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<article xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" article-type="research-article"><?properties manuscript?><front><journal-meta><journal-id journal-id-type="nlm-journal-id">0147621</journal-id><journal-id journal-id-type="pubmed-jr-id">3548</journal-id><journal-id journal-id-type="nlm-ta">Environ Res</journal-id><journal-id journal-id-type="iso-abbrev">Environ. Res.</journal-id><journal-title-group><journal-title>Environmental research</journal-title></journal-title-group><issn pub-type="ppub">0013-9351</issn><issn pub-type="epub">1096-0953</issn></journal-meta><article-meta><article-id pub-id-type="pmid">28759881</article-id><article-id pub-id-type="pmc">5570541</article-id><article-id pub-id-type="doi">10.1016/j.envres.2017.07.026</article-id><article-id pub-id-type="manuscript">NIHMS896378</article-id><article-categories><subj-group subj-group-type="heading"><subject>Article</subject></subj-group></article-categories><title-group><article-title>Prenatal Particulate Air Pollution Exposure and Body Composition in Urban Preschool Children: Examining Sensitive Windows and Sex-specific Associations</article-title></title-group><contrib-group><contrib contrib-type="author"><name><surname>Chiu</surname><given-names>Yueh-Hsiu Mathilda</given-names></name><xref ref-type="aff" rid="A1">a</xref><xref ref-type="aff" rid="A2">b</xref></contrib><contrib contrib-type="author"><name><surname>Hsu</surname><given-names>Hsiao-Hsien Leon</given-names></name><xref ref-type="aff" rid="A1">a</xref></contrib><contrib contrib-type="author"><name><surname>Wilson</surname><given-names>Ander</given-names></name><xref ref-type="aff" rid="A3">c</xref></contrib><contrib contrib-type="author"><name><surname>Coull</surname><given-names>Brent A.</given-names></name><xref ref-type="aff" rid="A4">d</xref><xref ref-type="aff" rid="A5">e</xref></contrib><contrib contrib-type="author"><name><surname>Pendo</surname><given-names>Mathew P.</given-names></name><xref ref-type="aff" rid="A6">f</xref></contrib><contrib contrib-type="author"><name><surname>Baccarelli</surname><given-names>Andrea</given-names></name><xref ref-type="aff" rid="A7">g</xref></contrib><contrib contrib-type="author"><name><surname>Kloog</surname><given-names>Itai</given-names></name><xref ref-type="aff" rid="A8">h</xref></contrib><contrib contrib-type="author"><name><surname>Schwartz</surname><given-names>Joel</given-names></name><xref ref-type="aff" rid="A5">e</xref></contrib><contrib contrib-type="author"><name><surname>Wright</surname><given-names>Robert O.</given-names></name><xref ref-type="aff" rid="A1">a</xref><xref ref-type="aff" rid="A9">i</xref></contrib><contrib contrib-type="author"><name><surname>Taveras</surname><given-names>Elsie</given-names></name><xref ref-type="aff" rid="A10">j</xref><xref ref-type="aff" rid="A11">k</xref><xref rid="FN1" ref-type="author-notes">1</xref></contrib><contrib contrib-type="author"><name><surname>Wright</surname><given-names>Rosalind J.</given-names></name><xref ref-type="aff" rid="A1">a</xref><xref ref-type="aff" rid="A2">b</xref><xref ref-type="aff" rid="A9">i</xref><xref rid="FN1" ref-type="author-notes">1</xref></contrib></contrib-group><aff id="A1">
<label>a</label>Department of Environmental Medicine and Public Health, Icahn School of Medicine at Mount Sinai, New York, NY, USA</aff><aff id="A2">
<label>b</label>Kravis Children&#x02019;s Hospital, Department of Pediatrics, Icahn School of Medicine at Mount Sinai, New York, NY, USA</aff><aff id="A3">
<label>c</label>Department of Statistics, Colorado State University, Fort Collins, CO, USA</aff><aff id="A4">
<label>d</label>Department of Biostatistics, Harvard T.H. Chan School of Public Health, Boston, MA, USA</aff><aff id="A5">
<label>e</label>Department of Environmental Health, Harvard T.H. Chan School of Public Health, Boston, MA, USA</aff><aff id="A6">
<label>f</label>Center for Medicine, Health and Society, Vanderbilt University College of Arts and Science, Nashville, TN, USA</aff><aff id="A7">
<label>g</label>Department of Environmental Health Sciences, Mailman School of Public Health, Columbia University, New York, NY, USA</aff><aff id="A8">
<label>h</label>Department of Geography and Environmental Development, Ben-Gurion University of the Negev, Israel</aff><aff id="A9">
<label>i</label>Institute for Exposomic Research, Icahn School of Medicine at Mount Sinai, New York, NY, USA</aff><aff id="A10">
<label>j</label>Department of Nutrition, Harvard T.H. Chan School of Public Health, Boston, MA, USA</aff><aff id="A11">
<label>k</label>Department of Pediatrics, Massachusetts General Hospital for Children, Boston, MA, USA</aff><author-notes><fn id="FN1"><label>1</label><p>co-senior authors.</p></fn></author-notes><pub-date pub-type="nihms-submitted"><day>1</day><month>8</month><year>2017</year></pub-date><pub-date pub-type="epub"><day>30</day><month>7</month><year>2017</year></pub-date><pub-date pub-type="ppub"><month>10</month><year>2017</year></pub-date><pub-date pub-type="pmc-release"><day>01</day><month>10</month><year>2018</year></pub-date><volume>158</volume><fpage>798</fpage><lpage>805</lpage><!--elocation-id from pubmed: 10.1016/j.envres.2017.07.026--><abstract><sec id="S1"><title>Background</title><p id="P2">Evolving animal studies and limited epidemiological data show that prenatal air pollution exposure is associated with childhood obesity. Timing of exposure and child sex may play an important role in these associations. We applied an innovative method to examine sex-specific sensitive prenatal windows of exposure to PM<sub>2.5</sub> on anthropometric measures in preschool-aged children.</p></sec><sec id="S2"><title>Methods</title><p id="P3">Analyses included 239 children born &#x02265;37 weeks gestation in an ethnically-mixed lower-income urban birth cohort. Prenatal daily PM<sub>2.5</sub> exposure was estimated using a validated satellite-based spatio-temporal model. Body mass index z-score (BMI-z), fat mass, % body fat, subscapular and triceps skinfold thickness, waist and hip circumferences and waist-to-hip ratio (WHR) were assessed at age 4.0&#x000b1;0.7 years. Using Bayesian distributed lag interaction models (BDLIMs), we examined sex differences in sensitive windows of weekly averaged PM<sub>2.5</sub> levels on these measures, adjusting for child age, maternal age, education, race/ethnicity, and pre-pregnancy BMI.