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Map trait evolution on a time-calibrated phylogeny in several steps:

  • Step 1: Fit evolutionary models to trait data using Maximum Likelihood.

  • Step 2: Select the best fitting model comparing AICc.

  • Step 3: Infer ancestral character estimates (ACE) at nodes.

  • Step 4: Run stochastic mapping simulations to generate evolutionary histories compatible with the best model and inferred ACE. (Only for categorical and biogeographic data)

  • Step 5: Infer ancestral states along branches.

    • For continuous traits: use interpolation to produce a contMap.

    • For categorical and biogeographic data: compute posterior frequencies of each state/range to produce a densityMap for each state/range.

Usage

prepare_trait_data(
  tip_data,
  trait_data_type,
  phylo,
  seed = NULL,
  evolutionary_models = NULL,
  Q_matrix = NULL,
  BioGeoBEARS_directory_path = NULL,
  keep_BioGeoBEARS_files = TRUE,
  prefix_for_files = NULL,
  nb_cores = 1,
  max_range_size = 2,
  split_multi_area_ranges = FALSE,
  ...,
  res = 100,
  run_stochastic_maps = FALSE,
  nb_simulations = 100,
  color_scale = NULL,
  colors_per_levels = NULL,
  plot_map = TRUE,
  plot_overlay = TRUE,
  add_ACE_pies = TRUE,
  PDF_file_path = NULL,
  return_ace = TRUE,
  return_BSM = FALSE,
  return_simmaps = FALSE,
  return_best_model_fit = FALSE,
  return_model_selection_df = FALSE,
  verbose = TRUE
)

Arguments

tip_data

Named numeric or character vector of trait values/states/ranges at tips. Names should be ordered as the tip labels in the phylogeny found in phylo$tip.label. For biogeographic data, ranges should follow the coding scheme of BioGeoBEARS with a unique CAPITAL letter per unique area (ex: A, B), combined to form multi-area ranges (Ex: AB). Alternatively, you can provide tip_data as a matrix or data.frame of binary presence/absence in each area (coded as unique CAPITAL letter). In this case, columns are unique areas, rows are taxa, and values are integer (0/1) signaling absence or presence of the taxa in the area.

trait_data_type

Character string. Type of trait data. Either: "continuous", "categorical" or "biogeographic".

phylo

Time-calibrated phylogeny. Object of class "phylo" as defined in {ape}. Tip labels (phylo$tip.label) should match names in tip_data.

seed

Integer. Set the seed to ensure reproducibility. Default is NULL (a random seed is used).

evolutionary_models

(Vector of) character string(s). To provide the set of evolutionary models to fit on the data.

  • Models available for continuous data are detailed in geiger::fitContinuous(). Default is "BM".

  • Models available for categorical data are detailed in geiger::fitDiscrete(). Default is "ARD".

  • Models for biogeographic data are fit with R package BioGeoBEARS using BioGeoBEARS::bears_optim_run(). Default is "DEC".

  • See list in "Details" section.

Q_matrix

Custom Q-matrix for categorical data representing transition classes between states. Transitions with similar integers are estimated with a shared rate parameter. Transitions with 0 represent rates that are fixed to zero (i.e., impossible transitions). Diagonal must be populated with NA. row.names(Q_matrix) and col.names(Q_matrix) are the states. Provide "matrix" among the models listed in 'evolutionary_models' to use the custom Q-matrix for modeling. Only for categorical data.

BioGeoBEARS_directory_path

Character string. The path to the directory used to store input/output files generated for/by BioGeoBEARS during biogeographic historical inferences. Only for biogeographic data.

keep_BioGeoBEARS_files

Logical. Whether the BioGeoBEARS_directory and its content should be kept after the run. Default = TRUE. Only for biogeographic data.

prefix_for_files

Character string. Prefix to add to all BioGeoBEARS files stored in the BioGeoBEARS_directory_path if keep_BioGeoBEARS_files = TRUE. Files will be exported such as 'prefix_*' with an underscore separating the prefix and the file name. Default is NULL (no prefix is added). Only for biogeographic data.

nb_cores

Integer. Number of cores to use for parallel computation during BioGeoBEARS runs. Default = 1. Only for biogeographic data.

max_range_size

Integer. Maximum number of unique areas encompassed by multi-area ranges. Default = 2. Only for biogeographic data.

split_multi_area_ranges

Logical. Whether to split multi-area ranges across unique areas when mapping ranges. Ex: For range EW, posterior probabilities will be split equally between Eastern Palearctic (E) and Western Palearctic (W). Default = FALSE. Only for biogeographic data.

...

