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</div>
<div class="include-supplemental-container">
<input type="checkbox" aria-label="Include MeSH and other data" name="include-supplemental" id="email-include-supplemental" class="email-include-supplemental">
<label for="email-include-supplemental" class="email-include-supplemental-label">MeSH and other data</label>
</div>
<div class="form-field recaptcha ">
<div class="g-recaptcha" id="id-recaptcha" data-sitekey="6LfsWHMdAAAAAClKbtOpjQ2pMjgsGxvv7NdZW9uI"></div>
</div>
<div id="captcha-error-message" class="usa-input-error-message captcha-validation-message" role="alert"></div>
<div class="action-panel-actions">
<button class="action-panel-submit"
type="submit"
data-loading-label="Sending..."
data-ga-category="save_share"
data-ga-action="email"
data-ga-label="send">
Send email
</button>
<button class="action-panel-cancel"
aria-label="Close 'Email citations' panel"
ref="linksrc=close_email_panel"
aria-controls="email-action-panel"
aria-expanded="false"
data-ga-category="save_share"
data-ga-action="email"
data-ga-label="cancel">
Cancel
</button>
</div>
<input type="hidden" name="email-search-details" value="" />
<input type="hidden" name="email-search-details-hash" value="0e42663a6c3bd85498fcb88798998fed7bfdc45d457db35281e41afe13cc0524" />
</form>
</div>
</div>
<div id="collections-action-panel"
class="collections-action-panel action-panel in-progress-dots-panel"
aria-hidden="true"
data-collections-open-panel-enabled="false"
data-collections-open-panel-url-hash="#open-collections-panel">
<div class="inner-wrap">
<h3 class="action-panel-heading">
Add to Collections
</h3>
<form id="collections-action-panel-form"
class="collections-action-panel-form action-panel-content action-form action-panel-smaller-selectors"
data-existing-collections-url="/list-existing-collections/"
data-add-to-existing-collection-url="/add-to-existing-collection/"
data-create-and-add-to-new-collection-url="/create-and-add-to-new-collection/"
data-get-article-ids-by-search-url="/get-article-ids-by-search/"
data-myncbi-max-collection-name-length="100"
data-add-to-collection-max-amount="1000"
data-collections-root-url="https://www.ncbi.nlm.nih.gov/myncbi/collections/">
<input type="hidden" name="csrfmiddlewaretoken" value="Ow9V5YR2bgr9eWOLX3AfJRyu70RGmTfH5jT0IOkoLReD8nUBAmdhdZ48F4zSfuN1">
<div class="choice-group" role="radiogroup">
<ul class="radio-group-items">
<li>
<input type="radio"
id="collections-action-panel-new"
class="collections-new"
name="collections"
value="new"
data-ga-category="save_share"
data-ga-action="collections"
data-ga-label="collections_radio_new">
<label for="collections-action-panel-new">Create a new collection</label>
</li>
<li>
<input type="radio"
id="collections-action-panel-existing"
class="collections-existing"
name="collections"
value="existing"
checked="true"
data-ga-category="save_share"
data-ga-action="collections"
data-ga-label="collections_radio_existing">
<label for="collections-action-panel-existing">Add to an existing collection</label>
</li>
</ul>
</div>
<div class="controls-wrapper">
<div class="action-panel-control-wrap new-collections-controls">
<label for="collections-action-panel-add-to-new" class="action-panel-label required-field-asterisk">
Name your collection:
</label>
<input
type="text"
name="add-to-new-collection"
id="collections-action-panel-add-to-new"
class="collections-action-add-to-new"
pattern="[^&quot;&amp;=&lt;&gt;\/]*" title="The following characters are not allowed in the Name field: &quot;&amp;=&lt;&gt;/"
maxlength="100"
data-ga-category="save_share"
data-ga-action="create_collection"
data-ga-label="non_favorties_collection">
<div class="collections-new-name-too-long usa-input-error-message selection-validation-message">
Name must be less than 100 characters
</div>
</div>
<div class="action-panel-control-wrap existing-collections-controls">
<label for="collections-action-panel-add-to-existing" class="action-panel-label">
Choose a collection:
</label>
<select id="collections-action-panel-add-to-existing"
class="action-panel-selector collections-action-add-to-existing"
data-ga-category="save_share"
data-ga-action="select_collection"
data-ga-label="($('#collections-action-add-to-existing').val() === 'Favorites') ? 'Favorites' : 'non_favorites_collection'">
</select>
<div class="collections-retry-load-on-error usa-input-error-message selection-validation-message">
Unable to load your collection due to an error<br>
<a href="#">Please try again</a>
</div>
</div>
</div>
<div class="action-panel-actions">
<button class="action-panel-submit"
type="submit"
data-loading-label="Adding..."
