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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Public Health</journal-id>
<journal-title-group>
<journal-title>Frontiers in Public Health</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Public Health</abbrev-journal-title>
</journal-title-group>
<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.2026.1630531</article-id>
<article-version article-version-type="Version of Record" vocab="NISO-RP-8-2008"/>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Original Research</subject>
</subj-group>
</article-categories>
<title-group>
<article-title>Effects of meteorological variability on the burden of musculoskeletal disorders among people aged 55 and above in the United States: a secondary analysis of the Global Burden of Disease Study 2021</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name><surname>Zhou</surname> <given-names>Yingying</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Visualization" vocab-term-identifier="https://credit.niso.org/contributor-roles/visualization/">Visualization</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Formal analysis" vocab-term-identifier="https://credit.niso.org/contributor-roles/formal-analysis/">Formal analysis</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Software" vocab-term-identifier="https://credit.niso.org/contributor-roles/software/">Software</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Writing &#x2013; review &amp; editing" vocab-term-identifier="https://credit.niso.org/contributor-roles/writing-review-editing/">Writing &#x2013; review &#x00026; editing</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Investigation" vocab-term-identifier="https://credit.niso.org/contributor-roles/investigation/">Investigation</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Writing &#x2013; original draft" vocab-term-identifier="https://credit.niso.org/contributor-roles/writing-original-draft/">Writing &#x2013; original draft</role>
</contrib>
<contrib contrib-type="author">
<name><surname>Wang</surname> <given-names>Jiemin</given-names></name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Writing &#x2013; review &amp; editing" vocab-term-identifier="https://credit.niso.org/contributor-roles/writing-review-editing/">Writing &#x2013; review &#x00026; editing</role>
</contrib>
<contrib contrib-type="author">
<name><surname>Xie</surname> <given-names>Zhi</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Writing &#x2013; review &amp; editing" vocab-term-identifier="https://credit.niso.org/contributor-roles/writing-review-editing/">Writing &#x2013; review &#x00026; editing</role>
<uri xlink:href="https://loop.frontiersin.org/people/2775972"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name><surname>Zhang</surname> <given-names>Jun</given-names></name>
<xref ref-type="aff" rid="aff3"><sup>3</sup></xref>
<xref ref-type="corresp" rid="c001"><sup>&#x0002A;</sup></xref>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Conceptualization" vocab-term-identifier="https://credit.niso.org/contributor-roles/conceptualization/">Conceptualization</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Methodology" vocab-term-identifier="https://credit.niso.org/contributor-roles/methodology/">Methodology</role>
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<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Project administration" vocab-term-identifier="https://credit.niso.org/contributor-roles/project-administration/">Project administration</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Writing &#x2013; review &amp; editing" vocab-term-identifier="https://credit.niso.org/contributor-roles/writing-review-editing/">Writing &#x2013; review &#x00026; editing</role>
<uri xlink:href="https://loop.frontiersin.org/people/3070725"/>
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</contrib-group>
<aff id="aff1"><label>1</label><institution>Changsha Center for Disease Control and Prevention</institution>, <city>Changsha</city>, <country country="cn">China</country></aff>
<aff id="aff2"><label>2</label><institution>C&#x000DA;RAM, Centre for Research in Medical Devices, University of Galway</institution>, <city>Galway</city>, <country country="ie">Ireland</country></aff>
<aff id="aff3"><label>3</label><institution>Department of Orthopedics, The First Affiliated Hospital of Hunan Traditional Chinese Medical College (Hunan Provincial Directly Affiliated Hospital of Traditional Chinese Medicine)</institution>, <city>Zhuzhou</city>, <country country="cn">China</country></aff>
<author-notes>
<corresp id="c001"><label>&#x0002A;</label>Correspondence: Jun Zhang, <email xlink:href="mailto:zjdaimao@163.com">zjdaimao@163.com</email></corresp>
</author-notes>
<pub-date publication-format="electronic" date-type="pub" iso-8601-date="2026-03-17">
<day>17</day>
<month>03</month>
<year>2026</year>
</pub-date>
<pub-date publication-format="electronic" date-type="collection">
<year>2026</year>
</pub-date>
<volume>14</volume>
<elocation-id>1630531</elocation-id>
<history>
<date date-type="received">
<day>17</day>
<month>05</month>
<year>2025</year>
</date>
<date date-type="rev-recd">
<day>06</day>
<month>12</month>
<year>2025</year>
</date>
<date date-type="accepted">
<day>03</day>
<month>02</month>
<year>2026</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x000A9; 2026 Zhou, Wang, Xie and Zhang.</copyright-statement>
<copyright-year>2026</copyright-year>
<copyright-holder>Zhou, Wang, Xie and Zhang</copyright-holder>
<license>
<ali:license_ref start_date="2026-03-17">https://creativecommons.org/licenses/by/4.0/</ali:license_ref>
<license-p>This is an open-access article distributed under the terms of the <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">Creative Commons Attribution License (CC BY)</ext-link>. 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.</license-p>
</license>
</permissions>
<abstract>
<sec>
<title>Background</title>
<p>Older adults in high-income countries face an increasing burden of musculoskeletal (MSK) disorders. Although the belief that meteorological variations influence musculoskeletal conditions is widespread, scientific evidence remains inconclusive. This study aimed to explore these meteorology-health relationships.</p></sec>
<sec>
<title>Methods</title>
<p>Using publicly available data from the Global Historical Climatology Network Daily, Behavioral Risk Factor Surveillance System and the Global Burden of Disease Study 2021, we investigated associations between inter-annual meteorological factors variability (temperature, humidity, wind speed, barometric pressure) and musculoskeletal burdens, measured by disability-adjusted life years, among adults aged &#x02265;55 in the United States. Penalized Generalized Additive Models were employed to investigate the potential associations for rheumatoid arthritis, osteoarthritis, low back pain, neck pain, gout, and other musculoskeletal diseases. State-level Socio-demographic Index and behavioral indicators (obesity prevalence and smoking rate) were included as covariables, and population density and healthcare access indices were incorporated in sensitivity analyses.</p></sec>
<sec>
<title>Results</title>
<p>Musculoskeletal burdens among older U.S. adults substantially exceeded global averages (6,205.82 vs. 4,837.46 per 100,000), particularly for other musculoskeletal disorders in females and gout in males. Burdens generally increased from 2013 to 2021, except for rheumatoid arthritis and low back pain. Incorporating meteorological terms, jointly accounted for SDI, behavioral risk factors and residual temporal trends, improved model performance and revealed non-linear exposure-response patterns with potential thresholds. Inter-annual variations in temperature and humidity consistently exhibited significant associations with disease burden, while wind speed and barometric pressure also associated with burden. Sex-based heterogeneity emerged, most prominently for gout and rheumatoid arthritis.</p></sec>
<sec>
<title>Conclusions</title>
<p>Our findings highlight consistent population-level associations between inter-annual meteorological variability and MSK burdens among older U.S. adults. These associations may reflect direct environmental influences as well as broader behavioral, infrastructural, and contextual contexts, underscoring the need for context-sensitive and sex-specific public-health strategies for aging populations.</p></sec></abstract>
<kwd-group>
<kwd>behavioral risk factor surveillance system</kwd>
<kwd>disability-adjusted life years</kwd>
<kwd>Global Burden of Disease study 2021</kwd>
<kwd>global historical climatology network</kwd>
<kwd>meteorological variability effects</kwd>
<kwd>musculoskeletal disorders</kwd>
</kwd-group>
<funding-group>
<funding-statement>The author(s) declared that financial support was not received for this work and/or its publication.</funding-statement>
</funding-group>
<counts>
<fig-count count="3"/>
<table-count count="2"/>
<equation-count count="0"/>
<ref-count count="52"/>
<page-count count="18"/>
<word-count count="11367"/>
</counts>
<custom-meta-group>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Environmental Health and Exposome</meta-value>
</custom-meta>
</custom-meta-group>
</article-meta>
</front>
<body>
<sec id="s1">
<label>1</label>
<title>Background</title>
<p>Musculoskeletal (MSK) disorders are among the leading causes of morbidity and long-term disability worldwide (<xref ref-type="bibr" rid="B1">1</xref>). Common characteristics of MSK disorders involve chronic pain, reduced flexibility, impaired function, and diminished work capacity, posing a great potential to compromise quality of life and placing significant economic burdens on individuals and healthcare systems (<xref ref-type="bibr" rid="B2">2</xref>, <xref ref-type="bibr" rid="B3">3</xref>).</p>
<p>Findings from Global Burden of Diseases, Injuries, and Risk Factors Study (GBD) indicated that MSK disorders largely affect older adults, with the peak age of onset being 50 and 54 years (<xref ref-type="bibr" rid="B3">3</xref>&#x02013;<xref ref-type="bibr" rid="B5">5</xref>). Additionally, MSK disorders share several risk factors common to other non-communicable diseases, including aging, obesity, poor nutrition, and a sedentary lifestyle (<xref ref-type="bibr" rid="B2">2</xref>, <xref ref-type="bibr" rid="B6">6</xref>, <xref ref-type="bibr" rid="B7">7</xref>). The co-occurrence with serious chronic conditions can worsen health outcomes and intensify financial strains on healthcare, especially in an aging global population (<xref ref-type="bibr" rid="B6">6</xref>). As such, understanding both the individual and contextual determinants that contribute to the MSK disease burden should be a critical public health priority.</p>
<p>Globally, the prevalence and associated health burden of MSK disorders vary substantially by geographic region, and diagnostic category, with high-income countries experiencing a disproportionately greater impact (<xref ref-type="bibr" rid="B7">7</xref>&#x02013;<xref ref-type="bibr" rid="B9">9</xref>). A female-biased trend in the overall burden of MSK was also documented, suggesting that sex/gender may play a role in MSK development (<xref ref-type="bibr" rid="B1">1</xref>, <xref ref-type="bibr" rid="B3">3</xref>, <xref ref-type="bibr" rid="B4">4</xref>, <xref ref-type="bibr" rid="B9">9</xref>). For example, females experience more low back pain, whereas gout is typically seen more often in males (<xref ref-type="bibr" rid="B10">10</xref>, <xref ref-type="bibr" rid="B11">11</xref>).</p>
<p>Beyond these sociodemographic contributors, a growing body of research has highlighted potential links between meteorological factors, such as temperature, barometric pressure, humidity and precipitation, and MSK symptoms (<xref ref-type="bibr" rid="B12">12</xref>&#x02013;<xref ref-type="bibr" rid="B15">15</xref>). Notably, gout stands out for its sensitivity to environmental triggers: temperature and humidity can alter physiological regulation of serum urate levels (<xref ref-type="bibr" rid="B12">12</xref>, <xref ref-type="bibr" rid="B16">16</xref>, <xref ref-type="bibr" rid="B17">17</xref>). In other MSK conditions, shifts in weather coinciding with variations in joint pain and stiffness is supported by theories that barometric pressure could affect joint spaces, temperature might modulate inflammatory mediators, and behavioral or emotional changes linked to seasonality could exacerbate pain (<xref ref-type="bibr" rid="B16">16</xref>, <xref ref-type="bibr" rid="B18">18</xref>, <xref ref-type="bibr" rid="B19">19</xref>). Nevertheless, more recent findings question the consistency of these weather-pain links (<xref ref-type="bibr" rid="B17">17</xref>, <xref ref-type="bibr" rid="B20">20</xref>), citing limitations including restricted disease coverage, short study durations, wide geographic variability, or reliance on self-reported meteorological exposures. As a result, epidemiological evidence regarding direct meteorological influences on MSK disorders remains inconclusive. It is noteworthy that these reported associations may not necessarily reflect direct biological effects of specific atmospheric variables alone. At the population level, meteorological indicators may also function as contextual proxies for broader behavioral, environmental, and infrastructural conditions, such as seasonal changes of physical activity, indoor heating and cooling practices, air pollution, and access to healthcare (<xref ref-type="bibr" rid="B21">21</xref>&#x02013;<xref ref-type="bibr" rid="B26">26</xref>), which themselves are socially patterned and often exhibit gendered distributions.</p>
<p>In the present study, with a focus on the 55-and-older age group, we are trying to address the research gap by leveraging three high-quality, nationally representative data sources. First, GBD 2021 estimates to evaluate the MSK disorder burden across the United States. Second, inter-annual meteorological data were obtained from the Global Historical Climatology Network-Daily (GHCN-D) Version 3 to characterize annual variations of temperature, humidity, barometric pressure and wind speed. Third, state-level behavioral risk and healthcare access indicators were derived from the Behavioral Risk Factor Surveillance System (BRFSS), providing standardized estimates of obesity prevalence, smoking rate, and healthcare access patterns. The GBD data offer a comprehensive, standardized methodology for comparing disease metrics over time and across geographic regions (<xref ref-type="bibr" rid="B27">27</xref>). To facilitate systematic evaluation and comparison of the worldwide burden, GBD 2021 classified MSK disorders into six major categories: rheumatoid arthritis, osteoarthritis, low back pain, neck pain, gout, and other musculoskeletal diseases.</p>