Additional arguments to be passed down to the functions used to fit models (See evolutionary_models) and produce simmaps with phytools::make.simmap() or BioGeoBEARS::runBSM().

res

Integer. Define the number of time steps used to interpolate/estimate trait value/state/range in contMap/densityMaps. Default = 100.

run_stochastic_maps

Logical. Whether to perform continuous stochastic mapping to account for uncertainty in ancestral trait estimates. Only for continuous data (This is always 'TRUE' for categorical and biogeographic data). This functionality is currently not available for total-evidence phylogenies (i.e., including fossils as tips).

nb_simulations

Integer. Define the number of simulations generated for stochastic mapping. Default = 100.

color_scale

Character vector. List of colors to use to build the color scale with grDevices::colorRampPalette() showing the evolution of a continuous trait on the contMap. From lowest values to highest values. Only for continuous data. Default = NULL will use the rainbow() color palette.

colors_per_levels

Named character string. To set the colors to use to map each state/range posterior probabilities. Names = states/ranges; values = colors. If NULL (default), the rainbow() color scale will be used for categorical trait; the BioGeoBEARS::get_colors_for_states_list_0based() will be used for biogeographic ranges. If no color is provided for multi-area ranges, they will be interpolated based on the colors provided for unique areas. Only for categorical and biogeographic data.

plot_map

Logical. Whether to plot or not the phylogeny with mapped trait evolution. Default = TRUE.

plot_overlay

Logical. If TRUE (default), plot a unique densityMap with overlapping states/ranges using transparency. If FALSE, plot a densityMap per state/range. Only for "categorical" and "biogeographic" data.

add_ACE_pies

Logical. Whether to add pies of posterior probabilities of states/ranges at internal nodes on the mapped phylogeny. Default = TRUE. Only for categorical and biogeographic data.

PDF_file_path

Character string. If provided, the plot will be saved in a PDF file following the path provided here. The path must end with ".pdf".

return_ace

Logical. Whether the named vector of ancestral character estimates (ACE) at internal nodes should be returned in the output. Default = TRUE.

return_BSM

Logical. (Only for Biogeographic data) Whether the summary tables of anagenetic and cladogenetic events generated during the Biogeographic Stochastic Mapping (BSM) process should be returned in the output. Default = FALSE.

return_simmaps

Logical. Whether the evolutionary histories simulated during stochastic mapping (i.e., simmaps) should be returned in the output. Default = TRUE. Only for "categorical" and "biogeographic" data. This is needed to be able to track which simulated histories provided which trait data in downstream analyses, although it may create voluminous objects.

return_best_model_fit

Logical. Whether to include the output of the best fitting model in the function output. Default = FALSE.

return_model_selection_df

Logical. Whether to include the data.frame summarizing model comparisons used to select the best fitting model should be returned in the output. Default = FALSE.

verbose

Logical. Should progression be displayed? A message will be printed for every step in the process. Default is TRUE.

Value

The function returns a list with at least three elements.

  • $contMap (For "continuous" data) Object of class "contMap", typically generated with phytools::contMap(), that contains a phylogenetic tree and a unique continuous trait mapping representing the interpolated ML estimates of ancestral trait evolution across the phylogeny.

  • $contMaps (For "continuous" data, with run_stochastic_maps = TRUE) List of objects of class "contMap", each map representing a simulated ancestral trait evolution conditioned on the observed trait data and model fit.

  • $densityMaps (For "categorical" and "biogeographic" data) List of objects of class "densityMap", typically generated with phytools::densityMap(), that contains a phylogenetic tree and associated mapping of probability to harbor a given state/range along branches. The list contains one "densityMap" per state/range found in the tip_data.

  • $densityMaps_all_ranges (For "biogeographic" data only, if split_multi_area_ranges = TRUE) Same as $densityMaps, but for all ranges including the multi-area ranges (e.g., AB) while $densityMaps will display posterior probabilities for unique areas only (e.g., A and B), with multi-area ranges split across the unique areas they encompass.

  • $trait_data_type Character string. Record the type of trait data. Either: "continuous", "categorical" or "biogeographic".

  • $nb_simulations Integer. The number of simulations / stochastic maps produced.

If return_ace = TRUE,

  • $ace For continuous traits: Named vector that records the ancestral character estimates (ACE) at internal nodes. For categorical and biogeographic data: Matrix that records the posterior probabilities of ancestral states/ranges (characters) estimates (ACE) at internal nodes. Rows are internal nodes. Columns are states/ranges. Values are posterior probabilities of each state per node.

  • $ace_all_ranges For biogeographic data, if split_multi_area_ranges = TRUE: Named vector that records the ancestral character estimates (ACE) at internal nodes, but including all ranges observed in the simmaps, including the multi-area ranges (e.g., AB), while $ace will display posterior probabilities for unique areas only (e.g., A and B), with multi-area ranges split across the unique areas they encompass.

If return_BSM = TRUE, (Only for biogeographic data)

  • $BSM_output List of two lists that contains summary information of cladogenetic ($RES_caldo_events_tables) and anagenetic ($RES_ana_events_tables) events recording across the N simulations of biogeographic histories performed during Biogeographic Stochastic Mapping (BSM). Each element of the list is a data.frame recording events occurring during one simulation.

