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<article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" dtd-version="1.3" xml:lang="en" article-type="research-article"><?properties manuscript?><processing-meta base-tagset="archiving" mathml-version="3.0" table-model="xhtml" tagset-family="jats"><restricted-by>pmc</restricted-by></processing-meta><front><journal-meta><journal-id journal-id-type="nlm-journal-id">100898843</journal-id><journal-id journal-id-type="pubmed-jr-id">21835</journal-id><journal-id journal-id-type="nlm-ta">Int J Hyg Environ Health</journal-id><journal-id journal-id-type="iso-abbrev">Int J Hyg Environ Health</journal-id><journal-title-group><journal-title>International journal of hygiene and environmental health</journal-title></journal-title-group><issn pub-type="ppub">1438-4639</issn><issn pub-type="epub">1618-131X</issn></journal-meta><article-meta><article-id pub-id-type="pmid">39642664</article-id><article-id pub-id-type="pmc">11932287</article-id><article-id pub-id-type="doi">10.1016/j.ijheh.2024.114494</article-id><article-id pub-id-type="manuscript">HHSPA2061033</article-id><article-categories><subj-group subj-group-type="heading"><subject>Article</subject></subj-group></article-categories><title-group><article-title>Assessing occupational styrene exposure in the European and US Glass Reinforced Plastics Industry for the period between 1947 and 2020</article-title></title-group><contrib-group><contrib contrib-type="author"><name><surname>Christopher-de Vries</surname><given-names>Yvette</given-names></name><xref rid="A1" ref-type="aff">a</xref><xref rid="A2" ref-type="aff">b</xref><xref rid="CR1" ref-type="corresp">*</xref></contrib><contrib contrib-type="author"><name><surname>Burstyn</surname><given-names>Igor</given-names></name><xref rid="A3" ref-type="aff">c</xref></contrib><contrib contrib-type="author"><name><surname>Wulf Christensen</surname><given-names>Mette</given-names></name><xref rid="A4" ref-type="aff">d</xref><xref rid="A13" ref-type="aff">m</xref></contrib><contrib contrib-type="author"><name><surname>Not&#x000f8;</surname><given-names>Hilde</given-names></name><xref rid="A5" ref-type="aff">e</xref></contrib><contrib contrib-type="author"><name><surname>Straif</surname><given-names>Kurt</given-names></name><xref rid="A6" ref-type="aff">f</xref><xref rid="A7" ref-type="aff">g</xref></contrib><contrib contrib-type="author"><name><surname>Pukkala</surname><given-names>Eero</given-names></name><xref rid="A8" ref-type="aff">h</xref><xref rid="A9" ref-type="aff">i</xref></contrib><contrib contrib-type="author"><name><surname>Schl&#x000fc;nssen</surname><given-names>Vivi</given-names></name><xref rid="A10" ref-type="aff">j</xref></contrib><contrib contrib-type="author"><name><surname>Bertke</surname><given-names>Stephen</given-names></name><xref rid="A11" ref-type="aff">k</xref></contrib><contrib contrib-type="author"><name><surname>van Tongeren</surname><given-names>Martie</given-names></name><xref rid="A12" ref-type="aff">l</xref></contrib><contrib contrib-type="author"><name><surname>Kolstad</surname><given-names>Henrik A.</given-names></name><xref rid="A4" ref-type="aff">d</xref><xref rid="A13" ref-type="aff">m</xref></contrib><contrib contrib-type="author"><name><surname>McElvenny</surname><given-names>Damien</given-names></name><xref rid="A1" ref-type="aff">a</xref><xref rid="A12" ref-type="aff">l</xref></contrib><contrib contrib-type="author"><name><surname>Basinas</surname><given-names>Ioannis</given-names></name><xref rid="A12" ref-type="aff">l</xref></contrib></contrib-group><aff id="A1"><label>a</label>Research Group, Institute of Occupational Medicine, Research Avenue North, Riccarton Edinburgh, Midlothian, EH14 4AP, UK</aff><aff id="A2"><label>b</label>National Institute for Public Health and the Environment (RIVM), The Netherlands</aff><aff id="A3"><label>c</label>Department of Environmental and Occupational Health, Dornsife School of Public Health, Drexel University, Philadelphia, PA, 19102, United States</aff><aff id="A4"><label>d</label>Department of Occupational Medicine, Danish Ramazzini Centre, Aarhus University Hospital, Palle Juul-Jensens Blvd. 99, DK-8200, Aarhus N, Denmark</aff><aff id="A5"><label>e</label>National Institute of Occupational Health (STAMI), Gydas vei 8, 0363, Oslo, Norway</aff><aff id="A6"><label>f</label>Boston College, MA, United States</aff><aff id="A7"><label>g</label>ISGlobal, Barcelona Institute for Global Health, Barcelona, Spain</aff><aff id="A8"><label>h</label>Finnish Cancer Registry, Institute for Statistical and Epidemiological Cancer Research, M&#x000e4;kel&#x000e4;nkatu 2, 00500 Helsinki, Finland</aff><aff id="A9"><label>i</label>Health Sciences Unit, Faculty of Social Sciences, Tampere University, Arvo Ylp&#x000f6;n katu 34, 33520, Tampere, Finland</aff><aff id="A10"><label>j</label>Department of Public Health, unit for Environment, Occupation and Health, Danish Ramazzini Centre, Aarhus University, Bartholins All&#x000e9; 2, DK-8000, Aarhus C, Denmark</aff><aff id="A11"><label>k</label>National Institute for Occupational Safety and Health, Division of Field Studies and Engineering, Cincinnati, OH, United States</aff><aff id="A12"><label>l</label>Centre for Occupational and Environmental Health, Division of Population Health, Health Services Research and Primary Care, School of Health Sciences, Faculty of Biology, Medicine and Health, The University of Manchester, Manchester, UK</aff><aff id="A13"><label>m</label>Institute of Clinical Medicine, Aarhus University, Palle Juul-Jensens Blvd. 82, 8200, Aarhus N, Denmark</aff><author-notes><corresp id="CR1"><label>*</label>Corresponding author. Research Group, Institute of Occupational Medicine, Research Avenue North, Riccarton Edinburgh, Midlothian, EH14 4AP, UK. <email>yvette.christopher@rivm.nl</email> (Y. Christopher-de Vries).</corresp></author-notes><pub-date pub-type="nihms-submitted"><day>12</day><month>3</month><year>2025</year></pub-date><pub-date pub-type="ppub"><month>3</month><year>2025</year></pub-date><pub-date pub-type="epub"><day>05</day><month>12</month><year>2024</year></pub-date><pub-date pub-type="pmc-release"><day>24</day><month>3</month><year>2025</year></pub-date><volume>264</volume><fpage>114494</fpage><lpage>114494</lpage><abstract id="ABS1"><sec id="S1"><title>Background:</title><p id="P1">We aimed to develop a method for assessing occupational styrene exposures for application in epidemiological studies on risks of lymphohematopoietic neoplasms and other malignant and non-malignant diseases in the European and the US glass reinforced plastics industries.</p></sec><sec id="S2"><title>Method:</title><p id="P2">We estimated a linear mixed effects model based on individual airborne personal measurements of styrene from the glass reinforced plastics industry in Denmark, Norway, Sweden, UK, and the US. The most suitable model was chosen based on its predictive power as assessed using cross validation with different combinations of predictors; and by comparing their prediction errors.</p></sec><sec id="S3"><title>Results:</title><p id="P3">We created a database containing 21,201 personal and area measurements but a subset of 14,440 personal measurements that spanned a period from 1962 to 2018, were used in the analysis. The selected model included fixed effects for year, sampling duration, measurement reason, product, process and random effects for country and worker. There was strong agreement between the model&#x02019;s predictions and actual exposure values indicating a good fit (Lin&#x02019;s CCC: 0.85 95% CI 0.84, 0.85). There were regional differences in exposure levels, with the UK and the US having comparable exposures that were higher than those in the Nordic countries. Higher exposures were consistent with measurements collected for inspection purposes, the lamination process, and specific products. Styrene exposure levels have decreased annually on average by 7%.</p></sec><sec id="S4"><title>Conclusion:</title><p id="P4">Our exposure model and the resulting exposure predictions will enable estimation of lifetime occupational exposure for individual workers in the European and the US glass reinforced plastics industry and possibly related health risks among employees. The approach facilitates understanding of the uncertainty in our prediction model and can inform analysis of the bias that application of our exposure assessment approach can produce in epidemiologic analyses of exposure-response associations. Addressing systematic sources of bias can increase confidence in the conclusions of the epidemiologic analysis.</p></sec></abstract><kwd-group><kwd>Exposure assessment</kwd><kwd>Exposure database</kwd><kwd>Personal measurements</kwd><kwd>Occupational exposure</kwd><kwd>Linear mixed-effects model</kwd><kwd>Styrene</kwd><kwd>Glass reinforced plastics</kwd></kwd-group></article-meta></front><body><sec id="S5"><label>1.</label><title>Introduction</title><p id="P5">Styrene is used as a monomer in the production of polystyrene and styrene copolymers, styrene-butadiene rubbers, and in the manufacture of consumer products including house wares, insulation products, tyres and a wide variety of plastic and synthetic rubber products (<xref rid="R24" ref-type="bibr">IARC, 2018</xref>). It was first isolated in 1831 but only became commercially important in the late 1930&#x02019;s when it began to be used in the manufacturing of synthetic rubber (<xref rid="R23" ref-type="bibr">IARC, 1994</xref>). Its global market is estimated to be worth around USD 97.3 billion by 2032 (<xref rid="R38" ref-type="bibr">Precedence Research, 2024</xref>). Occupational styrene exposure has been linked to neurobehavioral effects (<xref rid="R4" ref-type="bibr">Benignus et al., 2005</xref>; <xref rid="R43" ref-type="bibr">Sliwinska-Kowalska et al., 2020</xref>), ototoxicity (<xref rid="R1" ref-type="bibr">ATSDR, 2010</xref>), neurological diseases (<xref rid="R25" ref-type="bibr">Iversen et al., 2021</xref>), autoimmune rheumatological diseases (<xref rid="R22" ref-type="bibr">Hjuler Boudigaard et al., 2020</xref>) and hematopoietic, sinonasal and lung cancer (<xref rid="R9" ref-type="bibr">Christensen et al., 2017</xref>; <xref rid="R36" ref-type="bibr">Nissen et al., 2018</xref>; <xref rid="R5" ref-type="bibr">Bertke et al., 2021</xref>; <xref rid="R28" ref-type="bibr">Kogevinas et al., 1994</xref>). In 2018, The International Agency for Research on Cancer&#x02019;s Monographs programme classified styrene as probably carcinogenic (Group 2 A), based on limited evidence of an increased risk of lymphohematopoietic malignancies in humans and sufficient evidence of carcinogenicity in experimental animals. This was supported by strong evidence of a mechanism that also operates in humans (<xref rid="R24" ref-type="bibr">IARC, 2018</xref>). The highest exposures to styrene occur in the reinforced plastics industry where there is little or no co-exposure to known carcinogens (<xref rid="R45" ref-type="bibr">Van Rooij et al., 2008</xref>; <xref rid="R26" ref-type="bibr">Jensen et al., 1990</xref>), thus reducing the chance of confounding. Different manufacturing sectors fall under the glass reinforced plastics (GRP) industry with boat building, car manufacturing, and construction among the most prominent.