</p></sec><sec id="S3"><title>Results</title><p id="P4">Mothers were primarily Hispanic (55%) or Black (26%), had &#x02264;12 years of education (66%) and never smoked (80%). Increased PM<sub>2.5</sub> exposure from 8&#x02013;17 and 15&#x02013;22 weeks gestation was significantly associated with increased BMI z-scores and fat mass in boys, but not in girls. Higher PM<sub>2.5</sub> exposure from 10&#x02013;29 weeks gestation was significantly associated with increased WHR in girls, but not in boys. Prenatal PM<sub>2.5</sub> was not significantly associated with other measures of body composition. Estimated cumulative effects across pregnancy, accounting for sensitive windows and within-window effects, were 0.21 (95%CI=0.01&#x02013;0.37) for BMI-z and 0.36 (95%CI=0.12&#x02013;0.68) for fat mass (kg) in boys, and 0.02 (95%CI=0.01&#x02013;0.03) for WHR in girls, all per &#x003bc;g/m<sup>3</sup> increase in PM<sub>2.5</sub>.</p></sec><sec id="S4"><title>Conclusions</title><p id="P5">Increased prenatal PM<sub>2.5</sub> exposure was more strongly associated with indices of increased whole body size in boys and with an indicator of body shape in girls. Methods to better characterize vulnerable windows may provide insight into underlying mechanisms contributing to sex-specific associations.</p></sec></abstract><kwd-group><kwd>prenatal exposure</kwd><kwd>particulate matter</kwd><kwd>child obesity</kwd><kwd>anthropometry</kwd><kwd>sensitive windows</kwd><kwd>sex difference</kwd></kwd-group></article-meta></front><body><sec id="S5"><title>1. INTRODUCTION</title><p id="P6">Nearly one third of children in the United States (U.S.) are overweight or obese, a proportion that has more than doubled since 1980 (<xref rid="R39" ref-type="bibr">Ogden et al., 2016</xref>). While some data suggest that U.S. obesity rates are stabilizing, rates remain high in preschoolers (<xref rid="R14" ref-type="bibr">CDC 2013</xref>) and continue to show disparities for lower-socioeconomic status (SES) groups (<xref rid="R58" ref-type="bibr">Yanovski and Yanovski 2011</xref>). Moreover, correlated phenotypes in infants and toddlers, such as faster weight gain and higher body fat, predict later life obesity-related trajectories (<xref rid="R3" ref-type="bibr">Barker 2012</xref>; <xref rid="R51" ref-type="bibr">Taveras et al., 2009</xref>). For example, children who are obese are five times as likely as those who are not to be obese adults (<xref rid="R14" ref-type="bibr">CDC 2013</xref>). Moreover, obesity increases the risk of a number of physical and mental health disorders over the life course (<xref rid="R7" ref-type="bibr">Bogers et al., 2007</xref>; <xref rid="R14" ref-type="bibr">CDC 2013</xref>; <xref rid="R48" ref-type="bibr">Strazzullo et al., 2010</xref>). Such trends result in U.S. spending approaching nearly $190 billion annually on obesity related healthcare expenses (<xref rid="R12" ref-type="bibr">Cawley and Meyerhoefer 2012</xref>). Identifying potentially modifiable risk factors is a research priority.</p><p id="P7">While current standards mandate prevention to start soon after birth (2010), research increasingly shows that programming of obesity begins prenatally (<xref rid="R50" ref-type="bibr">Sutton et al., 2016</xref>). Moreover, while attempts to curb childhood obesity have largely focused on physical activity and diet, childhood obesity is likely influenced by a range of environmental factors beyond nutrition and exercise (<xref rid="R6" ref-type="bibr">Birch et al., 2011</xref>). Recent evidence points to a role for chemical environmental exposures in programming obesity (<xref rid="R53" ref-type="bibr">Vrijheid et al., 2016</xref>).</p><p id="P8">Emerging evidence specifically supports a role for particulate air pollution, a pro-oxidant environmental exposure, in obesity programming. Particulate air pollution has been increasingly linked to obesity and related phenotypes in animal models (<xref rid="R8" ref-type="bibr">Bolton et al., 2014</xref>). Oxidative stress (OS) plays a role in the generation and maintenance of an obesity phenotype in both isolated adipocytes and animals (<xref rid="R1" ref-type="bibr">Aroor and DeMarco 2014</xref>; <xref rid="R16" ref-type="bibr">De Marchi et al., 2013</xref>; <xref rid="R24" ref-type="bibr">Imhoff and Hansen 2010</xref>; <xref rid="R59" ref-type="bibr">Ye et al., 2015</xref>). Notably, obesity involves excess accumulation of adipose tissue, as well as dysregulation of glucose and lipid metabolism. Reactive oxygen species (ROS) promote adipogenic signaling pathways and disrupted adipogenesis (<xref rid="R2" ref-type="bibr">Atashi et al., 2015</xref>; <xref rid="R25" ref-type="bibr">Iyer et al., 2010</xref>). Moreover, recent prospective epidemiological data link early postnatal ambient pollution to child obesity (<xref rid="R35" ref-type="bibr">McConnell et al., 2015</xref>), and also link ambient pollution exposure, even below air quality guidelines, to glucose tolerance during pregnancy and food reward hormone dysregulation (<xref rid="R11" ref-type="bibr">Calderon-Garciduenas et al., 2015</xref>; <xref rid="R17" ref-type="bibr">Fleisch et al., 2014</xref>), both of which are identified intermediate pathways to offspring/child obesity (<xref rid="R22" ref-type="bibr">Hillier et al., 2007</xref>; <xref rid="R26" ref-type="bibr">Jastreboff et al., 2014</xref>; <xref rid="R30" ref-type="bibr">Kubo et al., 2014</xref>; <xref rid="R43" ref-type="bibr">Poston 2010</xref>).</p><p id="P9">Ambient air pollution effects likely begin <italic>in utero.</italic> In pregnant women, inhaled particles translocate from the lungs via the blood to other organs including the placenta (<xref rid="R38" ref-type="bibr">MohanKumar et al., 2008</xref>). Particulate matter can also invoke a chronic inflammatory process in the mother&#x02019;s lung resulting in systemic inflammation and consequent placental OS (<xref rid="R33" ref-type="bibr">Liu et al., 2016</xref>). Our group and others have linked <italic>in utero</italic> air pollution exposure with low birth weight, a potential predecessor of overweight/obesity in later life (<xref rid="R4" ref-type="bibr">Bell et al., 2007</xref>; <xref rid="R29" ref-type="bibr">Kloog et al., 2012</xref>; <xref rid="R31" ref-type="bibr">Lakshmanan et al., 2015</xref>; <xref rid="R42" ref-type="bibr">Padula et al., 2012</xref>).