If return_simmaps = TRUE, (Only for categorical and biogeographic data)

  • $simmaps List that contains as many objects of class "simmap" that nb_simulations were requested. Each simmap object is a phylogeny with one simulated discrete character/geographic evolutionary history (i.e., transitions in character states/geographic ranges) mapped along branches. This is needed to be able to track which simulated history provided which trait data in downstream analyses, although it may create voluminous objects.

If return_best_model_fit = TRUE,

  • $best_model_fit List that provides the output of the best fitting model.

If model_selection_df = TRUE,

  • $model_selection_df Data.frame that summarizes model comparisons used to select the best fitting model.

For biogeographic data, the function also produces input and output files associated with BioGeoBEARS and stored in the directory specified in BioGeoBEARS_directory_path. The directory and its content are kept if keep_BioGeoBEARS_files = TRUE

Details

Map trait evolution on a time-calibrated phylogeny in several steps:

Step 1: Models are fit using a Maximum Likelihood approach:

  • For "continuous" data models are fit with geiger::fitContinuous(): "BM", "OU", "EB", "rate_trend", "lambda", "kappa", "delta". Default is "BM".

  • For "categorical" data models are fit with geiger::fitDiscrete(): "ER", "SYM", "ARD", "meristic", "matrix". Default is "ARD".

  • For "biogeographic" data models are fit with R package BioGeoBEARS: "BAYAREALIKE", "DIVALIKE", "DEC", "BAYAREALIKE+J", "DIVALIKE+J", "DEC+J". Default is "DEC".

Step 2: Best model is identified among the list of evolutionary_models by comparing the corrected AIC (AICc) and selecting the model with lowest AICc.

Step 3: For continuous traits: Ancestral character estimates (ACE) are inferred with phytools::fastAnc on a tree with modified branch lengths scaled to reflect the evolutionary rates estimated from the best model using phytools::rescale().

Step 4: Stochastic Mapping.

For categorical and biogeographic data, stochastic mapping simulations are performed by default to generate evolutionary histories compatible with the best model and inferred ACE. Node states/ranges are drawn from the scaled marginal likelihoods of ACE, and state/range shifts along branches are simulated according to the transition matrix Q estimated from the best fitting model.

For continuous trait data, stochastic mapping simulations are performed only if run_stochastic_maps = TRUE. Evolutionary histories of continuous trait evolution, conditioned on the observed trait data and model fit, including estimates of ancestral trait values and variance at nodes, are produced with contsimmap::make.contsimmap().

Step 5: Infer ancestral states along branches.

  • For continuous traits:

    • Ancestral values along branches are interpolated using phytools::contMap(). This provides quick estimates of trait value at any point in time, but does not account for uncertainty in trait estimates. Moreover, it does not provide fully accurate ML estimates in case of models that are time or trait-value dependent (such as "EB" or "OU") as the interpolation used to build the contMap is assuming a constant rate along each branch. However, ancestral trait values at nodes remain accurate. It produces a single $contMap representing the ML estimates of ancestral trait evolution across the phylogeny.

    • If run_stochastic_maps = TRUE, ancestral values along branches are recorded across all simulated evolutionary histories (i.e., continuous stochastic maps), thus accounting for uncertainty in trait estimates. This is needed to apply the "paired" or "full" strategies to account for trait estimate uncertainty in deepSTRAPP tests (See the uncertainty_strategy argument in run_deepSTRAPP_* functions). It produces a list of $contMaps, each map representing a simulated ancestral trait evolution across the phylogeny. This functionality is currently not available for total-evidence phylogenies (i.e., including fossils as tips)

  • For categorical and biogeographic data: posterior frequencies of each state/range among the simulated evolutionary histories (simmaps) are computed to produce a list of $densityMaps, one for each state/range, reflecting the changes along branches in probability of harboring a given state/range.

Note on macroevolutionary models of trait evolution

This function provides an easy solution to map trait evolution on a time-calibrated phylogeny and obtain the contMaps/densityMaps objects needed to run the deepSTRAPP workflow (run_deepSTRAPP_for_focal_time, run_deepSTRAPP_over_time). However, it does not explore the most complex options for trait evolution. You may need to explore more complex models to capture the dynamics of trait evolution. such as trait-dependent multi-rate models (phytools::brownie.lite(), OUwie::OUwie()), Bayesian MCMC implementations allowing a thorough exploration of location and number of regime shifts (Ex: BayesTraits, RevBayes), or RRphylo for a penalized phylogenetic ridge regression approach that allows regime shifts across all branches.