<p>We chose to study the United States (U.S.) for several reasons. First, MSK disorders increasingly strain the country&#x00027;s healthcare system and economy, with one of the highest age-standardized prevalence rates worldwide (<xref ref-type="bibr" rid="B9">9</xref>, <xref ref-type="bibr" rid="B28">28</xref>). Second, the Global Historical Climatology Network (GHCN), which is supported by U.S. National Centers for Environmental Information, provides detailed meteorological indicators that are uniquely available for U.S. territories. Third, the broad geographic expanse of contiguous U.S. captures substantial meteorological variation while relatively narrowing confounding factors associated with economic development, demographics, and healthcare resources. We specifically limit our modeling analysis to the contiguous 48 states and the District of Columbia (hereafter referred to as the &#x0201C;49 continental states&#x0201D;), excluding Alaska, Hawaii, Fed States of Micronesia, and Puerto Rico, to further minimize the effects of extreme outlier weather conditions or socioeconomic contexts, thus allowing a more reliable assessment of potential meteorology-health associations. Moreover, we adjusted for key sociodemographic and structural factors, including the Socio-demographic Index (SDI), age-specific population estimates, and state-level behavioral indicators, to account for potential confounding and effect modification in observed associations between inter-annual meteorological variability and MSK burden.</p>
<p>To elucidate these relationships, we employ two complementary statistical approaches. First, we use Generalized Linear Models (GLMs) to identify broad associations between meteorological conditions and MSK burden. Then, we apply penalized Generalized Additive Models (GAMs) to detect non-linear patterns and complex interactions. By integrating population-level disease estimates from GBD 2021, systematically curated meteorology observations from GHCN-D, and state-level behavioral indicators from BRFSS, together with sophisticated analytic techniques, this research aims to explore how weather variability influences MSK disorders among older adults. Rather than inferring direct causality, our findings are intended to enhance understanding of population-level meteorology-MSK associations and to support context-sensitive public health planning and preventive strategies in aging societies.</p></sec>
<sec id="s2">
<label>2</label>
<title>Method</title>
<sec>
<label>2.1</label>
<title>Data sources</title>
<p>This is an ecological study based on aggregated, population-level data. The MSK burden estimates examined in this study were obtained from the Global Burden of Diseases, Injuries, and Risk Factors Study 2021 (GBD 2021), accessed via the Results Exchange Tools (<ext-link ext-link-type="uri" xlink:href="https://vizhub.healthdata.org/gbd-results/">https://vizhub.healthdata.org/gbd-results/</ext-link>). Detailed information regarding data resources, collection methods, statistical analysis, and modeling strategies implemented by GBD 2021, as well as initiatives to improve data interpretation, are described elsewhere (<xref ref-type="bibr" rid="B27">27</xref>, <xref ref-type="bibr" rid="B29">29</xref>). GBD 2021 provides annual, standardized estimates of disease burden for multiple geographic regions and countries. In the United States, these data are further disaggregated into 53 sub-national units (states). In addition, GBD 2021 supplies annually estimated Socio-demographic Index (SDI) and age-specific population data (for both males and females in all ages, and specifically those aged 55 and above) for each included location.</p>
<p>State-level data on obesity prevalence, current smoking rate, and healthcare access indicators were obtained from the Behavioral Risk Factor Surveillance System (BRFSS: <ext-link ext-link-type="uri" xlink:href="https://www.cdc.gov/brfss/brfssprevalence/index.html">https://www.cdc.gov/brfss/brfssprevalence/index.html</ext-link>) with available public estimates. For state-and-year records with missing values (New Jersey in 2019 and Florida in 2021), all variables were imputed using nearest-neighbor filling across contiguous years within each state-sex stratum.</p>
<p>The principal meteorological variables were extracted from the Global Historical Climatology Network&#x02013;Daily (GHCN-D) Version 3.31 (<ext-link ext-link-type="uri" xlink:href="https://www.ncei.noaa.gov/access/search/data-search/global-hourly">https://www.ncei.noaa.gov/access/search/data-search/global-hourly</ext-link>). GHCN-D is a comprehensive dataset maintained by the National Centers for Environmental Information (NCEI) under the National Oceanic and Atmospheric Administration (NOAA). It compiles daily weather observations from thousands of land-based stations worldwide, all subjected to rigorous quality control procedures, including checks for outliers and internal consistency, ensuring reliable, standardized data (<xref ref-type="bibr" rid="B30">30</xref>). GHCN-D has been used in many studies investigating the links between meteorological exposures and health or ecological outcomes, owing to its extensive spatial coverage, historical depth, and consistent data quality (<xref ref-type="bibr" rid="B31">31</xref>&#x02013;<xref ref-type="bibr" rid="B33">33</xref>). To derive the annual estimates of the meteorological variables of interest for each state, external multi-polygons of the United States (including 59 spatial unites) was imported from the National Weather Service (NOAA/NWS) (<ext-link ext-link-type="uri" xlink:href="https://www.weather.gov/gis/USStates">https://www.weather.gov/gis/USStates</ext-link>). These geographic boundary files enabled us to delineate state borders accurately and calculate state-level annual summaries of the daily meteorological data.</p></sec>
<sec>
<label>2.2</label>
<title>Statistical software</title>
<p>Joinpoint analysis conducted by Joinpoint Trend Analysis Software (Desktop version 5.3.0, <ext-link ext-link-type="uri" xlink:href="https://surveillance.cancer.gov/joinpoint/">https://surveillance.cancer.gov/joinpoint/</ext-link>). Other involved data analyses and visualizations were realized using R version 4.4.2. Tables and figures were formatted by Microsoft Word for MAC Version 16.94 (25020927) and Microsoft PowerPoint for Mac Version 16.95.1 (25031528). Unless otherwise specified, statistical significance was defined at the 0.05 level. We complied with the Standardized Reporting of Burden of Disease studies statement (the STROBOD statement) when presenting secondary analysis results (<xref ref-type="bibr" rid="B34">34</xref>). A corresponding checklist is provided in <xref ref-type="supplementary-material" rid="SM1">Supplementary Section 1</xref>.</p></sec>
<sec>
<label>2.3</label>
<title>Data preprocessing</title>
<sec>
<label>2.3.1</label>
<title>The burden of musculoskeletal (MSK) disorders</title>
<p>GBD studies apply a four-level hierarchical structure of cause categories, ranking from the most general to the most specific. MSK disorders are listed as a second-level cause and are subdivided at the third level into rheumatoid arthritis, osteoarthritis, low back pain, neck pain, gout, and other musculoskeletal diseases (see <xref ref-type="supplementary-material" rid="SM1">Supplementary Section 3</xref>) (<xref ref-type="bibr" rid="B35">35</xref>). We extracted three metrics (number, percent, rate) of Disability-Adjusted Life-Years (DALYs), along with 95% Uncertainty Intervals (95% UI), for the level 2 and 3 causes across two default age groups (all ages and 55 years and older). MSK burden as measured by DALYs captures the cumulative impact of recurrent symptoms, functional impairment, and healthcare use over time.</p>
<p>Focusing on 2021, we first calculated the disorder-specific percentages via the percent of each MSK subtype (the level 3 cause) diving the percent of the total MSK burden (the level 2 cause). And the rates (measured as years per 100,000 people) of DALYs attributed to total MSK disorders and its six subgroups were compared among four geographic units (Global, High-SDI, High-income North America, and the United States of America). This comparison aimed to contextualize the MSK burden in the United States relative to the global level and other developed regions. Joinpoint analysis was then performed to identify significant temporal changes in DALY rates over the study period (2013&#x02013;2021). Based on the data characteristics, we allowed up to two joinpoints to capture major trend shifts. The Average Annual Percent Change (AAPC) was subsequently mapped to succinctly convey overall trends across states, while capturing short-term fluctuations during the analyzed years (<xref ref-type="bibr" rid="B4">4</xref>).</p></sec>
<sec>
<label>2.3.2</label>
<title>The inter-annual meteorological variability</title>
<p>We obtained original meteorological data from the U.S. Historical Climatology Network (file &#x0201C;ghcnd_hcn.tar.gz&#x0201D;) for the period 1 January 1990 to 31 December 2021. Daily records underwent NOAA/NCEI Qualification Control (QC); invalid/missing daily values were removed, and annual summaries were computed from valid observations only (further details appear in <xref ref-type="supplementary-material" rid="SM1">Supplementary Section 4</xref>). To minimize the effects of extreme outlier weather conditions or socioeconomic contexts, 49 continental states (the 48 mainland states plus the District of Columbia, excluding Alaska, Hawaii, Fed States of Micronesia, Puerto Rico) were specifically incorporated into our analysis. Using the <italic>gstat, sp</italic>, and <italic>raster</italic> packages in conjunction with a U.S. multi-polygons shapefile (imported via the <italic>sf</italic> package), we applied Inverse Distance Weighting (IDW) interpolation over the continental domain to obtain continuous annual fields and derived state-level estimates by zonal averaging those fields within state polygons. Because the yearly mean temperatures and relative humidity levels were the primary meteorological variables of interest in our study, we retained only records with valid values for both variables. Consequently, the study period was shortened to 2013 to 2021 phase (detailed in <xref ref-type="supplementary-material" rid="SM1">Supplementary Section 4</xref>). There were finally six meteorological variables included in the modeling. They were specified as follows:</p>
<list list-type="bullet">
<list-item><p>TRAN_ANN: Annual maximum temperature range</p></list-item>
<list-item><p>MEAN_TAVG: Annual average daily temperature</p></list-item>
<list-item><p>RRAV_ANN: Annual maximum relative humidity range</p></list-item>
<list-item><p>MEAN_RRAV: Annual average daily relative humidity</p></list-item>
<list-item><p>MEAN_ASTP: Annual average barometric pressure</p></list-item>
<list-item><p>MEAN_AWND: Annual average wind speed</p></list-item>
</list>
<p>The six meteorological variables were constructed at the annual scale to ensure temporal alignment with yearly DALY outcomes. We included both annual mean indicators (MEAN_TAVG, MEAN_RRAV, MEAN_ASTP, MEAN_AWND) and annual variability indicators (TRAN_ANN and RRAV_ANN) to capture complementary dimensions of long-term regional meteorological exposure. Annual means reflect sustained background environmental conditions, whereas annual range metrics characterize the magnitude of intra-annual variability. Specially, annual mean wind speed (MEAN_AWND) and atmospheric pressure (MEAN_ASTP) were treated as background control indicators capturing stable geographic and infrastructural conditions at the state level, using annual averages as coarse but temporally stable summaries to adjust for broad environmental heterogeneity.</p>
<p>State-level maps were used to illustrate the spatial heterogeneity of the six annual meteorological indicators in 2021, and AAPC was calculated as a descriptive check of their long-term temporal stability (<xref ref-type="supplementary-material" rid="SM1">Supplementary Section 5</xref>).</p></sec>
<sec>
<label>2.3.3</label>
<title>Sociodemographic, behavioral factors, and healthcare access</title>
<p>Both SDI values and the population data were obtained directly from the GBD study. To calculate the age- and sex-specific population density of adults aged 55 and over at the state level, we divided the target populations in each state by its geographic area, derived from the U.S. multi-polygon shapefile using the <italic>sf</italic> package in R.</p>
<p>Seven publicly available annual estimates of and healthcare access, which are stratified by state, sex, and calendar year, were extracted for all study years form BRFSS (see <xref ref-type="supplementary-material" rid="SM1">Supplementary Section 2</xref>). Two variables were used as behavioral and metabolic confounders: obesity prevalence and smoking rate. To reduce dimensionality and potential collinearity among five healthcare access indicators, we applied principal component analysis (PCA) to the five access measures. The first two principal components were retained: PC1 explaining 48.1% and PC2 23.5% of variance.</p></sec></sec>
<sec>
<label>2.4</label>
<title>Modeling strategy</title>
<sec>
<label>2.4.1</label>
<title>Preparation</title>
<p>To provide an exploratory overview of unadjusted relationships, we firstly examined the bivariate correlations between meteorological variables and the national-level MSK disease burden rates (DALYs) over time. In addition, we evaluated the correlative relationships between the AAPCs of the meteorological variables and the AAPCs of the MSK disease burden rates. These bivariate patterns are presented for descriptive purposes only (see <xref ref-type="supplementary-material" rid="SM1">Supplementary Section 8</xref>), as they do not account for socioeconomic, behavioral, or healthcare-related confounding. All inferential interpretations are therefore based on the multivariable GAM results described below.</p>
