<?xml version="1.0" encoding="utf-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Publishing DTD v1.1d3 20150301//EN" "http://jats.nlm.nih.gov/publishing/1.1d3/JATS-journalpublishing1.dtd">
<article article-type="research-article" dtd-version="1.1d3" xml:lang="en" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">
<front>
<journal-meta>
<journal-id journal-id-type="nlm-ta">PLoS Med</journal-id>
<journal-id journal-id-type="publisher-id">plos</journal-id>
<journal-id journal-id-type="pmc">plosmed</journal-id>
<journal-title-group>
<journal-title>PLOS Medicine</journal-title>
</journal-title-group>
<issn pub-type="ppub">1549-1277</issn>
<issn pub-type="epub">1549-1676</issn>
<publisher>
<publisher-name>Public Library of Science</publisher-name>
<publisher-loc>San Francisco, CA USA</publisher-loc>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.1371/journal.pmed.1004283</article-id>
<article-id pub-id-type="publisher-id">PMEDICINE-D-22-04017</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Research Article</subject>
</subj-group>
<subj-group subj-group-type="Discipline-v3">
<subject>Medicine and health sciences</subject><subj-group><subject>Diagnostic medicine</subject><subj-group><subject>Virus testing</subject></subj-group></subj-group></subj-group><subj-group subj-group-type="Discipline-v3">
<subject>Medicine and health sciences</subject><subj-group><subject>Medical conditions</subject><subj-group><subject>Infectious diseases</subject><subj-group><subject>Respiratory infections</subject></subj-group></subj-group></subj-group></subj-group><subj-group subj-group-type="Discipline-v3">
<subject>Medicine and health sciences</subject><subj-group><subject>Medical conditions</subject><subj-group><subject>Respiratory disorders</subject><subj-group><subject>Respiratory infections</subject></subj-group></subj-group></subj-group></subj-group><subj-group subj-group-type="Discipline-v3">
<subject>Medicine and health sciences</subject><subj-group><subject>Pulmonology</subject><subj-group><subject>Respiratory disorders</subject><subj-group><subject>Respiratory infections</subject></subj-group></subj-group></subj-group></subj-group><subj-group subj-group-type="Discipline-v3">
<subject>Medicine and health sciences</subject><subj-group><subject>Medical conditions</subject><subj-group><subject>Infectious diseases</subject><subj-group><subject>Viral diseases</subject><subj-group><subject>COVID 19</subject></subj-group></subj-group></subj-group></subj-group></subj-group><subj-group subj-group-type="Discipline-v3">
<subject>Biology and life sciences</subject><subj-group><subject>Molecular biology</subject><subj-group><subject>Molecular biology techniques</subject><subj-group><subject>Artificial gene amplification and extension</subject><subj-group><subject>Polymerase chain reaction</subject></subj-group></subj-group></subj-group></subj-group></subj-group><subj-group subj-group-type="Discipline-v3">
<subject>Research and analysis methods</subject><subj-group><subject>Molecular biology techniques</subject><subj-group><subject>Artificial gene amplification and extension</subject><subj-group><subject>Polymerase chain reaction</subject></subj-group></subj-group></subj-group></subj-group><subj-group subj-group-type="Discipline-v3">
<subject>Medicine and health sciences</subject><subj-group><subject>Epidemiology</subject></subj-group></subj-group><subj-group subj-group-type="Discipline-v3">
<subject>Biology and life sciences</subject><subj-group><subject>Organisms</subject><subj-group><subject>Viruses</subject><subj-group><subject>RNA viruses</subject><subj-group><subject>Coronaviruses</subject><subj-group><subject>SARS coronavirus</subject><subj-group><subject>SARS CoV 2</subject></subj-group></subj-group></subj-group></subj-group></subj-group></subj-group></subj-group><subj-group subj-group-type="Discipline-v3">
<subject>Biology and life sciences</subject><subj-group><subject>Microbiology</subject><subj-group><subject>Medical microbiology</subject><subj-group><subject>Microbial pathogens</subject><subj-group><subject>Viral pathogens</subject><subj-group><subject>Coronaviruses</subject><subj-group><subject>SARS coronavirus</subject><subj-group><subject>SARS CoV 2</subject></subj-group></subj-group></subj-group></subj-group></subj-group></subj-group></subj-group></subj-group><subj-group subj-group-type="Discipline-v3">
<subject>Medicine and health sciences</subject><subj-group><subject>Pathology and laboratory medicine</subject><subj-group><subject>Pathogens</subject><subj-group><subject>Microbial pathogens</subject><subj-group><subject>Viral pathogens</subject><subj-group><subject>Coronaviruses</subject><subj-group><subject>SARS coronavirus</subject><subj-group><subject>SARS CoV 2</subject></subj-group></subj-group></subj-group></subj-group></subj-group></subj-group></subj-group></subj-group><subj-group subj-group-type="Discipline-v3">
<subject>Biology and life sciences</subject><subj-group><subject>Organisms</subject><subj-group><subject>Viruses</subject><subj-group><subject>Viral pathogens</subject><subj-group><subject>Coronaviruses</subject><subj-group><subject>SARS coronavirus</subject><subj-group><subject>SARS CoV 2</subject></subj-group></subj-group></subj-group></subj-group></subj-group></subj-group></subj-group><subj-group subj-group-type="Discipline-v3">
<subject>People and places</subject><subj-group><subject>Geographical locations</subject><subj-group><subject>Europe</subject><subj-group><subject>European Union</subject><subj-group><subject>France</subject></subj-group></subj-group></subj-group></subj-group></subj-group><subj-group subj-group-type="Discipline-v3">
<subject>People and places</subject><subj-group><subject>Geographical locations</subject><subj-group><subject>Oceania</subject><subj-group><subject>French Polynesia</subject></subj-group></subj-group></subj-group></subj-group></article-categories>
<title-group>
<article-title>Real-time surveillance of international SARS-CoV-2 prevalence using systematic traveller arrival screening: An observational study</article-title>
<alt-title alt-title-type="running-head">Real-time surveillance of international SARS-CoV-2 prevalence via systematic traveller arrival screening</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes" xlink:type="simple">
<contrib-id authenticated="true" contrib-id-type="orcid">https://orcid.org/0000-0001-8814-9421</contrib-id>
<name name-style="western">
<surname>Kucharski</surname>
<given-names>Adam J.</given-names>
</name>
<role content-type="http://credit.niso.org/contributor-roles/conceptualization/">Conceptualization</role>
<role content-type="http://credit.niso.org/contributor-roles/formal-analysis/">Formal analysis</role>
<role content-type="http://credit.niso.org/contributor-roles/investigation/">Investigation</role>
<role content-type="http://credit.niso.org/contributor-roles/methodology/">Methodology</role>
<role content-type="http://credit.niso.org/contributor-roles/writing-original-draft/">Writing – original draft</role>
<xref ref-type="aff" rid="aff001"><sup>1</sup></xref>
<xref ref-type="aff" rid="aff002"><sup>2</sup></xref>
<xref ref-type="corresp" rid="cor001">*</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple">
<contrib-id authenticated="true" contrib-id-type="orcid">https://orcid.org/0000-0003-3181-8326</contrib-id>
<name name-style="western">
<surname>Chung</surname>
<given-names>Kiyojiken</given-names>
</name>
<role content-type="http://credit.niso.org/contributor-roles/data-curation/">Data curation</role>
<role content-type="http://credit.niso.org/contributor-roles/investigation/">Investigation</role>
<role content-type="http://credit.niso.org/contributor-roles/writing-review-editing/">Writing – review &amp; editing</role>
<xref ref-type="aff" rid="aff002"><sup>2</sup></xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple">
<contrib-id authenticated="true" contrib-id-type="orcid">https://orcid.org/0000-0002-9913-5794</contrib-id>
<name name-style="western">
<surname>Aubry</surname>
<given-names>Maite</given-names>
</name>
<role content-type="http://credit.niso.org/contributor-roles/investigation/">Investigation</role>
<role content-type="http://credit.niso.org/contributor-roles/methodology/">Methodology</role>
<role content-type="http://credit.niso.org/contributor-roles/writing-review-editing/">Writing – review &amp; editing</role>
<xref ref-type="aff" rid="aff002"><sup>2</sup></xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple">
<contrib-id authenticated="true" contrib-id-type="orcid">https://orcid.org/0000-0001-8921-1178</contrib-id>
<name name-style="western">
<surname>Teiti</surname>
<given-names>Iotefa</given-names>
</name>
<role content-type="http://credit.niso.org/contributor-roles/data-curation/">Data curation</role>
<role content-type="http://credit.niso.org/contributor-roles/investigation/">Investigation</role>
<role content-type="http://credit.niso.org/contributor-roles/writing-review-editing/">Writing – review &amp; editing</role>
<xref ref-type="aff" rid="aff002"><sup>2</sup></xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple">
<name name-style="western">
<surname>Teissier</surname>
<given-names>Anita</given-names>
</name>
<role content-type="http://credit.niso.org/contributor-roles/data-curation/">Data curation</role>
<role content-type="http://credit.niso.org/contributor-roles/formal-analysis/">Formal analysis</role>
<role content-type="http://credit.niso.org/contributor-roles/writing-review-editing/">Writing – review &amp; editing</role>
<xref ref-type="aff" rid="aff002"><sup>2</sup></xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple">
<contrib-id authenticated="true" contrib-id-type="orcid">https://orcid.org/0000-0001-8132-0740</contrib-id>
<name name-style="western">
<surname>Richard</surname>
<given-names>Vaea</given-names>
</name>
<role content-type="http://credit.niso.org/contributor-roles/data-curation/">Data curation</role>
<role content-type="http://credit.niso.org/contributor-roles/formal-analysis/">Formal analysis</role>
<role content-type="http://credit.niso.org/contributor-roles/writing-review-editing/">Writing – review &amp; editing</role>
<xref ref-type="aff" rid="aff002"><sup>2</sup></xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple">
<contrib-id authenticated="true" contrib-id-type="orcid">https://orcid.org/0000-0001-5610-6080</contrib-id>
<name name-style="western">
<surname>Russell</surname>
<given-names>Timothy W.</given-names>
</name>
<role content-type="http://credit.niso.org/contributor-roles/formal-analysis/">Formal analysis</role>
<role content-type="http://credit.niso.org/contributor-roles/methodology/">Methodology</role>
<role content-type="http://credit.niso.org/contributor-roles/writing-review-editing/">Writing – review &amp; editing</role>
<xref ref-type="aff" rid="aff001"><sup>1</sup></xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple">
<name name-style="western">
<surname>Bos</surname>
<given-names>Raphaëlle</given-names>
</name>
<role content-type="http://credit.niso.org/contributor-roles/data-curation/">Data curation</role>
<role content-type="http://credit.niso.org/contributor-roles/formal-analysis/">Formal analysis</role>
<role content-type="http://credit.niso.org/contributor-roles/writing-review-editing/">Writing – review &amp; editing</role>
<xref ref-type="aff" rid="aff003"><sup>3</sup></xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple">
<name name-style="western">
<surname>Olivier</surname>
<given-names>Sophie</given-names>
</name>
<role content-type="http://credit.niso.org/contributor-roles/data-curation/">Data curation</role>
<role content-type="http://credit.niso.org/contributor-roles/formal-analysis/">Formal analysis</role>
<role content-type="http://credit.niso.org/contributor-roles/writing-review-editing/">Writing – review &amp; editing</role>
<xref ref-type="aff" rid="aff003"><sup>3</sup></xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple">
<name name-style="western">
<surname>Cao-Lormeau</surname>
<given-names>Van-Mai</given-names>
</name>
<role content-type="http://credit.niso.org/contributor-roles/conceptualization/">Conceptualization</role>
<role content-type="http://credit.niso.org/contributor-roles/investigation/">Investigation</role>
<role content-type="http://credit.niso.org/contributor-roles/methodology/">Methodology</role>
<role content-type="http://credit.niso.org/contributor-roles/supervision/">Supervision</role>
<role content-type="http://credit.niso.org/contributor-roles/writing-original-draft/">Writing – original draft</role>
<xref ref-type="aff" rid="aff002"><sup>2</sup></xref>
</contrib>
</contrib-group>
<aff id="aff001"><label>1</label> <addr-line>Centre for Mathematical Modelling of Infectious Diseases, London School of Hygiene &amp; Tropical Medicine, London, United Kingdom</addr-line></aff>
<aff id="aff002"><label>2</label> <addr-line>Laboratory of Research on Emerging Viral Diseases, Institut Louis Malardé, Papeete, French Polynesia</addr-line></aff>
<aff id="aff003"><label>3</label> <addr-line>Clinical Laboratory, Institut Louis Malardé, Papeete, French Polynesia</addr-line></aff>
<author-notes>
<fn fn-type="conflict" id="coi001">
<p>The authors have declared that no competing interests exist.</p>
</fn>
<corresp id="cor001">* E-mail: <email xlink:type="simple">adam.kucharski@lshtm.ac.uk</email></corresp>
</author-notes>
<pub-date pub-type="epub">
<day>8</day>
<month>9</month>
<year>2023</year>
</pub-date>
<pub-date pub-type="collection">
<month>9</month>
<year>2023</year>
</pub-date>
<volume>20</volume>
<issue>9</issue>
<elocation-id>e1004283</elocation-id>
<history>
<date date-type="received">
<day>14</day>
<month>12</month>
<year>2022</year>
</date>
<date date-type="accepted">
<day>22</day>
<month>8</month>
<year>2023</year>
</date>
</history>
<permissions>
<copyright-year>2023</copyright-year>
<copyright-holder>Kucharski et al</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/" xlink:type="simple">
<license-p>This is an open access article distributed under the terms of the <ext-link ext-link-type="uri" xlink:href="http://creativecommons.org/licenses/by/4.0/" xlink:type="simple">Creative Commons Attribution License</ext-link>, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.</license-p>
</license>
</permissions>
<self-uri content-type="pdf" xlink:href="info:doi/10.1371/journal.pmed.1004283"/>
<abstract>
<sec id="sec001">
<title>Background</title>
<p>Effective Coronavirus Disease 2019 (COVID-19) response relies on good knowledge of population infection dynamics, but owing to under-ascertainment and delays in symptom-based reporting, obtaining reliable infection data has typically required large dedicated local population studies. Although many countries implemented Severe Acute Respiratory Syndrome Coronavirus 2 (SARS-CoV-2) testing among travellers, it remains unclear how accurately arrival testing data can capture international patterns of infection, because those arrival testing data were rarely reported systematically, and predeparture testing was often in place as well, leading to nonrepresentative infection status among arrivals.</p>
</sec>
<sec id="sec002">
<title>Methods and findings</title>
<p>In French Polynesia, testing data were reported systematically with enforced predeparture testing type and timing, making it possible to adjust for nonrepresentative infection status among arrivals. Combining statistical models of polymerase chain reaction (PCR) positivity with data on international travel protocols, we reconstructed estimates of prevalence at departure using only testing data from arrivals. We then applied this estimation approach to the United States of America and France, using data from over 220,000 tests from travellers arriving into French Polynesia between July 2020 and March 2022. We estimated a peak infection prevalence at departure of 2.1% (95% credible interval: 1.7, 2.6%) in France and 1% (95% CrI: 0.63, 1.4%) in the USA in late 2020/early 2021, with prevalence of 4.6% (95% CrI: 3.9, 5.2%) and 4.3% (95% CrI: 3.6, 5%), respectively, estimated for the Omicron BA.1 waves in early 2022. We found that our infection estimates were a leading indicator of later reported case dynamics, as well as being consistent with subsequent observed changes in seroprevalence over time. We did not have linked data on traveller demography or unbiased domestic infection estimates (e.g., from random community infection surveys) in the USA and France. However, our methodology would allow for the incorporation of prior data from additional sources if available in future.</p>
</sec>
<sec id="sec003">
<title>Conclusions</title>
<p>As well as elucidating previously unmeasured infection dynamics in these countries, our analysis provides a proof-of-concept for scalable and accurate leading indicator of global infections during future pandemics.</p>
</sec>
</abstract>
<abstract abstract-type="toc">
<p>Using travel testing data for SARS-CoV-2 infection obtained from international arrivals and departures, Adam J. Kucharski and colleagues estimate SARS-CoV-2 prevalence in multiple countries.</p>
</abstract>
<abstract abstract-type="summary">
<title>Author summary</title>
<sec id="sec004">
<title>Why was this study done?</title>
<p>• During the Coronavirus Disease 2019 (COVID-19) pandemic, the true dynamics of infections have been poorly understood globally.</p>
<p>• Although community infection surveys sampling individuals regardless of symptoms have provided crucial insights to inform policy in countries like the United Kingdom, expense and logistical challenges have prevented similar roll-out elsewhere.</p>
</sec>
<sec id="sec005">
<title>What did the researchers do and find?</title>
<p>• We identified an alternative source of routine information that can provide comparable insights on infection dynamics: Our analysis demonstrates that travel testing data among international arrivals can be used to reconstruct Severe Acute Respiratory Syndrome Coronavirus 2 (SARS-CoV-2) prevalence in multiple countries.</p>
<p>• Applying our method to more than 222,000 arrival tests conducted in French Polynesia between July 2020 and March 2022, we estimated a peak infection prevalence at departure of around 2% in France and 1% in the USA in late 2020/early 2021, with a median prevalence of around 5% and 4%, respectively, estimated for the Omicron BA.1 waves in early 2022.</p>
<p>• We found that our infection estimates were a leading indicator of the later observed case dynamics in these countries and were consistent with subsequent observed changes in seroprevalence over time in France and the USA.</p>
</sec>
<sec id="sec006">
<title>What do these findings mean?</title>
<p>• Our results suggest that systematic collection of traveller testing data can enable real-time estimation of underlying epidemic dynamics in multiple countries.</p>
<p>• In our study, personal data about travellers—such as age and address—was not available for analysis. In future, linking traveller tests to demographic characteristics most relevant to infection status could enable a more detailed understanding of risk.</p>
</sec>
</abstract>
<funding-group>