Note on macroevolutionary models of biogeographic history

This function provides an easy solution to infer ancestral geographic ranges using the BioGeoBEARS framework. It allows you to directly compare model fits across 6 models: DEC, DEC+J, DIVALIKE, DIVALIKE+J, BAYAREALIKE, BAYAREALIKE+J. It uses a step-wise approach by using MLE estimates of previous runs as starting parameter values when increasing complexity (adding +J parameters). However, it does not explore the most complex options for historical biogeography. You may need to explore more complex models to capture the dynamics of range evolution such as time-stratification with adjacency matrices, dispersal multipliers (+W), distance-based dispersal probabilities (+X), or other features. See for instance, http://phylo.wikidot.com/biogeobears.

The R package BioGeoBEARS is needed for this function to work with biogeographic data. Please install it manually from: https://github.com/nmatzke/BioGeoBEARS.

References

For macroevolutionary models in geiger: Pennell, M. W., Eastman, J. M., Slater, G. J., Brown, J. W., Uyeda, J. C., FitzJohn, R. G., ... & Harmon, L. J. (2014). geiger v2. 0: an expanded suite of methods for fitting macroevolutionary models to phylogenetic trees. Bioinformatics, 30(15), 2216-2218. doi:10.1093/bioinformatics/btu181 .

For BioGeoBEARS: Matzke, Nicholas J. (2018). BioGeoBEARS: BioGeography with Bayesian (and likelihood) Evolutionary Analysis with R Scripts. version 1.1.1, published on GitHub on November 6, 2018. doi:10.5281/zenodo.1478250 . Website: http://phylo.wikidot.com/biogeobears.

For continuous stochastic mapping in contsimmap: Martin, B. S., & Weber, M. G. (2026). Stochastic character mapping of continuous traits on phylogenies. Systematic Biology, syag031. doi:10.1093/sysbio/syag031 .

Author

Maël Doré

Examples

# ----- Example 1: Continuous data ----- #

## Load phylogeny and tip data
# Load eel phylogeny and tip data from the R package phytools
# Source: Collar et al., 2014; DOI: 10.1038/ncomms6505
data("eel.tree", package = "phytools")
data("eel.data", package = "phytools")

# Extract body size
eel_data <- stats::setNames(eel.data$Max_TL_cm,
                            rownames(eel.data))

 # (May take several minutes to run)
## Map trait evolution on the phylogeny
mapped_cont_traits <- prepare_trait_data(
   tip_data = eel_data,
   trait_data_type = "continuous",
   phylo = eel.tree,
   evolutionary_models = c("BM", "OU", "lambda", "kappa"),
   # Example of an additional argument ('control') that can be provided to geiger::fitContinuous()
   control = list(niter = 200),
   color_scale = c("darkgreen", "limegreen", "orange", "red"),
   plot_map = FALSE,
   return_best_model_fit = TRUE,
   return_model_selection_df = TRUE,
   verbose = TRUE)
#> Warning: Entries in 'tip_data' were reordered to match 'phylo$tip.label.
#> 
#> 2026-10-14 09:42:03.944699 - Fit 4 evolutionary model(s): BM, OU, lambda, kappa.
#> 
#> GEIGER-fitted comparative model of continuous data
#>  fitted ‘BM’ model parameters:
#> 	sigsq = 113.836440
#> 	z0 = 85.702289
#> 
#>  model summary:
#> 	log-likelihood = -338.935210
#> 	AIC = 681.870419
#> 	AICc = 682.077316
#> 	free parameters = 2
#> 
#> Convergence diagnostics:
#> 	optimization iterations = 200
#> 	failed iterations = 0
#> 	number of iterations with same best fit = 200
#> 	frequency of best fit = 1.000
#> 
#>  object summary:
#> 	'lik' -- likelihood function
#> 	'bnd' -- bounds for likelihood search
#> 	'res' -- optimization iteration summary
#> 	'opt' -- maximum likelihood parameter estimates
#> 
#> GEIGER-fitted comparative model of continuous data
#>  fitted ‘OU’ model parameters:
#> 	alpha = 0.043392
#> 	sigsq = 278.044029
#> 	z0 = 92.068425
#> 
#>  model summary:
#> 	log-likelihood = -329.253814
#> 	AIC = 664.507628
#> 	AICc = 664.928681
#> 	free parameters = 3
#> 
#> Convergence diagnostics:
#> 	optimization iterations = 200
#> 	failed iterations = 0
#> 	number of iterations with same best fit = 17
#> 	frequency of best fit = 0.085
#> 
#>  object summary:
#> 	'lik' -- likelihood function
#> 	'bnd' -- bounds for likelihood search
#> 	'res' -- optimization iteration summary
#> 	'opt' -- maximum likelihood parameter estimates
#> 
#> GEIGER-fitted comparative model of continuous data
#>  fitted ‘lambda’ model parameters:
#> 	lambda = 0.636243
#> 	sigsq = 41.411088
#> 	z0 = 88.966542
#> 
#>  model summary:
#> 	log-likelihood = -328.943987
#> 	AIC = 663.887974
#> 	AICc = 664.309027
#> 	free parameters = 3
#> 
#> Convergence diagnostics:
#> 	optimization iterations = 200
#> 	failed iterations = 0
#> 	number of iterations with same best fit = 56
#> 	frequency of best fit = 0.280
#> 
#>  object summary:
#> 	'lik' -- likelihood function
#> 	'bnd' -- bounds for likelihood search
#> 	'res' -- optimization iteration summary
#> 	'opt' -- maximum likelihood parameter estimates
#> 
#> GEIGER-fitted comparative model of continuous data
#>  fitted ‘kappa’ model parameters:
#> 	kappa = 0.020835
#> 	sigsq = 1067.973334
#> 	z0 = 79.660043
#> 
#>  model summary:
#> 	log-likelihood = -329.098433
#> 	AIC = 664.196866
#> 	AICc = 664.617918
#> 	free parameters = 3
#> 
#> Convergence diagnostics:
#> 	optimization iterations = 200
#> 	failed iterations = 0
#> 	number of iterations with same best fit = 31
#> 	frequency of best fit = 0.155
#> 
#>  object summary:
#> 	'lik' -- likelihood function
#> 	'bnd' -- bounds for likelihood search
#> 	'res' -- optimization iteration summary
#> 	'opt' -- maximum likelihood parameter estimates
#> 
#> 2026-10-14 09:42:06.720523 - Compare model fits.
#> 
#>         model      logL k      AIC     AICc delta_AICc Akaike_weights rank
#> BM         BM -338.9352 2 681.8704 682.0773 17.7682886            0.0    4
#> OU         OU -329.2538 3 664.5076 664.9287  0.6196536           28.3    3
#> lambda lambda -328.9440 3 663.8880 664.3090  0.0000000           38.6    1
#> kappa   kappa -329.0984 3 664.1969 664.6179  0.3088913           33.1    2
#> 
#> 2026-10-14 09:42:06.722224 - Infer Ancestral Character Estimates from the best fitting model: lambda.
#> 
#> 2026-10-14 09:42:06.754957 - Create contMap of ML estimates by interpolating values along branches.
#> 

