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  <front>
    <journal-meta>
      <journal-id journal-id-type="publisher-id">JFR</journal-id>
      <journal-id journal-id-type="nlm-ta">JMIR Form Res</journal-id>
      <journal-title>JMIR Formative Research</journal-title>
      <issn pub-type="epub">2561-326X</issn>
      <publisher>
        <publisher-name>JMIR Publications</publisher-name>
        <publisher-loc>Toronto, Canada</publisher-loc>
      </publisher>
    </journal-meta>
    <article-meta>
      <article-id pub-id-type="publisher-id">v8i1e55013</article-id>
      <article-id pub-id-type="pmid">38941609</article-id>
      <article-id pub-id-type="doi">10.2196/55013</article-id>
      <article-categories>
        <subj-group subj-group-type="heading">
          <subject>Original Paper</subject>
        </subj-group>
        <subj-group subj-group-type="article-type">
          <subject>Original Paper</subject>
        </subj-group>
      </article-categories>
      <title-group>
        <article-title>Nonrepresentativeness of Human Mobility Data and its Impact on Modeling Dynamics of the COVID-19 Pandemic: Systematic Evaluation</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="editor">
          <name>
            <surname>Lau</surname>
            <given-names>Lawrence Chun Man</given-names>
          </name>
        </contrib>
      </contrib-group>
      <contrib-group>
        <contrib contrib-type="reviewer">
          <name>
            <surname>Su</surname>
            <given-names>Yujie</given-names>
          </name>
        </contrib>
        <contrib contrib-type="reviewer">
          <name>
            <surname>Liu</surname>
            <given-names>Rui</given-names>
          </name>
        </contrib>
      </contrib-group>
      <contrib-group>
        <contrib id="contrib1" contrib-type="author">
          <name name-style="western">
            <surname>Liu</surname>
            <given-names>Chuchu</given-names>
          </name>
          <degrees>PhD</degrees>
          <xref rid="aff1" ref-type="aff">1</xref>
          <xref rid="aff2" ref-type="aff">2</xref>
          <ext-link ext-link-type="orcid">https://orcid.org/0000-0001-9424-8266</ext-link>
        </contrib>
        <contrib id="contrib2" contrib-type="author">
          <name name-style="western">
            <surname>Holme</surname>
            <given-names>Petter</given-names>
          </name>
          <degrees>Prof Dr</degrees>
          <xref rid="aff3" ref-type="aff">3</xref>
          <xref rid="aff4" ref-type="aff">4</xref>
          <ext-link ext-link-type="orcid">https://orcid.org/0000-0003-2156-1096</ext-link>
        </contrib>
        <contrib id="contrib3" contrib-type="author">
          <name name-style="western">
            <surname>Lehmann</surname>
            <given-names>Sune</given-names>
          </name>
          <degrees>Prof Dr</degrees>
          <xref rid="aff5" ref-type="aff">5</xref>
          <ext-link ext-link-type="orcid">https://orcid.org/0000-0001-6099-2345</ext-link>
        </contrib>
        <contrib id="contrib4" contrib-type="author">
          <name name-style="western">
            <surname>Yang</surname>
            <given-names>Wenchuan</given-names>
          </name>
          <degrees>PhD</degrees>
          <xref rid="aff2" ref-type="aff">2</xref>
          <ext-link ext-link-type="orcid">https://orcid.org/0000-0003-3194-1690</ext-link>
        </contrib>
        <contrib id="contrib5" contrib-type="author" corresp="yes">
          <name name-style="western">
            <surname>Lu</surname>
            <given-names>Xin</given-names>
          </name>
          <degrees>Prof Dr</degrees>
          <xref rid="aff2" ref-type="aff">2</xref>
          <address>
            <institution>College of Systems Engineering</institution>
            <institution>National University of Defense Technology</institution>
            <addr-line>No 137 Yanwachi Street</addr-line>
            <addr-line>Changsha, 410073</addr-line>
            <country>China</country>
            <phone>86 18627561577</phone>
            <email>xin.lu.lab@outlook.com</email>
          </address>
          <ext-link ext-link-type="orcid">https://orcid.org/0000-0002-3547-6493</ext-link>
        </contrib>
      </contrib-group>
      <aff id="aff1">
        <label>1</label>
        <institution>School of Economics and Management</institution>
        <institution>Changsha University of Science and Technology</institution>
        <addr-line>Changsha</addr-line>
        <country>China</country>
      </aff>
      <aff id="aff2">
        <label>2</label>
        <institution>College of Systems Engineering</institution>
