<?xml version="1.0" encoding="UTF-8"?><!DOCTYPE article PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Publishing DTD v1.2 20190208//EN" "http://jats.nlm.nih.gov/publishing/1.2/JATS-journalpublishing1.dtd"><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" article-type="research-article" dtd-version="1.2" xml:lang="en">
    <front>
        <journal-meta>
            <journal-id journal-id-type="pmc">F1000Research</journal-id>
            <journal-title-group>
                <journal-title>F1000Research</journal-title>
            </journal-title-group>
            <issn pub-type="epub">2046-1402</issn>
            <publisher>
                <publisher-name>F1000 Research Limited</publisher-name>
                <publisher-loc>London, UK</publisher-loc>
            </publisher>
        </journal-meta>
        <article-meta>
            <article-id pub-id-type="doi">10.12688/f1000research.109331.2</article-id>
            <article-categories>
                <subj-group subj-group-type="heading">
                    <subject>Research Article</subject>
                </subj-group>
                <subj-group>
                    <subject>Articles</subject>
                </subj-group>
            </article-categories>
            <title-group>
                <article-title>Estimated number of deaths directly avoided because of COVID-19 vaccination among older adults in Colombia in 2021: an ecological, longitudinal observational study</article-title>
                <fn-group content-type="pub-status">
                    <fn>
                        <p>[version 2; peer review: 2 approved]</p>
                    </fn>
                </fn-group>
            </title-group>
            <contrib-group>
                <contrib contrib-type="author" corresp="no">
                    <name>
                        <surname>Rojas-Botero</surname>
                        <given-names>Maylen Liseth</given-names>
                    </name>
                    <role content-type="http://credit.niso.org/">Conceptualization</role>
                    <role content-type="http://credit.niso.org/">Data Curation</role>
                    <role content-type="http://credit.niso.org/">Formal Analysis</role>
                    <role content-type="http://credit.niso.org/">Investigation</role>
                    <role content-type="http://credit.niso.org/">Methodology</role>
                    <role content-type="http://credit.niso.org/">Writing &#x2013; Original Draft Preparation</role>
                    <role content-type="http://credit.niso.org/">Writing &#x2013; Review &amp; Editing</role>
                    <xref ref-type="aff" rid="a1">1</xref>
                </contrib>
                <contrib contrib-type="author" corresp="yes">
                    <name>
                        <surname>Fern&#x00e1;ndez-Ni&#x00f1;o</surname>
                        <given-names>Juli&#x00e1;n Alfredo</given-names>
                    </name>
                    <role content-type="http://credit.niso.org/">Conceptualization</role>
                    <role content-type="http://credit.niso.org/">Data Curation</role>
                    <role content-type="http://credit.niso.org/">Formal Analysis</role>
                    <role content-type="http://credit.niso.org/">Funding Acquisition</role>
                    <role content-type="http://credit.niso.org/">Investigation</role>
                    <role content-type="http://credit.niso.org/">Methodology</role>
                    <role content-type="http://credit.niso.org/">Project Administration</role>
                    <role content-type="http://credit.niso.org/">Supervision</role>
                    <role content-type="http://credit.niso.org/">Writing &#x2013; Original Draft Preparation</role>
                    <role content-type="http://credit.niso.org/">Writing &#x2013; Review &amp; Editing</role>
                    <xref ref-type="corresp" rid="c1">a</xref>
                    <xref ref-type="aff" rid="a1">1</xref>
                    <xref ref-type="aff" rid="a2">2</xref>
                </contrib>
                <contrib contrib-type="author" corresp="no">
                    <name>
                        <surname>Arregoc&#x00e9;s-Castillo</surname>
                        <given-names>Leonardo</given-names>
                    </name>
                    <role content-type="http://credit.niso.org/">Methodology</role>
                    <role content-type="http://credit.niso.org/">Project Administration</role>
                    <role content-type="http://credit.niso.org/">Validation</role>
                    <role content-type="http://credit.niso.org/">Writing &#x2013; Original Draft Preparation</role>
                    <role content-type="http://credit.niso.org/">Writing &#x2013; Review &amp; Editing</role>
                    <xref ref-type="aff" rid="a1">1</xref>
                </contrib>
                <contrib contrib-type="author" corresp="no">
                    <name>
                        <surname>Ruiz-G&#x00f3;mez</surname>
                        <given-names>Fernando</given-names>
                    </name>
                    <role content-type="http://credit.niso.org/">Project Administration</role>
                    <role content-type="http://credit.niso.org/">Supervision</role>
                    <role content-type="http://credit.niso.org/">Writing &#x2013; Original Draft Preparation</role>
                    <xref ref-type="aff" rid="a1">1</xref>
                </contrib>
                <aff id="a1">
                    <label>1</label>Ministerio de Salud y Protecci&#x00f3;n Social, Bogota, Bogota, 110311, Colombia</aff>
                <aff id="a2">
                    <label>2</label>Universidad del Norte, Barranquilla, Colombia</aff>
            </contrib-group>
            <author-notes>
                <corresp id="c1">
                    <label>a</label>
                    <email xlink:href="mailto:jfernandezn@minsalud.gov.co">jfernandezn@minsalud.gov.co</email>
                </corresp>
                <fn fn-type="conflict">
                    <p>
                        <bold>Competing interests: </bold>All the authors worked at the Ministry of Health and Social Protection. FRG is the Colombian Minister of Health. Authors do not have other conflicts of interest to declare.</p>
                </fn>
            </author-notes>
            <pub-date pub-type="epub">
                <day>19</day>
                <month>5</month>
                <year>2022</year>
            </pub-date>
            <pub-date pub-type="collection">
                <year>2022</year>
            </pub-date>
            <volume>11</volume>
            <elocation-id>198</elocation-id>
            <history>
                <date date-type="accepted">
                    <day>18</day>
                    <month>5</month>
                    <year>2022</year>
                </date>
            </history>
            <permissions>
                <copyright-statement>Copyright: &#x00a9; 2022 Rojas-Botero ML et al.</copyright-statement>
                <copyright-year>2022</copyright-year>
                <license xlink:href="https://creativecommons.org/licenses/by/4.0/">
                    <license-p>This is an open access article distributed under the terms of the Creative Commons Attribution Licence, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.</license-p>
                </license>
            </permissions>
            <self-uri content-type="pdf" xlink:href="https://f1000research.com/articles/11-198/pdf"/>
            <abstract>
                <p>
                    <bold>Background:</bold> Colombia&#x2019;s national COVID-19 vaccination plan began in February of 2021. It gave priority to older adults, who constituted 77.7% of deaths from this illness in the year 2020. The main goal of the plan is to decrease specific mortality and the number of serious COVID-19 cases, however, the number of deaths avoided by this strategy is unknown. The objective of this study was to estimate the number of avoided deaths in Colombia by fully vaccinating older adults against COVID-19, during the first year of the implementation of the national vaccination plan.</p>
                <p>
                    <bold>Methods:</bold> This study took on the design of an ecological, longitudinal study. Full vaccination coverage for older adults was calculated for each epidemiological week and age group from March to December 2021, based on which the number of avoided COVID-19 deaths was estimated. A sensitivity analysis was performed taking into account variations in the vaccines&#x2019; effectiveness by age group.</p>
                <p>
                    <bold>Results:</bold> In Colombia, over 5.3 million adults 60 years of age and older received full COVID-19 vaccinations between March and December 2021. During that same period, nearly 46,000 deaths of older adults from this cause were registered. We estimated that vaccination has avoided around 22,000 more older adults from dying from COVID-19 in Colombia, that is, 32.4% of expected deaths in 2021. According to the sensitivity analysis, the number of lives saved ranged from 19,597 to 36,507.</p>
                <p>
                    <bold>Conclusions:</bold> Colombia&#x2019;s strategy to vaccinate older adults against COVID-19 has avoided mortality for this age group from being 48.0% higher than what was observed during the study period. Even more lives have been saved when taking into account the parameters that were defined and the omission of the contribution from partial vaccinations.</p>
            </abstract>
            <kwd-group kwd-group-type="author">
                <kwd>SARS-CoV-2</kwd>
                <kwd>COVID-19</kwd>
                <kwd>COVID-19 Vaccines</kwd>
                <kwd>Aged</kwd>
                <kwd>Mortality</kwd>
                <kwd>Colombia.</kwd>
            </kwd-group>
            <funding-group>
                <funding-statement>The author(s) declared that no grants were involved in supporting this work.</funding-statement>
            </funding-group>
        </article-meta>
        <notes>
            <sec sec-type="version-changes">
                <label>Revised</label>
                <title>Amendments from Version 1</title>
                <p>In this second version of the manuscript, we include in the discussion 4 new paragraphs addressing two important limitations of our study pointed out by the first reviewer. The first related to the use of confirmed COVID-19 deaths, and how these deaths are necessarily less than real COVID-19 deaths, although Colombia has a robust mortality system, this is certainly a limitation, which is discussed. Second, we explain that non-pharmacological measures also prevented deaths, but that this is not the objective of our study and would require another approach. Both approaches are mentioned as opportunities for further study. Finally, the institutional affiliation of Julian Fernandez is updated, and the results of the sensitivity analysis that had been forgotten to be mentioned in the previous version are added.</p>
            </sec>
        </notes>
    </front>
    <body>
        <sec id="sec1" sec-type="intro">
            <title>Introduction</title>
            <p>The COVID-19 pandemic has caused some of the worst social, economic and health crises in recent history, which poses unprecedented challenges for public health worldwide.