</p><p id="P10">Prospective human studies examining the association between prenatal traffic-related air pollution exposure and childhood obesity remain sparse. Rundle et al. linked prenatal exposure to polyaromatic hydrocarbons (PAHs) to obesity in children assessed at ages 5 and 7 years (<xref rid="R45" ref-type="bibr">Rundle et al., 2012</xref>). Fleisch et al. showed that prenatal exposure to fine particulate matter was associated with more rapid postnatal weight gain in 6-month-old infants (<xref rid="R19" ref-type="bibr">Fleisch et al., 2015</xref>). This group also demonstrated a link between proximity to major roadways at birth (&#x0003c;50 meters) and fat mass at both early- and mid-childhood (median 3.3 and 7.7 years of age) (<xref rid="R18" ref-type="bibr">Fleisch et al., 2016</xref>). Lavigne et al. showed that increased exposure to air pollution during pregnancy was associated with higher levels of umbilical cord blood adinopectin, which regulates glucose and fatty acid breakdown in the developing fetus, and may contribute to obesity in later childhood (<xref rid="R32" ref-type="bibr">Lavigne et al., 2016</xref>).</p><p id="P11">Notably, existing studies of prenatal air pollution effects on childhood obesity have considered subjective assignment of exposure timing, such as air pollution exposure in a certain trimester or averaged over the entire pregnancy or over a certain length of time before pregnancy. This makes it difficult to compare the results across studies as well as to better delineate the critical windows affecting fetal programming. Clinically defined trimesters do not necessarily correspond to relevant vulnerable periods of body growth. Measuring exposure in an arbitrarily defined susceptibility window that does not overlap with periods of physiological vulnerability may lead to underestimated or even missed associations (<xref rid="R54" ref-type="bibr">Wilson et al., 2017a</xref>). In addition, animal data demonstrate sex-specific vulnerability to prenatal oxidant injury (<xref rid="R37" ref-type="bibr">Minghetti et al., 2013</xref>), which has been linked to both air pollution and infant growth (<xref rid="R49" ref-type="bibr">Sun et al., 2009</xref>). Recent analyses from our group combined advanced statistical methods with highly temporally resolved exposure data to more objectively identify susceptibility windows and enhance the power to detect associations and identify vulnerable groups (i.e., effect modification) (<xref rid="R15" ref-type="bibr">Chiu et al., 2016</xref>; <xref rid="R23" ref-type="bibr">Hsu et al., 2015</xref>). These analyses demonstrated sex-specific and time-varying associations of prenatal air pollution exposure on asthma and neurodevelopmental outcomes in children, but to our knowledge, this has not yet been examined for early childhood growth indicators.</p><p id="P12">We leveraged data on daily exposure to particulate matter with a diameter &#x02264;2.5 &#x003bc;m (PM<sub>2.5</sub>) measured over gestation and applied advanced statistical methods to more precisely identify the sensitive windows of time-varying prenatal PM<sub>2.5</sub> exposure effects on anthropometric measurements in preschool-aged children from an ethnically mixed lower-SES inner city population. We also examined effect modification by child sex.</p></sec><sec id="S6"><title>2. MATERIALS AND METHODS</title><p id="P13">Participants were from the Asthma Coalition on Community, Environment and Social Stress (ACCESS) project, a pregnancy cohort originally funded to recruit 500 mother-child pairs to examine independent and interactive effects of early life stress and physical toxins on childhood respiratory health (<xref rid="R57" ref-type="bibr">Wright et al., 2008</xref>). Between August 2002 and January 2007, English- or Spanish-speaking pregnant women (&#x02265;18 years old) receiving care at Brigham &#x00026; Women&#x02019;s Hospital (BWH), Boston Medical Center (BMC), and affiliated community health centers were enrolled (at 28.4 &#x000b1; 7.9 weeks gestation). Seventy-eight percent (78%) of women receiving prenatal care, who were approached by research staff on select clinic days, were eligible and agreed to enroll. There were no significant differences on race/ethnicity, education, and income between women enrolled and those who declined. A total of 455 women gave birth to a live born infant and continued follow-up. Supplemental funding was obtained to assess anthropometry in children aged 3 to 5 years; of n=358 children age-eligible for this initiative, n=277 completed anthropometry assessments at age 4.0&#x000b1;0.7 years of age. Among these children, n=30 were born &#x0003c;37 weeks, and n=8 did not have prenatal PM<sub>2.5</sub> data (i.e., did not have accurate addresses during pregnancy), resulting in n=239 available for analysis. Those included in analyses did not differ significantly from those not included in analyses based on key covariates including race/ethnicity, maternal age at enrollment, maternal educational status, maternal pre-pregnancy weight, prenatal smoking, child&#x02019;s birth weight or gestational age. Procedures were approved by the human studies committees at BWH and BMC. Mothers provided written consent in their preferred language.</p><sec id="S7"><title>2.1 Prenatal PM<sub>2.5</sub> Exposure</title><p id="P14">As described previously (<xref rid="R15" ref-type="bibr">Chiu et al., 2016</xref>), we used a validated hybrid satellite based spatio-temporal prediction model to estimate each woman&#x02019;s prenatal exposure to PM<sub>2.5</sub>, an index of ambient pollution from traffic and other sources, based on residence over pregnancy (i.e., at enrollment and updated if they moved). In brief, the model combines the aerosol optical depth (AOD) data derived by Moderate Resolution Imaging Spectroradiometer (MODIS) at a 10 km spatial resolution with traditional land-use regression (LUR) predictors to yield residence-specific estimates of daily PM<sub>2.5</sub>, as detailed elsewhere (<xref rid="R28" ref-type="bibr">Kloog et al., 2011</xref>). The model was run using day-specific AOD data were calibrated against ground monitor-based PM<sub>2.5</sub> measurements derived from 78 monitoring stations covering New England and incorporated traditional LUR terms (traffic density, point sources, etc) and meteorological variables (temperature, wind speed, visibility, elevation, distance to major roads, percent of open space, point emissions and area emissions). The relationship between AOD and PM<sub>2.5</sub> was calibrated daily using data from grid cells with both AOD values and monitor data using mixed models with random slopes for day, nested within regions. If the AOD data was not available for certain locations due to metrological conditions such as cloud coverage or snow, the predictions at these locations were imputed by fitting the model with a thin plate spline of latitude and longitude and a random intercept for each cell. The R<sup>2</sup> of &#x0201c;out of sample&#x0201d; ten-fold cross validation for daily values were 0.83 for days with AOD and 0.81 for days without AOD data. We then calculated weekly averaged PM<sub>2.5</sub> levels for each week over pregnancy for each participant to reduce potential noise caused by day-to-day PM<sub>2.5</sub> variation and autocorrelations.