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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Public Health</journal-id>
<journal-title>Frontiers in Public Health</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Public Health</abbrev-journal-title>
<issn pub-type="epub">2296-2565</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fpubh.2025.1643510</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Public Health</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>The double-edged sword of internet use in China&#x2019;s aging population: thresholds, mediation and digital health policy</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name><surname>Li</surname> <given-names>Yirong</given-names></name>
<uri xlink:href="https://loop.frontiersin.org/people/3123890/overview"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name><surname>Cai</surname> <given-names>Jianguang</given-names></name>
<xref ref-type="corresp" rid="c001"><sup>&#x002A;</sup></xref>
</contrib>
<contrib contrib-type="author">
<name><surname>Yu</surname> <given-names>Haiyong</given-names></name>
<uri xlink:href="https://loop.frontiersin.org/people/3123893/overview"/>
</contrib>
</contrib-group>
<aff><institution>School of Physical Education, Hunan University of Science and Technology</institution>, <addr-line>Xiangtan, Hunan</addr-line>, <country>China</country></aff>
<author-notes>
<fn fn-type="edited-by" id="fn0001">
<p>Edited by: Bojan Masanovic, University of Montenegro, Montenegro</p>
</fn>
<fn fn-type="edited-by" id="fn0002">
<p>Reviewed by: Danbo Chen, The Ohio State University, United States</p>
<p>Gesine Kuespert Hearn, Idaho State University, United States</p>
</fn>
<corresp id="c001">&#x002A;Correspondence: Jianguang Cai, <email>1252339263@qq.com</email></corresp>
</author-notes>
<pub-date pub-type="epub">
<day>16</day>
<month>07</month>
<year>2025</year>
</pub-date>
<pub-date pub-type="collection">
<year>2025</year>
</pub-date>
<volume>13</volume>
<elocation-id>1643510</elocation-id>
<history>
<date date-type="received">
<day>09</day>
<month>06</month>
<year>2025</year>
</date>
<date date-type="accepted">
<day>01</day>
<month>07</month>
<year>2025</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x00A9; 2025 Li, Cai and Yu.</copyright-statement>
<copyright-year>2025</copyright-year>
<copyright-holder>Li, Cai and Yu</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p>
</license>
</permissions>
<abstract>
<sec id="sec1">
<title>Background</title>
<p>Amid global aging and digital transformation, the dual effects of Internet use on health&#x2014;its potential benefits and risks&#x2014;remain a subject of debate. This study investigates the threshold effects of Internet use, the mediating role of physical activity, and the implications for digital health policy in China, revealing a compensation-vulnerability paradox among disadvantaged groups.</p>
</sec>
<sec id="sec2">
<title>Methods</title>
<p>The data were drawn from the 2020 China Family Panel Studies (CFPS), a nationally representative sample comprising 7,308 adults aged &#x2265;45. We conducted multivariable regression with robustness checks and bootstrap mediation analysis. Nonlinear sensitivity was tested via U-shaped relationship validation and threshold effect identification.</p>
</sec>
<sec id="sec3">
<title>Results</title>
<p>Moderate Internet use (below 4.8&#x202F;h/day) confers health benefits, but excessive use leads to adverse outcomes. Physical activity serves as a partial mediator in this relationship, exhibiting nonlinear mediation dynamics. Although the current average of 1.8&#x202F;h/day of use internet is well below the harmful threshold, structural digital exclusion creates a compensation-vulnerability paradox: older and less-educated groups derive greater marginal health benefits from moderate use but face higher risks of overuse due to limited digital literacy and physiological constraints.</p>
</sec>
<sec id="sec4">
<title>Conclusion</title>
<p>Internet use offers conditional health benefits for older adults, contingent on usage thresholds and mediated by physical activity. Policymakers must balance targeted digital inclusion with safeguards against overuse, particularly for vulnerable groups. These findings highlight the need for time-bound digital health interventions and literacy programs to address the paradox of technological compensation and vulnerability, informing digital health policy in aging societies.</p>
</sec>
</abstract>
<kwd-group>
<kwd>China&#x2019;s aging population</kwd>
<kwd>internet use</kwd>
<kwd>health</kwd>
<kwd>double-edged sword</kwd>
<kwd>physical activity</kwd>
</kwd-group>
<counts>
<fig-count count="2"/>
<table-count count="9"/>
<equation-count count="4"/>
<ref-count count="62"/>
<page-count count="12"/>
<word-count count="9064"/>
</counts>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Aging and Public Health</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec sec-type="intro" id="sec5">
<label>1</label>
<title>Introduction</title>
<p>Aging constitutes a continuous biological process characterized by progressive physiological decline (<xref ref-type="bibr" rid="ref1">1</xref>), evolving family dynamics, and shifting social roles (<xref ref-type="bibr" rid="ref2">2</xref>), exposing middle-aged and older adults to heightened risks of disability, chronic disease, loneliness, and depression. According to the communique on the Development of China&#x2019;s Aging Cause in 2022, the number of older people aged 60 and above in China has reached 280 million, accounting for 19.8% of the total population (<xref ref-type="bibr" rid="ref3">3</xref>), indicating that China has entered a deeply aging society. The degree of global aging is increasing, and health promotion must be included in any active response to the aging population.</p>
<p>The digital revolution has transformed social production and lifestyles. The rapid adoption of the Internet presents both opportunities and challenges for aging populations. In this study, Internet use is defined as using mobile devices or computers to access the Internet. Existing literature has highlighted a paradoxical relationship between Internet use and health among older adults. Many scholars argue that moderate Internet use can enhance the physical and mental health of the older adults. This is attributed to several factors, including the optimization of information dissemination (<xref ref-type="bibr" rid="ref4">4</xref>), the acquisition of social support (<xref ref-type="bibr" rid="ref5">5</xref>), the enhancement of a sense of gain (<xref ref-type="bibr" rid="ref6">6</xref>) and the improvement of the medical service system (<xref ref-type="bibr" rid="ref7">7</xref>). Conversely, some studies have shown that excessive Internet use have some negative effects on health of older adults. Addictive behaviors such as being engrossed in online social networks and short videos can reduce low-intensity physical activity time (<xref ref-type="bibr" rid="ref8">8</xref>) and increase the risk of chronic diseases (<xref ref-type="bibr" rid="ref9">9</xref>). Meanwhile, less time interacting with others in person is likely to undermine psychological well-being and social skills while increasing loneliness and depressive symptoms (<xref ref-type="bibr" rid="ref10">10</xref>).</p>
<p>However, how to distinguish between moderate and excessive Internet use remains unclear. This paradoxical relationship between Internet use and health highlights three critical research gaps that directly address China&#x2019;s aging-digital nexus. First, the duration threshold at which Internet use transitions from beneficial to detrimental remains undefined. Second, the mediating role of physical activity between Internet use and health status lacks empirical validation. Third, current policy frameworks fail to account for this nonlinearity when promoting digital inclusion for seniors. Our study leverages China Family Panel Study data to systematically examine this double-edged sword phenomenon through: (a) Identifying inflection points in Internet use duration that predict health status reversals, (b) Decipher physical activity&#x2019;s mediating role, and (c) Developing tiered digital health policy recommendations based on identified thresholds. These findings will equip policymakers to maximize the benefits of technology while mitigating risks for China&#x2019;s aging population.</p>
</sec>
<sec id="sec6">
<label>2</label>
<title>Literature review and research hypothesis</title>
<sec id="sec7">
<label>2.1</label>
<title>Internet use and health of middle-aged and older adults</title>
<p>In recent years, scholars have conducted a series of studies on the impact of Internet use on the health of middle-aged and older people, yielding contradictory conclusions that Internet use can improve or damage health.</p>
<p>One is based on the network gain effect, which advocates that the Internet use can have a positive impact on the health status of older people (<xref ref-type="bibr" rid="ref11">11</xref>, <xref ref-type="bibr" rid="ref12">12</xref>). According to the technology empowerment idea, some experts deem that the usage of the Internet offers distinct advantages in disease prevention and management. Due to its features such as low cost, high convenience, good accessibility, timely update and availability of detailed information, Internet can help older adults obtain relevant information on disease diagnosis and health promotion strategies (<xref ref-type="bibr" rid="ref13 ref14 ref15">13&#x2013;15</xref>), to realize the treatment of disease and prevention and the fitness of health in both hands. Another is based on the social network theory, some scholars believe that the Internet can break the physical limitations of time and space in traditional social modes and expand individual social networks (<xref ref-type="bibr" rid="ref16">16</xref>). As a new type of social therapy, the Internet can provide more social contact and interaction for older adults and help them realize re-socialization, thus effectively alleviating loneliness and depression (<xref ref-type="bibr" rid="ref17">17</xref>, <xref ref-type="bibr" rid="ref18">18</xref>).</p>
<p>The other viewpoint based on the negative impacts of the Internet, which holds that Internet use has no bearing on the health status of older people (<xref ref-type="bibr" rid="ref19">19</xref>) and may even harm them (<xref ref-type="bibr" rid="ref20">20</xref>). According to the presence substitution theory, some research suggest that using the Internet for social connection will reduce offline interpersonal engagement and communication while also reducing physical activity time (<xref ref-type="bibr" rid="ref21">21</xref>). Individuals with lower levels of education are more likely to use the Internet for gaming and social interaction, which makes them more prone to over-reliance on the Internet (<xref ref-type="bibr" rid="ref22">22</xref>). And the resulting Internet addiction can further reduce social participation and shrink social networks, leading to increased life stress and negative emotions (<xref ref-type="bibr" rid="ref23">23</xref>). Some scholars also deem that older adults who have little or isolated social interaction in real life are more likely to use social networking sites frequently, and superficial communication in online social communication may reduce or lose social interaction in the real sense (<xref ref-type="bibr" rid="ref24">24</xref>). There are also studies based on the social disengagement theory that older adults are physically and mentally fragile not suitable to play too many social roles and should withdraw from society at an appropriate time (<xref ref-type="bibr" rid="ref25">25</xref>). Compared with those who do not go online, older adults who go online show fewer social roles and higher levels of disengagement, thus adapting better to later life and having higher life satisfaction (<xref ref-type="bibr" rid="ref26">26</xref>).</p>