</p><p id="P6">The main processes during manufacture of GRP products include hand lay-up, spray lay-up, continuous lamination, pultrusion, filament winding and various closed-moulding operations. The individual process steps and the order in which they usually occur are: <italic toggle="yes">&#x0201c;(1) preparation of the mould (polishing and waxing), (2) gel coating, (3) mixing of the resin, (4) preparation of the glass fibre mats, (5) application of glass fibre and resin in the mould (lamination), (6) working of the applied material to remove enclosed air (rolling), (7) curing, (8) trimming, (9) painting of the &#x02018;raw&#x02019; side of the laminate (top coating, optional), and (10) finishing.&#x0201d;</italic> (<xref rid="R28" ref-type="bibr">Kogevinas et al., 1994</xref>). These are typical across facilities, but practices vary across industrial sub-sectors and between facilities. While in some facilities there is a clear division of labour with workers assigned to one or more of these steps, in others, workers who conduct hand- or spray lay-up, for instance, may also engage in gel-coating, rolling, cutting of fibre mats or other process-related tasks (<xref rid="R13" ref-type="bibr">Crandall, 1982</xref>; <xref rid="R28" ref-type="bibr">Kogevinas et al., 1994</xref>). Also, techniques such as spray- and hand lamination are often combined in the manufacture of a single product (<xref rid="R13" ref-type="bibr">Crandall, 1982</xref>; <xref rid="R28" ref-type="bibr">Kogevinas et al., 1994</xref>).</p><p id="P7">One of the first comprehensive investigations into a possible link between styrene exposure and cancer began in 1982, with the establishment of an European multicentre occupational cohort study comprising 41,167 workers from Denmark, Finland, Italy, Norway, Sweden, and the UK (<xref rid="R23" ref-type="bibr">IARC, 1994</xref>; <xref rid="R28" ref-type="bibr">Kogevinas et al., 1994</xref>). A job-exposure matrix (JEM) was constructed for the exposure-response analysis (<xref rid="R28" ref-type="bibr">Kogevinas et al., 1994</xref>). This JEM was mainly based on styrene measurements in air collected from each country included in the cohort. Exposure metrics considered were length of exposure; cumulative exposure; time since first exposure (TSFE) and average level of exposure. With styrene production continuing apace and its proven presence in human blood (<xref rid="R6" ref-type="bibr">Brugnone et al., 1993</xref>), clarifying whether there is a causal association with cancer is important. This requires epidemiological studies that have sufficient power and follow-up time and include accurate exposure estimates in order to evaluate risks for subtypes of leukaemia and lymphoma.</p><p id="P8">With the aim of investigating the exposure-response relationship between styrene and subtypes of lymphohematopoietic and other malignancies in Europe and the US, cohorts of reinforced plastic workers from Finland, Italy and the UK included in the original European multicentre occupational cohort study (<xref rid="R28" ref-type="bibr">Kogevinas et al., 1994</xref>), the Danish cohort (<xref rid="R10" ref-type="bibr">Christensen et al., 2018</xref>) and a US cohort (<xref rid="R5" ref-type="bibr">Bertke et al., 2021</xref>) have been updated with respect to cancer incidence and mortality (<xref rid="R11" ref-type="bibr">Christensen et al., 2021</xref>). To facilitate this investigation, Job Exposure Matrices described so far for the European cohorts only, need to be extended to the US. We aim to develop an empirical exposure model based on personal styrene measurements from all countries in the pooled cohort study and, based on this model, derive quantitative estimates of average, full-shift occupational exposure to styrene for the period between 1947 and 2020. This is the period that is covered by the pooled cohort (<xref rid="R11" ref-type="bibr">Christensen et al., 2021</xref>).</p></sec><sec id="S6"><label>2.</label><title>Materials and methods</title><sec id="S7"><label>2.1.</label><title>Exposure database</title><p id="P9">We established a database of personal and area exposure measurements of styrene in air collected within the glass reinforced plastics industry. This contains 21,201 records along with contextual data recorded during measurement surveys. Data from Norway (1974&#x02013;2018), Sweden (1970&#x02013;1989), and the UK (1985&#x02013;2010) were obtained from exposure databases curated by, respectively, the Norwegian National Institute of Occupational Health (STAMI), the Swedish Work Environment Authority (Arbetsmilj&#x000f6;verket), and the Health and Safety Executive that covers England, Scotland, and Wales (<xref rid="R7" ref-type="bibr">Burns and Beaumont, 1989</xref>). Data from Denmark (1962&#x02013;2011) included data from the labour inspectorate (Danish Work Environment Authority, Arbejdstilsynet) supplemented with data obtained from several internal company surveillance programs (<xref rid="R29" ref-type="bibr">Kolstad et al., 2005</xref>). The data from the US (1978&#x02013;1999) were collected during measurement campaigns for two separate research studies (<xref rid="R14" ref-type="bibr">Crandall and Hartle, 1985</xref>; <xref rid="R42" ref-type="bibr">Serdar et al., 2006</xref>).</p><p id="P10">Exposure determinants for modelling identified <italic toggle="yes">a priori</italic> included industry, job title, production process, product, resin type, sampling method, sample type (personal or area), sampling duration, measurement date, ventilation, use of personal protective equipment (PPE), the source of the dataset and purpose of measurements (<xref rid="R20" ref-type="bibr">Geuskens et al., 1992</xref>; <xref rid="R45" ref-type="bibr">van Rooij et al., 2008</xref>; <xref rid="R42" ref-type="bibr">Serdar et al., 2006</xref>; <xref rid="R31" ref-type="bibr">Lemasters et al., 1985</xref>). The datasets were harmonised to facilitate analyses across countries. This included standardisation of names of production processes (e.g. lamination versus non-production processes), products, and industry.</p><p id="P11">We excluded all measurements from the database that had:</p><list list-type="bullet" id="L2"><list-item><p id="P12">insufficient information on production process (task) or measurement purpose,</p></list-item><list-item><p id="P13">no personal breathing zone measurements,</p></list-item><list-item><p id="P14">duration of sampling inconsistent with personal measurement (&#x0003e;720 minutes),</p></list-item><list-item><p id="P15">short sampling durations that would not be representative of full-shift exposures or likely to be associated with worst-case sampling or task-based sampling (&#x0003c;60 minutes).</p></list-item></list><p id="P16">Further details on the excluded data are provided in the <xref rid="SD1" ref-type="supplementary-material">supplementary information</xref> (<xref rid="SD1" ref-type="supplementary-material">Figure S1</xref>). Following exclusions, the final dataset comprised of 14,440 personal measurements (<xref rid="T1" ref-type="table">Table 1</xref>). Country-specific exposure trends were visualised using locally estimated scatterplot smoothing curves (LOESS) with 75% points to fit (<xref rid="R12" ref-type="bibr">Cleveland, 1979</xref>).</p><p id="P17">For the US data sets, sampling durations were not listed for each individual record. They were therefore set to 480 minutes based on the contextual information in the studies&#x02019; reports indicating that full-shift personal-breathing-zone measurements were collected (<xref rid="R42" ref-type="bibr">Serdar et al., 2006</xref>; <xref rid="R13" ref-type="bibr">Crandall, 1982</xref>). Styrene concentrations (mg/m<sup>3</sup>) were used as reported in the original datasets with no attempt to adjust to the full-shift (8-hr) time weighted average (<xref rid="R26" ref-type="bibr">Jensen et al., 1990</xref>). In order to calculate summary statistics and facilitate modelling of styrene measurement, values less than the limit of detection (LOD) (1.5% of 14,440 records) were imputed per dataset: a maximum likelihood estimate approach was used to fit a lognormal distribution to values above the LOD and, based on this distribution, extrapolated to values below the limit (<xref rid="R21" ref-type="bibr">Helsel and Cohn, 1988</xref>). Where LOD was not indicated, the lowest value of the tail end of the distribution was used in lieu of the LOD (<xref rid="R34" ref-type="bibr">Lubin et al., 2004</xref>).</p></sec><sec id="S8"><label>2.2.</label><title>Statistical model</title><p id="P18">Predictors of styrene exposure were considered from the <italic toggle="yes">a priori</italic> list if their relationships with styrene exposure had a p-value &#x0003c;0.1 in univariate analyses. However, in the final selection the importance of their relationships with styrene exposure based on expert knowledge was also considered. To come to the most parsimonious model, we used 5-fold cross validation to compare the predictive power of models with different combinations of predictors. In k-fold cross-validation, we split the dataset into k samples of equal sizes. Next, we assessed the model&#x02019;s mean-squared error (MSE) on each of this kth sample, while training the model on the k-1 remaining samples. We assessed the improvement of prediction errors by comparing their Akaike Information Criterion (AIC) scores. Marginal and conditional R<sup>2</sup> values for mixed effects models based on <xref rid="R35" ref-type="bibr">Nakagawa and Schielzeth (2013)</xref> were also calculated. The conditional R<sup>2</sup> considers both fixed and random effects while the marginal R<sup>2</sup> considers fixed effects only. We made a compromise among these model quality indicators to identify the most suitable model. An additional consideration was what data on predictors used in the model were also available in the study cohort. This was necessary to ensure that the final model selected would be suitable for use in the cohort study for which it was primarily developed.