                <sup>
                    <xref ref-type="bibr" rid="ref1">1</xref>
                </sup> The number of people affected by the SARS-CoV-2 virus increased rapidly, with 297.4 million cases having been registered globally as of December 2021, and at least 5.4 million deaths.
                <sup>
                    <xref ref-type="bibr" rid="ref2">2</xref>
                </sup> In the case of Colombia, 5.1 million cases and roughly 130,000 deaths were reported during this same period.
                <sup>
                    <xref ref-type="bibr" rid="ref3">3</xref>
                </sup>
            </p>
            <p>While this illness can occur at any age, it has been found that older adults have an increased risk of negative outcomes from COVID-19, such as serious illness, hospitalization and death.
                <sup>
                    <xref ref-type="bibr" rid="ref4">4</xref>
                </sup>
                <sup>,</sup>
                <sup>
                    <xref ref-type="bibr" rid="ref5">5</xref>
                </sup> In fact, 77.7% of the deaths registered in Colombia during the year 2020 were adults 60 years of age and older.
                <sup>
                    <xref ref-type="bibr" rid="ref3">3</xref>
                </sup> Given the recognition of the greater load of serious morbidity and death, it has been recommended to prioritize older adults when implementing prevention measures.
                <sup>
                    <xref ref-type="bibr" rid="ref6">6</xref>
                </sup>
            </p>
            <p>Thanks to global efforts and academic, industry and government groups, successful vaccines have been developed at an unprecedented rate. Given these advances, current vaccinations, along with non-pharmacological measures, have become the best strategy for sustainably controlling the COVID-19 pandemic.
                <sup>
                    <xref ref-type="bibr" rid="ref7">7</xref>
                </sup>
            </p>
            <p>Colombia&#x2019;s national COVID-19 vaccination plan was implemented on February 17, 2021.
                <sup>
                    <xref ref-type="bibr" rid="ref8">8</xref>
                </sup> Since it was first proposed, the Ministry of Health prioritized older adults, beginning with those 80 years of age and older, and making access to the vaccines progressively available based on higher risks of complication and death caused by COVID-19.
                <sup>
                    <xref ref-type="bibr" rid="ref8">8</xref>
                </sup>
            </p>
            <p>The first full vaccinations of older adults in Colombia were registered as of the second week of March, 2021 (epidemiological week 10) after the first vaccines to this age group were administered by the end of February, 2021.
                <sup>
                    <xref ref-type="bibr" rid="ref9">9</xref>
                </sup> As part of the evaluation, Esperanza cohort, a population-based-study estimated the effectiveness of the COVID-19 vaccines in older adults according to laboratory and age group.
                <sup>
                    <xref ref-type="bibr" rid="ref10">10</xref>
                </sup> Nevertheless, the number of deaths that were avoided among older adults in Colombia was still unknown at the end of the year.</p>
            <p>Therefore, the purpose of this study was to estimate the number of deaths that were avoided by fully vaccinating the population of adults 60 years of age and older in Colombia in 2021, between epidemiological weeks 10 and 52.</p>
        </sec>
        <sec id="sec2" sec-type="methods">
            <title>Methods</title>
            <sec id="sec3">
                <title>Study design and population</title>
                <p>An observational, ecological, population-based longitudinal study was performed. The unit of analysis corresponded to the country during the time between epidemiological weeks 10 and 52, in the year 2021. This analysis only considers the coverage of complete vaccination schedule (we excluded those partially vaccinated) among all older adults (aged 60 years and over) residing in Colombia in 2021. No other exclusion criteria were applied.</p>
                <p>This analysis included information from 5340863 older adults registered as fully vaccinated in Colombia during 2021. Given the lags in reporting to information systems, the actual number of vaccinated would be higher.</p>
            </sec>
            <sec id="sec4">
                <title>Information sources</title>
                <p>This study used the weekly number of full COVID-19 vaccinations for adults ages 60 to 110 years old, according to age group. These data were managed by the PAIWEB information system of the Ministry of Health and Social Protection (MinSalud in Spanish).PAIWEB records the application of the doses since the beginning of the distribution of the vaccines against COVID-19 in Colombia. The study also used the number of weekly COVID-19 deaths according to simple ages, made available by the Integrated Social Protection Information System (SISPRO) and it is publicly available through the Colombian government's 
                    <ext-link ext-link-type="uri" xlink:href="https://www.datos.gov.co/widgets/gt2j-8ykr?mobile_redirect=true">open data page</ext-link>. In addition, population projections for the year 2021 were used, available through DANE,
                    <sup>
                        <xref ref-type="bibr" rid="ref11">11</xref>
                    </sup> as was the vaccines&#x2019; effectiveness in preventing deaths by age group, as reported for Colombia.
                    <sup>
                        <xref ref-type="bibr" rid="ref10">10</xref>
                    </sup>
                </p>
            </sec>
            <sec id="sec5">
                <title>Data analysis</title>
                <p>The results are presented with texts and figures. The analysis was performed with Excel
                    <sup>&#x00ae;</sup> (Microsoft corporation, 2019) (RRID:SCR_016137) and STATA
                    <sup>&#x00ae;</sup> 16.1 for Mac (StataCorp. 2019) (RRID:SCR_012763).</p>
            </sec>
            <sec id="sec6">
                <title>Statistical analysis</title>
                <p>First, the evolution of full vaccination coverage among older adults was presented by age groups: 60-69, 70-79 and 80 and older. Coverage was calculated using the population projection at the midpoint of the period as the denominator, for each age group. Full vaccination was defined as one dose of Ad26.COV2.S (Johnson &amp; Johnson) or two doses of BNT162b2 (Pfizer), ChAdOx1 (AstraZeneca) nCoV-19, CoronaVac (Sinovac) or mRNA-1273 (Moderna).
                    <sup>
                        <xref ref-type="bibr" rid="ref12">12</xref>
                    </sup>
                </p>
                <p>The number of COVID-19 deaths that were avoided for fully vaccinated adults 60 years and older was then estimated for epidemiological weeks 10 through 52 of 2021 using the methodology proposed by Machado 
                    <italic toggle="yes">et al.</italic>
                    <sup>
                        <xref ref-type="bibr" rid="ref13">13</xref>
                    </sup> The number of avoided deaths was estimated as follows:
                    <disp-formula id="e1">
                        <mml:math display="block">
                            <mml:msub>
                                <mml:mi>D</mml:mi>
                                <mml:mi>a</mml:mi>
                            </mml:msub>
                            <mml:mo>=</mml:mo>
                            <mml:msub>
                                <mml:mo>&#x2211;</mml:mo>
                                <mml:mi mathvariant="italic">ij</mml:mi>
                            </mml:msub>
                            <mml:mfenced close="]" open="[">
                                <mml:mrow>
                                    <mml:msub>
                                        <mml:mi>D</mml:mi>
                                        <mml:msub>
                                            <mml:mi>o</mml:mi>
                                            <mml:mi mathvariant="italic">ij</mml:mi>
                                        </mml:msub>
                                    </mml:msub>
                                    <mml:mo>&#x00d7;</mml:mo>
                                    <mml:mfrac>
                                        <mml:mrow>
                                            <mml:msub>
                                                <mml:mi mathvariant="italic">FV</mml:mi>
                                                <mml:mrow>
                                                    <mml:mi>i</mml:mi>
                                                    <mml:mo>&#x2212;</mml:mo>
                                                    <mml:mn>2</mml:mn>
                                                    <mml:mo>,</mml:mo>
                                                    <mml:mi>j</mml:mi>
                                                </mml:mrow>
                                            </mml:msub>
                                            <mml:mo>&#x00d7;</mml:mo>
                                            <mml:msub>
                                                <mml:mi mathvariant="italic">VE</mml:mi>
                                                <mml:mi>j</mml:mi>
                                            </mml:msub>
                                        </mml:mrow>
                                        <mml:mrow>
                                            <mml:mn>1</mml:mn>
                                            <mml:mo>&#x2212;</mml:mo>
                                            <mml:mfenced close=")" open="(">
                                                <mml:mrow>
                                                    <mml:msub>
                                                        <mml:mi mathvariant="italic">FV</mml:mi>
                                                        <mml:mrow>
                                                            <mml:mi>i</mml:mi>
                                                            <mml:mo>&#x2212;</mml:mo>
                                                            <mml:mn>2</mml:mn>
                                                            <mml:mo>,</mml:mo>
                                                            <mml:mi>j</mml:mi>
                                                        </mml:mrow>
                                                    </mml:msub>
                                                    <mml:mo>&#x00d7;</mml:mo>
                                                    <mml:msub>
                                                        <mml:mi mathvariant="italic">VE</mml:mi>
                                                        <mml:mi>j</mml:mi>
                                                    </mml:msub>
                                                </mml:mrow>
                                            </mml:mfenced>
                                        </mml:mrow>
                                    </mml:mfrac>
                                </mml:mrow>
                            </mml:mfenced>
                        </mml:math>
                    </disp-formula>where 
                    <inline-formula>
                        <mml:math display="inline">
                            <mml:msub>
                                <mml:mi>D</mml:mi>
                                <mml:mi>a</mml:mi>
                            </mml:msub>
                        </mml:math>
                    </inline-formula> corresponds to the avoided deaths, 
                    <inline-formula>
                        <mml:math display="inline">
                            <mml:msub>
                                <mml:mi>D</mml:mi>
                                <mml:msub>
                                    <mml:mi>o</mml:mi>
                                    <mml:mi mathvariant="italic">ij</mml:mi>
                                </mml:msub>
                            </mml:msub>
                            <mml:mspace width="0.25em"/>
                        </mml:math>
                    </inline-formula>corresponds to the observed deaths during week 
                    <inline-formula>
                        <mml:math display="inline">
                            <mml:mi>i</mml:mi>
                        </mml:math>
                    </inline-formula>, age group 
                    <inline-formula>
                        <mml:math display="inline">
                            <mml:mi>j</mml:mi>
                        </mml:math>
                    </inline-formula>, 
                    <inline-formula>
                        <mml:math display="inline">
                            <mml:msub>
                                <mml:mi mathvariant="italic">FV</mml:mi>
                                <mml:mrow>
                                    <mml:mi>i</mml:mi>
                                    <mml:mo>&#x2212;</mml:mo>
                                    <mml:mn>2</mml:mn>
                                </mml:mrow>
                            </mml:msub>
                        </mml:math>
                    </inline-formula> corresponds to full vaccine coverage two weeks before week 
                    <inline-formula>
                        <mml:math display="inline">
                            <mml:mi>i</mml:mi>
                        </mml:math>
                    </inline-formula> for age group 
                    <inline-formula>
                        <mml:math display="inline">
                            <mml:mi>j</mml:mi>
                        </mml:math>
                    </inline-formula>, and 
                    <inline-formula>
                        <mml:math display="inline">
                            <mml:msub>
                                <mml:mi mathvariant="italic">VE</mml:mi>
                                <mml:mi>j</mml:mi>
                            </mml:msub>
                        </mml:math>
                    </inline-formula> corresponds to the vaccines&#x2019; effectiveness for preventing COVID-19 deaths for age group 
                    <inline-formula>
                        <mml:math display="inline">
                            <mml:mi>j</mml:mi>
                        </mml:math>
                    </inline-formula>.</p>
                <p>As mentioned previously, the national vaccination plan was implemented on February 17, 2021.
