<?xml version="1.0" encoding="UTF-8"?><!DOCTYPE article PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Archiving and Interchange DTD with MathML3 v1.3 20210610//EN"  "JATS-archivearticle1-3-mathml3.dtd"><article xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" article-type="research-article" dtd-version="1.3"><front><journal-meta><journal-id journal-id-type="nlm-ta">elife</journal-id><journal-id journal-id-type="publisher-id">eLife</journal-id><journal-title-group><journal-title>eLife</journal-title></journal-title-group><issn publication-format="electronic" pub-type="epub">2050-084X</issn><publisher><publisher-name>eLife Sciences Publications, Ltd</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="publisher-id">82469</article-id><article-id pub-id-type="doi">10.7554/eLife.82469</article-id><article-categories><subj-group subj-group-type="display-channel"><subject>Research Article</subject></subj-group><subj-group subj-group-type="heading"><subject>Epidemiology and Global Health</subject></subj-group><subj-group subj-group-type="heading"><subject>Microbiology and Infectious Disease</subject></subj-group></article-categories><title-group><article-title>Estimating the contribution of subclinical tuberculosis disease to transmission: An individual patient data analysis from prevalence surveys</article-title></title-group><contrib-group><contrib contrib-type="author" corresp="yes" id="author-187387"><name><surname>Emery</surname><given-names>Jon C</given-names></name><contrib-id authenticated="true" contrib-id-type="orcid">https://orcid.org/0000-0001-6644-7604</contrib-id><email>Jon.Emery@lshtm.ac.uk</email><xref ref-type="aff" rid="aff1">1</xref><xref ref-type="other" rid="fund1"/><xref ref-type="fn" rid="con1"/><xref ref-type="fn" rid="conf1"/></contrib><contrib contrib-type="author" id="author-227903"><name><surname>Dodd</surname><given-names>Peter J</given-names></name><xref ref-type="aff" rid="aff2">2</xref><xref ref-type="other" rid="fund4"/><xref ref-type="fn" rid="con2"/><xref ref-type="fn" rid="conf2"/></contrib><contrib contrib-type="author" id="author-292060"><name><surname>Banu</surname><given-names>Sayera</given-names></name><xref ref-type="aff" rid="aff3">3</xref><xref ref-type="fn" rid="con3"/><xref ref-type="fn" rid="conf1"/></contrib><contrib contrib-type="author" id="author-292061"><name><surname>Frascella</surname><given-names>Beatrice</given-names></name><xref ref-type="aff" rid="aff4">4</xref><xref ref-type="fn" rid="con4"/><xref ref-type="fn" rid="conf1"/></contrib><contrib contrib-type="author" id="author-292062"><name><surname>Garden</surname><given-names>Frances L</given-names></name><xref ref-type="aff" rid="aff5">5</xref><xref ref-type="aff" rid="aff6">6</xref><xref ref-type="fn" rid="con5"/><xref ref-type="fn" rid="conf1"/></contrib><contrib contrib-type="author" id="author-137775"><name><surname>Horton</surname><given-names>Katherine C</given-names></name><xref ref-type="aff" rid="aff1">1</xref><xref ref-type="other" rid="fund2"/><xref ref-type="other" rid="fund1"/><xref ref-type="other" rid="fund3"/><xref ref-type="fn" rid="con6"/><xref ref-type="fn" rid="conf1"/></contrib><contrib contrib-type="author" id="author-292063"><name><surname>Hossain</surname><given-names>Shahed</given-names></name><xref ref-type="aff" rid="aff7">7</xref><xref ref-type="fn" rid="con7"/><xref ref-type="fn" rid="conf1"/></contrib><contrib contrib-type="author" id="author-292064"><name><surname>Law</surname><given-names>Irwin</given-names></name><xref ref-type="aff" rid="aff8">8</xref><xref ref-type="fn" rid="con8"/><xref ref-type="fn" rid="conf1"/></contrib><contrib contrib-type="author" id="author-292065"><name><surname>van Leth</surname><given-names>Frank</given-names></name><xref ref-type="aff" rid="aff9">9</xref><xref ref-type="aff" rid="aff10">10</xref><xref ref-type="fn" rid="con9"/><xref ref-type="fn" rid="conf1"/></contrib><contrib contrib-type="author" id="author-164727"><name><surname>Marks</surname><given-names>Guy B</given-names></name><xref ref-type="aff" rid="aff5">5</xref><xref ref-type="aff" rid="aff11">11</xref><xref ref-type="fn" rid="con10"/><xref ref-type="fn" rid="conf3"/></contrib><contrib contrib-type="author" id="author-292066"><name><surname>Nguyen</surname><given-names>Hoa Binh</given-names></name><xref ref-type="aff" rid="aff12">12</xref><xref ref-type="fn" rid="con11"/><xref ref-type="fn" rid="conf1"/></contrib><contrib contrib-type="author" id="author-292067"><name><surname>Nguyen</surname><given-names>Hai Viet</given-names></name><xref ref-type="aff" rid="aff12">12</xref><xref ref-type="fn" rid="con12"/><xref ref-type="fn" rid="conf1"/></contrib><contrib contrib-type="author" id="author-292068"><name><surname>Onozaki</surname><given-names>Ikushi</given-names></name><xref ref-type="aff" rid="aff13">13</xref><xref ref-type="fn" rid="con13"/><xref ref-type="fn" rid="conf4"/></contrib><contrib contrib-type="author" id="author-292069"><name><surname>Quelapio</surname><given-names>Maria Imelda D</given-names></name><xref ref-type="aff" rid="aff14">14</xref><xref ref-type="fn" rid="con14"/><xref ref-type="fn" rid="conf1"/></contrib><contrib contrib-type="author" id="author-292070"><name><surname>Richards</surname><given-names>Alexandra S</given-names></name><xref ref-type="aff" rid="aff1">1</xref><xref ref-type="other" rid="fund1"/><xref ref-type="fn" rid="con15"/><xref ref-type="fn" rid="conf1"/></contrib><contrib contrib-type="author" id="author-247527"><name><surname>Shaikh</surname><given-names>Nabila</given-names></name><xref ref-type="aff" rid="aff1">1</xref><xref ref-type="aff" rid="aff15">15</xref><xref ref-type="other" rid="fund1"/><xref ref-type="fn" rid="con16"/><xref ref-type="fn" rid="conf5"/></contrib><contrib contrib-type="author" id="author-292071"><name><surname>Tiemersma</surname><given-names>Edine W</given-names></name><xref ref-type="aff" rid="aff16">16</xref><xref ref-type="fn" rid="con17"/><xref ref-type="fn" rid="conf1"/></contrib><contrib contrib-type="author" id="author-12175"><name><surname>White</surname><given-names>Richard G</given-names></name><xref ref-type="aff" rid="aff1">1</xref><xref ref-type="other" rid="fund6"/><xref ref-type="other" rid="fund7"/><xref ref-type="other" rid="fund8"/><xref ref-type="other" rid="fund9"/><xref ref-type="other" rid="fund10"/><xref ref-type="other" rid="fund13"/><xref ref-type="other" rid="fund11"/><xref ref-type="other" rid="fund12"/><xref ref-type="fn" rid="con18"/><xref ref-type="fn" rid="conf1"/></contrib><contrib contrib-type="author" id="author-292072"><name><surname>Zaman</surname><given-names>Khalequ</given-names></name><xref ref-type="aff" rid="aff3">3</xref><xref ref-type="fn" rid="con19"/><xref ref-type="fn" rid="conf1"/></contrib><contrib contrib-type="author" id="author-20771"><name><surname>Cobelens</surname><given-names>Frank</given-names></name><xref ref-type="aff" rid="aff17">17</xref><xref ref-type="fn" rid="con20"/><xref ref-type="fn" rid="conf1"/></contrib><contrib contrib-type="author" id="author-20270"><name><surname>Houben</surname><given-names>Rein MGJ</given-names></name><contrib-id authenticated="true" contrib-id-type="orcid">https://orcid.org/0000-0003-4132-7467</contrib-id><xref ref-type="aff" rid="aff1">1</xref><xref ref-type="fn" rid="con21"/><xref ref-type="fn" rid="conf1"/></contrib><aff id="aff1"><label>1</label><institution-wrap><institution-id institution-id-type="ror">https://ror.org/00a0jsq62</institution-id><institution>TB Modelling Group, TB Centre and Centre for Mathematical Modelling of Infectious Diseases, Department of Infectious Disease Epidemiology, London School of Hygiene &amp; Tropical Medicine</institution></institution-wrap><addr-line><named-content content-type="city">London</named-content></addr-line><country>United Kingdom</country></aff><aff id="aff2"><label>2</label><institution-wrap><institution-id institution-id-type="ror">https://ror.org/05krs5044</institution-id><institution>School of Health and Related Research, University of Sheffield</institution></institution-wrap><addr-line><named-content content-type="city">Sheffield</named-content></addr-line><country>United Kingdom</country></aff><aff id="aff3"><label>3</label><institution-wrap><institution-id institution-id-type="ror">https://ror.org/04vsvr128</institution-id><institution>International Centre for Diarrhoeal Disease Research</institution></institution-wrap><addr-line><named-content content-type="city">Dhaka</named-content></addr-line><country>Bangladesh</country></aff><aff id="aff4"><label>4</label><institution-wrap><institution-id institution-id-type="ror">https://ror.org/01gmqr298</institution-id><institution>School of Public Health, Vita-Salute San Raffaele University</institution></institution-wrap><addr-line><named-content content-type="city">Milan</named-content></addr-line><country>Italy</country></aff><aff id="aff5"><label>5</label><institution-wrap><institution-id institution-id-type="ror">https://ror.org/03r8z3t63</institution-id><institution>South West Sydney Clinical Campuses, University of New South Wales</institution></institution-wrap><addr-line><named-content content-type="city">Sydney</named-content></addr-line><country>Australia</country></aff><aff id="aff6"><label>6</label><institution-wrap><institution-id institution-id-type="ror">https://ror.org/03y4rnb63</institution-id><institution>Ingham Institute of Applied Medical Research</institution></institution-wrap><addr-line><named-content content-type="city">Sydney</named-content></addr-line><country>Australia</country></aff><aff id="aff7"><label>7</label><institution-wrap><institution-id institution-id-type="ror">https://ror.org/00sge8677</institution-id><institution>James P. Grant School of Public Health, BRAC University</institution></institution-wrap><addr-line><named-content content-type="city">Dhaka</named-content></addr-line><country>Bangladesh</country></aff><aff id="aff8"><label>8</label><institution-wrap><institution-id institution-id-type="ror">https://ror.org/01f80g185</institution-id><institution>Global Tuberculosis Programme, World Health Organization</institution></institution-wrap><addr-line><named-content content-type="city">Geneva</named-content></addr-line><country>Switzerland</country></aff><aff id="aff9"><label>9</label><institution-wrap><institution-id institution-id-type="ror">https://ror.org/008xxew50</institution-id><institution>Department of Health Sciences, VU University</institution></institution-wrap><addr-line><named-content content-type="city">Amsterdam</named-content></addr-line><country>Netherlands</country></aff><aff id="aff10"><label>10</label><institution>Amsterdam Public Health Research Institute</institution><addr-line><named-content content-type="city">Amsterdam</named-content></addr-line><country>Netherlands</country></aff><aff id="aff11"><label>11</label><institution-wrap><institution-id institution-id-type="ror">https://ror.org/04hy0x592</institution-id><institution>Woolcock Institute of Medical Research</institution></institution-wrap><addr-line><named-content content-type="city">Sydney</named-content></addr-line><country>Australia</country></aff><aff id="aff12"><label>12</label><institution>National Lung Hospital, National Tuberculosis Control Program</institution><addr-line><named-content content-type="city">Ha Noi</named-content></addr-line><country>Viet Nam</country></aff><aff id="aff13"><label>13</label><institution-wrap><institution-id institution-id-type="ror">https://ror.org/012daep68</institution-id><institution>Research Institute of Tuberculosis, Japan Anti-Tuberculosis Association</institution></institution-wrap><addr-line><named-content content-type="city">Tokyo</named-content></addr-line><country>Japan</country></aff><aff id="aff14"><label>14</label><institution-wrap><institution-id institution-id-type="ror">https://ror.org/05jxxs868</institution-id><institution>Tropical Disease Foundation</institution></institution-wrap><addr-line><named-content content-type="city">Makati City</named-content></addr-line><country>Philippines</country></aff><aff id="aff15"><label>15</label><institution>Sanofi Pasteur</institution><addr-line><named-content content-type="city">Reading</named-content></addr-line><country>United Kingdom</country></aff><aff id="aff16"><label>16</label><institution-wrap><institution-id institution-id-type="ror">https://ror.org/0287mpm73</institution-id><institution>KNCV Tuberculosis Foundation</institution></institution-wrap><addr-line><named-content content-type="city">The Hague</named-content></addr-line><country>Netherlands</country></aff><aff id="aff17"><label>17</label><institution-wrap><institution-id institution-id-type="ror">https://ror.org/037n2rm85</institution-id><institution>Department of Global Health and Amsterdam Institute for Global Health and Development, Amsterdam University Medical Centers, University of Amsterdam</institution></institution-wrap><addr-line><named-content content-type="city">Amsterdam</named-content></addr-line><country>Netherlands</country></aff></contrib-group><contrib-group content-type="section"><contrib contrib-type="editor"><name><surname>Kana</surname><given-names>Bavesh D</given-names></name><role>Reviewing Editor</role><aff><institution-wrap><institution-id institution-id-type="ror">https://ror.org/03rp50x72</institution-id><institution>University of the Witwatersrand</institution></institution-wrap><country>South Africa</country></aff></contrib><contrib contrib-type="senior_editor"><name><surname>Kana</surname><given-names>Bavesh D</given-names></name><role>Senior Editor</role><aff><institution-wrap><institution-id institution-id-type="ror">https://ror.org/03rp50x72</institution-id><institution>University of the Witwatersrand</institution></institution-wrap><country>South Africa</country></aff></contrib></contrib-group><pub-date publication-format="electronic" date-type="publication"><day>18</day><month>12</month><year>2023</year></pub-date><pub-date pub-type="collection"><year>2023</year></pub-date><volume>12</volume><elocation-id>e82469</elocation-id><history><date date-type="received" iso-8601-date="2022-08-04"><day>04</day><month>08</month><year>2022</year></date><date date-type="accepted" iso-8601-date="2023-08-04"><day>04</day><month>08</month><year>2023</year></date></history><pub-history><event><event-desc>This manuscript was published as a preprint at bioRxiv.</event-desc><date date-type="preprint" iso-8601-date="2022-06-14"><day>14</day><month>06</month><year>2022</year></date><self-uri content-type="preprint" xlink:href="https://doi.org/10.1101/2022.06.09.22276188"/></event></pub-history><permissions><copyright-statement>© 2023, Emery et al</copyright-statement><copyright-year>2023</copyright-year><copyright-holder>Emery et al</copyright-holder><ali:free_to_read/><license xlink:href="http://creativecommons.org/licenses/by/4.0/"><ali:license_ref>http://creativecommons.org/licenses/by/4.0/</ali:license_ref><license-p>This article is distributed under the terms of the <ext-link ext-link-type="uri" xlink:href="http://creativecommons.org/licenses/by/4.0/">Creative Commons Attribution License</ext-link>, which permits unrestricted use and redistribution provided that the original author and source are credited.</license-p></license></permissions><self-uri content-type="pdf" xlink:href="elife-82469-v1.pdf"/><abstract><sec id="abs1"><title>Background:</title><p>Individuals with bacteriologically confirmed pulmonary tuberculosis (TB) disease who do not report symptoms (subclinical TB) represent around half of all prevalent cases of TB, yet their contribution to <italic>Mycobacterium tuberculosis</italic> (<italic>Mtb</italic>) transmission is unknown, especially compared to individuals who report symptoms at the time of diagnosis (clinical TB). Relative infectiousness can be approximated by cumulative infections in household contacts, but such data are rare.</p></sec><sec id="abs2"><title>Methods:</title><p>We reviewed the literature to identify studies where surveys of <italic>Mtb</italic> infection were linked to population surveys of TB disease. We collated individual-level data on representative populations for analysis and used literature on the relative durations of subclinical and clinical TB to estimate relative infectiousness through a cumulative hazard model, accounting for sputum-smear status. Relative prevalence of subclinical and clinical disease in high-burden settings was used to estimate the contribution of subclinical TB to global <italic>Mtb</italic> transmission.</p></sec><sec id="abs3"><title>Results:</title><p>We collated data on 414 index cases and 789 household contacts from three prevalence surveys (Bangladesh, the Philippines, and Viet Nam) and one case-finding trial in Viet Nam. The odds ratio for infection in a household with a clinical versus subclinical index case (irrespective of sputum smear status) was 1.2 (0.6–2.3, 95% confidence interval). Adjusting for duration of disease, we found a per-unit-time infectiousness of subclinical TB relative to clinical TB of 1.93 (0.62–6.18, 95% prediction interval [PrI]). Fourteen countries across Asia and Africa provided data on relative prevalence of subclinical and clinical TB, suggesting an estimated 68% (27–92%, 95% PrI) of global transmission is from subclinical TB.</p></sec><sec id="abs4"><title>Conclusions:</title><p>Our results suggest that subclinical TB contributes substantially to transmission and needs to be diagnosed and treated for effective progress towards TB elimination.</p></sec><sec id="abs5"><title>Funding:</title><p>JCE, KCH, ASR, NS, and RH have received funding from the European Research Council (ERC) under the Horizon 2020 research and innovation programme (ERC Starting Grant No. 757699) KCH is also supported by UK FCDO (Leaving no-one behind: transforming gendered pathways to health for TB). This research has been partially funded by UK aid from the UK government (to KCH); however, the views expressed do not necessarily reflect the UK government’s official policies. PJD was supported by a fellowship from the UK Medical Research Council (MR/P022081/1); this UK-funded award is part of the EDCTP2 programme supported by the European Union. RGW is funded by the Wellcome Trust (218261/Z/19/Z), NIH (1R01AI147321-01), EDTCP (RIA208D-2505B), UK MRC (CCF17-7779 via SET Bloomsbury), ESRC (ES/P008011/1), BMGF (OPP1084276, OPP1135288 and INV-001754), and the WHO (2020/985800-0).</p></sec></abstract><kwd-group kwd-group-type="author-keywords"><kwd>asymptomatic tuberculosis</kwd><kwd><italic>Mtb</italic> transmission</kwd><kwd>subclinical transmission</kwd><kwd>asymptomatic transmission</kwd><kwd>mathematical modelling</kwd><kwd>household <italic>Mtb</italic> infection surveys</kwd></kwd-group><kwd-group kwd-group-type="research-organism"><title>Research organism</title><kwd>Human</kwd></kwd-group><funding-group><award-group id="fund1"><funding-source><institution-wrap><institution-id institution-id-type="FundRef">http://dx.doi.org/10.13039/501100000781</institution-id><institution>European Research Council</institution></institution-wrap></funding-source><award-id>ERC Starting Grant No. 757699</award-id><principal-award-recipient><name><surname>Emery</surname><given-names>Jon C</given-names></name><name><surname>Horton</surname><given-names>Katherine C</given-names></name><name><surname>Richards</surname><given-names>Alexandra S</given-names></name><name><surname>Shaikh</surname><given-names>Nabila</given-names></name><name><surname>White</surname><given-names>Richard G</given-names></name></principal-award-recipient></award-group><award-group id="fund2"><funding-source><institution-wrap><institution-id institution-id-type="FundRef">http://dx.doi.org/10.13039/501100020171</institution-id><institution>Foreign, Commonwealth and Development Office</institution></institution-wrap></funding-source><principal-award-recipient><name><surname>Horton</surname><given-names>Katherine C</given-names></name></principal-award-recipient></award-group><award-group id="fund3"><funding-source><institution-wrap><institution-id institution-id-type="FundRef">http://dx.doi.org/10.13039/100013986</institution-id><institution>UK Government</institution></institution-wrap></funding-source><principal-award-recipient><name><surname>Horton</surname><given-names>Katherine C</given-names></name></principal-award-recipient></award-group><award-group id="fund4"><funding-source><institution-wrap><institution-id institution-id-type="FundRef">http://dx.doi.org/10.13039/501100000265</institution-id><institution>UK Medical Research Council</institution></institution-wrap></funding-source><award-id>MR/P022081/1</award-id><principal-award-recipient><name><surname>Dodd</surname><given-names>Peter J</given-names></name></principal-award-recipient></award-group><award-group id="fund5"><funding-source><institution-wrap><institution-id institution-id-type="FundRef">http://doi.org/10.13039/100004440</institution-id><institution>Wellcome Trust</institution></institution-wrap></funding-source><award-id>218261/Z/19/Z</award-id><principal-award-recipient><name><surname>White</surname><given-names>Richard G</given-names></name></principal-award-recipient></award-group><award-group id="fund6"><funding-source><institution-wrap><institution-id institution-id-type="FundRef">http://dx.doi.org/10.13039/100000002</institution-id><institution>National Institutes of Health</institution></institution-wrap></funding-source><award-id>1R01AI147321-01</award-id><principal-award-recipient><name><surname>White</surname><given-names>Richard G</given-names></name></principal-award-recipient></award-group><award-group id="fund7"><funding-source><institution-wrap><institution-id institution-id-type="FundRef">http://dx.doi.org/10.13039/501100001713</institution-id><institution>European and Developing Countries Clinical Trials Partnership</institution></institution-wrap></funding-source><award-id>RIA208D-2505B</award-id><principal-award-recipient><name><surname>White</surname><given-names>Richard G</given-names></name></principal-award-recipient></award-group><award-group id="fund8"><funding-source><institution-wrap><institution-id institution-id-type="FundRef">http://dx.doi.org/10.13039/501100000265</institution-id><institution>UK Medical Research Council</institution></institution-wrap></funding-source><award-id>CCF17-7779</award-id><principal-award-recipient><name><surname>White</surname><given-names>Richard G</given-names></name></principal-award-recipient></award-group><award-group id="fund9"><funding-source><institution-wrap><institution-id institution-id-type="FundRef">http://dx.doi.org/10.13039/501100000269</institution-id><institution>Economic and Social Research Council</institution></institution-wrap></funding-source><award-id>ES/P008011/1</award-id><principal-award-recipient><name><surname>White</surname><given-names>Richard G</given-names></name></principal-award-recipient></award-group><award-group id="fund10"><funding-source><institution-wrap><institution-id institution-id-type="FundRef">http://dx.doi.org/10.13039/100000865</institution-id><institution>Bill &amp; Melinda Gates Foundation</institution></institution-wrap></funding-source><award-id>OPP1084276</award-id><principal-award-recipient><name><surname>White</surname><given-names>Richard G</given-names></name></principal-award-recipient></award-group><award-group id="fund11"><funding-source><institution-wrap><institution-id institution-id-type="FundRef">http://dx.doi.org/10.13039/100000865</institution-id><institution>Bill &amp; Melinda Gates Foundation</institution></institution-wrap></funding-source><award-id>OPP1135288</award-id><principal-award-recipient><name><surname>White</surname><given-names>Richard G</given-names></name></principal-award-recipient></award-group><award-group id="fund12"><funding-source><institution-wrap><institution-id institution-id-type="FundRef">http://dx.doi.org/10.13039/100000865</institution-id><institution>Bill &amp; Melinda Gates Foundation</institution></institution-wrap></funding-source><award-id>INV-001754</award-id><principal-award-recipient><name><surname>White</surname><given-names>Richard G</given-names></name></principal-award-recipient></award-group><award-group id="fund13"><funding-source><institution-wrap><institution-id institution-id-type="FundRef">http://dx.doi.org/10.13039/100004423</institution-id><institution>World Health Organization</institution></institution-wrap></funding-source><award-id>2020/985800-0</award-id><principal-award-recipient><name><surname>White</surname><given-names>Richard G</given-names></name></principal-award-recipient></award-group><funding-statement>The funders had no role in study design, data collection and interpretation, or the decision to submit the work for publication. For the purpose of Open Access, the authors have applied a CC BY public copyright license to any Author Accepted Manuscript version arising from this submission.