</p></sec><sec id="S8"><title>2.2 Anthropometric Measurements</title><sec id="S9"><title>2.2.1 Body mass index (BMI)</title><p id="P15">Children&#x02019;s height while standing was measured without shoes (to nearest 0.1 cm) using a portable stadiometer (Shorr Productions, Olney, MD) and weight was measured (to nearest 0.1 kg) in light clothing using a calibrated portable electronic scale (Seca model 881; Seca Corporation, Hanover, MD). BMI (kg/m<sup>2</sup>) was calculated as weight divided by square of height. BMI z-scores were calculated based on sex- and age- specific normative U.S. data using the Centers for Disease Control (CDC) 2000 growth chart (<xref rid="R13" ref-type="bibr">CDC 2000</xref>).</p></sec><sec id="S10"><title>2.2.2 Bioimpedance</title><p id="P16">Bipolar bioelectrical impedance was used to estimate fat mass (kg), fat free mass (kg), and percent body fat using the BIM4 bio-impedance analyzer (Impedimed, Queensland, Australia) which has been validated in young children (<xref rid="R46" ref-type="bibr">Rush et al., 2013</xref>).</p></sec><sec id="S11"><title>2.2.3 Skinfold thickness</title><p id="P17">Subscapular (SS) and triceps skinfold (TS) thicknesses (mm) were measured using Harpenden skinfold calipers and standard techniques (<xref rid="R40" ref-type="bibr">Oken et al., 2005</xref>); the sum (SS + TS) and ratio (SS:TS) were also calculated.</p></sec><sec id="S12"><title>2.2.4 Waist and hip circumferences</title><p id="P18">Waist circumference was measured midway between the lowest rib and the top of the iliac crest at end expiration and hip circumference (to nearest 0.1 cm) over the great trochanters using a measuring tape (Hoechstmass Balzer GmbH, Sulzbach, Germany). Waist-to-hip ratio (WHR) was calculated by dividing waist circumference by hip circumference.</p></sec></sec><sec id="S13"><title>2.3 Covariates</title><p id="P19">Maternal age, race/ethnicity, and educational status were ascertained at enrollment; information about child&#x02019;s sex, date of birth, gestational age at birth, and birth weight were obtained by medical record review. Women&#x02019;s pre-pregnancy BMI (kg/m<sup>2</sup>) was calculated from height and pre-pregnancy weight reported at enrollment. An internal validation study comparing self-report and measured height and weight available in 121 women assessed early in pregnancy (&#x0003c;10 weeks gestation) showed good agreement across all levels of height and weight (<xref rid="R56" ref-type="bibr">Wright et al., 2013</xref>). We calculated length of gestation using last menstrual period, and sex-specific birth weight for gestational age z-scores were calculated based on the U.S. national reference (<xref rid="R31" ref-type="bibr">Lakshmanan et al., 2015</xref>; <xref rid="R41" ref-type="bibr">Oken et al., 2003</xref>).</p></sec><sec id="S14"><title>2.4 Statistical Analysis</title><p id="P20">Analyses included 239 mothers and their singleton children born at &#x02265;37 weeks gestation. In order to identify sensitive windows for the effects of prenatal PM<sub>2.5</sub> in relation to anthropometric outcomes, we applied a distributed lag model (DLM) (<xref rid="R20" ref-type="bibr">Gasparrini et al., 2010</xref>; <xref rid="R60" ref-type="bibr">Zanobetti et al., 2000</xref>). Using a constrained DLM, we estimate the time-varying association for each participant&#x02019;s weekly exposures throughout the gestational period and anthropometric outcomes. Significant sensitive exposure windows were identified as weeks during pregnancy with a statistically significant association as previously described (<xref rid="R15" ref-type="bibr">Chiu et al., 2016</xref>; <xref rid="R23" ref-type="bibr">Hsu et al., 2015</xref>).</p><p id="P21">To examine effect modification by child sex, we estimated the interaction of prenatal PM<sub>2.5</sub> &#x000d7; sex using Bayesian distributed lag interaction models (BDLIMs) as recently detailed elsewhere (<xref rid="R55" ref-type="bibr">Wilson et al., 2017b</xref>). In brief, BDLIM extends the traditional constrained DLM framework for critical windows to more fully account for effect modification - in our case, by child sex. The constrained DLM assumes that boys and girls either have the same sensitive window and within-window effect or that they have both different windows and different within-window effects. In contrast, BDLIM partitions the DLM into shape and scale components, which allows the additional possibilities of boys and girls having the same sensitive window but different within-window effect or the same within-window effect but different sensitive windows. The BDLIM for child i (i=1, &#x02026;, n) who is sex j (j=1 for female and j=0 for male) is 
<inline-formula><mml:math id="M1" display="inline" overflow="scroll"><mml:mrow><mml:mi>E</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:msub><mml:mi>Y</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo stretchy="false">)</mml:mo><mml:mo>=</mml:mo><mml:msub><mml:mi mathvariant="normal">a</mml:mi><mml:mi mathvariant="normal">j</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">&#x003b2;</mml:mi><mml:mi mathvariant="normal">j</mml:mi></mml:msub><mml:msubsup><mml:mi mathvariant="normal">&#x02211;</mml:mi><mml:mrow><mml:mi mathvariant="normal">t</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:mrow><mml:mi mathvariant="normal">T</mml:mi></mml:msubsup><mml:msub><mml:mi mathvariant="normal">w</mml:mi><mml:mtext>jt</mml:mtext></mml:msub><mml:msub><mml:mi mathvariant="normal">X</mml:mi><mml:mtext>it</mml:mtext></mml:msub><mml:mo>+</mml:mo><mml:msubsup><mml:mi mathvariant="normal">Z</mml:mi><mml:mi mathvariant="normal">i</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msubsup><mml:mi mathvariant="normal">&#x003b3;</mml:mi></mml:mrow></mml:math></inline-formula>, where a<sub>j</sub> is a fixed sex-specific intercept, &#x003b2;<sub>j</sub>, is the regression coefficient characterizing the sex-specific association between weighted PM<sub>2.5</sub> exposure and anthropometric outcome, 