<award-group id="award001">
<funding-source>
<institution-wrap>
<institution-id institution-id-type="funder-id">http://dx.doi.org/10.13039/100010269</institution-id>
<institution>Wellcome Trust</institution>
</institution-wrap>
</funding-source>
<award-id>206250/Z/17/Z</award-id>
<principal-award-recipient>
<contrib-id authenticated="true" contrib-id-type="orcid">https://orcid.org/0000-0001-8814-9421</contrib-id>
<name name-style="western">
<surname>Kucharski</surname>
<given-names>Adam J.</given-names>
</name>
</principal-award-recipient>
</award-group>
<award-group id="award002">
<funding-source>
<institution-wrap>
<institution-id institution-id-type="funder-id">http://dx.doi.org/10.13039/100018336</institution-id>
<institution>National Institute for Health Research Health Protection Research Unit</institution>
</institution-wrap>
</funding-source>
<award-id>NIHR200908</award-id>
<principal-award-recipient>
<contrib-id authenticated="true" contrib-id-type="orcid">https://orcid.org/0000-0001-8814-9421</contrib-id>
<name name-style="western">
<surname>Kucharski</surname>
<given-names>Adam J.</given-names>
</name>
</principal-award-recipient>
</award-group>
<funding-statement>AJK was supported by a Sir Henry Dale Fellowship jointly funded by the Wellcome Trust and the Royal Society (grant Number 206250/Z/17/Z) and the NIHR HPRU in Modelling and Health Economics, a partnership between PHE, Imperial College London and LSHTM (grant code NIHR200908). The views expressed are those of the authors and not necessarily those of the United Kingdom (UK) Department of Health and Social Care, the National Health Service, the National Institute for Health Research (NIHR), or Public Health England (PHE). The funders had no role in study design, data collection and analysis, decision to publish, or preparation of the manuscript.</funding-statement>
</funding-group>
<counts>
<fig-count count="5"/>
<table-count count="0"/>
<page-count count="15"/>
</counts>
<custom-meta-group>
<custom-meta>
<meta-name>PLOS Publication Stage</meta-name>
<meta-value>vor-update-to-uncorrected-proof</meta-value>
</custom-meta>
<custom-meta>
<meta-name>Publication Update</meta-name>
<meta-value>2023-09-22</meta-value>
</custom-meta>
<custom-meta id="data-availability">
<meta-name>Data Availability</meta-name>
<meta-value>Model code and data are available at: <ext-link ext-link-type="uri" xlink:href="https://github.com/institutlouismalarde/covid-travel-testing" xlink:type="simple">https://github.com/institutlouismalarde/covid-travel-testing</ext-link>.</meta-value>
</custom-meta>
<custom-meta id="outbreaks">
<meta-name>Outbreaks</meta-name>
<meta-value>COVID-19</meta-value>
</custom-meta>
</custom-meta-group>
</article-meta>
</front>
<body>
<sec id="sec007" sec-type="intro">
<title>Introduction</title>
<p>Understanding the true extent of Severe Acute Respiratory Syndrome Coronavirus 2 (SARS-CoV-2) infection within a population is crucial for effective planning and response. As well as being a leading indicator of subsequent disease, it can help inform the timing and design of control measures both domestically and with respect to internal travel [<xref ref-type="bibr" rid="pmed.1004283.ref001">1</xref>]. However, throughout the pandemic, insights into underlying infection dynamics have typically been limited, hindering countries’ ability to respond promptly and proportionately.</p>
<p>In the early stages of 2020, large undetected epidemics in several locations were first identified as a result of infected travellers from these areas being detected in other countries [<xref ref-type="bibr" rid="pmed.1004283.ref002">2</xref>,<xref ref-type="bibr" rid="pmed.1004283.ref003">3</xref>]. Limited testing availability also meant that infection dynamics had to be estimated from lagged indicators such as hospitalisations, with the number of infections derived from available data on severity [<xref ref-type="bibr" rid="pmed.1004283.ref004">4</xref>]. Cross-sectional seroprevalence studies have since provided estimates of the extent of infection within populations, but with a lag and without information on when those infections occurred [<xref ref-type="bibr" rid="pmed.1004283.ref005">5</xref>]. Moreover, the roll-out of vaccination and emergence of novel variants means estimation of infection dynamics based on severe outcomes or serological data is becoming more challenging [<xref ref-type="bibr" rid="pmed.1004283.ref006">6</xref>]. In some instances, countries have tackled these issues by setting up routine community sampling regardless of symptoms, such as the ONS (Office for National Statistics) community infection survey and REACT-1 (Real-Time Assessment of Community Transmission) in the United Kingdom [<xref ref-type="bibr" rid="pmed.1004283.ref007">7</xref>,<xref ref-type="bibr" rid="pmed.1004283.ref008">8</xref>], as well as cohort studies tracking infection in specific workplaces, such as healthcare workers [<xref ref-type="bibr" rid="pmed.1004283.ref009">9</xref>]. However, the expense and logistical complexity of such studies have resulted in limited deployment globally.</p>
<p>Despite a lack of studies tracking local infection prevalence, large numbers have been tested regardless of symptoms during the pandemic as a result of traveller screening programmes [<xref ref-type="bibr" rid="pmed.1004283.ref010">10</xref>]. Countries have predominately used travel testing as a method of control, with positive individuals having to isolate, as well as being prevented from travelling at all if they test positive before departure. Algorithms have also been developed to predict individuals more likely to test at arrival based on demographic characteristics such as age and country of origin [<xref ref-type="bibr" rid="pmed.1004283.ref011">11</xref>], which can be useful for detecting infections, but less relevant if the objectives to obtain unbiased estimates of overall population prevalence.</p>
<p>Although some countries with strict restrictions on traveller numbers have reported the number of arriving infections detected over time [<xref ref-type="bibr" rid="pmed.1004283.ref012">12</xref>] and data have been reported from brief or small-scale testing programmes [<xref ref-type="bibr" rid="pmed.1004283.ref013">13</xref>–<xref ref-type="bibr" rid="pmed.1004283.ref015">15</xref>], there has been no systematic long-term data published from global travel testing. Tests have been conducted by different companies and agencies, and in combinations that can include both departure and arrival testing, typically without collation of these tests in consistent databases.</p>
<p>Despite the inconsistent way in which travel testing has generally been reported during the pandemic, such screening presents a unique opportunity for real-time surveillance of infection in multiple countries. Local community infection studies, or analysis of departure testing results, can only provide information on infections within the country conducting the study. In contrast, arrival testing can provide insights into infections among travellers from a range of different locations. However, there are challenges to interpreting arrival test results. If testing is implemented at both departure and arrival, then infections detected among arriving travellers only reflect a subset of all the infected individuals who attempted to travel.</p>
<p>Using data on how test positivity varies over the course of infection, and details of departure and arrival protocols, we developed a model of the travel screening process, and hence used arrival prevalence to reconstruct how many travellers would have tested positive in countries of departure. Incorporating data from French Polynesia, which had systematic arrival screening for SARS-CoV-2, we then test the potential to use local surveillance to recover underlying international infection dynamics.</p>
</sec>
<sec id="sec008" sec-type="materials|methods">
<title>Methods</title>
<sec id="sec009">
<title>Ethics statement</title>
<p>Communication of data from the surveillance system was approved by Comité d’Ethique de la Polynésie française (ref Avis n°90 CEPF 15_06_2021). Secondary data analysis was approved by the London School of Hygiene &amp; Tropical Medicine Observational Research Ethics Committee (ref 28129).</p>
</sec>
<sec id="sec010">
<title>Data</title>
<p>Travel testing in French Polynesia was conducted in 2 distinct phases, with some additional adjustments to protocols during each phase. The first phase, between 15th July 2020 and 30th April 2021, was the “COV-CHECK” system, with travellers required to perform a polymerase chain reaction (PCR) test less than 72 h before departure as well as a self-test 4 days after arrival in French Polynesia [<xref ref-type="bibr" rid="pmed.1004283.ref016">16</xref>]. Mandatory quarantine was added to this protocol on 20th February 2021. A schematic of the process is shown in <xref ref-type="fig" rid="pmed.1004283.g001">Fig 1A</xref>.</p>
<fig id="pmed.1004283.g001" position="float">
<object-id pub-id-type="doi">10.1371/journal.pmed.1004283.g001</object-id>
<label>Fig 1</label>
<caption>
<title>Impact of departure and arrival testing protocols on PCR prevalence.</title>
<p>(A) Possible outcomes for infected travellers in a scenario with predeparture and post-arrival testing. (B) Probability an individual will test PCR positive at different points since infection, based on self-tested asymptomatically tested participants [<xref ref-type="bibr" rid="pmed.1004283.ref018">18</xref>]. Line shows median, with shaded region showing 95% CrI in this Bayesian analysis. (C) Probability infected traveller will be detected by a predeparture test, in scenario where test conducted 2 days before departure (dashed line). (D) Probability infected traveller will be detected by a post-arrival test conducted 4 days after arrival (dashed line), assuming no local acquisition of infection. (E) Illustrative epidemic showing proportion of population newly infected per day with 2 different variants. (F) Larger measured prevalence in predeparture testing corresponding to incidence curves in (E), based on positivity probability in (C). (G) Measured prevalence in post-arrival testing, corresponding to incidence curves in (E), based on positivity probability in (D). Grey line shows cumulative prevalence. CrI; credible interval; PCR, polymerase chain reaction.</p>
</caption>
<graphic mimetype="image" position="float" xlink:href="info:doi/10.1371/journal.pmed.1004283.g001" xlink:type="simple"/>
</fig>
<p>The second phase started on 1st May 2021 with the option of taking either an antigen test within 48 h of departure or a PCR test within 72 h. Moreover, testing was performed on the day of arrival in French Polynesia [<xref ref-type="bibr" rid="pmed.1004283.ref017">17</xref>] by nurses until 12th August 2021, then using the self-test COV-CHECK protocol until 27th December 2021, and finally reverted to nurses until the end of the surveillance period. Unvaccinated individuals (mostly children) had additional self-tests on day 4 and day 8 until 19th January 2022, then on days 2 and 5. As these repeat tests did not systematically have accompanying dates in the dataset, and hence, it was not possible to identify which test was conducted on day 0, we omitted these repeated test results (7,809 of 112,945 total test results that had a recorded country of origin) from the analysis. After 28th December 2021, departing travellers could take either an antigen test within 24 h of travel or a PCR test within 72 h. Throughout the pandemic, all arrival PCR tests were screened for mutations associated with novel variants and subset were sequenced to identify the specific imported variants, with sequencing activity typically focused in the early stages of each wave to detect initial arriving infections.</p>
<p>To protect privacy, age, nationality, and address of tested passengers were not available for analysis. The origin of tested passengers was therefore defined based on the flight number. Between 15th July 2020 and 17th November 2021, passengers on flights from Paris, France had a direct transit (via Canada or Guadeloupe) so it was not possible to leave or join the plane in transit. Later, this transit was via the United States of America (Los Angeles), where it was possible to leave or join the plane mid-journey. Between July 2020 and March 2022, there were 464,728 incoming travellers: 229,744 tourists and 234,984 returning residents [<xref ref-type="bibr" rid="pmed.1004283.ref018">18</xref>]. We do not know whether passengers that took their plane in Paris or in Los Angeles came originally from another country, but because 90% of tourist arrivals in 2021 were reported as from these 2 original countries on arrival forms, we made the assumption that infected tourists or returning residents reflect infections acquired in the USA and France.</p>
<p>The primary public health aims of travelling testing in French Polynesia were 2-fold: (1) to limit virus dissemination (travellers found positive for SARS-CoV-2 were asked to self-isolate and were not allowed to travel to outer islands); and (2) to obtain early information on the introduction of new variants circulating in other countries and to be prepared for local circulation. The cost of traveller surveillance in French Polynesia was initially covered by the local government (until July 2021), then by the travellers themselves when registering on the (mandatory) travellers identification platform.</p>
</sec>
<sec id="sec011">
<title>Estimation of departure prevalence from arrival testing</title>
<p>If testing is implemented at both departure and arrival, then infections detected among arriving travellers only reflect a subset of all the infected individuals who attempted to travel (<xref ref-type="fig" rid="pmed.1004283.g001">Fig 1A</xref>). Analysis of repeated PCR self-testing in a healthcare worker cohort [<xref ref-type="bibr" rid="pmed.1004283.ref019">19</xref>] found that individuals can test positive for several weeks, with a peak in detection around 5 days post infection (<xref ref-type="fig" rid="pmed.1004283.g001">Fig 1B</xref>). Departure testing is therefore most likely to prevent the most detectable infections from travelling (<xref ref-type="fig" rid="pmed.1004283.g001">Fig 1C</xref>), which means if arrival testing is conducted shortly after arrival, the proportion of infections detected will be distributed differently to the departure tests (<xref ref-type="fig" rid="pmed.1004283.g001">Fig 1D</xref>). For a given incidence of new infections in a country of departure, measured prevalence among departing and arriving travellers could therefore be considerably different, with overall arrival prevalence masking underlying dynamics in countries of departure (<xref ref-type="fig" rid="pmed.1004283.g001">Fig 1E–1G</xref>).</p>
<p>We can estimate departure prevalence from arrival testing data as follows. If <italic>N</italic> individuals are tested at arrival, then the number who test positive is binomially distributed with probability q, where q = P(test positive at arrival | tested negative at departure) = P(arrival+ | departure–).</p>
<p>We can rewrite this probability in terms of arrival and departure tests:
<disp-formula id="pmed.1004283.e001">
<alternatives>
<graphic id="pmed.1004283.e001g" mimetype="image" position="anchor" xlink:href="info:doi/10.1371/journal.pmed.1004283.e001" xlink:type="simple"/>
<mml:math display="block" id="M1">
<mml:mrow><mml:mi mathvariant="normal">P</mml:mi><mml:mo>(</mml:mo><mml:mrow><mml:mi mathvariant="normal">a</mml:mi><mml:mi mathvariant="normal">r</mml:mi><mml:mi mathvariant="normal">r</mml:mi><mml:mi mathvariant="normal">i</mml:mi><mml:mi mathvariant="normal">v</mml:mi><mml:mi mathvariant="normal">a</mml:mi><mml:mi mathvariant="normal">l</mml:mi><mml:mo>+</mml:mo><mml:mo>|</mml:mo><mml:mi mathvariant="normal">d</mml:mi><mml:mi mathvariant="normal">e</mml:mi><mml:mi mathvariant="normal">p</mml:mi><mml:mi mathvariant="normal">a</mml:mi><mml:mi mathvariant="normal">r</mml:mi><mml:mi mathvariant="normal">t</mml:mi><mml:mi mathvariant="normal">u</mml:mi><mml:mi mathvariant="normal">r</mml:mi><mml:mi mathvariant="normal">e</mml:mi><mml:mo>–</mml:mo></mml:mrow><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:mi mathvariant="normal">P</mml:mi><mml:mo>(</mml:mo><mml:mrow><mml:mi mathvariant="normal">a</mml:mi><mml:mi mathvariant="normal">r</mml:mi><mml:mi mathvariant="normal">r</mml:mi><mml:mi mathvariant="normal">i</mml:mi><mml:mi mathvariant="normal">v</mml:mi><mml:mi mathvariant="normal">a</mml:mi><mml:mi mathvariant="normal">l</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">a</mml:mi><mml:mi mathvariant="normal">n</mml:mi><mml:mi mathvariant="normal">d</mml:mi><mml:mspace width="0.25em"/><mml:mi mathvariant="normal">d</mml:mi><mml:mi mathvariant="normal">e</mml:mi><mml:mi mathvariant="normal">p</mml:mi><mml:mi mathvariant="normal">a</mml:mi><mml:mi mathvariant="normal">r</mml:mi><mml:mi mathvariant="normal">t</mml:mi><mml:mi mathvariant="normal">u</mml:mi><mml:mi mathvariant="normal">r</mml:mi><mml:mi mathvariant="normal">e</mml:mi><mml:mo>–</mml:mo></mml:mrow><mml:mo>)</mml:mo><mml:mo>/</mml:mo><mml:mi mathvariant="normal">P</mml:mi><mml:mo>(</mml:mo><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mi mathvariant="normal">e</mml:mi><mml:mi mathvariant="normal">p</mml:mi><mml:mi mathvariant="normal">a</mml:mi><mml:mi mathvariant="normal">r</mml:mi><mml:mi mathvariant="normal">t</mml:mi><mml:mi mathvariant="normal">u</mml:mi><mml:mi mathvariant="normal">r</mml:mi><mml:mi mathvariant="normal">e</mml:mi><mml:mo>–</mml:mo></mml:mrow><mml:mo>)</mml:mo><mml:mo>.</mml:mo></mml:mrow>
</mml:math>
</alternatives>
</disp-formula></p>
<p>If w is the probability an individual is infected at departure (i.e., could in theory test positive), then:
<disp-formula id="pmed.1004283.e002">
<alternatives>
<graphic id="pmed.1004283.e002g" mimetype="image" position="anchor" xlink:href="info:doi/10.1371/journal.pmed.1004283.e002" xlink:type="simple"/>
<mml:math display="block" id="M2">