</funding-statement></funding-group><custom-meta-group><custom-meta specific-use="meta-only"><meta-name>Author impact statement</meta-name><meta-value>Data analysis and mathematical modelling suggest that subclinical tuberculosis contributes substantially to transmission and needs to be diagnosed and treated for effective progress towards tuberculosis elimination.</meta-value></custom-meta></custom-meta-group></article-meta></front><body><sec id="s1" sec-type="intro"><title>Introduction</title><p>An estimated 1.5 million people died from tuberculosis (TB) disease in 2020, and TB is on course to retake its position as the largest cause of death by a single infectious agent (<xref ref-type="bibr" rid="bib74">World Health Organisation, 2021</xref>). Fuelled by ongoing transmission through exhaled or expectorated <italic>Mycobacterium tuberculosis</italic> (<italic>Mtb</italic>) bacteria, TB incidence is declining at a rate of 1–2% per annum, which is too slow given the risk and scale of mortality (<xref ref-type="bibr" rid="bib74">World Health Organisation, 2021</xref>; <xref ref-type="bibr" rid="bib56">Ragonnet et al., 2021</xref>), lifelong impairment (<xref ref-type="bibr" rid="bib14">Dodd et al., 2021</xref>; <xref ref-type="bibr" rid="bib1">Alene et al., 2021</xref>), poverty (<xref ref-type="bibr" rid="bib55">Pedrazzoli et al., 2021</xref>), and macroeconomic consequences (<xref ref-type="bibr" rid="bib61">Silva et al., 2021</xref>). Problematically, most <italic>Mtb</italic> transmission in high-incidence settings remains unaccounted for (<xref ref-type="bibr" rid="bib14">Dodd et al., 2021</xref>), with less than 1-in-10 occurrences of TB explained by transmission from a known contact (<xref ref-type="bibr" rid="bib22">Glynn et al., 2015</xref>).</p><p>In recent decades the prevailing paradigm in TB policy held that symptoms and infectiousness commence simultaneously as part of ‘active disease’ (<xref ref-type="bibr" rid="bib76">World Health Organization, 2020</xref>; <xref ref-type="bibr" rid="bib72">World Health Organisation, 1974</xref>; <xref ref-type="bibr" rid="bib28">Houben et al., 2019</xref>). As a consequence, a policy of passive case-finding (<xref ref-type="bibr" rid="bib24">Golub et al., 2005</xref>), in which individuals are expected to attend a health facility with TB-related symptoms before receiving diagnosis and treatment, was relied upon to prevent deaths from TB, which it has (<xref ref-type="bibr" rid="bib74">World Health Organisation, 2021</xref>; <xref ref-type="bibr" rid="bib39">Mandal et al., 2017</xref>), and reduce incidence by interrupting transmission, which it has not (<xref ref-type="bibr" rid="bib74">World Health Organisation, 2021</xref>).</p><p>Over the last decade, this classic paradigm of TB has been increasingly challenged (<xref ref-type="bibr" rid="bib6">Barry et al., 2009</xref>; <xref ref-type="bibr" rid="bib16">Drain et al., 2018</xref>; <xref ref-type="bibr" rid="bib8">Behr et al., 2018</xref>). One important advance has been the finding in population surveys that not all individuals identified with bacteriologically confirmed TB report having symptoms such as cough at the time of screening for TB (<xref ref-type="bibr" rid="bib53">Onozaki et al., 2015</xref>; <xref ref-type="bibr" rid="bib35">Law et al., 2020</xref>). As such we can make a distinction between clinical and subclinical TB, where subclinical TB (sometimes referred to as ‘asymptomatic’ [<xref ref-type="bibr" rid="bib21">Frascella et al., 2021</xref>] or ‘early’ TB [<xref ref-type="bibr" rid="bib31">Kendall et al., 2021</xref>]) refers to individuals who have detectable <italic>Mtb</italic> bacteria in their sputum but do not experience, are not aware of, or do not report symptoms (<xref ref-type="bibr" rid="bib28">Houben et al., 2019</xref>). In contrast, individuals with clinical TB disease report symptoms. We distinguish both disease states from <italic>Mtb</italic> infection, whereby individuals may test positive on a tuberculin skin test (TST) or interferon-gamma release assay (IGRA) but do not have bacteriologically confirmed disease.</p><p>Empirical data have shown that bacteriological state (i.e. whether <italic>Mtb</italic> is detectable in pulmonary secretions) is a strong predictor of the potential for transmission. For example, molecular epidemiological studies show that sputum smear-positive individuals (i.e. <italic>Mtb</italic> detected via microscopy) are 3–6 times more likely to be sources for TB disease in contacts compared to smear-negative individuals (<xref ref-type="bibr" rid="bib7">Behr et al., 1999</xref>; <xref ref-type="bibr" rid="bib26">Hernández-Garduño et al., 2004</xref>; <xref ref-type="bibr" rid="bib67">Tostmann et al., 2008</xref>). Surveys of <italic>Mtb</italic> infection prevalence in household contacts provide similar values (<xref ref-type="bibr" rid="bib25">Grzybowski et al., 1975</xref>). These studies focussed on passively diagnosed individuals with clinical disease. It is, however, increasingly clear that the presence of respiratory symptoms, such as a persistent cough, is not required for the exhalation of potentially <italic>Mtb</italic>-containing aerosols (<xref ref-type="bibr" rid="bib54">Patterson and Wood, 2019</xref>; <xref ref-type="bibr" rid="bib4">Asadi et al., 2019</xref>; <xref ref-type="bibr" rid="bib36">Leung et al., 2020</xref>; <xref ref-type="bibr" rid="bib13">Dinkele et al., 2022</xref>). Indeed, whilst recent empirical studies have suggested that tidal breathing may contribute significantly to <italic>Mtb</italic> transmission (<xref ref-type="bibr" rid="bib13">Dinkele et al., 2022</xref>), exhalation of infectious aerosols appears unrelated to the presence of symptoms (<xref ref-type="bibr" rid="bib66">Theron et al., 2020</xref>) or cough frequency (<xref ref-type="bibr" rid="bib71">Williams et al., 2020</xref>) in TB patients. This supports the hypothesis that subclinical disease can contribute, potentially substantially, to transmission (<xref ref-type="bibr" rid="bib28">Houben et al., 2019</xref>; <xref ref-type="bibr" rid="bib31">Kendall et al., 2021</xref>; <xref ref-type="bibr" rid="bib15">Dowdy et al., 2013</xref>).</p><p>A recent review found that about half of prevalent bacteriologically confirmed pulmonary TB disease is subclinical (<xref ref-type="bibr" rid="bib21">Frascella et al., 2021</xref>) and it is becoming increasingly apparent that subclinical TB can persist for a long period without progressing to clinical disease (<xref ref-type="bibr" rid="bib58">Richards et al., 2021</xref>; <xref ref-type="bibr" rid="bib33">Ku et al., 2021</xref>). As individuals with subclinical TB will not be identified by current passive case-finding strategies, they will continue to contact susceptible individuals and, if infectious, transmit throughout their subclinical phase. It is therefore possible that those with subclinical TB may be a major contributor to ongoing, and unaccounted for, <italic>Mtb</italic> transmission. If this is the case, and if the ambitious goal to end TB as a global health problem by 2035 is to be met (<xref ref-type="bibr" rid="bib75">World Health Organisation, 2022</xref>), TB policy needs to shift away from solely focussing on symptom-dependent case-finding (e.g. patient-initiated passive case-finding) towards strategies that are symptom-independent.</p><p>To motivate and inform such a shift in research and policy priorities, two key questions that to date remain unanswered must be addressed. Firstly, how infectious are individuals with subclinical TB compared to those with clinical TB per unit time, and, secondly, what is their contribution to overall transmission in the current TB epidemic?</p><p>In TB, data sources on the transmission potential from sputum smear-negative individuals relative to smear-positive (e.g. molecular epidemiological studies; <xref ref-type="bibr" rid="bib7">Behr et al., 1999</xref>; <xref ref-type="bibr" rid="bib26">Hernández-Garduño et al., 2004</xref>; <xref ref-type="bibr" rid="bib67">Tostmann et al., 2008</xref>) have often been directly interpreted as relative infectiousness, which is incorrect (<xref ref-type="bibr" rid="bib30">Kendall, 2021</xref>). Instead of representing the metric of interest, which is the potential for transmission per unit time for a particular group relative to a reference group (i.e. relative infectiousness), these data actually provided a relative estimate of cumulative exposure (as acknowledged by these studies’ authors; <xref ref-type="bibr" rid="bib7">Behr et al., 1999</xref>; <xref ref-type="bibr" rid="bib26">Hernández-Garduño et al., 2004</xref>; <xref ref-type="bibr" rid="bib67">Tostmann et al., 2008</xref>). Cumulative exposure is a composite of relative infectiousness per unit time and disease duration (technically duration of infectiousness), which until now have been unavailable and can be hard to disentangle from each other (<xref ref-type="bibr" rid="bib30">Kendall, 2021</xref>).</p><p>In this work we look to overcome these challenges by harnessing increased understanding of the natural history and prevalence of subclinical TB and re-analysing data from existing population studies.</p></sec><sec id="s2" sec-type="methods"><title>Methods</title><sec id="s2-1"><title>Data</title><p>To estimate the infectiousness of subclinical TB relative to clinical TB, we considered studies in which <italic>Mtb</italic> infection surveys were performed amongst household contacts of culture and/or nucleic acid amplification test (NAAT) confirmed cases where data on their symptom and sputum smear status at the time of diagnosis was available. We considered only studies in which households with no index case were also surveyed for <italic>Mtb</italic> infection as a measure of the background rate of infection.</p><p>Such studies identified index cases using symptom-independent screening either via a TB prevalence survey (in which all individuals are screened with a chest X-ray; <xref ref-type="bibr" rid="bib73">World Health Organisation, 2011</xref>) or community-wide active case-finding amongst a representative sample of a target population. Subclinical and clinical index cases were defined as being culture and/or NAAT-positive and responding negatively or positively to an initial symptom screening, respectively. Households with a single subclinical or clinical index case were defined as subclinical and clinical households, respectively. Such households were then stratified by the sputum smear status of the index case at the time of diagnosis. Background households were defined as having no index case. Finally, <italic>Mtb</italic> infection surveys were performed amongst all households, providing the prevalence of infection amongst each household type.</p><p>We reviewed the literature for household contact studies that measure <italic>Mtb</italic> infection via TST or IGRA as an outcome and provide sufficient information to stratify households by symptom and sputum smear status, including households with no index case (see Appendix 1 for the detailed search strategy). Individual, patient-level data from each of these studies were analysed to provide the prevalence of infection amongst each household type (see Appendix 1 for detailed data analysis). These data are presented in <xref ref-type="table" rid="app1table1">Appendix 1—table 1</xref>. Odds ratios (ORs) for infection in members of a household with a sputum smear-positive versus a smear-negative index case (irrespective of symptoms) and in members of a household with a clinical versus subclinical index case (irrespective of sputum smear status) were also calculated for purposes of illustration.</p></sec><sec id="s2-2"><title>Cumulative hazard model</title><p>To estimate the infectiousness of subclinical TB per unit time relative to clinical TB, we fitted a cumulative hazard model of infection to the prevalence of infection amongst each household type for each study separately using the data described above.</p><p>For each study, household contacts were pooled into five cohorts: background; subclinical and sputum smear-negative; subclinical and sputum smear-positive; clinical and sputum smear-negative; clinical and sputum smear-positive. It was assumed that each cohort is exposed to the same background hazard, reflecting the force of infection from outside the household. It was then assumed that all cohorts except the background were exposed to an additional hazard, reflecting the force of infection from the cohort’s respective index cases.</p><p>The final prevalence of infection in each cohort will then depend on the background cumulative hazard <italic>Λ<sub>B</sub></italic> and an additional cumulative hazard <italic>Λ<sub>I</sub></italic> specific to each household type <italic>I</italic> (see Appendix 1 for model equations). We use the cumulative hazard from clinical (<italic>C</italic>), smear-positive (+) index cases as a benchmark with which to define the cumulative hazards from the remaining index case types. We assume that being subclinical (<italic>S</italic>) or smear-negative (<italic>-</italic>) have separate, multiplicative effects, such that<disp-formula id="equ1"><mml:math id="m1"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Λ</mml:mi><mml:mrow><mml:mi>C</mml:mi><mml:mo>−</mml:mo></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>r</mml:mi><mml:mrow><mml:mo>−</mml:mo></mml:mrow></mml:msub><mml:msub><mml:mi mathvariant="normal">Λ</mml:mi><mml:mrow><mml:mi>C</mml:mi><mml:mo>+</mml:mo></mml:mrow></mml:msub><mml:mo>,</mml:mo><mml:mtext> </mml:mtext><mml:msub><mml:mi mathvariant="normal">Λ</mml:mi><mml:mrow><mml:mi>S</mml:mi><mml:mo>+</mml:mo></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>r</mml:mi><mml:mrow><mml:mi>s</mml:mi></mml:mrow></mml:msub><mml:msub><mml:mi mathvariant="normal">Λ</mml:mi><mml:mrow><mml:mi>C</mml:mi><mml:mo>+</mml:mo></mml:mrow></mml:msub><mml:mo>,</mml:mo><mml:mtext> </mml:mtext><mml:msub><mml:mi mathvariant="normal">Λ</mml:mi><mml:mrow><mml:mi>S</mml:mi><mml:mo>−</mml:mo></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>r</mml:mi><mml:mrow><mml:mo>−</mml:mo></mml:mrow></mml:msub><mml:msub><mml:mi>r</mml:mi><mml:mrow><mml:mi>s</mml:mi></mml:mrow></mml:msub><mml:msub><mml:mi mathvariant="normal">Λ</mml:mi><mml:mrow><mml:mi>C</mml:mi><mml:mo>+</mml:mo></mml:mrow></mml:msub><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula></p><p>where <italic>r<sub>s</sub></italic> and <italic>r</italic><sub>-</sub> are the subclinical and sputum smear-negative relative cumulative hazards, respectively.</p><sec id="s2-2-1"><title>Model fitting</title><p>The model described above was fitted to the prevalence of infection in each of the five household types for each study separately. Fitting was performed in a Bayesian framework using Markov-Chain Monte Carlo methods (see Appendix 1 for further details of model fitting). We report median and 95% equal-tailed posterior intervals (PoIs).</p></sec><sec id="s2-2-2"><title>Relative infectiousness of subclinical TB</title><p>To infer the infectiousness of subclinical TB per unit time relative to clinical TB from our posterior estimate for the subclinical relative cumulative hazard <italic>r<sub>s</sub></italic>, we note that, assuming constant hazards, the relative cumulative hazards from index cases will depend on the product of the relative per unit time infectiousness and relative durations of infectiousness. We assume that per unit time infectiousness depends on symptom status and sputum smear status, whilst durations of infectiousness depend on symptom status only. It follows then that:<disp-formula id="equ2"><mml:math id="m2"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mi>s</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>α</mml:mi><mml:mi>s</mml:mi></mml:msub><mml:msub><mml:mi>γ</mml:mi><mml:mi>s</mml:mi></mml:msub><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula><disp-formula id="equ3"><mml:math id="m3"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mrow><mml:mo>−</mml:mo></mml:mrow></mml:msub><mml:mtext> </mml:mtext><mml:mo>=</mml:mo><mml:msub><mml:mi>α</mml:mi><mml:mrow><mml:mo>−</mml:mo></mml:mrow></mml:msub><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula></p><p>where <italic>α<sub>s</sub></italic> and <italic>α<sub>-</sub></italic> are the per unit time infectiousness of subclinical relative to clinical index cases and sputum smear-negative relative to smear-positive index cases, respectively, and <italic>γ<sub>s</sub></italic> is the duration of infectiousness for subclinical relative to clinical index cases.</p><p>To provide a value for the duration of infectiousness of subclinical relative to clinical index cases, we used the results from a recent study that estimated the durations of subclinical and clinical TB using a Bayesian analysis of prevalence and notification data (<xref ref-type="bibr" rid="bib33">Ku et al., 2021</xref>). With the result that the subclinical phase represented between 27% and 63% of the time as a prevalent case, we used a duration of subclinical TB relative to clinical TB of 0.8 (0.4–1.7, 95% PoI). We assumed that there was no difference in duration for sputum smear-negative versus smear-positive TB.</p><p>Finally, we sampled from the posterior estimate for the subclinical relative cumulative hazard and an assumed duration of disease for subclinical index cases relative to clinical index cases, providing a median and 95% equal-tailed posterior estimate for the relative infectiousness of subclinical index cases relative to clinical index cases for each study separately. Thereafter we provide a summary estimate by mixed-effects meta-analysing the individual estimates across the separate studies. Analogous results are presented for the relative infectiousness per unit time of sputum smear-negative TB relative to smear-positive TB.</p></sec></sec><sec id="s2-3"><title>Subclinical versus clinical TB: Prevalence and bacteriological indicators</title><p>To estimate the proportion of overall transmission from subclinical TB, we first estimated the proportion of prevalent TB that is subclinical as well as the proportion of prevalent subclinical and clinical TB that is smear-positive.</p><p>We began with a recent review of TB prevalence surveys in Asia and Africa (<xref ref-type="bibr" rid="bib21">Frascella et al., 2021</xref>) (see Appendix 1 for details of the search strategy). Such surveys generally performed an initial screening using both a questionnaire, which includes questions about recent symptoms typical of TB, as well a chest radiograph. Those screening positive from either method were then tested via culture and/or NAAT. A sputum smear test was often additionally performed.</p><p>We reviewed the surveys in <xref ref-type="bibr" rid="bib21">Frascella et al., 2021</xref> and, for each survey where sufficient information was available, extracted the number of culture and/or NAAT confirmed cases of TB, stratified by both symptom status at initial screening and sputum smear status (see Appendix 1 for detailed data analysis). Extracted data can be found in <xref ref-type="table" rid="app1table2">Appendix 1—table 2</xref>. We defined subclinical and clinical TB as being culture and/or NAAT-positive and responding negatively or positively to an initial symptom screen, respectively, consistent with the definitions for subclinical and clinical index cases in the previous section. The most common screening question was a productive cough of greater than 2-week duration, although other diagnostic algorithms were included.