## Explore output
plot_contMap(mapped_cont_traits$contMap) # contMap with interpolated trait values

mapped_cont_traits$model_selection_df # Summary of model selection
#>         model      logL k      AIC     AICc delta_AICc Akaike_weights rank
#> BM         BM -338.9352 2 681.8704 682.0773 17.7682886            0.0    4
#> OU         OU -329.2538 3 664.5076 664.9287  0.6196536           28.3    3
#> lambda lambda -328.9440 3 663.8880 664.3090  0.0000000           38.6    1
#> kappa   kappa -329.0984 3 664.1969 664.6179  0.3088913           33.1    2
# Parameter estimates and optimization summary of the best model
# (Here, the best model is Pagel's lambda)
mapped_cont_traits$best_model_fit$opt
#> $lambda
#> [1] 0.6362433
#> 
#> $sigsq
#> [1] 41.41109
#> 
#> $z0
#> [1] 88.96654
#> 
#> $lnL
#> [1] -328.944
#> 
#> $method
#> [1] "subplex"
#> 
#> $k
#> [1] 3
#> 
#> $aic
#> [1] 663.888
#> 
#> $aicc
#> [1] 664.309
#> 
mapped_cont_traits$ace # Ancestral character estimates at internal nodes 
#> Ancestral character estimates using fastAnc:
#>        62        63        64        65        66        67        68        69 
#>  88.96654  84.58625  85.69340  84.77186  84.94055  80.66628  80.66619  64.96112 
#>        70        71        72        73        74        75        76        77 
#>  84.53240  85.21879  90.35787 102.56351 102.18404 106.13102  81.58793  81.46133 
#>        78        79        80        81        82        83        84        85 
#>  76.80887  88.77284  87.65063  81.95111  80.24066  75.22268  79.94220  81.35941 
#>        86        87        88        89        90        91        92        93 
#>  84.85109  82.82376  88.34880  91.31743  99.78227 117.29557 122.03260  99.35273 
#>        94        95        96        97        98        99       100       101 
#> 103.13006  89.57367  92.40435  93.29094  91.17696  90.06076  97.79832  79.43117 
#>       102       103       104       105       106       107       108       109 
#>  97.48620 103.59038 116.08903 119.39596 124.56492 130.76222 125.12802 117.13617 
#>       110       111       112       113       114       115       116       117 
#> 116.62975 113.85096 104.13008 156.76555 178.60904 184.70409  81.37708  72.18582 
#>       118       119       120       121 
#>  68.24510  63.30516 102.91593 111.15401 
#> 