<p>The two opposing viewpoints are paradoxical in both theory and actual evidence, suggesting that the influence of Internet use on the health of middle-aged and older persons is not always favorable and may even be detrimental. Perhaps differences in the propensity to use the Internet and duration of use are major elements leading to this discrepancy (<xref ref-type="bibr" rid="ref27">27</xref>). Internet use can promote health, however, there may be a duration threshold, and when the threshold is exceeded, Internet use can be detrimental to physical and mental health. To clarify the relationship between Internet use and health as well as explain the above contradictory opinions, this paper proposes the following hypotheses:</p>
<disp-quote>
<p><italic>H</italic>1: Internet use demonstrates limited positive effects on the health status of middle-aged and older adults.</p>
</disp-quote>
<disp-quote>
<p><italic>H</italic>2: Moderate Internet use can improve health, while excessive Internet use can be detrimental to health.</p>
</disp-quote>
</sec>
<sec id="sec8">
<label>2.2</label>
<title>The mediating effect of physical activity</title>
<p>Physical activity represents one of the most potent non-pharmacological interventions for health enhancement. Extensive evidence confirms that scientifically guided, moderate physical activity effectively alleviates social isolation, enhances physiological resilience, prevents chronic diseases, and fosters holistic well-being in middle-aged and older adults (<xref ref-type="bibr" rid="ref28">28</xref>, <xref ref-type="bibr" rid="ref29">29</xref>). Nevertheless, scholarly perspectives diverge regarding the relationship between Internet use and physical activity.</p>
<p>A prevailing consensus indicates that internet adoption significantly increases physical activity frequency among aging populations. The Internet enables knowledge acquisition about physical activity science, facilitates personalized training regimens, and optimizes movement techniques&#x2014;collectively enhancing workout efficacy and adherence (<xref ref-type="bibr" rid="ref30">30</xref>, <xref ref-type="bibr" rid="ref31">31</xref>). The proliferation of digital health applications further provides scenario-specific customization, elevating motivation and extending physical activity duration through tailored interventions (<xref ref-type="bibr" rid="ref32">32</xref>, <xref ref-type="bibr" rid="ref33">33</xref>).</p>
<p>Conversely, substantial research demonstrates Internet use&#x2019;s inhibitory effects on physical activity. Based on the time displacement effect, scholars contend that since both Internet use and physical activities occur during leisure hours, excessive online engagement displaces physical activity within individuals&#x2019; finite discretionary time, leading to predictable declines in physical activity levels (<xref ref-type="bibr" rid="ref34">34</xref>). Algorithmically amplified content may also trigger behavioral addiction, disproportionately reducing movement time and precipitating cervical or lumbar pathologies and mood disturbances (<xref ref-type="bibr" rid="ref35">35</xref>).</p>
<p>While academia acknowledges Internet use&#x2019;s bidirectional influence on physical activity, mechanistic consensus remains elusive. Synthesizing evidence on the internet-activity-health nexus, this study proposes the hypothesis:</p>
<disp-quote>
<p><italic>H</italic>3: Physical activity plays a mediating role between Internet use and health status.</p>
</disp-quote>
<disp-quote>
<p><italic>H</italic>4: Internet use influences physical activity through a threshold mechanism: moderate Internet use promotes physical activity and enhances health status, whereas excessive Internet use diminishes physical activity and impairs health status.</p>
</disp-quote>
</sec>
</sec>
<sec id="sec9">
<label>3</label>
<title>Data and methods</title>
<sec id="sec10">
<label>3.1</label>
<title>Data sources</title>
<p>This study utilized 2020 survey data from the China Family Panel Studies (CFPS), a nationally representative longitudinal survey established by the Institute of Social Science Survey of Peking University. Designed to capture societal changes across economic, demographic, educational and health domains, CFPS employs a multistage probability-proportional-to-size (PPS) sampling design to ensure population representativeness. Our analytical sample restricted to middle-aged and older adults aged &#x2265;45&#x202F;years. After excluding participants under age 45 and cases with missing values on key variables, the final analytical cohort comprised 7,308 respondents.</p>
</sec>
<sec id="sec11">
<label>3.2</label>
<title>Variable measurement</title>
<p>Dependent variables included physical and mental health. Physical health was operationalized using the Activities of Daily Living (ADL) scale, assessing independence across seven domains: independently outdoors, dining, kitchen tasks, public transportation use, shopping, hygiene and laundry. Each item employed binary coding (0&#x202F;=&#x202F;unable, 1&#x202F;=&#x202F;able), yielding a summative score ranging 0&#x2013;7, where higher values indicate superior functional independence 1. Mental health was measured via the Center for Epidemiological Studies Depression Scale (CES-D), comprising six negatively phrased items (e.g., &#x201C;I feel depressed&#x201D;) and two reverse-scored positive items (e.g., &#x201C;I feel happy&#x201D;). Responses were coded on a 4-point frequency scale (0&#x202F;=&#x202F;5&#x2013;7&#x202F;days, 3 &#x2266;1&#x202F;day), with total scores spanning 0&#x2013;24; elevated scores reflect fewer depressive symptoms and enhanced psychological well-being.</p>
<p>Independent variables included Internet use (binary: 1&#x202F;=&#x202F;users, 0&#x202F;=&#x202F;non-users) and daily Internet use duration (continuous: 0&#x2013;24&#x202F;h). To test curvilinear relationships, both the linear and quadratic terms of Internet use duration were incorporated into the regression models.</p>
<p>Frequency, duration and intensity of physical activity were examined as mediating variables. The operationalization comprised: (a) Physical activity frequency: Self-reported engagement over the previous 12&#x202F;months, measured on an 8-point ordinal scale ranging from 0 (Never) to 7 (Twice daily or more). (b) Physical activity duration: Average time spent per session, quantified in minutes (range: 0&#x2013;300). (c) Physical activity intensity: Perceived exertion during activities, assessed via a 4-point scale (0&#x202F;=&#x202F;No exertion, 1&#x202F;=&#x202F;Low, 2&#x202F;=&#x202F;Moderate, 3&#x202F;=&#x202F;High).</p>
<p>To minimize potential bias from excluded variables in the statistical model, pertinent variables impacting the health were incorporated as control variables. Demographic factors encompassed gender, age and marital status; socioeconomic factors comprised educational attainment, living in urban or rural areas and financial status; while lifestyle habits involved smoking and drinking, consuming protein, fruits and vegetables and sleep duration.</p>
</sec>
<sec id="sec12">
<label>3.3</label>
<title>Modeling design</title>
<p>To elucidate the effects of Internet use on the health of middle-aged and older individuals, the following benchmark regression model has been constructed (<xref ref-type="disp-formula" rid="EQ1">Equation 1</xref>):</p>
<disp-formula id="EQ1">
<label>(1)</label>
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<mml:mspace width="0.25em"/>
<mml:msub>
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<mml:mn>1</mml:mn>
</mml:msub>
<mml:msub>
<mml:mtext mathvariant="italic">Internet</mml:mtext>
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</mml:msub>
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<mml:msub>
<mml:mtext mathvariant="italic">Time</mml:mtext>
<mml:mi>i</mml:mi>
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<mml:mi>&#x03B2;</mml:mi>
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<mml:mi mathvariant="italic">Tim</mml:mi>
<mml:msubsup>
<mml:mi>e</mml:mi>
<mml:mi>i</mml:mi>
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<mml:mi>X</mml:mi>
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</mml:msub>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>&#x03B5;</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mspace width="0.25em"/>
</mml:math>
</disp-formula>
<p>Among them, <inline-formula>
<mml:math id="M2">
<mml:msub>
<mml:mtext>health</mml:mtext>
<mml:mi mathvariant="normal">i</mml:mi>
</mml:msub>
</mml:math>
</inline-formula>is the physical and mental health, Internet<sub>i</sub> represents Internet usage, Time<sub>i</sub> is the daily Internet usage time, Time<sub>i</sub><sup>2</sup> is the quadratic term of the daily Internet usage time, X<sub>i</sub> is the control variable, <inline-formula>
<mml:math id="M3">
<mml:msub>
<mml:mi>&#x03B5;</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:math>
</inline-formula> is the random interference term, and <inline-formula>
<mml:math id="M4">
<mml:msub>
<mml:mi>&#x03B2;</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:math>
</inline-formula> denotes the estimation coefficients.</p>
<p>To verify the mediating role of physical activity between Internet use and health, this paper employs a stepwise regression model to examine the intermediary effect of physical activity. The following is the construction process of the stepwise regression model (<xref ref-type="disp-formula" rid="EQ2 EQ3 EQ4">Equations 2&#x2013;4</xref>):</p>
<disp-formula id="EQ2">
<label>(2)</label>
<mml:math id="M5">
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<mml:mtext mathvariant="italic">Health</mml:mtext>
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<mml:mtext mathvariant="italic">Internet</mml:mtext>
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<mml:mtext mathvariant="italic">Time</mml:mtext>
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<mml:mtd>
<mml:msub>
<mml:mtext mathvariant="italic">Health</mml:mtext>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:msub>
<mml:mi>&#x03B4;</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>&#x03B4;</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:msub>
<mml:mtext mathvariant="italic">Internet</mml:mtext>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>&#x03B4;</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:msub>
<mml:mtext mathvariant="italic">Time</mml:mtext>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>&#x03B4;</mml:mi>
<mml:mn>3</mml:mn>
</mml:msub>
<mml:mi mathvariant="italic">Tim</mml:mi>
<mml:msubsup>
<mml:mi>e</mml:mi>
<mml:mi>i</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
<mml:mo>+</mml:mo>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:msub>
<mml:mi>&#x03B4;</mml:mi>
<mml:mn>4</mml:mn>
</mml:msub>
<mml:msub>
<mml:mi mathvariant="italic">PA</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>&#x03B4;</mml:mi>
<mml:mn>5</mml:mn>
</mml:msub>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>&#x03BC;</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mtd>
</mml:mtr>
</mml:mtable>
</mml:math>
</disp-formula>
<p>PA<sub>i</sub> is physical activity of middle-aged and older people, <inline-formula>
<mml:math id="M8">
<mml:msub>
<mml:mi>&#x03B1;</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>,</mml:mo>
</mml:math>
</inline-formula> <inline-formula>
<mml:math id="M9">
<mml:msub>
<mml:mi>&#x03B3;</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:math>
</inline-formula> and <inline-formula>
<mml:math id="M10">
<mml:msub>
<mml:mi>&#x03B4;</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:math>
</inline-formula> are the estimation coefficients, <inline-formula>
<mml:math id="M11">
<mml:msub>
<mml:mi>&#x03B8;</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>,</mml:mo>
</mml:math>
</inline-formula> <inline-formula>