<p>To investigate the adjusted associations between meteorological factors and MSK disease burden, we employed Generalized Linear Model (GLMs) and Generalized Additive Model (GAMs) using the state-level MSK disease burden data (DALYs) as the dependent variable for both sexes combined, as well as for males and females separately. The models were adjusted for SDI, age- and sex-specific population density, obesity prevalence, smoking rate, and healthcare-access principal components where applicable to account for socio-economic, demographic, and behavioral factors that may influence MSK disease burden. All independent variables were rescaled before entering the models, which are detailed in <xref ref-type="supplementary-material" rid="SM1">Supplementary Section 4</xref>.</p></sec>
<sec>
<label>2.4.2</label>
<title>Main model specifications</title>
<p>GLMs (via <italic>stats</italic> package) build standard linear regression framework by allowing the dependent variable to follow a range of distributions with a link function. In our study, we used a Gaussian family (normal) link function. We specified two GLMs as:</p>
<p><bold>Model A:</bold> DALYs &#x0007E; SDI</p>
<p><bold>Model B:</bold> DALYs &#x0007E; SDI &#x0002B; Meteorological factors</p>
<p>While GLMs are relatively straightforward to interpret, they impose a strictly linear relationship between predictors and the outcome, which may be too restrictive if the underlying relationships are more complex or non-linear. GAMs extend GLMs by allowing smooth, flexible functions of the predictors rather than strictly linear terms. These smooth functions can capture non-linear and more complex patterns in the data. Model C is specified as:</p>
<p><bold>Model C:</bold> DALYs &#x0007E; SDI &#x0002B; s (Meteorological factors)</p>
<p>In addition to SDI, we further incorporated state-level obesity prevalence and current smoking rate as behavioral and metabolic confounders, given their well-established roles in the etiology and progression of musculoskeletal disorders. These variables were entered as linear covariates in GAM full models (Model D). In addition, smooth terms can be included for time (years) to account for unobserved temporal trends. The full model is specified as follows:</p>
<p><bold>Model D:</bold> DALYs &#x0007E; SDI &#x0002B; Population Density &#x0002B; s (Meteorological factors) &#x0002B; s (Years) &#x0002B; Obesity Prevalence &#x0002B; Smoking Rate</p></sec>
<sec>
<label>2.4.3</label>
<title>Meteorological factors</title>
<p>We validated our models through multicollinearity assessment, alternative model specifications, and comparisons of model fit. Multicollinearity among linear parametric covariates was evaluated using Variance Inflation Factor (VIF), with a threshold of VIF &#x0003C; 5 indicating acceptable collinearity (see <xref ref-type="supplementary-material" rid="SM1">Supplementary Table 3</xref>). To further address potential multicollinearity in GAMs (fitted with the <italic>mgcv</italic> package), we utilized penalized cubic regression splines with double penalties [bs = &#x0201C;cr&#x0201D;, m = c(2, 2)], which allow both smoothness control and shrinkage of entire smooth terms. Smoothness selection was guided by restricted maximum likelihood (REML), and redundant terms were automatically penalized using the <italic>select</italic> = <italic>TRUE</italic> option (shrinking toward zero), thereby stabilizing estimates and reducing overfitting. Model fit was further checked by comparing alternative models (Model A&#x02013;D) using Explained Deviance (R<sup>2</sup>), Residual Variance (Sigma<sup>2</sup>), Maximum Likelihood (ML), and Akaike Information Criterion (AIC). Thus, the adopted framework balances flexibility in capturing genuine non-linearity with built-in penalties that shrink toward simpler forms when appropriate.</p>
<p>We reported GAM smooth-term estimates as Estimated Degrees of Freedom (Edf), Reference Degrees of Freedom (Ref.df), and <italic>p-values</italic>. A statistically significant smooth (<italic>p</italic> &#x0003C; 0.05) indicates that the predictor&#x00027;s effect deviates significantly from a flat line, although the precise shape can be more complex than a simple linear function. An Edf near 1 suggests a nearly linear relationship, whereas values exceeding 1 imply curvature. However, GAM summaries alone do not clarify how the effect changes across the predictor&#x00027;s range. Therefore, we used partial effect plots to illustrate whether relationships were monotonic, U-shaped, or exhibited thresholds. To further elucidate these patterns, we employed the <italic>gratia</italic> package to compute the first derivative of each smooth, highlighting statistically significant increases or decreases in the smooth function. A positive derivative signifies an increasing partial effect of the predictor, whereas a negative derivative reflects a decreasing effect. Where the derivative and its 95% confidence interval exclude zero, a statistically significant upward or downward trend is indicated. Points at which the derivative crosses zero typically mark local maxima or minima, providing insights into pivotal thresholds within the meteorology-disease association.</p></sec>
<sec>
<label>2.4.4</label>
<title>Sensitivity analysis</title>
<p>To evaluate the robustness of our findings to alternative specifications of socioeconomic and healthcare access adjustment, we conducted two sets of sensitivity analyses. First, SDI was replaced by the age- and sex-specific population density of individuals aged 55 years and older as an alternative proxy for demographic structure and exposure distribution:</p>
<p><bold>Sensitivity Model S1:</bold> DALYs &#x0007E; Population Density (55&#x0002B;) &#x0002B; s(Meteorological factors) &#x0002B; s(Year) &#x0002B; Obesity Prevalence &#x0002B; Smoking Rate</p>
<p>Second, to examine the influence of healthcare accessibility on the estimated meteorology-MSK associations, SDI was alternatively replaced by principal components derived from multiple BRFSS-based healthcare access indicators. The first two principal components was included as a composite healthcare accessibility index:</p>
<p><bold>Sensitivity Model S2:</bold> DALYs &#x0007E; Healthaccess_ PC1 &#x0002B; Healthaccess_ PC2 &#x0002B; s(Meteorological factors) &#x0002B; s(Year) &#x0002B; Obesity Prevalence &#x0002B; Smoking Rate</p>
<p>Consistency of the estimated meteorology-MSK associations across the primary model (Model D) and the two sensitivity models (S1 and S2) was used to assess the robustness of our findings to alternative confounding control strategies.</p>
<p>Recognizing sex differences in MSK disease burdens, we repeated the entire analytical process (Model A&#x02013;D and Sensitivity Model 1&#x02013;2) for males and females. Model specifications remained the same except that behavioral factors, population density, and healthcare access were replaced with a sex-specific measure, allowing for comparability while identifying potential sex-based differences in meteorology-disease relationships.</p></sec></sec></sec>
<sec sec-type="results" id="s3">
<label>3</label>
<title>Results</title>
<sec>
<label>3.1</label>
<title>Burden (DALYs) of MSK diseases in 2021</title>
<p>In 2021, MSK disorders accounted for 6.22 million DALYs (95% UI: 4.56 to 8.50 million) among U.S. adults aged 55 and older, with a rate of 6,205.82 per 100,000 people (95% UI: 4,553.48 to 8,477.80), significantly higher than that of the general population (3,593.56 per 100,000 people, 95% UI: 2,661.28 to 4,736.82). Women aged 55 and older experienced a higher MSK burden than age-matched men, with a total of 3.71 million DALYs (95% UI: 2.72 to 5.09 million) and a rate of 6,907.60 per 100,000 people (95% UI: 5,058.32 to 9,466.91). In comparison, men had 2.51 million DALYs (95% UI: 1.84 to 3.41 million) with a lower rate of 5,394.06 per 100,000 people (95% UI: 3,952.02 to 7,334.67). Among the six MSK subtypes, low back pain contributed the largest share of the total DALY burden (38.53%), followed by other musculoskeletal diseases (27.63%), osteoarthritis (22.75%), neck pain (5.53%), gout (2.93%), and rheumatoid arthritis (2.63%) (see <xref ref-type="supplementary-material" rid="SM1">Supplementary Figure 3</xref>). Consistently, low back pain posed the greatest burden across both sexes in the United States (Rate: 2,389.40 per 100,000 people, 95% UI: 1,710.77 to 3,107.34) (<xref ref-type="fig" rid="F1">Figure 1C</xref>), whereas rheumatoid arthritis had the lowest burden (Rate: 162.80 per 100,000 people, 95% UI: 124.63 to 205.59) (<xref ref-type="fig" rid="F1">Figure 1A</xref>).</p>
<fig position="float" id="F1">
<label>Figure 1</label>
<caption><p>The national-level disease burden of six musculoskeletal disorders (2021). The disease burden was measured by the rates (years per 100,000 people) of DALYs (Disability-Adjusted Life-Years) attributed to six musculoskeletal subgroups. 55 plus: estimates for adults aged 55 and over; all ages: estimates for the whole population. <bold>(A)</bold> rheumatoid arthritis; <bold>(B)</bold> osteoarthritis; <bold>(C)</bold> low back pain; <bold>(D)</bold> neck pain; <bold>(E)</bold> gout; <bold>(F)</bold> other musculoskeletal disorders.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpubh-14-1630531-g0001.tif">
<alt-text content-type="machine-generated">Six grouped bar charts compare rates of six musculoskeletal conditions by sex, location, and age group (fifty-five plus versus all ages). Conditions include rheumatoid arthritis, osteoarthritis, low back pain, neck pain, gout, and other musculoskeletal disorders. Each panel shows results for both sexes, females, and males, across the United States, high social development index, high-income, and global populations. Distinct colors represent each condition and age group comparison.</alt-text>
</graphic>
</fig>
<p>Compared to high-SDI and high-income regions, the United States exhibited a more pronounced male burden of gout (Rate: 284.74 per 100,000 people, 95% UI: 198.30 to 404.69) and the greatest female disparity in other musculoskeletal diseases (Rate: 2,049.22 per 100,000 people, 95% UI: 1,463.55 to 2,734.11), as shown in <xref ref-type="fig" rid="F1">Figures 1E</xref>, <xref ref-type="fig" rid="F1">F</xref>. Notably, as <xref ref-type="fig" rid="F1">Figure 1D</xref> indicates, neck pain was the only MSK subtype with a lower burden compared to high-SDI and high-income regions.</p>
<p>In the United States, age amplified MSK burdens across all conditions. According to <xref ref-type="fig" rid="F1">Figure 1B</xref>, osteoarthritis demonstrated the largest age-related disparity, with a DALY rate of 1,416.48 per 100,000 people (95% UI: 700.38 to 2,872.48) among the old adults of both sexes, compared to 514.29 per 100,000 people (95% UI: 249.29 to 1,041.24) in the general population. The state-level burden of MSK diseases was available in <xref ref-type="supplementary-material" rid="SM1">Supplementary Figure 4</xref>.</p></sec>
<sec>
<label>3.2</label>
<title>Temporal change in burden (DALYs) of MSKs</title>
<p>Joinpoint analysis indicated significant improvements in the DALY rates of osteoarthritis, neck pain, gout, and other musculoskeletal disorders for both sexes (see <xref ref-type="supplementary-material" rid="SM1">Supplementary Table 6</xref>). Males generally showed larger annual percent changes (AAPC) than females in osteoarthritis (females: 0.772%, 95%CI: 0.704 to 0.841; males: 1.462%, 95% CI: 1.024 to 1.902) and other musculoskeletal disorders (females: 0.773%, 95%CI: 0.719 to 0.827; males: 1.339%, 95% CI: 1.283 to 1.396).</p>
<p>As shown in <xref ref-type="fig" rid="F2">Figure 2B</xref>, a positive trend was consistently observed with respect to osteoarthritis. For men, the AAPC ranged from 0.697% (95% CI: 0.684 to 0.709) in Massachusetts to 2.295% (95% CI: 1.341 to 3.259) in Alabama. For women, the AAPC ranged from 0.285% (95% CI: 0.152 to 0.418) in Delaware to 1.573% (95% CI: 1.151 to 1.996) in Arkansas. A narrowly greater increase in the overall burden of gout among women (females: 0.977%, 95% CI: 0.890 to 1.065; males: 0.772%, 95%CI: 0.657 to 0.886), though Alabama reported the steepest state-specific growth for both sexes (females: 4.006%, 95% CI: 2.585 to 5.446; males: 4.122 %, 95%CI: 2.593 to 5.673) (see <xref ref-type="fig" rid="F2">Figure 2E</xref>). Regarding other musculoskeletal disorders, the highest levels were found in Texas (males: 1.826%, 95%CI: 1.724 to 1.929; females: 1.213%, 95%CI: 0.989 to 1.438) and New York (males: 1.818%, 95%CI: 1.791 to 1.845; females: 1.179%, 95%CI: 1.027 to 1.332), as shown in <xref ref-type="fig" rid="F2">Figure 2F</xref>. Meanwhile, there was an overall downward trend in rheumatoid arthritis among the whole population, excepted for females in New York (0.217%, 95% CI: 0.101 to 0.332) and males in Colorado (0.265%, 95% CI: 0.174 to 0.357) (see <xref ref-type="fig" rid="F2">Figure 2A</xref>). As for low back pain and neck pain, males experienced a larger scale of burden growth than females at the state-level, as <xref ref-type="fig" rid="F2">Figures 2C</xref>, <xref ref-type="fig" rid="F2">D</xref> illustrates.</p>
<fig position="float" id="F2">
<label>Figure 2</label>
<caption><p>The state-level temporal trend of six musculoskeletal disorders among adults aged 55 and over (from 2013 to 2021; nosig: no statistical significance at 0.05 level). The temporal trend was identified by the Average Annual Percent Change (AAPC, %) using Joinpoint analysis. There were only 49 location units mapped as Alaska, Hawaii, Fed States of Micronesia, and Puerto Rico were excluded in the final modeling analysis. <bold>(A)</bold> rheumatoid arthritis; <bold>(B)</bold> osteoarthritis; <bold>(C)</bold> low back pain; <bold>(D)</bold> neck pain; <bold>(E)</bold> gout; <bold>(F)</bold> other musculoskeletal disorders.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpubh-14-1630531-g0002.tif">