</p><p>For each survey, we calculated the proportion of prevalent TB that is subclinical (<italic>P<sup>S</sup><sub>TB</sub></italic>) as well as the proportion of prevalent subclinical and clinical TB that is smear-positive (<italic>P<sup>+</sup><sub>S</sub></italic> and <italic>P<sup>+</sup><sub>C</sub></italic>, respectively).</p><p>We performed univariate, random-effects meta-analyses on <italic>P<sup>S</sup><sub>TB</sub>, P<sup>+</sup><sub>S</sub></italic> and <italic>P<sup>+</sup><sub>C</sub>.</italic> We meta-analysed the inverse logit transformed variables, before transforming the results back to proportions and presenting a central estimate and 95% prediction interval for each variable.</p></sec><sec id="s2-4"><title>The contribution of subclinical TB to transmission</title><p>To estimate the contribution of subclinical TB to transmission, we applied our estimates of relative infectiousness to the prevalence surveys that reported the required data by symptom and smear status (see Appendix 1 for further details).</p><p>All analyses were conducted using R version 4.0.3 (<xref ref-type="bibr" rid="bib57">R Development Core Team, 2014</xref>). Bayesian fitting was performed in Stan version 2.21.0 (<xref ref-type="bibr" rid="bib64">Stan Development Team, 2021</xref>) using RStan (<xref ref-type="bibr" rid="bib63">Stan Development Team, 2020</xref>) as an interface.</p><p>No new human subject data was collected for this work, which re-analysed individual patient data collected during four observational studies in three countries. Procedures, including consent where available, are described in the original publications. Local and institutional Ethics Approval was in place for each survey, through the Department of Health (the Philippines survey; <xref ref-type="bibr" rid="bib68">Tupasi et al., 1999</xref>), Institutional Review Board of the Viet Nam National Lung Hospital (Viet Nam survey; <xref ref-type="bibr" rid="bib27">Hoa et al., 2010</xref>), the Ministry of Health and Family Welfare of Bangladesh as well as the Research Review Committee and Ethics Review Committee of the iccdr,b (Bangladesh survey; <xref ref-type="bibr" rid="bib80">Zaman et al., 2012</xref>), and Institutional Review Board of the Viet Nam National Lung Hospital as well as Human Research Ethics Committee of the University of Sydney (ACT3 survey; <xref ref-type="bibr" rid="bib40">Marks et al., 2019</xref>). The ethics committee of the London School of Hygiene and Tropical Medicine gave ethical approval for this project (#16396).</p></sec><sec id="s2-5"><title>Sensitivity analyses</title><sec id="s2-5-1"><title>Sensitivity analysis 1</title><p>Given the different designs of the Bangladesh (2007) prevalence survey (<xref ref-type="bibr" rid="bib80">Zaman et al., 2012</xref>) (which provided only sputum smear-positive index cases) and the active case-finding trial in Viet Nam (2017) (<xref ref-type="bibr" rid="bib40">Marks et al., 2019</xref>) (which provided index cases via repeated case-finding-related screening and prevalence surveys), the above analysis was repeated omitting these studies.</p></sec><sec id="s2-5-2"><title>Sensitivity analysis 2</title><p>As a sensitivity the above analysis was repeated with an alternative estimate for the relative duration of subclinical TB versus clinical TB using instead data from a recent systematic review and data synthesis study (<xref ref-type="bibr" rid="bib58">Richards et al., 2021</xref>) and a simple competing risk model (see Appendix 1 for further details).</p></sec><sec id="s2-5-3"><title>Sensitivity analysis 3</title><p>To explore the impact of a differential background risk of infection amongst households with and without index cases, the analysis was repeated assuming a 50% increase in the background risk of infection for those households with an index case.</p></sec><sec id="s2-5-4"><title>Sensitivity analysis 4</title><p>Instead of assuming equal durations for sputum smear-positive and smear-negative TB, the above analysis was repeated assuming that sputum smear-positive TB has twice the duration of smear-negative TB.</p></sec><sec id="s2-5-5"><title>Sensitivity analysis 5</title><p>In the main analysis, each study was modelled separately, with the results combined using meta-analyses. As a sensitivity we model all studies simultaneously, assuming local background risks of infection for each study and global values across all studies for the remaining cumulative hazards.</p></sec></sec></sec><sec id="s3" sec-type="results"><title>Results</title><sec id="s3-1"><title>Data</title><p>Four studies were included for analysis: three prevalence surveys of TB disease with associated <italic>Mtb</italic> infection surveys in Viet Nam (2007) (<xref ref-type="bibr" rid="bib27">Hoa et al., 2010</xref>), Bangladesh (2007) (<xref ref-type="bibr" rid="bib80">Zaman et al., 2012</xref>), and the Philippines (1997) (<xref ref-type="bibr" rid="bib68">Tupasi et al., 1999</xref>) and a community-wide active case-finding trial in Viet Nam (2017) (<xref ref-type="bibr" rid="bib40">Marks et al., 2019</xref>).</p><p>ORs for infection in members of a household with a clinical versus subclinical index case (irrespective of sputum smear status), based on the result of their symptom screen at the time of diagnosis, are shown in <xref ref-type="fig" rid="fig1">Figure 1A</xref>. A mixed-effects meta-analysis across studies provides OR = 1.2 (0.6–2.3, 95% confidence interval [CI]). <xref ref-type="fig" rid="fig1">Figure 1B</xref> shows the OR for infection in members of a household with a sputum smear-positive versus a smear-negative index case (irrespective of symptoms), where the Bangladesh prevalence survey is omitted as this study only included smear-positive individuals. In contrast to the analysis by symptom status, evidence for a difference in cumulative infection was found by smear status, with OR = 2.3 (1.3–3.9, 95% CI), which is in line with previous estimates (<xref ref-type="bibr" rid="bib25">Grzybowski et al., 1975</xref>).</p><fig id="fig1" position="float"><label>Figure 1.</label><caption><title>Odds ratios for infection in members of a household with a clinical versus a subclinical index case (irrespective of sputum smear-status) (<bold>A</bold>) and in members of a household with a sputum smear-positive versus a smear-negative index case (irrespective of symptoms) (<bold>B</bold>).</title><p>Illustrated are central estimates and 95% confidence intervals for each study separately and the results of a mixed-effects meta-analysis. Results for sputum smear status are omitted for Bangladesh as the survey considered only sputum smear-positive individuals.</p></caption><graphic mimetype="image" mime-subtype="tiff" xlink:href="elife-82469-fig1-v1.tif"/></fig></sec><sec id="s3-2"><title>Estimating the relative infectiousness of subclinical TB</title><p>The estimated infectiousness of subclinical TB per unit time relative to clinical TB is shown in <xref ref-type="fig" rid="fig2">Figure 2A</xref>, both for each study separately as well as the mixed-effects meta-analysed result across studies of 1.93 (0.62–6.18, 95% prediction interval [PrI]). <xref ref-type="fig" rid="fig2">Figure 2B</xref> shows the analogous results for the infectiousness per unit time of sputum smear-negative versus smear-positive TB, with a summary value of 0.26 (0.03–2.47, 95% PrI). Detailed model results are shown in <xref ref-type="table" rid="app1table4">Appendix 1—table 4</xref> and <xref ref-type="fig" rid="app1fig2">Appendix 1—figures 2</xref>–<xref ref-type="fig" rid="app1fig5">5</xref>.</p><fig id="fig2" position="float"><label>Figure 2.</label><caption><title>The estimated infectiousness of subclinical tuberculosis (TB) per unit time relative to clinical TB (<bold>A</bold>) and sputum smear-negative TB relative to smear-positive TB (<bold>B</bold>).</title><p>Illustrated are the median and 95% confidence intervals for each study separately and the median and 95% prediction interval results from mixed-effects meta-analyses across studies with an associated measure of heterogeneity (I<sup>2</sup>).</p></caption><graphic mimetype="image" mime-subtype="tiff" xlink:href="elife-82469-fig2-v1.tif"/></fig></sec><sec id="s3-3"><title>Prevalence and bacteriological indicators for subclinical and clinical TB</title><p>Data from 15 prevalence surveys where the proportion of subclinical and clinical TB was reported by sputum smear status were included, detailed in <xref ref-type="table" rid="app1table2">Appendix 1—table 2</xref>. These represented a range of high TB burden countries in Africa (n = 5) and Asia (n = 9, with two surveys in Viet Nam). In this subset, the overall proportion of prevalent TB that is subclinical was 58% (29–82%, 95% PrI), whilst the proportion smear-positive was 33% (18–52%, 95% PrI) for subclinical TB and 53% (25–80%, 95% PrI) for clinical TB. Detailed results for each variable are shown in <xref ref-type="fig" rid="fig3">Figure 3A–C</xref>.</p><fig id="fig3" position="float"><label>Figure 3.</label><caption><title>The proportion of prevalent tuberculosis (TB) that is subclinical (<bold>A</bold>), the proportion of subclinical TB that is smear-positive (<bold>B</bold>), and the proportion of clinical TB that is smear-positive (<bold>C</bold>) using data from prevalence surveys in Africa (red) and Asia (teal).</title><p>Illustrated are median and 95% confidence intervals for each study separately and the median and 95% prediction intervals from mixed-effects meta-analyses across studies with an associated measure of heterogeneity (I<sup>2</sup>). Also shown is the estimated proportion of transmission from subclinical TB at the time of and in the location of each of the prevalence surveys in Africa and Asia (<bold>D</bold>). Illustrated is the median and 95% prediction intervals for each study separately as well as the global value. DPR = Democratic People’s Republic; PDR = People’s Democratic Republic.</p></caption><graphic mimetype="image" mime-subtype="tiff" xlink:href="elife-82469-fig3-v1.tif"/></fig></sec><sec id="s3-4"><title>The contribution of subclinical TB to transmission: Global and country levels</title><p>We quantified the contribution of subclinical TB to ongoing <italic>Mtb</italic> transmission by combining the estimates for the infectiousness of subclinical TB per unit time relative to clinical TB (<xref ref-type="fig" rid="fig2">Figure 2A</xref>), the infectiousness of sputum smear-negative TB relative to smear-positive TB (<xref ref-type="fig" rid="fig2">Figure 2B</xref>), and the proportion of prevalent TB that is subclinical and the proportion of subclinical and clinical TB that is sputum smear-positive (<xref ref-type="fig" rid="fig3">Figure 3A–C</xref>). The 14 included countries are a reasonable reflection of the geography and epidemiological characteristics of high TB burden countries in the WHO African, South-East Asia, and Western Pacific regions, which together represent around 85% of current global TB incidence (<xref ref-type="bibr" rid="bib74">World Health Organisation, 2021</xref>). As such we used a summary value for the included surveys as a global estimate.</p><p><xref ref-type="fig" rid="fig3">Figure 3D</xref> shows the results by country and globally, where 68% (27–92%, 95% PrI) of global <italic>Mtb</italic> transmission is estimated to come from prevalent subclinical TB, ranging from 45% (19–76%, 95% PrI) in Nigeria to 84% (60–95%, 95% PrI) in Mongolia.</p></sec><sec id="s3-5"><title>Sensitivity analyses</title><sec id="s3-5-1"><title>Sensitivity analysis 1</title><p>The above analysis was repeated excluding two studies with methodologies that differed from the remaining two: the Bangladesh (2007) prevalence survey (<xref ref-type="bibr" rid="bib80">Zaman et al., 2012</xref>) (which provided sputum smear-positive index cases only) and the active case-finding trial in Viet Nam (ACT3 [2017]) (<xref ref-type="bibr" rid="bib40">Marks et al., 2019</xref>) (which provided index cases via repeated screening related to case-finding as well as prevalence surveys). Affected results are shown in <xref ref-type="fig" rid="app1fig6">Appendix 1—figure 6</xref>. The infectiousness of subclinical TB per unit time relative to clinical TB decreased to 1.39 (0.17–11.2, 95% PrI), and the infectiousness of sputum smear-negative TB relative to smear-positive TB decreased to 0.12 (0.03–0.53, 95% PrI), with corresponding values of 57% (10–94%, 95% PrI) of global transmission from subclinical TB, ranging from 34% (6–81%, 95% PrI) in Nigeria to 76% (28–97%, 95% PrI) in Mongolia.</p></sec><sec id="s3-5-2"><title>Sensitivity analysis 2</title><p>The above analysis was repeated using an alternative estimate for the relative duration of subclinical TB versus clinical TB of 0.72 (0.60–0.89, 95% PoI), from <xref ref-type="bibr" rid="bib58">Richards et al., 2021</xref>. Affected results are shown in <xref ref-type="fig" rid="app1fig7">Appendix 1—figure 7</xref>. The infectiousness of subclinical TB per unit time relative to clinical TB increased to 2.19 (0.91–5.26, 95% PrI), with corresponding values of 71% (32–92%, 95% PrI) of global transmission from subclinical TB, ranging from 48% (25–74%, 95% PrI) in Nigeria to 86% (68–95%, 95% PrI) in Mongolia.</p></sec><sec id="s3-5-3"><title>Sensitivity analysis 3</title><p>The above analysis was repeated assuming that households with an index case have a 50% greater background risk of infection than households with no index case. Affected results are shown in <xref ref-type="fig" rid="app1fig8">Appendix 1—figure 8</xref>. The infectiousness of subclinical TB per unit time relative to clinical TB increased to 2.44 (0.60–10.06, 95% PrI) whilst the infectiousness of sputum smear-negative TB relative to smear-positive TB increased to 0.36 (0.03–4.51, 95% PrI), with corresponding values of 74% (29–95%, 95% PrI) of global transmission from subclinical TB, ranging from 53% (20–85%, 95% PrI) in Nigeria to 88% (61–97%, 95% PrI) in Mongolia.</p></sec><sec id="s3-5-4"><title>Sensitivity analysis 4</title><p>The above analysis was repeated assuming sputum smear-positive TB has twice the duration of smear-negative TB. Affected results are shown in <xref ref-type="fig" rid="app1fig9">Appendix 1—figure 9</xref>. The infectiousness of subclinical TB per unit time relative to clinical TB was largely unchanged at 1.94 (0.63–6.16, 95% PrI) whilst the infectiousness of sputum smear-negative TB relative to smear-positive TB increased to 0.51 (0.06–4.39, 95% PrI), with corresponding values of 70% (29–93%, 95% PrI) of global transmission from subclinical TB, ranging from 49% (21–79%, 95% PrI) in Nigeria to 86% (63–96%, 95% PrI) in Mongolia.</p></sec><sec id="s3-5-5"><title>Sensitivity analysis 5</title><p>The above analysis was repeated with all studies modelled simultaneously, assuming local background risks of infection for each study and global values across all studies for the remaining cumulative hazards. Affected results are shown in <xref ref-type="fig" rid="app1fig10">Appendix 1—figure 10</xref>. The infectiousness of subclinical TB per unit time relative to clinical TB decreased to 1.39 (0.50–4.02, 95% PrI) whilst the infectiousness of sputum smear-negative TB relative to smear-positive TB decreased to 0.11 (0.02–0.68, 95% PrI), with corresponding values of 58% (20–88%, 95% PrI) of global transmission from subclinical TB, ranging from 34% (15–62%, 95% PrI) in Nigeria to 76% (52–91%, 95% PrI) in Mongolia.</p></sec></sec></sec><sec id="s4" sec-type="discussion"><title>Discussion</title><p>By fitting a cumulative hazard model of infection to prevalence data amongst household contacts of subclinical and clinical index cases, we were able to provide quantitative estimates for the relative infectiousness per unit time of subclinical TB and its contribution to ongoing <italic>Mtb</italic> transmission. Despite wide uncertainty intervals, the raw data, as well as the results of our analysis, do not suggest subclinical TB is substantially less infectious than clinical TB. Given the high prevalence of subclinical TB found in surveys (<xref ref-type="bibr" rid="bib21">Frascella et al., 2021</xref>), it is therefore likely that subclinical TB contributes substantially to ongoing <italic>Mtb</italic> transmission in high-burden settings.</p><p>Our results were relatively robust to the sensitivities that were performed. In two cases, that is, the removal of two studies (sensitivity analysis 1) and the use of a single model to account for all studies (sensitivity analysis 5), our estimates for the relative infectiousness of subclinical TB relative to clinical TB and the proportion of transmission from subclinical TB were lower than in the primary analysis. Our qualitative results and conclusions remain unchanged however. All other sensitivities resulted in higher estimates.</p><p>There are no other estimates for the infectiousness of subclinical TB relative to clinical TB in the literature with which to compare our results. Using data from the 2007 Viet Nam prevalence survey, however, <xref ref-type="bibr" rid="bib52">Nguyen et al., 2023</xref> find that among children aged 6–10 years, those living with clinical, smear-positive TB, and those living with subclinical, smear-positive TB had similarly increased risks of TST positivity compared with those living without TB. Moreover, a recent small study from Uganda found no evidence of a difference in cumulative infection rates in household contacts of patients who did or did not report symptoms (<xref ref-type="bibr" rid="bib5">Baik et al., 2021</xref>). Our results are also in keeping with recent results from whole-genome sequencing (<xref ref-type="bibr" rid="bib78">Xu et al., 2019</xref>) in which 36% of individuals likely transmitted <italic>Mtb</italic> before symptom onset, assuming a linear SNP mutation rate. We also note that previous hypothetical modelling of subclinical TB used assumed values for relative infectiousness that are in keeping with our estimated range (<xref ref-type="bibr" rid="bib15">Dowdy et al., 2013</xref>; <xref ref-type="bibr" rid="bib3">Arinaminpathy and Dowdy, 2015</xref>). More broadly, recent work on SARS-CoV-2 and malaria has similarly shown how ‘asymptomatic’ or ‘subpatent’ infections can be important drivers of transmission (<xref ref-type="bibr" rid="bib62">Slater et al., 2019</xref>; <xref ref-type="bibr" rid="bib17">Emery et al., 2020</xref>; <xref ref-type="bibr" rid="bib29">Johansson et al., 2021</xref>), meaning a role for asymptomatic transmission would not be unique to TB.</p><p>Whilst we have presented a novel approach to investigating transmission from individuals with subclinical TB using pre-existing data, limitations in our methodology remain. Identifying relative infectiousness is challenging. Our estimates rely on studies which screened a minimum of 252,000 individuals for bacteriologically confirmed TB disease and 63,000 individuals for <italic>Mtb</italic> infection. Even at this scale, the small number of studies and diagnosed cases of TB still leads to substantial uncertainty, highlighting the challenge faced by single studies to estimate such values (<xref ref-type="bibr" rid="bib40">Marks et al., 2019</xref>; <xref ref-type="bibr" rid="bib5">Baik et al., 2021</xref>). Indeed, the paucity of the data provides an estimate that is consistent with subclinical TB being more infectious than clinical TB. Whilst we consider this to be implausible, we have avoided introducing priors that rule out this possibility. Instead we would emphasise that our results reflect the uncertainty of the data. The lower bound of our estimate precludes subclinical TB being significantly less infectious than clinical TB, while there is no evidence against subclinical TB being as infectious as clinical TB. Despite such uncertainty, this study brings together the best currently available epidemiological data which, combined with appropriate analysis techniques, provides a data-driven estimate for this important question.</p><p>Although infection studies in household contacts have provided a novel window into transmission from subclinical individuals, it is not possible to establish a transmission link between presumed index cases and infections amongst household contacts using molecular methods (<xref ref-type="bibr" rid="bib30">Kendall, 2021</xref>). Such household contact studies are therefore liable to biases and our study necessarily inherits such limitations. For example, whilst our model does use a background rate of infection as a baseline from which to estimate the additional force of infection from presumed index cases within the household, there remains the residual risk that certain household types may systematically contain more or less infections from transmission outside the household than on average.</p><p>An important limitation of our cumulative hazard model is the assumption that index cases only ever had the disease type they were diagnosed with during screening (e.g. sputum smear-positive, subclinical). Instead, it is more likely that individuals will fluctuate between being, for example, subclinical and clinical (<xref ref-type="bibr" rid="bib58">Richards et al., 2021</xref>). The impact such additional dynamics would have on our results remains uncertain since they would depend on the detailed model of tuberculosis natural history assumed. Such a model would require additional data to prevent the need for additional assumptions.</p><p>We estimated the contribution of subclinical TB to transmission at the population level, including transmission outside the household, using information on relative infectiousness inferred from household contact studies. A more refined estimate may need to take additional factors into account. For example, it is likely that, whilst inside the household the contact rates for subclinical and clinical individuals are likely to be similar, contact with individuals outside the household may differ (<xref ref-type="bibr" rid="bib23">Glynn et al., 2020</xref>).