees that have been read will find the best fit tree specified under the Target tree type The progress of this will be monitored by the symbols moving across the screen TreeAnnotator will also give you a clade support statistic before writing the annotated tree to file This file can then be analysed in FigTree Authors Contributions AJD and AR designed and implemented all versions of BEAST up to the current version 1 4 2 which was developed between June 2002 and April 2007 Por tions of the BEAST source code are based on an original Markov chain Monte Carlo program developed by AJD called MEPI during his PhD at Auckland University between the years 2000 and 2002 Portions of the BEAST source code
42. gt lt frequencies gt lt parameter id hky frequencies dimension 4 gt lt frequencies gt lt frequencyModel gt lt frequencies gt lt kappa gt lt parameter id hky kappa value 1 0 lower 0 0 upper 100 0 gt lt kappa gt lt hkyModel gt Selecting the GTR substitution model will generate XML that looks like this lt gtrModel id gtr gt lt frequencies gt lt frequencyModel dataType nucleotide gt lt alignment idref alignment gt lt frequencies gt lt parameter id gtr frequencies dimension 4 gt lt frequencies gt lt frequencyModel gt lt frequencies gt lt rateAC gt lt parameter id gtr ac value 1 lower 0 upper 500 gt lt rateAC gt lt rateAG gt lt parameter id gtr ag value 1 lower 0 upper 500 gt lt rateAG gt lt rateAT gt lt parameter id gtr at value 1 lower 0 upper 500 gt lt rateAT gt lt rateCG gt lt parameter id gtr cg value 1 lower 0 upper 500 gt lt rateCG gt lt rateCT gt lt parameter id gtr ct value 1 lower 0 upper 500 gt 29 lt rateCT gt lt gtrModel gt 4 2 14 Site model element This element defines the among site rate heterogeneity model for your data i e whether you have no rate heterogeneity among sites gamma distributed rate heterogeneity a proportion of invariant sites or both gamma distributed rate heterogeneity and invariant sites This element combines the basic substitution
43. he molecular clock model Depend ing on whether your data is nucleotide or amino acid sequence or nucleotides translated into amino acids the options will differ The substitution models used in BEAST will be familiar to users of other Bayesian and likelihood based phylogenetics software 2 4 1 Substitution model Substitution models describe the process of one nucleotide or amino acid being substituted for another There are two DNA substitution models available in BEAUti the Hasegawa Kishino Yano HKY model and the General Time Re versible GTR model Other substitution models can be achieved by editing the BEAST XML file generated by BEAUti For nucleotide data all the models that are nested within the GTR model including the well known HKY85 model can be specified by manually editing the XML When analysing protein coding data the Goldman and Yang model can be used to model codon evolution 24 For the analysis of amino acid data the following replacement models can be used Blosum62 CPREV Dayhoff JTT MTREV and WAG ref 2 4 2 Site heterogeneity model This allows the refinement of the HKY or GTR model to allow different sites in the alignment to evolve at different rates The None Gamma Invariant Sites and Gamma Invariant Sites options in this menu help explain among site rate heterogeneity within your data Selecting None specifies a model in which all sites are assumed to evolve at the same
44. iciently An example of such a parameter is hky kappa which though efficiently estimated requires a complete recalculation of the likelihood of the data whenever it is changed Giving these parameters lower weights can improve the computational efficiency of the run The efficiency of the MCMC chain can often be improved by altering the weight of the operators that work on the treeModel For example if you are analysing x sequences a very rough rule of thumb is that you should set the weight of the each of upDown0perator uniform0perator on internalNodeHeights narrowExchangeOperator subtreeSlideOperator to 7 2 You should also set the weight of the wilsonBaldingOperator and the wideExchangeQperator to min 1 2 10 These are rough guidelines and other weights may work better but we have found these guidelines to work reasonably well The authors of BEAST plan to perform a more systematic study of the performance of dif ferent combinations of proposals and weights so we can provide more guidance in this area in the future Any assistance in this endeavor would be greatly appreciated 2 6 3 Auto optimize The auto optimize option will automatically adjust the tuning parameters of operators as the MCMC algorithm runs to try to achieve maximum effi ciency We recommend that you choose this option The criterion that our auto optimization method uses is a target acceptance probability for each op erator The target acceptance probability