</p><p id="P19">Due to the lognormal distribution of styrene measurements, the response variable was log-transformed (base <italic toggle="yes">e</italic>). The linear mixed-effect models were fitted via restricted maximum likelihood algorithm using the lmer4 package in R (v1.1-16) (<xref rid="R3" ref-type="bibr">Bates et al., 2015</xref>; <xref rid="R39" ref-type="bibr">R Core Team, 2023</xref>). The models were of the form <inline-formula><mml:math id="M1" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="italic">log</mml:mi></mml:mrow><mml:mi>e</mml:mi></mml:msub><mml:mi>Y</mml:mi><mml:mo>=</mml:mo><mml:msub><mml:mi>&#x003b2;</mml:mi><mml:mn>0</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>&#x003b2;</mml:mi><mml:mn>1</mml:mn></mml:msub><mml:msub><mml:mi>x</mml:mi><mml:mn>1</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>&#x003b2;</mml:mi><mml:mn>2</mml:mn></mml:msub><mml:msub><mml:mi>x</mml:mi><mml:mn>2</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>&#x003b2;</mml:mi><mml:mn>3</mml:mn></mml:msub><mml:msub><mml:mi>x</mml:mi><mml:mn>3</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:mn>&#x02026;</mml:mn><mml:mo>+</mml:mo><mml:msub><mml:mi>&#x003b2;</mml:mi><mml:mi>q</mml:mi></mml:msub><mml:msub><mml:mi>x</mml:mi><mml:mi>q</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:mi mathvariant="normal">&#x003bc;</mml:mi><mml:mo>+</mml:mo><mml:mtext>&#x003b4;</mml:mtext><mml:mo>+</mml:mo><mml:mtext>&#x003b5;</mml:mtext></mml:mrow></mml:math></inline-formula>, where <inline-formula><mml:math id="M2" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="italic">log</mml:mi></mml:mrow><mml:mi>e</mml:mi></mml:msub><mml:mi>Y</mml:mi></mml:mrow></mml:math></inline-formula> is the outcome value (with Y = air styrene concentration (mg/m<sup>3</sup>)), <inline-formula><mml:math id="M3" display="inline"><mml:mrow><mml:msub><mml:mi>&#x003b2;</mml:mi><mml:mn>0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, is the intercept, <inline-formula><mml:math id="M4" display="inline"><mml:mrow><mml:msub><mml:mi>&#x003b2;</mml:mi><mml:mrow><mml:mn>1</mml:mn><mml:mo>&#x02026;</mml:mo><mml:mi>q</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> are the coefficients for the fixed effects, <inline-formula><mml:math id="M5" display="inline"><mml:mrow><mml:msub><mml:mi>x</mml:mi><mml:mrow><mml:mn>1</mml:mn><mml:mo>&#x02026;</mml:mo><mml:mi>q</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> are the values of the predictor variables, &#x003bc; is the random country effect <inline-formula><mml:math id="M6" display="inline"><mml:mrow><mml:mtext>&#x003bc;</mml:mtext><mml:mo>&#x0223c;</mml:mo><mml:mtext>N</mml:mtext><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mn>0</mml:mn><mml:mo>,</mml:mo><mml:msubsup><mml:mi>&#x003c3;</mml:mi><mml:mtext>c</mml:mtext><mml:mn>2</mml:mn></mml:msubsup></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:math></inline-formula>, &#x003b4; is the random worker effect <inline-formula><mml:math id="M7" display="inline"><mml:mrow><mml:mtext>&#x003b4;</mml:mtext><mml:mo>&#x0223c;</mml:mo><mml:mtext>N</mml:mtext><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mn>0</mml:mn><mml:mo>,</mml:mo><mml:msubsup><mml:mi>&#x003c3;</mml:mi><mml:mtext>B</mml:mtext><mml:mn>2</mml:mn></mml:msubsup></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:math></inline-formula>, and &#x003b5; is the random effect of measurements within a worker <inline-formula><mml:math id="M8" display="inline"><mml:mrow><mml:mtext>&#x003b5;</mml:mtext><mml:mo>&#x0223c;</mml:mo><mml:mtext>N</mml:mtext><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mn>0</mml:mn><mml:mo>,</mml:mo><mml:msubsup><mml:mi>&#x003c3;</mml:mi><mml:mtext>W</mml:mtext><mml:mn>2</mml:mn></mml:msubsup></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:math></inline-formula>; all random effects are mutually independent; we assumed the compound symmetry covariance structure of random effects.</p><p id="P20">Agreement between observed and fitted values and reliability of the model predictions were assessed using Lin&#x02019;s Concordance Correlation Coefficient (Lin&#x02019;s CCC). The sensitivity of the model to measurements collected prior to 1975 when measurement durations were shorter (median duration in minutes was 60 prior to 1975 vs 229 after 1975) was tested by excluding measurements collected prior to 1975. Finally, we also compared the predicted values of the best fitting model with the model that was eventually selected for constructing the exposure matrix. This selection was based on a combination of quality indicators and pragmatic considerations such as availability of data in the cohort dataset.</p></sec></sec><sec id="S9"><label>3.</label><title>Results</title><sec id="S10"><label>3.1.</label><title>Database</title><p id="P21">Our data spanned a 57-year period, from 1962 to 2018 with Denmark and Norway contributing the most complete temporal coverage spanning 40 and 49 years, respectively. Denmark and Norway contributed respectively, 26% and 32%, of the 14,440 records while each of the other three countries contributed approximately 14%. Denmark was the only country to provide measurements from the 1960s with the next earliest measurements from the 1970s, coming from Sweden and Norway. Data from the UK and the US covered mainly the 1980s and 1990s (<xref rid="T1" ref-type="table">Table 1</xref> and <xref rid="F1" ref-type="fig">Fig. 1A</xref>). Short sampling durations were typical of measurements collected in the earlier years. Most data were collected during one of the lamination steps (84%) (<xref rid="T2" ref-type="table">Table 2</xref>). There was a non-monotonic decrease in country-specific time-trends (<xref rid="F1" ref-type="fig">Fig. 1B</xref>).</p></sec><sec id="S11"><label>3.2.</label><title>Model selection</title><p id="P22">Initially, industry, process, product, country, sampling duration, reason for measurement and year of sampling were selected as predictor (<italic toggle="yes">x</italic>) variables. In the final model &#x02018;industry&#x02019; was not retained, leaving the fixed effects process, product, measurement reason, sampling duration (minutes) and year of measurement as fixed effects. The most fully parameterised model had a better fit (AIC 45169) compared with the selected model (AIC 45664). However, comparisons of predicted values of these two models showed the predictions to be comparable (<xref rid="F4" ref-type="fig">Fig. 4</xref>). Also, based on the 5-fold cross validation, values of Root Mean Square Error (RMSE) and the Mean Absolute Error (MAE) were comparable (RMSE 0.607 vs 0.608; MAE 0.420 vs 0.421) as were levels of marginal and conditional R<sup>2</sup> (<xref rid="T3" ref-type="table">Table 3</xref>).</p><p id="P23">The selected model explained 28% of the total variation in exposure (<xref rid="T3" ref-type="table">Table 3</xref>). Comparison of the full model (fixed and random effects) with the null model (random effects only) using a likelihood ratio test showed an improvement in model prediction errors with the selected predictors (<inline-formula><mml:math id="M9" display="inline"><mml:mrow><mml:msubsup><mml:mi>&#x003c7;</mml:mi><mml:mrow><mml:mn>16</mml:mn></mml:mrow><mml:mn>2</mml:mn></mml:msubsup><mml:mo>=</mml:mo><mml:mn>3603</mml:mn></mml:mrow></mml:math></inline-formula>, p &#x0003c; 0.001). The full model (random and fixed effects) explained 73% of the variation while the fixed effects explained 30% indicating that the contribution from random effects (country, workers, and unknown sources) was about 43%. Based on repeated measurements on the same worker it was clear that within-worker (day-to-day) variance contributed substantially to the total variance (53%) while between country and residual variance contributed 9% and 37%, respectively (<xref rid="T4" ref-type="table">Table 4</xref>). Residual plots did not indicate noticeable deviation from model&#x02019;s assumption of homoscedasticity (<xref rid="F2" ref-type="fig">Fig. 2</xref>). Plots of fitted versus observed values showed a strong agreement (Lin&#x02019;s CCC: 0.85 95% CI 0.84, 0.85) between the model&#x02019;s predictions and actual exposure values (<xref rid="F3" ref-type="fig">Fig. 3</xref>).</p><p id="P24">The estimated parameters of the final model are summarized in <xref rid="T4" ref-type="table">Tables 4</xref> and <xref rid="T5" ref-type="table">5</xref>. Data on a larger set of potential exposure predictors including job title, industrial sub-sector, work condition, ventilation and use of PPE were available for a little over 10% of the exposure dataset. These came mostly from the boat manufacturing industry. Due to the limited availability of data on the control measures and the fact that information on job title and industrial sub-sector were not available within most of the sub-cohorts underlying the European multicentre occupational cohort study, we did not retain these predictors in our model. However, for 53% of our data there was a clear relation between product and industrial sub-sector. When the product category was &#x02018;boats&#x02019;, the industrial sub-sector was &#x02018;manufacture and repair of boats&#x02019;. This was the case for 35% of the dataset used for modelling. Similarly, when the product was &#x02018;vehicles&#x02019; (8%) and &#x02018;construction materials&#x02019; (6%) the industrial sub-sectors were &#x02018;manufacture, repair and sale of motor vehicles&#x02019; and &#x02018;construction&#x02019;, respectively. This should have explained some of the variation covered by industrial sub-sector. Model prediction errors somewhat improved when industrial sub-sector was added (AIC from 45664 to 45169), indicating that the specific parameter &#x02018;industrial sub-sector&#x02019; potentially accounts for additional industry specific variation not encompassed in product (<xref rid="T3" ref-type="table">Table 3</xref>). Sensitivity to measurements collected prior to 1975 showed no change in direction of effects and there was minimal change in the effect sizes of the model (<xref rid="SD1" ref-type="supplementary-material">Supplementary material: sensitivity analysis</xref>).</p><p id="P25">The estimated model was used to predict the average styrene exposure for a typical worker for each product/process combination by selecting predictor values of &#x02018;routine monitoring&#x02019; (not worst-case sampling strategy) for measurement reason and &#x02018;full-shift sampling&#x02019; (i.e. 480 minutes) for sampling duration (<xref rid="FD1" ref-type="disp-formula">equation (1)</xref>). The arithmetic mean was chosen as is recommended practice for risk assessment for chemical carcinogens (<xref rid="R40" ref-type="bibr">Rappaport, 1991</xref>). Estimates of average exposure during normal working conditions were made for every year for which exposure measurements were available. Predictions of mean styrene exposure by country were made by including best linear unbiased predictors (BLUP) of random country (b<sub>c</sub>) in the calculations (<xref rid="FD2" ref-type="disp-formula">equation (2)</xref>).</p><disp-formula id="FD1">