</p><p>We defined subclinical and clinical TB as being culture and/or NAAT-positive and responding negatively or positively to an initial symptom screen, respectively. In practice subclinical and clinical TB are part of a continuous spectrum and alternative definitions could be defined according to different criteria. Here we have used the definition most closely aligned with the methodology of the majority of prevalence surveys, which is consistent with other studies of subclinical TB (<xref ref-type="bibr" rid="bib21">Frascella et al., 2021</xref>) and pragmatic for inclusion of future surveys.</p><p>Meta-analyses were used to provide ranges for several quantities of interest. Whilst the heterogeneity for the relative infectiousness of subclinical and smear-negative TB were low (<italic>I</italic><sup>2</sup> = 0% and <italic>I</italic><sup>2</sup> = 36%, respectively), the heterogeneity for the proportion of prevalent TB that is subclinical and the proportions of subclinical and clinical TB that are smear-positive were high (<italic>I</italic><sup>2</sup> = 95%, <italic>I</italic><sup>2</sup> = 81% and <italic>I</italic><sup>2</sup> = 89%, respectively). As such, we have used the more conservative prediction interval (as opposed to credible interval) to reflect this heterogeneity in the final results (<xref ref-type="bibr" rid="bib59">Riley et al., 2011</xref>; <xref ref-type="bibr" rid="bib9">Deeks et al., 2021</xref>).</p><p>Finally, our data are from populations with a low prevalence of HIV co-infection and the HIV status of individuals with TB was mostly unavailable, making a sub-analysis by HIV and antiretroviral (ART) status impossible. Whilst the subclinical TB presentation is likely affected by HIV in terms of duration and prevalence, it is unknown whether or by how much the relative differences in duration and prevalence between subclinical and clinical TB also change (<xref ref-type="bibr" rid="bib21">Frascella et al., 2021</xref>; <xref ref-type="bibr" rid="bib50">National Department of Health - South Africa, 2021</xref>). If they exist, any such differences by HIV-coinfection status are likely to be reduced by effective viral suppression, which an estimated two-thirds of people living with HIV have achieved (<xref ref-type="bibr" rid="bib69">UNAIDS, 2021</xref>). So while it remains highly valuable to accumulate additional relevant data (<xref ref-type="bibr" rid="bib5">Baik et al., 2021</xref>), we feel our main findings are broadly robust to this limitation.</p><p>Our observation that reported symptoms are a poor proxy for infectiousness fits with historical and contemporary observations that symptom-independent TB screening and treatment policies can reduce TB burden at higher rates than usually seen under DOTS (<xref ref-type="bibr" rid="bib40">Marks et al., 2019</xref>; <xref ref-type="bibr" rid="bib32">Krivinka et al., 1974</xref>). This is in keeping with increasing data showing that symptoms, in particular the classic TB symptom of cough, are not closely correlated to the amount of <italic>Mtb</italic> exhaled (<xref ref-type="bibr" rid="bib71">Williams et al., 2020</xref>) and observations of other pathogens, including SARS-CoV-2 infection (<xref ref-type="bibr" rid="bib17">Emery et al., 2020</xref>; <xref ref-type="bibr" rid="bib29">Johansson et al., 2021</xref>; <xref ref-type="bibr" rid="bib37">Liu et al., 2020</xref>).</p><p>Whilst earlier diagnosis (i.e. before symptom onset) will likely bring individual-level benefits in terms of mortality and extent of post-TB sequelae (<xref ref-type="bibr" rid="bib2">Allwood et al., 2019</xref>), the question of potential population benefits has hampered decisions from policymakers and funders on whether to invest resources in technologies and strategies that can identify subclinical TB. Our results suggest that a non-trivial proportion of all transmission would likely be unaffected by strategies that are insensitive to subclinical TB.</p><p>As our results show that subclinical TB likely contributes substantially to transmission, an increased emphasis on symptom agnostic screening in, for example, the TB screening guidelines (<xref ref-type="bibr" rid="bib77">World Health Organization, 2021</xref>) should be considered, as should the inclusion of subclinical TB in the planned update of WHO case definitions. Target Product Profiles for diagnostic tools should consider all infectious TB, regardless of whether individuals are experiencing or aware of symptoms, and interventions using such tools should be critically evaluated for their impact on <italic>Mtb</italic> transmission and cost-effectiveness. While symptom-independent tools exist for screening (<xref ref-type="bibr" rid="bib71">Williams et al., 2020</xref>; <xref ref-type="bibr" rid="bib40">Marks et al., 2019</xref>; <xref ref-type="bibr" rid="bib79">Yoon et al., 2017</xref>; <xref ref-type="bibr" rid="bib38">Madhani et al., 2020</xref>; <xref ref-type="bibr" rid="bib60">Scriba et al., 2021</xref>; <xref ref-type="bibr" rid="bib70">Williams et al., 2014</xref>), specificity, costs, and logistics remain an obstacle. In addition, individuals are usually required to produce sputum as part of a confirmatory test, which around half of eligible adults in the general population are unable to do (<xref ref-type="bibr" rid="bib40">Marks et al., 2019</xref>). Screening or diagnostic technologies that are symptom- as well as sputum-independent, while remaining low-tech and low-cost, remain the goal. Indeed, the advent of bio-aerosol measurements in TB may uncover additional infectious individuals whose sputum-based bacteriological test is negative, although these tools require validation in larger populations (<xref ref-type="bibr" rid="bib71">Williams et al., 2020</xref>; <xref ref-type="bibr" rid="bib70">Williams et al., 2014</xref>; <xref ref-type="bibr" rid="bib49">Nathavitharana et al., 2022</xref>). Any bio-aerosol-positive, sputum-negative individuals are more likely to be subclinical and as such would mean we underestimated the contribution of subclinical TB to global <italic>Mtb</italic> transmission, even if their relative infectiousness may be lower than sputum-positive TB. As new diagnostic approaches are developed to capture the spectrum of TB disease, policymakers will need to decide on how to treat subclinical TB. In treatment, as in diagnosis, it is key that more tailored approaches are developed and tested so as to prevent over- or undertreatment of individuals with subclinical TB (<xref ref-type="bibr" rid="bib19">Esmail et al., 2022</xref>).</p><sec id="s4-1"><title>Conclusion</title><p>Subclinical TB likely contributes substantially to transmission in high-burden settings. If we are to meet EndTB targets for TB elimination, the TB community needs to develop technologies and strategies beyond passive case finding to address subclinical TB.</p></sec></sec></body><back><sec sec-type="additional-information" id="s5"><title>Additional information</title><fn-group content-type="competing-interest"><title>Competing interests</title><fn fn-type="COI-statement" id="conf1"><p>No competing interests declared</p></fn><fn fn-type="COI-statement" id="conf2"><p>has received consultancy fees from WHO (TB burden estimation) and participates as chair of SAB for NIHR grant on TBI screening. The author has no other competing interests to declare</p></fn><fn fn-type="COI-statement" id="conf3"><p>acts as President of the International Union Against TB &amp; Lung Disease. The author has no other competing interests to declare</p></fn><fn fn-type="COI-statement" id="conf4"><p>has received grants from National TB Program Cambodia, WHO and DFAT (Australia) and has received consulting fees from WHO Myanmar Office. The author is on the Board of the Directors, UNION IUATLD and WHO’s Global Task Force on TB Impact Measurement. The author has no other competing interests to declare</p></fn><fn fn-type="COI-statement" id="conf5"><p>received a grant from the Bill and Melinda Gates Foundation and owns stock/stock options in Sanofi Aventis Pharma LTD. The author has no other competing interests to declare</p></fn></fn-group><fn-group content-type="author-contribution"><title>Author contributions</title><fn fn-type="con" id="con1"><p>Software, Formal analysis, Investigation, Visualization, Methodology, Writing – original draft, Writing – review and editing</p></fn><fn fn-type="con" id="con2"><p>Software, Formal analysis, Methodology, Writing – review and editing</p></fn><fn fn-type="con" id="con3"><p>Writing – review and editing</p></fn><fn fn-type="con" id="con4"><p>Formal analysis, Writing – review and editing</p></fn><fn fn-type="con" id="con5"><p>Formal analysis, Writing – review and editing</p></fn><fn fn-type="con" id="con6"><p>Writing – review and editing</p></fn><fn fn-type="con" id="con7"><p>Writing – review and editing</p></fn><fn fn-type="con" id="con8"><p>Writing – review and editing</p></fn><fn fn-type="con" id="con9"><p>Writing – review and editing</p></fn><fn fn-type="con" id="con10"><p>Writing – review and editing</p></fn><fn fn-type="con" id="con11"><p>Writing – review and editing</p></fn><fn fn-type="con" id="con12"><p>Formal analysis, Writing – review and editing</p></fn><fn fn-type="con" id="con13"><p>Writing – review and editing</p></fn><fn fn-type="con" id="con14"><p>Writing – review and editing</p></fn><fn fn-type="con" id="con15"><p>Writing – review and editing</p></fn><fn fn-type="con" id="con16"><p>Visualization, Writing – review and editing</p></fn><fn fn-type="con" id="con17"><p>Writing – review and editing</p></fn><fn fn-type="con" id="con18"><p>Writing – review and editing</p></fn><fn fn-type="con" id="con19"><p>Writing – review and editing</p></fn><fn fn-type="con" id="con20"><p>Methodology, Writing – review and editing</p></fn><fn fn-type="con" id="con21"><p>Conceptualization, Formal analysis, Methodology, Writing – review and editing</p></fn></fn-group><fn-group content-type="ethics-information"><title>Ethics</title><fn fn-type="other"><p>No new human subject data was collected for this work, which re-analysed individual patient data collected during four observational studies in three countries. Procedures, including consent where available, are described in the original publications. Local and institutional Ethics Approval was in place for each survey, through the Department of Health (Philippines survey [Tupasi et al., 1999]), Institutional Review Board of the Viet Nam National Lung Hospital (Viet Nam survey [Hoa et al., 2010]), the Ministry of Health and Family Welfare of Bangladesh as well as the Research Review Committee and Ethics Review Committee of the iccdr,b (Bangladesh survey [Zaman et al., 2012]) and Institutional Review Board of the Viet Nam National Lung Hospital as well as Human Research Ethics Committee of the University of Sydney (ACT3 study [Marks et al., 2019]). The Ethics committee of the London School of Hygiene and Tropical Medicine gave ethical approval for this project (#16396).</p></fn></fn-group></sec><sec sec-type="supplementary-material" id="s6"><title>Additional files</title><supplementary-material id="mdar"><label>MDAR checklist</label><media xlink:href="elife-82469-mdarchecklist1-v1.pdf" mimetype="application" mime-subtype="pdf"/></supplementary-material></sec><sec sec-type="data-availability" id="s7"><title>Data availability</title><p>Replication data and analysis scripts are available at <ext-link ext-link-type="uri" xlink:href="https://github.com/epidemery/subclinical_transmission">GitHub</ext-link> (copy archived at <xref ref-type="bibr" rid="bib18">Emery JC, 2022</xref>).</p></sec><ack id="ack"><title>Acknowledgements</title><p>The authors acknowledge the work of Dr Thelma Tupasi who led the Philippines (2007) prevalence survey and founded the Tropical Disease Foundation (Philippines), who sadly passed away in 2019.</p></ack><ref-list><title>References</title><ref id="bib1"><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Alene</surname><given-names>KA</given-names></name><name><surname>Wangdi</surname><given-names>K</given-names></name><name><surname>Colquhoun</surname><given-names>S</given-names></name><name><surname>Chani</surname><given-names>K</given-names></name><name><surname>Islam</surname><given-names>T</given-names></name><name><surname>Rahevar</surname><given-names>K</given-names></name><name><surname>Morishita</surname><given-names>F</given-names></name><name><surname>Byrne</surname><given-names>A</given-names></name><name><surname>Clark</surname><given-names>J</given-names></name><name><surname>Viney</surname><given-names>K</given-names></name></person-group><year iso-8601-date="2021">2021</year><article-title>Tuberculosis related disability: a systematic review and meta-analysis</article-title><source>BMC Medicine</source><volume>19</volume><elocation-id>203</elocation-id><pub-id pub-id-type="doi">10.1186/s12916-021-02063-9</pub-id><pub-id pub-id-type="pmid">34496845</pub-id></element-citation></ref><ref id="bib2"><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Allwood</surname><given-names>B</given-names></name><name><surname>van der Zalm</surname><given-names>M</given-names></name><name><surname>Makanda</surname><given-names>G</given-names></name><name><surname>Mortimer</surname><given-names>K</given-names></name><collab>Steering Committee of the First International Post-Tuberculosis Symposium</collab></person-group><year iso-8601-date="2019">2019</year><article-title>The long shadow post-tuberculosis</article-title><source>The Lancet. 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Leth</surname><given-names>F</given-names></name></person-group><year iso-8601-date="2012">2012</year><article-title>Prevalence of smear-positive tuberculosis in persons aged ≥ 15 years in Bangladesh: results from a national survey, 2007-2009</article-title><source>Epidemiology and Infection</source><volume>140</volume><fpage>1018</fpage><lpage>1027</lpage><pub-id pub-id-type="doi">10.1017/S0950268811001609</pub-id><pub-id pub-id-type="pmid">21880168</pub-id></element-citation></ref></ref-list><app-group><app id="appendix-1"><title>Appendix 1</title><sec sec-type="appendix" id="s8"><title>Supplementary methods</title><sec sec-type="appendix" id="s8-1"><title>Search strategy</title><p>We sought studies in which <italic>Mtb</italic> infection surveys were performed amongst household contacts of bacteriologically confirmed index cases, where data on their symptom and sputum smear status at the time of diagnosis was available.</p><p>We began with a recent systematic review of population-based TB prevalence surveys completed since 1990, with reports or articles publicly available through August 2019 (<xref ref-type="bibr" rid="bib21">Frascella et al., 2021</xref>). Surveys were included if both a symptom screening interview and X-ray were performed on all eligible participants and if surveys reported the proportion of bacteriologically confirmed cases by screening modality as well as the proportion of bacteriologically confirmed cases that were negative on symptom screening (see <xref ref-type="bibr" rid="bib21">Frascella et al., 2021</xref> for full details of the review process). We then reviewed the reports of the 28 national and subnational TB prevalence surveys included for quantitative analysis in <xref ref-type="bibr" rid="bib21">Frascella et al., 2021</xref> and identified three such studies that were conducted alongside <italic>Mtb</italic> infection surveys amongst household contacts: Viet Nam (2007) (<xref ref-type="bibr" rid="bib27">Hoa et al., 2010</xref>), Bangladesh (2007) (<xref ref-type="bibr" rid="bib80">Zaman et al., 2012</xref>), and the Philippines (1997) (<xref ref-type="bibr" rid="bib68">Tupasi et al., 1999</xref>). Authors of these studies and affiliated institutions were then invited to collaborate using original, individual-level data and all accepted.</p><p>In addition to prevalence surveys, we also considered active case-finding studies with associated household infection surveys with which to measure any resultant impact on transmission. A non-systematic review of the literature identified one such study in Viet Nam: ACT3 (2017) (<xref ref-type="bibr" rid="bib40">Marks et al., 2019</xref>). Again the authors of this study and affiliated institutions were invited to collaborate with original, individual-level data and accepted.</p></sec><sec sec-type="appendix" id="s8-2"><title>Data analysis</title><p>Index cases were identified in the three prevalence surveys (Viet Nam [2007] [<xref ref-type="bibr" rid="bib27">Hoa et al., 2010</xref>], Bangladesh [2007] [<xref ref-type="bibr" rid="bib80">Zaman et al., 2012</xref>], and the Philippines [1997] [<xref ref-type="bibr" rid="bib68">Tupasi et al., 1999</xref>]) via culture and/or NAAT and defined as subclinical or clinical depending on whether they responded negatively or positively to an initial symptom screening, respectively. Index cases were further stratified by their sputum smear status at the time of diagnosis.</p><p>Households with multiple co-prevalent index cases were excluded from the analysis to retain the premise of the analysis which links infections above the community level to the characteristics of the single index case. Co-prevalent cases were absent in one study (ACT3; <xref ref-type="bibr" rid="bib40">Marks et al., 2019</xref>) and below 10% in other studies, limiting the impact on power or introduction of bias.</p><p>Linked records were then used to stratify participants of the associated <italic>Mtb</italic> infection survey into different household types depending on the status of the index case: background (no index case); subclinical and sputum smear-negative; subclinical and sputum smear-positive; clinical and sputum smear-negative; clinical and sputum smear-positive. For each household type the total number of contacts and number of TST or IGRA-positive contacts was extracted, shown in <xref ref-type="table" rid="app1table1">Appendix 1—table 1</xref>.</p><p>Index cases were identified in ACT3 (<xref ref-type="bibr" rid="bib40">Marks et al., 2019</xref>) either through routine passive case-finding, in any of the TB screening rounds as part of active case-finding, or in the TB prevalence surveys used to measure the impact of such screening. Those identified through passive case-finding were designated clinical, whilst those identified either through screening or the prevalence surveys were stratified as subclinical or clinical depending on whether they responded negatively or positively to an initial symptom screening, respectively. Index cases were further stratified by their sputum smear status at the time of diagnosis.</p><p>The same approach to that described above was then used to find the total number of household contacts and the number of TST or IGRA-positive contacts for each household type, also shown in <xref ref-type="table" rid="app1table1">Appendix 1—table 1</xref>.</p><table-wrap id="app1table1" position="float"><label>Appendix 1—table 1.</label><caption><title>Summary of the relevant data from studies in which <italic>Mtb</italic> infection surveys were performed amongst household contacts of culture and/or nucleic acid amplification ttest (NAAT) confirmed cases where information on their symptom and sputum smear status at the time of diagnosis was available.</title><p>A negative/positive response to ‘symptoms’ defines subclinical/clinical tuberculosis (TB) in the corresponding study. Infected = number of tuberculin skin test (TST) or interferon-gamma release assay (IGRA)-positive household contacts; Contacts = number of household contacts with a TST or IGRA result; NA = not applicable</p></caption><table frame="hsides" rules="groups"><thead><tr><th align="left" valign="bottom" rowspan="3">Study</th><th align="left" valign="bottom" rowspan="2" colspan="2">Background</th><th align="left" valign="bottom" colspan="4">Subclinical</th><th align="left" valign="bottom" colspan="4">Clinical</th><th align="left" valign="bottom" rowspan="3">Symptoms</th></tr><tr><th align="left" valign="bottom" colspan="2">Smear-negative</th><th align="left" valign="bottom" colspan="2">Smear-positive</th><th align="left" valign="bottom" colspan="2">Smear-negative</th><th align="left" valign="bottom" colspan="2">Smear-positive</th></tr><tr><th align="left" valign="bottom">Infected</th><th align="left" valign="bottom">Contacts</th><th align="left" valign="bottom">Infected</th><th align="left" valign="bottom">Contacts</th><th align="left" valign="bottom">Infected</th><th align="left" valign="bottom">Contacts</th><th align="left" valign="bottom">Infected</th><th align="left" valign="bottom">Contacts</th><th align="left" valign="bottom">Infected</th><th align="left" valign="bottom">Contacts</th></tr></thead><tbody><tr><td align="left" valign="bottom">ACT3<break/>2017 (<xref ref-type="bibr" rid="bib40">Marks et al., 2019</xref>)</td><td align="char" char="." valign="bottom">128</td><td align="char" char="." valign="bottom">2893</td><td align="char" char="." valign="bottom">2</td><td align="char" char="." valign="bottom">8</td><td align="char" char="." valign="bottom">2</td><td align="char" char="." valign="bottom">10</td><td align="char" char="." valign="bottom">1</td><td align="char" char="." valign="bottom">16</td><td align="char" char="." valign="bottom">4</td><td align="char" char="." valign="bottom">27</td><td align="left" valign="bottom">Cough &gt;2 wk</td></tr><tr><td align="left" valign="bottom">Bangladesh 2007 (<xref ref-type="bibr" rid="bib80">Zaman et al., 2012</xref>)</td><td align="char" char="." valign="bottom">702</td><td align="char" char="." valign="bottom">17,566</td><td align="left" valign="bottom"><italic>NA</italic></td><td align="left" valign="bottom"><italic>NA</italic></td><td align="char" char="." valign="bottom">1</td><td align="char" char="." valign="bottom">5</td><td align="left" valign="bottom"><italic>NA</italic></td><td align="left" valign="bottom"><italic>NA</italic></td><td align="char" char="." valign="bottom">3</td><td align="char" char="." valign="bottom">9</td><td align="left" valign="bottom">Any cough</td></tr><tr><td align="left" valign="bottom">Philippines 1997 (<xref ref-type="bibr" rid="bib68">Tupasi et al., 1999</xref>)</td><td align="char" char="." valign="bottom">3823</td><td align="char" char="." valign="bottom">20,259</td><td align="char" char="." valign="bottom">48</td><td align="char" char="." valign="bottom">227</td><td align="char" char="." valign="bottom">32</td><td align="char" char="." valign="bottom">82</td><td align="char" char="." valign="bottom">23</td><td align="char" char="." valign="bottom">108</td><td align="char" char="." valign="bottom">34</td><td align="char" char="." valign="bottom">109</td><td align="left" valign="bottom">Cough &gt;2 wk</td></tr><tr><td align="left" valign="bottom">Vietnam 2007 (<xref ref-type="bibr" rid="bib27">Hoa et al., 2010</xref>)</td><td align="char" char="." valign="bottom">1556</td><td align="char" char="." valign="bottom">21,298</td><td align="char" char="." valign="bottom">3</td><td align="char" char="." valign="bottom">59</td><td align="char" char="." valign="bottom">5</td><td align="char" char="." valign="bottom">28</td><td align="char" char="." valign="bottom">4</td><td align="char" char="." valign="bottom">42</td><td align="char" char="." valign="bottom">16</td><td align="char" char="." valign="bottom">59</td><td align="left" valign="bottom">Cough &gt;2 wk</td></tr></tbody></table></table-wrap></sec></sec><sec sec-type="appendix" id="s9"><title>Cumulative hazard model</title><sec sec-type="appendix" id="s9-1"><title>Model equations</title><p>The prevalence of infection in background households (i.e. with no index case) is given by<disp-formula id="equ4"><mml:math id="m4"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi>B</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn>1</mml:mn><mml:mo>−</mml:mo><mml:msup><mml:mi>e</mml:mi><mml:mrow><mml:mo>−</mml:mo><mml:msub><mml:mi mathvariant="normal">Λ</mml:mi><mml:mi>B</mml:mi></mml:msub></mml:mrow></mml:msup></mml:mrow></mml:math></disp-formula></p><p>where <italic>Λ<sub>B</sub></italic> is the cumulative hazard from the background, representing transmission outside the household. The prevalence of infection in households with an index case is given by<disp-formula id="equ5"><mml:math id="m5"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi>I</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn>1</mml:mn><mml:mo>−</mml:mo><mml:msup><mml:mi>e</mml:mi><mml:mrow><mml:mo>−</mml:mo><mml:msub><mml:mi mathvariant="normal">Λ</mml:mi><mml:mi>B</mml:mi></mml:msub></mml:mrow></mml:msup><mml:msup><mml:mi>e</mml:mi><mml:mrow><mml:mo>−</mml:mo><mml:msub><mml:mi mathvariant="normal">Λ</mml:mi><mml:mi>I</mml:mi></mml:msub></mml:mrow></mml:msup></mml:mrow></mml:math></disp-formula></p><p>where <italic>Λ<sub>I</sub></italic> is the cumulative hazard from index case type <italic>I = subclinical and smear-negative (S-); subclinical and smear-positive (S+); clinical and smear-negative (C-); clinical and smear-positive (C).