Introduction
![](data:image/png;base64,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)
This vignette briefly demonstrates multiple features of
babette
, without going into much detail.
First, load the library:
This vignette shows how to:
- Let
babette
run ‘BEAST2’
- Plot the posterior estimates
- Show the effective sample sizes (ESS)
- Show the summary statistics
- Plot the posterior phylogenies
In all cases, this is done for a short MCMC chain length of 10K:
inference_model <- create_test_inference_model()
Also, in all cases, we use the same BEAST2 options:
beast2_options <- create_beast2_options(verbose = TRUE)
Let babette
run ‘BEAST2’
For an alignment, we’ll use a babette
example
alignment.
if (is_beast2_installed()) {
out <- bbt_run_from_model(
fasta_filename = get_babette_path("anthus_aco_sub.fas"),
inference_model = inference_model,
beast2_options = beast2_options
)
bbt_delete_temp_files(
inference_model = inference_model,
beast2_options = beast2_options
)
}
Plot the posterior estimates
if (is_beast2_installed()) {
library(ggplot2)
p <- ggplot(
data = out$estimates,
aes(x = Sample)
)
p + geom_line(aes(y = TreeHeight), color = "green")
p + geom_line(aes(y = YuleModel), color = "red")
p + geom_line(aes(y = birthRate), color = "blue")
}
Show the effective sample sizes (ESS)
Effective sample sizes, with 20% burn-in removed:
if (is_beast2_installed()) {
traces <- remove_burn_ins(
traces = out$estimates,
burn_in_fraction = 0.2
)
esses <- t(
calc_esses(
traces,
sample_interval = inference_model$mcmc$tracelog$log_every
)
)
colnames(esses) <- "ESS"
knitr::kable(esses)
}
For a reliable inference, use an ESS of at least 200.
Plot the posterior phylogenies
if (is_beast2_installed()) {
plot_densitree(out$anthus_aco_sub_trees, width = 2)
}