                    <sup>
                        <xref ref-type="bibr" rid="ref14">14</xref>
                    </sup> Therefore, the first full vaccinations were observed beginning on March 7.
                    <sup>
                        <xref ref-type="bibr" rid="ref9">9</xref>
                    </sup> Thus, 
                    <inline-formula>
                        <mml:math display="inline">
                            <mml:mi>i</mml:mi>
                        </mml:math>
                    </inline-formula> ranges between epidemiological weeks 10 and 52 of the year 2021.</p>
                <p>In addition, the time it takes for the vaccines to generate immune protection was considered, in this case, approximately 14 days. Thus, week 
                    <inline-formula>
                        <mml:math display="inline">
                            <mml:mi>i</mml:mi>
                            <mml:mo>&#x2212;</mml:mo>
                            <mml:mn>2</mml:mn>
                        </mml:math>
                    </inline-formula> corresponds to the lag time between vaccination coverage and the clinically relevant time for vaccine protection.</p>
                <p>The effectiveness of the vaccines in preventing death was based on the Esperanza cohort study,
                    <sup>
                        <xref ref-type="bibr" rid="ref10">10</xref>
                    </sup> which reported 87.6% for adults ages 60 to 69 years old, 78.9% for those ages 70 to 79 years, and 61.2% for adults 80 years of age and older. These effectiveness rates are lower than those found for preventing death after hospitalization
                    <sup>
                        <xref ref-type="bibr" rid="ref10">10</xref>
                    </sup> and were selected in order to obtain conservative estimates of the number of avoided deaths.</p>
                <p>After estimating the avoided deaths with the strategy, the number of expected deaths 
                    <inline-formula>
                        <mml:math display="inline">
                            <mml:msub>
                                <mml:mi>D</mml:mi>
                                <mml:mi>exp</mml:mi>
                            </mml:msub>
                        </mml:math>
                    </inline-formula> was calculated for an unvaccinated scenario, as follows
                    <sup>
                        <xref ref-type="bibr" rid="ref13">13</xref>
                    </sup>:
                    <disp-formula id="e2">
                        <mml:math display="block">
                            <mml:msub>
                                <mml:mi>D</mml:mi>
                                <mml:mi>exp</mml:mi>
                            </mml:msub>
                            <mml:mo>=</mml:mo>
                            <mml:msub>
                                <mml:mi>D</mml:mi>
                                <mml:mi>o</mml:mi>
                            </mml:msub>
                            <mml:mo>+</mml:mo>
                            <mml:msub>
                                <mml:mi>D</mml:mi>
                                <mml:mi>a</mml:mi>
                            </mml:msub>
                        </mml:math>
                    </disp-formula>
                </p>
                <p>This information was used to graph expected versus observed mortality rates per 100,000 using, as the denominator, the population projection as of the midpoint of the period for each age group. In addition, the preventable fraction was calculated as the proportion of the number of deaths observed with respect to expected deaths.</p>
                <p>Following on from Machado&#x2019;s 
                    <italic toggle="yes">et al. study</italic>, the number needed to be vaccinated (NNV) to avoid a death was estimated as
                    <sup>
                        <xref ref-type="bibr" rid="ref13">13</xref>
                    </sup>:
                    <disp-formula id="e3">
                        <mml:math display="block">
                            <mml:msub>
                                <mml:mi mathvariant="italic">NNV</mml:mi>
                                <mml:mi>j</mml:mi>
                            </mml:msub>
                            <mml:mo>=</mml:mo>
                            <mml:mfrac>
                                <mml:mn>1</mml:mn>
                                <mml:mrow>
                                    <mml:msub>
                                        <mml:mi mathvariant="italic">VE</mml:mi>
                                        <mml:mi>j</mml:mi>
                                    </mml:msub>
                                    <mml:mo>&#x00d7;</mml:mo>
                                    <mml:mfrac>
                                        <mml:mrow>
                                            <mml:msub>
                                                <mml:mrow>
                                                    <mml:mi>D</mml:mi>
                                                </mml:mrow>
                                                <mml:mrow>
                                                    <mml:mi mathvariant="italic">oj</mml:mi>
                                                </mml:mrow>
                                            </mml:msub>
                                            <mml:mo>+</mml:mo>
                                            <mml:msub>
                                                <mml:mi>D</mml:mi>
                                                <mml:mi mathvariant="italic">aj</mml:mi>
                                            </mml:msub>
                                        </mml:mrow>
                                        <mml:msub>
                                            <mml:mtext>Population</mml:mtext>
                                            <mml:mi>j</mml:mi>
                                        </mml:msub>
                                    </mml:mfrac>
                                </mml:mrow>
                            </mml:mfrac>
                        </mml:math>
                    </disp-formula>
                </p>
                <p>
                    <italic toggle="yes">Sensitivity analysis</italic>
                </p>
                <p>The analysis was replicated from the Esperanza cohort&#x2019;s report
                    <sup>
                        <xref ref-type="bibr" rid="ref9">9</xref>
                    </sup> of the lowest and highest effectiveness rates for preventing death without prior hospitalization, for each age group. The age groups were based on those defined originally in the Esperanza cohort.
                    <sup>
                        <xref ref-type="bibr" rid="ref9">9</xref>
                    </sup> The number of avoided deaths was calculated for an effectiveness of 82.5% and 95.0% for the 60&#x2013;69-year-old group, an effectiveness of 70.7% and 95.7% for the 70&#x2013;79-year-old group, and 59.1% and 83.4% for the 80 years and older age group.