<mml:mrow><mml:mi mathvariant="normal">P</mml:mi><mml:mo>(</mml:mo><mml:mrow><mml:mi mathvariant="normal">a</mml:mi><mml:mi mathvariant="normal">r</mml:mi><mml:mi mathvariant="normal">r</mml:mi><mml:mi mathvariant="normal">i</mml:mi><mml:mi mathvariant="normal">v</mml:mi><mml:mi mathvariant="normal">a</mml:mi><mml:mi mathvariant="normal">l</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">a</mml:mi><mml:mi mathvariant="normal">n</mml:mi><mml:mi mathvariant="normal">d</mml:mi><mml:mspace width="0.25em"/><mml:mi mathvariant="normal">d</mml:mi><mml:mi mathvariant="normal">e</mml:mi><mml:mi mathvariant="normal">p</mml:mi><mml:mi mathvariant="normal">a</mml:mi><mml:mi mathvariant="normal">r</mml:mi><mml:mi mathvariant="normal">t</mml:mi><mml:mi mathvariant="normal">u</mml:mi><mml:mi mathvariant="normal">r</mml:mi><mml:mi mathvariant="normal">e</mml:mi><mml:mo>–</mml:mo></mml:mrow><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:mi mathvariant="normal">w</mml:mi><mml:mspace width="0.25em"/><mml:mi mathvariant="normal">P</mml:mi><mml:mo>(</mml:mo><mml:mrow><mml:mi mathvariant="normal">a</mml:mi><mml:mi mathvariant="normal">r</mml:mi><mml:mi mathvariant="normal">r</mml:mi><mml:mi mathvariant="normal">i</mml:mi><mml:mi mathvariant="normal">v</mml:mi><mml:mi mathvariant="normal">a</mml:mi><mml:mi mathvariant="normal">l</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">a</mml:mi><mml:mi mathvariant="normal">n</mml:mi><mml:mi mathvariant="normal">d</mml:mi><mml:mspace width="0.25em"/><mml:mi mathvariant="normal">d</mml:mi><mml:mi mathvariant="normal">e</mml:mi><mml:mi mathvariant="normal">p</mml:mi><mml:mi mathvariant="normal">a</mml:mi><mml:mi mathvariant="normal">r</mml:mi><mml:mi mathvariant="normal">t</mml:mi><mml:mi mathvariant="normal">u</mml:mi><mml:mi mathvariant="normal">r</mml:mi><mml:mi mathvariant="normal">e</mml:mi><mml:mo>–</mml:mo><mml:mo>|</mml:mo><mml:mspace width="0.25em"/><mml:mi mathvariant="normal">i</mml:mi><mml:mi mathvariant="normal">n</mml:mi><mml:mi mathvariant="normal">f</mml:mi><mml:mi mathvariant="normal">e</mml:mi><mml:mi mathvariant="normal">c</mml:mi><mml:mi mathvariant="normal">t</mml:mi><mml:mi mathvariant="normal">e</mml:mi><mml:mi mathvariant="normal">d</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow>
</mml:math>
</alternatives>
</disp-formula>
<disp-formula id="pmed.1004283.e003">
<alternatives>
<graphic id="pmed.1004283.e003g" mimetype="image" position="anchor" xlink:href="info:doi/10.1371/journal.pmed.1004283.e003" xlink:type="simple"/>
<mml:math display="block" id="M3">
<mml:mrow><mml:mi mathvariant="normal">P</mml:mi><mml:mo>(</mml:mo><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mi mathvariant="normal">e</mml:mi><mml:mi mathvariant="normal">p</mml:mi><mml:mi mathvariant="normal">a</mml:mi><mml:mi mathvariant="normal">r</mml:mi><mml:mi mathvariant="normal">t</mml:mi><mml:mi mathvariant="normal">u</mml:mi><mml:mi mathvariant="normal">r</mml:mi><mml:mi mathvariant="normal">e</mml:mi><mml:mo>–</mml:mo></mml:mrow><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:mi mathvariant="normal">w</mml:mi><mml:mspace width="0.25em"/><mml:mi mathvariant="normal">P</mml:mi><mml:mo>(</mml:mo><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mi mathvariant="normal">e</mml:mi><mml:mi mathvariant="normal">p</mml:mi><mml:mi mathvariant="normal">a</mml:mi><mml:mi mathvariant="normal">r</mml:mi><mml:mi mathvariant="normal">t</mml:mi><mml:mi mathvariant="normal">u</mml:mi><mml:mi mathvariant="normal">r</mml:mi><mml:mi mathvariant="normal">e</mml:mi><mml:mo>–</mml:mo><mml:mo>|</mml:mo><mml:mspace width="0.25em"/><mml:mi mathvariant="normal">i</mml:mi><mml:mi mathvariant="normal">n</mml:mi><mml:mi mathvariant="normal">f</mml:mi><mml:mi mathvariant="normal">e</mml:mi><mml:mi mathvariant="normal">c</mml:mi><mml:mi mathvariant="normal">t</mml:mi><mml:mi mathvariant="normal">e</mml:mi><mml:mi mathvariant="normal">d</mml:mi></mml:mrow><mml:mo>)</mml:mo><mml:mo>+</mml:mo><mml:mo>(</mml:mo><mml:mrow><mml:mn>1</mml:mn><mml:mo>–</mml:mo><mml:mi mathvariant="normal">w</mml:mi></mml:mrow><mml:mo>)</mml:mo><mml:mo>.</mml:mo></mml:mrow>
</mml:math>
</alternatives>
</disp-formula></p>
<p>Details of how these probabilities can be calculated are provided in <xref ref-type="supplementary-material" rid="pmed.1004283.s001">S1 Text</xref>.</p>
<p>Combining the above probabilities gives the following expression for the probability an individual tests positive at arrival:
<disp-formula id="pmed.1004283.e004">
<alternatives>
<graphic id="pmed.1004283.e004g" mimetype="image" position="anchor" xlink:href="info:doi/10.1371/journal.pmed.1004283.e004" xlink:type="simple"/>
<mml:math display="block" id="M4">
<mml:mi>q</mml:mi><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:mi mathvariant="normal">w</mml:mi><mml:mspace width="0.25em"/><mml:mi mathvariant="normal">P</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="normal">a</mml:mi><mml:mi mathvariant="normal">r</mml:mi><mml:mi mathvariant="normal">r</mml:mi><mml:mi mathvariant="normal">i</mml:mi><mml:mi mathvariant="normal">v</mml:mi><mml:mi mathvariant="normal">a</mml:mi><mml:mi mathvariant="normal">l</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">a</mml:mi><mml:mi mathvariant="normal">n</mml:mi><mml:mi mathvariant="normal">d</mml:mi><mml:mspace width="0.25em"/><mml:mi mathvariant="normal">d</mml:mi><mml:mi mathvariant="normal">e</mml:mi><mml:mi mathvariant="normal">p</mml:mi><mml:mi mathvariant="normal">a</mml:mi><mml:mi mathvariant="normal">r</mml:mi><mml:mi mathvariant="normal">t</mml:mi><mml:mi mathvariant="normal">u</mml:mi><mml:mi mathvariant="normal">r</mml:mi><mml:mi mathvariant="normal">e</mml:mi><mml:mo>–</mml:mo><mml:mo>|</mml:mo><mml:mspace width="0.25em"/><mml:mi mathvariant="normal">i</mml:mi><mml:mi mathvariant="normal">n</mml:mi><mml:mi mathvariant="normal">f</mml:mi><mml:mi mathvariant="normal">e</mml:mi><mml:mi mathvariant="normal">c</mml:mi><mml:mi mathvariant="normal">t</mml:mi><mml:mi mathvariant="normal">e</mml:mi><mml:mi mathvariant="normal">d</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mrow><mml:mi mathvariant="normal">w</mml:mi><mml:mspace width="0.25em"/><mml:mi mathvariant="normal">P</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="normal">d</mml:mi><mml:mi mathvariant="normal">e</mml:mi><mml:mi mathvariant="normal">p</mml:mi><mml:mi mathvariant="normal">a</mml:mi><mml:mi mathvariant="normal">r</mml:mi><mml:mi mathvariant="normal">t</mml:mi><mml:mi mathvariant="normal">u</mml:mi><mml:mi mathvariant="normal">r</mml:mi><mml:mi mathvariant="normal">e</mml:mi><mml:mo>–</mml:mo><mml:mo>|</mml:mo><mml:mspace width="0.25em"/><mml:mi mathvariant="normal">i</mml:mi><mml:mi mathvariant="normal">n</mml:mi><mml:mi mathvariant="normal">f</mml:mi><mml:mi mathvariant="normal">e</mml:mi><mml:mi mathvariant="normal">c</mml:mi><mml:mi mathvariant="normal">t</mml:mi><mml:mi mathvariant="normal">e</mml:mi><mml:mi mathvariant="normal">d</mml:mi><mml:mo>)</mml:mo><mml:mo>+</mml:mo><mml:mo>(</mml:mo><mml:mn>1</mml:mn><mml:mo>–</mml:mo><mml:mi mathvariant="normal">w</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mfrac><mml:mo>.</mml:mo>
</mml:math>
</alternatives>
</disp-formula></p>
<p>If we have observations on the number tested at arrival, and the number tested, we can therefore estimate the distribution of w, and hence, prevalence at departure (full details in <xref ref-type="supplementary-material" rid="pmed.1004283.s001">S1 Text</xref>). Model code and data are available at: <ext-link ext-link-type="uri" xlink:href="https://github.com/institutlouismalarde/covid-travel-testing" xlink:type="simple">https://github.com/institutlouismalarde/covid-travel-testing</ext-link>.</p>
</sec>
<sec id="sec012">
<title>Pooling test model</title>
<p>For a pool of size <italic>n</italic>, the probability that there is at least 1 positive in the pool given true prevalence <italic>x</italic> is equal to p = 1-(1–<italic>x)</italic><sup><italic>n</italic></sup>. For <italic>N</italic> pools, the likelihood of x is therefore given by the binomial distribution B(N,p). For each scenario, we calculated the maximum likelihood estimate for x and corresponding confidence interval generated from the profile likelihood.</p>
</sec>
</sec>
<sec id="sec013" sec-type="results">
<title>Results</title>
<p>The effectiveness of traveller screening based on biological outcomes, such as symptoms or test positivity, will depend on how long ago travellers were infected. In turn, this will depend on the dynamics of the epidemic in countries of departure [<xref ref-type="bibr" rid="pmed.1004283.ref020">20</xref>]. During a growing epidemic, individuals are more likely to have been infected recently, whereas infections will generally be older in a declining epidemic. In situations where test positivity is influenced by the phase of the epidemic, it is often necessary to reconstruct infection dynamics using computationally intensive latent processes models [<xref ref-type="bibr" rid="pmed.1004283.ref021">21</xref>]. However, we found that the presence of departure testing changes the distribution of infection timings among arrivals, as the individuals most likely to be detectable are least likely to travel (<xref ref-type="fig" rid="pmed.1004283.g002">Fig 2A–2C</xref>). As a result, most arriving infections will have been infected within a narrower window that those detected at departure. This reduced the impact of epidemic phase on arrival positivity and allowed for reconstruction of departure prevalence from arrival data with a single multiplier calculated from PCR positivity curves and the specific departure and arrival testing protocol. Our approach could therefore generate accurate estimates for simulated departure prevalence dynamics, particularly if there was a gap of several days between the departure and arrival test, which reduced the variance of the time-since-infection for arrivals (<xref ref-type="fig" rid="pmed.1004283.g002">Fig 2D–2F</xref>). In a sensitivity analysis, we found that estimates were more reliable with larger sample sizes and less biased when the testing process was accurately quantified, with correct assumptions about delay between tests and test sensitivity (<xref ref-type="supplementary-material" rid="pmed.1004283.s002">S1 Fig</xref>).</p>
<fig id="pmed.1004283.g002" position="float">
<object-id pub-id-type="doi">10.1371/journal.pmed.1004283.g002</object-id>
<label>Fig 2</label>
<caption>
<title>Observation and estimation of infection prevalence under different epidemic dynamics.</title>
<p>(A) Proportion of infected travellers detected relative to infection time, in a scenario with incidence declining 10% per day, and testing 2 days before departure, with 1 day in transit, and 4 days after arrival (dashed lines). Light green, travellers detected predeparture; dark green, travellers detected post-arrival; red, travellers missed. (B) Scenario in a stable epidemic, i.e., 0% daily change in incidence. (C) Scenario in epidemic with 10% daily growth. (D) Reconstruction of simulated epidemics from arrival testing data, assuming 5,000 arrivals tested per week. Solid points, “true” prevalence at departure with lines showing 95% binomial confidence interval; squares, measured prevalence at arrival in simulated scenario with a test 2 days before departure with 1 day in transit and another test 4 days post-arrival, with circles showing reconstructed departure prevalence from these data. (E, F) Reconstruction as described in (D) under different assumed epidemic dynamics.</p>
</caption>
<graphic mimetype="image" position="float" xlink:href="info:doi/10.1371/journal.pmed.1004283.g002" xlink:type="simple"/>
</fig>
<p>To show how this approach can be used mid-pandemic, we analysed traveller data collected as part of the Coronavirus Disease 2019 (COVID-19) response in French Polynesia [<xref ref-type="bibr" rid="pmed.1004283.ref016">16</xref>]. Between July 2020 and March 2022, more than 222,000 traveller tests were conducted as part of an arrival screening programme (<xref ref-type="fig" rid="pmed.1004283.g003">Fig 3A</xref>). During the first phase of the surveillance strategy, travellers performed a self-test (COV-CHECK protocol) 4 days after arrival as well as a PCR test within 72 h of departure. Faced with novel variants, mandatory quarantine was added to the protocol in February 2021. Between May 2021 and March 2022, testing was performed on the day of arrival first by nurses until 12th August 2021, then using the self-test COV-CHECK protocol until 27th December 2021, and again by nurses until the end of the surveillance period. During 2021, the option was also added for an antigen test within 48 h of departure rather than a PCR test within 72 h.</p>
<fig id="pmed.1004283.g003" position="float">
<object-id pub-id-type="doi">10.1371/journal.pmed.1004283.g003</object-id>
<label>Fig 3</label>
<caption>
<title>Arrival testing in French Polynesia, July 2020 to March 2022.</title>
<p>(A) Testing data and changes in main protocols over time. Initially travellers were tested 4 days post-arrival (d4), with additional quarantine introduced on 20th February 2021; later vaccinated travellers were tested on day of arrival (d0), with additional testing on day 4 and 8 for non-vaccinated individuals. Black line, number of tests performed; orange line, number of positive tests. (B) Percent of tests that were positive over time, with lines showing binomial confidence interval and blue line showing GAM fit with shaded 95% CI. (C) Local COVID-19 cases reported in French Polynesia, with arrows showing first detection of different variants among travellers. (D) Distribution of Ct values among positive arrivals into French Polynesia (orange bars) and routinely tested UK HCWs (cyan bars). (E) Estimated percent of infections that would be detected early on (i.e., within 5 or 10 days of infection) under different travel testing protocols using PCR and antigen tests in a growing epidemic. (F) Estimated percent of infections detected in a declining epidemic. COVID-19, Coronavirus Disease 2019; Ct, cycle threshold; GAM, generalised additive model; HCW, healthcare worker; PCR, polymerase chain reaction.</p>
</caption>
<graphic mimetype="image" position="float" xlink:href="info:doi/10.1371/journal.pmed.1004283.g003" xlink:type="simple"/>
</fig>
<p>There were 1,341 positive arrival tests in the dataset analysed, with considerable variation in weekly prevalence over the course of the pandemic (<xref ref-type="fig" rid="pmed.1004283.g003">Fig 3B</xref>). There were 3 main COVID-19 waves in French Polynesia—caused by wild type, Delta and Omicron—with Alpha detected among travellers without leading to widespread local transmission (<xref ref-type="fig" rid="pmed.1004283.g003">Fig 3C</xref>). Among arriving travellers, 15% of measured cycle threshold (Ct) values were below 20 (<xref ref-type="fig" rid="pmed.1004283.g003">Fig 3D</xref>), with a distribution that was lower than has previously been observed in self-testing of healthcare workers [<xref ref-type="bibr" rid="pmed.1004283.ref019">19</xref>]. This is to be expected given travellers will typically be earlier in their infection at the point of the arrival test, as noted above (<xref ref-type="fig" rid="pmed.1004283.g002">Fig 2</xref>). Such a pattern is also consistent with previous reports of shedding being higher than usual among positive arriving travellers [<xref ref-type="bibr" rid="pmed.1004283.ref022">22</xref>]. Based on protocols implemented, we estimated that arrival PCR testing at day 4 would have been expected to detect around 60% of infected individuals within the first 10 days of their infection if an epidemic in the departure location was growing at 10% per day (<xref ref-type="fig" rid="pmed.1004283.g003">Fig 3E</xref>), and around 40% during an epidemic that was declining 10% per day (<xref ref-type="fig" rid="pmed.1004283.g003">Fig 3F</xref>). This illustrates the value of delayed arrival testing for detecting infections during rising SARS-CoV-2 transmission, as well as for reconstructing departure prevalence. However, given the percentages undetected, travel testing and quarantine would still need to be combined with other measures, such as a reduction in traveller numbers or domestic control measures, to prevent sustained transmission. In reality, the proportion of infections detected would be binomially distributed, and hence also subject to randomness, as well as from any uncertainty in the test sensitivity at departure and arrival.</p>
<p>The majority of tested arrivals into French Polynesia had either the USA or metropolitan France (with a few hours transit via the USA or Canada or Guadeloupe) as the origin for their trip (<xref ref-type="fig" rid="pmed.1004283.g004">Fig 4A and 4B</xref>). This was consistent with reported residency data on immigration forms, with 90% of tourist arrivals in 2021 from these 2 countries [<xref ref-type="bibr" rid="pmed.1004283.ref018">18</xref>]. We found that estimate prevalence at departure among travellers from the USA or France (<xref ref-type="fig" rid="pmed.1004283.g004">Fig 4C and 4D</xref>), based on French Polynesia arrival tests, anticipated observed case dynamics in the 2 countries (<xref ref-type="fig" rid="pmed.1004283.g004">Fig 4E and 4F</xref>), showing the value of traveller testing as a leading indicator. Peaks in prevalence occurred shortly before peaks in reported cases, as would be expected due to delays in symptom onset, symptomatic testing, and reporting in the country of origin. Adjusting for traveller testing protocols as outlined in <xref ref-type="fig" rid="pmed.1004283.g001">Fig 1</xref>, we estimated a peak infection prevalence at departure of 2.1% (95% credible interval (CrI): 1.7, 2.6%) in France and 1% (95% CrI: 0.63, 1.4%) in the USA in late 2020/early 2021, with prevalence of 4.6% (95% CrI: 3.9, 5.2%) and 4.3% (95% CrI: 3.6, 5%), respectively, estimated for the Omicron BA.1 waves in early 2022.</p>
<fig id="pmed.1004283.g004" position="float">
<object-id pub-id-type="doi">10.1371/journal.pmed.1004283.g004</object-id>
<label>Fig 4</label>
<caption>
<title>Reconstruction of infection dynamics in France and USA from arrival testing data in French Polynesia.</title>
<p>(A) Number of arrivals from France tested per week. Orange, tests performed at day 4 after arrival; yellow, tests performed at day of arrival. (B) Arrival testing from USA. (C) Estimated prevalence among arrivals from France, with maximum a posteriori estimate shown by black dots with lines showing Bayesian 95% high posterior density interval; blue line and shaded region, GAM fit to these data and 95% prediction interval. (D) Estimated prevalence among arrivals from the USA. (E) Domestic cases reported in France. (F) Domestic cases in USA, shown by black line, alongside SARS-CoV-2 concentration in wastewater [<xref ref-type="bibr" rid="pmed.1004283.ref027">27</xref>], shown by orange line. (G) Comparison of estimated cumulative infections and observed seroprevalence in France. Black dots, observed national seroprevalence in France in October 2020 and February 2021 [<xref ref-type="bibr" rid="pmed.1004283.ref028">28</xref>]; black triangle, observed national seroprevalence in November 2020 [<xref ref-type="bibr" rid="pmed.1004283.ref029">29</xref>]; black square, estimated proportion infected by January 2021 [<xref ref-type="bibr" rid="pmed.1004283.ref030">30</xref>]; blue line, cumulative incidence derived from blue line in (E), shifted to match initial value of black line; shaded region, bootstrap 95% prediction interval; grey line, cumulative per capita domestic cases reported. (H) Estimated cumulative infections and observed seroprevalence in USA. Black dots and lines, observed seroprevalence over time with 95% confidence interval [<xref ref-type="bibr" rid="pmed.1004283.ref005">5</xref>]; red lines, estimated cumulative incidence over same periods, shifted to match initial values. GAM, generalised additive model; SARS-CoV-2, Severe Acute Respiratory Syndrome Coronavirus 2.</p>
</caption>
<graphic mimetype="image" position="float" xlink:href="info:doi/10.1371/journal.pmed.1004283.g004" xlink:type="simple"/>
</fig>