# ----- Example 2: Categorical data ----- #

## Load phylogeny and tip data
# Load eel phylogeny and tip data from the R package phytools
# Source: Collar et al., 2014; DOI: 10.1038/ncomms6505
data("eel.tree", package = "phytools")
data("eel.data", package = "phytools")

# Transform feeding mode data into a 3-level factor
eel_data <- stats::setNames(eel.data$feed_mode, rownames(eel.data))
eel_data <- as.character(eel_data)
eel_data[c(1, 5, 6, 7, 10, 11, 15, 16, 17, 24, 25, 28, 30, 51, 52, 53, 55, 58, 60)] <- "kiss"
eel_data <- stats::setNames(eel_data, rownames(eel.data))
table(eel_data)
#> eel_data
#>    bite    kiss suction 
#>      20      19      22 

# Manually define a Q_matrix for rate classes of state transition to use in the 'matrix' model
# Does not allow transitions from state 1 ("bite") to state 2 ("kiss") or state 3 ("suction")
# Does not allow transitions from state 3 ("suction") to state 1 ("bite")
# Set symmetrical rates between state 2 ("kiss") and state 3 ("suction")
Q_matrix = rbind(c(NA, 0, 0), c(1, NA, 2), c(0, 2, NA))

# Set colors per state
colors_per_states <- c("limegreen", "orange", "dodgerblue")
names(colors_per_states) <- c("bite", "kiss", "suction")