data-pinger-ignore
data-ga-category="save_share"
data-ga-action="collections"
data-ga-label="add">
Add
</button>
<button class="action-panel-cancel"
aria-label="Close 'Add to Collections' panel"
ref="linksrc=close_collections_panel"
aria-controls="collections-action-panel"
aria-expanded="false"
data-ga-category="save_share"
data-ga-action="collections"
data-ga-label="cancel">
Cancel
</button>
</div>
</form>
</div>
</div>
<div id="bibliography-action-panel"
class="bibliography-action-panel action-panel in-progress-dots-panel"
aria-hidden="true"
data-bibliography-open-panel-enabled="false"
data-bibliography-open-panel-url-hash="#open-bibliography-panel">
<div class="inner-wrap">
<h3 class="action-panel-heading">
Add to My Bibliography
</h3>
<form id="bibliography-action-panel-form"
class="bibliography-action-panel-form action-panel-content action-form action-panel-smaller-selectors"
data-add-to-bibliography-max-amount="100"
data-add-to-bibliography-batch-size="10"
data-bibliography-delegates-url="/list-bibliography-delegates/"
data-add-to-bibliography-url="/add-to-bibliography/"
data-get-article-ids-by-search-url="/get-article-ids-by-search/"
data-mybib-root-url="https://www.ncbi.nlm.nih.gov/myncbi/collections/mybibliography/">
<input type="hidden" name="csrfmiddlewaretoken" value="Ow9V5YR2bgr9eWOLX3AfJRyu70RGmTfH5jT0IOkoLReD8nUBAmdhdZ48F4zSfuN1">
<div class="action-panel-control-wrap bibliographies-controls">
<div class="choice-group">
<ul class="bibliographies-action-add radio-group-items">
<li>
<input name="bibliography" id="my-bibliography" class="my-bibliography" type="radio" checked/>
<label for="my-bibliography">My Bibliography</label>
</li>
</ul>
</div>
</div>
<div class="bibliographies-retry-load-on-error usa-input-error-message selection-validation-message">
Unable to load your delegates due to an error<br>
<a href="#">Please try again</a>
</div>
<div class="action-panel-actions">
<button class="action-panel-submit"
type="submit"
data-loading-label="Adding..."
data-pinger-ignore>
Add
</button>
<button class="action-panel-cancel"
aria-label="Close 'Add to bibliography' panel"
ref="linksrc=close_bibliography_panel"
aria-controls="bibliography-action-panel"
aria-expanded="false"
data-ga-category="save_share"
data-ga-action="mybib"
data-ga-label="cancel">
Cancel
</button>
</div>
</form>
</div>
</div>
<div id="saved-search-action-panel" class="saved-search-action-panel action-panel " aria-hidden="true"
data-saved-search-open-panel-enabled="false"
data-saved-search-open-panel-url-hash="#open-saved-search-panel">
<div class="inner-wrap">
<h2 class="action-panel-heading">
Your saved search
</h2>
<form id="saved-search-action-panel-form"
class="saved-search-action-panel-form action-panel-content action-form"
data-create-saved-search-url="/create-saved-search/"
data-try-search-terms-url="/try-search-term/"
data-saved-search-root-url="https://www.ncbi.nlm.nih.gov/myncbi/searches/">
<input type="hidden" name="csrfmiddlewaretoken" value="Ow9V5YR2bgr9eWOLX3AfJRyu70RGmTfH5jT0IOkoLReD8nUBAmdhdZ48F4zSfuN1">
<div class="action-panel-control-wrap">
<label for="saved-search-name" class="action-panel-label saved-search-name-label required-field-asterisk">
Name of saved search:
</label>
<input maxlength="200"
type="text"
name="saved-search-name"
id="saved-search-name"
class="saved-search-name"
value=""
required
pattern="[^&quot;&amp;=&lt;&gt;\/]*" title="The following characters are not allowed in the Name field: &quot;&amp;=&lt;&gt;/">
</div>
<div class="action-panel-control-wrap">
<label for="saved-search-term" class="action-panel-label required-field-asterisk">
Search terms:
</label>
<textarea name="saved-search-term" id="saved-search-term" class="saved-search-term" required></textarea>
</div>
<div class="test-search-term-wrap">
<a href="#" class="try-search-term">Test search terms</a>
</div>
<div class="choice-group action-panel-extra-margin-top">
<span class="action-panel-label" id="fieldset-label">
Would you like email updates of new search results?