<p>To further assess the ability of arrival screening to estimate international SARS-CoV-2 dynamics, we converted prevalence at departure (i.e., current positivity) into an estimate of incidence (i.e., new daily infections) and compared cumulative incidence over the same period as repeated serological surveys in France and the USA. In France, our estimate of cumulative incidence in late 2020 was slightly larger than implied in serological studies (<xref ref-type="fig" rid="pmed.1004283.g004">Fig 4G</xref>). There are several potential explanations for this discordance. The volume of travel from France declined substantially during that wave, which may have affected representativeness of travellers, as risk-averse individuals could have been less likely to travel, and risk-taking individuals more likely to be infected in transit. As testing was conducted on day 4 during this period and there was a COVID-19 wave in French Polynesia in late 2020, there is also the possibility of infection post-arrival. In contrast, we found that our estimates for the USA closely matched increases in seroprevalence during epidemic waves in both late 2020 and late 2021 (<xref ref-type="fig" rid="pmed.1004283.g004">Fig 4H</xref>).</p>
<p>Because systematic individual-level testing is resource intensive, we also explored the potential for pooled testing to generate estimates of prevalence at arrival. For example, travellers from a given airport of origin could submit a swab via a pooled collection system, with testing returning either a positive or negative result for each pool. We estimated that for a sample of 100 incoming travellers, there was considerable uncertainty in prevalence estimates when larger pool sizes were used (<xref ref-type="fig" rid="pmed.1004283.g005">Fig 5A</xref>). However, this uncertainty was reduced for larger traveller volumes (<xref ref-type="fig" rid="pmed.1004283.g005">Fig 5B</xref>). Surveillance design (e.g., pool size and whether aggregated daily or weekly) could therefore be tailored to ensure that prevalence estimates for a given pathogen provide the desired level of precision and/or required degree of confidence that prevalence is below a certain value (<xref ref-type="fig" rid="pmed.1004283.g005">Fig 5C and 5D</xref>).</p>
<fig id="pmed.1004283.g005" position="float">
<object-id pub-id-type="doi">10.1371/journal.pmed.1004283.g005</object-id>
<label>Fig 5</label>
<caption>
<title>Estimation of prevalence based on pooled testing.</title>
<p>(A) Scenario where 100 passengers are tested, either in pools of size 5 or 20, with the proportion of positive pools used to estimate prevalence. Dots show mean estimate, with 95% confidence interval shown by lines. Dashed line shows equivalent calculation with individual-level testing (i.e., pool of size 1). (B) Scenario where 500 passengers are tested. (C, D) close-up of the boxed region in (A) and (B), focusing on the estimation range covering the prevalence values observed for SARS-CoV-2 in <xref ref-type="fig" rid="pmed.1004283.g004">Fig 4</xref>. SARS-CoV-2, Severe Acute Respiratory Syndrome Coronavirus 2.</p>
</caption>
<graphic mimetype="image" position="float" xlink:href="info:doi/10.1371/journal.pmed.1004283.g005" xlink:type="simple"/>
</fig>
</sec>
<sec id="sec014" sec-type="conclusions">
<title>Discussion</title>
<p>Our analysis shows that it is possible to obtain detailed international epidemiological insights from arrival testing protocols that were designed predominantly as control measure to reduce risk of onwards local transmission. As a proof-of-concept, we reconstructed epidemic dynamics in France and the United States using arrival data from French Polynesia between July 2020 and March 2022.</p>
<p>Raw observed infection prevalence at arrival in French Polynesia was consistent with broad ranges observed in other, smaller-scale studies. Among arrivals into Alaska from June to November 2020, 0.8% were positive [<xref ref-type="bibr" rid="pmed.1004283.ref013">13</xref>]. Infection prevalence at arrival was 1.0% in Toronto, Canada during September and October 2020 [<xref ref-type="bibr" rid="pmed.1004283.ref015">15</xref>] and 1.5% in Alberta, Canada in November 2020 [<xref ref-type="bibr" rid="pmed.1004283.ref014">14</xref>]. However, travellers in these studies did not have their country of origin reported, or information on departure testing protocol, limiting the ability of these datasets to provide comparable information on likely prevalence in countries of departure. Our estimates of peak prevalence in France and the USA were also similar in magnitude to PCR test positivity in the ONS community infection survey in the UK, which peaked at around 2% during the Alpha wave in early 2021 and around 7% during the BA.1 wave in late 2021/early 2022 [<xref ref-type="bibr" rid="pmed.1004283.ref007">7</xref>].</p>
<p>A key strength of our analysis is that it uses data from a systematic testing programme with known protocols and countries of departure. Despite the relatively small travel volume into French Polynesia, our real-time estimates of cumulative incidence in France and the USA reflected subsequent changes in national seroprevalence observed in these locations. In contrast, commonly cited international COVID-19 indicators such as cases or hospitalisations are strongly dependent on symptom severity and domestic access to testing, as well as being delayed outcomes relative to infection incidence. Although symptomatic individuals may have avoided travel, test positivity also tends to peak around the time of symptom onset [<xref ref-type="bibr" rid="pmed.1004283.ref023">23</xref>], and hence, these individuals would have been detected at departure had they travelled, a process that is already accounted for in the analysis presented here.</p>
<p>In French Polynesia, further data linkage was limited to protect traveller privacy, meaning it was not possible to explore how factors such as age or occupation influenced prevalence. Although our estimates reflected national-level patterns of seroprevalence in the USA and France, the age distribution of travellers may be different to the age distribution of the population at departure, particularly if there are additional constraints on unvaccinated individuals such as children travelling, as occurred from mid-2021 until early 2022. Moreover, travellers may be from wealthier or less-risk averse groups, who may have a different exposure risk to the wider population. Demographic insights could be expanded in future epidemics by routinely reporting data on epidemiologically relevant values such as age and occupation, which would allow adjustment for potential biases when estimating prevalence in countries of departure. Linkage with test results at departure would also enable validation of assumptions about PCR sensitivity at each stage of travel.</p>
<p>There are some additional limitations to our proof-of-concept analysis. The testing protocols in French Polynesia enabled estimation of departure prevalence using a binomial distribution, with little bias from epidemic phase (<xref ref-type="fig" rid="pmed.1004283.g002">Fig 2E–2G</xref>). In the absence of departure testing, such methods would no longer be reliable, and arrival testing would need to be analysed in the context of changing epidemic dynamics, requiring more complex inference methods that also model the underlying epidemic process [<xref ref-type="bibr" rid="pmed.1004283.ref021">21</xref>]. We also assume that PCR positivity over time for the wild-type variant is representative of subsequent variants, based on similarities observed in cohort studies [<xref ref-type="bibr" rid="pmed.1004283.ref023">23</xref>,<xref ref-type="bibr" rid="pmed.1004283.ref024">24</xref>]. If positivity were to vary substantially, then this would need to be accounted for with different adjustments based on dominant variants in countries of departure. If viral shedding profiles were very different by variant, similar adjustments would also need to be made when inferring infection dynamics from other data sources, such as community infection surveys or wastewater data.</p>
<p>During the initial phase of COVID-19 pandemic, testing among departing and arriving travellers provided valuable indications of the true extent of infection [<xref ref-type="bibr" rid="pmed.1004283.ref003">3</xref>], which were in turn used to estimate crucial metrics such as infection fatality risk [<xref ref-type="bibr" rid="pmed.1004283.ref025">25</xref>]. Understanding levels of community infection has been challenging both when infections are rising, with the epidemic outstripping symptomatic surveillance capacity, as well as in the later stages of the COVID-19 pandemic, with countries rolling back test availability for symptomatic cases. In the UK, studies such as REACT-1 and ONS have provided continuity in local understanding of community infections, but such data streams have been extremely rare globally, given their expense and logistical complexity. However, our analysis shows that routine traveller testing can enable similar insights at an international scale, using protocols that were already being implemented in many countries, offering a substantial improvement on common situational awareness based on reported cases, hospitalisations, or deaths [<xref ref-type="bibr" rid="pmed.1004283.ref004">4</xref>]. Such estimates could also be triangulated against other potential leading indicators, including viral concentrations in wastewater, although interpretation of wastewater data would rely on additional analysis to convert into a comparable measure of the proportion of the population who are currently infected. In turn, these measurements of infection dynamics could be used in estimation of situation awareness metrics such as the reproduction number, as well as estimation of population-level epidemic dynamics for scenario models, where knowledge of the extent of infection can substantially improve statistical inference [<xref ref-type="bibr" rid="pmed.1004283.ref026">26</xref>].</p>
<p>Our study provides a proof-of-concept for ongoing COVID-19 management and future pandemic planning, showing that systematic collection of testing data with minimal linkage can enable real-time estimation of underlying epidemic dynamics in multiple countries. Moreover, deployment of such methods in multiple locations—such as key global travel hubs—would allow for synthesis of prevalence estimation across datasets, narrowing uncertainty, and greatly expanding the network of countries covered.</p>
</sec>
<sec id="sec015" sec-type="supplementary-material">
<title>Supporting information</title>
<supplementary-material id="pmed.1004283.s001" mimetype="application/vnd.openxmlformats-officedocument.wordprocessingml.document" position="float" xlink:href="info:doi/10.1371/journal.pmed.1004283.s001" xlink:type="simple">
<label>S1 Text</label>
<caption>
<title>Supplementary methods.</title>
<p>(DOCX)</p>
</caption>
</supplementary-material>
<supplementary-material id="pmed.1004283.s002" mimetype="image/tiff" position="float" xlink:href="info:doi/10.1371/journal.pmed.1004283.s002" xlink:type="simple">
<label>S1 Fig</label>
<caption>
<title>Sensitivity of estimation to difference sample sizes and testing assumptions.</title>
<p>(A) Reconstruction of simulated epidemics from arrival testing data, assuming 100 arrivals tested per week. Solid points, “true” prevalence at departure with lines showing 95% binomial confidence interval; squares, measured prevalence at arrival in simulated scenario with a test 2 days before departure with 1 day in transit and another test 4 days post-arrival (i.e., 2d + 4d), with circles showing reconstructed departure prevalence from these data. (B) Same as (A), but with 5,000 arrivals tested per week. (C) Same as (A), but with 20,000 arrivals tested per week. (D) Reconstruction of simulated epidemics from arrival testing data when test timing is mis-specified (shown in green). In the simulation, there is a test 2 days before departure with 1 day in transit and another test on day of arrival. However, inference is performed with a test 2 days before departure with 1 day in transit and another test 4 days post-arrival. (E) Same as (D), but with 5,000 tested per week. (F) Same as (D), but with 20,000 tested per week. (G) Reconstruction of simulated epidemics from arrival testing data when test sensitivity is mis-specified (shown in purple). Simulated tests have peak sensitivity equal to 80% of the peak in our baseline analysis, with inference performed under assumption sensitivity is unchanged. Otherwise, the scenario is same as in (A). (H) Same as (G), but with 5,000 tested per week. (I) Same as (G), but with 20,000 tested per week.</p>
<p>(TIFF)</p>
</caption>
</supplementary-material>
<supplementary-material id="pmed.1004283.s003" mimetype="image/tiff" position="float" xlink:href="info:doi/10.1371/journal.pmed.1004283.s003" xlink:type="simple">
<label>S2 Fig</label>
<caption>
<title>Reconstruction of infection dynamics in France and USA from arrival testing data in French Polynesia (FP), assuming antigen tests at departure after May 2021.</title>
<p>Panels otherwise as described in main text (<xref ref-type="fig" rid="pmed.1004283.g004">Fig 4</xref>).</p>
<p>(TIFF)</p>
</caption>
</supplementary-material>
<supplementary-material id="pmed.1004283.s004" mimetype="image/tiff" position="float" xlink:href="info:doi/10.1371/journal.pmed.1004283.s004" xlink:type="simple">
<label>S3 Fig</label>
<caption>
<title>Reconstruction of cumulative incidence under different estimated methods.</title>
<p>(A) Simulated daily incidence. (B) Simulated daily prevalence based on the convolution of incidence in (A) and median probability of PCR positivity in <xref ref-type="fig" rid="pmed.1004283.g001">Fig 1B</xref>. (C) Reconstruction of incidence from prevalence in (B) using our baseline scaling approximation (red line) as well as deconvolution using the Moore–Penrose generalized inverse (blue line, showing numerical instability at end of time series). (D) Comparison of simulated cumulative incidence (black dots), with estimated cumulative incidence using our baseline scaling approximation (red line) as well as deconvolution using the Moore–Penrose generalized inverse (blue line).</p>
<p>(TIFF)</p>
</caption>
</supplementary-material>
</sec>
</body>
<back>
<glossary>
<title>Abbreviations</title>
<def-list>
<def-item><term>COVID-19</term>
<def><p>Coronavirus Disease 2019</p></def>
</def-item>
<def-item><term>CrI</term>
<def><p>credible interval</p></def>
</def-item>
<def-item><term>ONS</term>
<def><p>Office for National Statistics</p></def>
</def-item>
<def-item><term>PCR</term>
<def><p>polymerase chain reaction</p></def>
</def-item>
<def-item><term>REACT-1</term>
<def><p>Real-Time Assessment of Community Transmission</p></def>
</def-item>
<def-item><term>SARS-CoV-2</term>
<def><p>Severe Acute Respiratory Syndrome Coronavirus 2</p></def>
</def-item>
</def-list>
</glossary>
<ref-list>
<title>References</title>
<ref id="pmed.1004283.ref001"><label>1</label><mixed-citation publication-type="journal" xlink:type="simple"><name name-style="western"><surname>Koelle</surname> <given-names>K</given-names></name>, <name name-style="western"><surname>Martin</surname> <given-names>MA</given-names></name>, <name name-style="western"><surname>Antia</surname> <given-names>R</given-names></name>, <name name-style="western"><surname>Lopman</surname> <given-names>B</given-names></name>, <name name-style="western"><surname>Dean</surname> <given-names>NE</given-names></name>. <article-title>The changing epidemiology of SARS-CoV-2</article-title>. <source>Science</source>. <year>2022</year> <month>Mar</month> <day>11</day>;<volume>375</volume>(<issue>6585</issue>):<fpage>1116</fpage>–<lpage>21</lpage>. <comment>doi: <ext-link ext-link-type="uri" xlink:href="https://doi.org/10.1126/science.abm4915" xlink:type="simple">10.1126/science.abm4915</ext-link></comment> <object-id pub-id-type="pmid">35271324</object-id></mixed-citation></ref>
<ref id="pmed.1004283.ref002"><label>2</label><mixed-citation publication-type="journal" xlink:type="simple"><name name-style="western"><surname>Tuite</surname> <given-names>AR</given-names></name>, <name name-style="western"><surname>Bogoch</surname> <given-names>II</given-names></name>, <name name-style="western"><surname>Sherbo</surname> <given-names>R</given-names></name>, <name name-style="western"><surname>Watts</surname> <given-names>A</given-names></name>, <name name-style="western"><surname>Fisman</surname> <given-names>D</given-names></name>, <name name-style="western"><surname>Khan</surname> <given-names>K</given-names></name>. <article-title>Estimation of Coronavirus Disease 2019 (COVID-19) Burden and Potential for International Dissemination of Infection From Iran.</article-title> <source>Ann Intern Med</source>. <year>2020</year> <month>May</month> <day>19</day>;<volume>172</volume>(<issue>10</issue>):<fpage>699</fpage>–<lpage>701</lpage>. <comment>doi: <ext-link ext-link-type="uri" xlink:href="https://doi.org/10.7326/M20-0696" xlink:type="simple">10.7326/M20-0696</ext-link></comment> <object-id pub-id-type="pmid">32176272</object-id></mixed-citation></ref>
<ref id="pmed.1004283.ref003"><label>3</label><mixed-citation publication-type="journal" xlink:type="simple"><name name-style="western"><surname>Imai</surname> <given-names>N</given-names></name>, <name name-style="western"><surname>Dorigatti</surname> <given-names>I</given-names></name>, <name name-style="western"><surname>Cori</surname> <given-names>A</given-names></name>, <name name-style="western"><surname>Donnelly</surname> <given-names>C</given-names></name>, <name name-style="western"><surname>Riley</surname> <given-names>S</given-names></name>, <name name-style="western"><surname>Ferguson</surname> <given-names>NM</given-names></name>. <article-title>Report 2: Estimating the potential total number of novel Coronavirus cases in Wuhan City, China.</article-title> <year>2020</year>;<volume>6</volume>.</mixed-citation></ref>
<ref id="pmed.1004283.ref004"><label>4</label><mixed-citation publication-type="journal" xlink:type="simple"><name name-style="western"><surname>Jit</surname> <given-names>M</given-names></name>, <name name-style="western"><surname>Jombart</surname> <given-names>T</given-names></name>, <name name-style="western"><surname>Nightingale</surname> <given-names>ES</given-names></name>, <name name-style="western"><surname>Endo</surname> <given-names>A</given-names></name>, <name name-style="western"><surname>Abbott</surname> <given-names>S</given-names></name>, <collab>LSHTM Centre for Mathematical Modelling of Infectious Diseases COVID-19 Working Group</collab>, <etal>et al</etal>. <article-title>Estimating number of cases and spread of coronavirus disease (COVID-19) using critical care admissions, United Kingdom, February to.</article-title> <source>Eurosurveillance.</source> <month>March</month> <year>2020</year>:<fpage>2020</fpage>.</mixed-citation></ref>