<inline-formula><mml:math id="M2" display="inline" overflow="scroll"><mml:mrow><mml:msubsup><mml:mi mathvariant="normal">&#x02211;</mml:mi><mml:mrow><mml:mi mathvariant="normal">t</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:mrow><mml:mi mathvariant="normal">T</mml:mi></mml:msubsup><mml:msub><mml:mi mathvariant="normal">w</mml:mi><mml:mtext>jt</mml:mtext></mml:msub><mml:msub><mml:mi mathvariant="normal">X</mml:mi><mml:mtext>it</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is the weighted exposure, and 
<inline-formula><mml:math id="M3" display="inline" overflow="scroll"><mml:mrow><mml:msubsup><mml:mi mathvariant="normal">Z</mml:mi><mml:mi mathvariant="normal">i</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msubsup><mml:mi mathvariant="normal">&#x003b3;</mml:mi></mml:mrow></mml:math></inline-formula> is the covariate regression term. BDLIM partitions the time-varying association between exposure and outcome into two components: 1) the weights, w<sub>jt</sub>, that identify critical windows of susceptibility and 2) the coefficients, &#x003b2;<sub>j</sub>, that identify the magnitude of the within-window effects. When the weights are constant over time in both groups, BDLIM is equivalent to a model with mean exposure over pregnancy interacted with child sex. When the weights vary by time, the model identifies time periods with greater weight (i.e., potential sensitive windows) that will graphically appear as a bump during which exposure is significantly associated with the respective anthropometric indicators. This data-driven approach automatically determines whether the w<sub>jt</sub> and &#x003b2;<sub>j</sub> are the same or different for each group based on the likelihood of each pattern of heterogeneity. In other words, the BDLIM is able to identify the best fit pattern of effect modification by sex among the four patterns: 1) boys and girls have the same weights (shape of distributed lag function) and the same coefficients (within window effect or scale); 2) boys and girls have the same weight (windows) function but different coefficients; 3) boys and girls have different weights but the same coefficients; 4) and boys and girls have both different weights and coefficients. The association between exposure and outcome was then estimated under the effect modification pattern that is best supported by the data. Deviance information criterion (DIC) was used to determine the best fitting model with optimal parameters (e.g., number of knots and degrees of freedom used) and whether the weights and effects were different across sex (<xref rid="R55" ref-type="bibr">Wilson et al., 2017b</xref>).</p><p id="P36">The BDLIM incorporates the data from all exposure time points simultaneously and assumes that the association between the outcome and exposure at a given time point varies smoothly as a function of time while controlling for exposure at all other time points. It also yields an estimate of a cumulative effect across all time points (in our case, across the entire pregnancy) accounting for both the sensitive windows and the strength of within-window associations for each sex group, by calculating the sum of &#x003b2;<sub>j</sub> &#x000d7; w<sub>jt</sub> for each time point.</p><p id="P37">Standard controls (maternal age, child&#x02019;s sex, child&#x02019;s age at anthropometric assessment) as well as potential confounders (maternal race/ethnicity, education, pre-pregnancy BMI) were included in analyses. We also conducted sensitivity analyses additionally adjusting for postnatal daily PM<sub>2.5</sub> levels predicted by the spatio-temporal model averaged over the first 2 years of life and perinatal smoking, as well as birth weight for gestational age z-score, a potential pathway variable. All analyses were implemented in <italic>R</italic> statistical software (v3.3.1, Vienna, Austria).</p></sec></sec><sec id="S15"><title>3. RESULTS</title><sec id="S16" sec-type="intro"><title>3.1 Participant characteristics</title><p id="P22">Most mothers were ethnic minority (55% Hispanic, 26% African American), had &#x02264; 12 years of education (66%), and never smoked (80%) (<xref rid="T1" ref-type="table">Table 1</xref>). <xref rid="T2" ref-type="table">Table 2</xref> summarizes the distribution of child anthropometry measurements and prenatal PM<sub>2.5</sub> exposure by sex. Prenatal PM<sub>2.5</sub> levels were similar for boys and girls and there were no significant sex differences in terms of maternal age at enrollment, race/ethnicity, education, pre-pregnancy BMI, and smoking status or child&#x02019;s birth weight for gestational age z-score or age at anthropometry assessment (<xref rid="T1" ref-type="table">Tables 1</xref>&#x02013;<xref rid="T2" ref-type="table">2</xref>).</p></sec><sec id="S17"><title>3.2 Identification of sensitive windows and sex-specific associations</title><p id="P23">When examining the association between prenatal PM<sub>2.5</sub> exposure over gestation and anthropometry using DLMs in the sample as a whole, only the calculated index, WHR, was significantly associated with exposure at 2&#x02013;22 weeks gestation (<xref rid="SD1" ref-type="supplementary-material">Supplemental Materials, Figure S1</xref>). However, examining the interaction between prenatal PM<sub>2.5</sub> and child&#x02019;s sex in relation to anthropometric outcomes using BDLIMs revealed significant sexually-dimorphic associations in several indices (<xref rid="F1" ref-type="fig">Figures 1</xref>&#x02013;<xref rid="F3" ref-type="fig">3</xref>). When interpreting the figures, &#x0201c;sensitive windows&#x0201d; graphically appear as a bump during which exposure is significantly associated with the respective outcome. Analyses revealed a significant association between higher PM<sub>2.5</sub> exposure in early-to-mid pregnancy (8&#x02013;17 weeks of gestation) and higher BMI z-scores in boys, but not in girls (<xref rid="F1" ref-type="fig">Figure 1</xref>). Higher PM<sub>2.5</sub> levels in mid-pregnancy (15&#x02013;22 weeks of gestation) were significantly associated with increased fat mass among boys, but not in girls (<xref rid="F2" ref-type="fig">Figure 2</xref>). On the other hand, a significant association between higher PM<sub>2.5</sub> levels and increased WHR among girls with a sensitive window spanning 10&#x02013;29 weeks gestation was seen, whereas the association was only suggestive in boys (<xref rid="F3" ref-type="fig">Figure 3</xref>). We did not find statistically significant sensitive prenatal windows for the remaining anthropometric measurements. For the respective outcome measurements with identified significant sex-specific sensitive exposure windows, the BDLIM analysis found that effect modification by sex was attributable to difference in the magnitude of the within-window association (i.e., &#x003b2;<sub>j</sub>) between boys and girls, while the window (i.e., w<sub>jt</sub>) was not different between the two sexes (the normalized posterior density was 0.56, 0.98, and 0.97 for BMI-z, fat mass, and WHR models, respectively, which can be interpreted as a probability that the model with a common window but different magnitudes was the best fitting pattern of effect modification).