45. idref treeModel rootHeight gt lt tmrcaStatistic idref hominins mrca gt lt tmrcaStatistic idref primates mrca gt lt tmrcaStatistic idref rodents mrca gt lt log gt lt logTree id treeFileLog logEvery 1000 nexusFormat true fileName example trees gt lt treeModel idref treeModel gt lt logTree gt lt mcmc gt 4 2 19 Other elements For help on other aspects of the BEAST XML including e Setting up two epoch models e Running BEAST without data in order sample from the joint prior distri bution e Using nucleotide substitution models other than HKY or GTR and 34 e Information on the general data type see the BEAST homepage or http beast bio ed ac uk BEAST_XML_Reference for more details 5 TRACER Tracer is a simple piece of software that can be used for visualization and di agnostic analysis of the MCMC output of BEAST It reads BEAST and Mr Bayes log files As with BEAUti and BEAST the exact instructions for running TRACER differ depending on the type of computer Tracer is being used on Once it is running however TRACER will look similar irrespective of which operating system it is running on 5 1 Importing log files into Tracer Once Tracer has been opened you will see in the top left hand corner the Trace Files panel Below that will be a and button To load your log output files press on the button A file dialog will appear allowing to choose a log file t
46. ion that the trace is equiv alent to It is calculated by dividing the chain length excluding the burn in by the ACT You can select a trace and look at the raw trace in the Trace panel This is the most important step in Tracer analysis If the Trace for each parameter has not converged on a stationary distribution i e it looks like a straight hairy caterpillar with no obvious upward or downward trends or sudden jumps then the MCMC run needs to be run for longer Once the MCMC chain has been run for long enough the frequency histogram will generally be a smooth unimodal distribution although this doesnt have to be the case Selecting a trace and displaying it in a density plot will show the posterior probability density of a parameter Running the MCMC chain longer can reduce the stochastic noise in all the plots You can also select multiple parameters especially if you have partitioned data and look at them on the same trace 5 3 Increasing Effective Sample Size For publication purposes we recommend that all ESS values be greater than 200 If the ESS is small then the estimate of the posterior distribution of that parameter will be poor and the standard error of the mean of parameter will be large Low ESS values are indicative of poor mixing and should cast doubt on the validity of all parameter estimates in the log file Trying for ESSs values greater than 1000 is probably a waste of computational resources Parameters that hav
47. is 0 25 for most operators The idea is that proposals for new parameter values should be bold enough that they explore the parameter space rapidly without being so large that the proposals are never accepted By tuning an operator so that it is accepted 25 of the time we find that the moves are big enough to explore the space while still allowing regular changes to the MCMC state At the end of the MCMC run a report on the performance of the operators will be given in the BEAST console This report includes the proportion of times that each operator was accepted the final values of these tuning settings and whether they were at the right level for the analysis and suggestions for changes to these values These operator tuning parameters can be changed in order to minimize the amount of time taken to reach optimum performance in subsequent runs Note changing the tuning parameters of the operators will not change the results of the analysis it will only affect the efficiency of the sampling of the posterior distribution Better tuning parameters and weights will lead to faster convergence and better mixing of the MCMC chain which means that the MCMC run can be run for fewer generations to achieve the same Effective Sample Size ESS 2 7 MCMC options The MCMC panel allows you to set the number of generations the MCMC algorithm will run for how often the data is logged to file and to name the output files that BEAST will store the data in
48. istribution so that the whole distribution can have a 13 lower limit other than 0 0 For example a fossil that calibrates the node that cannot be younger than 100 Mya but can be older By changing the values of the LogNormal Mean LogNormal Stdev which represent values in log space and Zero offset you can cre ate a distribution that matches your prior in real space non log space the values at the bottom of the window This prior can also be used on clock rate and constant popSize parameters This is ideal if you have a small population that is highly genet ically structured with deep divergences within the population as this can artificially increase the Ne significantly In addition Ne is always an underestimate of the true population size so a lower bound is difficult to determine At present this prior in BEAUti is somewhat inconvenient to use as the offset is in units whereas mean and standard deviation are in log units This will be improved for the next version Tree prior If no calibration information is specified through a parametric prior a parameter such as treeModel rootHeight or tmrca tazon group will still have a prior distribution via the selected tree prior This option signifies that fact In addition there are a number of other priors that can be specified including Exponential Gamma and Jeffreys 2 6 Operators panel Operators act on the given parameters in the BEAST analysis determining how the MCMC chain