 # (May take several minutes to run)
## Run evolutionary models
eel_cat_3lvl_data <- prepare_trait_data(tip_data = eel_data, phylo = eel.tree,
    trait_data_type = "categorical",
    colors_per_levels = colors_per_states,
    evolutionary_models = c("ER", "SYM", "ARD", "meristic", "matrix"),
    Q_matrix = Q_matrix,
    nb_simulations = 1000,
    plot_map = TRUE,
    plot_overlay = TRUE,
    return_best_model_fit = TRUE,
    return_model_selection_df = TRUE) 
#> Warning: Entries in 'tip_data' were reordered to match 'phylo$tip.label.
#> 
#> 2026-10-14 09:42:08.172407 - Fit 5 evolutionary model(s): ER, SYM, ARD, meristic, matrix.
#> 
#> ------ ARD model ------ 
#> 
#> GEIGER-fitted comparative model of discrete data
#>  fitted Q matrix:
#>                     bite          kiss       suction
#>     bite    -0.030276943  5.305002e-33  3.027694e-02
#>     kiss     0.037504169 -3.750417e-02  7.430502e-28
#>     suction  0.001236936  3.345092e-02 -3.468786e-02
#> 
#>  model summary:
#> 	log-likelihood = -62.758696
#> 	AIC = 137.517393
#> 	AICc = 139.072948
#> 	free parameters = 6
#> 
#> Convergence diagnostics:
#> 	optimization iterations = 100
#> 	failed iterations = 0
#> 	number of iterations with same best fit = 7
#> 	frequency of best fit = 0.070
#> 
#>  object summary:
#> 	'lik' -- likelihood function
#> 	'bnd' -- bounds for likelihood search
#> 	'res' -- optimization iteration summary
#> 	'opt' -- maximum likelihood parameter estimates
#> 
#> ------ ER model ------ 
#> 
#> GEIGER-fitted comparative model of discrete data
#>  fitted Q matrix:
#>                    bite        kiss     suction
#>     bite    -0.04152112  0.02076056  0.02076056
#>     kiss     0.02076056 -0.04152112  0.02076056
#>     suction  0.02076056  0.02076056 -0.04152112
#> 
#>  model summary:
#> 	log-likelihood = -63.784402
#> 	AIC = 129.568804
#> 	AICc = 129.636601
#> 	free parameters = 1
#> 
#> Convergence diagnostics:
#> 	optimization iterations = 100
#> 	failed iterations = 0
#> 	number of iterations with same best fit = 100
#> 	frequency of best fit = 1.000
#> 
#>  object summary:
#> 	'lik' -- likelihood function
#> 	'bnd' -- bounds for likelihood search
#> 	'res' -- optimization iteration summary
#> 	'opt' -- maximum likelihood parameter estimates
#> 
#> ------ SYM model ------ 
#> 
#> GEIGER-fitted comparative model of discrete data
#>  fitted Q matrix:
#>                     bite        kiss      suction
#>     bite    -0.040962847  0.03174439  0.009218461
#>     kiss     0.031744386 -0.05706393  0.025319542
#>     suction  0.009218461  0.02531954 -0.034538003
#> 
#>  model summary:
#> 	log-likelihood = -63.442589
#> 	AIC = 132.885178
#> 	AICc = 133.306230
#> 	free parameters = 3
#> 
#> Convergence diagnostics:
#> 	optimization iterations = 100
#> 	failed iterations = 0
#> 	number of iterations with same best fit = 39
#> 	frequency of best fit = 0.390
#> 
#>  object summary:
#> 	'lik' -- likelihood function
#> 	'bnd' -- bounds for likelihood search
#> 	'res' -- optimization iteration summary
#> 	'opt' -- maximum likelihood parameter estimates
#> 
#> ------ Meristic model ------ 
#> 
#> GEIGER-fitted comparative model of discrete data
#>  fitted Q matrix:
#>                    bite        kiss     suction
#>     bite    -0.05519364  0.05519364  0.00000000
#>     kiss     0.05519364 -0.09295037  0.03775673
#>     suction  0.00000000  0.03775673 -0.03775673
#> 
#>  model summary:
#> 	log-likelihood = -63.667544
#> 	AIC = 131.335088
#> 	AICc = 131.541984
#> 	free parameters = 2
#> 
#> Convergence diagnostics:
#> 	optimization iterations = 100
#> 	failed iterations = 0
#> 	number of iterations with same best fit = 77
#> 	frequency of best fit = 0.770
#> 
#>  object summary:
#> 	'lik' -- likelihood function
#> 	'bnd' -- bounds for likelihood search
#> 	'res' -- optimization iteration summary
#> 	'opt' -- maximum likelihood parameter estimates
#> 
#> ------ User-defined matrix model ------ 
#> 
#> GEIGER-fitted comparative model of discrete data
#>  fitted Q matrix:
#>                   bite        kiss     suction
#>     bite    0.00000000  0.00000000  0.00000000
#>     kiss    0.02464787 -0.06273438  0.03808651
#>     suction 0.00000000  0.03808651 -0.03808651
#> 
#>  model summary:
#> 	log-likelihood = -65.718012
#> 	AIC = 135.436023
#> 	AICc = 135.642920
#> 	free parameters = 2
#> 
#> Convergence diagnostics:
#> 	optimization iterations = 100
#> 	failed iterations = 0
#> 	number of iterations with same best fit = 38
#> 	frequency of best fit = 0.380
#> 
#>  object summary:
#> 	'lik' -- likelihood function
#> 	'bnd' -- bounds for likelihood search
#> 	'res' -- optimization iteration summary
#> 	'opt' -- maximum likelihood parameter estimates
#> 
#> 2026-10-14 09:42:44.817219 - Compare model fits.
#> 
#>             model      logL k      AIC     AICc delta_AICc Akaike_weights rank
#> ER             ER -63.78440 1 129.5688 129.6366   0.000000           62.3    1
#> SYM           SYM -63.44259 3 132.8852 133.3062   3.669630           10.0    3
#> ARD           ARD -62.75870 6 137.5174 139.0729   9.436348            0.6    5
#> meristic meristic -63.66754 2 131.3351 131.5420   1.905384           24.0    2
#> matrix     matrix -65.71801 2 135.4360 135.6429   6.006319            3.1    4
#> 2026-10-14 09:42:44.818689 - Run simulations for stochastic mapping.
#> 
#> make.simmap is sampling character histories conditioned on
#> the transition matrix
#> 
#> Q =
#>                bite        kiss     suction
#> bite    -0.04152112  0.02076056  0.02076056
#> kiss     0.02076056 -0.04152112  0.02076056
#> suction  0.02076056  0.02076056 -0.04152112
#> (specified by the user);
#> and (mean) root node prior probabilities
#> pi =
#>      bite      kiss   suction 
#> 0.3333333 0.3333333 0.3333333 
#> Done.
#> 2026-10-14 09:43:24.181512 - Extract ACE as posterior sampling from stochastic mapping.
#> 2026-10-14 09:43:25.864008 - Create densityMaps by summarizing simulations of evolutionary history (simmaps).
#> 
#> 2026-10-14 09:43:42.334402 - Posterior probability computed for edge n°100/120
#> 2026-10-14 09:43:47.477121 - Posterior probabilities computed for State = bite - n°1/3
#> 2026-10-14 09:44:03.609682 - Posterior probability computed for edge n°100/120
#> 2026-10-14 09:44:09.03993 - Posterior probabilities computed for State = kiss - n°2/3
#> 2026-10-14 09:44:26.142727 - Posterior probability computed for edge n°100/120
#> 2026-10-14 09:44:31.320239 - Posterior probabilities computed for State = suction - n°3/3
#> 
#> 2026-10-14 09:44:31.320449 - Plot a unique densityMap with for all states overlaid.