</italic></p><p>The cumulative hazard from clinical and smear-positive index cases is used as a benchmark to define the cumulative hazards from the remaining index case types. We assume that being subclinical or smear-negative have separate, multiplicative effects, such that<disp-formula id="equ6"><mml:math id="m6"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Λ</mml:mi><mml:mrow><mml:mi>C</mml:mi><mml:mo>−</mml:mo></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>r</mml:mi><mml:mrow><mml:mo>−</mml:mo></mml:mrow></mml:msub><mml:msub><mml:mi mathvariant="normal">Λ</mml:mi><mml:mrow><mml:mi>C</mml:mi><mml:mo>+</mml:mo></mml:mrow></mml:msub><mml:mo>,</mml:mo><mml:mtext> </mml:mtext><mml:msub><mml:mi mathvariant="normal">Λ</mml:mi><mml:mrow><mml:mi>S</mml:mi><mml:mo>+</mml:mo></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>r</mml:mi><mml:mrow><mml:mi>s</mml:mi></mml:mrow></mml:msub><mml:msub><mml:mi mathvariant="normal">Λ</mml:mi><mml:mrow><mml:mi>C</mml:mi><mml:mo>+</mml:mo></mml:mrow></mml:msub><mml:mo>,</mml:mo><mml:mtext> </mml:mtext><mml:msub><mml:mi mathvariant="normal">Λ</mml:mi><mml:mrow><mml:mi>S</mml:mi><mml:mo>−</mml:mo></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>r</mml:mi><mml:mrow><mml:mo>−</mml:mo></mml:mrow></mml:msub><mml:msub><mml:mi>r</mml:mi><mml:mrow><mml:mi>s</mml:mi></mml:mrow></mml:msub><mml:msub><mml:mi mathvariant="normal">Λ</mml:mi><mml:mrow><mml:mi>C</mml:mi><mml:mo>+</mml:mo></mml:mrow></mml:msub><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula></p><p>where <italic>r<sub>s</sub></italic> and <italic>r<sub>-</sub></italic> are the subclinical and sputum smear-negative relative cumulative hazards, respectively.</p></sec><sec sec-type="appendix" id="s9-2"><title>Model fitting</title><p>The model was fitted to the prevalence of infection in each of the five household types for each study separately. Fitting was performed in a Bayesian framework using Markov-Chain Monte Carlo methods. We use binomial distributions for the prevalence in the likelihood and estimate the following parameters: the background cumulative hazard (<italic>Λ<sub>B</sub></italic>); the cumulative hazard from clinical, smear-positive index cases (<italic>Λ<sub>C+</sub></italic>), the subclinical relative cumulative hazard (<italic>r<sub>s</sub></italic>), and the sputum smear-negative relative cumulative hazard (<italic>r<sub>-</sub></italic>). We use truncated gamma and normal distributions as weak priors:<disp-formula id="equ7"><mml:math id="m7"><mml:mrow><mml:mtable columnalign="left left" rowspacing="4pt" columnspacing="1em"><mml:mtr><mml:mtd><mml:msub><mml:mi mathvariant="normal">Λ</mml:mi><mml:mrow><mml:mi>B</mml:mi></mml:mrow></mml:msub><mml:mo>∼</mml:mo><mml:mi>g</mml:mi><mml:mi>a</mml:mi><mml:mi>m</mml:mi><mml:mi>m</mml:mi><mml:mi>a</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi mathvariant="normal">a</mml:mi><mml:mi mathvariant="normal">l</mml:mi><mml:mi mathvariant="normal">p</mml:mi><mml:mi mathvariant="normal">h</mml:mi><mml:mi mathvariant="normal">a</mml:mi><mml:mo>=</mml:mo><mml:mn>2</mml:mn><mml:mo>,</mml:mo><mml:mi mathvariant="normal">b</mml:mi><mml:mi mathvariant="normal">e</mml:mi><mml:mi mathvariant="normal">t</mml:mi><mml:mi mathvariant="normal">a</mml:mi><mml:mo>=</mml:mo><mml:mn>20</mml:mn><mml:mo stretchy="false">)</mml:mo><mml:mo>,</mml:mo></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:msub><mml:mi mathvariant="normal">Λ</mml:mi><mml:mrow><mml:mi>C</mml:mi><mml:mo>+</mml:mo></mml:mrow></mml:msub><mml:mo>∼</mml:mo><mml:mi>n</mml:mi><mml:mi>o</mml:mi><mml:mi>r</mml:mi><mml:mi>m</mml:mi><mml:mi>a</mml:mi><mml:mi>l</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi mathvariant="normal">a</mml:mi><mml:mi mathvariant="normal">l</mml:mi><mml:mi mathvariant="normal">p</mml:mi><mml:mi mathvariant="normal">h</mml:mi><mml:mi mathvariant="normal">a</mml:mi><mml:mo>=</mml:mo><mml:mn>2</mml:mn><mml:mo>,</mml:mo><mml:mi mathvariant="normal">b</mml:mi><mml:mi mathvariant="normal">e</mml:mi><mml:mi mathvariant="normal">t</mml:mi><mml:mi mathvariant="normal">a</mml:mi><mml:mo>=</mml:mo><mml:mn>20</mml:mn><mml:mo stretchy="false">)</mml:mo><mml:mo>,</mml:mo></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:msub><mml:mi>r</mml:mi><mml:mrow><mml:mi>s</mml:mi></mml:mrow></mml:msub><mml:mo>∼</mml:mo><mml:mi>n</mml:mi><mml:mi>o</mml:mi><mml:mi>r</mml:mi><mml:mi>m</mml:mi><mml:mi>a</mml:mi><mml:mi>l</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi mathvariant="normal">m</mml:mi><mml:mi mathvariant="normal">u</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn><mml:mo>,</mml:mo><mml:mi mathvariant="normal">s</mml:mi><mml:mi mathvariant="normal">i</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mi mathvariant="normal">m</mml:mi><mml:mi mathvariant="normal">a</mml:mi><mml:mo>=</mml:mo><mml:mn>20</mml:mn><mml:mo stretchy="false">)</mml:mo><mml:mo>,</mml:mo></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:msub><mml:mi>r</mml:mi><mml:mrow><mml:mo>−</mml:mo></mml:mrow></mml:msub><mml:mo>∼</mml:mo><mml:mi>n</mml:mi><mml:mi>o</mml:mi><mml:mi>r</mml:mi><mml:mi>m</mml:mi><mml:mi>a</mml:mi><mml:mi>l</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi mathvariant="normal">m</mml:mi><mml:mi mathvariant="normal">u</mml:mi><mml:mo>=</mml:mo><mml:mn>0.2</mml:mn><mml:mo>,</mml:mo><mml:mi mathvariant="normal">s</mml:mi><mml:mi mathvariant="normal">i</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mi mathvariant="normal">m</mml:mi><mml:mi mathvariant="normal">a</mml:mi><mml:mo>=</mml:mo><mml:mn>20</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:mtd></mml:mtr></mml:mtable></mml:mrow></mml:math></disp-formula></p><p>A total of 50,000 iterations were performed for each study, the first 25,000 of which were discarded as burn-in. Model fit, trace, correlation, and autocorrelation plots were used to ensure model suitability and convergence. We report median and 95% equal-tailed posterior intervals (PoIs).</p></sec></sec><sec sec-type="appendix" id="s10"><title>Subclinical versus clinical TB: Prevalence and bacteriological indicators</title><sec sec-type="appendix" id="s10-1"><title>Search strategy</title><p>We sought TB prevalence surveys where data on the symptom and sputum smear status at the time of diagnosis was available for those identified in the survey. We began again with the recent systematic review of population-based TB prevalence surveys (<xref ref-type="bibr" rid="bib21">Frascella et al., 2021</xref>), all of which included information on the symptom status at the time of diagnosis of those identified in the survey. We again reviewed the reports of the 28 national and subnational TB prevalence surveys included for quantitative analysis in <xref ref-type="bibr" rid="bib21">Frascella et al., 2021</xref> and identified 14 such studies that also included information on the sputum smear status at the time of diagnosis of those identified in the survey. Data from the second TB prevalence survey in Viet Nam in 2018 (<xref ref-type="bibr" rid="bib51">Nguyen et al., 2020</xref>), which was not included in <xref ref-type="bibr" rid="bib21">Frascella et al., 2021</xref>, were additionally included.</p></sec><sec sec-type="appendix" id="s10-2"><title>Data analysis</title><p>From the respective survey reports, we extracted the symptom threshold used for initial symptom screening, the total number of individuals screened and the number of identified cases that were subclinical and sputum smear-negative; subclinical and sputum smear-positive; clinical and sputum smear-negative; clinical and sputum smear-positive. Results of the data extraction are shown in <xref ref-type="table" rid="app1table2">Appendix 1—table 2</xref>.</p><table-wrap id="app1table2" position="float"><label>Appendix 1—table 2.</label><caption><title>Data extracted from 15 prevalence where sufficient information on sputum smear status at the time of diagnosis was available.</title><p>The ‘symptom threshold’ used for initial symptom screening is the metric used here to define subclinical (negative) and clinical (positive). Neg = negative, Pos = positive.</p></caption><table frame="hsides" rules="groups"><thead><tr><th align="left" valign="bottom">Survey setting (ref)</th><th align="left" valign="bottom">Year</th><th align="left" valign="bottom">Subclinicalsmear neg.</th><th align="left" valign="bottom">Subclinicalsmear pos.</th><th align="left" valign="bottom">Clinical smear neg.</th><th align="left" valign="bottom">Clinicalsmear pos.</th><th align="left" valign="bottom">Number screened</th><th align="left" valign="bottom">Symptom threshold</th></tr></thead><tbody><tr><td align="left" valign="bottom">Viet Nam (<xref ref-type="bibr" rid="bib51">Nguyen et al., 2020</xref>)</td><td align="char" char="." valign="bottom">2018</td><td align="char" char="." valign="bottom">67</td><td align="char" char="." valign="bottom">17</td><td align="char" char="." valign="bottom">22</td><td align="char" char="." valign="bottom">21</td><td align="char" char="." valign="bottom">61,763</td><td align="left" valign="bottom">Cough &gt;2 wk</td></tr><tr><td align="left" valign="bottom">Viet Nam (<xref ref-type="bibr" rid="bib46">Ministry of Health - Vietnam, 2008</xref>)</td><td align="char" char="." valign="bottom">2007</td><td align="char" char="." valign="bottom">87</td><td align="char" char="." valign="bottom">76</td><td align="char" char="." valign="bottom">33</td><td align="char" char="." valign="bottom">36</td><td align="char" char="." valign="bottom">94,179</td><td align="left" valign="bottom">Productive cough &gt;2 wk</td></tr><tr><td align="left" valign="bottom">Myanmar (<xref ref-type="bibr" rid="bib43">Ministry of Health - Myanmar, 2010</xref>)</td><td align="char" char="." valign="bottom">2009</td><td align="char" char="." valign="bottom">164</td><td align="char" char="." valign="bottom">81</td><td align="char" char="." valign="bottom">24</td><td align="char" char="." valign="bottom">42</td><td align="char" char="." valign="bottom">51,367</td><td align="left" valign="bottom">Any symptom</td></tr><tr><td align="left" valign="bottom">Lao PDR (<xref ref-type="bibr" rid="bib34">Law et al., 2015</xref>)</td><td align="char" char="." valign="bottom">2011</td><td align="char" char="." valign="bottom">83</td><td align="char" char="." valign="bottom">36</td><td align="char" char="." valign="bottom">47</td><td align="char" char="." valign="bottom">71</td><td align="char" char="." valign="bottom">39,212</td><td align="left" valign="bottom">Cough &gt;2 wk and/or other</td></tr><tr><td align="left" valign="bottom">Cambodia (<xref ref-type="bibr" rid="bib41">Ministry of Health - Cambodia, 2011</xref>)</td><td align="char" char="." valign="bottom">2011</td><td align="char" char="." valign="bottom">163</td><td align="char" char="." valign="bottom">58</td><td align="char" char="." valign="bottom">48</td><td align="char" char="." valign="bottom">45</td><td align="char" char="." valign="bottom">37,417</td><td align="left" valign="bottom">Cough &gt;2 wk and/or other</td></tr><tr><td align="left" valign="bottom">Gambia (<xref ref-type="bibr" rid="bib48">Ministry of Health and Social Welfare - The Gambia, 2011</xref>)</td><td align="char" char="." valign="bottom">2012</td><td align="char" char="." valign="bottom">18</td><td align="char" char="." valign="bottom">9</td><td align="char" char="." valign="bottom">25</td><td align="char" char="." valign="bottom">18</td><td align="char" char="." valign="bottom">43,100</td><td align="left" valign="bottom">Cough &gt;2 wk and/or other</td></tr><tr><td align="left" valign="bottom">Rwanda (<xref ref-type="bibr" rid="bib45">Ministry of Health - Rwanda, 2014</xref>)</td><td align="char" char="." valign="bottom">2012</td><td align="char" char="." valign="bottom">11</td><td align="char" char="." valign="bottom">9</td><td align="char" char="." valign="bottom">5</td><td align="char" char="." valign="bottom">13</td><td align="char" char="." valign="bottom">43,128</td><td align="left" valign="bottom">Any symptom</td></tr><tr><td align="left" valign="bottom">Nigeria (<xref ref-type="bibr" rid="bib20">Federal Republic of Nigeria, 2012</xref>)</td><td align="char" char="." valign="bottom">2012</td><td align="char" char="." valign="bottom">25</td><td align="char" char="." valign="bottom">27</td><td align="char" char="." valign="bottom">12</td><td align="char" char="." valign="bottom">80</td><td align="char" char="." valign="bottom">44,186</td><td align="left" valign="bottom">Cough &gt;2 wk</td></tr><tr><td align="left" valign="bottom">Indonesia (<xref ref-type="bibr" rid="bib44">Ministry of Health, Republic of Indonesia, 2015</xref>)</td><td align="char" char="." valign="bottom">2014</td><td align="char" char="." valign="bottom">132</td><td align="char" char="." valign="bottom">49</td><td align="char" char="." valign="bottom">129</td><td align="char" char="." valign="bottom">116</td><td align="char" char="." valign="bottom">67,944</td><td align="left" valign="bottom">Cough &gt;2 wk and/or other</td></tr><tr><td align="left" valign="bottom">Uganda (<xref ref-type="bibr" rid="bib65">The Republic of Uganda, 2015</xref>)</td><td align="char" char="." valign="bottom">2014</td><td align="char" char="." valign="bottom">51</td><td align="char" char="." valign="bottom">30</td><td align="char" char="." valign="bottom">43</td><td align="char" char="." valign="bottom">36</td><td align="char" char="." valign="bottom">41,154</td><td align="left" valign="bottom">Cough &gt;2 wk</td></tr><tr><td align="left" valign="bottom">Zimbabwe (<xref ref-type="bibr" rid="bib47">Ministry of Health and Child Care – Zimbabwe, 2014</xref>)</td><td align="char" char="." valign="bottom">2014</td><td align="char" char="." valign="bottom">58</td><td align="char" char="." valign="bottom">9</td><td align="char" char="." valign="bottom">25</td><td align="char" char="." valign="bottom">14</td><td align="char" char="." valign="bottom">33,736</td><td align="left" valign="bottom">Any symptom</td></tr><tr><td align="left" valign="bottom">Bangladesh (<xref ref-type="bibr" rid="bib12">DGHS Ministry of Health and Family Welfare - Bangladesh, 2015</xref>)</td><td align="char" char="." valign="bottom">2015</td><td align="char" char="." valign="bottom">116</td><td align="char" char="." valign="bottom">56</td><td align="char" char="." valign="bottom">54</td><td align="char" char="." valign="bottom">52</td><td align="char" char="." valign="bottom">98,710</td><td align="left" valign="bottom">Cough &gt;2 wk and/or other</td></tr><tr><td align="left" valign="bottom">Mongolia (<xref ref-type="bibr" rid="bib42">Ministry of Health - Mongolia, 2016</xref>)</td><td align="char" char="." valign="bottom">2015</td><td align="char" char="." valign="bottom">139</td><td align="char" char="." valign="bottom">56</td><td align="char" char="." valign="bottom">21</td><td align="char" char="." valign="bottom">30</td><td align="char" char="." valign="bottom">50,309</td><td align="left" valign="bottom">Cough &gt;2 wk</td></tr><tr><td align="left" valign="bottom">DPR Korea (<xref ref-type="bibr" rid="bib10">Democratic People’s Republic of Korea, 2016</xref>)</td><td align="char" char="." valign="bottom">2016</td><td align="char" char="." valign="bottom">82</td><td align="char" char="." valign="bottom">64</td><td align="char" char="." valign="bottom">71</td><td align="char" char="." valign="bottom">123</td><td align="char" char="." valign="bottom">60,683</td><td align="left" valign="bottom">Cough &gt;2 wk and/or other</td></tr><tr><td align="left" valign="bottom">Philippines (<xref ref-type="bibr" rid="bib11">Department of Health - Philippines, 2016</xref>)</td><td align="char" char="." valign="bottom">2016</td><td align="char" char="." valign="bottom">231</td><td align="char" char="." valign="bottom">85</td><td align="char" char="." valign="bottom">212</td><td align="char" char="." valign="bottom">88</td><td align="char" char="." valign="bottom">46,689</td><td align="left" valign="bottom">Cough &gt;2 wk and/or other</td></tr></tbody></table></table-wrap></sec></sec><sec sec-type="appendix" id="s11"><title>The contribution of subclinical TB to transmission</title><p>We combined our estimates for the relative infectiousness of subclinical TB per unit time relative to clinical TB (<italic>α<sub>S</sub></italic>), the relative infectiousness of sputum smear-negative TB relative to smear-positive TB (<italic>α<sub>-</sub></italic>), the meta-analysed proportion of prevalent TB that is subclinical (<italic>P<sup>S</sup><sub>TB</sub></italic>), and the proportion of prevalent subclinical and clinical TB that is smear-positive (<italic>P<sup>+</sup><sub>S</sub></italic> and <italic>P<sup>+</sup><sub>C</sub>,</italic> respectively) to estimate the per unit time contribution of subclinical TB to overall transmission (<inline-formula><mml:math id="inf1"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mrow><mml:msubsup><mml:mi>P</mml:mi><mml:mrow><mml:mi>T</mml:mi><mml:mi>x</mml:mi></mml:mrow><mml:mrow><mml:mi>S</mml:mi></mml:mrow></mml:msubsup></mml:mrow></mml:mstyle></mml:math></inline-formula>):<disp-formula id="equ8"><mml:math id="m8"><mml:mrow><mml:msubsup><mml:mi>P</mml:mi><mml:mrow><mml:mi>T</mml:mi><mml:mi>x</mml:mi></mml:mrow><mml:mrow><mml:mi>S</mml:mi></mml:mrow></mml:msubsup><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:msubsup><mml:mi>P</mml:mi><mml:mrow><mml:mi>S</mml:mi></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msubsup><mml:msub><mml:mi>α</mml:mi><mml:mrow><mml:mi>s</mml:mi></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:mo stretchy="false">(</mml:mo><mml:mn>1</mml:mn><mml:mo>−</mml:mo><mml:msubsup><mml:mi>P</mml:mi><mml:mrow><mml:mi>S</mml:mi></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msubsup><mml:mo stretchy="false">)</mml:mo><mml:msub><mml:mi>α</mml:mi><mml:mrow><mml:mi>s</mml:mi></mml:mrow></mml:msub><mml:msub><mml:mi>α</mml:mi><mml:mrow><mml:mo>−</mml:mo></mml:mrow></mml:msub><mml:mo stretchy="false">)</mml:mo><mml:msubsup><mml:mi>P</mml:mi><mml:mrow><mml:mi>T</mml:mi><mml:mi>B</mml:mi></mml:mrow><mml:mrow><mml:mi>S</mml:mi></mml:mrow></mml:msubsup></mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:msubsup><mml:mi>P</mml:mi><mml:mrow><mml:mi>S</mml:mi></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msubsup><mml:msub><mml:mi>α</mml:mi><mml:mrow><mml:mi>s</mml:mi></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:mo stretchy="false">(</mml:mo><mml:mn>1</mml:mn><mml:mo>−</mml:mo><mml:msubsup><mml:mi>P</mml:mi><mml:mrow><mml:mi>S</mml:mi></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msubsup><mml:mo stretchy="false">)</mml:mo><mml:msub><mml:mi>α</mml:mi><mml:mrow><mml:mi>s</mml:mi></mml:mrow></mml:msub><mml:msub><mml:mi>α</mml:mi><mml:mrow><mml:mo>−</mml:mo></mml:mrow></mml:msub><mml:mo stretchy="false">)</mml:mo><mml:msubsup><mml:mi>P</mml:mi><mml:mrow><mml:mi>T</mml:mi><mml:mi>B</mml:mi></mml:mrow><mml:mrow><mml:mi>S</mml:mi></mml:mrow></mml:msubsup><mml:mo>+</mml:mo><mml:mo stretchy="false">(</mml:mo><mml:msubsup><mml:mi>P</mml:mi><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msubsup><mml:mo>+</mml:mo><mml:mo stretchy="false">(</mml:mo><mml:mn>1</mml:mn><mml:mo>−</mml:mo><mml:msubsup><mml:mi>P</mml:mi><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msubsup><mml:mo stretchy="false">)</mml:mo><mml:msub><mml:mi>α</mml:mi><mml:mrow><mml:mo>−</mml:mo></mml:mrow></mml:msub><mml:mo stretchy="false">)</mml:mo><mml:mo stretchy="false">(</mml:mo><mml:mn>1</mml:mn><mml:mo>−</mml:mo><mml:msubsup><mml:mi>P</mml:mi><mml:mrow><mml:mi>T</mml:mi><mml:mi>B</mml:mi></mml:mrow><mml:mrow><mml:mi>S</mml:mi></mml:mrow></mml:msubsup><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mfrac></mml:mrow></mml:math></disp-formula></p><p>To this end, we used the posterior distributions for <italic>α<sub>S</sub></italic> and <italic>α<sub>-</sub></italic> from the earlier model fitting. We also modelled <italic>P<sup>+</sup><sub>S,</sub> P<sup>+</sup><sub>C</sub></italic> and <italic>P<sup>S</sup><sub>TB</sub></italic> as normal distributions with means and variances taken from the univariate meta-analysis described above. The expression for the contribution of subclinical TB to overall transmission was then evaluated using 10<sup>7</sup> samples where we report the median and equal-tailed 95% prediction intervals.