<alt-text content-type="machine-generated">Six sets of United States maps display age-adjusted annual percent change (AAPC) for various musculoskeletal disorders among adults aged fifty-five and over, with separate panels for both sexes, females, and males. Map A shows rheumatoid arthritis with more blue (decreases) among both sexes and females, and more neutral for males. Map B shows widespread red (increases) for osteoarthritis in all groups. Map C depicts low back pain, with mostly neutral or slight changes and some blue for females. Map D presents neck pain, mostly light pink to red (increases) for males, less for females. Map E visualizes gout, primarily light pink to red. Map F shows other musculoskeletal disorders, with widespread red in males and lighter increases in other panels. Colors and legends indicate ranges of annual percent change, while gray marks non-significant results.</alt-text>
</graphic>
</fig></sec>
<sec>
<label>3.3</label>
<title>The performance of model fit and parametric covariates</title>
<p>As shown in <xref ref-type="table" rid="T1">Table 1</xref>, transitioning from Model A (without meteorological covariates) to Model B and Model C (with meteorological covariates) typically led to reduced sigma<sup>2</sup> and AIC values and improved R<sup>2</sup>, most notably in rheumatoid arthritis, osteoarthritis and gout. This improvement indicates that meteorological effects contribute explanatory value beyond SDI. Notably, the fit of rheumatoid arthritis was greatly improved when including linear meteorological terms. In contrast, allowing for non-linear meteorological effects (Model C) markedly enhanced model performance over linear meteorological terms (Model B) for osteoarthritis. For gout, model fit improved in a stepwise and progressive manner from Model A to Model B and then to Model C, with modest but consistent gains in explained variance at each step. The inclusion of obesity prevalence, smoking rate, and a smooth function for year for year in Models D resulted in slight improvements in model performance for osteoarthritis, low back pain and gout, suggesting behavioral factors and unexplained temporal dynamics contribute modestly to disease burden beyond the initial covariates.</p>
<table-wrap position="float" id="T1">
<label>Table 1</label>
<caption><p>Model performance comparisons for both sexes.</p></caption>
<table frame="box" rules="all">
<thead>
<tr>
<th valign="top" align="left"><bold>Rheumatoid arthritis</bold></th>
<th valign="top" align="center"><bold><italic>R<sup>2</sup></italic></bold></th>
<th valign="top" align="center"><bold>Sigma<sup>2</sup></bold></th>
<th valign="top" align="center"><bold>ML</bold></th>
<th valign="top" align="center"><bold>AIC</bold></th>
<th valign="top" align="left"><bold>Osteoarthritis</bold></th>
<th valign="top" align="center"><bold><italic>R<sup>2</sup></italic></bold></th>
<th valign="top" align="center"><bold>Sigma<sup>2</sup></bold></th>
<th valign="top" align="center"><bold>ML</bold></th>
<th valign="top" align="center"><bold>AIC</bold></th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Model A</td>
<td valign="top" align="center">0.124</td>
<td valign="top" align="center">927.915</td>
<td valign="top" align="center">&#x02212;2,131.413</td>
<td valign="top" align="center">4,268.826</td>
<td valign="top" align="left">Model A</td>
<td valign="top" align="center">0.076</td>
<td valign="top" align="center">6,914.729</td>
<td valign="top" align="center">&#x02212;2,574.280</td>
<td valign="top" align="center">5,154.561</td>
</tr>
<tr>
<td valign="top" align="left">Model B</td>
<td valign="top" align="center">0.585</td>
<td valign="top" align="center">445.539</td>
<td valign="top" align="center">&#x02212;1,966.608</td>
<td valign="top" align="center">3,951.215</td>
<td valign="top" align="left">Model B</td>
<td valign="top" align="center">0.139</td>
<td valign="top" align="center">6,534.056</td>
<td valign="top" align="center">&#x02212;2,558.760</td>
<td valign="top" align="center">5,135.520</td>
</tr>
<tr>
<td valign="top" align="left">Model C</td>
<td valign="top" align="center">0.681</td>
<td valign="top" align="center">337.081</td>
<td valign="top" align="center">&#x02212;1,895.310</td>
<td valign="top" align="center">3,857.460</td>
<td valign="top" align="left">Model C</td>
<td valign="top" align="center">0.552</td>
<td valign="top" align="center">3,347.192</td>
<td valign="top" align="center">&#x02212;2,402.749</td>
<td valign="top" align="center">4,866.374</td>
</tr>
<tr>
<td valign="top" align="left">Model D</td>
<td valign="top" align="center">0.684</td>
<td valign="top" align="center">333.392</td>
<td valign="top" align="center">&#x02212;1,891.608</td>
<td valign="top" align="center">3,855.284</td>
<td valign="top" align="left">Model D</td>
<td valign="top" align="center">0.572</td>
<td valign="top" align="center">3,198.933</td>
<td valign="top" align="center">&#x02212;2,393.230</td>
<td valign="top" align="center">4,844.315</td>
</tr>
<tr>
<td valign="top" align="left"><bold>Low back pain</bold></td>
<td valign="top" align="center"><italic><bold>R</bold><sup>2</sup></italic></td>
<td valign="top" align="center"><bold>Sigma</bold><sup>2</sup></td>
<td valign="top" align="center"><bold>ML</bold></td>
<td valign="top" align="center"><bold>AIC</bold></td>
<td valign="top" align="left"><bold>Neck pain</bold></td>
<td valign="top" align="center"><italic><bold>R</bold><sup>2</sup></italic></td>
<td valign="top" align="center"><bold>Sigma</bold><sup>2</sup></td>
<td valign="top" align="center"><bold>ML</bold></td>
<td valign="top" align="center"><bold>AIC</bold></td>
</tr>
<tr>
<td valign="top" align="left">Model A</td>
<td valign="top" align="center">0.359</td>
<td valign="top" align="center">14,399.192</td>
<td valign="top" align="center">&#x02212;2,736.021</td>
<td valign="top" align="center">5,478.042</td>
<td valign="top" align="left">Model A</td>
<td valign="top" align="center">0.046</td>
<td valign="top" align="center">49.326</td>
<td valign="top" align="center">&#x02212;1,484.357</td>
<td valign="top" align="center">2,974.714</td>
</tr>
<tr>
<td valign="top" align="left">Model B</td>
<td valign="top" align="center">0.452</td>
<td valign="top" align="center">12,480.905</td>
<td valign="top" align="center">&#x02212;2,701.461</td>
<td valign="top" align="center">5,420.923</td>
<td valign="top" align="left">Model B</td>
<td valign="top" align="center">0.097</td>
<td valign="top" align="center">47.307</td>
<td valign="top" align="center">&#x02212;1,472.108</td>
<td valign="top" align="center">2,962.216</td>
</tr>
<tr>
<td valign="top" align="left">Model C</td>
<td valign="top" align="center">0.571</td>
<td valign="top" align="center">9,614.985</td>
<td valign="top" align="center">&#x02212;2,638.361</td>
<td valign="top" align="center">5,324.371</td>
<td valign="top" align="left">Model C</td>
<td valign="top" align="center">0.320</td>
<td valign="top" align="center">35.089</td>
<td valign="top" align="center">&#x02212;1,401.823</td>
<td valign="top" align="center">2,845.197</td>
</tr>
<tr>
<td valign="top" align="left">Model D</td>
<td valign="top" align="center">0.588</td>
<td valign="top" align="center">9,231.145</td>
<td valign="top" align="center">&#x02212;2,628.774</td>
<td valign="top" align="center">5,306.756</td>
<td valign="top" align="left">Model D</td>
<td valign="top" align="center">0.325</td>
<td valign="top" align="center">34.813</td>
<td valign="top" align="center">&#x02212;1,398.658</td>
<td valign="top" align="center">2,845.154</td>
</tr>
<tr>
<td valign="top" align="left"><bold>Gout</bold></td>
<td valign="top" align="center"><italic><bold>R</bold><sup>2</sup></italic></td>
<td valign="top" align="center"><bold>Sigma</bold><sup>2</sup></td>
<td valign="top" align="center"><bold>ML</bold></td>
<td valign="top" align="center"><bold>AIC</bold></td>
<td valign="top" align="left"><bold>Other musculoskeletal disorders</bold></td>
<td valign="top" align="center"><italic><bold>R</bold><sup>2</sup></italic></td>
<td valign="top" align="center"><bold>Sigma</bold><sup>2</sup></td>
<td valign="top" align="center"><bold>ML</bold></td>
<td valign="top" align="center"><bold>AIC</bold></td>
</tr>
<tr>
<td valign="top" align="left">Model A</td>
<td valign="top" align="center">0.053</td>
<td valign="top" align="center">641.865</td>
<td valign="top" align="center">&#x02212;2,050.145</td>
<td valign="top" align="center">4,106.290</td>
<td valign="top" align="left">Model A</td>
<td valign="top" align="center">0.080</td>
<td valign="top" align="center">25,510.817</td>
<td valign="top" align="center">&#x02212;2,862.132</td>
<td valign="top" align="center">5,730.264</td>
</tr>
<tr>
<td valign="top" align="left">Model B</td>
<td valign="top" align="center">0.259</td>
<td valign="top" align="center">508.912</td>
<td valign="top" align="center">&#x02212;1,995.932</td>
<td valign="top" align="center">4,009.863</td>
<td valign="top" align="left">Model B</td>
<td valign="top" align="center">0.151</td>
<td valign="top" align="center">23,881.107</td>
<td valign="top" align="center">&#x02212;2,844.541</td>
<td valign="top" align="center">5,707.082</td>
</tr>
<tr>
<td valign="top" align="left">Model C</td>
<td valign="top" align="center">0.483</td>
<td valign="top" align="center">349.709</td>
<td valign="top" align="center">&#x02212;1,907.164</td>
<td valign="top" align="center">3,864.142</td>
<td valign="top" align="left">Model C</td>
<td valign="top" align="center">0.326</td>
<td valign="top" align="center">18,659.129</td>
<td valign="top" align="center">&#x02212;2,785.255</td>
<td valign="top" align="center">5,615.004</td>
</tr>
<tr>
<td valign="top" align="left">Model D</td>
<td valign="top" align="center">0.516</td>
<td valign="top" align="center">327.447</td>
<td valign="top" align="center">&#x02212;1,889.572</td>
<td valign="top" align="center">3,842.931</td>
<td valign="top" align="left">Model D</td>
<td valign="top" align="center">0.324</td>
<td valign="top" align="center">18,721.970</td>
<td valign="top" align="center">&#x02212;2,785.022</td>
<td valign="top" align="center">5,618.517</td>
</tr></tbody>
</table>
<table-wrap-foot>
<p><bold>Model A:</bold> DALYs &#x0007E; SDI.</p>
<p><bold>Model B:</bold> DALYs &#x0007E; SDI &#x0002B; Meteorological factors.</p>
<p><bold>Model C:</bold> DALYs &#x0007E; SDI &#x0002B; s (Meteorological factors).</p>
<p><bold>Model D:</bold> DALYs &#x0007E; SDI &#x0002B; s (Meteorological factors) &#x0002B; s (Years) &#x0002B; Obesity Prevalence &#x0002B; Current Smoking Rate.</p>
<p><bold>R</bold><sup>2</sup><bold>:</bold> Explained Deviance; higher values indicate better model performance.</p>
<p><bold>Sigma</bold><sup>2</sup><bold>:</bold> Residual Variance; lower values reflect tighter fit to observed data.</p>
<p><bold>ML:</bold> Maximum Likelihood; fewer negative values indicate improved fit.</p>
<p><bold>AIC:</bold> Akaike Information Criterion; lower values indicate an optimal balance between model complexity and fit.</p>
</table-wrap-foot>
</table-wrap>
<p>Similar patterns were observed in the sex-stratified analyses (see <xref ref-type="supplementary-material" rid="SM1">Supplementary Tables 7</xref>, <xref ref-type="supplementary-material" rid="SM1">8</xref>), although notable sex-based differences emerged in baseline Model A (SDI only). Specifically, SDI predicted distinctly better for low back pain and gout among females. Additionally, the inclusion of meteorological variables (from Model A to Model B) resulted in a substantially greater improvement in model fit for rheumatoid arthritis among females, underscoring sex-specific differences in meteorology-disease association. Overall, Model D retained as the primary analytic model, as it jointly accounted for inter-annual meteorological variability, behavioral risk factors, and residual temporal trends, thereby providing the most comprehensive and biologically plausible representation of MSK burden patterns across outcomes and sexes. Although Model C yielded comparable performance for other musculoskeletal disorders, Model D offered superior covariate adjustment and interpretability across most outcomes.</p>
<p>As presented in <xref ref-type="table" rid="T2">Table 2A</xref>, the associations between SDI and the burden estimates (both sexes combined) remained consistently significant for rheumatoid arthritis, osteoarthritis, low back pain and neck pain when progressing from Model B (linear meteorological terms) to Model D (smooth terms for meteorological and temporal variables with covariate adjustment), though the significance shifted for osteoarthritis among males (<xref ref-type="supplementary-material" rid="SM1">Supplementary Tables 9A</xref>, <xref ref-type="supplementary-material" rid="SM1">10A</xref>). The consistent statistical significance of SDI observed in sex-stratified models extended specifically to gout among females and other musculoskeletal disorders among males. Interestingly, the directions and magnitudes of its associations varied by musculoskeletal subtype, indicating substantial effect heterogeneity rather than a uniform protective or adverse influence of socioeconomic development.</p>
<table-wrap position="float" id="T2">
<label>Table 2</label>
<caption><p>Model estimates comparisons for both sexes (A: Parametric Coefficients; B: Smooth terms; <sup>&#x0002A;</sup><italic>p</italic> &#x0003C; 0.05, <sup>&#x0002A;&#x0002A;</sup><italic>p</italic> &#x0003C; 0.01, <sup>&#x0002A;&#x0002A;&#x0002A;</sup><italic>p</italic> &#x0003C; 0.001).</p></caption>
<table frame="box" rules="all">
<thead>
<tr>
<th valign="top" align="left" colspan="10"><bold>A: Parametric coefficients</bold></th>
</tr>
<tr>
<th valign="top" align="left" rowspan="2"><bold>Rheumatoid arthritis</bold></th>
<th valign="top" align="center" colspan="2"><bold>Model B</bold></th>
<th valign="top" align="center" colspan="2"><bold>Model D</bold></th>
<th valign="top" align="left" rowspan="2"><bold>Osteoarthritis</bold></th>
<th valign="top" align="center" colspan="2"><bold>Model B</bold></th>
<th valign="top" align="center" colspan="2"><bold>Model D</bold></th>
</tr>
<tr>
<th valign="top" align="center"><bold>Estimate</bold></th>
<th valign="top" align="center"><bold>Std. Error</bold></th>
<th valign="top" align="center"><bold>Estimate</bold></th>
<th valign="top" align="center"><bold>Std. Error</bold></th>
<th valign="top" align="center"><bold>Estimate</bold></th>
<th valign="top" align="center"><bold>Std. Error</bold></th>
<th valign="top" align="center"><bold>Estimate</bold></th>