49. lement You will also have to supply a pre specified starting tree that obeys the monophyly constraint for the MCMC analysis to start successfully lt booleanLikelihood id booleani gt lt monophylyStatistic idref panMonophyly gt lt booleanLikelihood gt 4 2 11 Coalescent likelihood block element This element is used to link a demographic tree prior to a treeModel This coa lescent likelihood of the specified tree given the parameters of the demographic model and the divergence times specified by the treeModel parameters in the populationTree element BEAUti automatically generates this element when a coalescent based tree prior is chosen lt coalescentLikelihood id coalescent gt lt model gt lt constantSize idref constant gt lt model gt lt populationTree gt lt treeModel idref treeModel gt lt populationTree gt lt coalescentLikelihood gt 4 2 12 Molecular clock model block element This element defines the molecular clock model that will be used to calculate the likelihood of the tree For a strict molecular clock there is a single parameter the rate of the molecular clock and the XML element looks like this lt strictClockBranchRates id branchRates gt lt rate gt lt parameter id clock rate value 1 0E 5 gt lt rate gt lt strictClockBranchRates gt 27 BEAST also allows two models of relaxed molecular clock uncorrelated exponential or uncorrelated lognormal The following XML
50. n in a separate partition faster substitution rate due to the increased redundancy in the genetic code of the 3rd codon position Partitioning into 1 2 3 allows each codon position to have its own substitution rate This assumes that the data is aligned on codon boundaries so that every third site in the alignment is the third position in a codon for all sequences in the alignment Unlinking substitution model across codon positions will instruct BEAST to estimate a separate transition transversion ratio kappa parameter for HKY or separate relative rate parameters for GTR for each codon position Unlinking rate heterogeneity model will instruct BEAST to estimate the among site rate heterogeneity parameters independently for each codon position 2 4 5 Use SRDO6 Model When this button is pressed BEAUti selects a particular combination of the above settings which represent the model suggested by Shapiro et al This model links 1st and 2nd codon positions but allows the 3rd positions to have a different relative rate of substitution transition transversion ratio and gamma distributed rate heterogeneity This model has fewer parameters than GTR gamma invariant sites but has been found to provide a better fit for protein coding nucleotide data 2 4 6 Fix mean substitution rate This option is relevant when you have no fossil calibration data and want to calibrate the data set using a known substitution mutation rate This will in
51. o load Multiple log files can be loaded into Tracer this way and will be displayed in the Trace Files panel By selecting multiple log files you can click the combine button to combine these log files for further analysis Combining log files is only appropriate if they represent independent replicates of the same BEAST analysis The Trace Files panel will also display the number of generations that the MCMC algorithm ran for and the burn in period set by default to 10 of the MCMC chain length when a log file is loaded into Tracer You can double click on the burn in value to change them if visual inspection of the trace suggests that 10 is not appropriate 5 2 Analysis using Tracer On the left hand side of the Tracer window is the name of the log file loaded and the parameters statistics that it contains There will usually be a trace of the posterior this is the sum of the log likelihood of the tree the log prior probability of the tree and the log prior probability density of any other priors There will also be traces of the continuous parameters such as hky kappa and treeModel rootHeight Selecting a trace on the left brings up a statistical summary for the trace on the right hand side depending on the tab selected see below For each trace the mean value and the Effective Sample Size ESS will also be displayed If the ESS is red it is flagged red if less than 100 then the MCMC chain has not been run long enough to get a