<label>(1)</label>
<mml:math id="M10" display="block"><mml:mrow><mml:msup><mml:mi>e</mml:mi><mml:mrow><mml:msub><mml:mi>&#x003b2;</mml:mi><mml:mn>0</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>&#x003b2;</mml:mi><mml:mrow><mml:mi mathvariant="italic">ps</mml:mi></mml:mrow></mml:msub><mml:mtext>Process</mml:mtext><mml:mo>+</mml:mo><mml:msub><mml:mi>&#x003b2;</mml:mi><mml:mrow><mml:mi mathvariant="italic">pd</mml:mi></mml:mrow></mml:msub><mml:mtext>Product</mml:mtext><mml:mo>+</mml:mo><mml:msub><mml:mi>&#x003b2;</mml:mi><mml:mrow><mml:mi mathvariant="italic">mr</mml:mi></mml:mrow></mml:msub><mml:mtext>Reason</mml:mtext><mml:mo>+</mml:mo><mml:msub><mml:mi>&#x003b2;</mml:mi><mml:mrow><mml:mi mathvariant="italic">dr</mml:mi></mml:mrow></mml:msub><mml:mtext>Duration</mml:mtext><mml:mo>+</mml:mo><mml:msub><mml:mi>&#x003b2;</mml:mi><mml:mrow><mml:mi mathvariant="italic">yr</mml:mi></mml:mrow></mml:msub><mml:mtext>Year</mml:mtext><mml:mo>+</mml:mo><mml:msup><mml:mrow><mml:msub><mml:mi>&#x003c3;</mml:mi><mml:mi>w</mml:mi></mml:msub></mml:mrow><mml:mn>2</mml:mn></mml:msup><mml:mo>/</mml:mo><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>
</disp-formula><disp-formula id="FD2">
<label>(2)</label>
<mml:math id="M11" display="block"><mml:mrow><mml:msup><mml:mi>e</mml:mi><mml:mrow><mml:msub><mml:mi>&#x003b2;</mml:mi><mml:mn>0</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>&#x003b2;</mml:mi><mml:mrow><mml:mi>p</mml:mi><mml:mi>s</mml:mi></mml:mrow></mml:msub><mml:mtext>Process</mml:mtext><mml:mo>+</mml:mo><mml:msub><mml:mi>&#x003b2;</mml:mi><mml:mrow><mml:mi>p</mml:mi><mml:mi>d</mml:mi></mml:mrow></mml:msub><mml:mtext>Product</mml:mtext><mml:mo>+</mml:mo><mml:msub><mml:mi>&#x003b2;</mml:mi><mml:mrow><mml:mi>m</mml:mi><mml:mi>r</mml:mi></mml:mrow></mml:msub><mml:mtext>Reason</mml:mtext><mml:mo>+</mml:mo><mml:msub><mml:mi>&#x003b2;</mml:mi><mml:mrow><mml:mi>d</mml:mi><mml:mi>r</mml:mi></mml:mrow></mml:msub><mml:mtext>Duration</mml:mtext><mml:mo>+</mml:mo><mml:msub><mml:mi>&#x003b2;</mml:mi><mml:mrow><mml:mi>y</mml:mi><mml:mi>r</mml:mi></mml:mrow></mml:msub><mml:mtext>Year</mml:mtext><mml:mo>+</mml:mo><mml:msub><mml:mtext>b</mml:mtext><mml:mi>c</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:msup><mml:mrow><mml:msub><mml:mi>&#x003c3;</mml:mi><mml:mi>w</mml:mi></mml:msub></mml:mrow><mml:mn>2</mml:mn></mml:msup><mml:mo>/</mml:mo><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>
</disp-formula><p id="P26">These estimates were used to construct an exposure matrix where every cell represents the arithmetic mean styrene exposure during the respective process/production combinations for every year from 1947 up to 2020 (<xref rid="SD2" ref-type="supplementary-material">Supplementary table</xref> &#x02013; available upon request). Predictions of styrene exposure that fell outside the years for which we had measurement data were assumed to be the same as the estimate for the closest year of measurement. Exposures for the years 1947 up to 1961 were assigned the same estimates as for 1962 (<xref rid="R8" ref-type="bibr">Burstyn et al., 2003</xref>). Likewise, the years 2019 and 2020 were assigned the levels estimated for 2018.</p></sec><sec id="S12"><label>3.3.</label><title>Trends in styrene exposure</title><p id="P27">Based on the final model (<xref rid="T5" ref-type="table">Table 5</xref>) it was estimated that styrene exposure levels decreased annually on average by 7%, as illustrated in <xref rid="F1" ref-type="fig">Fig. 1B</xref>. Model predictions for earlier years (1962&#x02013;2000) were less accurate than for more recent years (&#x0003e;2000) with the model tending to overestimate exposure in earlier years (<xref rid="F4" ref-type="fig">Fig. 4</xref>).</p><p id="P28">The exposure levels captured by worst-case sampling during the lamination of boats, construction materials, panels, and pipes and tanks were associated with the highest exposure levels. Regarding processes, &#x02018;non-process work&#x02019; was associated with the lowest exposure relative to lamination (on average, &#x02212;70%), followed by &#x02018;area&#x02019; that refers to working in the vicinity where lamination tasks are being conducted without engaging in lamination tasks oneself (on average, &#x02212;59%). &#x02018;Other processes&#x02019; that referred to non-lamination processes were associated, on average, with half of the exposure level relative to lamination.</p><p id="P29">We estimated that there were differences in exposure levels between countries. Within European countries, the differences were greatest between Sweden and Denmark. There was little difference between the UK and the US with differences between Europe and the US/UK also present. We did not have sufficient information to investigate this further.</p></sec></sec><sec id="S13"><label>4.</label><title>Discussion</title><p id="P30">During this study, we created a predictive model based on personal exposure measurements to be used for estimating styrene exposure in an international cohort study on risks of lymphohematopoietic neoplasms, other cancers, and chronic non-malignant diseases in the European and the US glass reinforced plastics industry. The model may also be used in other styrene exposed reinforced plastics cohorts with information about product, process, and calendar year, where there is an indication of similarity in work contexts. Due to limitations imposed by new data sharing legislation (<xref rid="R19" ref-type="bibr">EU, 2016</xref>), we were unable to access all the historic styrene exposure datasets that had been used for exposure assessment in the original cohort study by <xref rid="R28" ref-type="bibr">Kogevinas et al. (1994)</xref>. However, it was possible to include additional exposure data from the US, UK and Norway resulting in this being the most comprehensive international styrene exposure assessment based on the largest number of personal exposure measurements since the 1990s. In the absence of data to perform an external validation the use of cross validation ensured selection of the most robust model.</p><p id="P31">Like our study, <xref rid="R10" ref-type="bibr">Christensen et al. (2018)</xref> reported the highest exposure levels from boat manufacturing companies. Their predictions of styrene exposure intensity were based on a linear mixed effects model at a company level with similar independent determinants to our model (i.e. main production process, main product, and decade). This is not surprising, because their data, covering the period 1970&#x02013;2011 in the Danish reinforced plastics industry, were a subset of the data used in this study (~26% of our dataset). <xref rid="R42" ref-type="bibr">Serdar et al. (2006)</xref> found that styrene exposure varied by product even when job title was restricted to laminators; we noticed the same pattern. This was true for job titles within the same industrial sub-sector as well as across industries (not shown). Consequently, depending heavily on job title might introduce error in exposure estimations.</p><p id="P32">It is difficult to ascribe the reasons for the regional differences that we observed. However, similar country and regional differences have been reported for exposure other than styrene (<xref rid="R2" ref-type="bibr">Basinas et al., 2023</xref>; <xref rid="R16" ref-type="bibr">de Vocht et al., 2006</xref>; <xref rid="R33" ref-type="bibr">Liu et al., 2011</xref>; <xref rid="R37" ref-type="bibr">Peters et al., 2011</xref>). Safety culture, workplace practices, workplace layouts and equipment vary across companies, countries, and regions (<xref rid="R18" ref-type="bibr">Deadman et al., 1996</xref>; <xref rid="R27" ref-type="bibr">Johansen et al., 2002</xref>). The GRP industry is no exception. As previously mentioned, distinct steps in processes could be assigned exclusively to specific workers in some facilities while in others, several steps might be performed by the same worker. For instance, the job title &#x02018;gel-coater&#x02019; or process &#x02018;gel-coating&#x02019; implies that this job title is associated with the distinct tasks of &#x02018;gel-coating&#x02019;. However, this is only true for some facilities. In others, the gel-coater also engaged in other steps in the lamination process. This held to a lesser extent for the job title and process &#x02018;moulder&#x02019; and &#x02018;moulding&#x02019;. Regarding differences in control measures some workplaces partitioned work areas to limit the dispersion of resin to areas not directly engaged in the process (<xref rid="R14" ref-type="bibr">Crandall and Hartle, 1985</xref>). Work practices like these required by policies of regional authorities, such as is the case across the European Union, can result in regional differences in exposure. Our results suggest that differences in exposure among European countries and regions should be considered when estimating styrene exposure in epidemiological studies, noting that based on our model the differences were more pronounced in the past, certainly before 2000 (details not shown).