                    <sup>
                        <xref ref-type="bibr" rid="ref10">10</xref>
                    </sup>
                </p>
            </sec>
            <sec id="sec7">
                <title>Ethical considerations</title>
                <p>This investigation meets the scientific, technical, administrative, and ethical considerations stipulated by existing regulations for research with human beings in Colombia. In accordance with 1993 resolution 8430, this investigation is classified as no risk given its exclusive use of aggregated and secondary information sources. None of the study researchers accessed the databases with the original personal identifiers, and only the anonymized databases. All information handling standards were followed. Due to these characteristics, this study did not require review or approval by a research ethics committee.</p>
                <p>The Ministry of Health and Social Protection is governed by national legislation on information management, habeas data laws, and institutional manuals of good practices. All information sources are directly managed by the Ministry, and the bases are anonymized, joined, and consolidated by an independent technician, through the generation of their own encrypted key code that allows the sources to be linked without using the original personal citizen identification. In this way it is not possible for researchers or external agents to recover the original identity numbers or personal data.</p>
            </sec>
        </sec>
        <sec id="sec8" sec-type="results">
            <title>Results</title>
            <p>Between March and December of 2021 (epidemiological weeks 10 through 52), over 5.3 million adults 60 years and older in Colombia received full COVID-19 vaccinations. As the vaccination strategy progressed (
                <xref ref-type="fig" rid="f1">Figure 1</xref>) 3,45,983 COVID-19 deaths were recorded for this population, for a specific mortality rate of 646.9 per 100,000 for that epidemiological period
                <sup>
                    <xref ref-type="bibr" rid="ref16">16</xref>
                </sup> (
                <xref ref-type="table" rid="T1">Table 1</xref>).</p>
            <fig fig-type="figure" id="f1" orientation="portrait" position="float">
                <label>Figure 1. </label>
                <caption>
                    <title>Evolution of full COVID-19 vaccination coverage for older adults.</title>
                    <p>Colombia. Epidemiological weeks 10 to 52, of 2021.</p>
                </caption>
                <graphic id="gr1" orientation="portrait" position="float" xlink:href="https://f1000research-files.f1000.com/manuscripts/134136/543cf4e3-521d-47cb-b78a-7a1213bb35d1_figure1.gif"/>
            </fig>
            <table-wrap id="T1" orientation="portrait" position="float">
                <label>Table 1. </label>
                <caption>
                    <title>COVID-19 avoided deaths by being fully vaccinated for adults 60 years of age and older.</title>
                    <p>Colombia. Epidemiological weeks 10 to 52 of 2021.</p>
                </caption>
                <table content-type="article-table" frame="hsides">
                    <thead>
                        <tr>
                            <th align="left" colspan="1" rowspan="1" valign="top">Age group</th>
                            <th align="left" colspan="1" rowspan="1" valign="top">Effectiveness of full vaccinations</th>
                            <th align="left" colspan="1" rowspan="1" valign="top">Vaccination coverage (%)</th>
                            <th align="left" colspan="1" rowspan="1" valign="top">Deaths observed</th>
                            <th align="left" colspan="1" rowspan="1" valign="top">Avoided deaths</th>
                            <th align="left" colspan="1" rowspan="1" valign="top">Observed mortality rate per 100,000</th>
                            <th align="left" colspan="1" rowspan="1" valign="top">Specific expected mortality per 100,000</th>
                            <th align="left" colspan="1" rowspan="1" valign="top">Preventable fraction (%)</th>
                        </tr>
                    </thead>
                    <tbody>
                        <tr>
                            <td align="left" colspan="1" rowspan="1" valign="middle">60-69</td>
                            <td align="left" colspan="1" rowspan="1" valign="middle">87.6</td>
                            <td align="left" colspan="1" rowspan="1" valign="middle">71.5</td>
                            <td align="left" colspan="1" rowspan="1" valign="middle">16,503</td>
                            <td align="left" colspan="1" rowspan="1" valign="middle">4,570</td>
                            <td align="left" colspan="1" rowspan="1" valign="middle">584.2</td>
                            <td align="left" colspan="1" rowspan="1" valign="middle">745.9</td>
                            <td align="left" colspan="1" rowspan="1" valign="middle">21.7</td>
                        </tr>
                        <tr>
                            <td align="left" colspan="1" rowspan="1" valign="middle">70-79</td>
                            <td align="left" colspan="1" rowspan="1" valign="middle">78.9</td>
                            <td align="left" colspan="1" rowspan="1" valign="middle">77.2</td>
                            <td align="left" colspan="1" rowspan="1" valign="middle">15,431</td>
                            <td align="left" colspan="1" rowspan="1" valign="middle">7,889</td>
                            <td align="left" colspan="1" rowspan="1" valign="middle">733.1</td>
                            <td align="left" colspan="1" rowspan="1" valign="middle">1,107.9</td>
                            <td align="left" colspan="1" rowspan="1" valign="middle">33.8</td>
                        </tr>
                        <tr>
                            <td align="left" colspan="1" rowspan="1" valign="middle">80+</td>
                            <td align="left" colspan="1" rowspan="1" valign="middle">61.2</td>
                            <td align="left" colspan="1" rowspan="1" valign="middle">84.8</td>
                            <td align="left" colspan="1" rowspan="1" valign="middle">14,049</td>
                            <td align="left" colspan="1" rowspan="1" valign="middle">9,619</td>
                            <td align="left" colspan="1" rowspan="1" valign="middle">1,338.3</td>
                            <td align="left" colspan="1" rowspan="1" valign="middle">2.254.7</td>
                            <td align="left" colspan="1" rowspan="1" valign="middle">40.6</td>
                        </tr>
                        <tr>
                            <td align="left" colspan="1" rowspan="1" valign="middle">
                                <bold>60 +</bold>
                            </td>
                            <td align="left" colspan="1" rowspan="1" valign="middle">--</td>
                            <td align="left" colspan="1" rowspan="1" valign="middle">--</td>
                            <td align="left" colspan="1" rowspan="1" valign="middle">45,983</td>
                            <td align="left" colspan="1" rowspan="1" valign="middle">22,078</td>
                            <td align="left" colspan="1" rowspan="1" valign="middle">646.9</td>
                            <td align="left" colspan="1" rowspan="1" valign="middle">957.5</td>
                            <td align="left" colspan="1" rowspan="1" valign="middle">32.4</td>
                        </tr>
                    </tbody>
                </table>
            </table-wrap>
            <p>As seen in 
                <xref ref-type="fig" rid="f1">Figure 1</xref>, the population 80 years and older was vaccinated more quickly, with over 70% full vaccination coverage for this age group by epidemiological week 19 (May 9-15, 2021). In contrast, adults 60 to 69 years old reached that level of coverage on epidemiological week 41 (October 10-16, 2021).
                <sup>
                    <xref ref-type="bibr" rid="ref20">20</xref>
                </sup>
            </p>
            <p>The weekly number of avoided deaths by full vaccination of adults 60 years and older was estimated. Using effectiveness indicators for each age group, it was estimated that 32.4% of the total expected deaths of adults 60 years of age and older was avoided by full vaccinations during the study period (a total of 22,078 lives saved), ranging from 21.7% of deaths avoided in the population 60 to 69 years old to 40.6% in those 80 years and older (
                <xref ref-type="table" rid="T1">Table 1</xref>).</p>
            <p>However, according to the sensitivity analysis, the total number of lives saved ranged from 19,597 to 36,507 when used the lowest and highest effectiveness rates for preventing death for each age group.</p>
            <p>The largest preventable fraction was found among adults 80 years of age and older. In a scenario without COVID-19 vaccinations, the expected mortality rate would be 2,254.7 deaths from COVID-19 per 100,000 inhabitants for this age group during the observation period. Nevertheless, the observed rate was 40.6% lower, with 1,338.3 deaths per 100,000. As shown in 
                <xref ref-type="fig" rid="f2">Figure 2</xref>, the number of observed deaths is lower than the number of expected deaths as of epidemiological week 17.</p>
            <fig fig-type="figure" id="f2" orientation="portrait" position="float">
                <label>Figure 2. </label>
                <caption>
                    <title>Accumulated COVID-19 mortality rates expected vs observed.</title>
                    <p>Avoided deaths for adults 60 years of age and older as of vaccination. Colombia, 2021.</p>
                </caption>
                <graphic id="gr2" orientation="portrait" position="float" xlink:href="https://f1000research-files.f1000.com/manuscripts/134136/543cf4e3-521d-47cb-b78a-7a1213bb35d1_figure2.gif"/>
            </fig>
            <p>Lastly, the number needed to be vaccinated to prevent a death was estimated at 166 for the 60- to 69-year-old group, 136 for those between 70 to 79 years old and 77 for adults 80 years of age and older.</p>
        </sec>
        <sec id="sec9" sec-type="discussion">
            <title>Discussion</title>
            <p>The results of this preliminary analysis suggest that Colombia&#x2019;s national COVID-19 vaccination plan has avoided at least 22,000 deaths of older adults between epidemiological weeks 10 and 52 in its first year of implementation.</p>
            <p>Colombia designed a plan based on risk prioritization criteria, in which the first two stages included adults 60 years of age and older, beginning with those who were at least 80 years old&#x2014;along with health personnel.
                <sup>
                    <xref ref-type="bibr" rid="ref8">8</xref>
                </sup> The strategy that was defined made it possible to attain a high vaccination coverage more quickly for this age group than for younger people. As a result of this decision, which was based on ethical and epidemiological principles,
                <sup>
                    <xref ref-type="bibr" rid="ref7">7</xref>
                </sup> a greater number of lives could be saved given that older adults constitute the group with the greatest mortality load.
                <sup>
                    <xref ref-type="bibr" rid="ref11">11</xref>
                </sup> Protecting them first optimized the benefits that immunization provides for specific mortality. In addition, this initial prioritization led the way for this group to be the first to receive the booster dose.</p>
            <p>Of the 22,078 deaths that were prevented among adults 60 years of age and older, 43.6% were avoided among those who were 80 years old and over. Similar results were reported by Mesl&#x00e9; 
                <italic toggle="yes">et al.</italic>
                <sup>
                    <xref ref-type="bibr" rid="ref12">12</xref>
                </sup> who found that adults 80 years and older constituted 57.1% of the deaths that were avoided in 30 countries in Europe due to partial and full COVID-19 vaccinations. These findings affirm the importance of prioritizing older adults when implementing prevention measures.</p>
            <p>In the same study,
                <sup>
                    <xref ref-type="bibr" rid="ref12">12</xref>
                </sup> the researchers found that between December 2020 and November 2021, COVID-19 vaccinations prevented 469,186 deaths of older adults (51.5% of expected deaths) in 33 countries in Europe, with preventable fractions ranging from 5.6% in Ukraine to as much as 92.9% in Iceland. These results are related with the speed with which the countries achieved high vaccination coverage for adults 60 years of age and older. Specifically, in Moldova, Romania and Ukraine, where full coverage was under 60.0%, the highest preventable fraction was 19.9%, whereas countries that quickly achieved full coverage for over 95.0% of their population (Iceland and England) prevented at least 85.8% of expected deaths.