52. on e g gene codon position etc can have independent parameter estimates the relevant elements have to be dupli cated For example by duplicating the starting tree and treeModel elements you can define a model in which each partition has an independent tree You will also have to duplicate the treeLikelihood element for each partition If you want to assume a different demographic model for each partition you will also have to duplicate the demographic model and coalescent likelihood ele ments For each duplicated element you will need to create a unique id Each partition can have as many or few independent parameters as you like If the partitions share a common parameter you must define the parameter in the first element that uses it and then use the idref attribute to refer to the parameter in subsequent elements 4 2 17 Operators element The operators element includes all the different types of proposals moves that will be made during the MCMC analysis Failing to specify any operators for a specific parameter will mean that the parameter will be fixed to its initial value because no new values will be proposed This is one way to fix parameters that you dont want to estimate e g remove all the operators that act on the tree if you want to fix the tree topology to the starting tree Below is an example of the contents of the operators element Scale operators swap operators 31 up down operators and uniform operators all act
53. onstant popSize it is a composite parameter un less the time scale of the genealogy is in generations This parameter only appears if you have selected a exponential growth coalescent tree prior gtr ac ag at cg gt These five parameters are the relative rates of substi tutions for AGC AGG AGT CoG and GeT in the general time reversible model of nucleotide substi tution 22 In the default set up these parameters are relative to rc r 1 0 These parameters only appear if you have selected the GTR substitution model hky kappa This parameter is the transition transversion ratio parameter of the HKY85 model of nucleotide substi tution 23 This parameter only appears if you have selected the HKY substitution model 11 meanRate siteModel alpha siteModel pInv treeModel rootHeight ucld mean ucld stdev This statistic is logged when a relaxed molecular clock is use and it is the estimated number of substitutions per site across the whole tree divided by the estimated length of the whole tree in time It has the same units as clock rate parameter If r is the rate on the ith branch and t is the length of time in calendar units for the ith branch then b riti is the branch length in substitutions per site and the meanRate is calculated This parameter is the shape a parameter of the T dis tribution of rate heterogeneity among sites 25 This parameter only appears when you have selected Gamma or Gamma
54. our data exhibits very substantial rate heterogeneity among lineages This pattern will also be true for the coefficient of variation parameter Note To test MCMC chain performance in the first run of BEAST on a new data set it is often a good idea to start with a relatively simple model In the context of divergence dating this might mean running a strict molecular clock with informative priors on either clock rate one or more tMRCAS Or treeModel rootHeight If BEAST can t produce an adequate sample of the posterior under a simple model then it is unlikely to perform well on more complicated substitution and molecular clock models 2 5 Priors panel The Priors panel allows the user to specify informative priors for all the param eters in the model This is both an advantage and a burden It is an advantage because relevant knowledge such as fossil calibration points within a phylogeny can be incorporated into the analysis It is a burden because when no obvious prior distribution for a parameter exists it is your responsibility to ensure that the prior selected is not inadvertently influencing the posterior distribution of the parameter of interest 2 5 1 Tree priors When sequences have been collected from a panmictic intraspecific population there are various coalescent tree priors that can be used to model population size changes through time Under the coalescent assumption BEAST allows a number of parametric demographic functions o
55. parameter a direct estimate of Ne Otherwise it is a composite parameter and an estimate of Ne can be computed from this parameter by dividing it by the generation length in the units of time that your calibrations or clock rate are defined in Finally if clock rate is set to 1 0 then constant popSize is an estimate of Neu for haploid data such as mitochon drial sequences and 2Nepu for diploid data where u is the substitution rate per site per generation covariance If this value is significantly positive then it means that within your phylogeny branches with fast rates are followed by branches with fast rates This statis tic measures the covariance between parent and child branch rates in your tree in a relaxed molecular clock analysis If this value spans zero then branches with fast rates and slow rates are next to each other It also means that there is no strong evidence of autocorrela tion of rates in the phylogeny exponential growthRate This is the coalescent parameter representing the rate of growth of the population assuming exponential growth The population size at time t is determined by N t Ne exp gt where t is in the same units as the branch lengths and g is the exponential growthRate param eter This parameter only appears if you have selected a exponential growth coalescent tree prior exponential popSize This is the parameter representing the modern day population size assuming exponential growth Like c