<th valign="top" align="center"><bold>Std. Error</bold></th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Intercept</td>
<td valign="top" align="center">1,955.171</td>
<td valign="top" align="center">312.355</td>
<td valign="top" align="center">176.904 <sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">0.930</td>
<td valign="top" align="left">Intercept</td>
<td valign="top" align="center">&#x02212;3,267.656 <sup>&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">1,196.182</td>
<td valign="top" align="center">1,350.526 <sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">2.865</td>
</tr>
<tr>
<td valign="top" align="left">SDI</td>
<td valign="top" align="center">&#x02212;15.912<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">1.109</td>
<td valign="top" align="center">&#x02212;19.451<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">2.287</td>
<td valign="top" align="left">SDI</td>
<td valign="top" align="center">20.935 <sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">4.248</td>
<td valign="top" align="center">35.016 <sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">6.814</td>
</tr>
<tr>
<td valign="top" align="left">Obesity prevalence</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">&#x02212;6.228 <sup>&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">2.169</td>
<td valign="top" align="left">Obesity prevalence</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">30.544 <sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">6.425</td>
</tr>
<tr>
<td valign="top" align="left">Smoking rate</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">0.949</td>
<td valign="top" align="center">1.887</td>
<td valign="top" align="left">Smoking rate</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">19.485 <sup>&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">5.642</td>
</tr>
<tr>
<td valign="top" align="left" rowspan="2"><bold>Low back pain</bold></td>
<td valign="top" align="center" colspan="2"><bold>Model B</bold></td>
<td valign="top" align="center" colspan="2"><bold>Model D</bold></td>
<td valign="top" align="left" rowspan="2"><bold>Neck pain</bold></td>
<td valign="top" align="center" colspan="2"><bold>Model B</bold></td>
<td valign="top" align="center" colspan="2"><bold>Model D</bold></td>
</tr>
<tr>
<td valign="top" align="center"><bold>Estimate</bold></td>
<td valign="top" align="center"><bold>Std. Error</bold></td>
<td valign="top" align="center"><bold>Estimate</bold></td>
<td valign="top" align="center"><bold>Std. Error</bold></td>
<td valign="top" align="center"><bold>Estimate</bold></td>
<td valign="top" align="center"><bold>Std. Error</bold></td>
<td valign="top" align="center"><bold>Estimate</bold></td>
<td valign="top" align="center"><bold>Std. Error</bold></td>
</tr>
<tr>
<td valign="top" align="left">Intercept</td>
<td valign="top" align="center">7,829.959 <sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">1,653.214</td>
<td valign="top" align="center">2,396.730 <sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">4.708</td>
<td valign="top" align="left">Intercept</td>
<td valign="top" align="center">344.249 <sup>&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">101.781</td>
<td valign="top" align="center">345.200 <sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">0.299</td>
</tr>
<tr>
<td valign="top" align="left">SDI</td>
<td valign="top" align="center">&#x02212;92.780 <sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">5.872</td>
<td valign="top" align="center">&#x02212;55.813 <sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">10.177</td>
<td valign="top" align="left">SDI</td>
<td valign="top" align="center">1.502 <sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">0.361</td>
<td valign="top" align="center">2.534 <sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">0.632</td>
</tr>
<tr>
<td valign="top" align="left">Obesity prevalence</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">43.270 <sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">7.189</td>
<td valign="top" align="left">Obesity prevalence</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">1.304 <sup>&#x0002A;</sup></td>
<td valign="top" align="center">0.643</td>
</tr>
<tr>
<td valign="top" align="left">Smoking rate</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">16.127</td>
<td valign="top" align="center">9.432</td>
<td valign="top" align="left">Smoking rate</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">&#x02212;0.112</td>
<td valign="top" align="center">0.558</td>
</tr>
<tr>
<td valign="top" align="left" rowspan="2"><bold>Gout</bold></td>
<td valign="top" align="center" colspan="2"><bold>Model B</bold></td>
<td valign="top" align="center" colspan="2"><bold>Model D</bold></td>
<td valign="top" align="left" rowspan="2"><bold>Other musculoskeletal disorders</bold></td>
<td valign="top" align="center" colspan="2"><bold>Model B</bold></td>
<td valign="top" align="center" colspan="2"><bold>Model D</bold></td>
</tr>
<tr>
<td valign="top" align="center"><bold>Estimate</bold></td>
<td valign="top" align="center"><bold>Std. Error</bold></td>
<td valign="top" align="center"><bold>Estimate</bold></td>
<td valign="top" align="center"><bold>Std. Error</bold></td>
<td valign="top" align="center"><bold>Estimate</bold></td>
<td valign="top" align="center"><bold>Std. Error</bold></td>
<td valign="top" align="center"><bold>Estimate</bold></td>
<td valign="top" align="center"><bold>Std. Error</bold></td>
</tr>
<tr>
<td valign="top" align="left">Intercept</td>
<td valign="top" align="center">270.929</td>
<td valign="top" align="center">333.831</td>
<td valign="top" align="center">176.202 <sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">0.916</td>
<td valign="top" align="left">Intercept</td>
<td valign="top" align="center">4,353.753</td>
<td valign="top" align="center">2,286.827</td>
<td valign="top" align="center">1,637.092 <sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">6.887</td>
</tr>
<tr>
<td valign="top" align="left">SDI</td>
<td valign="top" align="center">&#x02212;3.069 <sup>&#x0002A;</sup></td>
<td valign="top" align="center">1.186</td>
<td valign="top" align="center">0.006</td>
<td valign="top" align="center">2.304</td>
<td valign="top" align="left">SDI</td>
<td valign="top" align="center">37.739 <sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">8.122</td>
<td valign="top" align="center">27.361</td>
<td valign="top" align="center">16.276</td>
</tr>
<tr>
<td valign="top" align="left">Obesity prevalence</td>
<td valign="top" align="center">-</td>
<td valign="top" align="center">-</td>
<td valign="top" align="center">&#x02212;3.945</td>
<td valign="top" align="center">2.078</td>
<td valign="top" align="left">Obesity prevalence</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">7.088</td>
<td valign="top" align="center">14.595</td>
</tr>
<tr>
<td valign="top" align="left">Smoking rate</td>
<td valign="top" align="center">-</td>
<td valign="top" align="center">-</td>
<td valign="top" align="center">8.299 <sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">1.824</td>
<td valign="top" align="left">Smoking rate</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">&#x02212;7.682</td>
<td valign="top" align="center">13.395</td>
</tr>
<tr>
<td valign="top" align="left" colspan="10"><bold>B: Smooth terms</bold></td>
</tr>
<tr>
<td valign="top" align="left" rowspan="2"><bold>Rheumatoid arthritis</bold></td>
<td valign="top" align="center" colspan="2"><bold>Model B</bold></td>
<td valign="top" align="center" colspan="2"><bold>Model D</bold></td>
<td valign="top" align="left" rowspan="2"><bold>Osteoarthritis</bold></td>
<td valign="top" align="center" colspan="2"><bold>Model B</bold></td>
<td valign="top" align="center" colspan="2"><bold>Model D</bold></td>
</tr>
<tr>
<td valign="top" align="center"><bold>Estimate</bold></td>
<td valign="top" align="center"><bold>Std. Error</bold></td>
<td valign="top" align="center"><bold>Estimate</bold></td>
<td valign="top" align="center"><bold>Std. Error</bold></td>
<td valign="top" align="center"><bold>Estimate</bold></td>
<td valign="top" align="center"><bold>Std. Error</bold></td>
<td valign="top" align="center"><bold>Estimate</bold></td>
<td valign="top" align="center"><bold>Std. Error</bold></td>
</tr>
<tr>
<td valign="top" align="left">TRAN_ANN</td>
<td valign="top" align="center">7.567<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">1.558</td>
<td valign="top" align="center">4.781<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">9.000</td>
<td valign="top" align="left">TRAN_ANN</td>
<td valign="top" align="center">&#x02212;18.662<sup>&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">5.966</td>
<td valign="top" align="center">5.617<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">9.000</td>
</tr>
<tr>
<td valign="top" align="left">MEAN_TAVG</td>
<td valign="top" align="center">&#x02212;4.279<sup>&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">1.374</td>
<td valign="top" align="center">2.344<sup>&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">9.000</td>
<td valign="top" align="left">MEAN_TAVG</td>
<td valign="top" align="center">&#x02212;11.468<sup>&#x0002A;</sup></td>
<td valign="top" align="center">5.264</td>
<td valign="top" align="center">3.700<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">9.000</td>
</tr>
<tr>
<td valign="top" align="left">RRAV_ANN</td>
<td valign="top" align="center">&#x02212;1.345</td>
<td valign="top" align="center">1.542</td>
<td valign="top" align="center">4.732<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">9.000</td>
<td valign="top" align="left">RRAV_ANN</td>
<td valign="top" align="center">1.851</td>
<td valign="top" align="center">5.905</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">9.000</td>
</tr>
<tr>
<td valign="top" align="left">MEAN_RRAV</td>
<td valign="top" align="center">&#x02212;5.544</td>
<td valign="top" align="center">9.829</td>
<td valign="top" align="center">2.650<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">9.000</td>
<td valign="top" align="left">MEAN_RRAV</td>
<td valign="top" align="center">&#x02212;46.699</td>
<td valign="top" align="center">37.642</td>
<td valign="top" align="center">0.904<sup>&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">9.000</td>
</tr>
<tr>
<td valign="top" align="left">MEAN_ASTP</td>
<td valign="top" align="center">&#x02212;225.571 <sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">37.436</td>
<td valign="top" align="center">3.935<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">9.000</td>
<td valign="top" align="left">MEAN_ASTP</td>
<td valign="top" align="center">527.605<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">143.365</td>
<td valign="top" align="center">3.699<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">9.000</td>
</tr>
<tr>
<td valign="top" align="left">MEAN_AWND</td>
<td valign="top" align="center">48.079<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">8.607</td>
<td valign="top" align="center">4.991<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">9.000</td>
<td valign="top" align="left">MEAN_AWND</td>
<td valign="top" align="center">88.696<sup>&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">32.960</td>
<td valign="top" align="center">3.370<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">9.000</td>
</tr>
<tr>
<td valign="top" align="left">Year</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">1.753<sup>&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">4.000</td>
<td valign="top" align="left">Year</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">2.226<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">4.000</td>
</tr>
<tr>
<td valign="top" align="left" rowspan="2"><bold>Low back pain</bold></td>
<td valign="top" align="center" colspan="2"><bold>Model B</bold></td>
<td valign="top" align="center" colspan="2"><bold>Model D</bold></td>
<td valign="top" align="left" rowspan="2"><bold>Neck pain</bold></td>
<td valign="top" align="center" colspan="2"><bold>Model B</bold></td>
<td valign="top" align="center" colspan="2"><bold>Model D</bold></td>
</tr>
<tr>
<td valign="top" align="center"><bold>Estimate</bold></td>
<td valign="top" align="center"><bold>Std. Error</bold></td>
<td valign="top" align="center"><bold>Edf</bold></td>
<td valign="top" align="center"><bold>Ref.df</bold></td>
<td valign="top" align="center"><bold>Estimate</bold></td>
<td valign="top" align="center"><bold>Std. Error</bold></td>
<td valign="top" align="center"><bold>Edf</bold></td>
<td valign="top" align="center"><bold>Ref.df</bold></td>
</tr>
<tr>
<td valign="top" align="left">TRAN_ANN</td>
<td valign="top" align="center">&#x02212;14.870</td>
<td valign="top" align="center">8.246</td>
<td valign="top" align="center">6.246<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">9.000</td>
<td valign="top" align="left">TRAN_ANN</td>
<td valign="top" align="center">1.344<sup>&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">0.508</td>
<td valign="top" align="center">1.500<sup>&#x0002A;</sup></td>
<td valign="top" align="center">9.000</td>
</tr>
<tr>
<td valign="top" align="left">MEAN_TAVG</td>
<td valign="top" align="center">&#x02212;8.920</td>
<td valign="top" align="center">7.275</td>
<td valign="top" align="center">0.873</td>
<td valign="top" align="center">9.000</td>
<td valign="top" align="left">MEAN_TAVG</td>
<td valign="top" align="center">&#x02212;0.345</td>
<td valign="top" align="center">0.448</td>
<td valign="top" align="center">3.148<sup>&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">9.000</td>
</tr>
<tr>
<td valign="top" align="left">RRAV_ANN</td>
<td valign="top" align="center">&#x02212;12.144</td>
<td valign="top" align="center">8.161</td>
<td valign="top" align="center">0.006</td>
<td valign="top" align="center">9.000</td>
<td valign="top" align="left">RRAV_ANN</td>
<td valign="top" align="center">1.194<sup>&#x0002A;</sup></td>
<td valign="top" align="center">0.502</td>
<td valign="top" align="center">0.361</td>
<td valign="top" align="center">9.000</td>
</tr>
<tr>
<td valign="top" align="left">MEAN_RRAV</td>
<td valign="top" align="center">&#x02212;180.544</td>
<td valign="top" align="center">52.024</td>
<td valign="top" align="center">2.751<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">9.000</td>
<td valign="top" align="left">MEAN_RRAV</td>