</span>
<fieldset id="saved-search-alert" aria-describedby="fieldset-label">
<legend class="usa-sr-only">Saved Search Alert Radio Buttons</legend>
<ul class="radio-group-items">
<li>
<input type="radio" id="saved-search-alert-yes" class="saved-search-alert-yes" name="saved-search-alert" value="yes" checked>
<label for="saved-search-alert-yes" class="action-panel-label">Yes</label>
</li>
<li>
<input aria-label="No radio input" type="radio" id="saved-search-alert-no" class="saved-search-alert-no" name="saved-search-alert" value="no">
<label for="saved-search-alert-no" class="action-panel-label">No</label>
</li>
</ul>
</fieldset>
</div>
<div class="alert-schedule-wrap">
<div class="action-panel-control-wrap">
<label class="action-panel-label">
Email:
</label>
<span aria-label="Email address" id="saved-search-email" class="action-panel-label"><span class="action-panel-label-bold"></span> (<a class="myncbi-account-settings" href="https://www.ncbi.nlm.nih.gov/account/settings/">change</a>)</span>
</div>
<div class="action-panel-control-wrap action-panel-extra-margin-top">
<label for="saved-search-frequency" class="action-panel-label">
Frequency:
</label>
<select id="saved-search-frequency" class="no-border-panel-selector saved-search-frequency">
<option value="monthly">Monthly</option>
<option value="weekly">Weekly</option>
<option value="daily">Daily</option>
</select>
</div>
<div class="action-panel-control-wrap saved-search-monthly-additional">
<label for="saved-search-monthly-on-day" class="action-panel-label">
Which day?
</label>
<select id="saved-search-monthly-on-day" class="no-border-panel-selector">
<option value="Sunday">The first Sunday</option>
<option value="Monday">The first Monday</option>
<option value="Tuesday">The first Tuesday</option>
<option value="Wednesday">The first Wednesday</option>
<option value="Thursday">The first Thursday</option>
<option value="Friday">The first Friday</option>
<option value="Saturday">The first Saturday</option>
<option value="day">The first day</option>
<option value="weekday">The first weekday</option>
</select>
</div>
<div class="action-panel-control-wrap saved-search-weekly-additional">
<label for="saved-search-weekly-on-day" class="action-panel-label">
Which day?
</label>
<select id="saved-search-weekly-on-day" class="no-border-panel-selector saved-search-weekly-on-day">
<option value="Sunday">Sunday</option>
<option value="Monday">Monday</option>
<option value="Tuesday">Tuesday</option>
<option value="Wednesday">Wednesday</option>
<option value="Thursday">Thursday</option>
<option value="Friday">Friday</option>
<option value="Saturday">Saturday</option>
</select>
</div>
<div class="action-panel-control-wrap">
<label for="saved-search-report" class="action-panel-label">
Report format:
</label>
<select id="saved-search-report" class="no-border-panel-selector saved-search-report">
<option value="DocSum">Summary</option>
<option value="DocSumText">Summary (text)</option>
<option value="Abstract">Abstract</option>
<option value="AbstractText">Abstract (text)</option>
<option value="MEDLINE">PubMed</option>
</select>
</div>
<div class="action-panel-control-wrap">
<label for="saved-search-amount" class="action-panel-label">
Send at most:
</label>
<select id="saved-search-amount" class="no-border-panel-selector saved-search-amount">
<option value="1">1 item</option>
<option value="5" selected>5 items</option>
<option value="10">10 items</option>
<option value="20">20 items</option>
<option value="50">50 items</option>
<option value="100">100 items</option>
<option value="200">200 items</option>
</select>
</div>
<div>
<input type="checkbox" id="saved-search-send-if-no-result" class="saved-search-send-if-no-result" name="saved-search-send-if-no-result">
<label for="saved-search-send-if-no-result" class="action-panel-label smaller-checkbox">
Send even when there aren't any new results
</label>
</div>
<div class="action-panel-control-wrap option-text-in-email-wrap">
<label for="saved-search-email-text" class="action-panel-label">
Optional text in email:
</label>
<textarea name="saved-search-email-text"
id="saved-search-email-text"
class="saved-search-email-text"></textarea>
</div>
</div>
<div class="action-panel-actions">
<button class="action-panel-submit"
type="submit"
data-loading-label="Saving..."