<mml:math id="M12">
<mml:msub>
<mml:mo>&#x2208;</mml:mo>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:math>
</inline-formula> and <inline-formula>
<mml:math id="M13">
<mml:msub>
<mml:mi>&#x03BC;</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:math>
</inline-formula> are the random interference terms, the rest of the settings are the same as in <xref ref-type="disp-formula" rid="EQ1">Equation 1</xref>.</p>
</sec>
<sec id="sec13">
<label>3.4</label>
<title>Methods of statistical analysis</title>
<p>Analyses were conducted using SPSS 27.0 and STATA 17.0. Initial descriptive statistics characterized sample distributions. Multiple linear regression models assessed associations between Internet use (binary status and continuous duration, including quadratic terms for nonlinearity) and health outcomes, with U-tests validating quadratic term significance. Robustness was confirmed via propensity score matching (PSM), binary logistic regression substitution and explanatory variable replacement. Mediation effects of physical activity (frequency/duration/intensity) were tested using Bootstrap-derived 95% confidence intervals (5,000 resamples) with complementary U-tests. Finally, the seemingly unrelated regression (SUR) grouped approach was used to conduct heterogeneity analysis.</p>
</sec>
</sec>
<sec sec-type="results" id="sec14">
<label>4</label>
<title>Results</title>
<sec id="sec15">
<label>4.1</label>
<title>Descriptive statistics</title>
<p>The descriptive statistics for middle-aged and older adults are presented in <xref ref-type="table" rid="tab1">Table 1</xref>. The findings are as follows: (1) Regarding Internet use, only 35.6% of the respondents are Internet users, with an average daily online duration of 1.82&#x202F;h. This indicates that a substantial proportion of older adults do not use the Internet and that the usage duration is relatively low. (2) In terms of health, Internet users have higher average scores in ADL and CES-D (6.87 and 18.73, respectively) compared to non-users (6.52 and 18.07), suggesting that Internet users tend to have better physical and mental health. (3) As for physical activity, Internet users have higher frequency, duration, and intensity of physical activity than non-users, indicating that Internet users are more actively involved in physical activity. (4) The results of the control variables show that Internet users have an average age of 55.12&#x202F;years, with 52.7% residing in urban areas and 61.8% having a high school education or above. Compared to non-users, Internet users are younger, more likely to live in urban areas, and have a higher level of education. There are no significant differences in economic status and gender distribution between the two groups.</p>
<table-wrap position="float" id="tab1">
<label>Table 1</label>
<caption>
<p>Variable assignment and descriptive statistics results (<italic>N</italic>&#x202F;=&#x202F;7,308).</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top" rowspan="2">Variables</th>
<th align="left" valign="top" rowspan="2">Description</th>
<th align="center" valign="top" colspan="2">Internet users (<italic>n</italic>&#x202F;=&#x202F;2,605,35.6%)</th>
<th align="center" valign="top" colspan="2">Non-Internet users (<italic>n</italic>&#x202F;=&#x202F;4,703,64.4%)</th>
</tr>
<tr>
<th align="center" valign="top">Number (%)</th>
<th align="center" valign="top">Mean (SD)</th>
<th align="center" valign="top">Number (%)</th>
<th align="center" valign="top">Mean (SD)</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top">ADL</td>
<td align="left" valign="middle">0&#x2013;7</td>
<td align="center" valign="middle">2,605</td>
<td align="center" valign="middle">6.87 (0.61)</td>
<td align="center" valign="middle">4,703</td>
<td align="center" valign="middle">6.52 (1.17)</td>
</tr>
<tr>
<td align="left" valign="top">CES-D</td>
<td align="left" valign="top">0&#x2013;24</td>
<td align="center" valign="top">2,605</td>
<td align="center" valign="top">18.73 (4.17)</td>
<td align="center" valign="top">4,703</td>
<td align="center" valign="top">18.07 (4.48)</td>
</tr>
<tr>
<td align="left" valign="top">Duration of Internet use</td>
<td align="left" valign="top">Hours/day</td>
<td align="center" valign="top">2,605</td>
<td align="center" valign="top">1.82 (1.886)</td>
<td align="center" valign="top">4,703</td>
<td align="center" valign="top">0</td>
</tr>
<tr>
<td align="left" valign="top">Frequency of PA</td>
<td align="left" valign="top">1&#x2013;7</td>
<td align="center" valign="top">2,605</td>
<td align="center" valign="top">1.96 (2.64)</td>
<td align="center" valign="top">4,703</td>
<td align="center" valign="top">1.25 (2.39)</td>
</tr>
<tr>
<td align="left" valign="top">Duration of PA</td>
<td align="left" valign="top">Minutes/times</td>
<td align="center" valign="top">2,605</td>
<td align="center" valign="top">21.19 (35.352)</td>
<td align="center" valign="top">4,703</td>
<td align="center" valign="top">11.60 (29.48)</td>
</tr>
<tr>
<td align="left" valign="top">Intensity of PA</td>
<td align="left" valign="top">0&#x2013;3</td>
<td align="center" valign="top">2,605</td>
<td align="center" valign="top">0.69 (1.035)</td>
<td align="center" valign="top">4,701</td>
<td align="center" valign="top">0.35 (0.789)</td>
</tr>
<tr>
<td align="left" valign="top" rowspan="2">Gender</td>
<td align="left" valign="top">Man&#x202F;=&#x202F;1</td>
<td align="center" valign="top">1,426 (54.7)</td>
<td align="center" valign="top" rowspan="2">0.55 (0.50)</td>
<td align="center" valign="top">2,293 (48.8)</td>
<td align="center" valign="top" rowspan="2">0.49 (0.50)</td>
</tr>
<tr>
<td align="left" valign="top">Woman&#x202F;=&#x202F;0</td>
<td align="center" valign="top">1,179 (45.3)</td>
<td align="center" valign="top">2,410 (51.2)</td>
</tr>
<tr>
<td align="left" valign="top" rowspan="2">Age (2020)</td>
<td align="left" valign="top">45&#x2013;59</td>
<td align="center" valign="top">2011 (77.2)</td>
<td align="center" valign="top" rowspan="2">55.12 (7.75)</td>
<td align="center" valign="top">2,143 (45.6)</td>
<td align="center" valign="top" rowspan="2">61.95 (9.45)</td>
</tr>
<tr>
<td align="left" valign="top">60 and over</td>
<td align="center" valign="top">594 (22.8)</td>
<td align="center" valign="top">2,560 (54.4)</td>
</tr>
<tr>
<td align="left" valign="top" rowspan="2">Marital status</td>
<td align="left" valign="top">married&#x202F;=&#x202F;1</td>
<td align="center" valign="top">2,382 (91.4)</td>
<td align="center" valign="top" rowspan="2">0.91 (0.28)</td>
<td align="center" valign="top">4,079 (86.7)</td>
<td align="center" valign="top" rowspan="2">0.87 (0.34)</td>
</tr>
<tr>
<td align="left" valign="top">unmarried&#x202F;=&#x202F;0</td>
<td align="center" valign="top">223 (8.6)</td>
<td align="center" valign="top">624 (13.3)</td>
</tr>
<tr>
<td align="left" valign="top" rowspan="3">Education level</td>
<td align="left" valign="top">Primary and below&#x202F;=&#x202F;1</td>
<td align="center" valign="top">995 (38.2)</td>
<td align="center" valign="top" rowspan="3">1.86 (0.78)</td>
<td align="center" valign="top">3,322 (70.6)</td>
<td align="center" valign="top" rowspan="3">1.37 (0.62)</td>
</tr>
<tr>
<td align="left" valign="middle">junior&#x202F;=&#x202F;2</td>
<td align="center" valign="middle">967 (37.1)</td>
<td align="center" valign="middle">1,035 (22.0)</td>
</tr>
<tr>
<td align="left" valign="middle">Senior and above&#x202F;=&#x202F;3</td>
<td align="center" valign="middle">643 (24.7)</td>
<td align="center" valign="middle">346 (7.4)</td>
</tr>
<tr>
<td align="left" valign="top" rowspan="2">Urban and rural residence</td>
<td align="left" valign="middle">Urban&#x202F;=&#x202F;1</td>
<td align="center" valign="middle">1,374 (52.7)</td>
<td align="center" valign="middle" rowspan="2">0.53 (0.50)</td>
<td align="center" valign="middle">1834 (39.0)</td>
<td align="center" valign="middle" rowspan="2">0.39 (0.49)</td>
</tr>
<tr>
<td align="left" valign="middle">Rural&#x202F;=&#x202F;0</td>
<td align="center" valign="middle">1,231 (47.3)</td>
<td align="center" valign="middle">2,869 (61.0)</td>
</tr>
<tr>
<td align="left" valign="top" rowspan="3">Economic income level</td>
<td align="left" valign="middle">lower&#x202F;=&#x202F;1</td>
<td align="center" valign="middle">763 (29.3)</td>
<td align="center" valign="middle" rowspan="3">1.92 (0.71)</td>
<td align="center" valign="middle">1,193 (25.4)</td>
<td align="center" valign="middle" rowspan="3">2.08 (0.76)</td>
</tr>
<tr>
<td align="left" valign="middle">Medium&#x202F;=&#x202F;2</td>
<td align="center" valign="middle">1,281 (49.2)</td>
<td align="center" valign="middle">1945 (41.4)</td>
</tr>
<tr>
<td align="left" valign="middle">high&#x202F;=&#x202F;3</td>
<td align="center" valign="middle">561 (21.5)</td>
<td align="center" valign="middle">1,565 (33.3)</td>
</tr>
<tr>
<td align="left" valign="top" rowspan="2">Smoking</td>
<td align="left" valign="middle">Yes&#x202F;=&#x202F;1</td>
<td align="center" valign="middle">824 (31.6)</td>
<td align="center" valign="middle" rowspan="2">0.32 (0.47)</td>
<td align="center" valign="middle">1,299 (27.6)</td>
<td align="center" valign="middle" rowspan="2">0.28 (0.45)</td>
</tr>
<tr>
<td align="left" valign="middle">No&#x202F;=&#x202F;0</td>
<td align="center" valign="middle">1781 (68.4)</td>
<td align="center" valign="middle">3,404 (72.4)</td>
</tr>
<tr>
<td align="left" valign="top" rowspan="2">Drink alcohol</td>
<td align="left" valign="middle">Yes&#x202F;=&#x202F;1</td>
<td align="center" valign="middle">435 (16.7)</td>
<td align="center" valign="middle" rowspan="2">0.17 (0.37)</td>
<td align="center" valign="middle">700 (14.9)</td>
<td align="center" valign="middle" rowspan="2">0.15 (0.36)</td>
</tr>
<tr>
<td align="left" valign="middle">No&#x202F;=&#x202F;0</td>
<td align="center" valign="middle">2,170 (83.3)</td>
<td align="center" valign="middle">4,003 (85.1)</td>
</tr>
<tr>
<td align="left" valign="top" rowspan="2">Protein</td>
<td align="left" valign="middle">Yes&#x202F;=&#x202F;1</td>
<td align="center" valign="middle">2,234 (85.8)</td>
<td align="center" valign="middle" rowspan="2">0.86 (0.35)</td>
<td align="center" valign="middle">3,580 (76.1)</td>
<td align="center" valign="middle" rowspan="2">0.76 (0.42)</td>
</tr>
<tr>
<td align="left" valign="middle">No&#x202F;=&#x202F;0</td>
<td align="center" valign="middle">371 (14.2)</td>
<td align="center" valign="middle">1,123 (23.9)</td>
</tr>
<tr>
<td align="left" valign="top" rowspan="2">Vegetables and fruits</td>
<td align="left" valign="middle">Yes&#x202F;=&#x202F;1</td>
<td align="center" valign="middle">2,567 (98.5)</td>
<td align="center" valign="middle" rowspan="2">0.99 (0.12)</td>
<td align="center" valign="middle">4,574 (97.3)</td>
<td align="center" valign="middle" rowspan="2">0.97 (0.16)</td>
</tr>
<tr>
<td align="left" valign="middle">No&#x202F;=&#x202F;0</td>
<td align="center" valign="middle">38 (1.5)</td>
<td align="center" valign="middle">129 (2.7)</td>
</tr>
<tr>
<td align="left" valign="top">Sleep duration</td>
<td align="left" valign="middle">Hours/day</td>
<td align="center" valign="middle">707 (27.1)</td>
<td align="center" valign="middle">7.19 (1.26)</td>
<td align="center" valign="middle">1,155 (24.6)</td>
<td align="center" valign="middle">7.39 (1.49)</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>ADL, Activities of daily living; CES-D, Center for Epidemiological Studies depression; PA, physical activity.</p>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="sec16">
<label>4.2</label>
<title>OLS regression</title>
<sec id="sec17">
<label>4.2.1</label>
<title>Baseline regression</title>