56. presented using double precision floating points numbers This can happen with data sets containing a large numbers of sequences typically gt 100 It can also happen if the starting tree does not conform to some of the tyrca priors involving upper or lower bounds There are a few ways to try to fix this problem First in the XML file you can manually edit the starting values for your parameters to try to achieve a better likelihood for the starting tree First and foremost the initial values of all parameters have to be within the upper and lower bounds If you do not explicitly specify an initial value for a parameter using the value attribute BEAST will assume the starting value is zero This can cause a problem for example in the case of the clock rate parameter an initial value of zero will result in a likelihood of zero for alignments with variable sites If this error is occurring because the random initial tree has a likelihood value that is too close to zero then another alternative is to start with a UPGMA tree This can be specified in BEAUti or by manually editing the XML file 18 A common cause of this error is if you have specified multiple calibration bounds in the analysis or a set of monophyly constraints Often the random and even UPGMA starting trees will not conform to these calibration bounds or monophyly constraints and this will cause the tree likelihood to be zero In this situation you must specify a valid starting
57. rate For most data sets this will not be the case however for some alignments there is very little variation and the equal rates across sites model can t be rejected Selecting Gamma will permit substitution rate variation among sites within your data i e the substitution rate is allowed to vary so that some sites evolve slowly and some quickly The shape parameter alpha of the Gamma distri bution specifies the range of the rate variation among sites Small alpha values lt 1 result in L shaped distributions indicating that your data has extreme rate variation such that most sites are invariable but a few sites have high sub stitution rates High alpha values result in a bell shaped curve indicating that there is little rate variation from site to site in your sequence alignment When alpha reaches infinity all sites have the same substitution rate i e equivalent to None If the analysis concerns protein coding DNA sequences the estimated gamma distribution will generally be L shaped If the codons are however par titioned into 1st 2nd and 3rd positions 1st and 2nd will generally have a lower alpha value than the 3rd Selecting Invariant Sites specifies a model in which some sites in your data never undergo any evolutionary change while the rest evolve at the same rate The parameter introduced by this option is the proportion of invariant sites within your data The starting value of this parameter must
58. ribution of population size through time when a coalescent model is used e g Bayesian Skyline Plot The phylogenetic tree of each sample state is written to a separate file in either NEWICK or NEXUS format tree file or subst tree file This can be used to investigate the posterior probability of various phylogenetic ques tions such as the monophyly of a particular group of organisms or to obtain a consensus phylogeny 3 6 Opening the BEAST log file in TRACER It is possible to open the log file in TRACER while BEAST is still running in order to examine how the run is proceeding However the TRACER statistics will not be updated within TRACER as the run proceeds To update the results in TRACER you must re load the log file 4 Editing BEAST XML input files 4 1 XML XML eXtensible Mark up Language is not a file format but is a simple markup language that can be used to define a file format for a particular purpose XML is designed to be easily read by software while still being relatively easy to be read and edited by humans BEAST understands a particular file format that has been defined using the XML markup language Generally in XML space tab and new lines or carriage returns are all treated as whitespace Whitespace characters are used to separate words in the file but it does not matter how many or in what combination they are used Thus parts of the file can be split onto two lines or indented in an arbitrary manner 4