data-ga-category="save_share"
data-ga-action="alert"
data-ga-label="save">
Save
</button>
<button class="action-panel-cancel"
aria-label="Close 'Your saved search' panel"
ref="linksrc=close_saved_search_panel"
aria-controls="saved-search-action-panel"
aria-expanded="false"
data-ga-category="save_share"
data-ga-action="alert"
data-ga-label="cancel">
Cancel
</button>
</div>
</form>
</div>
</div>
<div id="citation-manager-action-panel" class="citation-manager-action-panel action-panel" aria-hidden="true">
<div class="inner-wrap">
<h2 class="action-panel-heading">
Create a file for external citation management software
</h2>
<form id="citation-manager-action-panel-form"
class="action-panel-content action-form"
action="/results-export-ids/"
data-by-search-action="/results-export-search-data/"
data-by-ids-action="/results-export-ids/"
method="post"
data-by-search-method="post"
data-by-ids-method="post">
<input type="hidden" name="csrfmiddlewaretoken" value="Ow9V5YR2bgr9eWOLX3AfJRyu70RGmTfH5jT0IOkoLReD8nUBAmdhdZ48F4zSfuN1">
<input name="results-format" type="hidden" value="pubmed"/>
<div class="action-panel-actions">
<button class="action-panel-submit"
type="submit"
data-loading-label="Sending..."
data-ga-category="save_share"
data-ga-action="citation_manager"
data-ga-label="save">
Create file
</button>
<button class="action-panel-cancel"
aria-label="Close 'Send citations to citation manager' panel"
ref="linksrc=close_citation_manager_panel"
aria-controls="citation-manager-action-panel"
aria-expanded="false"
data-ga-category="save_share"
data-ga-action="citation_manager"
data-ga-label="cancel">
Cancel
</button>
</div>
</form>
</div>
</div>
<div id="rss-action-panel" class="rss-action-panel action-panel " aria-hidden="true">
<div class="inner-wrap">
<h2 class="action-panel-heading">
Your RSS Feed
</h2>
<form id="rss-action-panel-form"
class="rss-action-panel-form action-panel-content action-form"
data-create-rss-feed-url="/create-rss-feed-url/"
data-search-form-term-value="">
<input type="hidden" name="csrfmiddlewaretoken" value="Ow9V5YR2bgr9eWOLX3AfJRyu70RGmTfH5jT0IOkoLReD8nUBAmdhdZ48F4zSfuN1">
<div class="action-panel-control-wrap">
<label for="rss-name" class="action-panel-label required-field-asterisk">
Name of RSS Feed:
</label>
<input maxlength="200"
placeholder="Name"
type="text"
name="rss-name"
id="rss-name"
class="rss-name"
value=''
required
pattern="[^&quot;&amp;=&lt;&gt;\/]*" title="The following characters are not allowed in the Name field: &quot;&amp;=&lt;&gt;/">
</div>
<div class="rss-limit-wrap">
<div class="action-panel-control-wrap action-panel-extra-margin-top">
<label for="rss-limit" class="action-panel-label">
Number of items displayed:
</label>
<select id="rss-limit" class="no-border-panel-selector rss-limit">
<option value="5">5</option>
<option value="10">10</option>
<option value="15" selected="selected">15</option>
<option value="20">20</option>
<option value="50">50</option>
<option value="100">100</option>
</select>
</div>
</div>
<div class="action-panel-actions">
<button class="action-panel-submit"
type="submit"
data-loading-label="Creating..."