<ref id="pmed.1004283.ref005"><label>5</label><mixed-citation publication-type="journal" xlink:type="simple"><source>CDC Nationwide COVID-19 Infection-Induced Antibody Seroprevalence (Commercial laboratories).</source> <year>2022</year>. Available from: <ext-link ext-link-type="uri" xlink:href="https://covid.cdc.gov/covid-data-tracker/#national-lab" xlink:type="simple">https://covid.cdc.gov/covid-data-tracker/#national-lab</ext-link>. Accessed: 1 May 2023.</mixed-citation></ref>
<ref id="pmed.1004283.ref006"><label>6</label><mixed-citation publication-type="journal" xlink:type="simple"><name name-style="western"><surname>Chapman</surname> <given-names>LAC</given-names></name>, <name name-style="western"><surname>Barnard</surname> <given-names>RC</given-names></name>, <name name-style="western"><surname>Russell</surname> <given-names>TW</given-names></name>, <name name-style="western"><surname>Abbott</surname> <given-names>S</given-names></name>, <name name-style="western"><surname>van Zandvoort</surname> <given-names>K</given-names></name>, <name name-style="western"><surname>Davies</surname> <given-names>NG</given-names></name>, <etal>et al</etal>. <article-title>Unexposed populations and potential COVID-19 hospitalisations and deaths in European countries as per data up to 21 November 2021.</article-title> <source>Eur Secur.</source> <year>2022</year> <month>Jan</month> <day>6</day>;<volume>27</volume>(<issue>1</issue>):<fpage>2101038</fpage>. <comment>doi: <ext-link ext-link-type="uri" xlink:href="https://doi.org/10.2807/1560-7917.ES.2022.27.1.2101038" xlink:type="simple">10.2807/1560-7917.ES.2022.27.1.2101038</ext-link></comment> <object-id pub-id-type="pmid">34991776</object-id></mixed-citation></ref>
<ref id="pmed.1004283.ref007"><label>7</label><mixed-citation publication-type="journal" xlink:type="simple"><collab>Office for National Statistics</collab>. <source>Coronavirus (COVID-19) Infection Survey</source> (<year>2022</year>). Available from: <ext-link ext-link-type="uri" xlink:href="https://www.ons.gov.uk/peoplepopulationandcommunity/healthandsocialcare/conditionsanddiseases/bulletins/coronaviruscovid19infectionsurveypilot/previousReleases" xlink:type="simple">https://www.ons.gov.uk/peoplepopulationandcommunity/healthandsocialcare/conditionsanddiseases/bulletins/coronaviruscovid19infectionsurveypilot/previousReleases</ext-link>. Accessed: 1 Dec 2022.</mixed-citation></ref>
<ref id="pmed.1004283.ref008"><label>8</label><mixed-citation publication-type="journal" xlink:type="simple"><name name-style="western"><surname>Riley</surname> <given-names>S</given-names></name>, <name name-style="western"><surname>Ainslie</surname> <given-names>KEC</given-names></name>, <name name-style="western"><surname>Eales</surname> <given-names>O</given-names></name>, <name name-style="western"><surname>Walters</surname> <given-names>CE</given-names></name>, <name name-style="western"><surname>Wang</surname> <given-names>H</given-names></name>, <name name-style="western"><surname>Atchison</surname> <given-names>C</given-names></name>, <etal>et al</etal>. <article-title>Resurgence of SARS-CoV-2: Detection by community viral surveillance</article-title>. <source>Science</source>. <year>2021</year> <month>May</month> <day>28</day>;<volume>372</volume>(<issue>6545</issue>):<fpage>990</fpage>–<lpage>5</lpage>. <comment>doi: <ext-link ext-link-type="uri" xlink:href="https://doi.org/10.1126/science.abf0874" xlink:type="simple">10.1126/science.abf0874</ext-link></comment> <object-id pub-id-type="pmid">33893241</object-id></mixed-citation></ref>
<ref id="pmed.1004283.ref009"><label>9</label><mixed-citation publication-type="journal" xlink:type="simple"><name name-style="western"><surname>Hall</surname> <given-names>VJ</given-names></name>, <name name-style="western"><surname>Foulkes</surname> <given-names>S</given-names></name>, <name name-style="western"><surname>Charlett</surname> <given-names>A</given-names></name>, <name name-style="western"><surname>Atti</surname> <given-names>A</given-names></name>, <name name-style="western"><surname>Monk</surname> <given-names>EJM</given-names></name>, <name name-style="western"><surname>Simmons</surname> <given-names>R</given-names></name>, <etal>et al</etal>. <article-title>SARS-CoV-2 infection rates of antibody-positive compared with antibody-negative health-care workers in England: a large, multicentre, prospective cohort study (SIREN).</article-title> <source>Lancet</source>. <year>2021</year> <month>Apr</month> <day>17</day>;<volume>397</volume>(<issue>10283</issue>):<fpage>1459</fpage>–<lpage>69</lpage>. <comment>doi: <ext-link ext-link-type="uri" xlink:href="https://doi.org/10.1016/S0140-6736%2821%2900675-9" xlink:type="simple">10.1016/S0140-6736(21)00675-9</ext-link></comment> <object-id pub-id-type="pmid">33844963</object-id></mixed-citation></ref>
<ref id="pmed.1004283.ref010"><label>10</label><mixed-citation publication-type="journal" xlink:type="simple"><name name-style="western"><surname>Ritchie</surname> <given-names>H.</given-names></name> <article-title>Coronavirus Pandemic (COVID-19).</article-title> <source>Our World Data</source>. <year>2020</year>.</mixed-citation></ref>
<ref id="pmed.1004283.ref011"><label>11</label><mixed-citation publication-type="journal" xlink:type="simple"><name name-style="western"><surname>Bastani</surname> <given-names>H</given-names></name>, <name name-style="western"><surname>Drakopoulos</surname> <given-names>K</given-names></name>, <name name-style="western"><surname>Gupta</surname> <given-names>V</given-names></name>, <name name-style="western"><surname>Vlachogiannis</surname> <given-names>I</given-names></name>, <name name-style="western"><surname>Hadjichristodoulou</surname> <given-names>C</given-names></name>, <name name-style="western"><surname>Lagiou</surname> <given-names>P</given-names></name>, <etal>et al</etal>. <article-title>Efficient and targeted COVID-19 border testing via reinforcement learning</article-title>. <source>Nature</source>. <year>2021</year> <month>Nov</month> <day>4</day>;<volume>599</volume>(<issue>7883</issue>):<fpage>108</fpage>–<lpage>13</lpage>. <comment>doi: <ext-link ext-link-type="uri" xlink:href="https://doi.org/10.1038/s41586-021-04014-z" xlink:type="simple">10.1038/s41586-021-04014-z</ext-link></comment> <object-id pub-id-type="pmid">34551425</object-id></mixed-citation></ref>
<ref id="pmed.1004283.ref012"><label>12</label><mixed-citation publication-type="journal" xlink:type="simple"><name name-style="western"><surname>Grout</surname> <given-names>L</given-names></name>, <name name-style="western"><surname>Katar</surname> <given-names>A</given-names></name>, <name name-style="western"><surname>Ait Ouakrim</surname> <given-names>D</given-names></name>, <name name-style="western"><surname>Summers</surname> <given-names>JA</given-names></name>, <name name-style="western"><surname>Kvalsvig</surname> <given-names>A</given-names></name>, <name name-style="western"><surname>Baker</surname> <given-names>MG</given-names></name>, <etal>et al</etal>. <article-title>Failures of quarantine systems for preventing COVID-19 outbreaks in Australia and New Zealand.</article-title> <source>Med J Aust.</source> <year>2021</year> <month>Oct</month> <day>4</day>;<volume>215</volume>(<issue>7</issue>):<fpage>320</fpage>–<lpage>4</lpage>. <comment>doi: <ext-link ext-link-type="uri" xlink:href="https://doi.org/10.5694/mja2.51240" xlink:type="simple">10.5694/mja2.51240</ext-link></comment> <object-id pub-id-type="pmid">34472122</object-id></mixed-citation></ref>
<ref id="pmed.1004283.ref013"><label>13</label><mixed-citation publication-type="journal" xlink:type="simple"><name name-style="western"><surname>Ohlsen</surname> <given-names>EC</given-names></name>, <name name-style="western"><surname>Porter</surname> <given-names>KA</given-names></name>, <name name-style="western"><surname>Mooring</surname> <given-names>E</given-names></name>, <name name-style="western"><surname>Cutchins</surname> <given-names>C</given-names></name>, <name name-style="western"><surname>Zink</surname> <given-names>A</given-names></name>, <name name-style="western"><surname>McLaughlin</surname> <given-names>J</given-names></name>. <article-title>Airport Traveler Testing Program for SARS-CoV-2—Alaska, June–November 2020.</article-title> <source>MMWR Morb Mortal Wkly Rep</source>. <year>2021</year> <month>Apr</month> <day>23</day>;<volume>70</volume>(<issue>16</issue>):<fpage>583</fpage>–<lpage>8</lpage>. <comment>doi: <ext-link ext-link-type="uri" xlink:href="https://doi.org/10.15585/mmwr.mm7016a2" xlink:type="simple">10.15585/mmwr.mm7016a2</ext-link></comment> <object-id pub-id-type="pmid">33886533</object-id></mixed-citation></ref>
<ref id="pmed.1004283.ref014"><label>14</label><mixed-citation publication-type="journal" xlink:type="simple"><name name-style="western"><surname>Lunney</surname> <given-names>M</given-names></name>, <name name-style="western"><surname>Ronksley</surname> <given-names>PE</given-names></name>, <name name-style="western"><surname>Weaver</surname> <given-names>RG</given-names></name>, <name name-style="western"><surname>Barnieh</surname> <given-names>L</given-names></name>, <name name-style="western"><surname>Blue</surname> <given-names>N</given-names></name>, <name name-style="western"><surname>Avey</surname> <given-names>MT</given-names></name>, <etal>et al</etal>. <article-title>COVID-19 infection among international travellers: a prospective analysis</article-title>. <source>BMJ Open</source>. <year>2021</year> <month>Jun</month>;<volume>11</volume>(<issue>6</issue>):<fpage>e050667</fpage>. <comment>doi: <ext-link ext-link-type="uri" xlink:href="https://doi.org/10.1136/bmjopen-2021-050667" xlink:type="simple">10.1136/bmjopen-2021-050667</ext-link></comment> <object-id pub-id-type="pmid">34168036</object-id></mixed-citation></ref>
<ref id="pmed.1004283.ref015"><label>15</label><mixed-citation publication-type="journal" xlink:type="simple"><name name-style="western"><surname>Goel</surname> <given-names>V</given-names></name>, <name name-style="western"><surname>Bulir</surname> <given-names>D</given-names></name>, <name name-style="western"><surname>De Prophetis</surname> <given-names>E</given-names></name>, <name name-style="western"><surname>Jamil</surname> <given-names>M</given-names></name>, <name name-style="western"><surname>Rosella</surname> <given-names>LC</given-names></name>, <name name-style="western"><surname>Mertz</surname> <given-names>D</given-names></name>, <etal>et al</etal>. <article-title>COVID-19 international border surveillance at Toronto’s Pearson Airport: a cohort study</article-title>. <source>BMJ Open</source>. <year>2021</year> <month>Jul</month>;<volume>11</volume>(<issue>7</issue>):<fpage>e050714</fpage>. <comment>doi: <ext-link ext-link-type="uri" xlink:href="https://doi.org/10.1136/bmjopen-2021-050714" xlink:type="simple">10.1136/bmjopen-2021-050714</ext-link></comment> <object-id pub-id-type="pmid">34210736</object-id></mixed-citation></ref>
<ref id="pmed.1004283.ref016"><label>16</label><mixed-citation publication-type="journal" xlink:type="simple"><name name-style="western"><surname>Aubry</surname> <given-names>M</given-names></name>, <name name-style="western"><surname>Teiti</surname> <given-names>I</given-names></name>, <name name-style="western"><surname>Teissier</surname> <given-names>A</given-names></name>, <name name-style="western"><surname>Richard</surname> <given-names>V</given-names></name>, <name name-style="western"><surname>Mariteragi-Helle</surname> <given-names>T</given-names></name>, <name name-style="western"><surname>Chung</surname> <given-names>K</given-names></name>, <etal>et al</etal>. <article-title>Self-collection and pooling of samples as resources-saving strategies for RT-PCR-based SARS-CoV-2 surveillance, the example of travelers in French Polynesia.</article-title> <source>PLoS ONE.</source> <year>2021</year> <month>Sep</month> <day>2</day>;<volume>16</volume>(<issue>9</issue>):<fpage>e0256877</fpage>. <comment>doi: <ext-link ext-link-type="uri" xlink:href="https://doi.org/10.1371/journal.pone.0256877" xlink:type="simple">10.1371/journal.pone.0256877</ext-link></comment> <object-id pub-id-type="pmid">34473769</object-id></mixed-citation></ref>
<ref id="pmed.1004283.ref017"><label>17</label><mixed-citation publication-type="journal" xlink:type="simple"><name name-style="western"><surname>Aubry</surname> <given-names>M</given-names></name>, <name name-style="western"><surname>Cao-Lormeau</surname> <given-names>VM</given-names></name>. <article-title>Perspective on the Use of Innovative Surveillance Strategies Implemented for COVID-19 to Prevent Mosquito-Borne Disease Emergence in French Polynesia.</article-title> <source>Viruses</source>. <year>2022</year>;<volume>14</volume>(<issue>3</issue>):<fpage>460</fpage>. <comment>doi: <ext-link ext-link-type="uri" xlink:href="https://doi.org/10.3390/v14030460" xlink:type="simple">10.3390/v14030460</ext-link></comment> <object-id pub-id-type="pmid">35336867</object-id></mixed-citation></ref>
<ref id="pmed.1004283.ref018"><label>18</label><mixed-citation publication-type="other" xlink:type="simple">Institut de la statistique de la Polynésie française. Available from: <ext-link ext-link-type="uri" xlink:href="https://data.ispf.pf/themes/SystemeProductif/Tourisme/Details.aspx" xlink:type="simple">https://data.ispf.pf/themes/SystemeProductif/Tourisme/Details.aspx</ext-link>. Accessed: 1 May 2023.</mixed-citation></ref>
<ref id="pmed.1004283.ref019"><label>19</label><mixed-citation publication-type="journal" xlink:type="simple"><name name-style="western"><surname>Hellewell</surname> <given-names>J</given-names></name>, <name name-style="western"><surname>Russell</surname> <given-names>TW</given-names></name>, <collab>The SAFER Investigators and Field Study Team, The Crick COVID-19 Consortium, CMMID COVID-19 working group</collab>, <name name-style="western"><surname>Beale</surname> <given-names>R</given-names></name>, <etal>et al</etal>. <article-title>Estimating the effectiveness of routine asymptomatic PCR testing at different frequencies for the detection of SARS-CoV-2 infections.</article-title> <source>BMC Med</source>. <year>2021</year> <month>Dec</month>;<volume>19</volume>(<issue>1</issue>):<fpage>106</fpage>. <comment>doi: <ext-link ext-link-type="uri" xlink:href="https://doi.org/10.1186/s12916-021-01982-x" xlink:type="simple">10.1186/s12916-021-01982-x</ext-link></comment> <object-id pub-id-type="pmid">33902581</object-id></mixed-citation></ref>
<ref id="pmed.1004283.ref020"><label>20</label><mixed-citation publication-type="journal" xlink:type="simple"><name name-style="western"><surname>Gostic</surname> <given-names>KM</given-names></name>, <name name-style="western"><surname>Kucharski</surname> <given-names>AJ</given-names></name>, <name name-style="western"><surname>Lloyd-Smith</surname> <given-names>JO</given-names></name>. <article-title>Effectiveness of traveller screening for emerging pathogens is shaped by epidemiology and natural history of infection</article-title>. <source>elife</source>. <year>2015</year> <month>Feb</month> <day>19</day>;<volume>4</volume>:<fpage>e05564</fpage>. <comment>doi: <ext-link ext-link-type="uri" xlink:href="https://doi.org/10.7554/eLife.05564" xlink:type="simple">10.7554/eLife.05564</ext-link></comment> <object-id pub-id-type="pmid">25695520</object-id></mixed-citation></ref>
<ref id="pmed.1004283.ref021"><label>21</label><mixed-citation publication-type="journal" xlink:type="simple"><name name-style="western"><surname>Abbott</surname> <given-names>S</given-names></name>, <name name-style="western"><surname>Funk</surname> <given-names>S</given-names></name>. <article-title>Estimating epidemiological quantities from repeated cross-sectional prevalence measurements.</article-title> <source>MedRxiv</source>. <year>2022</year>.</mixed-citation></ref>
<ref id="pmed.1004283.ref022"><label>22</label><mixed-citation publication-type="journal" xlink:type="simple"><name name-style="western"><surname>Molero-Salinas</surname> <given-names>A</given-names></name>, <name name-style="western"><surname>Rico-Luna</surname> <given-names>C</given-names></name>, <name name-style="western"><surname>Losada</surname> <given-names>C</given-names></name>, <name name-style="western"><surname>Buenestado-Serrano</surname> <given-names>S</given-names></name>, de la Cueva García VM, Egido J, <etal>et al</etal>. <article-title>High SARS-CoV-2 viral load in travellers arriving in Spain with a negative COVID-19 test prior to departure.</article-title> <source>J Travel Med.</source> <year>2022</year> <month>May</month> <day>31</day>;<volume>29</volume>(<issue>3</issue>):<fpage>taab180</fpage>. <comment>doi: <ext-link ext-link-type="uri" xlink:href="https://doi.org/10.1093/jtm/taab180" xlink:type="simple">10.1093/jtm/taab180</ext-link></comment> <object-id pub-id-type="pmid">34791355</object-id></mixed-citation></ref>
<ref id="pmed.1004283.ref023"><label>23</label><mixed-citation publication-type="journal" xlink:type="simple"><name name-style="western"><surname>Hay</surname> <given-names>JA</given-names></name>, <name name-style="western"><surname>Kissler</surname> <given-names>SM</given-names></name>, <name name-style="western"><surname>Fauver</surname> <given-names>JR</given-names></name>, <name name-style="western"><surname>Mack</surname> <given-names>C</given-names></name>, <name name-style="western"><surname>Tai</surname> <given-names>CG</given-names></name>, <name name-style="western"><surname>Samant</surname> <given-names>RM</given-names></name>, <etal>et al</etal>. <article-title>Quantifying the impact of immune history and variant on SARS-CoV-2 viral kinetics and infection rebound: A retrospective cohort study.</article-title> <source>elife.</source> <year>2022</year> <month>Nov</month> <day>16</day>;<volume>11</volume>:<fpage>e81849</fpage>. <comment>doi: <ext-link ext-link-type="uri" xlink:href="https://doi.org/10.7554/eLife.81849" xlink:type="simple">10.7554/eLife.81849</ext-link></comment> <object-id pub-id-type="pmid">36383192</object-id></mixed-citation></ref>
<ref id="pmed.1004283.ref024"><label>24</label><mixed-citation publication-type="journal" xlink:type="simple"><name name-style="western"><surname>Bouton</surname> <given-names>TC</given-names></name>, <name name-style="western"><surname>Atarere</surname> <given-names>J</given-names></name>, <name name-style="western"><surname>Turcinovic</surname> <given-names>J</given-names></name>, <name name-style="western"><surname>Seitz</surname> <given-names>S</given-names></name>, <name name-style="western"><surname>Sher-Jan</surname> <given-names>C</given-names></name>, <name name-style="western"><surname>Gilbert</surname> <given-names>M</given-names></name>, <etal>et al</etal>. <article-title>Viral dynamics of Omicron and Delta SARS-CoV-2 variants with implications for timing of release from isolation: a longitudinal cohort study.</article-title> <source>MedRxiv</source>. <year>2022</year>. <comment>doi: <ext-link ext-link-type="uri" xlink:href="https://doi.org/10.1101/2022.04.04.22273429" xlink:type="simple">10.1101/2022.04.04.22273429</ext-link></comment> <object-id pub-id-type="pmid">35411341</object-id></mixed-citation></ref>