<td valign="top" align="center">&#x02212;0.842</td>
<td valign="top" align="center">3.203</td>
<td valign="top" align="center">1.441<sup>&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">9.000</td>
</tr>
<tr>
<td valign="top" align="left">MEAN_ASTP</td>
<td valign="top" align="center">&#x02212;599.282<sup>&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">198.141</td>
<td valign="top" align="center">3.855<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">9.000</td>
<td valign="top" align="left">MEAN_ASTP</td>
<td valign="top" align="center">4.364</td>
<td valign="top" align="center">12.199</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">9.000</td>
</tr>
<tr>
<td valign="top" align="left">MEAN_AWND</td>
<td valign="top" align="center">120.117 <sup>&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">45.554</td>
<td valign="top" align="center">2.236<sup>&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">9.000</td>
<td valign="top" align="left">MEAN_AWND</td>
<td valign="top" align="center">&#x02212;9.383<sup>&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">2.805</td>
<td valign="top" align="center">5.270<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">9.000</td>
</tr>
<tr>
<td valign="top" align="left">Year</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">4.000</td>
<td valign="top" align="left">Year</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">3.576<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">4.000</td>
</tr>
<tr>
<td valign="top" align="left" rowspan="2"><bold>Gout</bold></td>
<td valign="top" align="center" colspan="2"><bold>Model B</bold></td>
<td valign="top" align="center" colspan="2"><bold>Model D</bold></td>
<td valign="top" align="left" rowspan="2"><bold>Other musculoskeletal disorders</bold></td>
<td valign="top" align="center" colspan="2"><bold>Model B</bold></td>
<td valign="top" align="center" colspan="2"><bold>Model D</bold></td>
</tr>
<tr>
<td valign="top" align="center"><bold>Estimate</bold></td>
<td valign="top" align="center"><bold>Std. Error</bold></td>
<td valign="top" align="center"><bold>Edf</bold></td>
<td valign="top" align="center"><bold>Ref.df</bold></td>
<td valign="top" align="center"><bold>Estimate</bold></td>
<td valign="top" align="center"><bold>Std. Error</bold></td>
<td valign="top" align="center"><bold>Edf</bold></td>
<td valign="top" align="center"><bold>Ref.df</bold></td>
</tr>
<tr>
<td valign="top" align="left">TRAN_ANN</td>
<td valign="top" align="center">&#x02212;12.842<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">1.665</td>
<td valign="top" align="center">3.642<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">9.000</td>
<td valign="top" align="left">TRAN_ANN</td>
<td valign="top" align="center">&#x02212;0.481</td>
<td valign="top" align="center">11.406</td>
<td valign="top" align="center">0.003</td>
<td valign="top" align="center">9.000</td>
</tr>
<tr>
<td valign="top" align="left">MEAN_TAVG</td>
<td valign="top" align="center">&#x02212;2.810</td>
<td valign="top" align="center">1.469</td>
<td valign="top" align="center">2.462<sup>&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">9.000</td>
<td valign="top" align="left">MEAN_TAVG</td>
<td valign="top" align="center">&#x02212;26.027<sup>&#x0002A;</sup></td>
<td valign="top" align="center">10.063</td>
<td valign="top" align="center">1.578<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">9.000</td>
</tr>
<tr>
<td valign="top" align="left">RRAV_ANN</td>
<td valign="top" align="center">5.250<sup>&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">1.648</td>
<td valign="top" align="center">2.518<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">9.000</td>
<td valign="top" align="left">RRAV_ANN</td>
<td valign="top" align="center">&#x02212;5.637</td>
<td valign="top" align="center">11.289</td>
<td valign="top" align="center">0.543</td>
<td valign="top" align="center">9.000</td>
</tr>
<tr>
<td valign="top" align="left">MEAN_RRAV</td>
<td valign="top" align="center">9.554</td>
<td valign="top" align="center">10.505</td>
<td valign="top" align="center">2.662<sup>&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">9.000</td>
<td valign="top" align="left">MEAN_RRAV</td>
<td valign="top" align="center">&#x02212;215.516<sup>&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">71.962</td>
<td valign="top" align="center">2.319<sup>&#x0002A;</sup></td>
<td valign="top" align="center">9.000</td>
</tr>
<tr>
<td valign="top" align="left">MEAN_ASTP</td>
<td valign="top" align="center">&#x02212;9.282</td>
<td valign="top" align="center">40.010</td>
<td valign="top" align="center">3.713<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">9.000</td>
<td valign="top" align="left">MEAN_ASTP</td>
<td valign="top" align="center">&#x02212;221.187</td>
<td valign="top" align="center">274.081</td>
<td valign="top" align="center">4.834<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">9.000</td>
</tr>
<tr>
<td valign="top" align="left">MEAN_AWND</td>
<td valign="top" align="center">&#x02212;15.444</td>
<td valign="top" align="center">9.199</td>
<td valign="top" align="center">4.040<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">9.000</td>
<td valign="top" align="left">MEAN_AWND</td>
<td valign="top" align="center">18.012</td>
<td valign="top" align="center">63.013</td>
<td valign="top" align="center">4.332<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">9.000</td>
</tr>
<tr>
<td valign="top" align="left">Year</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">2.527<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">4.000</td>
<td valign="top" align="left">Year</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">1.730</td>
<td valign="top" align="center">4.000</td>
</tr></tbody>
</table>
<table-wrap-foot>
<p><bold>Model B</bold>: DALYs &#x0007E; SDI &#x0002B; Population Density &#x0002B; Meteorological factors.</p>
<p><bold>Model D</bold>: DALYs &#x0007E; SDI &#x0002B; Population Density &#x0002B; s (Meteorological factors) &#x0002B; s (Years).</p>
<p><bold>Estimate</bold>: Linear coefficient.</p>
<p><bold>Std. Error</bold>: Standard Error.</p>
<p><bold>Edf</bold>: Estimated Degrees of Freedom.</p>
<p><bold>Ref.df</bold>: Reference Degrees of Freedom.</p>
</table-wrap-foot>
</table-wrap>
<p>Behavioral factors (obesity prevalence and smoking rate) exhibited consistent positive associations with osteoarthritis across sexes in Model D, with obesity prevalence remaining statistically significant in both Sensitivity Models S1 and S2 (see <xref ref-type="supplementary-material" rid="SM1">Supplementary Tables 11A</xref>, <xref ref-type="supplementary-material" rid="SM1">12A</xref>, <xref ref-type="supplementary-material" rid="SM1">13A</xref>). In contrast, more pronounced sex heterogeneity was observed in the associations between behavioral factors and rheumatoid arthritis, low back pain, gout, and other musculoskeletal disorders. Specifically, smoking rate showed persistent positive effects on the burden of low back pain among females and gout among males across both the main and sensitivity analyses.</p></sec>
<sec>
<label>3.4</label>
<title>The potential associations of inter-annual meteorological variability with burden of MSKs</title>
<p>As shown in <xref ref-type="table" rid="T2">Table 2B</xref> and <xref ref-type="supplementary-material" rid="SM1">Supplementary Tables 9B</xref>, <xref ref-type="supplementary-material" rid="SM1">10B</xref>, for each MSK subtype, multiple meteorological variables were already statistically significant in the linear models (Model B). As the model specification progressed to non-linear smooth terms and additionally adjusted for behavioral covariates and temporal trends (Model D), the number of significant meteorological terms generally increased, indicating enhanced detection of non-linear exposure-burden relationships. Importantly, the majority of these significant associations remained robust in Sensitivity Models S1 and S2 (see <xref ref-type="supplementary-material" rid="SM1">Supplementary Tables 11B</xref>, <xref ref-type="supplementary-material" rid="SM1">12B</xref>, <xref ref-type="supplementary-material" rid="SM1">13B</xref>), supporting the stability of the observed effects.</p>
<sec>
<label>3.4.1</label>
<title>Annual average daily temperature</title>
<p>GAM results indicated distinct non-linear associations between MEAN_TAVG (annual average daily temperature) and the burdens of rheumatoid arthritis, osteoarthritis, neck pain, gout, and other musculoskeletal disorders in both sexes (see <xref ref-type="table" rid="T2">Table 2B</xref> and <xref ref-type="fig" rid="F3">Figures 3A<sub>2</sub>, B<sub>2</sub>, D<sub>2</sub>&#x02013;F<sub>2</sub></xref>). Specifically, these MSK conditions exhibited broadly similar patterns, with burdens initially declining at the lower exposure distribution of temperatures before rebounding at higher extremes. Further indicated by the first-derivative analysis (see <xref ref-type="supplementary-material" rid="SM1">Supplementary Figure 15</xref>), the direction of the temperature effects shifted within moderate exposure ranges between the standardized zero point and approximately one standard deviation units for osteoarthritis, neck pain and gout. According to sex-stratified analyses (see <xref ref-type="supplementary-material" rid="SM1">Supplementary Tables 9B</xref>, <xref ref-type="supplementary-material" rid="SM1">10B</xref>, and <xref ref-type="supplementary-material" rid="SM1">Supplementary Figures 6</xref>, <xref ref-type="supplementary-material" rid="SM1">7</xref>), MEAN_TAVG displayed the fall-and-rise pattern in the burden of low back pain and gout exclusively for males. Similarly, the association between temperature exposures and the burden of other musculoskeletal disorders was more pronounced among males compared to females. For low back pain, the smooth term for MEAN_TAVG was not statistically significant, suggesting no clear association after adjustment (<xref ref-type="fig" rid="F3">Figure 3C<sub>2</sub></xref>; <xref ref-type="table" rid="T2">Table 2B</xref>).</p>
<fig position="float" id="F3">
<label>Figure 3</label>
<caption><p>Partial effects of GAM smooth terms for both sexes (Model D). <bold>(A)</bold> rheumatoid arthritis; <bold>(B)</bold> osteoarthritis; <bold>(C)</bold> low back pain; <bold>(D)</bold> neck pain; <bold>(E)</bold> gout; <bold>(F)</bold> other musculoskeletal disorders. 1: TRAN_ANN, Annual maximum temperature range; 2: MEAN_TAVG, Annual average daily temperature; 3: RRAV_ANN: Annual relative humidity range; 4: MEAN_RRAV, Annual average daily relative humidity; 5: MEAN_ASTP, Annual average barometric pressure; 6: MEAN_AWND, Annual average wind speed.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpubh-14-1630531-g0003.tif">
<alt-text content-type="machine-generated">Grid of thirty-six line graphs grouped into six labeled panels (A&#x02013;F), each showing the partial effects of different meteorological variables on rates of musculoskeletal diseases such as rheumatoid arthritis, osteoarthritis, low back pain, neck pain, gout, and other disorders for both sexes, with colored confidence intervals displaying patterns and associations for each condition.</alt-text>
</graphic>
</fig>
</sec>
<sec>
<label>3.4.2</label>
<title>Annual maximum temperature range</title>
<p>Despite fluctuations, the relationships between TRAN_ANN (annual maximum temperature range) and disease burden revealed distinct yet related patterns among rheumatoid arthritis, osteoarthritis, low back pain, and gout (see <xref ref-type="table" rid="T2">Table 2B</xref> and <xref ref-type="fig" rid="F3">Figures 3A<sub>1</sub>&#x02013;C<sub>1</sub>, E<sub>1</sub></xref> and <xref ref-type="supplementary-material" rid="SM1">Supplementary Figure 14</xref>), with consistent thresholds identified at around one standard deviation of the mean for both sexes. Below at approximately one standard deviation below the mean of the exposure distribution, osteoarthritis and low back pain burdens declined steeply. Across the mid-range of the standardized distribution (&#x02212;1 to &#x0002B;1 SD), these conditions transitioned into a plateau or a small rise, but shifted directions as approaching the higher extremes. In contrast, the associations were comparatively weaker and closer to flat for neck pain and other musculoskeletal disorders (<xref ref-type="fig" rid="F3">Figures 3D<sub>1</sub></xref> and <xref ref-type="fig" rid="F3">3F<sub>1</sub></xref>; <xref ref-type="table" rid="T2">Table 2B</xref>). Sex-stratified analyses (see <xref ref-type="supplementary-material" rid="SM1">Supplementary Figures 6</xref>, <xref ref-type="supplementary-material" rid="SM1">7</xref>) shows that the negative association of TRAN_ANN and gout burden were more pronounced among males, whereas rheumatoid arthritis exhibited the opposite sex-specific pattern at the higher tail of the standardized distribution of inter-annual temperature variability, with stronger effects among females.</p></sec>
<sec>
<label>3.4.3</label>
<title>Annual average daily relative humidity</title>
<p>For MEAN_RRAV (annual average daily relative humidity), the smooth terms were statistically significant across all MSK subtypes and sexes (<xref ref-type="fig" rid="F3">Figures 3A<sub>4</sub>&#x02013;F<sub>4</sub></xref>; <xref ref-type="table" rid="T2">Table 2B</xref>). Specifically, low back pain showed a sharp decline that leveled off within the most frequently sampled range around the median (4.20 log-scaled units), as <xref ref-type="fig" rid="F3">Figure 3C<sub>4</sub></xref> and <xref ref-type="supplementary-material" rid="SM1">Supplementary Figure 17</xref> indicates. In contrast, rheumatoid arthritis, gout, and other musculoskeletal disorders exhibited more noticeable fluctuations: rheumatoid arthritis followed an inverted U-shaped pattern across the empirically observed exposure range, with a minimum near the lower 5th percentile (3.84 log-scaled units) and a peak near the median (4.20 log-scaled units), while gout and other musculoskeletal disorders displayed the opposite curvature (see <xref ref-type="fig" rid="F3">Figures 3A<sub>4</sub>, E<sub>4</sub>, F<sub>4</sub></xref> and <xref ref-type="supplementary-material" rid="SM1">Supplementary Figure 17</xref>). Notably, the magnitude and variability of the MEAN_RRAV effects on gout and other musculoskeletal disorders were more noticeable among males than females (see <xref ref-type="supplementary-material" rid="SM1">Supplementary Figures 6</xref>, <xref ref-type="supplementary-material" rid="SM1">7</xref>).</p></sec>