data-ga-category="save_share"
data-ga-action="alert"
data-ga-label="save">
Create RSS
</button>
<button class="action-panel-cancel"
aria-label="Close 'Your RSS' panel"
ref="linksrc=close_rss_panel"
aria-controls="rss-action-panel"
aria-expanded="false"
data-ga-category="save_share"
data-ga-action="alert"
data-ga-label="cancel">
Cancel
</button>
</div>
<div class="action-panel-control-wrap rss-link-copy-wrap">
<label for="rss-link" class="usa-sr-only">RSS Link</label>
<input placeholder="Your RSS Feed Link" type="text" name="rss-link" id="rss-link" class="rss-link" title="RSS Link">
<button
type="button"
disabled
class="rss-link-copy-button disabled"
data-ga-category="save_share"
data-ga-action="rss"
data-ga-label="copy">
Copy
</button>
</div>
</form>
</div>
</div>
</div>
</div>
<div class="article-page" id="article-page" data-article-pmid="35212733">
<aside class="page-sidebar">
<div class="inner-wrap">
<div class="full-text-links">
<div class="full-view">
<h3 class="title">
Full text links
</h3>
<div class="full-text-links-list">
<a class="link-item
dialog-focus"
href="https://academic.oup.com/sysbio/article-lookup/doi/10.1093/sysbio/syac015"
target="_blank"
rel="noopener"
ref="linksrc=fulltextorjournal_fulltext&amp;is_pmc=False&amp;PrId=7898&amp;itool=Abstract-def&amp;log$=linkouticon&amp;uid=35212733&amp;db=pubmed&amp;nlmid=9302532"
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data-ga-category="full_text"
data-ga-action="Silverchair Information Systems"
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Silverchair Information Systems
</span></a><a class="link-item
pmc
"
href="https://pmc.ncbi.nlm.nih.gov/articles/pmid/35212733/"
target="_blank"
rel="noopener"
ref="linksrc=fulltextorjournal_fulltext&amp;is_pmc=True&amp;PrId=3494&amp;itool=Abstract-def&amp;log$=linkouticon&amp;uid=35212733&amp;db=pubmed&amp;nlmid=9302532"
title="Free full text at PubMed Central"
data-ga-category="full_text"
data-ga-action="PMC"
data-ga-label="35212733"
><span class="text">
Free PMC article
</span></a>
</div>
</div>
<div class="short-view">
<a href="#" class="full-text-links-button full-text-links-dialog-trigger">
Full text links
</a>
</div>
</div>
<div class="actions-buttons sidebar"><h3 class="title">Actions</h3><div class="inner-wrap"><button class="citation-button citation-dialog-trigger"
aria-label="Open dialog with citation text in different styles"
data-ga-category="save_share"
data-ga-action="cite"
data-ga-label="open"
data-all-citations-url="/35212733/citations/"
data-citation-style="nlm"
data-pubmed-format-link="/35212733/export/"><span class="button-label">Cite</span></button><link type="text/css" href="ncbi-overlay-block/src/overlay-block.css"><div class="collections-button-container" data-article-id="35212733" data-article-db="pubmed"><button class="collections-button collections-dialog-trigger"
aria-label="Save article in MyNCBI collections."
data-ga-category="collections_button"
data-ga-action="click"
data-ga-label="collections_button"
data-collections-open-dialog-enabled="false"
data-collections-open-dialog-url="https://account.ncbi.nlm.nih.gov/?back_url=https%3A%2F%2Fpubmed.ncbi.nlm.nih.gov%2F35212733%2F%23open-collections-dialog"
data-in-collections="false"><span class="button-label">Collections</span></button><div class="overlay" role="dialog"><div id="collections-action-dialog"
class="dialog collections-dialog"
aria-hidden="true"><div class="title">Add to Collections</div><div class="collections-action-panel action-panel"><form id="collections-action-dialog-form"
class="collections-action-panel-form action-panel-content action-form action-panel-smaller-selectors"
data-existing-collections-url="/list-existing-collections/"
data-add-to-existing-collection-url="/add-to-existing-collection/"
data-create-and-add-to-new-collection-url="/create-and-add-to-new-collection/"
data-myncbi-max-collection-name-length="100"
data-collections-root-url="https://www.ncbi.nlm.nih.gov/myncbi/collections/"><input type="hidden" name="csrfmiddlewaretoken" value="Ow9V5YR2bgr9eWOLX3AfJRyu70RGmTfH5jT0IOkoLReD8nUBAmdhdZ48F4zSfuN1"><div class="choice-group" role="radiogroup"><ul class="radio-group-items"><li><input type="radio"
id="collections-action-dialog-new"
class="collections-new"
name="collections"
value="new"
data-ga-category="collections_button"
data-ga-action="click"