</p><p id="P33">We identified repeated measurements from the US and Norway but cannot rule out that there are other repeated measures in our dataset that have not been tagged as such and would have contributed to the residual (within-worker) variance rather than being decomposed into between vs within worker variances. The unidentified repeated measures would also violate the assumption of the residual independence of measurements, but it is difficult to anticipate what bias this may have produced in our predictions. It is likely that a portion of the unexplained variance in our model comes from the between-worker variance that has been attributed to personal factors such as seniority/experience, age, and casual short-term work in the GRP industry (<xref rid="R42" ref-type="bibr">Serdar et al., 2006</xref>). Another contributing source would have been the between-facility variation resulting from different work practices and control measures.</p><p id="P34">The declining time-trend that we observed is consistent with what has been observed across industries using similar modelling approaches (<xref rid="R15" ref-type="bibr">Creely et al., 2007</xref>; <xref rid="R2" ref-type="bibr">Basinas et al., 2023</xref>; <xref rid="R30" ref-type="bibr">Kromhout and Vermeulen, 2000</xref>; <xref rid="R44" ref-type="bibr">Symanski et al., 1998</xref>). The accuracy of model predictions improved over the years. This may have been due to the limited availability of data in the earlier time periods along with less consistency in operations, including regulations around control measures, across the industry. However, although in the earlier years (&#x0003c;1975) the model predicts moderately high in terms of absolute exposure values, it reliably identifies relative differences in exposure across all year. Relative differences in exposure between worker/cohort members, which is important for epidemiological analyses, would therefore been correctly assessed. Furthermore, the sensitivity analysis where those measurements were removed showed that this did not appreciably change the model outcome.</p><p id="P35">The assignment of exposure estimates from 1962 to the years prior to 1962 that were outside the applicable range of the model is a considerable gap, but in the absence of data for that time it is a plausible approach. When faced with a similar challenge of extrapolation back to times where measurements were not available, <xref rid="R17" ref-type="bibr">de Vocht et al. (2009)</xref> considered a variety of extrapolations to determine pre-data time--trends. A similar approach can also be implemented in exposure assessment that relies on our models as part of sensitivity analyses (<xref rid="R17" ref-type="bibr">de Vocht et al., 2009</xref>). There is less of an issue with the predictions for the recent period of 2019&#x02013;2020; the 2018 levels were used since there was stability in exposure trends across all countries for the second half of the 2000&#x02019;s indicating that these were the best predictions achievable. Moreover, this becomes irrelevant when applied in the cohort study since with the appropriate lagging of exposure for cancer analyses and, due to the strong decreasing trends over time, the contribution of these 2 years to the overall cumulative exposure is negligible.</p><p id="P36">Products small enough to be manufactured using machine moulds and closed processes result in lower exposures since workers do not need to be close to the source of styrene (<xref rid="R32" ref-type="bibr">Lenvik et al., 1999</xref>). When small items are manually handled in an open process, the exposure potential depends on the number of small parts being made (<xref rid="R13" ref-type="bibr">Crandall, 1982</xref>) but is likely to be low relative to the potential exposure when producing large items. Larger items such as (parts of) boats, vehicles, and panels used in construction usually involve manual processes with long periods of exposure close to the source. This, in part, explains the predictive power of product and process over job title. While there is added value in including job title where such information is available it may not appreciably increase the explained variation in multiple regression mixed models for this industry. This lends support for an approach to exposure assessment for the GRP industry that prioritises product and process over job title as predictors of exposure.</p><p id="P37">Exposure metrics that can be calculated based on the exposure matrix include, but are not limited to, cumulative exposure (mg/m<sup>3</sup>-years); average exposure (cumulative exposure/total exposure time (years)); number of (consecutive) years of exposure above thresholds. Our explicit nature of assumptions about exposure assessment captured in our mixed effects models and equations that describe how we assessed exposures created a reproducible method that enables sensitivity analyses exemplified by the work of <xref rid="R17" ref-type="bibr">de Vocht et al. (2009)</xref>. Our models also provide information about some of the imprecision entailed in such retrospective estimates within the exposure matrix and exposure metrics that result from its application to occupational histories. Understanding uncertainty in our prediction model can inform analysis of the bias that application of our exposure assessment approach can produce in epidemiologic analyses of exposure-response associations, as was done by <xref rid="R41" ref-type="bibr">Sallm&#x000e9;n et al. (2024)</xref>. Addressing systematic sources of bias that arise from complex measurement error structures should aid interpretation of risks attributed to styrene, and increase confidence in the conclusions of the epidemiologic analysis.</p></sec><sec id="S14"><label>5.</label><title>Conclusions</title><p id="P38">The styrene exposure predictions based on the statistical model described in this paper were used to construct an exposure matrix that can be used to retrospectively assess the exposure of workers in the reinforced plastics industry for the period 1947 to 2020. This may help to enhance the quality of epidemiological studies on styrene exposure and health effects.</p></sec><sec sec-type="supplementary-material" id="SM1"><title>Supplementary Material</title><supplementary-material id="SD1" position="float" content-type="local-data"><label>Supplement 1</label><media xlink:href="NIHMS2061033-supplement-Supplement_1.docx" id="d67e1058" position="anchor"/></supplementary-material><supplementary-material id="SD2" position="float" content-type="local-data"><label>Supplement 2</label><media xlink:href="NIHMS2061033-supplement-Supplement_2.xlsx" id="d67e1061" position="anchor"/></supplementary-material></sec></body><back><ack id="S15"><title>Acknowledgments</title><p id="P39">We thank Professor Stephen Rappaport for insight into styrene exposure determinants and for providing styrene exposure data from the USA under USNIH grant funding: the National Cancer Institute through grant R01CA6943 (Rappaport) and the National Institute for Environmental Health Sciences through grants T32ES07018 and P30ES10126 (Rappaport) and P42ES04696, P42ES07033, and T32ES07018 (Echeverria).</p><p id="P40">We thank Kate Jones of Health and Safety Executive, UK for providing styrene exposure data. We thank Anne Sleeuwenhoek of IOM for data curation and Stephen Rappaport and Tom Bellander for providing styrene exposure data.</p><sec id="S16"><title>Funding</title><p id="P41">The study was funded by the <ext-link xlink:href="https://www.kejfond.dk/2019-2020.php" ext-link-type="uri">Karen Elise Jensens Fund</ext-link>.</p></sec><sec id="S17"><title>Disclaimer</title><p id="P45">The findings and conclusions in this report are those of the authors and do not necessarily represent the official position of the National Institute for Occupational Safety and Health, Centers for Disease Control and Prevention.</p></sec></ack><fn-group><fn id="FN1"><p id="P42">CRediT authorship contribution statement</p><p id="P43"><bold>Yvette Christopher-de Vries:</bold> Writing &#x02013; original draft, Methodology, Formal analysis, Data curation. <bold>Igor Burstyn:</bold> Writing &#x02013; review &#x00026; editing, Methodology. <bold>Mette Wulf Christensen:</bold> Writing &#x02013; review &#x00026; editing, Data curation. <bold>Hilde Not&#x000f8;:</bold> Writing &#x02013; review &#x00026; editing, Data curation. <bold>Kurt Straif:</bold> Writing &#x02013; review &#x00026; editing. <bold>Eero Pukkala:</bold> Writing &#x02013; review &#x00026; editing. <bold>Vivi Schl&#x000fc;nssen:</bold> Writing &#x02013; review &#x00026; editing. <bold>Stephen Bertke:</bold> Writing &#x02013; review &#x00026; editing. <bold>Martie van Tongeren:</bold> Writing &#x02013; review &#x00026; editing. <bold>Henrik A. Kolstad:</bold> Writing &#x02013; review &#x00026; editing, Funding acquisition, Conceptualization. <bold>Damien McElvenny:</bold> Writing &#x02013; review &#x00026; editing, Supervision. <bold>Ioannis Basinas:</bold> Writing &#x02013; review &#x00026; editing, Methodology.</p></fn><fn fn-type="COI-statement" id="FN3"><p id="P46">Declaration of competing interest</p><p id="P47">None declared.</p></fn><fn id="FN4"><p id="P48">Appendix A. 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</mixed-citation></ref></ref-list></back><floats-group><fig position="float" id="F1"><label>Fig. 1.</label><caption><p id="P50">A. Number of measurements available for modelling by country and decade. B. Observed trends in occupational exposure to styrene (mg/m<sup>3</sup>) by country from 1962 to 2018 using Loess-smoothed curves of styrene concentrations with 95% confidence intervals in grey.</p></caption><graphic xlink:href="nihms-2061033-f0001" position="float"/></fig><fig position="float" id="F2"><label>Fig. 2.</label><caption><p id="P51">Diagnostic plots for the styrene exposure model showing: residuals in function of fitted values (top left), normal-quantile-quantile plot (top right), scale-location plot (bottom left), right -leverage plot (bottom right).</p></caption><graphic xlink:href="nihms-2061033-f0002" position="float"/></fig><fig position="float" id="F3"><label>Fig. 3.</label><caption><p id="P52">Plot of observed versus predicted styrene exposure (mg/m<sup>3</sup>). The dashed line is the 1:1 line and represents the ideal fit.</p></caption><graphic xlink:href="nihms-2061033-f0003" position="float"/></fig><fig position="float" id="F4"><label>Fig. 4.</label><caption><p id="P53">A. Overlay plot of observed versus predicted styrene exposure (mg/m<sup>3</sup>) for the selected model and the fully parameterised model. B. Predicted estimates based on the fully parameterised model and the selected model and observed styrene exposure from 1962 to 2018.