<p>Multilinearity assays were performed before OLS regression analysis and variance inflation factor VIF estimates were less than 2 for all variables across the model, indicating that there are no multicollinearity problems and regression analysis can be performed. The regression results between Internet use and health are shown in <xref ref-type="table" rid="tab2">Table 2</xref>. According to results, using the Internet can greatly enhance both mental and physical health, although the benefits are limited. Models 1 and 2 demonstrated significant positive associations between Internet use and health among middle-aged and older adults (ADL: <italic>&#x03B2;</italic> =&#x202F;0.110; <italic>p</italic> &#x003C;&#x202F;0.01 and CES: <italic>&#x03B2;</italic> =&#x202F;0.334; <italic>p</italic> &#x003C;&#x202F;0.01), confirming H1. Models 3 and 4 further investigate the association between Internet use duration and health. The findings indicate that there is an inverted U-shaped relationship between duration and health, implying that moderate Internet use can promote health up to a certain threshold. This validated H2&#x2019;s proposition of optimal usage limits.</p>
<table-wrap position="float" id="tab2">
<label>Table 2</label>
<caption>
<p>Baseline OLS regression results.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th>Variables</th>
<th align="center" valign="top">Model 1: ADL</th>
<th align="center" valign="top">Model 2: CES-D</th>
<th align="center" valign="top">Model 3: ADL</th>
<th align="center" valign="top">Model 4: CES-D</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top">Internet use</td>
<td align="center" valign="middle">0.110&#x002A;&#x002A;&#x002A;<break/>(0.021)</td>
<td align="center" valign="middle">0.344&#x002A;&#x002A;&#x002A;<break/>(0.115)</td>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="top">Time</td>
<td/>
<td/>
<td align="center" valign="middle">0.049&#x002A;&#x002A;&#x002A;<break/>(0.010)</td>
<td align="center" valign="middle">0.162&#x002A;&#x002A;&#x002A;<break/>(0.064)</td>
</tr>
<tr>
<td align="left" valign="top">Time<sup>2</sup></td>
<td/>
<td/>
<td align="center" valign="middle">&#x2212;0.004&#x002A;&#x002A;&#x002A;<break/>(0.001)</td>
<td align="center" valign="middle">&#x2212;0.017&#x002A;&#x002A;&#x002A;<break/>(0.008)</td>
</tr>
<tr>
<td align="left" valign="top">Gender</td>
<td align="center" valign="middle">&#x2212;0.002<break/>(0.032)</td>
<td align="center" valign="middle">0.772&#x002A;&#x002A;&#x002A;<break/>(0.123)</td>
<td align="center" valign="middle">&#x2212;0.002<break/>(0.032)</td>
<td align="center" valign="middle">0.772&#x002A;&#x002A;&#x002A;<break/>(0.125)</td>
</tr>
<tr>
<td align="left" valign="top">Age (2020)</td>
<td align="center" valign="middle">&#x2212;0.021&#x002A;&#x002A;&#x002A;<break/>(0.002)</td>
<td align="center" valign="middle">0.029&#x002A;&#x002A;&#x002A;<break/>(0.006)</td>
<td align="center" valign="middle">&#x2212;0.021&#x002A;&#x002A;&#x002A;<break/>(0.002)</td>
<td align="center" valign="middle">0.026&#x002A;&#x002A;&#x002A;<break/>(0.006)</td>
</tr>
<tr>
<td align="left" valign="top">Marital status</td>
<td align="center" valign="middle">0.086<break/>(0.037)</td>
<td align="center" valign="middle">1.500&#x002A;&#x002A;&#x002A;<break/>(0.170)</td>
<td align="center" valign="middle">0.086<break/>(0.047)</td>
<td align="center" valign="middle">1.500&#x002A;&#x002A;&#x002A;<break/>(0.170)</td>
</tr>
<tr>
<td align="left" valign="top">Education level</td>
<td align="center" valign="middle">0.076&#x002A;&#x002A;&#x002A;<break/>(0.011)</td>
<td align="center" valign="middle">0.392&#x002A;&#x002A;&#x002A;<break/>(0.048)</td>
<td align="center" valign="middle">0.076&#x002A;&#x002A;&#x002A;<break/>(0.011)</td>
<td align="center" valign="middle">0.400&#x002A;&#x002A;&#x002A;<break/>(0.048)</td>
</tr>
<tr>
<td align="left" valign="top">Urban and Rural residence</td>
<td align="center" valign="middle">0.096&#x002A;&#x002A;&#x002A;<break/>(0.024)</td>
<td align="center" valign="middle">0.980&#x002A;&#x002A;&#x002A;<break/>(0.102)</td>
<td align="center" valign="middle">0.095&#x002A;&#x002A;&#x002A;<break/>(0.024)</td>
<td align="center" valign="middle">0.984&#x002A;&#x002A;&#x002A;<break/>(0.102)</td>
</tr>
<tr>
<td align="left" valign="top">Economic income level</td>
<td align="center" valign="middle">0.029&#x002A;&#x002A;&#x002A;<break/>(0.012)</td>
<td align="center" valign="middle">0.519&#x002A;&#x002A;&#x002A;<break/>(0.047)</td>
<td align="center" valign="middle">0.029&#x002A;&#x002A;&#x002A;<break/>(0.012)</td>
<td align="center" valign="middle">0.517&#x002A;&#x002A;&#x002A;<break/>(0.047)</td>
</tr>
<tr>
<td align="left" valign="top">Smoking</td>
<td align="center" valign="middle">0.047<break/>(0.031)</td>
<td align="center" valign="middle">&#x2212;0.097<break/>(0.129)</td>
<td align="center" valign="middle">0.048<break/>(0.031)</td>
<td align="center" valign="middle">&#x2212;0.093<break/>(0.129)</td>
</tr>
<tr>
<td align="left" valign="top">Drink alcohol</td>
<td align="center" valign="middle">0.109&#x002A;&#x002A;&#x002A;<break/>(0.029)</td>
<td align="center" valign="middle">0.294&#x002A;&#x002A;<break/>(0.136)</td>
<td align="center" valign="middle">0.108&#x002A;&#x002A;&#x002A;<break/>(0.029)</td>
<td align="center" valign="middle">0.293&#x002A;&#x002A;<break/>(0.136)</td>
</tr>
<tr>
<td align="left" valign="top">Protein</td>
<td align="center" valign="middle">0.117&#x002A;&#x002A;&#x002A;<break/>(0.032)</td>
<td align="center" valign="middle">0.811&#x002A;&#x002A;&#x002A;<break/>(0.131)</td>
<td align="center" valign="middle">0.117&#x002A;&#x002A;&#x002A;<break/>(0.032)</td>
<td align="center" valign="middle">0.814&#x002A;&#x002A;&#x002A;<break/>(0.131)</td>
</tr>
<tr>
<td align="left" valign="top">Vegetables and fruits</td>
<td align="center" valign="middle">0.509&#x002A;&#x002A;&#x002A;<break/>(0.120)</td>
<td align="center" valign="middle">0.690&#x002A;&#x002A;<break/>(0.336)</td>
<td align="center" valign="middle">0.510&#x002A;&#x002A;&#x002A;<break/>(0.120)</td>
<td align="center" valign="middle">0.691&#x002A;&#x002A;<break/>(0.336)</td>
</tr>
<tr>
<td align="left" valign="top">Sleep duration</td>
<td align="center" valign="middle">0.018<break/>(0.027)</td>
<td align="center" valign="middle">1.191&#x002A;&#x002A;&#x002A;<break/>(0.116)</td>
<td align="center" valign="middle">0.018<break/>(0.027)</td>
<td align="center" valign="middle">1.187&#x002A;&#x002A;&#x002A;<break/>(0.116)</td>
</tr>
<tr>
<td align="left" valign="top">Constant</td>
<td align="center" valign="middle">6.730&#x002A;&#x002A;&#x002A;<break/>(0.256)</td>
<td align="center" valign="middle">2.458&#x002A;&#x002A;&#x002A;<break/>(0.982)</td>
<td align="center" valign="middle">6.793&#x002A;&#x002A;&#x002A;<break/>(0.254)</td>
<td align="center" valign="middle">2.708&#x002A;&#x002A;&#x002A;<break/>(0.972)</td>
</tr>
<tr>
<td align="left" valign="top">N</td>
<td align="center" valign="middle">7,308</td>
<td align="center" valign="middle">7,308</td>
<td align="center" valign="middle">7,308</td>
<td align="center" valign="middle">7,308</td>
</tr>
<tr>
<td align="left" valign="top">
<inline-formula>
<mml:math id="M14">
<mml:msup>
<mml:mi mathvariant="normal">R</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:math>
</inline-formula>
</td>
<td align="center" valign="middle">0.084</td>
<td align="center" valign="middle">0.101</td>
<td align="center" valign="middle">0.084</td>
<td align="center" valign="middle">0.101</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>ADL, Activities of daily living; CES-D, Center for Epidemiological Studies depression; PA, physical activity. <italic>&#x002A;p</italic>&#x202F;&#x003C;&#x202F;0.1; &#x002A;&#x002A;<italic>p</italic>&#x202F;&#x003C;&#x202F;0.05; &#x002A;&#x002A;&#x002A;<italic>p</italic>&#x202F;&#x003C;&#x202F;0.01, SE, standard error in ().</p>
</table-wrap-foot>
</table-wrap>
<p>When considering control variables, we observed significant gender differences in mental health, with males generally reporting better mental health than females. Consistent with Wurm&#x2019;s findings (<xref ref-type="bibr" rid="ref36">36</xref>), we noted that mental health tends to improve with age among older adults, even as physical health declines. Additionally, research supports the idea that having a spouse is linked to better mental health compared to being single (<xref ref-type="bibr" rid="ref37">37</xref>). Other factors such as place of residence (rural vs. urban), education level, economic income, protein intake, and fruit and vegetable consumption all significantly impacted both physical and mental health. We also found that moderate alcohol consumption can enhance physical and mental well-being, echoing Marie&#x2019;s perspective that alcohol can alleviate stress, offer enjoyment and relaxation, and yield positive short-term health benefits (<xref ref-type="bibr" rid="ref38">38</xref>). Lastly, our research aligns with other studies (<xref ref-type="bibr" rid="ref39">39</xref>, <xref ref-type="bibr" rid="ref40">40</xref>) in finding that middle-aged and older individuals who do not get enough sleep are more likely to experience depression-like symptoms.</p>
</sec>
<sec id="sec18">
<label>4.2.2</label>
<title>Inverted U relationship test</title>
<p>Haans pointed out that the existence of U-shaped relationships cannot be fully confirmed by the meaning of the quadratic term coefficients alone, so it is necessary to test U-shaped relationships (<xref ref-type="bibr" rid="ref41">41</xref>). In Models 3 and 4, the relationship between Internet use life and health was tested in U-tests (<xref ref-type="table" rid="tab3">Table 3</xref>; <xref ref-type="fig" rid="fig1">Figure 1</xref>). The extremal points for Internet surfing time in relation to ADL and CES-D are 6.791 and 4.838, respectively. The slopes for the intervals to the left of these points are greater than zero, while those to the right are less than zero. These slopes are statistically significant at the 1% level, thereby supporting H2, which posits that the impact of Internet use on the health of middle-aged and older individuals initially increases and then decreases. The degree to which Internet use affects physical and mental health varies, as do their respective thresholds.</p>
<table-wrap position="float" id="tab3">
<label>Table 3</label>
<caption>
<p>Results of U-test analyses 1.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top" rowspan="2">Variables</th>
<th align="center" valign="top" colspan="2">ADL</th>
<th align="center" valign="top" colspan="2">CES-D</th>
</tr>
<tr>
<th align="center" valign="top">Lower limits</th>
<th align="center" valign="top">Upper limits</th>
<th align="center" valign="top">Lower limits</th>
<th align="center" valign="top">Upper limits</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle">Interval</td>
<td align="center" valign="middle">0</td>
<td align="center" valign="middle">24</td>
<td align="center" valign="middle">0</td>
<td align="center" valign="middle">24</td>
</tr>
<tr>
<td align="left" valign="middle">Slope</td>
<td align="center" valign="middle">0.049</td>
<td align="center" valign="middle">&#x2212;0.0955</td>
<td align="center" valign="middle">0.163</td>
<td align="center" valign="middle">&#x2212;0.506</td>
</tr>
<tr>
<td align="left" valign="middle">T-value</td>
<td align="center" valign="middle">5.100</td>
<td align="center" valign="middle">&#x2212;3.641</td>
<td align="center" valign="middle">2.553</td>
<td align="center" valign="middle">&#x2212;1.962</td>
</tr>
<tr>
<td align="left" valign="middle"><italic>p</italic>-value</td>
<td align="center" valign="middle">0.000</td>
<td align="center" valign="middle">0.000</td>
<td align="center" valign="middle">0.001</td>
<td align="center" valign="middle">0.025</td>
</tr>
<tr>
<td align="left" valign="middle">Extreme points</td>
<td align="center" valign="middle" colspan="2">6.791</td>
<td align="center" valign="middle" colspan="2">4.838</td>
</tr>
</tbody>
</table>
</table-wrap>
<fig position="float" id="fig1">
<label>Figure 1</label>
<caption>
<p>Inverted U-shaped relationship between internet use duration and health.</p>
</caption>
<graphic xlink:href="fpubh-13-1643510-g001.tif">