data-ga-label="collections_radio_new"><label for="collections-action-dialog-new">Create a new collection</label></li><li><input type="radio"
id="collections-action-dialog-existing"
class="collections-existing"
name="collections"
value="existing"
checked="true"
data-ga-category="collections_button"
data-ga-action="click"
data-ga-label="collections_radio_existing"><label for="collections-action-dialog-existing">Add to an existing collection</label></li></ul></div><div class="controls-wrapper"><div class="action-panel-control-wrap new-collections-controls"><label for="collections-action-dialog-add-to-new" class="action-panel-label required-field-asterisk">
Name your collection:
</label><input
type="text"
name="add-to-new-collection"
id="collections-action-dialog-add-to-new"
class="collections-action-add-to-new"
pattern="[^&quot;&amp;=&lt;&gt;\/]*" title="The following characters are not allowed in the Name field: &quot;&amp;=&lt;&gt;/"
maxlength="100"
data-ga-category="collections_button"
data-ga-action="create_collection"
data-ga-label="non_favorties_collection"><div class="collections-new-name-too-long usa-input-error-message selection-validation-message">
Name must be less than 100 characters
</div></div><div class="action-panel-control-wrap existing-collections-controls"><label for="collections-action-dialog-add-to-existing" class="action-panel-label">
Choose a collection:
</label><select id="collections-action-dialog-add-to-existing"
class="action-panel-selector collections-action-add-to-existing"
data-ga-category="collections_button"
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An Efficient Coalescent Epoch Model for Bayesian Phylogenetic Inference
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We present a two-headed approach called Bayesian Integrated Coalescent Epoch PlotS (BICEPS) for efficient inference of coalescent epoch models. Firstly, we integrate out population size parameters, and secondly, we introduce a set of more powerful Markov chain Monte Carlo (MCMC) proposals for flexing and stretching trees. Even though population sizes are integrated out and not explicitly sampled through MCMC, we are still able to generate samples from the population size posteriors. This allows demographic reconstruction through time and estimating the timing and magnitude of population bottlenecks and full population histories. Altogether, BICEPS can be considered a more muscular version of the popular Bayesian skyline model. We demonstrate its power and correctness by a well-calibrated simulation study. Furthermore, we demonstrate with an application to SARS-CoV-2 genomic data that some analyses that have trouble converging with the traditional Bayesian skyline prior and standard MCMC proposals can do well with the BICEPS approach. BICEPS is available as open-source package for BEAST 2 under GPL license and has a user-friendly graphical user interface.[Bayesian phylogenetics; BEAST 2; BICEPS; coalescent model.].
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(<img class="formula-image" alt="formula image" src="https://www.ncbi.nlm.nih.gov/pmc/articles/instance/9773037/equ/ImEquation1"/>) because of high probability of
negative branch lengths when scaling down or inappropriately stretching short branches
into older tips when scaling up. Tree stretch proposal moves nodes near tips (e.g., node
D) less far than nodes away from tips (e.g., node E), b) for scale factor
<img class="formula-image" alt="formula image" src="https://www.ncbi.nlm.nih.gov/pmc/articles/instance/9773037/equ/ImEquation2"/> where lighter trees are the original
state and darker trees are proposals, and c) for scale factor larger than one.</div>
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<div class="caption-wrap">
<strong class="figure-label">
<sc> Figure </sc> 5.
</strong>
<div class="figure-caption-contents"><p> BSP and BICEPS compared. a)… </p></div>
</div>
</div>
<div class="figure-caption-medium figure-caption-text" aria-hidden="true">
<strong class="figure-label">
<sc> Figure </sc> 5.
</strong>
<div class="figure-caption-contents"><p> BSP and BICEPS compared. a) Difference in clade support and clade heights for… </p></div>
</div>
<figcaption id="figure-caption-1" class="figure-caption-full figure-caption-text" itemtype="http://schema.org/ImageObject" itemprop="description">
<strong class="figure-label">
<sc>Figure</sc> 5.