</p></caption><graphic xlink:href="nihms-2061033-f0004" position="float"/></fig><table-wrap position="float" id="T1" orientation="landscape"><label>Table 1</label><caption><p id="P54">Description of the styrene measurements (mg/m<sup>3</sup>) by country and time-period.</p></caption><table frame="hsides" rules="groups"><colgroup span="1"><col align="left" valign="middle" span="1"/><col align="left" valign="middle" span="1"/><col align="left" valign="middle" span="1"/><col align="left" valign="middle" span="1"/><col align="left" valign="middle" span="1"/><col align="left" valign="middle" span="1"/><col align="left" valign="middle" span="1"/><col align="left" valign="middle" span="1"/><col align="left" valign="middle" span="1"/></colgroup><thead><tr><th rowspan="2" align="left" valign="top" colspan="1">Country/dataset</th><th rowspan="2" align="left" valign="top" colspan="1">N</th><th rowspan="2" align="left" valign="top" colspan="1">N &#x0003c; LOD</th><th rowspan="2" align="left" valign="top" colspan="1">Nr</th><th colspan="3" align="left" valign="top" rowspan="1">Styrene concentration (mg/m<sup>3</sup>)<hr/></th><th rowspan="2" align="left" valign="top" colspan="1">Duration (minutes)<break/>AM (range)</th><th rowspan="2" align="left" valign="top" colspan="1">Years</th></tr><tr><th align="left" valign="top" rowspan="1" colspan="1">AM</th><th align="left" valign="top" rowspan="1" colspan="1">GM</th><th align="left" valign="top" rowspan="1" colspan="1">GSD</th></tr></thead><tbody><tr><td align="left" valign="top" rowspan="1" colspan="1">Denmark</td><td align="left" valign="top" rowspan="1" colspan="1">3851</td><td align="left" valign="top" rowspan="1" colspan="1">14</td><td align="left" valign="top" rowspan="1" colspan="1">&#x02013;</td><td align="left" valign="top" rowspan="1" colspan="1">201</td><td align="left" valign="top" rowspan="1" colspan="1">97</td><td align="left" valign="top" rowspan="1" colspan="1">4.2</td><td align="left" valign="top" rowspan="1" colspan="1">103 (60&#x02013;540)</td><td align="left" valign="top" rowspan="1" colspan="1">1962&#x02013;2011</td></tr><tr><td align="left" valign="top" rowspan="1" colspan="1">Norway</td><td align="left" valign="top" rowspan="1" colspan="1">4649</td><td align="left" valign="top" rowspan="1" colspan="1">25</td><td align="left" valign="top" rowspan="1" colspan="1">571</td><td align="left" valign="top" rowspan="1" colspan="1">143</td><td align="left" valign="top" rowspan="1" colspan="1">65</td><td align="left" valign="top" rowspan="1" colspan="1">5.7</td><td align="left" valign="top" rowspan="1" colspan="1">335 (60&#x02013;720)</td><td align="left" valign="top" rowspan="1" colspan="1">1974&#x02013;2018</td></tr><tr><td align="left" valign="top" rowspan="1" colspan="1">Sweden</td><td align="left" valign="top" rowspan="1" colspan="1">2032</td><td align="left" valign="top" rowspan="1" colspan="1">3</td><td align="left" valign="top" rowspan="1" colspan="1">&#x02013;</td><td align="left" valign="top" rowspan="1" colspan="1">120</td><td align="left" valign="top" rowspan="1" colspan="1">66</td><td align="left" valign="top" rowspan="1" colspan="1">3.3</td><td align="left" valign="top" rowspan="1" colspan="1">158 (60&#x02013;556)</td><td align="left" valign="top" rowspan="1" colspan="1">1970&#x02013;1989</td></tr><tr><td align="left" valign="top" rowspan="1" colspan="1">United Kingdom</td><td align="left" valign="top" rowspan="1" colspan="1">2053</td><td align="left" valign="top" rowspan="1" colspan="1">6</td><td align="left" valign="top" rowspan="1" colspan="1">&#x02013;</td><td align="left" valign="top" rowspan="1" colspan="1">184</td><td align="left" valign="top" rowspan="1" colspan="1">112</td><td align="left" valign="top" rowspan="1" colspan="1">3.1</td><td align="left" valign="top" rowspan="1" colspan="1">241 (60&#x02013;605)</td><td align="left" valign="top" rowspan="1" colspan="1">1985&#x02013;2010</td></tr><tr><td align="left" valign="top" rowspan="1" colspan="1">United States 1</td><td align="left" valign="top" rowspan="1" colspan="1">464</td><td align="left" valign="top" rowspan="1" colspan="1">0</td><td align="left" valign="top" rowspan="1" colspan="1">&#x02013;</td><td align="left" valign="top" rowspan="1" colspan="1">270</td><td align="left" valign="top" rowspan="1" colspan="1">218</td><td align="left" valign="top" rowspan="1" colspan="1">2.0</td><td align="left" valign="top" rowspan="1" colspan="1">480 (480 - 480)</td><td align="left" valign="top" rowspan="1" colspan="1">1978</td></tr><tr><td align="left" valign="top" rowspan="1" colspan="1">United States 2</td><td align="left" valign="top" rowspan="1" colspan="1">1391</td><td align="left" valign="top" rowspan="1" colspan="1">141</td><td align="left" valign="top" rowspan="1" colspan="1">254</td><td align="left" valign="top" rowspan="1" colspan="1">86</td><td align="left" valign="top" rowspan="1" colspan="1">32</td><td align="left" valign="top" rowspan="1" colspan="1">5.6</td><td align="left" valign="top" rowspan="1" colspan="1">480 (480 - 480)</td><td align="left" valign="top" rowspan="1" colspan="1">1996&#x02013;1999</td></tr><tr><td align="left" valign="top" rowspan="1" colspan="1">All</td><td align="left" valign="top" rowspan="1" colspan="1">14440</td><td align="left" valign="top" rowspan="1" colspan="1">189</td><td align="left" valign="top" rowspan="1" colspan="1">825</td><td align="left" valign="top" rowspan="1" colspan="1">160</td><td align="left" valign="top" rowspan="1" colspan="1">76</td><td align="left" valign="top" rowspan="1" colspan="1">4.6</td><td align="left" valign="top" rowspan="1" colspan="1">250 (60&#x02013;720)</td><td align="left" valign="top" rowspan="1" colspan="1">1962&#x02013;2018</td></tr></tbody></table><table-wrap-foot><fn id="TFN1"><p id="P55">N &#x02013; number of measurements; LOD - limit of detection; Nr - number of repeated measurements on workers; AM &#x02013; Arithmetic mean; GM &#x02013; Geometric mean; GSD &#x02013; Geometric standard deviation.</p></fn></table-wrap-foot></table-wrap><table-wrap position="float" id="T2"><label>Table 2</label><caption><p id="P56">Styrene air exposure measurements used for statistical modelling.</p></caption><table frame="hsides" rules="none"><colgroup span="1"><col align="left" valign="middle" span="1"/><col align="left" valign="middle" span="1"/><col align="left" valign="middle" span="1"/></colgroup><thead><tr><th align="left" valign="top" rowspan="1" colspan="1">Model parameters</th><th align="left" valign="top" rowspan="1" colspan="1"/><th align="left" valign="top" rowspan="1" colspan="1"/></tr><tr><th colspan="3" align="left" valign="top" rowspan="1">
<hr/>
</th></tr><tr><th align="left" valign="top" rowspan="1" colspan="1">Categorical predictors</th><th align="left" valign="top" rowspan="1" colspan="1">Number</th><th align="left" valign="top" rowspan="1" colspan="1">%</th></tr></thead><tbody><tr><td align="left" valign="top" rowspan="1" colspan="1">
<bold>Process</bold>
</td><td align="left" valign="top" rowspan="1" colspan="1"/><td align="left" valign="top" rowspan="1" colspan="1"/></tr><tr><td align="left" valign="top" rowspan="1" colspan="1">Lamination</td><td align="left" valign="top" rowspan="1" colspan="1">12185</td><td align="left" valign="top" rowspan="1" colspan="1">84</td></tr><tr><td align="left" valign="top" rowspan="1" colspan="1">Other production processes</td><td align="left" valign="top" rowspan="1" colspan="1">1272</td><td align="left" valign="top" rowspan="1" colspan="1">9</td></tr><tr><td align="left" valign="top" rowspan="1" colspan="1">Non-process work</td><td align="left" valign="top" rowspan="1" colspan="1">797</td><td align="left" valign="top" rowspan="1" colspan="1">6</td></tr><tr><td align="left" valign="top" rowspan="1" colspan="1">Area</td><td align="left" valign="top" rowspan="1" colspan="1">186</td><td align="left" valign="top" rowspan="1" colspan="1">1</td></tr><tr><td align="left" valign="top" rowspan="1" colspan="1">
<bold>Product</bold>
</td><td align="left" valign="top" rowspan="1" colspan="1"/><td align="left" valign="top" rowspan="1" colspan="1"/></tr><tr><td align="left" valign="top" rowspan="1" colspan="1">Boats</td><td align="left" valign="top" rowspan="1" colspan="1">5036</td><td align="left" valign="top" rowspan="1" colspan="1">35</td></tr><tr><td align="left" valign="top" rowspan="1" colspan="1">Construction materials</td><td align="left" valign="top" rowspan="1" colspan="1">636</td><td align="left" valign="top" rowspan="1" colspan="1">4</td></tr><tr><td align="left" valign="top" rowspan="1" colspan="1">Containers</td><td align="left" valign="top" rowspan="1" colspan="1">594</td><td align="left" valign="top" rowspan="1" colspan="1">4</td></tr><tr><td align="left" valign="top" rowspan="1" colspan="1">Large parts</td><td align="left" valign="top" rowspan="1" colspan="1">3206</td><td align="left" valign="top" rowspan="1" colspan="1">22</td></tr><tr><td align="left" valign="top" rowspan="1" colspan="1">Mixed products</td><td align="left" valign="top" rowspan="1" colspan="1">785</td><td align="left" valign="top" rowspan="1" colspan="1">5</td></tr><tr><td align="left" valign="top" rowspan="1" colspan="1">Panels</td><td align="left" valign="top" rowspan="1" colspan="1">359</td><td align="left" valign="top" rowspan="1" colspan="1">2</td></tr><tr><td align="left" valign="top" rowspan="1" colspan="1">Pipes and tanks</td><td align="left" valign="top" rowspan="1" colspan="1">102</td><td align="left" valign="top" rowspan="1" colspan="1">1</td></tr><tr><td align="left" valign="top" rowspan="1" colspan="1">Small parts</td><td align="left" valign="top" rowspan="1" colspan="1">471</td><td align="left" valign="top" rowspan="1" colspan="1">3</td></tr><tr><td align="left" valign="top" rowspan="1" colspan="1">Unknown plastic products</td><td align="left" valign="top" rowspan="1" colspan="1">2103</td><td align="left" valign="top" rowspan="1" colspan="1">15</td></tr><tr><td align="left" valign="top" rowspan="1" colspan="1">Vehicles</td><td align="left" valign="top" rowspan="1" colspan="1">1148</td><td align="left" valign="top" rowspan="1" colspan="1">8</td></tr><tr><td align="left" valign="top" rowspan="1" colspan="1">
<bold>Reason for measurement</bold>
<sup>
<xref rid="TFN2" ref-type="table-fn">a</xref>
</sup>