<ref id="pmed.1004283.ref025"><label>25</label><mixed-citation publication-type="journal" xlink:type="simple"><name name-style="western"><surname>Verity</surname> <given-names>R</given-names></name>, <name name-style="western"><surname>Okell</surname> <given-names>LC</given-names></name>, <name name-style="western"><surname>Dorigatti</surname> <given-names>I</given-names></name>, <name name-style="western"><surname>Winskill</surname> <given-names>P</given-names></name>, <name name-style="western"><surname>Whittaker</surname> <given-names>C</given-names></name>, <name name-style="western"><surname>Imai</surname> <given-names>N</given-names></name>, <etal>et al</etal>. <article-title>Estimates of the severity of coronavirus disease 2019: a model-based analysis</article-title>. <source>Lancet Infect Dis</source>. <year>2020</year> <month>Jun</month>;<volume>20</volume>(<issue>6</issue>):<fpage>669</fpage>–<lpage>77</lpage>. <comment>doi: <ext-link ext-link-type="uri" xlink:href="https://doi.org/10.1016/S1473-3099%2820%2930243-7" xlink:type="simple">10.1016/S1473-3099(20)30243-7</ext-link></comment> <object-id pub-id-type="pmid">32240634</object-id></mixed-citation></ref>
<ref id="pmed.1004283.ref026"><label>26</label><mixed-citation publication-type="journal" xlink:type="simple"><name name-style="western"><surname>Barnard</surname> <given-names>RC</given-names></name>, <name name-style="western"><surname>Davies</surname> <given-names>NG</given-names></name>, <collab>Centre for Mathematical Modelling of Infectious Diseases COVID-19 working group</collab>, <name name-style="western"><surname>Munday</surname> <given-names>JD</given-names></name>, <name name-style="western"><surname>Lowe</surname> <given-names>R</given-names></name>, <name name-style="western"><surname>Knight</surname> <given-names>GM</given-names></name>, <etal>et al</etal>. <article-title>Modelling the medium-term dynamics of SARS-CoV-2 transmission in England in the Omicron era.</article-title> <source>Nat Commun.</source> <year>2022</year> <month>Aug</month> <day>19</day>;<volume>13</volume>(<issue>1</issue>):<fpage>4879</fpage>. <comment>doi: <ext-link ext-link-type="uri" xlink:href="https://doi.org/10.1038/s41467-022-32404-y" xlink:type="simple">10.1038/s41467-022-32404-y</ext-link></comment> <object-id pub-id-type="pmid">35986002</object-id></mixed-citation></ref>
<ref id="pmed.1004283.ref027"><label>27</label><mixed-citation publication-type="journal" xlink:type="simple"><name name-style="western"><surname>Duvallet</surname> <given-names>C</given-names></name>, <name name-style="western"><surname>Wu</surname> <given-names>F</given-names></name>, <name name-style="western"><surname>McElroy</surname> <given-names>KA</given-names></name>, <name name-style="western"><surname>Imakaev</surname> <given-names>M</given-names></name>, <name name-style="western"><surname>Endo</surname> <given-names>N</given-names></name>, <name name-style="western"><surname>Xiao</surname> <given-names>A</given-names></name>, <etal>et al</etal>. <article-title>Nationwide Trends in COVID-19 Cases and SARS-CoV-2 RNA Wastewater Concentrations in the United States.</article-title> <source>ACS ES&amp;T Water</source>. <year>2022</year>;<volume>2</volume>(<issue>11</issue>):<fpage>1899</fpage>–<lpage>1909</lpage>. <comment>doi: <ext-link ext-link-type="uri" xlink:href="https://doi.org/10.1021/acsestwater.1c00434" xlink:type="simple">10.1021/acsestwater.1c00434</ext-link></comment> <object-id pub-id-type="pmid">36380771</object-id></mixed-citation></ref>
<ref id="pmed.1004283.ref028"><label>28</label><mixed-citation publication-type="journal" xlink:type="simple"><collab>Santé Publique France</collab>. <source>COVID-19: études pour suivre la part de la population infectée par le SARS-CoV-2 en France</source> (<year>2021</year>). Available from: <ext-link ext-link-type="uri" xlink:href="https://www.santepubliquefrance.fr/etudes-et-enquetes/covid-19-etudes-pour-suivre-" xlink:type="simple">https://www.santepubliquefrance.fr/etudes-et-enquetes/covid-19-etudes-pour-suivre-</ext-link> la-part-de-la-population-infectee-par-le-sars-cov-2-en-france. Accessed: 18 August 2022.</mixed-citation></ref>
<ref id="pmed.1004283.ref029"><label>29</label><mixed-citation publication-type="journal" xlink:type="simple"><collab>DREES</collab>. <article-title>4% de la population a développé des anticorps contre le SARS-CoV-2 entre mai et novembre 2020.</article-title> <source>Études et Résultats.</source> <year>2021</year>.</mixed-citation></ref>
<ref id="pmed.1004283.ref030"><label>30</label><mixed-citation publication-type="journal" xlink:type="simple"><name name-style="western"><surname>Gallian</surname> <given-names>P</given-names></name>, <name name-style="western"><surname>Hozé</surname> <given-names>N</given-names></name>, <name name-style="western"><surname>Brisbarre</surname> <given-names>N</given-names></name>, <name name-style="western"><surname>Saba Villarroel</surname> <given-names>PM</given-names></name>, <name name-style="western"><surname>Nurtop</surname> <given-names>E</given-names></name>, <name name-style="western"><surname>Isnard</surname> <given-names>C</given-names></name>, <etal>et al</etal>. <article-title>SARS-CoV-2 IgG seroprevalence surveys in blood donors before the vaccination campaign, France 2020–2021.</article-title> <source>MedRxiv.</source> <year>2022</year>.</mixed-citation></ref>
</ref-list>
</back>
<sub-article article-type="editor-report" id="pmed.1004283.r001" specific-use="decision-letter">
<front-stub>
<article-id pub-id-type="doi">10.1371/journal.pmed.1004283.r001</article-id>
<title-group>
<article-title>Decision Letter 0</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name name-style="western">
<surname>Dodd</surname>
<given-names>Philippa C.</given-names>
</name>
<role>Senior Editor</role>
</contrib>
</contrib-group>
<permissions>
<copyright-year>2023</copyright-year>
<copyright-holder>Philippa C. Dodd</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<license-p>This is an open access article distributed under the terms of the <ext-link ext-link-type="uri" xlink:href="http://creativecommons.org/licenses/by/4.0/" xlink:type="simple">Creative Commons Attribution License</ext-link>, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.</license-p>
</license>
</permissions>
<related-object document-id="10.1371/journal.pmed.1004283" document-id-type="doi" document-type="article" id="rel-obj001" link-type="peer-reviewed-article"/>
<custom-meta-group>
<custom-meta>
<meta-name>Submission Version</meta-name>
<meta-value>0</meta-value>
</custom-meta>
</custom-meta-group>
</front-stub>
<body>
<p>
<named-content content-type="letter-date">9 Jan 2023</named-content>
</p>
<p>Dear Dr Kucharski, </p>
<p>Thank you for submitting your manuscript entitled "Real-time surveillance of international SARS-CoV-2 prevalence using systematic traveller arrival screening" for consideration by PLOS Medicine.</p>
<p>Your manuscript has now been evaluated by the PLOS Medicine editorial staff as well as by an academic editor with relevant expertise and I am writing to let you know that we would like to send your submission out for external peer review.</p>
<p>However, before we can send your manuscript to reviewers, we need you to complete your submission by providing the metadata that is required for full assessment. To this end, please login to Editorial Manager where you will find the paper in the 'Submissions Needing Revisions' folder on your homepage. Please click 'Revise Submission' from the Action Links and complete all additional questions in the submission questionnaire.</p>
<p>Please re-submit your manuscript within two working days, i.e. by Jan 11 2023 11:59PM.</p>
<p>Login to Editorial Manager here: <ext-link ext-link-type="uri" xlink:href="https://www.editorialmanager.com/pmedicine" xlink:type="simple">https://www.editorialmanager.com/pmedicine</ext-link></p>
<p>Once your full submission is complete, your paper will undergo a series of checks in preparation for peer review. Once your manuscript has passed all checks it will be sent out for review. </p>
<p>Feel free to email us at <email xlink:type="simple">plosmedicine@plos.org</email> if you have any queries relating to your submission.</p>
<p>Kind regards,</p>
<p>Philippa Dodd, MBBS MRCP PhD</p>
<p>PLOS Medicine</p>
</body>
</sub-article>
<sub-article article-type="aggregated-review-documents" id="pmed.1004283.r002" specific-use="decision-letter">
<front-stub>
<article-id pub-id-type="doi">10.1371/journal.pmed.1004283.r002</article-id>
<title-group>
<article-title>Decision Letter 1</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name name-style="western">
<surname>Dodd</surname>
<given-names>Philippa C.</given-names>
</name>
<role>Senior Editor</role>
</contrib>
</contrib-group>
<permissions>
<copyright-year>2023</copyright-year>
<copyright-holder>Philippa C. Dodd</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<license-p>This is an open access article distributed under the terms of the <ext-link ext-link-type="uri" xlink:href="http://creativecommons.org/licenses/by/4.0/" xlink:type="simple">Creative Commons Attribution License</ext-link>, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.</license-p>
</license>
</permissions>
<related-object document-id="10.1371/journal.pmed.1004283" document-id-type="doi" document-type="article" id="rel-obj002" link-type="peer-reviewed-article"/>
<custom-meta-group>
<custom-meta>
<meta-name>Submission Version</meta-name>
<meta-value>1</meta-value>
</custom-meta>
</custom-meta-group>
</front-stub>
<body>
<p>
<named-content content-type="letter-date">26 Apr 2023</named-content>
</p>
<p>Dear Dr. Kucharski,</p>
<p>Thank you very much for submitting your manuscript "Real-time surveillance of international SARS-CoV-2 prevalence using systematic traveller arrival screening" (PMEDICINE-D-22-04017R1) for consideration at PLOS Medicine. </p>
<p>Your paper was evaluated by a senior editor and discussed among all the editors here. It was also discussed with an academic editor with relevant expertise, and sent to independent reviewers, including a statistical reviewer. The reviews are appended at the bottom of this email and any accompanying reviewer attachments can be seen via the link below:</p>
<p>[LINK]</p>
<p>In light of these reviews, I am afraid that we will not be able to accept the manuscript for publication in the journal in its current form, but we would like to consider a revised version that addresses the reviewers' and editors' comments. Obviously we cannot make any decision about publication until we have seen the revised manuscript and your response, and we plan to seek re-review by one or more of the reviewers.  </p>
<p>In revising the manuscript for further consideration, your revisions should address the specific points made by each reviewer and the editors. Please also check the guidelines for revised papers at <ext-link ext-link-type="uri" xlink:href="http://journals.plos.org/plosmedicine/s/revising-your-manuscript" xlink:type="simple">http://journals.plos.org/plosmedicine/s/revising-your-manuscript</ext-link> for any that apply to your paper. In your rebuttal letter you should indicate your response to the reviewers' and editors' comments, the changes you have made in the manuscript, and include either an excerpt of the revised text or the location (eg: page and line number) where each change can be found. Please submit a clean version of the paper as the main article file; a version with changes marked should be uploaded as a marked up manuscript.</p>
<p>In addition, we request that you upload any figures associated with your paper as individual TIF or EPS files with 300dpi resolution at resubmission; please read our figure guidelines for more information on our requirements: <ext-link ext-link-type="uri" xlink:href="http://journals.plos.org/plosmedicine/s/figures" xlink:type="simple">http://journals.plos.org/plosmedicine/s/figures</ext-link>. While revising your submission, please upload your figure files to the PACE digital diagnostic tool, <ext-link ext-link-type="uri" xlink:href="https://pacev2.apexcovantage.com/" xlink:type="simple">https://pacev2.apexcovantage.com/</ext-link>. PACE helps ensure that figures meet PLOS requirements. To use PACE, you must first register as a user. Then, login and navigate to the UPLOAD tab, where you will find detailed instructions on how to use the tool. If you encounter any issues or have any questions when using PACE, please email us at <email xlink:type="simple">PLOSMedicine@plos.org</email>.</p>
<p>We expect to receive your revised manuscript by May 17 2023 11:59PM. Please email us (<email xlink:type="simple">plosmedicine@plos.org</email>) if you have any questions or concerns.</p>
<p>***Please note while forming your response, if your article is accepted, you may have the opportunity to make the peer review history publicly available. The record will include editor decision letters (with reviews) and your responses to reviewer comments. If eligible, we will contact you to opt in or out.***</p>
<p>We ask every co-author listed on the manuscript to fill in a contributing author statement, making sure to declare all competing interests. If any of the co-authors have not filled in the statement, we will remind them to do so when the paper is revised. If all statements are not completed in a timely fashion this could hold up the re-review process. If new competing interests are declared later in the revision process, this may also hold up the submission. Should there be a problem getting one of your co-authors to fill in a statement we will be in contact.  YOU MUST NOT ADD OR REMOVE AUTHORS UNLESS YOU HAVE ALERTED THE EDITOR HANDLING THE MANUSCRIPT TO THE CHANGE AND THEY SPECIFICALLY HAVE AGREED TO IT. You can see our competing interests policy here: <ext-link ext-link-type="uri" xlink:href="http://journals.plos.org/plosmedicine/s/competing-interests" xlink:type="simple">http://journals.plos.org/plosmedicine/s/competing-interests</ext-link>.</p>
<p>Please use the following link to submit the revised manuscript: </p>
<p><ext-link ext-link-type="uri" xlink:href="https://www.editorialmanager.com/pmedicine/" xlink:type="simple">https://www.editorialmanager.com/pmedicine/</ext-link></p>
<p>Your article can be found in the "Submissions Needing Revision" folder. </p>
<p>To enhance the reproducibility of your results, we recommend that you deposit your laboratory protocols in protocols.io, where a protocol can be assigned its own identifier (DOI) such that it can be cited independently in the future. Additionally, PLOS ONE offers an option to publish peer-reviewed clinical study protocols. Read more information on sharing protocols at <ext-link ext-link-type="uri" xlink:href="https://plos.org/protocols?utm_medium=editorial-email&amp;utm_source=authorletters&amp;utm_campaign=protocols" xlink:type="simple">https://plos.org/protocols?utm_medium=editorial-email&amp;utm_source=authorletters&amp;utm_campaign=protocols</ext-link></p>
<p>Please ensure that the paper adheres to the PLOS Data Availability Policy (see <ext-link ext-link-type="uri" xlink:href="http://journals.plos.org/plosmedicine/s/data-availability" xlink:type="simple">http://journals.plos.org/plosmedicine/s/data-availability</ext-link>), which requires that all data underlying the study's findings be provided in a repository or as Supporting Information. For data residing with a third party, authors are required to provide instructions with contact information for obtaining the data. PLOS journals do not allow statements supported by "data not shown" or "unpublished results." For such statements, authors must provide supporting data or cite public sources that include it. </p>
<p>We look forward to receiving your revised manuscript. </p>
<p>Sincerely,</p>
<p>Philippa Dodd, MBBS MRCP PhD</p>
<p>PLOS Medicine</p>
<p><ext-link ext-link-type="uri" xlink:href="http://plosmedicine.org" xlink:type="simple">plosmedicine.org</ext-link></p>
<p>-----------------------------------------------------------</p>
<p>Requests from the editors:</p>
<p>GENERAL</p>
<p>Please respond to all editor and reviewer comments detailed below in full.</p>
<p>Please include line (and page) numbers starting at 1 and in continuous sequence thereafter.</p>
<p>COMMENTS FROM THE ACADEMIC EDITOR</p>
<p>Thanks for your submission and congratulations on proposing a potentially unique case for traveller screening data. Please find below some requests:</p>
<p>(1) Most countries are using environmental surveillance (i.e. wastewater surveillance) as a leading indicator. Would suggest including that triangulation and comparison as part of this submission, if feasible.</p>
<p>(2) Please elaborate on utility of these data for other countries and the larger public health community (e.g. would you propose the UK used these data as a proxy for other countries' transmission levels?).</p>
<p>(3) Please elaborate on potential selection biases involved with using traveller data. A couple examples include that these travellers may only represent the wealthy from US/France rather than travellers across socioeconomic strata and also misses symptomatic individuals.</p>
<p>(4) For the French and US analyses, could you contextualize with serosurveillance and case surveillance data from those countries rather than the UK (the results cites UK infection surveys after the analyses which was confusing)?</p>
<p>(5) There is a lot going on in the figures. I really wanted to hone in on the triangulation of travellers data to nationally representative seroprevalence data. This appears to be in C and D? Are the readers supposed to take away that the trend is the same using both data sources? Furthermore, for E and F are these simply data from other studies? It is not immediately clear how these travellers data are included in those panels</p>
<p>TITLE</p>
<p>Please revise your title according to PLOS Medicine's style. Your title must be nondeclarative and not a question. It should begin with main concept if possible. "Effect of" should be used only if causality can be inferred, i.e., for an RCT. Please place the study design ("A randomized controlled trial," "A retrospective study," "A modelling study," etc.) in the subtitle (ie, after a colon).</p>
<p>ABSTRACT</p>
<p>Abstract Background: </p>
<p>Please ensure that the final sentence clearly states the study question.</p>
<p>Abstract Methods and Findings:</p>
<p>Please ensure that all numbers presented in the abstract are present and identical to numbers presented in the main manuscript text.</p>
<p>Please define ‘PCR’ at first use for the reader</p>
<p>Please provide brief demographic details of the study population (e.g. sex, age, ethnicity, etc)</p>
<p>Please include/clearly define the number of participants, length of follow up, and main outcome measures.</p>
<p>Please define the numerical values contained within parentheses </p>
<p>Please quantify the main results with 95% CIs and p values. When reporting p values, please report as p&lt;0.001 and where higher the exact p value as p=0.002, for example. If not reporting p values, please clearly state the reasons why not, to help facilitate transparent data reporting.*</p>