</p></sec><sec id="S18"><title>3.3 Cumulative effects across pregnancy accounting for sensitive windows</title><p id="P24">In order to further assess the associations over the entire pregnancy while accounting for time-varying associations, we also estimated the cumulative effects accounting for sensitive windows and within-window associations identified by BDLIMs (<xref rid="T3" ref-type="table">Table 3</xref>). The estimated cumulative effects of prenatal PM<sub>2.5</sub> exposure (per &#x003bc;g/m<sup>3</sup> increase in PM<sub>2.5</sub>) were significant for BMI-z (0.21, 95%CI=0.003&#x02013;0.37) and fat mass (0.36, 95%CI=0.12&#x02013;0.68) in boys, but not in girls. The estimated cumulative effect of prenatal PM<sub>2.5</sub> was significant for WHR among girls (0.02, 95%CI=0.01&#x02013;0.03) and only suggestive in boys (0.006, 95%CI= &#x02212;0.0001&#x02013;0.014).</p></sec><sec id="S19"><title>3.4 Sensitivity analyses</title><p id="P25">Finally, sensitivity analyses additionally including postnatal PM<sub>2.5</sub> levels, perinatal smoking, and birth weight for gestational age z-scores in the models showed similar sex-specific patterns for significant associations as in our main analyses (<xref rid="SD1" ref-type="supplementary-material">Supplemental Materials, Figures S2&#x02013;S4</xref> and <xref rid="SD1" ref-type="supplementary-material">Table S1</xref>).</p></sec></sec><sec id="S20"><title>4. DISCUSSION</title><p id="P26">These data add to a sparse literature linking <italic>in utero</italic> traffic-related air pollution exposure and early childhood body composition in two significant ways. First, this is the first study to leverage weekly address-specific PM<sub>2.5</sub> exposure estimates and Bayesian distributed lag interaction models to examine time-varying effects in a data driven fashion rather than assigning <italic>a priori</italic> exposure time periods arbitrarily (e.g., averaged over a certain length of time before birth or using clinically defined trimesters) in order to more definitively identify sensitive windows for effects on child growth. In addition, the use of BDLIM allowed us to directly examine the time-varying interaction by sex and estimation of cumulative effects across the pregnancy accounting for both sensitive windows and within-window effects. Our data suggested that increased exposure to PM<sub>2.5</sub> in early to mid-pregnancy was associated with increased fat mass and higher BMI z-scores among boys. Among girls, higher exposure to PM<sub>2.5</sub> from early-to-mid pregnancy was associated with increased WHR.</p><p id="P27">More refined estimation of the sensitive time windows in which air pollution has the greatest impact may enhance our insight into underlying mechanisms as well as the etiology of sex-specific effects on child growth. Oxidative stress is one of the leading hypothesized mechanisms that may be operating between prenatal particulate air pollution and early growth outcomes. Particulate air pollution may result in increased placental or fetal oxidative stress and related DNA damage or inflammation, which may inhibit nutrient transfer from mother to fetus and disrupt programming of the fetal metabolic system, thereby disrupting fetal growth (<xref rid="R19" ref-type="bibr">Fleisch et al., 2015</xref>; <xref rid="R27" ref-type="bibr">Kannan et al., 2006</xref>). Excess fetal oxidative stress or inflammation resulting from air pollution exposure could also induce fetal or infant adipose tissue inflammation and hypertrophy, which may be related to excessive weight gain (<xref rid="R49" ref-type="bibr">Sun et al., 2009</xref>). Increased oxidative stress could also induce neuroinflammation and central nervous system effects, which may be linked to disrupted satiety signals (<xref rid="R8" ref-type="bibr">Bolton et al., 2014</xref>).</p><p id="P28">Further, these analyses also found that the sensitive windows for prenatal exposure to PM<sub>2.5</sub> may be sex specific. While prior human data are not available, animal studies have demonstrated sex-specific associations between prenatal air pollutants and offspring growth outcomes. In a rodent study, Bolton et al. (<xref rid="R9" ref-type="bibr">Bolton et al., 2012</xref>) found that adult male offspring born to pregnant mice exposed to diesel exhaust weighed 12% more compared to those born to non-exposed pregnant mice, whereas there was no difference seen in female offspring. These investigators also found that female offspring born to pregnant mice exposed to diesel exhaust gained 340% more weight following a high fat diet compared to those born to non-exposed pregnant mice; no such differences were found in male offspring. Other research suggested that sex hormones contribute to sex differences induced by pro-inflammatory triggers such as air pollution (<xref rid="R36" ref-type="bibr">Melcangi et al., 2008</xref>). For example, a study in rodents found that estrogens may have anti-inflammatory properties mediated by cytokine expression (<xref rid="R47" ref-type="bibr">Shivers et al., 2015</xref>).