</td><td align="left" valign="top" rowspan="1" colspan="1"/><td align="left" valign="top" rowspan="1" colspan="1"/></tr><tr><td align="left" valign="top" rowspan="1" colspan="1">Routine monitoring</td><td align="left" valign="top" rowspan="1" colspan="1">5950</td><td align="left" valign="top" rowspan="1" colspan="1">41</td></tr><tr><td align="left" valign="top" rowspan="1" colspan="1">Worst-case</td><td align="left" valign="top" rowspan="1" colspan="1">8171</td><td align="left" valign="top" rowspan="1" colspan="1">57</td></tr><tr><td align="left" valign="top" rowspan="1" colspan="1">Unknown</td><td align="left" valign="top" rowspan="1" colspan="1">319</td><td align="left" valign="top" rowspan="1" colspan="1">2</td></tr><tr><td align="left" valign="top" rowspan="1" colspan="1">
<bold>Country</bold>
</td><td align="left" valign="top" rowspan="1" colspan="1"/><td align="left" valign="top" rowspan="1" colspan="1"/></tr><tr><td align="left" valign="top" rowspan="1" colspan="1">Denmark</td><td align="left" valign="top" rowspan="1" colspan="1">3851</td><td align="left" valign="top" rowspan="1" colspan="1">27</td></tr><tr><td align="left" valign="top" rowspan="1" colspan="1">Norway</td><td align="left" valign="top" rowspan="1" colspan="1">4649</td><td align="left" valign="top" rowspan="1" colspan="1">32</td></tr><tr><td align="left" valign="top" rowspan="1" colspan="1">Sweden</td><td align="left" valign="top" rowspan="1" colspan="1">2032</td><td align="left" valign="top" rowspan="1" colspan="1">14</td></tr><tr><td align="left" valign="top" rowspan="1" colspan="1">UK</td><td align="left" valign="top" rowspan="1" colspan="1">2053</td><td align="left" valign="top" rowspan="1" colspan="1">14</td></tr><tr><td align="left" valign="top" rowspan="1" colspan="1">USA</td><td align="left" valign="top" rowspan="1" colspan="1">1855</td><td align="left" valign="top" rowspan="1" colspan="1">13</td></tr></tbody><tbody><tr><th align="left" valign="top" rowspan="1" colspan="1">Continuous predictors</th><th align="left" valign="top" rowspan="1" colspan="1">Median (standard deviation)</th><th align="left" valign="top" rowspan="1" colspan="1">Range</th></tr><tr><td align="left" valign="top" rowspan="1" colspan="1">
<bold>Year of measurement</bold>
</td><td align="left" valign="top" rowspan="1" colspan="1">1985 (9.5)</td><td align="left" valign="top" rowspan="1" colspan="1">1962&#x02013;2018</td></tr><tr><td align="left" valign="top" rowspan="1" colspan="1"><bold>Duration of measurements</bold>
<bold>(minutes)</bold></td><td align="left" valign="top" rowspan="1" colspan="1">210 (167)</td><td align="left" valign="top" rowspan="1" colspan="1">60&#x02013;720</td></tr></tbody></table><table-wrap-foot><fn id="TFN2"><label>a</label><p id="P57">worst-case &#x02013; inspection in response to an event; routine monitoring &#x02013; for benchmarking purposes or research investigating exposure during normal working conditions.</p></fn></table-wrap-foot></table-wrap><table-wrap position="float" id="T3"><label>Table 3</label><caption><p id="P58">Model performance indicators used to inform model selection.</p></caption><table frame="hsides" rules="groups"><colgroup span="1"><col align="left" valign="middle" span="1"/><col align="left" valign="middle" span="1"/><col align="left" valign="middle" span="1"/><col align="left" valign="middle" span="1"/><col align="left" valign="middle" span="1"/><col align="left" valign="middle" span="1"/></colgroup><thead><tr><th rowspan="2" align="left" valign="top" colspan="1"/><th rowspan="2" align="left" valign="top" colspan="1">AIC</th><th colspan="2" align="left" valign="top" rowspan="1">5-fold cross validation<hr/></th><th colspan="2" align="left" valign="top" rowspan="1">R<sup>2</sup><hr/></th></tr><tr><th align="left" valign="top" rowspan="1" colspan="1">RMSE</th><th align="left" valign="top" rowspan="1" colspan="1">MAE</th><th align="left" valign="top" rowspan="1" colspan="1">con-R<sup>2</sup></th><th align="left" valign="top" rowspan="1" colspan="1">mar-R<sup>2</sup></th></tr></thead><tbody><tr><td align="left" valign="top" rowspan="1" colspan="1">null model 1 &#x02013; country</td><td align="left" valign="top" rowspan="1" colspan="1">52961</td><td align="left" valign="top" rowspan="1" colspan="1">1.507</td><td align="left" valign="top" rowspan="1" colspan="1">1.113</td><td align="left" valign="top" rowspan="1" colspan="1">0.036</td><td align="left" valign="top" rowspan="1" colspan="1">0.000</td></tr><tr><td align="left" valign="top" rowspan="1" colspan="1">null model 2 &#x02013; country, participant</td><td align="left" valign="top" rowspan="1" colspan="1">49223</td><td align="left" valign="top" rowspan="1" colspan="1">1.326</td><td align="left" valign="top" rowspan="1" colspan="1">0.368</td><td align="left" valign="top" rowspan="1" colspan="1">0.740</td><td align="left" valign="top" rowspan="1" colspan="1">0.000</td></tr><tr><td align="left" valign="top" rowspan="1" colspan="1">null model 2</td><td align="left" valign="top" rowspan="1" colspan="1"/><td align="left" valign="top" rowspan="1" colspan="1"/><td align="left" valign="top" rowspan="1" colspan="1"/><td align="left" valign="top" rowspan="1" colspan="1"/><td align="left" valign="top" rowspan="1" colspan="1"/></tr><tr><td align="left" valign="top" rowspan="1" colspan="1">&#x02003;+ year</td><td align="left" valign="top" rowspan="1" colspan="1">46580</td><td align="left" valign="top" rowspan="1" colspan="1">1.200</td><td align="left" valign="top" rowspan="1" colspan="1">0.397</td><td align="left" valign="top" rowspan="1" colspan="1">0.754</td><td align="left" valign="top" rowspan="1" colspan="1">0.207</td></tr><tr><td align="left" valign="top" rowspan="1" colspan="1">&#x02003;+ year, sampling duration</td><td align="left" valign="top" rowspan="1" colspan="1">46576</td><td align="left" valign="top" rowspan="1" colspan="1">1.199</td><td align="left" valign="top" rowspan="1" colspan="1">0.400</td><td align="left" valign="top" rowspan="1" colspan="1">0.756</td><td align="left" valign="top" rowspan="1" colspan="1">0.214</td></tr><tr><td align="left" valign="top" rowspan="1" colspan="1">&#x02003;+ year, sampling duration, product,</td><td align="left" valign="top" rowspan="1" colspan="1">46510</td><td align="left" valign="top" rowspan="1" colspan="1">1.193</td><td align="left" valign="top" rowspan="1" colspan="1">0.397</td><td align="left" valign="top" rowspan="1" colspan="1">0.759</td><td align="left" valign="top" rowspan="1" colspan="1">0.220</td></tr><tr><td align="left" valign="top" rowspan="1" colspan="1">&#x02003;+ year, sampling duration, product, process</td><td align="left" valign="top" rowspan="1" colspan="1">45778</td><td align="left" valign="top" rowspan="1" colspan="1">1.157</td><td align="left" valign="top" rowspan="1" colspan="1">0.419</td><td align="left" valign="top" rowspan="1" colspan="1">0.750</td><td align="left" valign="top" rowspan="1" colspan="1">0.270</td></tr><tr><td align="left" valign="top" rowspan="1" colspan="1">&#x02003;<bold>+ year, sampling duration, product, process, measurement reason</bold><sup><xref rid="TFN3" ref-type="table-fn">a</xref></sup></td><td align="left" valign="top" rowspan="1" colspan="1">
<bold>45664</bold>
</td><td align="left" valign="top" rowspan="1" colspan="1">
<bold>0.607</bold>
</td><td align="left" valign="top" rowspan="1" colspan="1">
<bold>0.420</bold>
</td><td align="left" valign="top" rowspan="1" colspan="1">
<bold>0.734</bold>
</td><td align="left" valign="top" rowspan="1" colspan="1">
<bold>0.281</bold>
</td></tr><tr><td align="left" valign="top" rowspan="1" colspan="1">&#x02003;+ year, sampling duration, industry, process, measurement reason</td><td align="left" valign="top" rowspan="1" colspan="1">45280</td><td align="left" valign="top" rowspan="1" colspan="1">0.607</td><td align="left" valign="top" rowspan="1" colspan="1">0.420</td><td align="left" valign="top" rowspan="1" colspan="1">0.728</td><td align="left" valign="top" rowspan="1" colspan="1">0.295</td></tr><tr><td align="left" valign="top" rowspan="1" colspan="1">&#x02003;+ year, sampling duration, product, process, measurement reason, industry</td><td align="left" valign="top" rowspan="1" colspan="1">45169</td><td align="left" valign="top" rowspan="1" colspan="1">0.608</td><td align="left" valign="top" rowspan="1" colspan="1">0.421</td><td align="left" valign="top" rowspan="1" colspan="1">0.731</td><td align="left" valign="top" rowspan="1" colspan="1">0.302</td></tr></tbody></table><table-wrap-foot><fn id="TFN3"><label>a</label><p id="P59">Chosen model based on quality indicators and pragmatic considerations (availability of data in cohort); AIC &#x02013; Akaike Information Criterion; RMSE &#x02013; root mean square error; MAE &#x02013; Mean absolute error; con-R<sup>2</sup> &#x02013; conditional R<sup>2</sup> (considers variance of fixed + random effects); mar-R<sup>2</sup> &#x02013; marginal R<sup>2</sup> (considers variance of random effects only).</p></fn></table-wrap-foot></table-wrap><table-wrap position="float" id="T4"><label>Table 4</label><caption><p id="P60">Variance components for the null versus the final (full) models.</p></caption><table frame="hsides" rules="none"><colgroup span="1"><col align="left" valign="middle" span="1"/><col align="left" valign="middle" span="1"/><col align="left" valign="middle" span="1"/><col align="left" valign="middle" span="1"/><col align="left" valign="middle" span="1"/></colgroup><thead><tr><th align="left" valign="top" rowspan="1" colspan="1">Variance component</th><th colspan="2" align="left" valign="top" rowspan="1">Null model</th><th colspan="2" align="left" valign="top" rowspan="1">Full model</th></tr><tr><th colspan="5" align="left" valign="top" rowspan="1">
<hr/>