</p><p>The above was then re-performed on a survey-by-survey basis. Here, <italic>P<sup>+</sup><sub>S,</sub> P<sup>+</sup><sub>C</sub></italic> and <italic>P<sup>S</sup><sub>TB</sub></italic> were modelled separately for each survey and assumed to be distributed binomially. The distributions used for <italic>α<sub>S</sub></italic> and <italic>α<sub>-</sub></italic> remained unchanged.</p></sec><sec sec-type="appendix" id="s12"><title>Sensitivity analyses</title><sec sec-type="appendix" id="s12-1"><title>Sensitivity analysis 2</title><p>We calculate the duration of infectiousness for subclinical relative to clinical index cases using the model and transition values from <xref ref-type="bibr" rid="bib58">Richards et al., 2021</xref>. The model is shown in <xref ref-type="fig" rid="app1fig1">Appendix 1—figure 1A</xref> with associated transition values, which are also detailed in <xref ref-type="table" rid="app1table3">Appendix 1—table 3</xref>. Disease durations are given by the inverse sum of all transitions out of subclinical (regression or progression) or clinical disease (regression, diagnosis, and treatment or death). We find durations of 5.4 mo (4.6–6.7 mo, 95% PoI) and 7.5 mo (7.0–8.2 mo, 95% PoI) for subclinical and clinical TB, respectively (<xref ref-type="fig" rid="app1fig1">Appendix 1—figure 1B</xref>), giving a relative duration of subclinical versus clinical TB of 0.72 (0.60–0.89, 95% PoI).</p><fig id="app1fig1" position="float"><label>Appendix 1—figure 1.</label><caption><title>Competing risk model (<bold>A</bold>) with transition rates from <xref ref-type="bibr" rid="bib58">Richards et al., 2021</xref> used to estimate the durations of subclinical and clinical tuberculosis (TB) (<bold>B</bold>).</title></caption><graphic mimetype="image" mime-subtype="tiff" xlink:href="elife-82469-app1-fig1-v1.tif"/></fig><table-wrap id="app1table3" position="float"><label>Appendix 1—table 3.</label><caption><title>Progression and regression parameter values taken from (<xref ref-type="bibr" rid="bib58">Richards et al., 2021</xref>) used to estimate the durations of subclinical and clinical tuberculosis (TB) using the competing risk method detailed in the main text.</title><p>See <xref ref-type="bibr" rid="bib58">Richards et al., 2021</xref> for data sources and methods for estimating the above parameters.</p></caption><table frame="hsides" rules="groups"><thead><tr><th align="left" valign="bottom">Parameter</th><th align="left" valign="bottom">Value (95% posterior interval)</th><th align="left" valign="bottom">Units</th></tr></thead><tbody><tr><td align="left" valign="bottom">Regression from subclinical</td><td align="char" char="." valign="bottom">1.54 (1.23–1.90)</td><td align="left" valign="bottom">Per year</td></tr><tr><td align="left" valign="bottom">Progression from subclinical</td><td align="char" char="." valign="bottom">0.67 (0.54–0.86)</td><td align="left" valign="bottom">Per year</td></tr><tr><td align="left" valign="bottom">Regression from clinical</td><td align="char" char="." valign="bottom">0.57 (0.47–0.69)</td><td align="left" valign="bottom">Per year</td></tr><tr><td align="left" valign="bottom">Treatment from clinical</td><td align="char" char="." valign="bottom">0.70</td><td align="left" valign="bottom">Per year</td></tr><tr><td align="left" valign="bottom">Death from clinical</td><td align="char" char="." valign="bottom">0.32 (0.27–0.37)</td><td align="left" valign="bottom">Per year</td></tr></tbody></table></table-wrap></sec></sec><sec sec-type="appendix" id="s13"><title>Supplementary results</title><sec sec-type="appendix" id="s13-1"><title>Estimating the relative infectiousness of subclinical TB</title><sec sec-type="appendix" id="s13-1-1"><title>Detailed model results</title><table-wrap id="app1table4" position="float"><label>Appendix 1—table 4.</label><caption><title>Posterior summary statistics for each model.</title><p>Shown are the effective sample size (n_eff); the ‘R hat’ statistic (Rhat); sample mean (mean); Monte Carlo standard error (mcse); sample standard deviation (sd); and sample quantiles (2.5%, 50%, 97.5%).</p></caption><table frame="hsides" rules="groups"><thead><tr><th align="left" valign="bottom"/><th align="left" valign="bottom">n_eff</th><th align="left" valign="bottom">Rhat</th><th align="left" valign="bottom">Mean</th><th align="left" valign="bottom">mcse</th><th align="left" valign="bottom">sd</th><th align="left" valign="bottom">2.5%</th><th align="left" valign="bottom">50%</th><th align="left" valign="bottom">97.5%</th></tr></thead><tbody><tr><td align="left" valign="bottom" colspan="9"><italic>Viet Nam</italic></td></tr><tr><td align="left" valign="bottom">lambda_B</td><td align="char" char="." valign="bottom">16,683</td><td align="char" char="." valign="bottom">1</td><td align="char" char="." valign="bottom">0.076</td><td align="char" char="." valign="bottom">0.000</td><td align="char" char="." valign="bottom">0.002</td><td align="char" char="." valign="bottom">0.072</td><td align="char" char="." valign="bottom">0.076</td><td align="char" char="." valign="bottom">0.080</td></tr><tr><td align="left" valign="bottom">lambda_Cp</td><td align="char" char="." valign="bottom">14,000</td><td align="char" char="." valign="bottom">1</td><td align="char" char="." valign="bottom">0.222</td><td align="char" char="." valign="bottom">0.001</td><td align="char" char="." valign="bottom">0.078</td><td align="char" char="." valign="bottom">0.089</td><td align="char" char="." valign="bottom">0.216</td><td align="char" char="." valign="bottom">0.393</td></tr><tr><td align="left" valign="bottom">r_s</td><td align="char" char="." valign="bottom">11,465</td><td align="char" char="." valign="bottom">1</td><td align="char" char="." valign="bottom">0.653</td><td align="char" char="." valign="bottom">0.006</td><td align="char" char="." valign="bottom">0.610</td><td align="char" char="." valign="bottom">0.050</td><td align="char" char="." valign="bottom">0.524</td><td align="char" char="." valign="bottom">1.988</td></tr><tr><td align="left" valign="bottom">r_n</td><td align="char" char="." valign="bottom">15,677</td><td align="char" char="." valign="bottom">1</td><td align="char" char="." valign="bottom">0.195</td><td align="char" char="." valign="bottom">0.002</td><td align="char" char="." valign="bottom">0.197</td><td align="char" char="." valign="bottom">0.006</td><td align="char" char="." valign="bottom">0.140</td><td align="char" char="." valign="bottom">0.682</td></tr><tr><td align="left" valign="bottom" colspan="9"><italic>Philippines</italic></td></tr><tr><td align="left" valign="bottom">lambda_B</td><td align="char" char="." valign="bottom">12,836</td><td align="char" char="." valign="bottom">1</td><td align="char" char="." valign="bottom">0.209</td><td align="char" char="." valign="bottom">0.000</td><td align="char" char="." valign="bottom">0.003</td><td align="char" char="." valign="bottom">0.203</td><td align="char" char="." valign="bottom">0.209</td><td align="char" char="." valign="bottom">0.216</td></tr><tr><td align="left" valign="bottom">lambda_Cp</td><td align="char" char="." valign="bottom">8107</td><td align="char" char="." valign="bottom">1</td><td align="char" char="." valign="bottom">0.145</td><td align="char" char="." valign="bottom">0.001</td><td align="char" char="." valign="bottom">0.065</td><td align="char" char="." valign="bottom">0.028</td><td align="char" char="." valign="bottom">0.142</td><td align="char" char="." valign="bottom">0.281</td></tr><tr><td align="left" valign="bottom">r_s</td><td align="char" char="." valign="bottom">4532</td><td align="char" char="." valign="bottom">1</td><td align="char" char="." valign="bottom">2.644</td><td align="char" char="." valign="bottom">0.044</td><td align="char" char="." valign="bottom">2.940</td><td align="char" char="." valign="bottom">0.683</td><td align="char" char="." valign="bottom">1.910</td><td align="char" char="." valign="bottom">9.700</td></tr><tr><td align="left" valign="bottom">r_n</td><td align="char" char="." valign="bottom">15,022</td><td align="char" char="." valign="bottom">1</td><td align="char" char="." valign="bottom">0.172</td><td align="char" char="." valign="bottom">0.001</td><td align="char" char="." valign="bottom">0.131</td><td align="char" char="." valign="bottom">0.010</td><td align="char" char="." valign="bottom">0.145</td><td align="char" char="." valign="bottom">0.484</td></tr><tr><td align="left" valign="bottom" colspan="9"><italic>ACT3</italic></td></tr><tr><td align="left" valign="bottom">lambda_B</td><td align="char" char="." valign="bottom">13,924</td><td align="char" char="." valign="bottom">1</td><td align="char" char="." valign="bottom">0.046</td><td align="char" char="." valign="bottom">0.000</td><td align="char" char="." valign="bottom">0.004</td><td align="char" char="." valign="bottom">0.038</td><td align="char" char="." valign="bottom">0.046</td><td align="char" char="." valign="bottom">0.054</td></tr><tr><td align="left" valign="bottom">lambda_Cp</td><td align="char" char="." valign="bottom">10,476</td><td align="char" char="." valign="bottom">1</td><td align="char" char="." valign="bottom">0.058</td><td align="char" char="." valign="bottom">0.001</td><td align="char" char="." valign="bottom">0.055</td><td align="char" char="." valign="bottom">0.002</td><td align="char" char="." valign="bottom">0.042</td><td align="char" char="." valign="bottom">0.203</td></tr><tr><td align="left" valign="bottom">r_s</td><td align="char" char="." valign="bottom">9133</td><td align="char" char="." valign="bottom">1</td><td align="char" char="." valign="bottom">6.843</td><td align="char" char="." valign="bottom">0.074</td><td align="char" char="." valign="bottom">7.052</td><td align="char" char="." valign="bottom">0.612</td><td align="char" char="." valign="bottom">4.406</td><td align="char" char="." valign="bottom">27.192</td></tr><tr><td align="left" valign="bottom">r_n</td><td align="char" char="." valign="bottom">7628</td><td align="char" char="." valign="bottom">1</td><td align="char" char="." valign="bottom">2.696</td><td align="char" char="." valign="bottom">0.049</td><td align="char" char="." valign="bottom">4.273</td><td align="char" char="." valign="bottom">0.143</td><td align="char" char="." valign="bottom">1.337</td><td align="char" char="." valign="bottom">15.314</td></tr><tr><td align="left" valign="bottom" colspan="9"><italic>Bangladesh</italic></td></tr><tr><td align="left" valign="bottom">lambda_B</td><td align="char" char="." valign="bottom">10,804</td><td align="char" char="." valign="bottom">1</td><td align="char" char="." valign="bottom">0.041</td><td align="char" char="." valign="bottom">0.000</td><td align="char" char="." valign="bottom">0.002</td><td align="char" char="." valign="bottom">0.038</td><td align="char" char="." valign="bottom">0.041</td><td align="char" char="." valign="bottom">0.044</td></tr><tr><td align="left" valign="bottom">lambda_Cp</td><td align="char" char="." valign="bottom">11,415</td><td align="char" char="." valign="bottom">1</td><td align="char" char="." valign="bottom">0.349</td><td align="char" char="." valign="bottom">0.002</td><td align="char" char="." valign="bottom">0.240</td><td align="char" char="." valign="bottom">0.037</td><td align="char" char="." valign="bottom">0.297</td><td align="char" char="." valign="bottom">0.944</td></tr><tr><td align="left" valign="bottom">r_s</td><td align="char" char="." valign="bottom">7640</td><td align="char" char="." valign="bottom">1</td><td align="char" char="." valign="bottom">2.101</td><td align="char" char="." valign="bottom">0.036</td><td align="char" char="." valign="bottom">3.174</td><td align="char" char="." valign="bottom">0.076</td><td align="char" char="." valign="bottom">1.113</td><td align="char" char="." valign="bottom">10.723</td></tr></tbody></table></table-wrap><fig id="app1fig2" position="float"><label>Appendix 1—figure 2.</label><caption><title>Model fits for each model.</title><p>Shown are prevalence of infection in members of households with different index case types (background, subclinical and smear-negative, subclinical and smear-positive, clinical and smear-negative, clinical and smear-positive). Error bars show median and 95% credible intervals. Shaded regions show posterior median and 95% posterior intervals. +ve = positive, -ve = negative.</p></caption><graphic mimetype="image" mime-subtype="tiff" xlink:href="elife-82469-app1-fig2-v1.tif"/></fig><fig id="app1fig3" position="float"><label>Appendix 1—figure 3.</label><caption><title>Trace plots for each model.</title></caption><graphic mimetype="image" mime-subtype="tiff" xlink:href="elife-82469-app1-fig3-v1.tif"/></fig><fig id="app1fig4" position="float"><label>Appendix 1—figure 4.</label><caption><title>Correlation plots for each model.</title></caption><graphic mimetype="image" mime-subtype="tiff" xlink:href="elife-82469-app1-fig4-v1.tif"/></fig><fig id="app1fig5" position="float"><label>Appendix 1—figure 5.</label><caption><title>Autocorrelation plots for each model.</title></caption><graphic mimetype="image" mime-subtype="tiff" xlink:href="elife-82469-app1-fig5-v1.tif"/></fig></sec></sec></sec><sec sec-type="appendix" id="s14"><title>Sensitivity analyses</title><sec sec-type="appendix" id="s14-1"><title>Sensitivity analysis 1</title><p>Omitting Bangladesh (2007) (<xref ref-type="bibr" rid="bib80">Zaman et al., 2012</xref>) and ACT3 (2017) (<xref ref-type="bibr" rid="bib40">Marks et al., 2019</xref>) from the analysis.</p><fig id="app1fig6" position="float"><label>Appendix 1—figure 6.</label><caption><title>Affected results for sensitivity analysis 1.</title><p>Figure details for A, B and C are as per <xref ref-type="fig" rid="fig2">Figures 2A, B</xref>, <xref ref-type="fig" rid="fig3">3D</xref> in the main text, respectively.</p></caption><graphic mimetype="image" mime-subtype="tiff" xlink:href="elife-82469-app1-fig6-v1.tif"/></fig></sec><sec sec-type="appendix" id="s14-2"><title>Sensitivity analysis 2</title><p>Using an alternative duration of subclinical TB relative to clinical TB from <xref ref-type="bibr" rid="bib58">Richards et al., 2021</xref>.</p><fig id="app1fig7" position="float"><label>Appendix 1—figure 7.</label><caption><title>Affected results for sensitivity analysis 2.</title><p>Figure details for A, B and C are as per <xref ref-type="fig" rid="fig2">Figures 2A, B</xref>, <xref ref-type="fig" rid="fig3">3D</xref> in the main text, respectively.</p></caption><graphic mimetype="image" mime-subtype="tiff" xlink:href="elife-82469-app1-fig7-v1.tif"/></fig></sec><sec sec-type="appendix" id="s14-3"><title>Sensitivity analysis 3</title><p>Assuming infected households have a 50% greater background risk of infection than non-infected households.</p><fig id="app1fig8" position="float"><label>Appendix 1—figure 8.</label><caption><title>Affected results for sensitivity analysis 3.</title><p>Figure details for A, B and C are as per <xref ref-type="fig" rid="fig2">Figures 2A, B</xref>, <xref ref-type="fig" rid="fig3">3D</xref> in the main text, respectively.</p></caption><graphic mimetype="image" mime-subtype="tiff" xlink:href="elife-82469-app1-fig8-v1.tif"/></fig></sec><sec sec-type="appendix" id="s14-4"><title>Sensitivity analysis 4</title><p>Assuming sputum smear-positive TB has twice the duration of smear-negative TB.</p><fig id="app1fig9" position="float"><label>Appendix 1—figure 9.</label><caption><title>Affected results for sensitivity analysis 4.</title><p>Figure details for A, B and C are as per <xref ref-type="fig" rid="fig2">Figures 2A, B</xref>, <xref ref-type="fig" rid="fig3">3D</xref> in the main text, respectively.</p></caption><graphic mimetype="image" mime-subtype="tiff" xlink:href="elife-82469-app1-fig9-v1.tif"/></fig></sec><sec sec-type="appendix" id="s14-5"><title>Sensitivity analysis 5</title><p>Modelling all studies simultaneously, assuming local background risks of infection for each study and global values across all studies for the remaining cumulative hazards.</p><fig id="app1fig10" position="float"><label>Appendix 1—figure 10.</label><caption><title>Affected results for sensitivity analysis 5.</title><p>Figure details for A, B and C are as per <xref ref-type="fig" rid="fig2">Figures 2A, B</xref>, <xref ref-type="fig" rid="fig3">3D</xref> in the main text, respectively.</p></caption><graphic mimetype="image" mime-subtype="tiff" xlink:href="elife-82469-app1-fig10-v1.tif"/></fig></sec></sec></app></app-group></back><sub-article article-type="editor-report" id="sa0"><front-stub><article-id pub-id-type="doi">10.7554/eLife.82469.sa0</article-id><title-group><article-title>Editor's evaluation</article-title></title-group><contrib-group><contrib contrib-type="author"><name><surname>Kana</surname><given-names>Bavesh D</given-names></name><role specific-use="editor">Reviewing Editor</role><aff><institution-wrap><institution-id institution-id-type="ror">https://ror.org/03rp50x72</institution-id><institution>University of the Witwatersrand</institution></institution-wrap><country>South Africa</country></aff></contrib></contrib-group></front-stub><body><p>This important study estimates the amount of tuberculosis transmission attributable to subclinical (asymptomatic) cases at the population level. The authors rely on existing survey data on household contacts of index cases with tuberculosis, and their respective symptomatic and bacteriological status. A solid, novel approach is proposed to incorporate this existing data to produce meaningful indicators of the relative importance of subclinical tuberculosis in sustaining the global tuberculosis epidemic. In addition to being of interest to tuberculosis epidemiologists, these results will be an important resource for policymakers in the ongoing debate about tuberculosis case finding and the role of symptom screening algorithms.</p></body></sub-article><sub-article article-type="decision-letter" id="sa1"><front-stub><article-id pub-id-type="doi">10.7554/eLife.82469.sa1</article-id><title-group><article-title>Decision letter</article-title></title-group><contrib-group content-type="section"><contrib contrib-type="editor"><name><surname>Kana</surname><given-names>Bavesh D</given-names></name><role>Reviewing Editor</role><aff><institution-wrap><institution-id institution-id-type="ror">https://ror.org/03rp50x72</institution-id><institution>University of the Witwatersrand</institution></institution-wrap><country>South Africa</country></aff></contrib></contrib-group></front-stub><body><boxed-text id="sa2-box1"><p>In the interests of transparency, eLife publishes the most substantive revision requests and the accompanying author responses.</p></boxed-text><p><bold>Decision letter after peer review:</bold></p><p>Thank you for submitting your article &quot;Estimating the contribution of subclinical tuberculosis disease to transmission: an individual patient data analysis from prevalence surveys&quot; for consideration by <italic>eLife</italic>. Your article has been reviewed by 3 peer reviewers, and the evaluation has been overseen by a Reviewing Editor and Bavesh Kana as the Senior Editor. The reviewers have opted to remain anonymous.</p><p>The reviewers have discussed their reviews with one another, and the Reviewing Editor has drafted this to help you prepare a revised submission.</p><p>Essential revisions:</p><p>1. The authors should run a sensitivity analysis on:</p><p>– The assumption that smear and symptom status are constant over time since this is almost certainly not the case. This could be accomplished, for example, by using the model described in sensitivity analysis #2 – by assigning estimates of per–unit–time relative infectiousness to each state in that model and then calibrating those estimates to the cumulative hazard ratios that are estimated in this study.</p><p>– The assumption that the background hazard of infection is the same across all households in a given survey/study. For example, do results change much if households with an index case have a 50% higher background hazard of infection?</p><p>– The durations of smear–positive and smear–negative TB are the same. For example, do results change much if smear–positive TB lasts twice as long as smear–negative TB?</p><p>2. Did the authors consider fitting a single cumulative hazard model for all 5 countries, that would allow only Λ_B (background cumulative hazard) to vary by country, rather than fitting 5 separate models and then pooling the estimates for the other lambdas after fitting? Does the former approach allow for estimation of the other λ's with more precision – unless the authors have reason to believe the λ's will vary by setting?</p><p>3. How were households with multiple TB cases treated in the analysis? If they were excluded, what effect is this likely to have on the analysis? This should be described somewhere (at least in the supplement) and the likely impact on results discussed.</p><p>4. Given how much the Philippines 1997 prevalence survey seems to be driving results (in terms of the larger sample size of household contacts), it would be useful to show how the percent of transmission results in Figure 3 look when applied to the Philippines 1997 survey data. Currently only one of the four surveys/studies used to derive the relative infectiousness estimates (Vietnam 2007) is used in the percent of transmission estimates.