<alt-text content-type="machine-generated">Line graph showing scores of ADL (blue line) and CES-D (pink line) versus duration of internet usage in hours per day. ADL peaks at 6.791, CES-D at 4.838. Both scores decrease after the peak.</alt-text>
</graphic>
</fig>
</sec>
</sec>
<sec id="sec19">
<label>4.3</label>
<title>Robustness checks</title>
<sec id="sec20">
<label>4.3.1</label>
<title>Exclude S relationships</title>
<p>To rule out the potential of an S-shaped association between the Internet use duration and health, this paper creates the cubic term (<inline-formula>
<mml:math id="M15">
<mml:msup>
<mml:mtext>time</mml:mtext>
<mml:mn>3</mml:mn>
</mml:msup>
</mml:math>
</inline-formula>) of Internet use duration and inserts it into the regression equation. The results demonstrate that the regression coefficients of the cubic term (<inline-formula>
<mml:math id="M16">
<mml:msup>
<mml:mtext>time</mml:mtext>
<mml:mn>3</mml:mn>
</mml:msup>
</mml:math>
</inline-formula>) of Internet use duration are not significant. However, the regression coefficients of the primary term (<inline-formula>
<mml:math id="M17">
<mml:mtext>time</mml:mtext>
</mml:math>
</inline-formula>) and the quadratic term (<inline-formula>
<mml:math id="M18">
<mml:msup>
<mml:mtext>time</mml:mtext>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:math>
</inline-formula>) are significant at the 1% level, which confirmed a stable inverted U-shaped association between Internet use duration and health.</p>
</sec>
<sec id="sec21">
<label>4.3.2</label>
<title>Replace the regression model</title>
<p>To further investigate the potential biases in model specification, this study employs a replacement regression approach by substituting the OLS model with a binary logistic model to assess the robustness of the findings. In this process, continuous values were transformed into binary variables. The coding guidelines for Activities of Daily Living (ADL) are as follows: zero for groups with low activity (scores 0&#x2013;4) and one for those with high activity (scores 5&#x2013;7). For the CES-D scale, groups with psychological depression are coded as zero (scores 0&#x2013;15), while those with better mental health are coded as one (scores 16&#x2013;24). <xref ref-type="table" rid="tab4">Table 4</xref> presents the results of the binary logistic regression analysis, which indicates the sustained positive impact of Internet use on health and confirms the inverted U-shaped relationship between usage duration and health. These results are consistent with the baseline regression findings and further reinforce the validity of the conclusions drawn.</p>
<table-wrap position="float" id="tab4">
<label>Table 4</label>
<caption>
<p>Binary logistic regression results.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th>Variables</th>
<th align="center" valign="top">Model 5: ADL</th>
<th align="center" valign="top">Model 6: CES-D</th>
<th align="center" valign="top">Model 7: ADL</th>
<th align="center" valign="top">Model 8: CES-D</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top">Internet use</td>
<td align="center" valign="middle">0.658&#x002A;&#x002A;&#x002A;<break/>(0.196)</td>
<td align="center" valign="middle">0.165&#x002A;&#x002A;&#x002A;<break/>(0.068)</td>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="top">Time</td>
<td/>
<td/>
<td align="center" valign="middle">0.454&#x002A;&#x002A;&#x002A;<break/>(0.136)</td>
<td align="center" valign="middle">0.100&#x002A;&#x002A;&#x002A;<break/>(0.040)</td>
</tr>
<tr>
<td align="left" valign="top">Time<sup>2</sup></td>
<td/>
<td/>
<td align="center" valign="middle">&#x2212;0.028&#x002A;&#x002A;&#x002A;<break/>(0.011)</td>
<td align="center" valign="middle">&#x2212;0.009&#x002A;&#x002A;&#x002A;<break/>(0.004)</td>
</tr>
<tr>
<td align="left" valign="middle">Controls</td>
<td align="center" valign="middle">Yes</td>
<td align="center" valign="middle">Yes</td>
<td align="center" valign="middle">Yes</td>
<td align="center" valign="middle">Yes</td>
</tr>
<tr>
<td align="left" valign="top">Constant</td>
<td align="center" valign="middle">4.887&#x002A;&#x002A;&#x002A;<break/>(1.077)</td>
<td align="center" valign="middle">&#x2212;6.013&#x002A;&#x002A;&#x002A;<break/>(0.541)</td>
<td align="center" valign="middle">4.976&#x002A;&#x002A;&#x002A;<break/>(1.076)</td>
<td align="center" valign="middle">&#x2212;5.930&#x002A;&#x002A;&#x002A;<break/>(0.537)</td>
</tr>
<tr>
<td align="left" valign="middle">N</td>
<td align="center" valign="middle">7,038</td>
<td align="center" valign="middle">7,038</td>
<td align="center" valign="middle">7,038</td>
<td align="center" valign="middle">7,038</td>
</tr>
<tr>
<td align="left" valign="middle">Pseudo <inline-formula>
<mml:math id="M19">
<mml:msup>
<mml:mi mathvariant="normal">R</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:math>
</inline-formula></td>
<td align="center" valign="middle">0.128</td>
<td align="center" valign="middle">0.062</td>
<td align="center" valign="middle">0.128</td>
<td align="center" valign="middle">0.062</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>ADL, Activities of daily living; CES-D, Center for Epidemiological Studies depression; PA, physical activity. <italic>&#x002A;p</italic>&#x202F;&#x003C;&#x202F;0.1; &#x002A;&#x002A;<italic>p</italic>&#x202F;&#x003C;&#x202F;0.05; &#x002A;&#x002A;&#x002A;<italic>p</italic>&#x202F;&#x003C;&#x202F;0.01, SE, standard error in ().</p>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="sec22">
<label>4.3.3</label>
<title>Propensity score matching</title>
<p>Consider that using the Internet is a self-chosen habit impacted by personal qualities. To address the issue of selectivity bias, this research employs the propensity score matching technique (PSM) to conduct the robustness test, which complements the benchmark regression results. The equilibrium test of the samples revealed that the samples matched by different methods were well balanced, the standard deviation of each variable after matching was less than 5% and the variables with significant differences between the experimental group and the control group before matching were not significant after matching, and the self-selection bias was effectively alleviated, and the balance test passed, which met the requirements of the propensity score matching method.</p>
<p>In this study, we employed three matching approaches&#x2014;K-nearest neighbor matching, radius matching, and kernel matching within calipers&#x2014;to validate the impact of Internet use on health. The average treatment effect on the treated (ATT) for the entire sample is presented in <xref ref-type="table" rid="tab5">Table 5</xref>. After eliminating the sample bias between the control and treatment groups, the ATT obtained is significant and relatively consistent across the different matching methods, which supports the robustness of our findings. Specifically, after accounting for potential confounding variables, the results align with those obtained in models 1 and 2, confirming that Internet use significantly promotes the physical and mental health of middle-aged and older adults.</p>
<table-wrap position="float" id="tab5">
<label>Table 5</label>
<caption>
<p>Propensity score match estimation results.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th colspan="2" rowspan="2">Estimation Methods</th>
<th align="center" valign="top" colspan="3">ADL</th>
<th align="center" valign="top" colspan="3">CES-D</th>
</tr>
<tr>
<th align="center" valign="top">ATT</th>
<th align="center" valign="top">Standard error</th>
<th align="center" valign="top">T-value</th>
<th align="center" valign="top">ATT</th>
<th align="center" valign="top">Standard error</th>
<th align="center" valign="top">T-value</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle" colspan="2">Before matching</td>
<td align="center" valign="middle">0.349</td>
<td align="center" valign="middle">0.025</td>
<td align="center" valign="middle">14.12&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="middle">0.658</td>
<td align="center" valign="middle">0.107</td>
<td align="center" valign="middle">6.16&#x002A;&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="left" valign="middle" rowspan="3">After matching</td>
<td align="left" valign="middle">K neighbor matching within calipers</td>
<td align="center" valign="middle">0.101</td>
<td align="center" valign="middle">0.029</td>
<td align="center" valign="middle">3.42&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="middle">0.303</td>
<td align="center" valign="middle">0.149</td>
<td align="center" valign="middle">2.03&#x002A;&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="left" valign="middle">Radius matching</td>
<td align="center" valign="middle">0.107</td>
<td align="center" valign="middle">0.031</td>
<td align="center" valign="middle">3.50&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="middle">0.308</td>
<td align="center" valign="middle">0.136</td>
<td align="center" valign="middle">2.25&#x002A;&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="left" valign="middle">Nuclear matching</td>
<td align="center" valign="middle">0.106</td>
<td align="center" valign="middle">0.031</td>
<td align="center" valign="middle">3.40&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="middle">0.312</td>
<td align="center" valign="middle">0.138</td>
<td align="center" valign="middle">2.26&#x002A;&#x002A;&#x002A;</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>K neighbor matching in calipers, set K&#x202F;=&#x202F;5, caliper value&#x202F;=&#x202F;0.05, core matching specified bandwidth&#x202F;=&#x202F;0.05, all others are default values. ATT, average treatment effect.</p>
</table-wrap-foot>
</table-wrap>
</sec>
</sec>
<sec id="sec23">
<label>4.4</label>
<title>Mediation effect test</title>
<sec id="sec24">
<label>4.4.1</label>
<title>Stepwise regression test</title>
<p>The study selected the frequency, duration, and intensity of physical activity as mediating variables to construct a multiple mediation model. The relevant variables were validated using stepwise linear regression and the Bootstrap mediation effect test method. As shown in <xref ref-type="table" rid="tab6">Table 6</xref>, the regression coefficients of the core explanatory variables show that with the inclusion of the three indicators of physical activity, <inline-formula>
<mml:math id="M20">
<mml:msub>
<mml:mtext>time</mml:mtext>
<mml:mi mathvariant="normal">i</mml:mi>
</mml:msub>
</mml:math>
</inline-formula> and <inline-formula>
<mml:math id="M21">
<mml:msub>
<mml:mi>PA</mml:mi>
<mml:mi mathvariant="normal">i</mml:mi>
</mml:msub>
</mml:math>
</inline-formula> are both significantly positive at the 1% level, and <inline-formula>
<mml:math id="M22">
<mml:msubsup>
<mml:mtext>time</mml:mtext>
<mml:mi mathvariant="normal">i</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:math>
</inline-formula> is significantly negative at the 1% level, except of the regression coefficients of physical activity intensity as a mediator variable in model 17, which are not significant. Thus, H3 was partially validated. The frequency and duration of physical activity significantly mediated the relationship between Internet use and both physical and mental health. Additionally, the intensity of physical activity significantly mediated the relationship between Internet use and physical health. These mediation effects are illustrated in <xref ref-type="fig" rid="fig2">Figure 2</xref>. Furthermore, an inverted U-shaped relationship was observed between Internet use duration and physical activity. Moderate Internet use can enhance the frequency, duration, and intensity of physical activity, while excessive use can have an inhibitory effect. Moreover, physical activity intensity did not mediate the relationship between Internet use and mental health, which aligns with the previous conclusion that different levels of physical activity intensity have varied effects on mental health (<xref ref-type="bibr" rid="ref42">42</xref>).</p>