</strong>
<div class="figure-caption-contents">BSP and BICEPS compared. a) Difference in clade support and clade heights for the
Bayesian skyline analysis from Douglas et al. (2021) and the same analysis with a BICEPS
prior. Red dots indicate clade support between 0 and 1 on both axis, blue dots indicate
mean clade heights with cross hairs showing the 95% HPD intervals of height estimates. The
axis are scaled between zero and the highest tree height found in either tree set. b)
Population history for COVID-19 inferred with the BSP model and c) BICEPS model. Dark
middle line indicates the median, lighter outer lines cover the 95%HPD intervals. The
x-axis shows time in years going backward from left to right, the y-axis shows population
size on a log scale. BSP and BICEPS analyses largely agree.</div>
</figcaption>
</figure>
<figure class="figure-item "
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itemprop="contentUrl"
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data-pmc-id="PMC9773037"
data-figure-id="F2">
<img class="figure-thumb" itemprop="thumbnail"
id="article-image-2"
src="https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e0f2/9773037/c69aeddd991d/syac015f2.gif"
alt="&lt;sc&gt;Figure&lt;/sc&gt; 2." />
</a>
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<div class="figure-caption figure-caption-text" itemtype="http://schema.org/ImageObject" itemprop="caption" aria-hidden="true">
<div class="caption-wrap">
<strong class="figure-label">
<sc> Figure </sc> 2.
</strong>
<div class="figure-caption-contents"><p> Epoch operator selects lower bound… </p></div>
</div>
</div>
<div class="figure-caption-medium figure-caption-text" aria-hidden="true">
<strong class="figure-label">
<sc> Figure </sc> 2.
</strong>
<div class="figure-caption-contents"><p> Epoch operator selects lower bound L, upper bound L, and scale factor s… </p></div>
</div>
<figcaption id="figure-caption-2" class="figure-caption-full figure-caption-text" itemtype="http://schema.org/ImageObject" itemprop="description">
<strong class="figure-label">
<sc>Figure</sc> 2.
</strong>
<div class="figure-caption-contents">Epoch operator selects lower bound L, upper bound L, and scale factor s and scale
all nodes between L and U. Nodes above U are moved to make space for the newly
scaled epoch. a) applied to light tree giving dark tree when scale factor less than
one, and b) when scale factor larger than one.</div>
</figcaption>
</figure>
<figure class="figure-item "
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itemprop="contentUrl"
aria-describedby="figure-caption-3"
role="button"
data-image-width="700"
data-image-height="322"
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data-pmc-id="PMC9773037"
data-figure-id="F3">
<img class="figure-thumb" itemprop="thumbnail"
id="article-image-3"
src="https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e0f2/9773037/9a6123ef1877/syac015f3.gif"
alt="&lt;sc&gt;Figure&lt;/sc&gt; 3." />
</a>
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<meta itemprop="height" itemtype="http://schema.org/ImageObject" content="322">
<div class="figure-caption figure-caption-text" itemtype="http://schema.org/ImageObject" itemprop="caption" aria-hidden="true">
<div class="caption-wrap">
<strong class="figure-label">
<sc> Figure </sc> 3.
</strong>
<div class="figure-caption-contents"><p> Performance of epoch flexer and… </p></div>
</div>
</div>
<div class="figure-caption-medium figure-caption-text" aria-hidden="true">
<strong class="figure-label">
<sc> Figure </sc> 3.
</strong>
<div class="figure-caption-contents"><p> Performance of epoch flexer and tree stretch operators. Operator are weighted such that… </p></div>
</div>
<figcaption id="figure-caption-3" class="figure-caption-full figure-caption-text" itemtype="http://schema.org/ImageObject" itemprop="description">
<strong class="figure-label">
<sc>Figure</sc> 3.
</strong>
<div class="figure-caption-contents">Performance of epoch flexer and tree stretch operators. Operator are weighted such
that run times of various combinations are similar, so ESSs are comparable. ESSs
improve a little, and weights favor the new operators over standard ones. a) ESSs on a
scale of 5002500 of the prior for different operator combinations—classic, with epoch
operator and with epoch operator and scaler. b) ESSs for posterior, c) ESSs for tree
length. d) Weights on a scale of 01 assigned to operators by the adaptable operator
sampler for standard tree scaler, up/down operator and tree stretcher. e) Weights for
standard tree scaler, tree stretcher, up/down operator, and tree stretcher with
up/down combination.</div>
</figcaption>
</figure>
<figure class="figure-item "
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itemprop="associatedMedia"
data-slide-index="4"
data-label-slug="scfiguresc-4">
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itemprop="contentUrl"
aria-describedby="figure-caption-4"
role="button"
data-image-width="695"
data-image-height="275"
data-image-alt="&lt;sc&gt;Figure&lt;/sc&gt; 4."