<p>When reporting 95% CIs suggest the use of commas to separate upper and lower bounds as opposed to hyphens as these can be confused with reporting of negative values.* </p>
<p>*Please check and amend throughout the main manuscript, tables, figures and supporting files where relevant. </p>
<p>Please include any important dependent variables that are adjusted for in the analyses.</p>
<p>Please include numerators and denominators used to derive percentages.</p>
<p>In the last sentence of the Abstract Methods and Findings section, please detail 2-3 primary limitations of the study's methodology.</p>
<p>Abstract Conclusions:</p>
<p>Please emphasize what is new and address the implications of your study and in doing so please avoid assertions of primacy (‘We report for the first time...’), ‘In this study, we observed...’ may be useful.</p>
<p>Please interpret the study based on the results presented in the abstract, emphasizing what is new without overstating your conclusions.</p>
<p>Please address the study implications without overreaching what can be concluded from the data </p>
<p>Please avoid vague statements such as ‘these results have major implications for policy/clinical care’.  Mention only specific implications substantiated by the results.</p>
<p>AUTHOR SUMMARY</p>
<p>At this stage, we ask that you include a short, non-technical Author Summary of your research to make findings accessible to a wide audience that includes both scientists and non-scientists. The authors summary should consist of 2-3 succinct bullet points under each of the following headings:</p>
<p>• Why Was This Study Done? Authors should reflect on what was known about the topic before the research was published and why the research was needed.</p>
<p>• What Did the Researchers Do and Find? Authors should briefly describe the study design that was used and the study’s major findings. Do include the headline numbers from the study, such as the sample size and key findings.    </p>
<p>• What Do These Findings Mean? Authors should reflect on the new knowledge generated by the research and the implications for practice, research, policy, or public health. Authors should also consider how the interpretation of the study’s findings may be affected by the study limitations. In the final bullet point of ‘What Do These Findings Mean?’, please describe the main limitations of the study in non-technical language.</p>
<p>The Author Summary should immediately follow the Abstract in your revised manuscript. This text is subject to editorial change and should be distinct from the scientific abstract. Please see our author guidelines for more information: <ext-link ext-link-type="uri" xlink:href="https://journals.plos.org/plosmedicine/s/revising-your-manuscript#loc-author-summary" xlink:type="simple">https://journals.plos.org/plosmedicine/s/revising-your-manuscript#loc-author-summary</ext-link></p>
<p>INTRODUCTION</p>
<p>Please indicate whether your study is novel and how you determined that. </p>
<p>If there has been a systematic review of the evidence related to your study (or you have conducted one), please refer to and reference that review and indicate whether it supports the need for your study.</p>
<p>Please define ‘ONS’ and ‘REACT-1’</p>
<p>METHODS and RESULTS</p>
<p>We ask all authors of modelling studies to ensure the inclusion of specific items, derived from Geoffrey P Garnett, Simon Cousens, Timothy B Hallett, Richard Steketee, Neff Walker. Mathematical models in the evaluation of health programmes. (2011) Lancet DOI:10.1016/S0140-6736(10)61505-X.  Please review the list below and ensure that all items are included in the relevant parts of the main manuscript:</p>
<p>* Please provide a diagram that shows the model structure, including how the disease natural history is represented, the process and determinants of disease acquisition, and how the putative intervention could affect the system.</p>
<p>* Please provide a complete list of model parameters, including clear and precise descriptions of [the meaning of each parameter, together with the values or ranges for each, with justification or the primary source cited, and important caveats about the use of these values noted].</p>
<p>* For uncertainty analyses, please state the sources of uncertainties quantified and not quantified [can include parameter, data, and model structure].</p>
<p>* Please provide sensitivity analyses to identify which parameter values are most important in the model. Uncertainty estimates seek to derive a range of credible results on the basis of an exploration of the range of reasonable parameter values. The choice of method should be presented and justified.</p>
<p>* Please discuss the scientific rationale for this choice of model structure and identify points where this choice could influence conclusions drawn. Please also describe the strength of the scientific basis underlying the key model assumptions.</p>
<p>Methods/’Data’ – this section both defines and discusses the background to the methodology. Please ensure that the methods section serves to only clearly define the methodology used and restrict background information/discussions to the relevant sections of your manuscript. Please revise accordingly. Please define PCR at first use.</p>
<p>Methods/’travel testing model’ – ‘D=30 days’ what does the D depict here, please define for the reader.</p>
<p>Ethics statement – please define LSHTM for the reader.</p>
<p>As above, PLOS Medicine requests that main results are quantified with 95% CIs and p values.  When reporting p values, please report as p&lt;0.001 and where higher the exact p value as p=0.002, for example. If not reporting p values, please clearly state the reasons why not, to help facilitate transparent data reporting.</p>
<p>When reporting 95% CIs suggest the use of commas to separate upper and lower bounds as opposed to hyphens as these can be confused with reporting of negative values. Please check and amend throughout the main manuscript, tables, figures and supporting files where relevant. </p>
<p>Results, para 5 – please clearly define the numerical values contained within parentheses for the reader</p>
<p>FIGURES &amp; SUPPORTING FIGURES</p>
<p>Please consider avoiding the use of green and/or red to improve accessibility of your figures to those with colour blindness.</p>
<p>Please ensure that all figure captions clearly describe the content of the figure without the need to refer to the text.</p>
<p>Please ensure that all abbreviations are defined in the figure captions for the reader, including those used to report statistical information.</p>
<p>Figure 1 – you report credible intervals (CrI) and elsewhere confidence intervals (CI) should it be one or the other? Please clarify/revise as necessary.</p>
<p>Figure 3 – please define HCW, PCR, Ct, WT</p>
<p>Figure 5 – please clearly define the meaning of the dots and lines as well as the grey dotted line.</p>
<p>DISCUSSION</p>
<p>Please present and organize the Discussion as follows (avoiding the use of sub-headings): a short, clear summary of the article's findings; what the study adds to existing research and where and why the results may differ from previous research; strengths and limitations of the study; implications and next steps for research, clinical practice, and/or public policy; one-paragraph conclusion.</p>
<p>REFERENCES</p>
<p>Please ensure that in the bibliography, up to but no more than 6 author names are listed followed by et al., in the event that more than 6 individuals contribute to an individual study. Please ensure that journal name abbreviations are those found in the National Center for Biotechnology Information (NCBI) databases. Please see our website for other reference guidelines <ext-link ext-link-type="uri" xlink:href="https://journals.plos.org/plosmedicine/s/submission-guidelines#loc-references" xlink:type="simple">https://journals.plos.org/plosmedicine/s/submission-guidelines#loc-references</ext-link></p>
<p>Comments from the reviewers:</p>
<p>Reviewer #1: Kucharski et al. analyse COVID testing data on persons arriving in French Polynesia, and make useful inferences on infection prevalence in other parts of the world.</p>
<p>Overall comments</p>
<p>This is a very nice and careful analysis of a complex dataset. There are some limitations, and one general question I would have is about the public health value of this data to the people paying for this data (possibly the taxpayers in French Polynesia?), since it relates to infection prevalence in other locations. Nevertheless, countries should be willing to donate resources for the greater international good. In addition, I don't think it is too plausible that COVID policies in France or the United States would be based on surveillance data on travelers into French Polynesia. France and the United States should be capable of collecting data on infection prevalence in their own locations. Notwithstanding these issues, there is clearly incredible scientific value of the data, which were generated anyway because of on-arrival testing of all arrivals. I agree with authors that a global network of sentinel locations collecting this type of data would be a fantastic resource to allow inferences on infection prevalence globally, and WHO should certainly consider this in the next pandemic. However for surveillance purposes, the ideal data would be on-arrival testing and reporting of pre-departure tests, because the shape of the "hole" in Figure 1D is absolutely critical to all of authors' inferences.</p>
<p>Perhaps worthy of mention is that the travel measures in French Polynesia between February and August 2021 was part of a successful effort to keep COVID out of the community (correct, from Figure 3C?) by combining it with on-arrival quarantine as well as other control measures? Perhaps the paper could be expanded with a brief mention of this, because obviously on-arrival COVID testing will only affect COVID control if combined with (1) minimization in daily arrivals and (2) strict management of those that do arrive and (3) domestic outbreak control measures. Without these other three components it is unlikely that arrival testing will have any impact.</p>
<p>One other final comment/concern is the complexity of methodological description used for presentation to a general audience. Authors might consider illustrating the methods with a flow diagram or schematic to show the concepts involved, with formulas left to the appendix. </p>
<p>Major comments</p>
<p>1. Have authors assumed that PCR sensitivity in French Polynesia is equal to PCR sensitivity in the pre-departure tests (mainly in France and the US)? I would question that assumption. PCR sensitivity can vary substantially between laboratories. Figure 1D has a chunk out of it assuming that pre-departure tests have a particular sensitivity, but authors have basically no information on that. Authors also assume constant PCR sensitivity over time for different variants which is somewhat unlikely.</p>
<p>2. In third paragraph of results, at the end, there is an argument about the proportion of infections that would be picked up by delayed testing but the point of this analysis is unclear. Other studies have already shown that unless imported infections are reduced to an absolute trickle, COVID will spread in the community (unless the community is already in lockdown). Delayed on-arrival COVID testing may or may not have an advantage over immediate on-arrival testing but there is a far bigger story to look at there, than just the proportion of infections picked up. This paper seems to be about the inferences that can be drawn on prevalence in France and the US from the arrival testing, not about the value of the arrival testing for the control of COVID in French Polynesia (see comments above).</p>
<p>3. End of first paragraph of results "Our approach could therefore generate reliable estimates for simulated departure prevalence dynamics…" that's good news that your model can recover input parameters in a simulation, but reliability mainly depends on sample size, accuracy would be a more important metric to mention here, particularly in simulations where the pre-departure PCR sensitivity is misspecified in your model. At a guess, the inference on trends in prevalence would be more accurate than the inference on exact prevalence values at a given time, provided that pre-departure PCR sensitivity remains fairly constant over time even if misspecified in the model?</p>
<p>4. For Figure 4, how did you know where travelers came from? Was this just based on where the inbound flight had taken off from, or was it based on some type of health declaration? Some passengers may have connected onto the inbound flights and actually come from other locations? Ref 23 seems to be referring to tourists but many arriving persons would be returning residents? And ref 23 may not survive in the future, it might be better to extract the raw data you used from that website and include it as an appendix file.</p>
<p>5. The end of the fourth paragraph provides UK data for context but that would seem to be better suited to the Discussion than the Results section. I don't think you have any directly comparable data on prevalence in France or the US for the studied periods, which means there is not really a way to validate your results. That does reveal the potential importance of your inferences - if valid - to reveal something that otherwise is not known. But it would be preferable if you had at least some data for France or the United States to triangulate. Comparison of your PCR results with serology is not particularly convincing in this case, unless you can show perhaps how ONS PCR data closely match with ONS seropositivity as well?</p>
<p>Reviewer #2: In this paper, the authors describe results from a SARS-CoV-2 traveler testing program run in French Polynesia between July 2020 and March 2022.  As the authors highlight, the use of traveler testing data can potentially provide a less biased estimate of local infection prevalence, serve as a leading indicator for changes in prevalence, and also contain information on the prevalence of countries where travelers originate from. The authors demonstrate an approach for analyzing arrival/departure testing data, accounting for potential biases associated with epidemic stage, e.g., rising, falling steady, and when an individual was tested wrt to travel, e.g., how far in advance of travel or how long after arriving. Additionally, they provide estimates of SARS-CoV-2 prevalence in French Polynesia, France, and the United States. Given the recent attention associated with airport testing, the work here is quite timely. However, I do have a few questions/comments, which I hope the authors find constructive.</p>
<p>1. Do we know how infection rates among travelers is related to infection rates in the entire population? Given that there are socio-economic biases between travelers and non-travelers and socio-economic biases in infection rates, it seems as though some correction is needed because travelers are not an iid sample from the entire population.</p>
<p>2. Additionally, do we know if travelers are more generally at risk of getting infected? You might imagine that the distribution of social contacts for someone who is a traveler is higher than for someone that isn't, so, all else equal, their risk of getting infected would be higher.</p>
<p>3. Could either points 1 or 2 above be related to why you find that traveler positivity is a leading indicator of country-wide prevalence? I could also imagine that simply having a less biased estimate would provide a leading indicator as well. </p>
<p>4. Related to the above points, how do your estimates of prevalence compare to hospitalizations, test positivity, and wastewater positivity (to the extent it's available) in the various countries? Given that we expect the relationship between true prevalence and test positivity to shift during the pandemic, I'd expect to see a similar shift in the relationship between test positivity and your estimate of prevalence from travel testing.  </p>
<p>5. Many individuals also believe that wastewater surveillance can provide an unbiased, real-time estimate of prevalence. I would encourage the authors to add a brief discussion of how wastewater surveillance and traveler testing might complement each other.  For example, wastewater surveillance also tends to be a leading indicator, but that's almost certainly due to biases in clinical testing wrt to timing of infection. As a result, I could imagine that traveler testing might prove to be a true leading indicator. </p>
<p>6. In the "Prevalence Model" section, the authors provide an estimate of the mean duration of positivity (8.6 days). Was this number obtain empirically? If so, it's not clear how it estimated. If it's not an empirical estimate, where do you obtain this value? </p>
<p>7. Related to the above, is there data on whether infection duration varied across variants? The reported serial interval for Omicron is between 2 and 4 days (although Abbott et al. report a generation time of 1.5 - 3.2 days, which would meant the serial interval would likely be narrower).</p>
<p>Abbott, S., Sherratt, K., Gerstung, M., &amp; Funk, S. (2022). Estimation of the test to test distribution as a proxy for generation interval distribution for the Omicron variant in England. medRxiv.</p>
<p>Kim, D., Ali, S. T., Kim, S., Jo, J., Lim, J. S., Lee, S., &amp; Ryu, S. (2022). Estimation of serial interval and reproduction number to quantify the transmissibility of SARS-CoV-2 omicron variant in South Korea. Viruses, 14(3), 533.</p>
<p>Ito, K., Piantham, C., &amp; Nishiura, H. (2022). Estimating relative generation times and relative reproduction numbers of Omicron BA. 1 and BA. 2 with respect to Delta in Denmark. medRxiv.</p>
<p>Reviewer #3: </p>
<p>This paper is concerned with a potentially useful method for surveillance of covid prevalence using traveller screening data. While the idea and development are interesting, there is a large number of methodological issues with the paper. Specific comments are given below.</p>
<p>The authors will need to be scientifically honest about the quantification of uncertainty of the proposed approach. At a somewhat simplistic level they suggest that their data, which contain information from about a thousand cases, can reconstruct and accurately estimate the epidemic dynamics of the USA and France. If this method is to be used in practice one would need a precise estimate of the associated uncertainty at the very least.</p>
<p>This task also involves estimating the uncertainty of functions of probabilities and explicit discussions on using the bootstrap or the delta method should be given.</p>
<p>In addition to the variance of those probabilities, potential bias issues should be discussed in detail, especially since some of the probabilities involved are small in which case the associated MLEs/sample proportions can be highly unstable. For such cases, methods like the Firth correction or Bayesian approaches give more accurate estimates (in terms of mean square error) and could be considered in this paper.</p>