                <sup>
                    <xref ref-type="bibr" rid="ref12">12</xref>
                </sup>
            </p>
            <p>While the number of deaths that were found to have been prevented in Europe is greater than that reported for Colombia, this comparison should be made cautiously. There are several reasons the studies may not be directly comparable for example, that study used effectiveness measures that were higher than what has been previously reported for older adults (60.0% for partial and 95.0% for full vaccinations). The estimates used in the present work are more precise since they take into account differences in the effectiveness of the vaccines by age group, although partial vaccinations are not included. If an estimate of 95.0% were to be used for protection from death with full vaccinations&#x2014;such as in the study mentioned&#x2014;then the number of avoided deaths in Colombia would double, reaching 46,214 lives saved.</p>
            <p>This research offers a conservative measurement of the number of avoided deaths by vaccinating older adults in Colombia, given that it only included lives saved by full vaccinations and it used the lowest available effectiveness measures for each age group, which corresponded to the deaths without prior hospitalization that were reported in the Esperanza cohort.
                <sup>
                    <xref ref-type="bibr" rid="ref9">9</xref>
                </sup> In addition, the effectiveness of boosters was not considered, nor was a significant proportion of older adults who had hybrid immunity, whose protection would be greater.
                <sup>
                    <xref ref-type="bibr" rid="ref13">13</xref>
                </sup> Thus, the number of avoided deaths with the implementation of the national vaccination plan could be much higher than the estimates reported herein.</p>
            <p>The limitations of this study include those that are inherent to the use of secondary information sources, such as the lag between registering events such as vaccinations and deaths. In addition, since this is an ecological analysis, the results could vary when considering individual variables with which counterfactual scenarios are projected.
                <sup>
                    <xref ref-type="bibr" rid="ref14">14</xref>
                </sup> In addition, in Colombia, the coverage with boosters only began at the end of November, so its effects on the prevention of deaths could not be estimated in this first analysis.</p>
            <p>Additionally, this study only considered confirmed COVID-19 deaths, and certainly some COVID-19 deaths went undetected. Although, according to national guidelines, applying a diagnostic test for clinical suspicious deaths (including post-mortem test) is mandatory in Colombia, some people may not have had access to a diagnostic test before or after they died. Furthermore, for any cause of death, there will always be issues related to the final classification of the leading cause of death, as it also depends on access to medical care, clinical judgment, and ultimately the quality of death certificates.</p>
            <p>In addition, it is important to distinguish &#x201c;deaths with COVID-19&#x201d; from &#x201c;deaths from COVID-19&#x201d;, and as matter of fact for some deaths it may be difficult to identify the actual causal chain that led to death even when there is a positive diagnostic test.</p>
            <p>People from some areas and of some socioeconomic level may have greater barriers to access diagnostic tests before or after death, in addition, there are surely variations in the quality of death records throughout the country. These issues could lead to an underestimation of the number of deaths related to COVID-19, but also the estimated number of deaths directly averted. More studies are needed to adjust these estimates considering the variation in the quality of death certificates.</p>
            <p>On the other hand, the prevention of deaths is certainly multifactorial, and non-pharmacological interventions (NPI) likely also played a role, especially during the early phases of the pandemic. The impact of these other measures (NPI) is not evaluated in this study, and to do so would require another and more complex approach, which is beyond our objectives.</p>
            <p>Nevertheless, this approach enables comparisons with previous analyses of other countries, and constitutes one of the components in the comprehensive evaluation of the national vaccination plan, which has as one of its main objectives as the reduction of specific mortality.
                <sup>
                    <xref ref-type="bibr" rid="ref15">15</xref>
                </sup> Another strength of this work is the use of vaccine effectiveness measures estimated in real-life conditions for Colombia&#x2019;s older adult population for each of the age groups,
                <sup>
                    <xref ref-type="bibr" rid="ref9">9</xref>
                </sup> thereby providing results that are closer to the specific situation of the country.</p>
            <p>Future studies could evaluate the number of avoided deaths for the entire population or for special groups, such as children, across the different stages of implementing the national vaccination plan, which is continuing into the year 2022. The scientific and academic communities are encouraged to use other approaches to evaluate and compare the consistency of the conclusions. Lastly, this work serves as input for continuing to promote vaccinations as one of the key strategies for overcoming the COVID-19 pandemic, especially in the older adult population.</p>
        </sec>
        <sec id="sec10">
            <title>Data availability</title>
            <sec id="sec11">
                <title>Source data</title>
                <p>All the original data used to build the final dataset of this study are of public access and can be downloaded from the official websites. The links to access them are shown below:</p>
                <p>The dataset with all the COVID-19 confirmed cases and deaths in Colombia at an individual level is public available at the following link: 
                    <ext-link ext-link-type="uri" xlink:href="https://www.datos.gov.co/widgets/gt2j-8ykr?mobile_redirect=true">https://www.datos.gov.co/widgets/gt2j-8ykr?mobile_redirect=true</ext-link>.</p>
                <p>This database has individual and anonymous information on each confirmed case of COVID-19 in Colombia. For each case, the date of onset of symptoms, the date of report, sex, age, and final clinical status (dead or alive) are presented.</p>
                <p>Board that allows consultation of vaccination coverage for COVID-19 by epidemiological week, municipality and age group in Colombia.</p>
            </sec>
            <sec id="sec12">
                <title>Extended data</title>
                <p>
                    <bold>Figshare:</bold> Dataset of Study: Estimated number of deaths directly avoided because of COVID-19 vaccination among older adults in Colombia. 
                    <ext-link ext-link-type="uri" xlink:href="https://doi.org/10.6084/m9.figshare.19122530">https://doi.org/10.6084/m9.figshare.19122530</ext-link>
                    <sup>
                        <xref ref-type="bibr" rid="ref20">20</xref>
                    </sup>
                </p>
                <p>This project contains the following extended data:
                    <list list-type="bullet">
                        <list-item>
                            <label>-</label>
                            <p>Dataset Avoided Deaths (aggregated data used for final analysis)</p>
                        </list-item>
                    </list>
                </p>
                <p>The authors have permission to publish data from the databases used or if the data were under open licenses that allowed republication.</p>
                <p>Data are available under the terms of the 
                    <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">Creative Commons Attribution 4.0 International license</ext-link> (CC-BY 4.0).</p>
            </sec>
        </sec>
    </body>
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    <sub-article article-type="reviewer-report" id="report140225">
        <front-stub>
            <article-id pub-id-type="doi">10.5256/f1000research.134136.r140225</article-id>
            <title-group>
                <article-title>Reviewer response for version 2</article-title>
            </title-group>
            <contrib-group>
                <contrib contrib-type="author">
                    <name>
                        <surname>Garcia</surname>
                        <given-names>Jenny</given-names>
                    </name>
                    <xref ref-type="aff" rid="r140225a1">1</xref>
                    <role>Referee</role>
                    <uri content-type="orcid">https://orcid.org/0000-0001-9007-7324</uri>
                </contrib>
                <aff id="r140225a1">
                    <label>1</label>French Institute for Demographic Studies (INED), Universit&#x00e9; Paris 1 Panth&#x00e9;on Sorbonne, Paris, France</aff>
            </contrib-group>
            <author-notes>
                <fn fn-type="conflict">
                    <p>
                        <bold>Competing interests: </bold>No competing interests were disclosed.</p>
                </fn>
            </author-notes>
            <pub-date pub-type="epub">
                <day>21</day>
                <month>6</month>
                <year>2022</year>
            </pub-date>
            <permissions>
                <copyright-statement>Copyright: &#x00a9; 2022 Garcia J</copyright-statement>
                <copyright-year>2022</copyright-year>
                <license xlink:href="https://creativecommons.org/licenses/by/4.0/">
                    <license-p>This is an open access peer review report distributed under the terms of the Creative Commons Attribution Licence, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.</license-p>
                </license>
            </permissions>
            <related-article ext-link-type="doi" id="relatedArticleReport140225" related-article-type="peer-reviewed-article" xlink:href="10.12688/f1000research.109331.2"/>
            <custom-meta-group>
                <custom-meta>
                    <meta-name>recommendation</meta-name>
                    <meta-value>approve</meta-value>
                </custom-meta>
            </custom-meta-group>
        </front-stub>
        <body>
            <p>The authors used a counterfactual analysis to estimate the impact of the COVID-19 vaccination strategy on avoiding deaths among older adults in Colombia. This is an important study because a) it quantifies the expected number of deaths without intervention and the estimated number of avoided death when considering the features of the vaccination campaign deployed in Colombia, and b) it contributes to the ongoing debate on the impact of the vaccination strategies deployed by the countries in the onset of their campaigns. The major strength of this study is the usage of the most up-to-date data on vaccination coverage by age groups related to observed vaccine effectiveness in the same population. The authors applied rather simple methods to develop an easily replicable study. Both data and methods are well-referenced and available. While the results are compelling, some comments rose during the review of this research: 