# Load directly output
data(eel_cat_3lvl_data, package = "deepSTRAPP")

## Explore output
plot(eel_cat_3lvl_data$densityMaps[[1]]) # densityMap for state n°1 ("bite")

eel_cat_3lvl_data$model_selection_df # Summary of model selection
#>             model      logL k      AIC     AICc delta_AICc Akaike_weights rank
#> ER             ER -63.78440 1 129.5688 129.6366   0.000000           62.3    1
#> SYM           SYM -63.44259 3 132.8852 133.3062   3.669630           10.0    3
#> ARD           ARD -62.75870 6 137.5174 139.0729   9.436348            0.6    5
#> meristic meristic -63.66754 2 131.3351 131.5420   1.905384           24.0    2
#> matrix     matrix -65.71801 2 135.4360 135.6429   6.006319            3.1    4
# Parameter estimates and optimization summary of the best model
# (Here, the best model is ER)
print(eel_cat_3lvl_data$best_model_fit)$ # Summary of the best evolutionary model
eel_cat_3lvl_data$ace # Posterior probabilities of each state (= ACE) at internal nodes
#> GEIGER-fitted comparative model of discrete data
#>  fitted Q matrix:
#>                    bite        kiss     suction
#>     bite    -0.04152112  0.02076056  0.02076056
#>     kiss     0.02076056 -0.04152112  0.02076056
#>     suction  0.02076056  0.02076056 -0.04152112
#> 
#>  model summary:
#> 	log-likelihood = -63.784402
#> 	AIC = 129.568804
#> 	AICc = 129.636601
#> 	free parameters = 1
#> 
#> Convergence diagnostics:
#> 	optimization iterations = 100
#> 	failed iterations = 0
#> 	number of iterations with same best fit = 100
#> 	frequency of best fit = 1.000
#> 
#>  object summary:
#> 	'lik' -- likelihood function
#> 	'bnd' -- bounds for likelihood search
#> 	'res' -- optimization iteration summary
#> 	'opt' -- maximum likelihood parameter estimates
#> NULL


# ----- Example 3: Biogeographic data ----- #

if (deepSTRAPP::is_dev_version())
{
 ## The R package 'BioGeoBEARS' is needed for this function to work with biogeographic data.
 # Please install it manually from: https://github.com/nmatzke/BioGeoBEARS.

 ## Load phylogeny and tip data
 # Load eel phylogeny and tip data from the R package phytools
 # Source: Collar et al., 2014; DOI: 10.1038/ncomms6505
 data("eel.tree", package = "phytools")
 data("eel.data", package = "phytools")

 # Transform feeding mode data into biogeographic data with ranges A, B, and AB.
 eel_data <- stats::setNames(eel.data$feed_mode, rownames(eel.data))
 eel_data <- as.character(eel_data)
 eel_data[eel_data == "bite"] <- "A"
 eel_data[eel_data == "suction"] <- "B"
 eel_data[c(5, 6, 7, 15, 25, 32, 33, 34, 50, 52, 57, 58, 59)] <- "AB"
 eel_data <- stats::setNames(eel_data, rownames(eel.data))
 table(eel_data)

 colors_per_ranges <- c("dodgerblue3", "gold")
 names(colors_per_ranges) <- c("A", "B")

  # (May take several minutes to run)

 # Load ape and BioGeoBEARS to use models internally
 library(ape)
 library(BioGeoBEARS)

 ## Run evolutionary models
 eel_biogeo_data <- prepare_trait_data(
    tip_data = eel_data,
    trait_data_type = "biogeographic",
    phylo = eel.tree,
    # Default = "DEC" for biogeographic
    evolutionary_models = c("BAYAREALIKE", "DIVALIKE", "DEC",
                            "BAYAREALIKE+J", "DIVALIKE+J", "DEC+J"),
    BioGeoBEARS_directory_path = tempdir(), # Ex: "./BioGeoBEARS_directory/"
    keep_BioGeoBEARS_files = FALSE,
    prefix_for_files = "eel",
    max_range_size = 2,
    split_multi_area_ranges = TRUE, # Set to TRUE to display the two outputs
    # Reduce the number of Stochastic Mapping simulations to save time (Default = '1000')
    nb_simulations = 100,
    colors_per_levels = colors_per_ranges,
    return_simmaps = TRUE,
    return_best_model_fit = TRUE,
    return_model_selection_df = TRUE,
    verbose = TRUE) 

 # Load directly output
 data(eel_biogeo_data, package = "deepSTRAPP")

 ## Explore output
 str(eel_biogeo_data, 1)
 eel_biogeo_data$model_selection_df # Summary of model selection
 # Parameter estimates and optimization summary of the best model
 # (Here, the best model is DEC+J)
 eel_biogeo_data$best_model_fit$optim_result

 # Posterior probabilities of each state (= ACE) at internal nodes
 eel_biogeo_data$ace # Only with unique areas
 eel_biogeo_data$ace_all_ranges # Including multi-area ranges (Here, AB)

 ## Plot densityMaps
 # densityMap for range n°1 ("A")
 plot(eel_biogeo_data$densityMaps[[1]])
 # densityMaps with all unique areas overlaid
 plot_densityMaps_overlay(eel_biogeo_data$densityMaps)
 # densityMaps with all ranges (including multi-area ranges) overlaid
 plot_densityMaps_overlay(eel_biogeo_data$densityMaps_all_ranges)
}