        <institution>National University of Defense Technology</institution>
        <addr-line>Changsha</addr-line>
        <country>China</country>
      </aff>
      <aff id="aff3">
        <label>3</label>
        <institution>Department of Computer Science</institution>
        <institution>Aalto University</institution>
        <addr-line>Espoo</addr-line>
        <country>Finland</country>
      </aff>
      <aff id="aff4">
        <label>4</label>
        <institution>Center for Computational Social Science</institution>
        <institution>Kobe University</institution>
        <addr-line>Kobe</addr-line>
        <country>Japan</country>
      </aff>
      <aff id="aff5">
        <label>5</label>
        <institution>Department of Applied Mathematics and Computer Science</institution>
        <institution>Technical University of Denmark</institution>
        <addr-line>Copenhagen</addr-line>
        <country>Denmark</country>
      </aff>
      <author-notes>
        <corresp>Corresponding Author: Xin Lu <email>xin.lu.lab@outlook.com</email></corresp>
      </author-notes>
      <pub-date pub-type="collection">
        <year>2024</year>
      </pub-date>
      <pub-date pub-type="epub">
        <day>28</day>
        <month>6</month>
        <year>2024</year>
      </pub-date>
      <volume>8</volume>
      <elocation-id>e55013</elocation-id>
      <history>
        <date date-type="received">
          <day>5</day>
          <month>12</month>
          <year>2023</year>
        </date>
        <date date-type="rev-request">
          <day>21</day>
          <month>2</month>
          <year>2024</year>
        </date>
        <date date-type="rev-recd">
          <day>31</day>
          <month>3</month>
          <year>2024</year>
        </date>
        <date date-type="accepted">
          <day>19</day>
          <month>4</month>
          <year>2024</year>
        </date>
      </history>
      <copyright-statement>©Chuchu Liu, Petter Holme, Sune Lehmann, Wenchuan Yang, Xin Lu. Originally published in JMIR Formative Research (https://formative.jmir.org), 28.06.2024.</copyright-statement>
      <copyright-year>2024</copyright-year>
      <license license-type="open-access" xlink:href="https://creativecommons.org/licenses/by/4.0/">
        <p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work, first published in JMIR Formative Research, is properly cited. The complete bibliographic information, a link to the original publication on https://formative.jmir.org, as well as this copyright and license information must be included.</p>
      </license>
      <self-uri xlink:href="https://formative.jmir.org/2024/1/e55013" xlink:type="simple"/>
      <abstract>
        <sec sec-type="background">
          <title>Background</title>
          <p>In recent years, a range of novel smartphone-derived data streams about human mobility have become available on a near–real-time basis. These data have been used, for example, to perform traffic forecasting and epidemic modeling. During the COVID-19 pandemic in particular, human travel behavior has been considered a key component of epidemiological modeling to provide more reliable estimates about the volumes of the pandemic’s importation and transmission routes, or to identify hot spots. However, nearly universally in the literature, the representativeness of these data, how they relate to the underlying real-world human mobility, has been overlooked. This disconnect between data and reality is especially relevant in the case of socially disadvantaged minorities.</p>
        </sec>
        <sec sec-type="objective">
          <title>Objective</title>
          <p>The objective of this study is to illustrate the nonrepresentativeness of data on human mobility and the impact of this nonrepresentativeness on modeling dynamics of the epidemic. This study systematically evaluates how real-world travel flows differ from census-based estimations, especially in the case of socially disadvantaged minorities, such as older adults and women, and further measures biases introduced by this difference in epidemiological studies.</p>
        </sec>
        <sec sec-type="methods">
          <title>Methods</title>
          <p>To understand the demographic composition of population movements, a nationwide mobility data set from 318 million mobile phone users in China from January 1 to February 29, 2020, was curated. Specifically, we quantified the disparity in the population composition between actual migrations and resident composition according to census data, and shows how this nonrepresentativeness impacts epidemiological modeling by constructing an age-structured SEIR (Susceptible-Exposed-Infected- Recovered) model of COVID-19 transmission.</p>