data-pmc-id="PMC9773037"
data-figure-id="F4">
<img class="figure-thumb" itemprop="thumbnail"
id="article-image-4"
src="https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e0f2/9773037/bba30dca5f4f/syac015f4.gif"
alt="&lt;sc&gt;Figure&lt;/sc&gt; 4." />
</a>
<meta itemprop="width" itemtype="http://schema.org/ImageObject" content="695">
<meta itemprop="height" itemtype="http://schema.org/ImageObject" content="275">
<div class="figure-caption figure-caption-text" itemtype="http://schema.org/ImageObject" itemprop="caption" aria-hidden="true">
<div class="caption-wrap">
<strong class="figure-label">
<sc> Figure </sc> 4.
</strong>
<div class="figure-caption-contents"><p> MCMC efficiency a) Trace of… </p></div>
</div>
</div>
<div class="figure-caption-medium figure-caption-text" aria-hidden="true">
<strong class="figure-label">
<sc> Figure </sc> 4.
</strong>
<div class="figure-caption-contents"><p> MCMC efficiency a) Trace of tree length for BSP (green line with very… </p></div>
</div>
<figcaption id="figure-caption-4" class="figure-caption-full figure-caption-text" itemtype="http://schema.org/ImageObject" itemprop="description">
<strong class="figure-label">
<sc>Figure</sc> 4.
</strong>
<div class="figure-caption-contents">MCMC efficiency a) Trace of tree length for BSP (green line with very low period),
BSP with new operators (blue line with higher period) and BICEPS analysis (red line
forming a satisfying hairy caterpillar pattern). The BSP analysis typically does not
reach an ESS of 10 when the BICEPS analysis already has ESSs around 200. b) Posterior
ESS for 10 runs of BSP, BSP <img class="formula-image" alt="formula image" src="https://www.ncbi.nlm.nih.gov/pmc/articles/instance/9773037/equ/ImEquation3"/> new operators, and
BICEPS with variable and fixed group sizes. Both new operators and the BICEPS prior
contribute to improving ESSs.</div>
</figcaption>
</figure>
<figure class="figure-item "
itemscope itemtype="http://schema.org/ImageObject"
itemprop="associatedMedia"
data-slide-index="5"
data-label-slug="scfiguresc-6">
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itemprop="contentUrl"
aria-describedby="figure-caption-5"
role="button"
data-image-width="699"
data-image-height="268"
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data-figure-id="F6">
<img class="figure-thumb" itemprop="thumbnail"
id="article-image-5"
src="https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e0f2/9773037/552a1e46d86f/syac015f6.gif"
alt="&lt;sc&gt;Figure&lt;/sc&gt; 6." />
</a>
<meta itemprop="width" itemtype="http://schema.org/ImageObject" content="699">
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<div class="caption-wrap">
<strong class="figure-label">
<sc> Figure </sc> 6.
</strong>
<div class="figure-caption-contents"><p> Primate analysis. a) ESS over… </p></div>
</div>
</div>
<div class="figure-caption-medium figure-caption-text" aria-hidden="true">
<strong class="figure-label">
<sc> Figure </sc> 6.
</strong>
<div class="figure-caption-contents"><p> Primate analysis. a) ESS over 10 runs for posterior when using Yule with… </p></div>
</div>
<figcaption id="figure-caption-5" class="figure-caption-full figure-caption-text" itemtype="http://schema.org/ImageObject" itemprop="description">
<strong class="figure-label">
<sc>Figure</sc> 6.
</strong>
<div class="figure-caption-contents">Primate analysis. a) ESS over 10 runs for posterior when using Yule with standard
operators, Yule with BICEPS operators and Yule skyline with BICEPS operators. b)
ESSs for the likelihood. Note the change in scale. c) Reconstruction of birth rates
with Yule Skyline showing median and 95% HPD intervals. The dashed line shows the
mean birth rate for a Yule analysis.</div>
</figcaption>
</figure>
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