59. rizing the information from a sample of trees produced by BEAST onto a single target tree The summary information includes the posterior probabilities of the nodes in the target tree the posterior estimates and HPD limits of the node heights and in the case of a relaxed molecular clock model the rates 7 1 Burnin This option allows you to select the amount of burn in i e the number of samples that will be discarded at the start of the run so that you are only analysing the part of the trace that is in equilibrium 7 2 Posterior probability limit This is the same as specifying a a limit for bootstrapping in PAUP Posterior summaries will only be calculated for the nodes in the target tree that have a posterior probability greater than the specified limit 7 3 Target tree type If you select the Maximum clade credibility option then the node height and rate statistics will be summarized on the tree in the posterior sample that has the maximum sum of posterior probabilities on its n 2 internal nodes This tree is not necessarily the majority rule consensus tree If you select the User target tree then the tree statistics will be summarized on a user specified tree This could for example be a majority rule consensus tree constructed from the posterior tree sample using PAUP 7 4 Node heights This option allows you select how the node heights are summarised on the target tree You can choose to keep the hei
60. s done systematically for various elements such as the priors then it is often possible to work out which element is causing the error and thereby fix it 4 2 2 Taxa element block The taxa element defines the individuals that the DNA or amino acid sequences were isolated from This block links the sequences with the tips of a tree or se quences in different alignments together The taxa element lt taxa id taxa gt is a unique identifier to reference the taxa that your sequences come from The taxa block is where you list the names of your sequences e g lt taxon 21 id Medi gt dates associated with the sequences direction the dates are mea sured in and the units that the dates are in e g lt date value 3000 0 direction backwards units years gt In the case of aDNA data sets the direction is generally backwards because radiocarbon dates are generally specified as ages whereas for viral data sets which tend to have dates specified in calendar years e g 1989 1999 2006 etc the direction is forwards For data sets in which all of the sequences are from the same time point the date element is not necessary This element is generated in BEAUti from information in the Data panel lt taxa id taxa gt lt taxon id Medi_3000_50 gt lt date value 3000 0 direction backwards units years gt lt taxon gt lt taxon id Medi_1000_50 gt lt date value 1000 0 direction backwards units years gt
61. s element within the prior element The first part of this element is concerned with calculating the prior and posterior probabilities The next section is concerned with what parameter values are logged to screen The final section is concerned with what parameters are logged to file To specify a prior on a parameter you list the type of prior that you want with the specific associated values see logNormalPrior below and within the element you must refer to the parameter that you want the prior to act on This is also where you would add the booleanLikelihood prior for constrain ing a taxon subset to be monophyletic Below is an example of the prior element of the MCMC block This example defines prior distributions for the clock rate treeModel rootHeight and siteModel alpha parameters as well as coalescent based tree priors for three different loci lt mcmc id mcmc chainLength 10000000 preBurnin 30000 autoOptimize true gt lt posterior id posterior gt lt prior id prior gt lt logNormalPrior mean 15 08 stdev 0 625 offset 0 0 gt lt parameter idref clock rate_Medi gt lt logNormalPrior gt lt uniformPrior lower 0 0 upper 1 5E6 offset 0 0 gt lt parameter idref treeModel rootHeight_Pama gt lt uniformPrior gt lt gammaPrior shape 1 0 scale 1 0 offset 0 0 gt lt parameter idref siteModel alpha_Medi gt lt gammaPrior gt lt coalescentLikelihood idref coalescent_Medi gt lt coal
62. s geographically isolated populations within a species It is important to note that setting up a taxon subset does not guarantee that this group will be monophyletic with respect to other taxa in the resulting MCMC analysis Therefore the corresponding MRCA may in fact contain other descendants than just those specified in the taxon set You can set up taxon subsets as follows In the bottom left hand corner of the screen are a and button Selecting the button will import your named sequences into the Excluded Taxa column By selecting specific sequences then clicking the right hand facing arrow these sequences will be imported into the Included Taxa column and vice versa The untitled taxon label in the Taxon Sets column must be labelled with a specific name to designate the new taxon subset Taxon sets can be added by clicking the button and removed by clicking the button Taxa in the Included Taxa group will be used to date the tmrca while taxa in the Excluded Taxa column may or may not be in the same clade 2 4 Model panel This window allows you to specify DNA or amino acid substitution models partition protein coding sequence into codon positions unlink the substitution model and rate heterogeneity across codon positions all parameters can be ei ther shared or made independent among partitions in the sequence data fix the substitution rate and finally select t