        </sec>
        <sec sec-type="results">
          <title>Results</title>
          <p>We found a significant difference in the demographic composition between those who travel and the overall population. In the population flows, 59% (n=20,067,526) of travelers are young and 36% (n=12,210,565) of them are middle-aged (<italic>P</italic>&#60;.001), which is completely different from the overall adult population composition of China (where 36% of individuals are young and 40% of them are middle-aged). This difference would introduce a striking bias in epidemiological studies: the estimation of maximum daily infections differs nearly 3 times, and the peak time has a large gap of 46 days.</p>
        </sec>
        <sec sec-type="conclusions">
          <title>Conclusions</title>
          <p>The difference between actual migrations and resident composition strongly impacts outcomes of epidemiological forecasts, which typically assume that flows represent underlying demographics. Our findings imply that it is necessary to measure and quantify the inherent biases related to nonrepresentativeness for accurate epidemiological surveillance and forecasting.</p>
        </sec>
      </abstract>
      <kwd-group>
        <kwd>human mobility</kwd>
        <kwd>data representativeness</kwd>
        <kwd>population composition</kwd>
        <kwd>COVID-19</kwd>
        <kwd>epidemiological modeling</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec sec-type="introduction">
      <title>Introduction</title>
      <p>With large-scale empirical data (eg, mobile phone records, GPS data, and location-based social network data) becoming available with increasingly fine spatial and temporal resolution [<xref ref-type="bibr" rid="ref1">1</xref>], quantitative studies on individual and collective mobility patterns have flourished in the past few years [<xref ref-type="bibr" rid="ref2">2</xref>-<xref ref-type="bibr" rid="ref6">6</xref>]. These developments have offered advances with respect to understanding migratory flows, traffic forecasting, urban planning, and epidemic modeling [<xref ref-type="bibr" rid="ref7">7</xref>-<xref ref-type="bibr" rid="ref10">10</xref>]. The ongoing COVID-19 pandemic has further intensified discussions on how to optimally use human mobility research to support outbreak responses and nonpharmaceutical interventions (eg, contact tracing) [<xref ref-type="bibr" rid="ref11">11</xref>-<xref ref-type="bibr" rid="ref14">14</xref>].</p>
      <p>The representativeness of data sets used to infer real-world human mobility, however, has typically not been explicitly incorporated in such analyses. This is potentially troubling as representativeness is known to be especially poor for socially disadvantaged minorities such as low-income groups, women, children, and older people. For example, it has been confirmed that individuals’ probability of travel is not randomly or equally distributed, and there is significant heterogeneity when comparing the travel patterns of different demographic groups [<xref ref-type="bibr" rid="ref15">15</xref>-<xref ref-type="bibr" rid="ref17">17</xref>]. For example, women are more localized than men in their movements and visit fewer locations in regions such as Latin America, Bangladesh, and sub-Saharan Africa [<xref ref-type="bibr" rid="ref18">18</xref>,<xref ref-type="bibr" rid="ref19">19</xref>]. In the specific case of epidemic outbreaks, low-income individuals are not necessarily able to limit their exposure to a circulating virus by reducing mobility and must continue, for example, commuting behavior to remain employed. Thus, this group is subject to a substantially higher probability of becoming infected in an epidemic than higher-income groups [<xref ref-type="bibr" rid="ref20">20</xref>]. Further, different contact rates across age groups have been observed in COVID-19 incidence cases [<xref ref-type="bibr" rid="ref21">21</xref>], and higher COVID-19 infection rates among disadvantaged racial and socioeconomic groups have been observed in multiple studies [<xref ref-type="bibr" rid="ref22">22</xref>,<xref ref-type="bibr" rid="ref23">23</xref>]. It has also been argued that including information about demographic heterogeneity in human mobility patterns, for example, by combining demographically stratified travel data with epidemiology research, would make epidemiological models more robust [<xref ref-type="bibr" rid="ref24">24</xref>].</p>