</p><p>Other issues that should be addressed:</p><p>1. The finding that subclinical TB is likely to be more transmissible than symptomatic TB is counterintuitive and warrants much more discussion.</p><p>2. It may be useful to clarify to readers how Mtb infection differs from subclinical TB (or TB more generally).</p><p>3. Figure 1 presents the odds ratios for infection of smear–positive vs. smear–negative (on the left) and clinical vs. subclinical TB (on the right). Figure 2 presents relative per–unit–time infectiousness estimates in the exact opposite way (smear–negative vs. smear–positive and subclinical vs. clinical, and in the opposite order). It would be clearer for readers if the presentation was more consistent across figures (and accompanying text).</p><p>4. Presenting figure 1 in terms of the relative cumulative hazard rather than (or in addition to) odds ratios would also help with the continuity between figures 1 and 2 (since the estimates of per–unit–time relative infectiousness used the relative cumulative hazards, not odds ratios).</p><p>5. Methods text should contain a bit more information on how the estimated durations of subclinical and clinical TB were used to convert the infection odds ratios into per–unit–time relative infectiousness estimates – this is clear in the appendix but not in the main text.</p><p>6. In the abstract, the term &quot;individual population data&quot; is a bit unclear.</p><p>7. Supplementary figure 2 may be mislabeled – for Bangladesh, it seemed that only smear–positive cases were included but the graph makes it look like only subclinical cases were included. Are the other panels similarly mislabeled?</p><p>8. p5 (line 7–9) Sentence could be made clearer. What does it mean there is a &quot;disconnect&quot;? Is this a pathological link? or causality? lack of evidence?</p><p>9. Results: The estimations of per unit time infectiousness of subclinical TB should be brought up front in the results, before the meta–analysis.</p><p>10. The discussion around the limitations of household contact and transmission assessment is very limited. This study inherits the limitations of the source studies, a more robust discussion around this issue would be beneficial.</p><p>11. Sensitivity of symptom screening algorithms is not discussed: TB disease, although split it into two categories is more likely a continuum.</p><p>12. Discussion page 15 (L11–L12): Is it relevant to mention SARS–CoV and Malaria here? Bringing asymptomatic transmission as a transversal subject across diseases without providing more epidemiological insights seems gratuitous. This should be removed.</p><p>13. The implications on policy and directly on recommendations around symptom screening in WHO plans are not commented on enough, this is where these results could be more useful.</p><p>14. page 16, line 32: The sentence &quot;This is in keeping with increasing data showing that symptoms, in particular the classic TB symptom of cough, are not closely correlated to the amount of Mtb exhaled [28,29] &quot; This is not completely consistent with Ref [28] by Theron et al. Nature Med 2020. The authors actually found that cough alone was a strong indicator for the measured transmissibility supplementary table 8. OR for CASS positivity for cough: 3.38 (1.90–5.99) despite the overall symptom score being negatively associated with transmissibility.</p><p>15. Supplementary Table 1: would be useful to add information on the definition of symptoms used to define subclinical against clinical disease.</p><p>16. Is there evidence from the literature regarding the subclinical transmission using results from whole genome sequencing? For example, Xu et al. (plos medicine) found in a study from Spain that 5/14 (35.7%) cases likely transmitted TB well before symptom onset. This can be discussed.</p><p><italic>Reviewer #1 (Recommendations for the authors):</italic></p><p>Slow declines in the global burden of TB are driven by a large gap between TB prevalence and the number of people with TB that are diagnosed and treated. Subclinical TB contributes to this &quot;prevalence–notification gap&quot;; a substantial (around 50%) of people with TB disease do not present with TB symptoms (or have fewer or milder symptoms that would not screen positive on a typical symptom screening questionnaire). The extent to which detecting and curing people with subclinical TB is important to reducing population–level TB transmission (and thus TB burden) is unclear, and depends both on infectiousness (how infectious people with subclinical TB are at any given point in time) and duration (how long they are expected to have TB before being detected or resolving on their own; and their associated future trajectory of infectiousness). Shedding light on this question could have a substantial impact on the global strategy for ending TB, including whether it is important for mass screening efforts (and other strategies to reduce the prevalence–notification gap) to detect those with subclinical TB and, if so, how to prioritize future diagnostics that best accomplish this (as the authors discuss in the last paragraph of the Discussion section).</p><p>In this study, the authors aimed to assess the infectiousness of people with subclinical TB (relative to symptomatic TB) at any given point in time; i.e., adjusting for the duration. To do this, they used individual– and household–level data from 4 cross–sectional surveys/studies that collected information on the prevalence of symptomatic TB, subclinical TB, and TB infection in households. The cumulative relative infectiousness of subclinical vs. symptomatic TB can be estimated by assessing how much higher the prevalence of TB infection is in households with a subclinical vs. symptomatic TB case. However, this estimate of cumulative relative infectiousness combines both pre–unit–time infectiousness and duration. To adjust for the duration and estimate per–unit–time relative infectiousness, the authors employed a cumulative hazard model that they then adjusted for estimates of the duration of symptomatic and subclinical TB; these duration estimates came from a mathematical model of TB natural history that is described in a different paper by Ku et al.</p><p>Strengths of the analysis include the separation of the duration of different forms of TB to estimate the per–unit–time relative infectiousness, as well as the Bayesian framework used to infer the cumulative relative hazards of infection from different forms of TB. Weaknesses include a number of assumptions made in the analysis that are unlikely to hold true and could bias results: the assumption that household index cases have continually had the same form of TB that they had when they were detected in a prevalence survey (or active case finding study), that smear–positive and smear–negative forms of TB are of the same duration, and that the background hazard of infection is the same for all households in a given survey/study. It would be useful for the authors to conduct a sensitivity analysis on these three assumptions. For example, in sensitivity analysis they estimate the durations of subclinical and symptomatic TB using a model that allows populations to transition between these states – could that model not be used to infer the per–unit–time relative infectiousness estimates? Additionally, historical data from the pre–antibiotic era (and a recent modeling study based on this data https://doi.org/10.1073/pnas.2211045119) suggests differential disease duration by smear status. In countries where a lot of TB is still diagnosed using smears (or was at the time of these prevalence surveys), differential detection/treatment probabilities could also lead to differential disease duration. This could have important implications for the analysis, given that symptom and smear status seem to be somewhat correlated in prevalence surveys (subclinical cases are much more likely to be smear–negative than smear–positive) and that smear status is more strongly predictive of infectiousness.</p><p>In all three cases, it is difficult to predict the direction and magnitude of potential bias on results, which is why sensitivity analysis is important and could strengthen the extent to which the authors' conclusions are justified by the analysis (currently this is somewhat unclear). Furthermore, the conclusion that subclinical TB is actually more transmissible than symptomatic TB is counterintuitive and warrants more discussion than is currently included in the study.</p><p>Despite these limitations, the broad conclusion that a substantial portion of TB transmission comes from subclinical cases will probably continue to hold even with adjustments to the analysis and additional sensitivity analyses. Even at the lower bound of the wide current estimated prediction interval, 27% of transmission coming from TB is substantial. This is an important finding, and thus additional analysis/revisions that can strengthen the robustness of this finding would be valuable.</p><p>Suggestions on analysis</p><p>– Suggest running sensitivity analysis on the assumption that smear and symptom status are constant over time since this is almost certainly not the case. This could be accomplished, for example, by using the model described in sensitivity analysis #2 – by assigning estimates of per–unit–time relative infectiousness to each state in that model and then calibrating those estimates to the cumulative hazard ratios that are estimated in this study.</p><p>– Suggest running sensitivity analysis on the assumption that the background hazard of infection is the same across all households in a given survey/study. For example, do results change much if households with an index case have a 50% higher background hazard of infection?</p><p>– Suggest running sensitivity analysis on the assumption that the durations of smear–positive and smear–negative TB are the same. For example, do results change much if smear–positive TB lasts twice as long as smear–negative TB?</p><p>– Did the authors consider fitting a single cumulative hazard model for all 5 countries, which would allow only Λ_B (background cumulative hazard) to vary by country, rather than fitting 5 separate models and then pooling the estimates for the other lambdas after fitting? I wonder if the former approach could allow for the estimation of the other lambdas with more precision – unless the authors have reason to believe the lambdas will vary by setting.</p><p>– How were households with multiple TB cases treated in the analysis? If they were excluded, what effect is this likely to have on the analysis? The effect could be to exclude those households that had the highest hazard of infection. This should be described somewhere (at least in the supplement) and the likely impact on results discussed.</p><p>– Given how much the Philippines 1997 prevalence survey seems to be driving results (in terms of the larger sample size of household contacts), it would be useful to show how the percent of transmission results in Figure 3 look when applied to the Philippines 1997 survey data. Currently only one of the four surveys/studies used to derive the relative infectiousness estimates (Vietnam 2007) is used in the percent of transmission estimates.</p><p>Suggestions on presentation</p><p>– The finding that subclinical TB is likely to be more transmissible than symptomatic TB is counterintuitive and warrants much more discussion (I don't believe this is currently discussed at all)</p><p>– Depending on the intended audience, it may be useful to clarify to readers how Mtb infection differs from subclinical TB (or TB more generally).</p><p>– Figure 1 presents the odds ratios for infection of smear–positive vs. smear–negative (on the left) and clinical vs. subclinical TB (on the right). Figure 2 presents relative per–unit–time infectiousness estimates in the exact opposite way (smear–negative vs. smear–positive and subclinical vs. clinical, and in the opposite order). It would be clearer for readers if the presentation was more consistent across figures (and accompanying text).</p><p>– Presenting figure 1 in terms of the relative cumulative hazard rather than (or in addition to) odds ratios would also help with the continuity between figures 1 and 2 (since the estimates of per–unit–time relative infectiousness used the relative cumulative hazards, not odds ratios).</p><p>– Methods text should contain a bit more information (like 1 sentence) on how the estimated durations of subclinical and clinical TB were used to convert the infection odds ratios into per–unit–time relative infectiousness estimates – this is clear in the appendix but not in the main text.</p><p><italic>Reviewer #2 (Recommendations for the authors):</italic></p><p>Emery et al., present for the first time quantitative estimates of the relative infectiousness of subclinical TB cases and the overall contribution of these to the global and country–specific (selected countries) ongoing TB transmission. The authors review and aggregate individual–level data from studies where household contacts and their index cases were assessed for their bacteriological and symptomatic status in order to reclassify and reanalyse household transmission accordingly. They produce aggregated estimates of the Odds Ratio of TB infection for households of subclinical TB index cases vs clinical index cases, and more importantly, they use a novel approach that uses cumulative hazard models to estimate the per unit infectiousness of subclinical TB. This approach accounts for important considerations like background TB transmission and duration of the infectious period. Their results (for ORs and infectiousness) show no significant advantage in the clinical index cases for infection. In light of these results, one can conclude that subclinical TB cases have no transmission disadvantage compared to symptomatic TB cases, and given its high prevalence in high–burden settings might be silently contributing disproportionately to the overall burden of TB. The implications of these results are that current approaches to active case finding and household investigation interventions put most of their efforts to identify symptomatic TB cases, potentially missing important sources of infection.</p><p>The main observable limitations of this work are &quot;inherited&quot; from the sources of data, namely:</p><p>1. Household contacts of index cases are a very indirect (although useful) way of assessing TB transmission and infectiousness: The direction of transmission (index case to contact) can never truly be asserted, not even can it be ruled out to have occurred from external sources. The authors only briefly mention this but it is the main source of uncertainty when discussing TB household transmission investigation. The approach here proposed does not address these points, and thus it remains a gap and a challenge in the research field.</p><p>2. Assessment of TB symptoms is in itself a type of diagnostic tool with a measurable level of performance (sensitivity/specificity). This can drastically alter the estimation of relative infectiousness by clinical/subclinical status. The authors don't mention this and it is not immediately clear how this was done in the source studies.</p><p>I have enjoyed having the opportunity of reviewing this manuscript, which I think can be a widely used resource for policymakers, mathematical modellers, and epidemiologists working on TB. The main advantages and solid points I found are summarised in my public review and assessment. Here I add some points that I think need to be addressed to improve the presentation and conveyance of the message.</p><p>– p5 (line 7–9) Sentence could be made clearer. What does it mean there is a &quot;disconnect&quot;? Is this a pathological link? or causality? lack of evidence?</p><p>– Results: In my view, the estimations of per unit time infectiousness of subclinical TB should be brought up front in the results, before the meta–analysis.</p><p>– The discussion around the limitations of household contact and transmission assessment is very limited. As I said before, this study inherits the limitations of the source studies but a more robust discussion around this issue would feel healthier (Kendall editorial note, etc..)</p><p>– Sensitivity of symptom screening algorithms is not discussed: TB disease, although we split it into two categories is more likely a continuum, and how good we get at identifying those signs determines how much we will trust these results in the future.</p><p>– Discussion page 15 (L11–L12): I wonder how relevant is to mention SARS–CoV and Malaria here. Bringing asymptomatic transmission as a transversal subject across diseases without providing more epidemiological insights seems gratuitous. I would suggest either removing or expanding.</p><p>– The implications on policy and directly on recommendations around symptom screening in WHO plans are not commented on enough, and I believe this is where these results could be more useful.</p><p><italic>Reviewer #3 (Recommendations for the authors):</italic></p><p>The investigators applied a statistical framework to synthesize information from prevalence surveys of active TB disease (regardless of symptoms) and latent tuberculosis infection among household contacts of index cases from tuberculosis surveys. They estimated an odds ratio of 1.2 (95% CI: 0.6–2.3) for infection in a household with a clinical versus subclinical index case (not considering the duration of the disease). They estimated that 68% (27–92%) of global tuberculosis transmission was from subclinical TB.</p><p>The major strength of the study is the ability to collect relevant information from prevalence surveys and integrate it using a sophisticated statistical framework. The result is novel in the sense that no such estimation has been provided before.</p><p>One major limitation of the study, as acknowledged by the authors, is the very wide confidence interval (27–92%) for the estimated global proportion of transmission contributed by subclinical disease. The wide 95% CI was consistent with a range from modest to very large impact of subclinical TB and therefore has different policy implications for tuberculosis control. It will be useful if the authors could indicate the major source of uncertainty behind this confidence interval. In other words, where and how should we collect more data to improve the precision of this estimation procedure?</p><p>Another limitation of the study is the lack of consideration of the conversion between subclinical and clinical TB status (i.e., not a one–way street) in the cumulative hazard model. Its impact on the main finding (the transmission contribution from subclinical disease) remains unclear. Considering the natural history of TB is usually from subclinical to clinical (with conversion and reversion along the way), it is anticipated that the cumulative latent infection among household contacts of a clinical TB index case would likely be contributed by both the clinical period as well as the subclinical period. This &quot;misclassification&quot; of clinical vs. subclinical TB seems to bias the relative infectiousness (clinical vs. subclinical) towards the null value of OR=1, under the hypothesis that clinical TB is more infectious than subclinical TB. In other words, it might therefore underestimate the relative transmissibility of clinical TB.</p><p>One of the major results of the study was that an estimated 68% (27–92%, 95% PrI) of global transmission was from subclinical TB. Given that there is substantial between–country variation in the % of subclinical TB among prevalent cases (Figure 3A) and variation in the duration of subclinical TB (see. Ku C–C et al. 2021, citation #32 of this paper), the country–level heterogeneity of the % transmission from subclinical cases should be acknowledged when making inference on the global estimate, accounting for the burden of disease in each geography. The current global estimate was based on the pooled parameter values from 14 countries (not including major countries like India and China) without formal consideration of the burden of disease. I, therefore, found the claim of global estimate a bit too strong.</p><p>Despite all these limitations, the present research is considered novel and will contribute to the field of TB epidemiology. It will generate more discussion (and debate) on the importance of detecting and treating subclinical TB. Better data and further refinement of the analytic framework will generate more precise information which will prove to be useful for the revision of TB control strategies.</p></body></sub-article><sub-article article-type="reply" id="sa2"><front-stub><article-id pub-id-type="doi">10.7554/eLife.82469.sa2</article-id><title-group><article-title>Author response</article-title></title-group></front-stub><body><disp-quote content-type="editor-comment"><p>Essential revisions:</p><p>1. The authors should run a sensitivity analysis on:</p><p>– The assumption that smear and symptom status are constant over time since this is almost certainly not the case. This could be accomplished, for example, by using the model described in sensitivity analysis #2 – by assigning estimates of per–unit–time relative infectiousness to each state in that model and then calibrating those estimates to the cumulative hazard ratios that are estimated in this study.</p></disp-quote><p>The cumulative hazard approach we have used in this work was chosen to suit the available data and corresponding study designs. We agree that the assumption of a single disease phase (e.g. just subclinical, smear–negative) is a limitation of this approach and acknowledge this in our discussion (see Page 18, Line 11).</p><p>We appreciate the suggestion of changing the approach to a more dynamic model. This would ultimately change the methodology of the paper however and, in the absence of additional data with which to fit the more complex model, would rely on additional assumptions. While an interesting approach, we prefer to retain the current balance between data, assumptions and model complexity.