</th></tr><tr><th align="left" valign="top" rowspan="1" colspan="1">Variance components</th><th align="left" valign="top" rowspan="1" colspan="1">Variance (%)</th><th align="left" valign="top" rowspan="1" colspan="1">95% CI</th><th align="left" valign="top" rowspan="1" colspan="1">Variance (%)</th><th align="left" valign="top" rowspan="1" colspan="1">95% CI</th></tr></thead><tbody><tr><td align="left" valign="top" rowspan="1" colspan="1">Between countries</td><td align="left" valign="top" rowspan="1" colspan="1">0.17 (7)</td><td align="left" valign="top" rowspan="1" colspan="1">[0.05, 0.66]</td><td align="left" valign="top" rowspan="1" colspan="1">0.17 (9)</td><td align="left" valign="top" rowspan="1" colspan="1">[0.04, 0.66]</td></tr><tr><td align="left" valign="top" rowspan="1" colspan="1">Between workers</td><td align="left" valign="top" rowspan="1" colspan="1">1.65 (67)</td><td align="left" valign="top" rowspan="1" colspan="1">[1.59, 1.72]</td><td align="left" valign="top" rowspan="1" colspan="1">0.96 (53)</td><td align="left" valign="top" rowspan="1" colspan="1">[0.91, 1.01]</td></tr><tr><td align="left" valign="top" rowspan="1" colspan="1">Within worker</td><td align="left" valign="top" rowspan="1" colspan="1">0.64 (26)</td><td align="left" valign="top" rowspan="1" colspan="1">[0.61, 0.67]</td><td align="left" valign="top" rowspan="1" colspan="1">0.67 (37)</td><td align="left" valign="top" rowspan="1" colspan="1">[0.64, 0.69]</td></tr></tbody></table><table-wrap-foot><fn id="TFN4"><p id="P61">CI &#x02013; confidence interval.</p></fn></table-wrap-foot></table-wrap><table-wrap position="float" id="T5"><label>Table 5</label><caption><p id="P62">Linear mixed effects model parameters for full shift GM personal exposure to styrene in air (ln(mg/m<sup>3</sup>)).</p></caption><table frame="hsides" rules="none"><colgroup span="1"><col align="left" valign="middle" span="1"/><col align="left" valign="middle" span="1"/><col align="left" valign="middle" span="1"/><col align="left" valign="middle" span="1"/></colgroup><thead><tr><th align="left" valign="top" rowspan="1" colspan="1"/><th align="left" valign="top" rowspan="1" colspan="1">Estimate</th><th align="left" valign="top" rowspan="1" colspan="1">95% CI</th><th align="left" valign="top" rowspan="1" colspan="1">GMR</th></tr><tr><th colspan="4" align="left" valign="top" rowspan="1">
<hr/>
</th></tr></thead><tbody><tr><td align="left" valign="top" rowspan="1" colspan="1">
<italic toggle="yes">Fixed effects</italic>
</td><td align="left" valign="top" rowspan="1" colspan="1"/><td align="left" valign="top" rowspan="1" colspan="1"/><td align="left" valign="top" rowspan="1" colspan="1"/></tr><tr><td align="left" valign="top" rowspan="1" colspan="1">(Intercept)</td><td align="left" valign="top" rowspan="1" colspan="1">137.97</td><td align="left" valign="top" rowspan="1" colspan="1">[132.16, 143.77]</td><td align="left" valign="top" rowspan="1" colspan="1"/></tr><tr><td align="left" valign="top" rowspan="1" colspan="1">Duration (mins)</td><td align="left" valign="top" rowspan="1" colspan="1">&#x02212;0.0049</td><td align="left" valign="top" rowspan="1" colspan="1">[&#x02212;0.00069, &#x02212;0.0003]</td><td align="left" valign="top" rowspan="1" colspan="1">1.00</td></tr><tr><td align="left" valign="top" rowspan="1" colspan="1">Year</td><td align="left" valign="top" rowspan="1" colspan="1">&#x02212;0.067</td><td align="left" valign="top" rowspan="1" colspan="1">[&#x02212;0.07, &#x02212;0.06]</td><td align="left" valign="top" rowspan="1" colspan="1">0.94</td></tr><tr><td align="left" valign="top" rowspan="1" colspan="1">Product</td><td align="left" valign="top" rowspan="1" colspan="1"/><td align="left" valign="top" rowspan="1" colspan="1"/><td align="left" valign="top" rowspan="1" colspan="1"/></tr><tr><td align="left" valign="top" rowspan="1" colspan="1">construction materials</td><td align="left" valign="top" rowspan="1" colspan="1">0.10</td><td align="left" valign="top" rowspan="1" colspan="1">[&#x02212;0.03, 0.22]</td><td align="left" valign="top" rowspan="1" colspan="1">0.90</td></tr><tr><td align="left" valign="top" rowspan="1" colspan="1">containers</td><td align="left" valign="top" rowspan="1" colspan="1">&#x02212;0.34</td><td align="left" valign="top" rowspan="1" colspan="1">[&#x02212;0.47, &#x02212;0.21]</td><td align="left" valign="top" rowspan="1" colspan="1">0.71</td></tr><tr><td align="left" valign="top" rowspan="1" colspan="1">large parts</td><td align="left" valign="top" rowspan="1" colspan="1">&#x02212;0.08</td><td align="left" valign="top" rowspan="1" colspan="1">[&#x02212;0.16, 0.0038]</td><td align="left" valign="top" rowspan="1" colspan="1">0.92</td></tr><tr><td align="left" valign="top" rowspan="1" colspan="1">mixed products</td><td align="left" valign="top" rowspan="1" colspan="1">&#x02212;0.49</td><td align="left" valign="top" rowspan="1" colspan="1">[&#x02212;0.6, &#x02212;0.38]</td><td align="left" valign="top" rowspan="1" colspan="1">0.61</td></tr><tr><td align="left" valign="top" rowspan="1" colspan="1">panels</td><td align="left" valign="top" rowspan="1" colspan="1">&#x02212;0.26</td><td align="left" valign="top" rowspan="1" colspan="1">[&#x02212;0.41, &#x02212;0.12]</td><td align="left" valign="top" rowspan="1" colspan="1">1.03</td></tr><tr><td align="left" valign="top" rowspan="1" colspan="1">pipes and tanks</td><td align="left" valign="top" rowspan="1" colspan="1">0.22</td><td align="left" valign="top" rowspan="1" colspan="1">[&#x02212;0.04, 0.48]</td><td align="left" valign="top" rowspan="1" colspan="1">1.25</td></tr><tr><td align="left" valign="top" rowspan="1" colspan="1">small parts</td><td align="left" valign="top" rowspan="1" colspan="1">&#x02212;0.34</td><td align="left" valign="top" rowspan="1" colspan="1">[&#x02212;0.49, &#x02212;0.18]</td><td align="left" valign="top" rowspan="1" colspan="1">0.71</td></tr><tr><td align="left" valign="top" rowspan="1" colspan="1">unknown products</td><td align="left" valign="top" rowspan="1" colspan="1">&#x02212;0.22</td><td align="left" valign="top" rowspan="1" colspan="1">[&#x02212;0.3, &#x02212;0.13]</td><td align="left" valign="top" rowspan="1" colspan="1">0.80</td></tr><tr><td align="left" valign="top" rowspan="1" colspan="1">vehicles</td><td align="left" valign="top" rowspan="1" colspan="1">&#x02212;0.12</td><td align="left" valign="top" rowspan="1" colspan="1">[&#x02212;0.23, 0.0019]</td><td align="left" valign="top" rowspan="1" colspan="1">0.89</td></tr><tr><td align="left" valign="top" rowspan="1" colspan="1">boats</td><td align="left" valign="top" rowspan="1" colspan="1">reference</td><td align="left" valign="top" rowspan="1" colspan="1"/><td align="left" valign="top" rowspan="1" colspan="1">1</td></tr><tr><td align="left" valign="top" rowspan="1" colspan="1">Process</td><td align="left" valign="top" rowspan="1" colspan="1"/><td align="left" valign="top" rowspan="1" colspan="1"/><td align="left" valign="top" rowspan="1" colspan="1"/></tr><tr><td align="left" valign="top" rowspan="1" colspan="1">other production processes</td><td align="left" valign="top" rowspan="1" colspan="1">&#x02212;0.72</td><td align="left" valign="top" rowspan="1" colspan="1">[&#x02212;0.80, &#x02212;0.63]</td><td align="left" valign="top" rowspan="1" colspan="1">0.49</td></tr><tr><td align="left" valign="top" rowspan="1" colspan="1">non-process work</td><td align="left" valign="top" rowspan="1" colspan="1">&#x02212;1.22</td><td align="left" valign="top" rowspan="1" colspan="1">[&#x02212;1.31, &#x02212;1.11]</td><td align="left" valign="top" rowspan="1" colspan="1">0.30</td></tr><tr><td align="left" valign="top" rowspan="1" colspan="1">area</td><td align="left" valign="top" rowspan="1" colspan="1">&#x02212;0.91</td><td align="left" valign="top" rowspan="1" colspan="1">[&#x02212;1.11, &#x02212;0.71]</td><td align="left" valign="top" rowspan="1" colspan="1">0.40</td></tr><tr><td align="left" valign="top" rowspan="1" colspan="1">lamination</td><td align="left" valign="top" rowspan="1" colspan="1">reference</td><td align="left" valign="top" rowspan="1" colspan="1"/><td align="left" valign="top" rowspan="1" colspan="1">1</td></tr><tr><td align="left" valign="top" rowspan="1" colspan="1">Measurement reason</td><td align="left" valign="top" rowspan="1" colspan="1"/><td align="left" valign="top" rowspan="1" colspan="1"/><td align="left" valign="top" rowspan="1" colspan="1">1.00</td></tr><tr><td align="left" valign="top" rowspan="1" colspan="1">reactive</td><td align="left" valign="top" rowspan="1" colspan="1">0.25</td><td align="left" valign="top" rowspan="1" colspan="1">[0.16, 0.35]</td><td align="left" valign="top" rowspan="1" colspan="1">1.28</td></tr><tr><td align="left" valign="top" rowspan="1" colspan="1">unknown</td><td align="left" valign="top" rowspan="1" colspan="1">&#x02212;0.24</td><td align="left" valign="top" rowspan="1" colspan="1">[&#x02212;0.44, &#x02212;0.07]</td><td align="left" valign="top" rowspan="1" colspan="1">0.79</td></tr><tr><td align="left" valign="top" rowspan="1" colspan="1">non-reactive</td><td align="left" valign="top" rowspan="1" colspan="1">reference</td><td align="left" valign="top" rowspan="1" colspan="1"/><td align="left" valign="top" rowspan="1" colspan="1">1</td></tr><tr><td align="left" valign="top" rowspan="1" colspan="1">
<italic toggle="yes">Random effects</italic>
</td><td align="left" valign="top" rowspan="1" colspan="1"/><td align="left" valign="top" rowspan="1" colspan="1"/><td align="left" valign="top" rowspan="1" colspan="1"/></tr></tbody><tbody><tr><th align="left" valign="top" rowspan="1" colspan="1">Country</th><th align="left" valign="top" rowspan="1" colspan="1">BLUP</th><th align="left" valign="top" rowspan="1" colspan="1"/><th align="left" valign="top" rowspan="1" colspan="1">GMR</th></tr><tr><td align="left" valign="top" rowspan="1" colspan="1">Denmark</td><td align="left" valign="top" rowspan="1" colspan="1">&#x02212;0.09</td><td align="left" valign="top" rowspan="1" colspan="1"/><td align="left" valign="top" rowspan="1" colspan="1">1.03</td></tr><tr><td align="left" valign="top" rowspan="1" colspan="1">Norway</td><td align="left" valign="top" rowspan="1" colspan="1">&#x02212;0.19</td><td align="left" valign="top" rowspan="1" colspan="1"/><td align="left" valign="top" rowspan="1" colspan="1">0.82</td></tr><tr><td align="left" valign="top" rowspan="1" colspan="1">Sweden</td><td align="left" valign="top" rowspan="1" colspan="1">&#x02212;0.54</td><td align="left" valign="top" rowspan="1" colspan="1"/><td align="left" valign="top" rowspan="1" colspan="1">0.46</td></tr><tr><td align="left" valign="top" rowspan="1" colspan="1">UK</td><td align="left" valign="top" rowspan="1" colspan="1">0.41</td><td align="left" valign="top" rowspan="1" colspan="1"/><td align="left" valign="top" rowspan="1" colspan="1">1.77</td></tr><tr><td align="left" valign="top" rowspan="1" colspan="1">USA</td><td align="left" valign="top" rowspan="1" colspan="1">0.42</td><td align="left" valign="top" rowspan="1" colspan="1"/><td align="left" valign="top" rowspan="1" colspan="1">1.77</td></tr></tbody></table><table-wrap-foot><fn id="TFN5"><p id="P63">CI &#x02013; confidence interval; GMR &#x02013; geometric mean ratio = exp(Estimate); BLUP &#x02013; best linear unbiased predictor (b<italic toggle="yes">C</italic> in <xref rid="FD2" ref-type="disp-formula">equation (2)</xref>).</p></fn></table-wrap-foot></table-wrap></floats-group></article>