      <p>While it is widely recognized that rich new data sources can provide near–real-time information about human mobility [<xref ref-type="bibr" rid="ref25">25</xref>] and powerful input into models that estimate imported cases using regional mobility information when modeling pathogen transmission, the state-of-the-art models do not consider data representativeness. This is typically because for privacy concerns, most data sets are not disaggregated demographically. Instead, relevant information on demographic features and social relationships is traditionally collected by censuses and other surveys [<xref ref-type="bibr" rid="ref26">26</xref>-<xref ref-type="bibr" rid="ref28">28</xref>].</p>
      <p>As we argue below, however, simply considering the population demographics at the origin of a trip does not represent the traveling population.</p>
      <p>To systematically evaluate how real-world travel flows differ from census-based estimations, we use an aggregated and anonymized data set collected from 318 million mobile phones. Specifically, we quantified the disparity in the population composition between actual migrations and resident composition according to census data and found significant differences. We then investigated how this nonrepresentativeness impacts epidemiological modeling. The aim of this study is to illustrate the nonrepresentativeness of data on human mobility and the impact of this nonrepresentativeness on modeling dynamics of the COVID-19 pandemic.</p>
    </sec>
    <sec sec-type="methods">
      <title>Methods</title>
      <sec>
        <title>Data Description</title>
        <p>In China, a total of 847 million Chinese people use mobile phones to surf the internet, accounting for 99.1% of the total netizens. The penetration rate of mobile phone usage among the population aged 15-65 years is almost 100%, providing extensive coverage and high representativeness for the national population. To understand the demographic composition of population movements, we collected nationwide mobility data from 318 million mobile phone users in China from January 1 to February 29, 2020. All population flow data were aggregated on the basis of users’ geographic locations and demographic characteristics (eg, gender and age). To enhance extrapolation and representation of the population, a machine learning method was used to extrapolate the data to all users of the entire network, which also agrees well with the official population statistics (<italic>R<sup>2</sup></italic>=0.98; <xref ref-type="supplementary-material" rid="app1">Multimedia Appendix 1</xref> [<xref ref-type="bibr" rid="ref2">2</xref>,<xref ref-type="bibr" rid="ref29">29</xref>-<xref ref-type="bibr" rid="ref31">31</xref>]).</p>
      </sec>
      <sec>
        <title>Epidemiological Modeling</title>
        <p>To illustrate the impact of data nonrepresentativeness on modeling dynamics of the COVID-19 epidemic, we constructed an age-structured SEIR (Susceptible-Exposed-Infected- Recovered) model of COVID-19 transmission developed by Prem et al [<xref ref-type="bibr" rid="ref32">32</xref>]. In fitting this age-mixing transmission model with heterogeneous contact rates between age groups [<xref ref-type="bibr" rid="ref33">33</xref>], the differential age composition of traveling people and the overall national population were input as alternative parameters. By comparing model outputs, we measured the bias caused by the data nonrepresentativeness of demographic composition in forecasting epidemic dynamics.</p>
      </sec>
      <sec>
        <title>Ethical Considerations</title>
        <p>The study data provided by the operator were anonymized (without personally identifying information) and aggregated at the city level. As no individual study was carried out, no ethical approval was required to undertake this scoping study.</p>
      </sec>
    </sec>
    <sec sec-type="results">
      <title>Results</title>
      <sec>
        <title>Demographic Heterogeneity Among Traveling Individuals</title>
        <p>For our analysis, we draw on a unique data set from China. China is an ideal location to study representativeness in mobile phone data because of its very high smartphone penetration. In China, the penetration rate of mobile phone usage among the population aged 15-65 years is almost 100%, providing extensive coverage and high representativeness for the national population [<xref ref-type="bibr" rid="ref29">29</xref>]. We estimate the full national mobility at the city level by extrapolating from 318 million mobile phone users (see <xref ref-type="supplementary-material" rid="app1">Multimedia Appendix 1</xref> [<xref ref-type="bibr" rid="ref2">2</xref>,<xref ref-type="bibr" rid="ref29">29</xref>-<xref ref-type="bibr" rid="ref31">31</xref>] for details).</p>