</p><p>See Page 18, Line 11 for an expanded discussion of this limitation:</p><p>“An important limitation of our cumulative hazard model is the assumption that index cases only ever had the disease type they were diagnosed with during screening (e.g. sputum smear–positive, subclinical). Instead, it is more likely that individuals will fluctuate between being, for example, subclinical and clinical [31]. The impact such additional dynamics would have on our results remains uncertain, since they would depend on the detailed model of tuberculosis natural history assumed. Such a model would require additional data to prevent the need for additional assumptions.”</p><disp-quote content-type="editor-comment"><p>– The assumption that the background hazard of infection is the same across all households in a given survey/study. For example, do results change much if households with an index case have a 50% higher background hazard of infection?</p></disp-quote><p>Thank you for the suggestion, we have included this as ‘Sensitivity analysis 3’.</p><p>See Page 10, Line 29 for a description of the methods:</p><p>“Sensitivity analysis 3: To explore the impact of a differential background risk of infection amongst households with and without index cases, the analysis was repeated assuming a 50% increase in the background risk of infection for those households with an index case.”</p><p>See Page 15, Line 31 for a description of the results:</p><p>Sensitivity analysis 3: The above analysis was repeated assuming that households with an index case have a 50% greater background risk of infection than households with no index case. Affected results are shown in Supplementary Figure 8. The infectiousness of subclinical TB per unit time relative to clinical TB increased to 2.44 (0.60–10.06, 95% PrI), with corresponding values of 74% (29–95%, 95% PrI) of global transmission from subclinical TB, ranging from 53% (20–85%, 95% PrI) in Nigeria to 88% (61–97%, 95% PrI) in Mongolia.</p><p>See Page 17 in the Supplementary Materials for plots of the results.</p><disp-quote content-type="editor-comment"><p>– The durations of smear–positive and smear–negative TB are the same. For example, do results change much if smear–positive TB lasts twice as long as smear–negative TB?</p></disp-quote><p>We have also run this sensitivity analysis as ‘Sensitivity analysis 4’.</p><p>Please see Page 11, Line 1 for a description of the methods:</p><p>“Sensitivity analysis 4: Instead of assuming equal durations for sputum smear–positive and smear–negative TB, the above analysis was repeated assuming that sputum smear–positive TB has twice the duration of smear–negative TB.”</p><p>And page 16, Line 6 for a description of the results:</p><p>“Sensitivity analysis 4: The above analysis was repeated assuming sputum smear–positive TB has twice the duration of smear–negative TB. Affected results are shown in Supplementary Figure 9. The infectiousness of subclinical TB per unit time relative to clinical TB was largely unchanged at 1.94 (0.63–6.16, 95% PrI), with corresponding values of 70% (29–93%, 95% PrI) of global transmission from subclinical TB, ranging from 49% (21–79%, 95% PrI) in Nigeria to 86% (63–96%, 95% PrI) in Mongolia.”</p><p>See Page 18 in the Supplementary Materials for plots of the results.</p><disp-quote content-type="editor-comment"><p>2. Did the authors consider fitting a single cumulative hazard model for all 5 countries, that would allow only Λ_B (background cumulative hazard) to vary by country, rather than fitting 5 separate models and then pooling the estimates for the other lambdas after fitting? Does the former approach allow for estimation of the other λ's with more precision – unless the authors have reason to believe the λ's will vary by setting?</p></disp-quote><p>An interesting suggestion, which we have included as ‘Sensitivity analysis 5’.</p><p>Methods are described on Page 11, Line 5:</p><p>“Sensitivity analysis 5: In the main analysis each study was modelled separately, with the results combined using meta–analyses. As a sensitivity we model all studies simultaneously, assuming local background risks of infection for each study and global values across all studies for the remaining cumulative hazards.”</p><p>And see Page 16, Line 14 for a description of the results:</p><p>“Sensitivity analysis 5: The above analysis was repeated with all studies modelled simultaneously, assuming local background risks of infection for each study and global values across all studies for the remaining cumulative hazards. Affected results are shown in Supplementary Figure 10. The infectiousness of subclinical TB per unit time relative to clinical TB decreased to 1.39 (0.50–4.02, 95% PrI), with corresponding values of 58% (20–88%, 95% PrI) of global transmission from subclinical TB, ranging from 34% (15–62%, 95% PrI) in Nigeria to 76% (52–91%, 95% PrI) in Mongolia.”</p><p>See Page 19 in the Supplementary Materials for plots of the results.</p><p>We have also added some comments on all of the sensitivities in the discussion (see Page 16, Line 33):</p><p>“Our results were relatively robust to the sensitivities that were performed. In two cases, that is the removal of two studies (sensitivity analysis 1) and the use of a single model to account for all studies (sensitivity analysis 5), our estimates for the relative infectiousness of subclinical TB relative to clinical TB and the proportion of transmission from subclinical TB were lower than in the primary analysis. Our qualitative results and conclusions remain unchanged however. All other sensitivities resulted in higher estimates.”</p><disp-quote content-type="editor-comment"><p>3. How were households with multiple TB cases treated in the analysis? If they were excluded, what effect is this likely to have on the analysis? This should be described somewhere (at least in the supplement) and the likely impact on results discussed.</p></disp-quote><p>Households with multiple index cases were excluded from the analysis, as the premise of the household contact approach is to ascribe the incremental infections to the household index case. This assumption becomes difficult to interpret if there are multiple household index cases (e.g. in terms of unknown differences in disease onset), resulting in an inability to ‘divide’ the incremental infections in the household between the index cases. Excluding these households results in a slight loss of power (co–prevalent household index cases were below 10% across studies), but we feel this is worth the resulting clarity of the association.</p><p>We have added the following in the text (Page 3, Line 4 of the Supplementary Materials):</p><p>“Households with multiple co–prevalent index cases were excluded from the analysis, to retain the premise of the analysis which links infections above the community level to the characteristics of the single index case. Co–prevalent cases were absent in one study (ACT3 [5]) and below 10% in other studies, limiting the impact on power or introduction of bias.”</p><disp-quote content-type="editor-comment"><p>4. Given how much the Philippines 1997 prevalence survey seems to be driving results (in terms of the larger sample size of household contacts), it would be useful to show how the percent of transmission results in Figure 3 look when applied to the Philippines 1997 survey data. Currently only one of the four surveys/studies used to derive the relative infectiousness estimates (Vietnam 2007) is used in the percent of transmission estimates.</p></disp-quote><p>Thank you for the suggestion. Whilst we agree that this would be an interesting addition, given the number of surveys used and their range of proportions subclinical and sputum smear–positive (see Figure 3), the impact on the proportion of global transmission from subclinical TB is likely to be marginal, leaving our qualitative results and conclusions unchanged. We have instead focused on the three additional sensitivity analyses detailed above.</p><disp-quote content-type="editor-comment"><p>Other issues that should be addressed:</p><p>1. The finding that subclinical TB is likely to be more transmissible than symptomatic TB is counterintuitive and warrants much more discussion.</p></disp-quote><p>We agree that subclinical TB is unlikely to be more transmissible than clinical TB and have added further text to the discussion to address this point.</p><p>See Page 17, Line 21:</p><p>“Indeed, the paucity of the data provides an estimate that is consistent with subclinical TB being more infectious than clinical TB. Whilst we consider this to be implausible, we have avoided introducing priors that rule out this possibility. Instead we would emphasise that our results reflect the uncertainty of the data. The lower bound of our estimate precludes subclinical TB being significantly less infectious than clinical TB, while there is no evidence against subclinical TB being as infectious as clinical TB.”</p><disp-quote content-type="editor-comment"><p>2. It may be useful to clarify to readers how Mtb infection differs from subclinical TB (or TB more generally).</p></disp-quote><p>Thank you. We have added a line in the introduction to this effect.</p><p>See Page 4, Line: 31:</p><p>“We distinguish both disease states from Mtb infection, whereby individuals may test positive on a Tuberculin Skin Test (TST) or Interferon–Γ Release Assay (IGRA) but do not have bacteriologically–confirmed disease.”</p><disp-quote content-type="editor-comment"><p>3. Figure 1 presents the odds ratios for infection of smear–positive vs. smear–negative (on the left) and clinical vs. subclinical TB (on the right). Figure 2 presents relative per–unit–time infectiousness estimates in the exact opposite way (smear–negative vs. smear–positive and subclinical vs. clinical, and in the opposite order). It would be clearer for readers if the presentation was more consistent across figures (and accompanying text).</p></disp-quote><p>Thank you for your comment. We agree this was inconsistent. Figure 1 has been altered accordingly to show subclinical vs. clinical on the left and sputum smear–negative vs. smear–positive on the right (please see Page 12).</p><disp-quote content-type="editor-comment"><p>4. Presenting figure 1 in terms of the relative cumulative hazard rather than (or in addition to) odds ratios would also help with the continuity between figures 1 and 2 (since the estimates of per–unit–time relative infectiousness used the relative cumulative hazards, not odds ratios).</p></disp-quote><p>Whilst we agree that presenting cumulative hazards would be closer to the modelling framework, we chose odds ratios to complement the modelling results, since they are more intuitive for a wide range of potential readers. We feel this helps to broaden the readership and understanding of the work and would therefore prefer to keep this metric.</p><disp-quote content-type="editor-comment"><p>5. Methods text should contain a bit more information on how the estimated durations of subclinical and clinical TB were used to convert the infection odds ratios into per–unit–time relative infectiousness estimates – this is clear in the appendix but not in the main text.</p></disp-quote><p>Further details have been added to the methods.</p><p>See Page 8, Line 10:</p><p>“To infer the infectiousness of subclinical TB per unit time relative to clinical TB from our posterior estimate for the subclinical relative cumulative hazard r<sub>s</sub> we note that, assuming constant hazards, the relative cumulative hazards from index cases will depend on the product of the relative per unit time infectiousness and relative durations of infectiousness. We assume that per unit time infectiousness depends on symptom status and sputum smear–status, whilst durations of infectiousness depends on symptom status only. It follows then that: <inline-formula><mml:math id="sa2m1"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mrow><mml:mi>s</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>α</mml:mi><mml:mrow><mml:mi>s</mml:mi></mml:mrow></mml:msub><mml:msub><mml:mi>γ</mml:mi><mml:mrow><mml:mi>s</mml:mi><mml:mo>,</mml:mo></mml:mrow></mml:msub></mml:mrow></mml:mstyle></mml:math></inline-formula><inline-formula><mml:math id="sa2m2"><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mrow><mml:mi>r</mml:mi><mml:mi mathvariant="normal">_</mml:mi><mml:mo>=</mml:mo><mml:mi>α</mml:mi><mml:mi mathvariant="normal">_</mml:mi><mml:mo>,</mml:mo></mml:mrow></mml:mstyle></mml:math></inline-formula> where <italic>α</italic><sub>s</sub> and <italic>α</italic><sub>–</sub> are the per unit time infectiousness of subclinical relative to clinical index cases and sputum smear–negative relative to smear positive index cases, respectively, and γ<sub>s</sub> is the duration of infectiousness for subclinical relative to clinical index cases.</p><p>Finally, we sampled from the posterior estimate for the subclinical relative cumulative hazard and an assumed duration of disease for subclinical index cases relative to clinical index cases, providing a median and 95% equal tailed posterior estimate for the relative infectiousness of subclinical index cases relative to clinical index cases for each study separately. Finally, we provide a summary estimate by mixed–effects meta–analysing the individual estimates across the separate studies. Analogous results are presented for the relative infectiousness per unit time of sputum smear–negative TB relative to smear–positive TB.”</p><disp-quote content-type="editor-comment"><p>6. In the abstract, the term &quot;individual population data&quot; is a bit unclear.</p></disp-quote><p>This has been edited.</p><p>See Page 2, Line 28:</p><p>“We collated individual–level data on representative populations for analysis…”</p><disp-quote content-type="editor-comment"><p>7. Supplementary figure 2 may be mislabeled – for Bangladesh, it seemed that only smear–positive cases were included but the graph makes it look like only subclinical cases were included. Are the other panels similarly mislabeled?</p></disp-quote><p>Thank you for the comment – this was indeed mislabelled and has been edited. All other panels are correct.</p><p>See Page 11 of the Supplementary Materials.</p><disp-quote content-type="editor-comment"><p>8. p5 (line 7–9) Sentence could be made clearer. What does it mean there is a &quot;disconnect&quot;? Is this a pathological link? or causality? lack of evidence?</p></disp-quote><p>This has been edited.</p><p>See Page 5, Line 9:</p><p>“Indeed, whilst recent empirical studies have suggested that tidal breathing may contribute significantly to Mtb transmission [27], exhalation of infectious aerosols appears unrelated to the presence of symptoms [28] or cough frequency [29] in TB patients.”</p><disp-quote content-type="editor-comment"><p>9. Results: The estimations of per unit time infectiousness of subclinical TB should be brought up front in the results, before the meta–analysis.</p></disp-quote><p>We agree that the results for the per unit time infectiousness of subclinical TB could be made more prominent. However, moving Figure 2 (estimates of per unit time infectiousness) above Figure 1 (odds ratios of the underlying data) would be inconsistent with the order of the methods. We instead have edited the text by introducing subsections ‘Data’ and ‘Estimating the relative infectiousness of subclinical TB’ to make the results more easily identifiable whilst preserving the order of the methods.</p><p>See Page 11, Line 12 for the first new subsection:</p><p>“Data”.</p><p>See Page 12, Line 10 for the second new subsection:</p><p>‘Estimating the relative infectiousness of subclinical TB’.</p><disp-quote content-type="editor-comment"><p>10. The discussion around the limitations of household contact and transmission assessment is very limited. This study inherits the limitations of the source studies, a more robust discussion around this issue would be beneficial.</p></disp-quote><p>We have added additional text to the discussion of this limitation to acknowledge that our work necessarily inherits all such limitations. Given other additions to the discussion as a result of peer review, we feel any further comment would make the Discussion section prohibitively long.</p><p>See Page 18, Line 4:</p><p>“Such household contact studies are therefore liable to biases and our study necessarily inherits such limitations. For example…”</p><disp-quote content-type="editor-comment"><p>11. Sensitivity of symptom screening algorithms is not discussed: TB disease, although split it into two categories is more likely a continuum.</p></disp-quote><p>A paragraph has been added to the discussion to this effect.</p><p>See Page 18, Line 26:</p><p>“We defined subclinical and clinical TB as being culture and/or NAAT positive and responding negatively or positively to an initial symptom screen, respectively. In practice subclinical and clinical TB are part of a continuous spectrum and alternative definitions could be defined according to different criteria. Here we have used the definition most closely aligned with the methodology of the majority of prevalence surveys, which is consistent with other studies of subclinical TB [18] and pragmatic for inclusion of future surveys.”</p><disp-quote content-type="editor-comment"><p>12. Discussion page 15 (L11–L12): Is it relevant to mention SARS–CoV and Malaria here? Bringing asymptomatic transmission as a transversal subject across diseases without providing more epidemiological insights seems gratuitous. This should be removed.</p></disp-quote><p>We agree that whilst evidence for asymptomatic transmission in SARS–CoV–2 and Malaria does not provide evidence for such transmission in TB, we mention them in the discussion to make the broader point that asymptomatic transmission would not be unique to TB. We have edited the text to clarify this point.</p><p>See Page 17, Line 17:</p><p>“More broadly, recent work on SARS–CoV–2 and malaria have similarly shown how ‘asymptomatic’ or ‘subpatent’ infections can be important drivers of transmission [45–47], meaning a role for asymptomatic transmission would not be unique to TB.”</p><disp-quote content-type="editor-comment"><p>13. The implications on policy and directly on recommendations around symptom screening in WHO plans are not commented on enough, this is where these results could be more useful.</p></disp-quote><p>We have added a reference to the WHO screening guidelines [1] in the discussion (see Page 19, Line 31):</p><p>“As our results show that subclinical TB likely contributes substantially to transmission, an increased emphasis on symptom agnostic screening in, for example, the TB screening guidelines [58] should be considered, as should the inclusion of subclinical TB in the planned update of WHO case definitions. Target Product Profiles for diagnostic tools should consider all infectious TB, regardless of whether individuals are experiencing or aware of symptoms, and interventions using such tools should be critically evaluated for their impact on Mtb transmission and cost–effectiveness.”</p><disp-quote content-type="editor-comment"><p>14. page 16, line 32: The sentence &quot;This is in keeping with increasing data showing that symptoms, in particular the classic TB symptom of cough, are not closely correlated to the amount of Mtb exhaled [28,29] &quot; This is not completely consistent with Ref [28] by Theron et al. Nature Med 2020. The authors actually found that cough alone was a strong indicator for the measured transmissibility supplementary table 8. OR for CASS positivity for cough: 3.38 (1.90–5.99) despite the overall symptom score being negatively associated with transmissibility.</p></disp-quote><p>We have removed the reference to Theron et al. Nature Med 2020 (Ref [28] in the above).</p><p>See Page 19, Line 19:</p><p>“This is in keeping with increasing data showing that symptoms, in particular the classic TB symptom of cough, are not closely correlated to the amount of Mtb exhaled [29]…”</p><disp-quote content-type="editor-comment"><p>15. Supplementary Table 1: would be useful to add information on the definition of symptoms used to define subclinical against clinical disease.</p></disp-quote><p>These have been added to Supplementary Table 1.</p><p>See Page 4 in the Supplementary Materials.</p><disp-quote content-type="editor-comment"><p>16. Is there evidence from the literature regarding the subclinical transmission using results from whole genome sequencing? For example, Xu et al. (plos medicine) found in a study from Spain that 5/14 (35.7%) cases likely transmitted TB well before symptom onset. This can be discussed.</p></disp-quote><p>We have added this study [2] to the discussion.</p><p>See Page 17, Line 13:</p><p>“Our results are also in keeping with recent results from whole genome sequencing [45], in which 36% of individuals likely transmitted Mtb before symptom onset, assuming a linear SNP mutation rate.”</p><p>We have also added another study to the discussion that was published whilst this paper was under review [3].</p><p>See Page 17, Line 7:</p><p>“Using data from the 2007 Viet Nam prevalence survey however, [43] find that among children aged 6–10 years, those living with clinical, smear–positive tuberculosis patients, and those living with subclinical, smear–positive tuberculosis patients, had similarly increased risks of TST positivity compared with those living without tuberculosis patients.”</p><p>References</p><p>[1] World Health Organization. WHO consolidated guidelines on tuberculosis – Module 2: Systematic screening for tuberculosis disease. Genève: World Health Organisation 2021. https://apps.who.int/iris/handle/10665/341426 (accessed 9 Sep 2021).</p><p>[2] Xu Y, Cancino–Muñoz I, Torres–Puente M, et al. High–resolution mapping of tuberculosis transmission: Whole genome sequencing and phylogenetic modelling of a cohort from Valencia Region, Spain. PLoS Med 2019;16:e1002961. doi:10.1371/journal.pmed.1002961</p><p>[3] Nguyen HV, Tiemersma E, Nguyen NV, et al. Disease Transmission by Patients With Subclinical Tuberculosis. Clin Infect Dis 2023;76:2000–6. doi:10.1093/cid/ciad027</p></body></sub-article></article>