<table-wrap position="float" id="tab6">
<label>Table 6</label>
<caption>
<p>Multiple mediating regression results.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th rowspan="2">Variables</th>
<th align="center" valign="top">Frequency (PA)</th>
<th align="center" valign="top">ADL</th>
<th align="center" valign="top">CES-D</th>
<th align="center" valign="top">Duration (PA)</th>
<th align="center" valign="top">ADL</th>
<th align="center" valign="top">CES-D</th>
<th align="center" valign="top">Intensity (PA)</th>
<th align="center" valign="top">ADL</th>
<th align="center" valign="top">CES-D</th>
</tr>
<tr>
<th align="center" valign="top">Model 9</th>
<th align="center" valign="top">Model 10</th>
<th align="center" valign="top">Model 11</th>
<th align="center" valign="top">Model 12</th>
<th align="center" valign="top">Model 13</th>
<th align="center" valign="top">Model 14</th>
<th align="center" valign="top">Model 15</th>
<th align="center" valign="top">Model 16</th>
<th align="center" valign="top">Model 17</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle">Time</td>
<td align="center" valign="middle">0.348&#x002A;&#x002A;&#x002A;<break/>(0.040)</td>
<td align="center" valign="middle">0.039&#x002A;&#x002A;&#x002A;<break/>(0.010)</td>
<td align="center" valign="middle">0.139&#x002A;&#x002A;&#x002A;<break/>(0.064)</td>
<td align="center" valign="middle">5.293&#x002A;&#x002A;&#x002A;<break/>(0.551)</td>
<td align="center" valign="middle">0.041&#x002A;&#x002A;&#x002A;<break/>(0.010)</td>
<td align="center" valign="middle">0.142&#x002A;&#x002A;&#x002A;<break/>(0.064)</td>
<td align="center" valign="middle">0.145&#x002A;&#x002A;&#x002A;<break/>(0.016)</td>
<td align="center" valign="middle">0.042&#x002A;&#x002A;&#x002A;<break/>(0.010)</td>
<td align="center" valign="middle">0.165&#x002A;&#x002A;<break/>(0.064)</td>
</tr>
<tr>
<td align="left" valign="middle">Time<sup>2</sup></td>
<td align="center" valign="middle">&#x2212;0.023&#x002A;&#x002A;&#x002A;<break/>(0.004)</td>
<td align="center" valign="middle">&#x2212;0.003&#x002A;&#x002A;&#x002A;<break/>(0.001)</td>
<td align="center" valign="middle">&#x2212;0.015&#x002A;&#x002A;&#x002A;<break/>(0.008)</td>
<td align="center" valign="middle">&#x2212;0.371&#x002A;&#x002A;&#x002A;<break/>(0.058)</td>
<td align="center" valign="middle">&#x2212;0.003&#x002A;&#x002A;&#x002A;<break/>(0.001)</td>
<td align="center" valign="middle">&#x2212;0.015&#x002A;&#x002A;&#x002A;<break/>(0.008)</td>
<td align="center" valign="middle">&#x2212;0.010&#x002A;&#x002A;&#x002A;<break/>(0.002)</td>
<td align="center" valign="middle">&#x2212;0.003&#x002A;&#x002A;&#x002A;<break/>(0.001)</td>
<td align="center" valign="middle">&#x2212;0.017&#x002A;&#x002A;<break/>(0.007)</td>
</tr>
<tr>
<td align="left" valign="middle">Frequency (PA)</td>
<td/>
<td align="center" valign="middle">0.028&#x002A;&#x002A;&#x002A;<break/>(0.005)</td>
<td align="center" valign="middle">0.068&#x002A;&#x002A;&#x002A;<break/>(0.021)</td>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="middle">Duration (PA)</td>
<td/>
<td/>
<td/>
<td/>
<td align="center" valign="middle">0.002&#x002A;&#x002A;&#x002A;<break/>(0.001)</td>
<td align="center" valign="middle">0.004&#x002A;&#x002A;&#x002A;<break/>(0.002)</td>
<td/>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="middle">Intensity (PA)</td>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td align="center" valign="middle">0.051&#x002A;&#x002A;&#x002A;<break/>(0.110)</td>
<td align="center" valign="middle">&#x2212;0.020<break/>(0.055)</td>
</tr>
<tr>
<td align="left" valign="middle">Controls</td>
<td align="center" valign="middle">Yes</td>
<td align="center" valign="middle">Yes</td>
<td align="center" valign="middle">Yes</td>
<td align="center" valign="middle">Yes</td>
<td align="center" valign="middle">Yes</td>
<td align="center" valign="middle">Yes</td>
<td align="center" valign="middle">Yes</td>
<td align="center" valign="middle">Yes</td>
<td align="center" valign="middle">Yes</td>
</tr>
<tr>
<td align="left" valign="middle">N</td>
<td align="center" valign="middle">7,038</td>
<td align="center" valign="middle">7,038</td>
<td align="center" valign="middle">7,038</td>
<td align="center" valign="middle">7,038</td>
<td align="center" valign="middle">7,038</td>
<td align="center" valign="middle">7,038</td>
<td align="center" valign="middle">7,038</td>
<td align="center" valign="middle">7,038</td>
<td align="center" valign="middle">7,038</td>
</tr>
<tr>
<td align="left" valign="middle">
<inline-formula>
<mml:math id="M23">
<mml:msup>
<mml:mi mathvariant="normal">R</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:math>
</inline-formula>
</td>
<td align="center" valign="middle">0.115</td>
<td align="center" valign="middle">0.088</td>
<td align="center" valign="middle">0.102</td>
<td align="center" valign="middle">0.077</td>
<td align="center" valign="middle">0.086</td>
<td align="center" valign="middle">0.102</td>
<td align="center" valign="middle">0.079</td>
<td align="center" valign="middle">0.086</td>
<td align="center" valign="middle">0.101</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>ADL, Activities of daily living; CES-D, Center for Epidemiological Studies depression; PA, physical activity. <italic>&#x002A;p</italic>&#x202F;&#x003C;&#x202F;0.1; &#x002A;&#x002A;<italic>p</italic>&#x202F;&#x003C;&#x202F;0.05; &#x002A;&#x002A;&#x002A;<italic>p</italic>&#x202F;&#x003C;&#x202F;0.01, SE, standard error in ().</p>
</table-wrap-foot>
</table-wrap>
<fig position="float" id="fig2">
<label>Figure 2</label>
<caption>
<p>Multiple mediating effects model.</p>
</caption>
<graphic xlink:href="fpubh-13-1643510-g002.tif">
<alt-text content-type="machine-generated">Diagram showing the relationships between internet usage, physical activity (frequency, duration, intensity), and health outcomes (physical and mental health). Arrows indicate the direction and strength of relationships, with various statistical values noted along each path.</alt-text>
</graphic>
</fig>
</sec>
<sec id="sec25">
<label>4.4.2</label>
<title>Bootstrap mediation effect test</title>
<p>As shown in <xref ref-type="table" rid="tab7">Table 7</xref>, bootstrap analyses (5,000 resamples) revealed significant indirect effects of physical activity in Models 18&#x2013;22 (all <italic>p</italic> &#x003C;&#x202F;0.001; 95% CIs: [0.0038&#x2013;0.2737], excluding zero), indicating that frequency and duration of physical activity partially mediated&#x200C; the associations between Internet use and both physical and mental health. It means that the frequency, duration and intensity of physical activity played partial mediation effects between Internet use and health. In contrast, Model 23 showed nonsignificant mediation for physical activity intensity (<italic>p</italic> &#x003E;&#x202F;0.1; 95% CI: [&#x2212;0.0184&#x2013;0.2921]), confirming its lack of mediating role in the Internet-mental health relationship. These findings partially support H3, highlighting domain-specific mediation pathways.</p>
<table-wrap position="float" id="tab7">
<label>Table 7</label>
<caption>
<p>Bootstrap analyses of mediating effects.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th rowspan="2">Models</th>
<th align="left" valign="top" rowspan="2">Type of effect</th>
<th align="center" valign="top" colspan="3">ADL</th>
<th rowspan="2">Models</th>
<th align="center" valign="top" colspan="3">CES-D</th>
</tr>
<tr>
<th align="center" valign="top">Effect size [95%CI]</th>
<th align="center" valign="top">(%)</th>
<th align="center" valign="top">Standard error</th>
<th align="center" valign="top">Effect size (95%CI)</th>
<th align="center" valign="top">(%)</th>
<th align="center" valign="top">Standard error</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle" rowspan="2">Model 18:<break/>Frequency</td>
<td align="left" valign="middle">Indirect</td>
<td align="center" valign="middle">0.010<sup>&#x002A;&#x002A;&#x002A;</sup>[0.0059&#x2013;0.0136]</td>
<td align="center" valign="middle">20.41</td>
<td align="center" valign="middle">0.002</td>
<td align="left" valign="middle" rowspan="2">Model 21:<break/>Frequency</td>
<td align="center" valign="middle">0.024<sup>&#x002A;&#x002A;&#x002A;</sup>[0.0085&#x2013;0.0386]</td>
<td align="center" valign="middle">14.72</td>
<td align="center" valign="middle">0.008</td>
</tr>
<tr>
<td align="left" valign="middle">direct</td>
<td align="center" valign="middle">0.039<sup>&#x002A;&#x002A;&#x002A;</sup>[0.0199&#x2013;0.0587]</td>
<td align="center" valign="middle">79.59</td>
<td align="center" valign="middle">0.010</td>
<td align="center" valign="middle">0.139<sup>&#x002A;&#x002A;&#x002A;</sup>[0.0042&#x2013;0.2737]</td>
<td align="center" valign="middle">85.28</td>
<td align="center" valign="middle">0.069</td>
</tr>
<tr>
<td align="left" valign="middle" rowspan="2">Model 19:<break/>Duration</td>
<td align="left" valign="middle">Indirect</td>
<td align="center" valign="middle">0.009<sup>&#x002A;&#x002A;&#x002A;</sup>[0.0047&#x2013;0.0128]</td>
<td align="center" valign="middle">18.36</td>
<td align="center" valign="middle">0.002</td>
<td align="left" valign="middle" rowspan="2">Model 22:<break/>Duration</td>
<td align="center" valign="middle">0.020<sup>&#x002A;&#x002A;&#x002A;</sup>[0.0042&#x2013;0.0368]</td>
<td align="center" valign="middle">12.34</td>
<td align="center" valign="middle">0.008</td>
</tr>
<tr>
<td align="left" valign="middle">direct</td>
<td align="center" valign="middle">0.040<sup>&#x002A;&#x002A;&#x002A;</sup>[0.0210&#x2013;0.0597]</td>
<td align="center" valign="middle">81.64</td>
<td align="center" valign="middle">0.010</td>
<td align="center" valign="middle">0.142<sup>&#x002A;&#x002A;&#x002A;</sup>[0.2018&#x2013;0.2638]</td>
<td align="center" valign="middle">87.66</td>
<td align="center" valign="middle">0.062</td>
</tr>
<tr>
<td align="left" valign="middle" rowspan="2">Model 20:<break/>Intensity</td>
<td align="left" valign="middle">Indirect</td>
<td align="center" valign="middle">0.008<sup>&#x002A;&#x002A;&#x002A;</sup>[0.0038&#x2013;0.0112]</td>
<td align="center" valign="middle">16.00</td>
<td align="center" valign="middle">0.002</td>
<td align="left" valign="middle" rowspan="2">Model 23:<break/>Intensity</td>
<td align="center" valign="middle">&#x2212;0.003 [&#x2212;0.0184&#x2013;0.0126]</td>
<td align="center" valign="middle">-</td>
<td align="center" valign="middle">0.008</td>
</tr>
<tr>
<td align="left" valign="middle">direct</td>
<td align="center" valign="middle">0.042<sup>&#x002A;&#x002A;&#x002A;</sup>[0.0221&#x2013;0.0610]</td>
<td align="center" valign="middle">84.00</td>
<td align="center" valign="middle">0.010</td>
<td align="center" valign="middle">0.165<sup>&#x002A;&#x002A;&#x002A;</sup>[0.0387&#x2013;0.2921]</td>
<td align="center" valign="middle">-</td>
<td align="center" valign="middle">0.065</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>CI, Confidence Interval. ADL, Activities of daily living; CES-D, Center for Epidemiological Studies depression; PA, physical activity. <italic>&#x002A;p</italic>&#x202F;&#x003C;&#x202F;0.1; &#x002A;&#x002A;<italic>p</italic>&#x202F;&#x003C;&#x202F;0.05; &#x002A;&#x002A;&#x002A;<italic>p</italic>&#x202F;&#x003C;&#x202F;0.01, SE, standard error in ().</p>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="sec26">
<label>4.4.3</label>
<title>Inverted U relationship test</title>
<p>To further investigate the inverted U-shaped relationship between Internet use and physical activity among middle-aged and older people, this paper performed a U-test on the relationship between Internet use duration and physical activity (Models 9, 12 and 15), and the results are shown in <xref ref-type="table" rid="tab8">Table 8</xref>. The results show that the turning points of the duration of Internet use and frequency, duration and intensity of physical activity are 7.141, 7.138 and 7.115, respectively. The slopes of the left side intervals are all &#x003E;0 and the slopes of the right side intervals are all &#x003C;0 and significant at the 1% level. The foregoing findings provide support for Hypothesis 4.</p>
