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        <datestamp>2026-09-30T17:50:39Z</datestamp>
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        <oai_dc:dc xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance"  xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/" xmlns:dc="http://purl.org/dc/elements/1.1/" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd">
          <dc:title>&lt;p&gt;Supplementary Tables (S1-S5).&lt;/p&gt;</dc:title>
          <dc:creator>Yang Wang (5921)</dc:creator>
          <dc:creator>Liman Wang (575657)</dc:creator>
          <dc:subject>Medicine</dc:subject>
          <dc:subject>Cell Biology</dc:subject>
          <dc:subject>Genetics</dc:subject>
          <dc:subject>Biotechnology</dc:subject>
          <dc:subject>Evolutionary Biology</dc:subject>
          <dc:subject>Sociology</dc:subject>
          <dc:subject>Mathematical Sciences not elsewhere classified</dc:subject>
          <dc:subject>Cancer</dc:subject>
          <dc:subject>Infectious Diseases</dc:subject>
          <dc:subject>Virology</dc:subject>
          <dc:subject>treatment effect heterogeneity</dc:subject>
          <dc:subject>log household income</dc:subject>
          <dc:subject>wave panel data</dc:subject>
          <dc:subject>happiness item reached</dc:subject>
          <dc:subject>reach statistical significance</dc:subject>
          <dc:subject>providing limited evidence</dc:subject>
          <dc:subject>individual fixed effects</dc:subject>
          <dc:subject>community sports facilities</dc:subject>
          <dc:subject>0 &amp;# 8722</dc:subject>
          <dc:subject>binary exercise participation</dc:subject>
          <dc:subject>sports participation</dc:subject>
          <dc:subject>sports facilities</dc:subject>
          <dc:subject>rated happiness</dc:subject>
          <dc:subject>effects model</dc:subject>
          <dc:subject>baseline fixed</dc:subject>
          <dc:subject>2016 wave</dc:subject>
          <dc:subject>xlink "&gt;</dc:subject>
          <dc:subject>substitution hypothesis</dc:subject>
          <dc:subject>moderating role</dc:subject>
          <dc:subject>mediation accounted</dc:subject>
          <dc:subject>iv estimate</dc:subject>
          <dc:subject>facility types</dc:subject>
          <dc:subject>facility communities</dc:subject>
          <dc:subject>directionally consistent</dc:subject>
          <dc:subject>cfps 2014</dc:subject>
          <dc:subject>approximately 4</dc:subject>
          <dc:subject>adults ).</dc:subject>
          <dc:subject>818 individuals</dc:subject>
          <dc:subject>326 observations</dc:subject>
          <dc:subject>117 ).</dc:subject>
          <dc:subject>10 scale</dc:subject>
          <dc:subject>075 ).</dc:subject>
          <dc:subject>01 ).</dc:subject>
          <dc:description>&lt;div&gt;
&lt;p&gt;Background&lt;/p&gt;&lt;p&gt;The relationship between sports participation and psychological well-being is well-documented, yet empirical evidence regarding the moderating role of community sports facilities remains inconclusive. This study tests whether facilities amplify or attenuate the well-being returns to exercise, using four-wave panel data from China (CFPS 2014, 2018, 2020, 2022).&lt;/p&gt;
&lt;p&gt;Methods&lt;/p&gt;&lt;p&gt;Linear regression models with individual fixed effects were constructed using China Family Panel Studies data (CFPS 2014, 2018, 2020, and 2022; the 2016 wave was excluded because its happiness item reached only 2.5% of adults). The analytical sample comprised 71,326 observations from 23,818 individuals. Self-rated happiness (0−10 scale) was regressed on binary exercise participation, community sports facility count (0−5+), and their interaction, controlling for age and log household income. Robustness was tested via instrumental variable estimation (community mean exercise rate) and propensity score matching.&lt;/p&gt;
&lt;p&gt;Results&lt;/p&gt;&lt;p&gt;Exercise positively predicted happiness (β = +0.074, p &lt; 0.001) in the baseline fixed-effects model. The exercise × facility interaction was directionally consistent with the substitution hypothesis but not statistically significant (β = −0.022, p = 0.075). Marginal exercise effects declined from +0.095 in zero-facility communities (p &lt; 0.001) to non-significance where three or more facility types were available. Instrumental variable estimation results (first-stage F = 3231.25; second-stage β = −0.158, p = 0.117). The IV estimate did not reach statistical significance, providing limited evidence on treatment effect heterogeneity. Four-wave balanced panel estimates confirmed the baseline finding (β = +0.074, p &lt; 0.01). CES-D mediation accounted for only approximately 4.6% of the total effect.&lt;/p&gt;
&lt;p&gt;Conclusions&lt;/p&gt;&lt;p&gt;Exercise benefits subjective well-being most where community sports facilities are least available—a directionally consistent substitution pattern. Facility investment may yield greater marginal returns when targeted at underserved communities.&lt;/p&gt;&lt;/div&gt;</dc:description>
          <dc:date>2026-09-30T17:50:37Z</dc:date>
          <dc:type>Text</dc:type>
          <dc:type>Journal contribution</dc:type>
          <dc:identifier>10.1371/journal.pone.0359511.s001</dc:identifier>
          <dc:relation>https://figshare.com/articles/journal_contribution/_p_Supplementary_Tables_S1-S5_p_/34036358</dc:relation>
          <dc:rights>CC BY 4.0</dc:rights>
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