63. section on editing XML We recommend that you use an XML aware editor that will highlight all XML errors like a spell checker This will ensure that your XML file is well formed 3 3 2 BEAST errors These errors should not occur unless you have edited the XML in which case look at the trouble shooting XML section BEAST errors can occur even if the XML is well formed because the XML file may still not describe a valid BEAST analysis These errors commonly include Spelling mistakes in the parameters names defined in lt parameter id parameterName gt and lt parameter idref parameterName gt which trick BEAST into thinking that there is a new parameter that has not been previously declared The first time you list a parameter it must be have an id attribute All subsequent times you reference the same parameter use the attribute idref with the same parameter name Another possible message is Parsing error poorly formed BEAST file This message means that the input file was recognized as an XML file but contained some XML elements that BEAST could not understand Generally all the details are listed below this error including the line character number and what BEAST expected to see Another common error message is Tree likelihood is zero This error message means that after considering all the constraints built into the BEAST XML file the likelihood of the starting tree is 0 or smaller than the smallest positive number that can be re
64. ter idref yule birthRate gt lt scaleOperator gt lt scaleOperator scaleFactor 0 9 adapt false weight 1 gt lt parameter idref 1ndMean gt lt scaleOperator gt lt swapOperator autoOptimize false weight 5 size 1 gt lt parameter idref rateCategories gt lt swapOperator gt lt upDownOperator weight 4 scaleFactor 0 9 gt lt up gt lt parameter idref 1ndMean gt lt up gt lt down gt lt parameter idref treeModel allInternalNodeHeights gt lt down gt lt upDown0perator gt lt scaleOperator scaleFactor 0 5 weight 1 gt lt parameter idref 1ndStDev gt 32 lt scaleOperator gt lt scaleOperator scaleFactor 0 5 weight 1 gt lt parameter idref treeModel rootHeight gt lt scaleOperator gt lt uniformOperator weight 4 gt lt parameter idref treeModel internalNodeHeights gt lt uniform0perator gt lt subtreeSlide weight 5 gaussian true size 1 0 gt lt treeModel idref treeModel gt lt subtreeSlide gt lt narrowExchange weight 1 gt lt treeModel idref treeModel gt lt narrowExchange gt lt wideExchange weight 1 gt lt treeModel idref treeModel gt lt wideExchange gt lt operators gt 4 2 18 MCMC element This element specifies how the MCMC run will run and the output that will be produced from the run You can specify what parameter values you want to output to file and can also put certain priors on parameters in thi
65. th designating gaps You can 22 directly enter the individual nucleotide sequences from an existing alignment by using the copy paste function Alternatively this element will be generated from information in the Data panel of BEAUti lt alignment id alignment dataType nucleotide gt lt sequence gt lt taxon idref Medi_3000_50 gt TTGGCTCA lt sequence gt lt sequence gt lt taxon idref Medi_1000_50 gt TTGGCTCA lt sequence gt lt sequence gt lt taxon idref Medi_7000_50 gt TTGGCTCA lt sequence gt lt sequence gt lt taxon idref Medi_2000_50 gt TTGGCTCA lt sequence gt lt sequence gt lt taxon idref Medi_1000_50 gt TTGGCTCA lt sequence gt lt alignment gt Each alignment block must also have a patterns block Once again this has a unique id It also specifies what region of the alignment the patterns should be calculated from with the from and to attributes The patterns element contains a reference to the corresponding alignment element indicating that the patterns we are referring to will be calculated from the specified alignment Again BEAUti will generate this element automatically from information in the Data panel lt patterns id patterns from 1 to 383 gt lt alignment idref alignment gt lt patterns gt 4 2 5 Demographic model element block The demographic model element lets you specify a parametric model of pop ulation size to be