        <p>Our comparison reveals a marked difference between the overall population composition and those who travel. Hereinafter, we define “young” individuals as those in their 20s-30s, “middle-aged” individuals as those in their 40s-50s, and “older adults” as those older than 60 years. Specifically, we found that the majority of population flows within China are generated by men and young people. Although mobility behavior fluctuated strongly across our observation period (<xref rid="figure1" ref-type="fig">Figures 1</xref>A and 1B) and is affected by temporal factors such as weekdays and holidays, the composition of travelers did not change significantly over different periods (<xref rid="figure1" ref-type="fig">Figures 1</xref>C and 1D). In the population flows, 59% (n=20,067,526) of travelers are young and 36% (n=12,210,565) of them are middle-aged (as children generally do not have mobile phones, all ratios are calculated with minors younger than 18 years having been excluded). This ratio is completely different from what we observed in the overall adult population composition of China (about 1084 million in total) [<xref ref-type="bibr" rid="ref30">30</xref>], where 36% (n=390 million) of individuals are young and 40% (n=430 million) of them are middle-aged. Furthermore, daily male travelers constitute approximately 59% (n=20,858,026) of the total number of traveling individuals, which is greater than the overall proportion of men (51.2%, n=721 million). Compared to men, women travel less often, but we found that when women travel, they tend to move slightly further than men, with 175 km traveled per person in an average intercity trip, compared to 170 km for men (<italic>P</italic>&#60;.001).</p>
        <fig id="figure1" position="float">
          <label>Figure 1</label>
          <caption>
            <p>Profiles of the intercity movements extracted from mobile phone data between January 1 and February 29, 2020, in China. (A) and (B) show the daily number of travelers for different age and gender groups; (C) and (D) show the respective ratios. Dashed horizontal lines denote the composition of respective groups in the latest 7th census. As children generally do not have mobile phones, the proportions of young (20-39 years), middle-aged (40-59 years), and older people (≥60 years) add up to 100%.</p>
          </caption>
          <graphic xlink:href="formative_v8i1e55013_fig1.png" alt-version="no" mimetype="image" position="float" xlink:type="simple"/>
        </fig>
      </sec>
      <sec>
        <title>Bias From Data Nonrepresentativeness</title>
        <p>Since individual mobility is the primary reason for the spatial diffusion of an epidemic, it is important to directly explore how the demographic heterogeneity of human migration behaviors impacts our ability to forecast the spatial behavior of epidemics.</p>
        <p>By fitting an age-structured transmission model [<xref ref-type="bibr" rid="ref32">32</xref>,<xref ref-type="bibr" rid="ref33">33</xref>], and including differential age composition as an input parameter, we measured the possible bias caused by the nonrepresentativeness of data on the traveling population in modeling epidemic dynamics. Feeding the composition of travelers and composition from the census data separately into the model, we found that the predicted number of infected individuals had a striking bias: the maximum number of daily infections in these 2 populations differ by nearly 3 times (521 infected individuals among a total of 1 million people for the composition of travelers and 1521 infected individuals for the census population), and their peak time had a large gap of 46 days. Although older adults are the most susceptible population, the 2 infection rates among older people collected from mobility data and census data deviate strongly (<xref rid="figure2" ref-type="fig">Figure 2</xref>). Further, while the predicted cumulative number of confirmed cases do gradually stabilize late in the epidemic, the gap between the results of the 2 models is nonnegligible (with a deviation of around 79.5%) with respect to infection volumes. Failing to include information about age and gender structure in real-world human mobility is thus likely to introduce considerable biases in epidemiological studies, especially in the early phase of an epidemic outbreak caused by imported cases [<xref ref-type="bibr" rid="ref24">24</xref>].</p>
        <fig id="figure2" position="float">
          <label>Figure 2</label>
          <caption>
            <p>Dynamics of the incidence rates among different groups predicted by the age-structured model. Solid lines indicate the incidence rates of different age groups from census data, and dashed lines indicate the incidence rates by using traveling data from mobile phones.</p>
          </caption>