<sec>
<label>3.4.4</label>
<title>Annual maximum relative humidity range</title>
<p>Regarding RRAV_ANN (annual maximum relative humidity range), gout revealed a predominantly positive relationship, whereas rheumatoid arthritis exhibited a roughly U-shaped trajectory featuring an inflection around one standard deviation above the mean (see <xref ref-type="fig" rid="F3">Figures 3A<sub>3</sub></xref>, <xref ref-type="fig" rid="F3">E<sub>3</sub></xref> and <xref ref-type="supplementary-material" rid="SM1">Supplementary Figure 16</xref>). Additionally, sex-specific analyses indicated a stronger impact of RRAV_ANN on gout burden in males compared to females, as presented in <xref ref-type="supplementary-material" rid="SM1">Supplementary Figures 6</xref>, <xref ref-type="supplementary-material" rid="SM1">7</xref>. By comparison, the associations between RRAV_ANN and osteoarthritis, low back pain, neck pain, and other musculoskeletal disorders were not statistically significant in the main model (<xref ref-type="fig" rid="F3">Figures 3B<sub>3</sub>&#x02013;D<sub>3</sub></xref>, <xref ref-type="fig" rid="F3">F<sub>3</sub></xref>; <xref ref-type="table" rid="T2">Table 2B</xref>).</p></sec>
<sec>
<label>3.4.5</label>
<title>Annual average barometric pressure</title>
<p>In <xref ref-type="fig" rid="F3">Figures 3A<sub>5</sub>&#x02013;C<sub>5</sub>, E<sub>5</sub>, F<sub>5</sub></xref>, the curve of MEAN_ASTP (annual average barometric pressure) showed a common breakpoint within the interquartile range (between 8.50 and 8.55 log-scaled units) across rheumatoid arthritis, osteoarthritis, low back pain, gout and other musculoskeletal disorders, as confirmed by derivative analyses (see <xref ref-type="supplementary-material" rid="SM1">Supplementary Figure 18</xref>), although the burden of other musculoskeletal disorders exhibited greater variability. For male-specific burden of gout, MEAN_ASTP demonstrated a more pronounced threshold-like effect within the central range of the exposure distribution, compared that of females (see <xref ref-type="supplementary-material" rid="SM1">Supplementary Figures 6</xref>, <xref ref-type="supplementary-material" rid="SM1">7</xref>). No clear association was observed for neck pain (<xref ref-type="fig" rid="F3">Figure 3D<sub>5</sub></xref>; <xref ref-type="table" rid="T2">Table 2B</xref>).</p></sec>
<sec>
<label>3.4.6</label>
<title>Annual average wind speed</title>
<p>Overall, MEAN_AWND (annual average wind speed) displayed great non-linear complexity across all MSK conditions, with a consistent turning point near the median of the exposure distribution (at approximately 3.50 log-scaled units), where rheumatoid arthritis, osteoarthritis, low back pain, gout, and other musculoskeletal disorders reached their maximum burdens (see <xref ref-type="fig" rid="F3">Figures 3A<sub>6</sub>&#x02013;C<sub>6</sub></xref>, <xref ref-type="fig" rid="F3">E<sub>6</sub>, F<sub>6</sub></xref> and <xref ref-type="supplementary-material" rid="SM1">Supplementary Figure 19</xref>). In contrast, neck pain uniquely attained its minimum burden at this point, although the overall effect size was relatively small (see <xref ref-type="fig" rid="F3">Figure 3D<sub>6</sub></xref>). Moreover, the MEAN_AWND-gout association exhibited greater magnitude and variability across the empirically observed exposure range among males than females (<xref ref-type="supplementary-material" rid="SM1">Supplementary Figures 6</xref>, <xref ref-type="supplementary-material" rid="SM1">7</xref>).</p></sec></sec></sec>
<sec sec-type="discussion" id="s4">
<label>4</label>
<title>Discussion</title>
<p>In 2021, older adults in the United States experienced considerably higher burdens from six musculoskeletal disorders compared to global averages, with gout among males and other musculoskeletal diseases among females showing the most substantial disparities. Over the study period, the burden for most MSK disorders increased, except rheumatoid arthritis and low back pain, which exhibited a declining trend. Correlation analyses revealed significant bivariate associations between specific meteorological variables and disease burdens. Subsequent modeling using GAMs, allowing for non-linear meteorology-health relationships, jointly accounted for behavioral risk factors and residual temporal trends, significantly improved model performance relative to baseline models, uncovering nuanced and disorder-specific effects of ambient meteorological conditions with potential common thresholds across MSK conditions. Notably, beyond the impact of annual average conditions, inter-annual fluctuations in temperature and humidity consistently exhibited significant associations with MSK burdens. Furthermore, absolute levels of wind speed and barometric pressure was significantly correlated with nearly all disorders studied, underscoring their broad population-level relevance. Sex-based differences in meteorology-disease associations were also evident, particularly for gout and rheumatoid arthritis. Rather than implying direct causality, our findings primarily aim to advance understanding of population-level meteorology-MSK associations and to inform context-sensitive public health planning and preventive strategies in aging societies.</p>
<p>Previous research has long suggested an association between meteorological factors and MSK conditions (<xref ref-type="bibr" rid="B20">20</xref>, <xref ref-type="bibr" rid="B36">36</xref>, <xref ref-type="bibr" rid="B37">37</xref>), yet findings remain inconclusive. Notably, gout is supported by the strongest evidence implicating weather conditions among the MSKs examined (<xref ref-type="bibr" rid="B17">17</xref>). Many studies report seasonal peaks in gout attacks driven by changes in air temperature, barometric pressure, humidity, and wind speed (<xref ref-type="bibr" rid="B12">12</xref>, <xref ref-type="bibr" rid="B16">16</xref>, <xref ref-type="bibr" rid="B21">21</xref>, <xref ref-type="bibr" rid="B38">38</xref>). Several biological mechanisms have been proposed to explain these associations, including disrupted physiological homeostasis, enhanced renal reabsorption of urate, and dysregulation of innate immune responses (<xref ref-type="bibr" rid="B12">12</xref>, <xref ref-type="bibr" rid="B21">21</xref>). Additionally, a meta-analysis of case-crossover studies indicated that the combination of high temperature and low humidity significantly increased the risk of gout flares (<xref ref-type="bibr" rid="B17">17</xref>). Consistent with this, our study found that gout burden reached a lowest level within moderate ranges of the annual average temperatures (MEAN_TAVG) but rose markedly at the higher end (most pronounced among males). Apart from the absolute temperatures, there is also evidence highlighting that greater temperature variability may induce acute gout episodes (<xref ref-type="bibr" rid="B12">12</xref>, <xref ref-type="bibr" rid="B17">17</xref>). In contrast, our study revealed a moderate and negative association between annual maximum temperature range (TRAN_ANN) and gout burden, and this effect was again more pronounced among males. In particular, this inverse association was estimated after adjustment for mean annual temperature, suggesting that the effect of intra-annual temperature variability may be independent of average thermal exposure.</p>
<p>Similar regulatory effects of temperature have been previously explored for other MSK subtypes. For example, a retrospective longitudinal analysis from Morocco reported that increased daily minimum temperatures during summer were associated with reduced pain intensity in patients with rheumatoid arthritis (<xref ref-type="bibr" rid="B14">14</xref>). Similarly, a 14-year primary care study conducted in Spain observed fewer referrals for shoulder or arm pain in years when annual minimum temperatures were higher (<xref ref-type="bibr" rid="B39">39</xref>). In Australia, a web-based longitudinal study found associations between sudden temperature fluctuations and increased hip osteoarthritis pain (<xref ref-type="bibr" rid="B40">40</xref>). Moreover, nationwide big-data research from South Korea reported a stronger association between monthly temperature differences and the temporomandibular disorder prevalence compared to absolute temperatures alone (<xref ref-type="bibr" rid="B41">41</xref>).</p>
<p>In our current study, although we did not observe a consistent pattern of temperature effects across the six MSK subtypes, some common &#x0201C;breakpoints&#x0201D; were identified across six MSK subtypes in terms of annual average temperatures (MEAN_TAVG) or maximum temperature range (TRAN_ANN). These threshold points corresponded closely to local minima or maxima, indicating critical changes in the temperature-burden relationships. It is biologically plausible that extreme environmental conditions trigger adaptive physiological responses, thereby influencing the pathology of MSK disorders. For example, prolonged exposure to high temperatures can induce heat stress, altering immune function through changes in cytokine production and inflammatory signaling pathways (<xref ref-type="bibr" rid="B42">42</xref>). By contrast, cold exposure might exacerbate joint stiffness and pain in inflammatory arthritis, likely through transient reductions in peripheral blood flow and neuromuscular function (<xref ref-type="bibr" rid="B43">43</xref>, <xref ref-type="bibr" rid="B44">44</xref>).</p>
<p>More importantly, the outcome of interest in this study was disease burden measured by DALYs, which reflects the chronic accumulation of disability and premature mortality rather than acute disease incidence or short-term symptom fluctuations. As such, the observed associations with the inter-annual meteorological variability are unlikely to represent direct biological triggers of acute pain episodes. Instead, long-term weather patterns, particularly those characterizing regions with greater seasonal temperature contrast, may serve as proxies for broader contextual influences, including habitual physical activity, occupational exposure, healthcare access, and meteorology-related adaptive behaviors, all of which can shape cumulative MSK burdens over time. Consistent with this interpretation, elevated summer temperatures can contribute to increased consumption of beer, sugary beverages, and high-purine foods, thereby raising uric acid levels and exacerbating gout risk (<xref ref-type="bibr" rid="B21">21</xref>). In parallel, extended periods of extreme heat or cold may discourage regular outdoor physical activity (<xref ref-type="bibr" rid="B22">22</xref>), while reduced physical activity levels can lead to weight gain, loss of muscle strength, diminished joint support, and ultimately increased burden of conditions such as osteoarthritis or low back pain (<xref ref-type="bibr" rid="B23">23</xref>). Recent evidence further suggests that meteorological conditions may influence musculoskeletal health primarily by shaping physical activity patterns, activity constraints, and the utilization of rehabilitation and physical therapy resources, rather than through isolated direct biomechanical or inflammatory effects alone (<xref ref-type="bibr" rid="B24">24</xref>&#x02013;<xref ref-type="bibr" rid="B26">26</xref>). In addition, substantial individual variability, shaped by genetic predisposition, lifestyle factors, psychological resilience, pain perception, coping mechanisms, or baseline disease severity, can further explain heterogeneous vulnerability to meteorological exposures (<xref ref-type="bibr" rid="B45">45</xref>&#x02013;<xref ref-type="bibr" rid="B48">48</xref>).</p>
<p>Humidity has previously been implicated in gout flare-ups, with Neogi et al. reporting a reverse J-shaped association between average relative humidity and recurrent gout attacks, characterized by increased risk at higher humidity extremes (<xref ref-type="bibr" rid="B16">16</xref>). Our analyses revealed predictive potential of both humidity-related metrics (annual average and range) for gout and rheumatoid arthritis. Given previous research primarily emphasized short-term humidity exposure, our findings highlight the inter-annual humidity variability may also influence MSK burden through cumulative, indirect pathways, offering new avenues for future research.</p>
<p>Compared to temperature, humidity, wind speed, and barometric pressure are less consistently documented in relation to MSK aggravation. Nonetheless, some research has suggested a mitigating role of lower barometric pressure and stronger winds in chronic MSK pain (<xref ref-type="bibr" rid="B14">14</xref>, <xref ref-type="bibr" rid="B49">49</xref>, <xref ref-type="bibr" rid="B50">50</xref>). Under GAM specifications in our study, the population-level associations of most MSK disorders and annual average barometric pressure (MEAN_ASTP) demonstrated a similar U-shaped pattern. Conversely, annual average wind speed (MEAN_AWND) exhibited more distinct, disease-specific trends despite sharing common turning points. In this context, unlike temperature and humidity, which were characterized using both annual mean and annual range metrics to better capture physiologically relevant exposure patterns, MEAN_ASTP and MEAN_AWND were represented solely by annual mean values. Thus, their associations with MSK burden are more plausibly interpreted as population-level statistical correlations that likely arise from complex environmental and structural pathways.</p>