                <list list-type="order">
                    <list-item>
                        <p>According to the authors, the vaccination campaign in Colombia started at the end of February 2021. The share of fully vaccinated people increased rapidly, and around 60% of the population aged 80+ was fully vaccinated in the following five weeks (week 15 starting on April 12, 2021). According to &#x2018;our world in data&#x2019;, Colombia&#x2019;s percentage of fully vaccinated people was 2.32% at the end of the epidemiological week 15 (
                            <ext-link ext-link-type="uri" xlink:href="https://ourworldindata.org/covid-vaccinations">https://ourworldindata.org/covid-vaccinations</ext-link>). This pace of vaccination in the population aged 80+ outstrips the record of forerunners countries such as the USA (
                            <ext-link ext-link-type="uri" xlink:href="https://www.cdc.gov/coronavirus/2019-ncov/vaccines/distributing/about-vaccine-data.html">https://www.cdc.gov/coronavirus/2019-ncov/vaccines/distributing/about-vaccine-data.html</ext-link>,) Belgium (
                            <ext-link ext-link-type="uri" xlink:href="https://covid19-country-overviews.ecdc.europa.eu/countries/Belgium.html#vaccine-uptake">https://covid19-country-overviews.ecdc.europa.eu/countries/Belgium.html#vaccine-uptake</ext-link>), and Chile, where a similar share of complete vaccination in the population aged 80+ took several months or occurred when a larger percentage of people at all ages were fully vaccinated. The difference may come from the type of vaccines used by the countries, the difference in the vaccination strategies or the smaller size of the population aged 80+. According to PAHO figures (
                            <ext-link ext-link-type="uri" xlink:href="https://ais.paho.org/imm/IM_DosisAdmin-Vacunacion.asp">https://ais.paho.org/imm/IM_DosisAdmin-Vacunacion.asp</ext-link>), the share of J&amp;J vaccines used in Colombia was 9 out of 56 million, which means that most of the vaccines in use required two doses. I advise the authors to revise the calculation of the share of fully vaccinated people summarized in figure 1 adding the distribution of the fully vaccinated population by type of vaccine if one-dose or two-dose vaccines, as the scheme of complete vaccination by age group. A brief discussion on the vaccination strategies applied in Colombia is also advisable in this case.</p>
                    </list-item>
                    <list-item>
                        <p>Authors may calculate more precisely the number of avoided and expected deaths by including the observed vaccine effectiveness and the in-use share by type of vaccine. They have already estimated the vaccine effectiveness by type of vaccine in previous research (paper cited in the reference Arregoces Castillo et al. 2021
                            <sup>
                                <xref ref-type="bibr" rid="rep-ref-140225-1">1</xref>
                            </sup>). I enquire the authors, why these estimations were not included if as shown variations were found?</p>
                    </list-item>
                    <list-item>
                        <p>Lastly, I suggest the authors revisiting their aim at using the indicator &#x201c;number of fully vaccinated people needed to prevent a death&#x201d;. As currently stated, a larger number of fully vaccinated people are needed to prevent the death of a person aged 60 to 69 than those who need to prevent the death of a person aged 80 and over. This result seems counterintuitive, especially considering that the raw counts and rates are higher, and the vaccine effectiveness is the lowest for the 80+ age group. In this sense, results are merely informative of the composition effect of the population, in which population size decreases among age groups. Thus, more detailed interpretations of these findings may be needed. In addition, when revising the original paper from which the applied method was taken (Machado et al. 2019 
                            <sup>
                                <xref ref-type="bibr" rid="rep-ref-140225-2">2</xref>
                            </sup>). Machado et al. targeted an international comparison of the number of observed and avoided medically attended influenza-confirmed cases rather than age-differentials in mortality. In this matter, I advise them to add also some discussion about the consequence of using death counts instead of cases for calculating this indicator in the discussion</p>
                    </list-item>
                </list>
            </p>
            <p>Is the work clearly and accurately presented and does it cite the current literature?</p>
            <p>Yes</p>
            <p>If applicable, is the statistical analysis and its interpretation appropriate?</p>
            <p>Yes</p>
            <p>Are all the source data underlying the results available to ensure full reproducibility?</p>
            <p>Yes</p>
            <p>Is the study design appropriate and is the work technically sound?</p>
            <p>Yes</p>
            <p>Are the conclusions drawn adequately supported by the results?</p>
            <p>Yes</p>
            <p>Are sufficient details of methods and analysis provided to allow replication by others?</p>
            <p>Yes</p>
            <p>Reviewer Expertise:</p>
            <p>Demography, Mortality, causes of death analysis using imperfect statistics, Latin America.</p>
            <p>I confirm that I have read this submission and believe that I have an appropriate level of expertise to confirm that it is of an acceptable scientific standard.</p>
        </body>
        <back>
            <ref-list>
                <title>References</title>
                <ref id="rep-ref-140225-1">
                    <label>1</label>
                    <mixed-citation publication-type="journal">
                        <person-group person-group-type="author"/>:
                        <article-title>Effectiveness of COVID-19 Vaccines in Older Adults in Colombia: First Report of the Esperanza Cohort. A Matched-Pair, National Study</article-title>.
                        <source>
                            <italic>SSRN Electronic Journal</italic>
                        </source>.<year>2021</year>;
                        <elocation-id>10.2139/ssrn.3978556</elocation-id>
                        <pub-id pub-id-type="doi">10.2139/ssrn.3978556</pub-id>
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                </ref>
                <ref id="rep-ref-140225-2">
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                        <article-title>Impact of influenza vaccination programmes among the elderly population on primary care, Portugal, Spain and the Netherlands: 2015/16 to 2017/18 influenza seasons.</article-title>
                        <source>
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                        </source>.<year>2019</year>;<volume>24</volume>(<issue>45</issue>) :
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        <sub-article article-type="response" id="comment8478-140225">
            <front-stub>
                <contrib-group>
                    <contrib contrib-type="author">
                        <name>
                            <surname>Fern&#x00e1;ndez-Ni&#x00f1;o</surname>
                            <given-names>Juli&#x00e1;n Alfredo</given-names>
                        </name>
                        <aff>Universidad del Norte, Colombia</aff>
                    </contrib>
                </contrib-group>
                <author-notes>
                    <fn fn-type="conflict">
                        <p>
                            <bold>Competing interests: </bold>We have no additional conflict of interest to declare.</p>
                    </fn>
                </author-notes>
                <pub-date pub-type="epub">
                    <day>5</day>
                    <month>7</month>
                    <year>2022</year>
                </pub-date>
            </front-stub>
            <body>
                <p>We thank the reviewer for her valuable comments. Here we find our responses:</p>
                <p> </p>
                <p> 
                    <bold>Comment</bold>: 1. According to the authors, the vaccination campaign in Colombia started at the end of February 2021. The share of fully vaccinated people increased rapidly, and around 60% of the population aged 80+ was fully vaccinated in the following five weeks (week 15 starting on April 12, 2021). According to &#x2018;our world in data&#x2019;, Colombia&#x2019;s percentage of fully vaccinated people was 2.32% at the end of the epidemiological week 15 (https://ourworldindata.org/covid-vaccinations). This pace of vaccination in the population aged 80+ outstrips the record of forerunners countries such as the USA (https://www.cdc.gov/coronavirus/2019-ncov/vaccines/distributing/about-vaccine-data.html,) Belgium (https://covid19-country-overviews.ecdc.europa.eu/countries/Belgium.html#vaccine-uptake), and Chile, where a similar share of complete vaccination in the population aged 80+ took several months or occurred when a larger percentage of people at all ages were fully vaccinated.</p>
                <p> </p>
                <p> The difference may come from the type of vaccines used by the countries, the difference in the vaccination strategies or the smaller size of the population aged 80+. According to PAHO figures (https://ais.paho.org/imm/IM_DosisAdmin-Vacunacion.asp), the share of J&amp;J vaccines used in Colombia was 9 out of 56 million, which means that most of the vaccines in use required two doses. I advise the authors to revise the calculation of the share of fully vaccinated people summarized in figure 1 adding the distribution of the fully vaccinated population by type of vaccine if one-dose or two-dose vaccines, as the scheme of complete vaccination by age group. A brief discussion on the vaccination strategies applied in Colombia is also advisable in this case.</p>
                <p> </p>
                <p> 
                    <bold>Response:</bold> Unfortunately, considering the reporting lag in 
                    <italic>PAIWEB</italic> is not possible to have updated coverages for each specific vaccine in Colombia at this point. These coverages will be available officially soon, and then we could update this same exercise. &#x00a0;&#x00a0;</p>
                <p> </p>
                <p> Following the peer&#x00b4;s suggestion, we now included a brief discussion on the vaccination strategies in Colombia in the manuscript:</p>
                <p> </p>
                <p> &#x201c;In Colombia, the National Vaccination Plan had two great moments: the first focused on prioritizing people with the highest risk of complications and death in order to maximize the benefit of the vaccines, first guaranteeing access to people with the highest risk, and subsequently, this access was progressively opened to lower risk groups until total massification. In the case of older adults, the opening occurred for five years from older to younger during the first two stages. Additionally, in the case of dispersed municipalities, it was also necessary to unify stages and complement them with active search strategies at home&#x201d;</p>