<table-wrap position="float" id="tab8">
<label>Table 8</label>
<caption>
<p>Results of U-test analyses 2.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th rowspan="2">Variables</th>
<th align="center" valign="top" colspan="2">Frequency (PA)</th>
<th align="center" valign="top" colspan="2">Duration (PA)</th>
<th align="center" valign="top" colspan="2">Intensity (PA)</th>
</tr>
<tr>
<th align="center" valign="top">Lower bound</th>
<th align="center" valign="top">Upper bound</th>
<th align="center" valign="top">Lower bound</th>
<th align="center" valign="top">Upper bound</th>
<th align="center" valign="top">Lower bound</th>
<th align="center" valign="top">Upper bound</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle">Interval</td>
<td align="center" valign="middle">0</td>
<td align="center" valign="middle">24</td>
<td align="center" valign="middle">0</td>
<td align="center" valign="middle">24</td>
<td align="center" valign="middle">0</td>
<td align="center" valign="middle">24</td>
</tr>
<tr>
<td align="left" valign="middle">Slope</td>
<td align="center" valign="middle">0.348</td>
<td align="center" valign="middle">&#x2212;0.583</td>
<td align="center" valign="middle">5.293</td>
<td align="center" valign="middle">&#x2212;9.537</td>
<td align="center" valign="middle">0.145</td>
<td align="center" valign="middle">&#x2212;0.262</td>
</tr>
<tr>
<td align="left" valign="middle">T-value</td>
<td align="center" valign="middle">8.689</td>
<td align="center" valign="middle">&#x2212;4.057</td>
<td align="center" valign="middle">9.610</td>
<td align="center" valign="middle">&#x2212;5.074</td>
<td align="center" valign="middle">9.185</td>
<td align="center" valign="middle">&#x2212;4.589</td>
</tr>
<tr>
<td align="left" valign="middle">P&#x202F;&#x003E;&#x202F;|t|</td>
<td align="center" valign="middle">0.000</td>
<td align="center" valign="middle">0.000</td>
<td align="center" valign="middle">0.000</td>
<td align="center" valign="middle">0.000</td>
<td align="center" valign="middle">0.000</td>
<td align="center" valign="middle">0.000</td>
</tr>
<tr>
<td align="left" valign="middle">extreme point</td>
<td align="center" valign="middle" colspan="2">7.141</td>
<td align="center" valign="middle" colspan="2">7.138</td>
<td align="center" valign="middle" colspan="2">7.115</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
</sec>
<sec id="sec27">
<label>4.5</label>
<title>Heterogeneity test</title>
<p>The aforementioned findings reported the influence of Internet use on the physical and mental health of middle-aged and older adults. However, these effects may vary across different groups. To examine the heterogeneity in the influence of Internet use on health across age and education categories, this research employed the Seemingly Unrelated Regression (SUR) approach, which allows for the identification of significant differences. As shown in <xref ref-type="table" rid="tab9">Table 9</xref>, the inverse U-shaped relationship between Internet use duration and health is more pronounced among individuals over 60&#x202F;years old and those with primary school education or below. These groups exhibit greater efficacy in health enhancement but also have a lower threshold for adverse effects.</p>
<table-wrap position="float" id="tab9">
<label>Table 9</label>
<caption>
<p>Results of heterogeneity test.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th rowspan="3">Variables</th>
<th align="center" valign="top" colspan="5">ADL</th>
<th align="center" valign="top" colspan="5">CES-D</th>
</tr>
<tr>
<th align="center" valign="top" colspan="2">Model 21:age</th>
<th align="center" valign="top" colspan="3">Model 22: Education level</th>
<th align="center" valign="top" colspan="2">Model 23:age</th>
<th align="center" valign="top" colspan="3">Model 24: Education level</th>
</tr>
<tr>
<th align="center" valign="top">45&#x2013;59</th>
<th align="center" valign="top">&#x2267;60</th>
<th align="center" valign="top">Primary</th>
<th align="center" valign="top">Junior</th>
<th align="center" valign="top">Senior</th>
<th align="center" valign="top">45&#x2013;60</th>
<th align="center" valign="top">&#x2267;60</th>
<th align="center" valign="top">Primary</th>
<th align="center" valign="top">Junior</th>
<th align="center" valign="top">Senior</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top" rowspan="2">Time</td>
<td align="center" valign="middle">0.048<sup>&#x002A;&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.111<sup>&#x002A;&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.107<sup>&#x002A;&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.049<sup>&#x002A;&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.057<sup>&#x002A;&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.100<sup>&#x002A;</sup></td>
<td align="center" valign="middle">0.161<sup>&#x002A;</sup></td>
<td align="center" valign="middle">0.249<sup>&#x002A;&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.047</td>
<td align="center" valign="middle">0.057<sup>&#x002A;&#x002A;&#x002A;</sup></td>
</tr>
<tr>
<td align="center" valign="middle">(0.010)</td>
<td align="center" valign="middle">(0.029)</td>
<td align="center" valign="middle">(0.022)</td>
<td align="center" valign="middle">(0.016)</td>
<td align="center" valign="middle">(0.021)</td>
<td align="center" valign="middle">(0.059)</td>
<td align="center" valign="middle">(0.098)</td>
<td align="center" valign="middle">(0.086)</td>
<td align="center" valign="middle">(0.080)</td>
<td align="center" valign="middle">(0.021)</td>
</tr>
<tr>
<td align="left" valign="top" rowspan="2">Time<sup>2</sup></td>
<td align="center" valign="middle">&#x2212;0.003<sup>&#x002A;&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">&#x2212;0.009<sup>&#x002A;&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">&#x2212;0.009<sup>&#x002A;&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">&#x2212;0.003</td>
<td align="center" valign="middle">&#x2212;0.003<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">&#x2212;0.008</td>
<td align="center" valign="middle">&#x2212;0.017<sup>&#x002A;</sup></td>
<td align="center" valign="middle">&#x2212;0.021<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.001</td>
<td align="center" valign="middle">&#x2212;0.003<sup>&#x002A;&#x002A;</sup></td>
</tr>
<tr>
<td align="center" valign="middle">(0.000)</td>
<td align="center" valign="middle">(0.029)</td>
<td align="center" valign="middle">(0.002)</td>
<td align="center" valign="middle">(0.001)</td>
<td align="center" valign="middle">(0.002)</td>
<td align="center" valign="middle">(0.006)</td>
<td align="center" valign="middle">(0.010)</td>
<td align="center" valign="middle">(0.009)</td>
<td align="center" valign="middle">(0.008)</td>
<td align="center" valign="middle">(0.002)</td>
</tr>
<tr>
<td align="left" valign="middle">Controls</td>
<td align="center" valign="middle">Yes</td>
<td align="center" valign="middle">Yes</td>
<td align="center" valign="middle">Yes</td>
<td align="center" valign="middle">Yes</td>
<td align="center" valign="middle">Yes</td>
<td align="center" valign="middle">Yes</td>
<td align="center" valign="middle">Yes</td>
<td align="center" valign="middle">Yes</td>
<td align="center" valign="middle">Yes</td>
<td align="center" valign="middle">Yes</td>
</tr>
<tr>
<td align="left" valign="top" rowspan="2">Constant</td>
<td align="center" valign="middle">5.533<sup>&#x002A;&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">5.073<sup>&#x002A;&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">5.117<sup>&#x002A;&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">6.468<sup>&#x002A;&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">6.828<sup>&#x002A;&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">4.038<sup>&#x002A;&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">4.686<sup>&#x002A;&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">5.215<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">6.230<sup>&#x002A;&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">6.828<sup>&#x002A;&#x002A;&#x002A;</sup></td>
</tr>
<tr>
<td align="center" valign="middle">(0.252)</td>
<td align="center" valign="middle">(0.379)</td>
<td align="center" valign="middle">(0.296)</td>
<td align="center" valign="middle">(0.330)</td>
<td align="center" valign="middle">(0.449)</td>
<td align="center" valign="middle">(1.202)</td>
<td align="center" valign="middle">(1.272)</td>
<td align="center" valign="middle">(1.171)</td>
<td align="center" valign="middle">(1.541)</td>
<td align="center" valign="middle">(0.449)</td>
</tr>
<tr>
<td align="left" valign="middle">Coefficient difference</td>
<td align="center" valign="middle" colspan="2">9.47<sup>&#x002A;&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle" colspan="3">10.58<sup>&#x002A;&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle" colspan="2">0.31</td>
<td align="center" valign="middle" colspan="3">4.98<sup>&#x002A;</sup></td>
</tr>
<tr>
<td align="left" valign="middle">Extreme points</td>
<td align="center" valign="middle">7.677</td>
<td align="center" valign="middle">6.477</td>
<td align="center" valign="middle">6.167</td>
<td align="center" valign="middle">9.375</td>
<td align="center" valign="middle">8.292</td>
<td align="center" valign="middle">6.680</td>
<td align="center" valign="middle">4.806</td>
<td align="center" valign="middle">5.901</td>
<td align="center" valign="middle">7.003</td>
<td align="center" valign="middle">8.292</td>
</tr>
<tr>
<td align="left" valign="middle">N</td>
<td align="center" valign="middle">4,154</td>
<td align="center" valign="middle">3,154</td>
<td align="center" valign="middle">4,314</td>
<td align="center" valign="middle">2002</td>
<td align="center" valign="middle">992</td>
<td align="center" valign="middle">4,154</td>
<td align="center" valign="middle">3,154</td>
<td align="center" valign="middle">4,314</td>
<td align="center" valign="middle">2002</td>
<td align="center" valign="middle">992</td>
</tr>
<tr>
<td align="left" valign="middle">R<sup>2</sup></td>
<td align="center" valign="middle">0.041</td>
<td align="center" valign="middle">0.046</td>
<td align="center" valign="middle">0.064</td>
<td align="center" valign="middle">0.033</td>
<td align="center" valign="middle">0.045</td>
<td align="center" valign="middle">0.089</td>
<td align="center" valign="middle">0.113</td>
<td align="center" valign="middle">0.078</td>
<td align="center" valign="middle">0.077</td>
<td align="center" valign="middle">0.045</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>ADL, Activities of daily living; CES-D, Center for Epidemiological Studies depression; PA, physical activity. <italic>&#x002A;p</italic>&#x202F;&#x003C;&#x202F;0.1; &#x002A;&#x002A;<italic>p</italic>&#x202F;&#x003C;&#x202F;0.05; &#x002A;&#x002A;&#x002A;<italic>p</italic>&#x202F;&#x003C;&#x202F;0.01, SE, standard error in ().</p>
</table-wrap-foot>
</table-wrap>
<p>Firstly, the Coefficient of Variation between groups reveals that the values for ADL (CV<sub>age=</sub>9.47, CV<sub>edu</sub>&#x202F;=&#x202F;10.58, <italic>p</italic>&#x202F;&#x003C;&#x202F;0.001) were all more significant than those for CES-D (CV<sub>age</sub>&#x202F;=&#x202F;0.31, <italic>p</italic>&#x202F;&#x003E;&#x202F;0.1; CV<sub>edu</sub>&#x202F;=&#x202F;4.98, <italic>p</italic>&#x202F;&#x003C;&#x202F;0.1). This indicates that Internet use has a more pronounced effect on physical health, as evidenced by age and educational level differences. Secondly, the baseline regression results show that the coefficient of Internet use duration is larger and more significant for individuals over 60&#x202F;years old <inline-formula>
<mml:math id="M24">
<mml:mo stretchy="true">(</mml:mo>
<mml:msub>
<mml:mi>&#x03B2;</mml:mi>
<mml:mi>ADL</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mn>0.111</mml:mn>
<mml:mo>,</mml:mo>