<p>Despite meaningful insights emerging from various study designs so far (<xref ref-type="bibr" rid="B51">51</xref>, <xref ref-type="bibr" rid="B52">52</xref>), systematic reviews and bigdata-based epidemiological studies have often questioned the assumption that meteorological factors directly trigger MSK pain onset or exacerbation (<xref ref-type="bibr" rid="B17">17</xref>, <xref ref-type="bibr" rid="B36">36</xref>, <xref ref-type="bibr" rid="B45">45</xref>, <xref ref-type="bibr" rid="B46">46</xref>). These conflicting findings possibly stem from methodological limitations commonly encountered in environmental-health research, including small sample sizes, short follow-up periods, misclassification of meteorological exposure, heterogeneity in outcome measurements, and insufficient adjustment for potential confounding factors (<xref ref-type="bibr" rid="B17">17</xref>, <xref ref-type="bibr" rid="B20">20</xref>). The case-crossover design is frequently employed to assess the effects of transient environmental exposures on the risk of acute MSK pain events whose validity depends on appropriate selection of control time windows (pain-free periods). Besides, due to the self-reported nature of symptom exacerbations, participants may recall or report environmental conditions differently during episodes of pain compared to pain-free intervals, introducing recall bias. Another substantial concern is the inconsistent treatment of environmental variables across studies, complicating comparisons and synthesis of results. For instance, some studies utilize daily averages or maximum values, whereas others incorporate more precise hourly or instantaneous records. Furthermore, relatively few studies have adequately accounted for lagged effects (delayed weather impact on pain) or lead effects (pain preceding weather changes), potentially overlooking long-term or cumulative meteorological impacts on MSK symptoms (<xref ref-type="bibr" rid="B20">20</xref>). Addressing these methodological limitations through standardized exposure assessments, clearly defined referent periods, rigorous design choices, and long-term prospective studies will be critical to advancing the understanding of meteorological effects on MSK health outcomes.</p>
<p>Globally, MSK conditions rank prominently among the top contributors to the loss of healthy years, with burdens that accumulate with advancing age, and disproportionately affect older adults. The rapidly aging global population amplifies their importance as a public health priority. Our study identified distinct, occasionally contrasting patterns of meteorology-disease associations across the six included MSK conditions. Notably, we also observed sex-based disparities, particularly evident in gout and rheumatoid arthritis. The use of GAMs and derivative analyses revealed that both the direction and magnitude of meteorological effects varied across certain thresholds, characterized by some common breakpoints located around the central portion of the exposure distribution (i.e., near the mean or median on the standardized scale). These breakpoints likely represent transition zones in relative exposure intensity experienced by a large proportion of the population, where modest shifts may interact with behavioral adaptation, physiological tolerance, and healthcare-system buffering capacity, thereby exerting a disproportionate influence on the long-term accumulation of MSK disease burden at the regional level. Based on these insights, observed non-linear and sex-specific patterns are more plausibly interpreted as reflecting the integrated influence of environmental conditions, behavioral adaptations, psychosocial vulnerability, and healthcare utilization over prolonged periods, rather than direct short-term physiological triggering alone. To move beyond ecologic inference, future research should prioritize longitudinal and individual-level study designs that integrate repeated symptom assessment with detailed psychosocial, behavioral, and social-contextual data. Such approaches will be essential for clarifying how meteorological variability interacts with aging, lifestyle, healthcare access, and broader structural determinants of health in shaping the long-term population burden of MSK disorders. Ultimately, this integrated perspective may inform context-sensitive prevention strategies and resource planning for MSK disorders in an era of demographic aging and increasing environmental variability.</p>
<p>Several limitations should be noted when interpreting our findings. First, because we conducted a secondary analysis of GBD study data, the results may be influenced by biases inherent in GBD modeling, and our scope may exclude certain MSK conditions not captured by that study. Second, meteorological elements are usually highly correlated, and multicollinearity challenges the robustness of studies on environment-health associations. In our design, we improved numerical stability by rescaling predictor variables and mitigated multicollinearity by employing GAMs with penalized cubic regression splines, using restricted maximum likelihood and automatic smoothness selection. Additionally, VIFs were assessed to confirm minimal residual collinearity (VIF &#x0003C; 5) among predictors.</p>
<p>Third, meteorological exposures were generated by IDW over the continental domain and then averaged within state polygons, whose precision depends on station density. Coverage is limited for extended elements, and some state estimates necessarily borrow information from neighboring states. As a result, values are spatially smoothed and more uncertain in sparsely monitored areas, although IDW still recovers broad, physically plausible continental gradients. Fourth, this study is based on state-level aggregation of both meteorological exposures and MSK burden outcomes, which inevitably introduces exposure misclassification, particularly in meteorologically heterogeneous states. This aggregation also implies an inherent risk of ecological fallacy, whereby population-averaged associations cannot be directly translated into individual-level exposure&#x02013;outcome relationships. This form of misclassification is expected to be largely non-differential with respect to DALYs and would therefore predominantly bias associations toward the null rather than generate systematic false-positive findings. To partially address this limitation, we conducted multiple sensitivity analyses incorporating alternative demographic and healthcare-access adjustments as well as sex-specific models, and the overall patterns of the main associations remained generally consistent. Fifth, although we adjusted for key sociodemographic, behavioral, and healthcare-access factors across the main and sensitivity model specifications, residual confounding by unmeasured individual-level factors such as comorbidities, detailed lifestyle behaviors, and individual healthcare utilization patterns may still confound or modify the observed meteorological-MSK relationship. Sixth, our analysis is explicitly burden-oriented and population-based, so there is a potential for ecological fallacy. The annual meteorological summaries used in this study capture regional environmental contexts under which MSK burden accumulates over time, rather than individual-level acute physiological exposures. Accordingly, the observed associations should be not interpreted as evidence of short-term weather-triggered symptom dynamics. Finally, our findings are specific to individuals aged 55 and older in the United States, and the results may therefore not generalize to younger populations or low- or middle-income regions with markedly different meteorological contexts, healthcare systems, or lifestyle factors.</p></sec>
<sec sec-type="conclusion" id="s5">
<label>5</label>
<title>Conclusion</title>
<p>By integrating data from the Global Historical Climatology Network-Daily (GHCN-D), the Behavioral Risk Factor Surveillance System (BRFSS) and Global Burden of Disease (GBD) 2021, this study adopted an ecological design to explore condition-specific associations between inter-annual meteorological variability and musculoskeletal (MSK) disorders in older adults in the United States. Apart from the yearly mean summaries, annual temperature and humidity variations were consistently associated with MSK burdens at the population level. Additionally, annual average wind speed and barometric pressure were also associated with disease burdens across most disorders. Notably, sex-based differences were shown in meteorology-disease relationships, especially for gout and rheumatoid. Furthermore, General Additive Model (GAM) analyses highlighted common non-linear breakpoints across several MSK conditions. Given that Disability-Adjusted Life Years (DALYs) capture the cumulative impact of disability and premature mortality rather than acute symptom triggers, the observed associations should be interpreted as context-sensitive correlates of chronic disease burden operating through complex behavioral, psychosocial, and structural pathways. Collectively, our findings offer population-level support for the associations between inter-annual meteorological variability and MSK disorder burdens, reinforcing the importance of incorporating environmental variability into population-level MSK surveillance and burden forecasting, particularly in aging societies. Future research should prioritize longitudinal, individual-level studies that incorporate physiological, psychological, and behavioral data and social-contextual data. Such work will be critical for disentangling potential biological mechanisms from perceptual biases, behavioral and structural influences, and for clarifying how social resources, cultural beliefs, and healthcare access interact with meteorological variability in shaping long-term MSK disease burden. This integrated perspective is essential for informing population-based prevention and health-system planning for aging populations under ongoing environmental change.</p></sec>
</body>
<back>
<sec sec-type="data-availability" id="s6">
<title>Data availability statement</title>
<p>The original contributions presented in the study are included in the article/<xref ref-type="supplementary-material" rid="SM1">Supplementary material</xref>, further inquiries can be directed to the corresponding author.</p>
</sec>
<sec sec-type="ethics-statement" id="s7">
<title>Ethics statement</title>
<p>Ethical approval was not required for the study involving humans in accordance with the local legislation and institutional requirements. Written informed consent to participate in this study was not required from the participants or the participants&#x00027; legal guardians/next of kin in accordance with the national legislation and the institutional requirements.</p>
</sec>
<sec sec-type="author-contributions" id="s8">
<title>Author contributions</title>
<p>YZ: Visualization, Formal analysis, Software, Investigation, Writing &#x02013; original draft, Writing &#x02013; review &#x00026; editing. JW: Writing &#x02013; review &#x00026; editing. ZX: Writing &#x02013; review &#x00026; editing. JZ: Conceptualization, Methodology, Supervision, Project administration, Writing &#x02013; review &#x00026; editing.</p>
</sec>
<ack><title>Acknowledgments</title><p>We appreciate the commitments made by 2021 GBD Study collaborators for sharing essential data for all researchers regardless of nationality, sex, national or ethnic origin, color, religion, language, or any other status.</p></ack>
<sec sec-type="COI-statement" id="conf1">
<title>Conflict of interest</title>
<p>The author(s) declared that this work 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="s10">
<title>Generative AI statement</title>
<p>The author(s) declared that generative AI was used in the creation of this manuscript. During the preparation of this work, the author(s) used ChatGPT-4o to correct grammar and improve readability. After using this tool, the author(s) reviewed and edited the content as needed and took full responsibility for the publication&#x00027;s content.</p>
<p>Any alternative text (alt text) provided alongside figures in this article has been generated by Frontiers with the support of artificial intelligence and reasonable efforts have been made to ensure accuracy, including review by the authors wherever possible. If you identify any issues, please contact us.</p></sec>
<sec sec-type="disclaimer" id="s11">
<title>Publisher&#x00027;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>
<sec sec-type="supplementary-material" id="s12">
<title>Supplementary material</title>
<p>The Supplementary Material for this article can be found online at: <ext-link ext-link-type="uri" xlink:href="https://www.frontiersin.org/articles/10.3389/fpubh.2026.1630531/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/fpubh.2026.1630531/full#supplementary-material</ext-link></p>
<supplementary-material xlink:href="Data_Sheet_1.docx" id="SM1" mimetype="application/vnd.openxmlformats-officedocument.wordprocessingml.document" xmlns:xlink="http://www.w3.org/1999/xlink"/></sec>
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<fn-group>
<fn fn-type="custom" custom-type="edited-by" id="fn0001">
<p>Edited by: <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1633181/overview">Jiao Lu</ext-link>, Xi&#x00027;an Jiaotong University, China</p>
</fn>
<fn fn-type="custom" custom-type="reviewed-by" id="fn0002">
<p>Reviewed by: <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1037275/overview">Suying Liu</ext-link>, Peking Union Medical College Hospital (CAMS), China</p>
<p><ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/3117066/overview">Hamzah Pratama Megantara</ext-link>, National Cardiovascular Center Harapan Kita, Indonesia</p>
</fn>
</fn-group>
<fn-group>
<fn fn-type="abbr" id="abbr1"><label>Abbreviations:</label><p>AAPC, Average Annual Percent Change; AIC, Akaike Information Criterion; BRFSS, Behavioural Risk Factor Surveillance System; DALYs, Disability-Adjusted Life Years; Edf, Estimated Degrees of Freedom; GAM, Generalized Additive Model; GBD, Global Burden of Diseases, Injuries, and Risk Factors Study; GHCN-D, Global Historical Climatology Network &#x02013; Daily; GLM, Generalized Linear Model; IDW, Inverse Distance Weighting; MEAN_ASTP, Annual Average Barometric Pressure; MEAN_AWND, Annual Average Wind Speed; MEAN_RRAV, Annual Average Daily Relative Humidity; MEAN_TAVG, Annual Average Daily Temperature; MSK, Musculoskeletal; NOAA, National Oceanic and Atmospheric Administration; NCEI, National Centers for Environmental Information; REML, Restricted Maximum Likelihood; Ref. df, Reference Degrees of Freedom; RRAV_ANN, Annual Maximum Relative Humidity Range; SDI, Socio-Demographic Index; STROBOD, Standardized Reporting of Burden of Disease Studies; TRAN_ANN, Annual Maximum Temperature Range; UI, Uncertainty Interval; VIF, Variance Inflation Factor.</p></fn>
</fn-group>
</back>
</article>