                <p> </p>
                <p> 
                    <bold>Comment</bold>: 2. Authors may calculate more precisely the number of avoided and expected deaths by including the observed vaccine effectiveness and the in-use share by type of vaccine. They have already estimated the vaccine effectiveness by type of vaccine in previous research (paper cited in the reference Arregoces Castillo et al. 20211). I enquire the authors, why these estimations were not included if as shown variations were found.</p>
                <p> </p>
                <p> 
                    <bold>Response:</bold> The cited article was published by us. The reason for using the effectiveness estimate for all vaccines is that at that time and still now the specific consolidated coverage for each vaccine was and is not still publicly available. Therefore, we use the coverage given by people fully vaccinated as in other previous study.</p>
                <p> </p>
                <p> However, in the sensitivity analysis, the estimation exercise was performed by changing the coverage in a range between the lowest and the highest coverage estimated by age group.</p>
                <p> This exercise should be repeated with better consolidated information when it becomes available.</p>
                <p> </p>
                <p> 
                    <bold>Comment</bold>: 3. Lastly, I suggest the authors revisiting their aim at using the indicator &#x201c;number of fully vaccinated people needed to prevent a death&#x201d;. As currently stated, a larger number of fully vaccinated people are needed to prevent the death of a person aged 60 to 69 than those who need to prevent the death of a person aged 80 and over. This result seems counterintuitive, especially considering that the raw counts and rates are higher, and the vaccine effectiveness is the lowest for the 80+ age group. In this sense, results are merely informative of the composition effect of the population, in which population size decreases among age groups. Thus, more detailed interpretations of these findings may be needed. In addition, when revising the original paper from which the applied method was taken (Machado et al. 2019 2). Machado et al. targeted an international comparison of the number of observed and avoided medically attended influenza-confirmed cases rather than age-differentials in mortality. In this matter, I advise them to add also some discussion about the consequence of using death counts instead of cases for calculating this indicator in the discussion.</p>
                <p> </p>
                <p> 
                    <bold>Response:</bold> The reason that the NNT is lower with increasing age is mainly due to the increased risk of death with increasing age. Given an increased risk of complications and death in older adults with increasing age, the number of people needed to vaccinate is smaller. Similarly, if the risk is lower, more people need to be vaccinated, so the NNT decreases with age.</p>
                <p> </p>
                <p> Regarding the use of confirmed deaths, Finally, we included a comment in the discussion about the limitation of using confirmed deaths.</p>
            </body>
        </sub-article>
    </sub-article>
    <sub-article article-type="reviewer-report" id="report138429">
        <front-stub>
            <article-id pub-id-type="doi">10.5256/f1000research.134136.r138429</article-id>
            <title-group>
                <article-title>Reviewer response for version 2</article-title>
            </title-group>
            <contrib-group>
                <contrib contrib-type="author">
                    <name>
                        <surname>Urdinola</surname>
                        <given-names>B. Piedad</given-names>
                    </name>
                    <xref ref-type="aff" rid="r138429a1">1</xref>
                    <role>Referee</role>
                </contrib>
                <aff id="r138429a1">
                    <label>1</label>School of Economics, Universidad Nacional de Colombia-Bogot&#x00e1;, Bogot&#x00e1;, Colombia</aff>
            </contrib-group>
            <author-notes>
                <fn fn-type="conflict">
                    <p>
                        <bold>Competing interests: </bold>No competing interests were disclosed.</p>
                </fn>
            </author-notes>
            <pub-date pub-type="epub">
                <day>1</day>
                <month>6</month>
                <year>2022</year>
            </pub-date>
            <permissions>
                <copyright-statement>Copyright: &#x00a9; 2022 Urdinola BP</copyright-statement>
                <copyright-year>2022</copyright-year>
                <license xlink:href="https://creativecommons.org/licenses/by/4.0/">
                    <license-p>This is an open access peer review report distributed under the terms of the Creative Commons Attribution Licence, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.</license-p>
                </license>
            </permissions>
            <related-article ext-link-type="doi" id="relatedArticleReport138429" related-article-type="peer-reviewed-article" xlink:href="10.12688/f1000research.109331.2"/>
            <custom-meta-group>
                <custom-meta>
                    <meta-name>recommendation</meta-name>
                    <meta-value>approve</meta-value>
                </custom-meta>
            </custom-meta-group>
        </front-stub>
        <body>
            <p>I have no further comments. Approved for indexing from my side.</p>
            <p>Is the work clearly and accurately presented and does it cite the current literature?</p>
            <p>Yes</p>
            <p>If applicable, is the statistical analysis and its interpretation appropriate?</p>
            <p>Yes</p>
            <p>Are all the source data underlying the results available to ensure full reproducibility?</p>
            <p>Partly</p>
            <p>Is the study design appropriate and is the work technically sound?</p>
            <p>Yes</p>
            <p>Are the conclusions drawn adequately supported by the results?</p>
            <p>Yes</p>
            <p>Are sufficient details of methods and analysis provided to allow replication by others?</p>
            <p>Partly</p>
            <p>Reviewer Expertise:</p>
            <p>NA</p>
            <p>I confirm that I have read this submission and believe that I have an appropriate level of expertise to confirm that it is of an acceptable scientific standard.</p>
        </body>
    </sub-article>
    <sub-article article-type="reviewer-report" id="report128107">
        <front-stub>
            <article-id pub-id-type="doi">10.5256/f1000research.120820.r128107</article-id>
            <title-group>
                <article-title>Reviewer response for version 1</article-title>
            </title-group>
            <contrib-group>
                <contrib contrib-type="author">
                    <name>
                        <surname>Urdinola</surname>
                        <given-names>B. Piedad</given-names>
                    </name>
                    <xref ref-type="aff" rid="r128107a1">1</xref>
                    <role>Referee</role>
                </contrib>
                <aff id="r128107a1">
                    <label>1</label>School of Economics, Universidad Nacional de Colombia-Bogot&#x00e1;, Bogot&#x00e1;, Colombia</aff>
            </contrib-group>
            <author-notes>
                <fn fn-type="conflict">
                    <p>
                        <bold>Competing interests: </bold>No competing interests were disclosed.</p>
                </fn>
            </author-notes>
            <pub-date pub-type="epub">
                <day>11</day>
                <month>5</month>
                <year>2022</year>
            </pub-date>
            <permissions>
                <copyright-statement>Copyright: &#x00a9; 2022 Urdinola BP</copyright-statement>
                <copyright-year>2022</copyright-year>
                <license xlink:href="https://creativecommons.org/licenses/by/4.0/">
                    <license-p>This is an open access peer review report distributed under the terms of the Creative Commons Attribution Licence, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.</license-p>
                </license>
            </permissions>
            <related-article ext-link-type="doi" id="relatedArticleReport128107" related-article-type="peer-reviewed-article" xlink:href="10.12688/f1000research.109331.1"/>
            <custom-meta-group>
                <custom-meta>
                    <meta-name>recommendation</meta-name>
                    <meta-value>approve-with-reservations</meta-value>
                </custom-meta>
            </custom-meta-group>
        </front-stub>
        <body>
            <p>The research question is a very important one that will allow us to understand the effects of&#x00a0;vaccination on mortality for the most affected age group by the disease in Colombia and the&#x00a0;proposed methods lead to a conservative estimation, however it can be further refined by adding&#x00a0;the following comments: 
                <list list-type="order">
                    <list-item>
                        <p>The methods the authors proposed follow closely Machado et al.&#x2019;s, that article explicitly&#x00a0;exposes that they are accounting for the number of medically attended influenza-confirmed&#x00a0;cases (MAICC). I believe this is also the case for the article at hand, accounting for&#x00a0;medically attended cases, however it is not explicit in the document, and it makes an&#x00a0;important difference to mention it. Because a part of the Colombian population inhabits low&#x00a0;density municipalities with little or hard to reach health facilities where could be properly&#x00a0;attended by a medical doctor. Besides other reasons why people pass unattended even with&#x00a0;access to medical assistance, such as congestion due to the pandemic, postponement to visit&#x00a0;MDs due to fear of contagion and the like.</p>
                    </list-item>
                    <list-item>
                        <p>On the same note, please make explicit if the paper is accounted deaths are all confirmed&#x00a0;deaths or if they also include suspicious cases as well.</p>
                    </list-item>
                    <list-item>
                        <p>Finally, there could also be confounding with other government policies or self-imposed&#x00a0;habits that reduce the mortality in the group under study. Particularly in Colombia,&#x00a0;lockdowns were prolonged for elderly, and many may have changed their behavior even&#x00a0;after the restrictions were removed. Also, the national protests occurred during the period&#x00a0;under analysis and made very hard to move across some towns and even within certain&#x00a0;towns such as Cali and Bogota, particularly for elderly who mostly were not involved in&#x00a0;them. Authors could be inspired by the following work: Arbel, R., Moore, C. M.,&#x00a0;Sergienko, R., &amp; Pliskin, J. (2022). How many lives do COVID vaccines save? Evidence from Israel. American journal of infection control, 50(3), 258-261.