</p><p id="P29">To our knowledge, only one previous human study has examined the association between prenatal fine particulate matter and anthropometric outcomes in children. Fleisch et al. (<xref rid="R18" ref-type="bibr">Fleisch et al., 2016</xref>) found that proximity to major roadway at birth address (&#x0003c;50 m), a surrogate of traffic-related air pollution exposure, was associated with BMI-z score, waist circumference, and skinfold thickness in children aged at 3.3 years as well as at 7.7 years. On the other hand, this same study did not find statistically significant associations between prenatal black carbon or PM<sub>2.5</sub> exposure averaged over the 3rd trimester and these measurements nor did they find effect modification by sex (<xref rid="R18" ref-type="bibr">Fleisch et al., 2016</xref>). While the methodology used to estimate participant&#x02019;s exposure to PM<sub>2.5</sub> was the same in both studies, Fleisch et al. (<xref rid="R18" ref-type="bibr">Fleisch et al., 2016</xref>) assessed exposure in the 3rd trimester only, and thus it is difficult to directly compare the results with our study. Of note, in a recent simulation analysis, our group demonstrated that measuring exposure only in an arbitrarily defined susceptibility window during pregnancy may lead to missed associations (<xref rid="R54" ref-type="bibr">Wilson et al., 2017a</xref>). Moreover, the analytical approach used in the present study found that associations between PM<sub>2.5</sub> and growth outcomes may be more significant in the 1st and 2nd trimester rather than later in pregnancy. This may also explain the discrepancy between the findings in the two studies, especially in terms of effect modification by sex.</p><p id="P30">A larger WHR reflects a type of body shape with excess weight around the waist (i.e., central or abdominal obesity, or &#x0201c;apple shape&#x0201d; obesity), whereas increased BMI or fat mass is more of an indicator for increased general body size (<xref rid="R10" ref-type="bibr">Bray and Bouchard 2014</xref>). The sex-specific findings in our study suggest that prenatal air pollution exposure may have a stronger association with increased body size in general among boys, whereas it may affect body shape among girls. The observed associations with body composition in these preschool-aged children may have long term health implications in a sex-specific manner. For example, a recent study of 8&#x02013;16 year-old Hispanic children reported that the association between BMI and insulin resistance, a predictor of type-2 diabetes, was significantly stronger in boys compared to girls; on the other hand, the association between WHR and insulin resistance was significantly stronger in girls compared to boys (<xref rid="R44" ref-type="bibr">Qi et al., 2016</xref>). Of note, as the variability of WHR in children is generally small, the estimated effect size of prenatal exposure per unit at each time point on this indicator also likely to be small; however, we were still able to identify a sensitive window and sex difference in estimated cumulative effect over the pregnancy. Further studies are needed to replicate these results in early childhood, elucidate underlying mechanisms, and examine whether these associations are sustained over time. Longitudinal studies assessing air pollution exposures beginning <italic>in utero</italic> on growth trajectories over the life course will be most informative.</p><p id="P31">This study has notable strengths. We were able to leverage daily particulate air pollution data estimated by address-specific exposure for each woman over gestation, using a validated state-of-the-art hybrid spatio-temporal LUR model incorporating satellite-derived AOD measures (<xref rid="R28" ref-type="bibr">Kloog et al., 2011</xref>), to apply a data-driven advanced statistical approach to more objectively identify sensitive windows of prenatal PM<sub>2.5</sub> and more directly examine interactions by child sex. In addition, our study population consists of a lower-SES ethnically mixed inner-city population that is more likely to live in communities with higher traffic-related air pollution exposures as well as being at greater risk for childhood obesity. We also acknowledge some limitations. While we found significant interactions between prenatal PM<sub>2.5</sub> exposure and sex for BMI-z, fat mass, and WHR, we did not find statistically significant associations on other anthropometric measures, which may be due to our sample size. Also, while we were able to control for postnatal air pollution exposure as well as several factors known to be important for child growth, we did not have data on dietary or other parenting practices that may influence child growth. However, controlling for SES-related variables including education and race/ethnicity which are correlated with dietary intakes and parenting practices may in part account for these other factors. Finally, our results may be more generalizable to lower SES racial/ethnic minority populations. Larger studies examining sex-specific time-varying effects of prenatal particulate air pollution are thus warranted to corroborate these findings and consider additional confounders or moderators. Moreover, integrating epidemiological findings using analytic methods to more objectively identify sensitive windows with knowledge regarding developmental pathways and processes involved in prenatal programming of obesity that may be disrupted in these time periods as summarized in recent reviews (<xref rid="R5" ref-type="bibr">Berry et al., 2013</xref>; <xref rid="R21" ref-type="bibr">Gesta et al., 2007</xref>; <xref rid="R34" ref-type="bibr">MacKay and Abizaid 2014</xref>) can better inform future mechanistic research in this area.</p><p id="P32">In summary, this study utilized a data-driven method to objectively elucidate sensitive windows and examined sex differences for the association between prenatal PM<sub>2.5</sub> and body composition outcomes in early childhood. We found that increased prenatal PM<sub>2.5</sub> exposure, particularly at early-to-mid pregnancy, may be more strongly associated with increased whole body size in boys, whereas it may be more strongly associated with an indicator of body shape (i.e., WHR) in girls. Advanced statistical methods combined with highly temporally resolved exposure data facilitates the more objective identification of susceptibility windows and enhances the ability to detect associations as well as to identify vulnerable groups.