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</inline-formula>) have lower extreme points compared to their younger and more educated counterparts. This illustrates that older individuals or those with lower education levels are more susceptible to digital addiction and have a lower threshold for negative health impacts.</p>
</sec>
</sec>
<sec sec-type="discussion" id="sec28">
<label>5</label>
<title>Discussion</title>
<sec id="sec29">
<label>5.1</label>
<title>Principal findings</title>
<p>Based on the nationally representative data from the 2020 China Family Panel Survey (CFPS), this study investigates the relationship between Internet use and health among middle-aged and older populations in China through OLS regression, logistic regression, U tests and propensity score matching. Although existing research has confirmed the correlation between these two factors, the internal mechanisms remain underexplored within a systematic theoretical framework. To address this gap, we transcend traditional linear assumptions by integrating Internet enrichment effects and digital harm theory to examine their nonlinear relationship. Empirical results demonstrate that the health-promoting effects of Internet usage are constrained, with positive outcomes contingent upon moderate online engagement duration. Several important conclusions can be drawn from this study.</p>
<p>First, this study confirms an inverted U-shaped relationship between Internet use and the physical and mental health of middle-aged and older groups, revealing the dual mechanism of digital empowerment and harm. Moderate Internet use can significantly improve health by facilitating the acquisition of online health information (<xref ref-type="bibr" rid="ref43">43</xref>), enhancing health behavior management (<xref ref-type="bibr" rid="ref44">44</xref>) and strengthening social interaction (<xref ref-type="bibr" rid="ref45">45</xref>). These findings support the technologically enabling pathway of the digital empower theory. However, when Internet use duration exceeds the 4.8-h threshold, it triggers the substitution effect of cognitive anxiety and sedentary behavior due to information overload (<xref ref-type="bibr" rid="ref46">46</xref>), leading to diminishing or even reversed health returns. This aligns with the threshold effect mechanism of digital hazard theory (<xref ref-type="bibr" rid="ref35">35</xref>, <xref ref-type="bibr" rid="ref47">47</xref>). Notably, mental health exhibits greater sensitivity to overuse, with earlier inflection points potentially attributable to this population&#x2019;s limited information-filtering capacity during initial stages of technological adaptation. Emotional vulnerability to false health information further exacerbates anxiety-behavioral dependency cycles (<xref ref-type="bibr" rid="ref12">12</xref>, <xref ref-type="bibr" rid="ref48">48</xref>). Currently, the average duration of daily Internet use among middle-aged and older groups is 1.8&#x202F;hours, significantly below the 4.8-h negative-effect threshold, indicating that net health benefits of Internet use remain within a positive range.</p>
<p>Second, our analysis reveals that physical activity plays a partial mediating role between the Internet and health, which is consistent with the conclusion of previous studies that physical activity as a healthy lifestyle can mediate between digital life and healthy life (<xref ref-type="bibr" rid="ref49">49</xref>), but the difference is that the pathway of physical activity is nonlinear. Moderate Internet use enhances physical activity frequency and duration among middle-aged and older adults through motor skill augmentation and socially driven physical activity motivation, thereby improving health outcomes (<xref ref-type="bibr" rid="ref42">42</xref>, <xref ref-type="bibr" rid="ref50">50</xref>). Conversely, excessive online engagement beyond 7.1&#x202F;h daily leads to screen-time encroachment, substantially suppressing physical activity and manifesting the adverse consequences of the time substitution hypothesis. It is worth noting that the mediating role of physical activity intensity on mental health remains unverified. This may relate to the physical activity preferences of older populations, who often enhance psychological well-being through socially embedded low-intensity activities such as walking and tai chi, rather than intensity-driven regimens (<xref ref-type="bibr" rid="ref51">51</xref>, <xref ref-type="bibr" rid="ref52">52</xref>).</p>
<p>Additionally, the study&#x2019;s grouped regression analysis demonstrates that the health-promoting potential of Internet use is particularly pronounced among older adults and low-education populations. However, these groups also exhibit lower negative-effect thresholds. This compensation-vulnerability paradox among disadvantaged groups can be interpreted through the interplay of resource substitution theory and digital exclusion theory. The resource substitution effect suggests that older adults and low-education individuals, constrained by limited offline health resources, increasingly rely on the Internet as compensatory health capital (<xref ref-type="bibr" rid="ref53">53</xref>), thereby gaining greater marginal health benefits (<xref ref-type="bibr" rid="ref54">54</xref>, <xref ref-type="bibr" rid="ref55">55</xref>). However, these groups simultaneously face a dual capacity deficit characterized by difficulties in accessing digital resources and digital education (<xref ref-type="bibr" rid="ref56">56</xref>) and age-related physiological functional decline (<xref ref-type="bibr" rid="ref57">57</xref>), rendering them more susceptible to overuse and entrenching a vulnerability trap. While digital technologies can act as compensatory tools to reduce health disparities in vulnerable populations, this necessitates age-appropriate design and regulated online time to mitigate risks of digital exclusion (<xref ref-type="bibr" rid="ref58">58</xref>). These findings underscore the importance of aligning technological interventions with the specific needs and capabilities of disadvantaged groups to foster equitable health outcomes.</p>
</sec>
<sec id="sec30">
<label>5.2</label>
<title>Policy recommendations</title>
<p>This paper proposes the following policy recommendations: (1) Implement tiered digital services for older adults. Implement tiered digital services for older adults. Customize service interfaces based on age and educational disparities, developing basic templates for older adult and low-education groups to simplify interaction processes, while designing advanced modes for middle and high-digital-literacy populations to precisely adapt to functional needs. (2) Establish a collaborative mechanism for intelligent supervision and literacy enhancement. Integrate user health data and behavioral profiles to create a dynamic usage threshold system, enabling real-time alerts and adaptive online time adjustments. Concurrently, prioritize critical digital literacy training focused on strengthening information discernment and time management skills, thereby mitigating overuse incentives. (3) Develop a smart fitness service ecosystem. Generate personalized low-intensity physical activity plans using physical health monitoring data, embed social incentive mechanisms to enhance physical activity adherence and cultivate proactive fitness awareness. This approach aims to integrate physical activity into the daily lives of middle-aged and older adults, fostering active aging and advancing healthy longevity. These recommendations align with the need for age-inclusive technological interventions and capacity-building strategies to balance digital empowerment with safeguards against overuse, ultimately supporting equitable health outcomes for vulnerable populations.</p>
</sec>
<sec id="sec31">
<label>5.3</label>
<title>Limitations</title>
<p>Our study based on 2020 cross-sectional data is limited in establishing causality and temporal sequences due to endogeneity issues. Prior research (<xref ref-type="bibr" rid="ref46">46</xref>, <xref ref-type="bibr" rid="ref59">59</xref>) with longitudinal panel data and fixed effects models has shown a causal link between Internet use and the health of older adults, providing empirical support for causality in our study. Second, while the study focuses on the impacts of Internet use and physical activity on the health of older adults, other factors such as intergenerational support (<xref ref-type="bibr" rid="ref60">60</xref>), access to medical resources (<xref ref-type="bibr" rid="ref61">61</xref>) and lifestyle patterns (<xref ref-type="bibr" rid="ref62">62</xref>) also significantly influence health outcomes in this population and warrant further exploration. Third, given the rapid advancement of smart technologies and the deepening digital transformation in China, the digital engagement levels of older adults post-2020 have likely increased significantly. Future investigations could leverage updated datasets to conduct more nuanced analyses as supplementary data becomes available.</p>
</sec>
</sec>
<sec sec-type="conclusions" id="sec32">
<label>6</label>
<title>Conclusion</title>
<p>This study identifies an inverted U-shaped relationship between Internet use and health among middle-aged and older adults, with a critical threshold of 4.8&#x202F;h of Internet use duration beyond which health risks emerge. This highlights the dual role of digital technology in health empowerment and harm. Physical activity mediates the relationship between Internet use and health, exhibiting nonlinear characteristics. The current average daily usage (1.8&#x202F;h) remains below the risk threshold, suggesting untapped potential for digital health interventions. However, structural digital exclusion creates a compensation-vulnerability paradox: while older adult and low-educated groups derive higher marginal health benefits from moderate use, their limited digital literacy and physiological decline increase overuse risks, exacerbating health disparities. These findings emphasize the need for balanced policies to optimize digital health benefits while safeguarding vulnerable populations.</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="sec33">
<title>Data availability statement</title>
<p>The raw data underpinning the findings of this article will be provided by the authors without any restrictions. For individuals interested in accessing the raw CFPS data, please visit the official website: <ext-link xlink:href="http://www.isss.pku.edu.cn/cfps/index.htm" ext-link-type="uri">http://www.isss.pku.edu.cn/cfps/index.htm</ext-link>.</p>
</sec>
<sec sec-type="author-contributions" id="sec34">
<title>Author contributions</title>
<p>YL: Formal analysis, Methodology, Conceptualization, Writing &#x2013; original draft, Writing &#x2013; review &#x0026; editing. JC: Writing &#x2013; review &#x0026; editing, Funding acquisition. HY: Methodology, Writing &#x2013; review &#x0026; editing.</p>
</sec>
<sec sec-type="funding-information" id="sec35">
<title>Funding</title>
<p>The author(s) declare that financial support was received for the research and/or publication of this article. This research was funded by the National Social Science Foundation of China (18BTY110).</p>
</sec>
<ack>
<p>We thank the China Family Panel Studies (CFPS), the Institute of Social Science Survey, Peking University for providing the CFPS data. We also sincerely thank the editor and autonomous reviewers for their thoughtful comments.</p>
</ack>
<sec sec-type="COI-statement" id="sec36">
<title>Conflict of interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec sec-type="ai-statement" id="sec37">
<title>Generative AI statement</title>
<p>The author(s) declare that no Gen AI was used in the creation of this manuscript.</p>
</sec>
<sec sec-type="disclaimer" id="sec38">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
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