                            <sup>
                                <xref ref-type="bibr" rid="rep-ref-128107-1">1</xref>
                            </sup>
                        </p>
                    </list-item>
                </list>
            </p>
            <p>Is the work clearly and accurately presented and does it cite the current literature?</p>
            <p>Yes</p>
            <p>If applicable, is the statistical analysis and its interpretation appropriate?</p>
            <p>Yes</p>
            <p>Are all the source data underlying the results available to ensure full reproducibility?</p>
            <p>Partly</p>
            <p>Is the study design appropriate and is the work technically sound?</p>
            <p>Yes</p>
            <p>Are the conclusions drawn adequately supported by the results?</p>
            <p>Yes</p>
            <p>Are sufficient details of methods and analysis provided to allow replication by others?</p>
            <p>Partly</p>
            <p>Reviewer Expertise:</p>
            <p>NA</p>
            <p>I confirm that I have read this submission and believe that I have an appropriate level of expertise to confirm that it is of an acceptable scientific standard, however I have significant reservations, as outlined above.</p>
        </body>
        <back>
            <ref-list>
                <title>References</title>
                <ref id="rep-ref-128107-1">
                    <label>1</label>
                    <mixed-citation publication-type="journal">
                        <person-group person-group-type="author"/>:
                        <article-title>How many lives do COVID vaccines save? Evidence from Israel.</article-title>
                        <source>
                            <italic>Am J Infect Control</italic>
                        </source>.<volume>50</volume>(<issue>3</issue>) :
                        <elocation-id>10.1016/j.ajic.2021.12.019</elocation-id>
                        <fpage>258</fpage>-<lpage>261</lpage>
                        <pub-id pub-id-type="pmid">34971714</pub-id>
                        <pub-id pub-id-type="doi">10.1016/j.ajic.2021.12.019</pub-id>
                    </mixed-citation>
                </ref>
            </ref-list>
        </back>
        <sub-article article-type="response" id="comment8254-128107">
            <front-stub>
                <contrib-group>
                    <contrib contrib-type="author">
                        <name>
                            <surname>Fern&#x00e1;ndez-Ni&#x00f1;o</surname>
                            <given-names>Juli&#x00e1;n Alfredo</given-names>
                        </name>
                        <aff>Universidad del Norte, Colombia</aff>
                    </contrib>
                </contrib-group>
                <author-notes>
                    <fn fn-type="conflict">
                        <p>
                            <bold>Competing interests: </bold>No competing interests were disclosed.</p>
                    </fn>
                </author-notes>
                <pub-date pub-type="epub">
                    <day>16</day>
                    <month>5</month>
                    <year>2022</year>
                </pub-date>
            </front-stub>
            <body>
                <p>We thank Dr. Urdinola for reviewing our manuscript. We present our responses below each comment as well as a new version of our manuscript (Version #2). 
                    <list list-type="bullet">
                        <list-item>
                            <p>The methods the authors proposed follow closely Machado et al.&#x2019;s, that article explicitly exposes that they are accounting for the number of medically attended influenza-confirmed cases (MAICC). I believe this is also the case for the article at hand, accounting for medically attended cases, however it is not explicit in the document, and it makes an important difference to mention it. Because a part of the Colombian population inhabits low density municipalities with little or hard to reach health facilities where could be properly attended by a medical doctor. Besides other reasons why people pass unattended even with access to medical assistance, such as congestion due to the pandemic, postponement to visit MDs due to fear of contagion and the like.</p>
                        </list-item>
                    </list> 
                    <bold>Response:</bold>&#x00a0; 
                    <italic>Our analysis only included 
                        <bold>confirmed </bold>COVID-19 deaths. These deaths included some that were surely medically treated (the majority) and some that were not.</italic>
                </p>
                <p> </p>
                <p> 
                    <italic>We use confirmed deaths obtained from the official national registry called RAUF-ND. Confirmed deaths includes deaths certified by a medical doctor regardless of whether the person was able to receive medical care before they died. COVID-19 death was defined as a death resulting from clinically compatible illness in a confirmed case of COVID-19, unless there was a clear alternative cause of death that could not be related to COVID-19. In this sense, Colombia uses the definitions recommended by the WHO for surveillance of COVID-19 (Pan American Health Organization Case definitions for COVID-19 surveillance. 
                        <ext-link ext-link-type="uri" xlink:href="https://www.paho.org/en/case-definitions-covid-19-surveillance-16-december-2020">https://www.paho.org/en/case-definitions-covid-19-surveillance-16-december-2020</ext-link>).</italic>
                </p>
                <p> </p>
                <p> 
                    <italic>Certainly, we know that some COVID-19 deaths went undetected as some people might not have had access to a diagnostic test before or after they died. (Although, according to national guidelines, applying a diagnostic test for clinical suspicious deaths (including post-mortem test) is mandatory in Colombia). Furthermore, for any cause of death, there will always be issues related to the final classification of the leading cause of death or even the previous clinical diagnosis, as it also depends on access to medical care, clinical judgment, and ultimately the quality of death certificates.</italic>
                </p>
                <p> </p>
                <p> 
                    <italic>In addition, it is important to distinguish &#x201c;deaths with COVID-19&#x201d; from &#x201c;deaths from COVID-19&#x201d;, and as matter of fact for some deaths it may be difficult to identify the actual causal chain that led to death even when there is a positive diagnostic test.</italic>
                </p>
                <p> </p>
                <p> 
                    <italic>We agree with the reviewer that this could be a big limitation of the study.</italic>
                </p>
                <p> </p>
                <p> 
                    <italic>To address this, we need some adjustments that are not possible now considering the COVID death reclassification is a process that is still in progress. Colombia, like other countries in the world, is still advancing the process of reclassifying COVID-19 deaths by carrying out clinical algorithms, verbal autopsies, and the search for unidentified diagnostic tests. This is a process that takes months and ends in a process of statistical amendment. Therefore, we are thinking of repeating this same analysis when final classification is available.</italic>
                </p>
                <p> </p>
                <p> 
                    <italic>We added this as a limitation in our discussion.</italic>
                </p>
                <p> &#x00a0; 
                    <list list-type="bullet">
                        <list-item>
                            <p>On the same note, please make explicit if the paper is accounted deaths are all confirmed deaths or if they also include suspicious cases as well.</p>
                        </list-item>
                    </list> 
                    <italic>
                        <bold>Response:</bold>&#x00a0;Only confirmed deaths from COVID-19 were considered in our analysis as in previous studies. Suspicious deaths include deaths where the cause cannot be confirmed to be associated with a SARS-Cov-2 infection, certainly this may include a proportion of real deaths from COVID-19, but also probably includes an important share of syndromatically similar deaths from other causes such as Influenza.</italic>
                </p>
                <p> </p>
                <p> 
                    <italic>The use of suspicious deaths would imply making some risky assumptions about the proportion of suspicious deaths that would be COVID-19 deaths, which varies at the territorial level. This may be a later analysis as soon as we have the final reclassification of deaths in Colombia.</italic>
                </p>
                <p>
                    <italic> </italic>
                </p>
                <p>
                    <italic> Now, that is mentioned in the discussion of the manuscript.</italic>
                </p>
                <p> &#x00a0; 
                    <list list-type="bullet">
                        <list-item>
                            <p>Finally, there could also be confounding with other government policies or self-imposed habits that reduce the mortality in the group under study. Particularly in Colombia, lockdowns were prolonged for elderly, and many may have changed their behavior even after the restrictions were removed. Also, the national protests occurred during the period under analysis and made very hard to move across some towns and even within certain towns such as Cali and Bogota, particularly for elderly who mostly were not involved in them. Authors could be inspired by the following work: Arbel, R., Moore, C. M., Sergienko, R., &amp; Pliskin, J. (2022). How many lives do COVID vaccines save? Evidence from Israel. American journal of infection control, 50(3), 258-261.1</p>
                        </list-item>
                    </list> 
                    <bold>Response</bold>: 
                    <italic>The estimate of avoided deaths made in this study is a conservative measure for reasons explained in the manuscript. However, the prevention of deaths is certainly multifactorial, and non-pharmacological interventions (NPI) likely also played a role, especially during the early phases of the pandemic as we showed before: 
                        <ext-link ext-link-type="uri" xlink:href="https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8289626/">https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8289626/</ext-link>
                    </italic>
                </p>
                <p> </p>
                <p> 
                    <italic>In Colombia, the differential measures for older adults lasted only a few weeks after being suspended by the Colombian Constitutional Court in June of 2020 before of the beginning of the National Vaccination Plan in Colombia during 2021. &#x00a0;&#x00a0;(
                        <ext-link ext-link-type="uri" xlink:href="https://www.elespectador.com/salud/corte-constitucional-amparo-los-derechos-de-participantes-de-la-revolucion-de-las-canas/">https://www.elespectador.com/salud/corte-constitucional-amparo-los-derechos-de-participantes-de-la-revolucion-de-las-canas/</ext-link>)</italic>
                </p>
                <p> </p>
                <p> 
                    <italic>The impact of these other measures (NPI) is not evaluated in this study, and to do so would require another and more complex approach, which is beyond our objectives. However, we can affirm that the NPI (as national lockdowns) affected the entire population, although certainly in real life, some social groups could have different responses, for example to isolation whose adherence depends on employment or housing conditions (as well as other social determinants), however these factors are likely more important for the risk of infection than for the risk of death. Certainly, this study is a rough approximation from an ecological level, and it is not intended to evaluate the effect of other measures, nor their interaction with other factors.</italic>
                </p>
                <p> </p>
                <p> 
                    <italic>Regarding the impact of the protests, it is certainly something very difficult to evaluate. We tried to explore this impact in one previous study: &#x00a0;</italic>
                </p>
                <p> 
                    <italic>
                        <ext-link ext-link-type="uri" xlink:href="https://papers.ssrn.com/sol3/papers.cfm?abstract_id=3899602">https://papers.ssrn.com/sol3/papers.cfm?abstract_id=3899602</ext-link>
                    </italic>
                </p>
                <p> </p>
                <p> 
                    <italic>We added a comment in our discussion.</italic>
                </p>
            </body>
        </sub-article>
    </sub-article>
</article>