<p>In addition to the technical details of the bias and variance properties of the estimates used, there is a subtle notion related to the aim of the paper. Are the travellers used for screening a truly representative sample of the population at the country of origin? And if not does this really matter? </p>
<p>It would be desirable to disentangle the two and offer a fair account of what the paper does and does not achieve with the proposed approach.</p>
<p>Please discuss reliable ways to validate these estimates, including against independent data, possibly from seroprevalence studies. The "bootstrap prediction intervals" discussed at the end of "prevalence model" are in-sample estimates and therefore conservative.</p>
<p>Do the authors account for the effects of false positives/negatives and the associated uncertainty?</p>
<p>Please discuss the availability of the various data sources, including the cohort study of self-tested healthcare workers.</p>
<p>I think the authors implicitly assume in their calculations that the probability of infection during travel is negligible, please discuss.</p>
<p>Would working with R_t estimates offer an alternative or complementary approach to the proposed technique? In some ways it would settle some of the issues like automatically adjusting for a growing/declining epidemic in the country of origin.</p>
<p>When discussing the results (like the 60/40 contribution in figure 3) it would be useful to try and disentangle the relative importance of assumptions and data. Some of those results heavily depend upon the assumption made so some clarification would help.</p>
<p>A similar idea, of exploring traveller screening data for surveillance is explored in (Bastani et al. Nature 599, p.108-113, 2021) where additional covariate information is utilised. The authors should discuss their work in the context of the relevant literature.</p>
<p>Page numbering would be useful in the review process, please add them.</p>
<p>Any attachments provided with reviews can be seen via the following link:</p>
<p>[LINK]</p>
</body>
</sub-article>
<sub-article article-type="author-comment" id="pmed.1004283.r003">
<front-stub>
<article-id pub-id-type="doi">10.1371/journal.pmed.1004283.r003</article-id>
<title-group>
<article-title>Author response to Decision Letter 1</article-title>
</title-group>
<related-object document-id="10.1371/journal.pmed.1004283" document-id-type="doi" document-type="peer-reviewed-article" id="rel-obj003" link-type="rebutted-decision-letter" object-id="10.1371/journal.pmed.1004283.r002" object-id-type="doi" object-type="decision-letter"/>
<custom-meta-group>
<custom-meta>
<meta-name>Submission Version</meta-name>
<meta-value>2</meta-value>
</custom-meta>
</custom-meta-group>
</front-stub>
<body>
<p>
<named-content content-type="author-response-date">16 Jun 2023</named-content>
</p>
<supplementary-material id="pmed.1004283.s005" mimetype="application/vnd.openxmlformats-officedocument.wordprocessingml.document" position="float" xlink:href="info:doi/10.1371/journal.pmed.1004283.s005" xlink:type="simple">
<label>Attachment</label>
<caption>
<p>Submitted filename: <named-content content-type="submitted-filename">Response_to_reviewers_V2_1.docx</named-content></p>
</caption>
</supplementary-material>
</body>
</sub-article>
<sub-article article-type="aggregated-review-documents" id="pmed.1004283.r004" specific-use="decision-letter">
<front-stub>
<article-id pub-id-type="doi">10.1371/journal.pmed.1004283.r004</article-id>
<title-group>
<article-title>Decision Letter 2</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name name-style="western">
<surname>Dodd</surname>
<given-names>Philippa C.</given-names>
</name>
<role>Senior Editor</role>
</contrib>
</contrib-group>
<permissions>
<copyright-year>2023</copyright-year>
<copyright-holder>Philippa C. Dodd</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<license-p>This is an open access article distributed under the terms of the <ext-link ext-link-type="uri" xlink:href="http://creativecommons.org/licenses/by/4.0/" xlink:type="simple">Creative Commons Attribution License</ext-link>, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.</license-p>
</license>
</permissions>
<related-object document-id="10.1371/journal.pmed.1004283" document-id-type="doi" document-type="article" id="rel-obj004" link-type="peer-reviewed-article"/>
<custom-meta-group>
<custom-meta>
<meta-name>Submission Version</meta-name>
<meta-value>2</meta-value>
</custom-meta>
</custom-meta-group>
</front-stub>
<body>
<p>
<named-content content-type="letter-date">10 Aug 2023</named-content>
</p>
<p>Dear Dr. Kucharski,</p>
<p>Thank you very much for re-submitting your manuscript "Real-time surveillance of international SARS-CoV-2 prevalence using systematic traveller arrival screening: a retrospective study" (PMEDICINE-D-22-04017R2) for review by PLOS Medicine.</p>
<p>I have discussed the paper with my colleagues and the academic editor and it was also seen again by xxx reviewers. I am pleased to say that provided the remaining editorial and production issues are dealt with we are planning to accept the paper for publication in the journal.</p>
<p>The remaining issues that need to be addressed are listed at the end of this email. Any accompanying reviewer attachments can be seen via the link below. Please take these into account before resubmitting your manuscript:</p>
<p>[LINK]</p>
<p>***Please note while forming your response, if your article is accepted, you may have the opportunity to make the peer review history publicly available. The record will include editor decision letters (with reviews) and your responses to reviewer comments. If eligible, we will contact you to opt in or out.***</p>
<p>In revising the manuscript for further consideration here, please ensure you address the specific points made by each reviewer and the editors. In your rebuttal letter you should indicate your response to the reviewers' and editors' comments and the changes you have made in the manuscript. Please submit a clean version of the paper as the main article file. A version with changes marked must also be uploaded as a marked up manuscript file.</p>
<p>Please also check the guidelines for revised papers at <ext-link ext-link-type="uri" xlink:href="http://journals.plos.org/plosmedicine/s/revising-your-manuscript" xlink:type="simple">http://journals.plos.org/plosmedicine/s/revising-your-manuscript</ext-link> for any that apply to your paper. If you haven't already, we ask that you provide a short, non-technical Author Summary of your research to make findings accessible to a wide audience that includes both scientists and non-scientists. The Author Summary should immediately follow the Abstract in your revised manuscript. This text is subject to editorial change and should be distinct from the scientific abstract.</p>
<p>We expect to receive your revised manuscript within 1 week. Please email us (<email xlink:type="simple">plosmedicine@plos.org</email>) if you have any questions or concerns.</p>
<p>We ask every co-author listed on the manuscript to fill in a contributing author statement. If any of the co-authors have not filled in the statement, we will remind them to do so when the paper is revised. If all statements are not completed in a timely fashion this could hold up the re-review process. Should there be a problem getting one of your co-authors to fill in a statement we will be in contact. YOU MUST NOT ADD OR REMOVE AUTHORS UNLESS YOU HAVE ALERTED THE EDITOR HANDLING THE MANUSCRIPT TO THE CHANGE AND THEY SPECIFICALLY HAVE AGREED TO IT.</p>
<p>Please ensure that the paper adheres to the PLOS Data Availability Policy (see <ext-link ext-link-type="uri" xlink:href="http://journals.plos.org/plosmedicine/s/data-availability" xlink:type="simple">http://journals.plos.org/plosmedicine/s/data-availability</ext-link>), which requires that all data underlying the study's findings be provided in a repository or as Supporting Information. For data residing with a third party, authors are required to provide instructions with contact information for obtaining the data. PLOS journals do not allow statements supported by "data not shown" or "unpublished results." For such statements, authors must provide supporting data or cite public sources that include it.</p>
<p>To enhance the reproducibility of your results, we recommend that you deposit your laboratory protocols in protocols.io, where a protocol can be assigned its own identifier (DOI) such that it can be cited independently in the future. Additionally, PLOS ONE offers an option to publish peer-reviewed clinical study protocols. Read more information on sharing protocols at <ext-link ext-link-type="uri" xlink:href="https://plos.org/protocols?utm_medium=editorial-email&amp;utm_source=authorletters&amp;utm_campaign=protocols" xlink:type="simple">https://plos.org/protocols?utm_medium=editorial-email&amp;utm_source=authorletters&amp;utm_campaign=protocols</ext-link></p>
<p>Please review your reference list to ensure that it is complete and correct. If you have cited papers that have been retracted, please include the rationale for doing so in the manuscript text, or remove these references and replace them with relevant current references. Any changes to the reference list should be mentioned in the rebuttal letter that accompanies your revised manuscript.</p>
<p>Please note, when your manuscript is accepted, an uncorrected proof of your manuscript will be published online ahead of the final version, unless you've already opted out via the online submission form. If, for any reason, you do not want an earlier version of your manuscript published online or are unsure if you have already indicated as such, please let the journal staff know immediately at <email xlink:type="simple">plosmedicine@plos.org</email>.</p>
<p>If you have any questions in the meantime, please contact me or the journal staff on <email xlink:type="simple">plosmedicine@plos.org</email>.  </p>
<p>We look forward to receiving the revised manuscript by Aug 17 2023 11:59PM.   </p>
<p>Sincerely,</p>
<p>Philippa Dodd, MBBS MRCP PhD</p>
<p>Senior Editor </p>
<p>PLOS Medicine</p>
<p><ext-link ext-link-type="uri" xlink:href="http://plosmedicine.org" xlink:type="simple">plosmedicine.org</ext-link></p>
<p>------------------------------------------------------------</p>
<p>Requests from Editors:</p>
<p>GENERAL</p>
<p>Thank you for your detailed and considered responses to previous editor and comments. Please see below for further comments that we require you address prior to publication.</p>
<p>TITLE</p>
<p>Please replace ‘a retrospective…’ with ‘an observational…’</p>
<p>AUTHOR SUMMARY</p>
<p>Lines 63 onwards suggest removing the CIs to improve accessibility to the non-scientific reader.</p>
<p>Line 72 – this statement is rather vague and doesn’t really tell us anything specific. Suggest removing.</p>
<p>METHODS</p>
<p>Line 153 - please define PCR at first use in the main manuscript.</p>
<p>FIGURES</p>
<p>If this is not possible to begin axes of graphs at zero, please show a break in the axis.</p>
<p>Figure 4 caption – please define ‘GAM’ for the reader.</p>
<p>DISCUSSION</p>
<p>Line 354 – suggest ‘using arrival data from French Polynesia between July 2020 and March 2022’ instead.</p>
<p>REFERENCES</p>
<p>Please ensure all web references include an accessed date.</p>
<p>SUPPORTING INFORMATION</p>
<p>Please cite your Supporting Information as outlined here: <ext-link ext-link-type="uri" xlink:href="https://journals.plos.org/plosmedicine/s/supporting-information" xlink:type="simple">https://journals.plos.org/plosmedicine/s/supporting-information</ext-link></p>
<p>S1 Figure – please define ‘d’ (days) in the caption for the reader, please provide a legend what the different colors and letter refer to.</p>
<p>S2 Figure – please define ‘FP’ in the caption for the reader, please provide a legend what the different colors and letter refer to.</p>
<p>Supplement – please ensure the reference format follows our guidance detailed here <ext-link ext-link-type="uri" xlink:href="https://journals.plos.org/plosmedicine/s/submission-guidelines#loc-references" xlink:type="simple">https://journals.plos.org/plosmedicine/s/submission-guidelines#loc-references</ext-link></p>
<p>Please ensure all web references include an accessed date.</p>
<p>SOCIAL MEDIA</p>
<p>To help us extend the reach of your research, please detail any Twitter handles you wish to be included when we tweet this paper (including your own, your coauthors’, your institution, funder, or lab) in the manuscript submission form when you re-submit your manuscript.</p>
<p>COMMENTS FROM THE ACADEMIC EDITOR</p>
<p>The authors have done a comprehensive job in responding to all editorial and reviewer comments. The figure and legends of figures can use clarification</p>
<p>Comments from Reviewers:</p>
<p>Reviewer #1: I am satisfied with previous responses and corresponding revisions, and I have no further comments</p>
<p>Reviewer #3: The authors have revised their paper and this is now a substantially improved manuscript.</p>
<p>The response to my comment about validating the paper's estimates was cut but the overall response was satisfactory so I have no further comments.</p>
<p>Any attachments provided with reviews can be seen via the following link:</p>
<p>[LINK]</p>
</body>
</sub-article>
<sub-article article-type="author-comment" id="pmed.1004283.r005">
<front-stub>
<article-id pub-id-type="doi">10.1371/journal.pmed.1004283.r005</article-id>
<title-group>
<article-title>Author response to Decision Letter 2</article-title>
</title-group>
<related-object document-id="10.1371/journal.pmed.1004283" document-id-type="doi" document-type="peer-reviewed-article" id="rel-obj005" link-type="rebutted-decision-letter" object-id="10.1371/journal.pmed.1004283.r004" object-id-type="doi" object-type="decision-letter"/>
<custom-meta-group>
<custom-meta>
<meta-name>Submission Version</meta-name>
<meta-value>3</meta-value>
</custom-meta>
</custom-meta-group>
</front-stub>
<body>
<p>
<named-content content-type="author-response-date">16 Aug 2023</named-content>
</p>
<supplementary-material id="pmed.1004283.s006" mimetype="application/vnd.openxmlformats-officedocument.wordprocessingml.document" position="float" xlink:href="info:doi/10.1371/journal.pmed.1004283.s006" xlink:type="simple">
<label>Attachment</label>
<caption>
<p>Submitted filename: <named-content content-type="submitted-filename">Response_to_reviewers_V3.docx</named-content></p>
</caption>
</supplementary-material>
</body>
</sub-article>
<sub-article article-type="editor-report" id="pmed.1004283.r006" specific-use="decision-letter">
<front-stub>
<article-id pub-id-type="doi">10.1371/journal.pmed.1004283.r006</article-id>
<title-group>
<article-title>Decision Letter 3</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name name-style="western">
<surname>Dodd</surname>
<given-names>Philippa C.</given-names>
</name>
<role>Senior Editor</role>
</contrib>
</contrib-group>
<permissions>
<copyright-year>2023</copyright-year>
<copyright-holder>Philippa C. Dodd</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<license-p>This is an open access article distributed under the terms of the <ext-link ext-link-type="uri" xlink:href="http://creativecommons.org/licenses/by/4.0/" xlink:type="simple">Creative Commons Attribution License</ext-link>, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.</license-p>
</license>
</permissions>
<related-object document-id="10.1371/journal.pmed.1004283" document-id-type="doi" document-type="article" id="rel-obj006" link-type="peer-reviewed-article"/>
<custom-meta-group>
<custom-meta>
<meta-name>Submission Version</meta-name>
<meta-value>3</meta-value>
</custom-meta>
</custom-meta-group>
</front-stub>
<body>
<p>
<named-content content-type="letter-date">22 Aug 2023</named-content>
</p>
<p>Dear Dr Kucharski, </p>
<p>On behalf of my colleagues and the Academic Editor, Dr. Amitabh Suthar, I am pleased to inform you that we have agreed to publish your manuscript "Real-time surveillance of international SARS-CoV-2 prevalence using systematic traveller arrival screening: an observational study" (PMEDICINE-D-22-04017R3) in PLOS Medicine.</p>
<p>Before your manuscript can be formally accepted you will need to complete some formatting changes, which you will receive in a follow up email. Please be aware that it may take several days for you to receive this email; during this time no action is required by you. Once you have received these formatting requests, please note that your manuscript will not be scheduled for publication until you have made the required changes.</p>
<p>In the meantime, please log into Editorial Manager at <ext-link ext-link-type="uri" xlink:href="http://www.editorialmanager.com/pmedicine/" xlink:type="simple">http://www.editorialmanager.com/pmedicine/</ext-link>, click the "Update My Information" link at the top of the page, and update your user information to ensure an efficient production process. </p>
<p>PRESS</p>
<p>We frequently collaborate with press offices. If your institution or institutions have a press office, please notify them about your upcoming paper at this point, to enable them to help maximise its impact. If the press office is planning to promote your findings, we would be grateful if they could coordinate with <email xlink:type="simple">medicinepress@plos.org</email>. If you have not yet opted out of the early version process, we ask that you notify us immediately of any press plans so that we may do so on your behalf.</p>
<p>We also ask that you take this opportunity to read our Embargo Policy regarding the discussion, promotion and media coverage of work that is yet to be published by PLOS. As your manuscript is not yet published, it is bound by the conditions of our Embargo Policy. Please be aware that this policy is in place both to ensure that any press coverage of your article is fully substantiated and to provide a direct link between such coverage and the published work. For full details of our Embargo Policy, please visit <ext-link ext-link-type="uri" xlink:href="http://www.plos.org/about/media-inquiries/embargo-policy/" xlink:type="simple">http://www.plos.org/about/media-inquiries/embargo-policy/</ext-link>.</p>
<p>To enhance the reproducibility of your results, we recommend that you deposit your laboratory protocols in protocols.io, where a protocol can be assigned its own identifier (DOI) such that it can be cited independently in the future. Additionally, PLOS ONE offers an option to publish peer-reviewed clinical study protocols. Read more information on sharing protocols at <ext-link ext-link-type="uri" xlink:href="https://plos.org/protocols?utm_medium=editorial-email&amp;utm_source=authorletters&amp;utm_campaign=protocols" xlink:type="simple">https://plos.org/protocols?utm_medium=editorial-email&amp;utm_source=authorletters&amp;utm_campaign=protocols</ext-link></p>
<p>Thank you again for submitting to PLOS Medicine. We look forward to publishing your paper. </p>
<p>Best wishes, </p>
<p>Philippa Dodd, MBBS MRCP PhD </p>
<p>PLOS Medicine</p>
</body>
</sub-article>
</article>