66. this param eter is 0 there is no variation in rates among branches If this parameter is greater than 1 then the standard deviation in branch rates is greater than the mean rate This is also the case for the coefficient of vari ation When viewed in Tracer if the coefficient of 12 variation frequency histogram is abutting against zero then your data can t reject a strict molecular clock If the frequency histogram is not abutting against zero then there is among branch rate heterogeneity within your data and we recommend the use of a relaxed molecular clock yule birthRate This parameter is the rate of lineage birth in the Yule model of speciation If clock rate is 1 0 then this parameter estimates the number of lineages born from a parent lineage per substitution per site If the tree is instead measured in for example years then this parameter would be the number of new lineages born from a single parent lineage per year tmrca tazxon group This is the parameter for the tmrca of the specified taxon subset that you specified in the Taxa panel The units of this variable are the same as the units for the branch lengths in the tree and will depend on the calibration information for the rate and or dates of calibrated nodes There will a tmrca taron group pa rameter for each taxon subset specified Setting priors on these parameters and or treeModel rootHeight parameter will act as calibration information 2 5 4 Priors
67. tree in Newick format that conforms to any monophyly or node height constraints that you have specified see section Finally sometimes BEAST does not proceed through the pre burn in period i e for whatever reason BEAST freezes in the pre burn in period This may happen if you only have four or fewer taxa in one of your trees 3 4 Troubleshooting BEAST Sometimes BEAST crashes without any indication why In these cases you will need to run BEAST from the command line in order to get the error message from the program so that you can report the error message to the BEAST development team 3 4 1 Running BEAST from the command line Open the Command Prompt or Terminal on Mac OS X and navigate to the directory containing the BEAST executable In Windows type the following command java jar lib beast jar Alternatively on Mac OS X use this command java jar BEAST v1 4 Contents Resources Java beast jar This will run BEAST as if it was double clicked however now if BEAST crashes the crash message called a stack trace will be written to the Command Prompt Terminal This will help in diagnosing the problem 3 4 2 Giving BEAST more memory Sometimes users try to use very large datasets and BEAST will run out of memory In some instances this can be remedied by running BEAST from the command line see section and adding some command line options to direct JAVA to give BEAST more memory using the Xms and Xmx JAVA options
68. unique id It uses the taxa and demographic model element that you have specified to construct a random starting tree This element will be generated based on options in the Model panel in BEAUti lt coalescentTree id startingTree gt lt taxa idref taxa gt lt constantSize idref constant gt lt coalescentTree gt A second option for the starting tree is to start with a UPGMA tree Again this can be achieved by selecting the appropriate option in the Model panel in BEAUti In the XML you can also specify the root height of the tree and thus scale the whole UPGMA tree to a certain time scale The units of the rate and or date priors will determine the units of this root height By default the UPGMA tree is constructed using a Jukes Cantor ref distance matrix constructed from the sequence alignment specified by the patterns el ement If you are making this change manually in the XML file then you will also have to change the tree model element to make sure that it refer ences the correct starting tree This is done by deleting the lt coalescentTree idref startingTree_Medi gt command from the tree model block and re placing it with lt upgmaTree idref startingTree gt lt upgmaTree id startingTree rootHeight 25 gt lt distanceMatrix correction JC gt lt patterns gt lt alignment idref alignment gt lt patterns gt lt distanceMatrix gt lt upgmaTree gt A third option for the
69. used as part of the coalescent tree prior The parametric models available are constant size exponential growth logistic growth and ex pansion growth The coalescent tree prior will be used to estimate the size of a population from a sequence alignment assuming that the sequences have been randomly sampled from a single panmictic population In the example below we define a constant population size demographic model which contains a populationSize element which in turn contains a parameter element It is important to ensure a reasonable starting value for the parameter and appropri ate upper and lower bounds The demographic model element will be generated based on options in the Model panel within BEAUti 23 lt constantSize id constant units years gt lt populationSize gt lt parameter id constant popSize value 100000 0 gt lt populationSize gt lt constantSize gt 4 2 6 Starting tree block element This block element specifies the starting tree to be used in the MCMC run Starting with a random starting tree can sometimes lead to difficulties because the randomly generated tree may not satisfy all of the constraints that have been placed on it in the form of priors on tree topology and divergence times If there are no hard priors i e uniform priors on divergence times or monophyly constraints then a random starting tree can be generated using the coalescent tree prior The coalescent starting tree block has a
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