          <graphic xlink:href="formative_v8i1e55013_fig2.png" alt-version="no" mimetype="image" position="float" xlink:type="simple"/>
        </fig>
      </sec>
    </sec>
    <sec sec-type="discussion">
      <title>Discussion</title>
      <p>By comparing mobility traces from mobile phone users to census data, our study has highlighted a number of striking differences in the demographic composition of those who travel with respect to the overall population. For example, we found that 59% (n=20,067,526) of travelers are young and 36% (n=12,210,565) of them are middle-aged, which is completely different from the composition of the adult population in China, where 36% of people are young and 40% of them are middle-aged. The travel probability and travel distance between men and women were also significantly different. This realization is especially important in the case of epidemic forecasting, and increased awareness of this issue in the scientific community has the potential to improve not only epidemiological models but also our overall understanding of possible biases when inferring human mobility from cell phone data and the representational issues of mobility data. It is important to emphasize that while China is an ideal place to study representativeness, our findings about which fraction of individuals compose the population of travelers are specific to China. The fraction of young, middle-aged, old, male, and female individuals who travel is likely to depend on a range of factors and can be expected to be different in different countries.</p>
      <p>Nonetheless, the realization that understanding the representativeness of mobility data is crucial for epidemic monitoring and forecasting is generalizable. Thus, our results imply that when generalizing results from population mobility analysis, these differences should be included in the analysis to avoid potential biases caused by data nonrepresentativeness. For example, in the case of the COVID-19 pandemic, as travelers often have a higher probability of infection, the transmission risk among men and youth could be a promising focus for COVID-19 prevention.</p>
      <p>In the recent Omicron waves, imported infections represented the majority of cases in China, and most COVID-19–positive individuals had a travel history to high-risk areas such as Shanghai [<xref ref-type="bibr" rid="ref34">34</xref>]. As presymptomatic and asymptomatic pathogen carriers can travel to a foreign country and initiate the spread of COVID-19 even when there is no community transmission, human migration behaviors are promising candidates to incorporate into epidemiological models. Our findings emphasize that focusing on the representativeness of mobility data is essential for more sophisticated modeling approaches to capture key mechanisms of epidemic propagation. In future work, we intend to further explore how to accurately quantify the inherent biases related to data nonrepresentativeness for accurate epidemiological surveillance and forecasting.</p>
    </sec>
  </body>
  <back>
    <app-group>
      <supplementary-material id="app1">
        <label>Multimedia Appendix 1</label>
        <p>Underrepresented data of the population flow.</p>
        <media xlink:href="formative_v8i1e55013_app1.docx" xlink:title="DOCX File , 984 KB"/>
      </supplementary-material>
    </app-group>
    <glossary>
      <title>Abbreviations</title>
      <def-list>
        <def-item>
          <term id="abb1">SEIR</term>
          <def>
            <p>Susceptible-Exposed-Infected-Recovered</p>
          </def>
        </def-item>
      </def-list>
    </glossary>
    <ack>
      <p>This work was supported by the National Natural Science Foundation of China (grants 72025405, 72088101, 72001211, and 72301285), the National Social Science Foundation of China (grants 22ZDA102), the Hunan Science and Technology Plan Project (grants 2020TP1013), the Natural Science Foundation of Hunan Province (grants 2024JJ6069 and 2023JJ40685), and the Innovation Team Project of Colleges in Guangdong Province (grants 2020KCXTD040). P.H. was supported by JSPS KAKENHI (grants JP 21H04595).</p>
    </ack>
    <notes>
      <sec>
        <title>Data Availability</title>
        <p>Deidentified data and code used in the analysis are available upon reasonable request from the corresponding author.</p>
      </sec>
    </notes>
    <fn-group>
      <fn fn-type="con">
        <p>XL designed the study. CL and XL analyzed the data. CL, PH, SL, XL, and WY contributed to the interpretation of the results and drafted the manuscript.</p>
      </fn>
      <fn fn-type="conflict">
        <p>None declared.</p>
      </fn>
    </fn-group>
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