</p></sec><sec sec-type="supplementary-material" id="S22"><title>Supplementary Material</title><supplementary-material content-type="local-data" id="SD1"><label>2</label><media xlink:href="NIHMS896378-supplement-2.docx" orientation="portrait" xlink:type="simple" id="d36e954" position="anchor"/></supplementary-material></sec></body><back><ack id="S23"><p>The Asthma Coalition on Community, Environment, and Social Stress (ACCESS) project has been funded by NIH grants R01 ES010932, U01 HL072494, R01 HL080674, R01 MD006086; anthropometric phenotyping was supported by R01 MD003963 and P30 ES023515; statistical support was funded by U2C ES026555, T32 ES007142 and P30 ES000002; air pollution modeling was funded by EPA RD83479801. During preparation of manuscript, Chiu was supported by CDC/NIOSH T42 OH008422. The authors declare they have no competing financial interests.</p></ack><fn-group><fn id="FN2"><p content-type="publisher-disclaimer">This is a PDF file of an unedited manuscript that has been accepted for publication. As a service to our customers we are providing this early version of the manuscript. The manuscript will undergo copyediting, typesetting, and review of the resulting proof before it is published in its final citable form. Please note that during the production process errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal pertain.</p></fn></fn-group><glossary id="GL"><title>Abbreviations</title><def-list><def-item><term id="G1">AOD</term><def><p>aerosol optical depth</p></def></def-item><def-item><term id="G2">BDLIM</term><def><p>Bayesian distributed lag interaction model</p></def></def-item><def-item><term id="G3">BMI-z</term><def><p>body mass index z-score</p></def></def-item><def-item><term id="G4">CDC</term><def><p>Centers for Disease Control</p></def></def-item><def-item><term id="G5">DLM</term><def><p>distributed lag model</p></def></def-item><def-item><term id="G6">LUR</term><def><p>land-use regression</p></def></def-item><def-item><term id="G7">OS</term><def><p>oxidative stress</p></def></def-item><def-item><term id="G8">PAHs</term><def><p>polyaromatic hydrocarbons</p></def></def-item><def-item><term id="G9">ROS</term><def><p>reactive oxygen species</p></def></def-item><def-item><term id="G10">SES</term><def><p>socioeconomic status</p></def></def-item><def-item><term id="G11">SS</term><def><p>subscapular skinfold</p></def></def-item><def-item><term id="G12">TS</term><def><p>triceps skinfold</p></def></def-item><def-item><term id="G13">WHR</term><def><p>waist-to-hip ratio</p></def></def-item></def-list></glossary><ref-list><ref id="R1"><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Aroor</surname><given-names>AR</given-names></name><name><surname>DeMarco</surname><given-names>VG</given-names></name></person-group><year>2014</year><article-title>Oxidative stress and obesity: the chicken or the egg?</article-title><source>Diabetes</source><volume>63</volume><fpage>2216</fpage><lpage>2218</lpage><pub-id pub-id-type="pmid">24962921</pub-id></element-citation></ref><ref id="R2"><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Atashi</surname><given-names>F</given-names></name><name><surname>Modarressi</surname><given-names>A</given-names></name><name><surname>Pepper</surname><given-names>MS</given-names></name></person-group><year>2015</year><article-title>The role of reactive oxygen species in mesenchymal stem cell adipogenic and osteogenic differentiation: a review</article-title><source>Stem Cells Dev</source><volume>24</volume><fpage>1150</fpage><lpage>1163</lpage><pub-id pub-id-type="pmid">25603196</pub-id></element-citation></ref><ref id="R3"><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Barker</surname><given-names>DJ</given-names></name></person-group><year>2012</year><article-title>Sir Richard Doll Lecture. 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Models were adjusted for maternal age, race/ethnicity, education, pre-pregnancy BMI, and child&#x02019;s age at anthropometric measurement. The y-axis represents the change in BMI z-scores corresponding to per &#x003bc;g/m<sup>3</sup> increase in PM<sub>2.5</sub>; the x-axis is gestational age in weeks. Solid lines show the predicted change in BMI z-score. Gray areas indicate 95% confidence intervals (CIs). A sensitive window is identified for the weeks where the estimated pointwise 95% CI (shaded area) does not include zero.</p></caption><graphic xlink:href="nihms896378f1"/></fig><fig id="F2" orientation="portrait" position="float"><label>Figure 2</label><caption><title>Associations between weekly PM<sub>2.5</sub> levels over gestation and fat mass: interaction by sex</title><p>This figure demonstrates the association between PM<sub>2.5</sub> exposure over pregnancy and fat mass (kg) using BDLIM assuming week-specific effects. Models were adjusted for maternal age, race/ethnicity, education, pre-pregnancy BMI, and child&#x02019;s age at anthropometry measurement. The y-axis represents the change in fat mass corresponding to per &#x003bc;g/m<sup>3</sup> increase in PM<sub>2.5</sub>; the x-axis is gestational age in weeks. Solid lines show the predicted change in fat mass. Gray areas indicate 95% confidence intervals (CIs). A sensitive window is identified for the weeks where the estimated pointwise 95% CI (shaded area) does not include zero.</p></caption><graphic xlink:href="nihms896378f2"/></fig><fig id="F3" orientation="portrait" position="float"><label>Figure 3</label><caption><title>Associations between weekly PM<sub>2.5</sub> levels over gestation and waist-to-hip ratio: interaction by sex</title><p>This figure demonstrates the association between PM<sub>2.5</sub> exposure over pregnancy and waist-to-hip ratio using BDLIM assuming week-specific effects. Models were adjusted for maternal age, race/ethnicity, education, pre-pregnancy BMI, and child&#x02019;s age at anthropometric measurement. The y-axis represents the change in waist-to-hip ratio corresponding to per &#x003bc;g/m<sup>3</sup> increase in PM<sub>2.5</sub>; the x-axis is gestational age in weeks. Solid lines show the predicted change in waist-to-hip ratio. Gray areas indicate 95% confidence intervals (CIs). A sensitive window is identified for the weeks where the estimated pointwise 95% CI (shaded area) does not include zero.</p></caption><graphic xlink:href="nihms896378f3"/></fig><table-wrap id="T1" position="float" orientation="landscape"><label>Table 1</label><caption><p>ACCESS participant characteristics</p></caption><table frame="hsides" rules="groups"><thead><tr><th valign="top" align="left" rowspan="1" colspan="1"/><th colspan="2" valign="top" align="center" rowspan="1">All children (n=239)</th><th colspan="2" valign="top" align="center" rowspan="1">Girls (n=109)</th><th colspan="2" valign="top" align="center" rowspan="1">Boys (n=130)</th></tr></thead><tbody><tr><td colspan="7" align="left" valign="top" rowspan="1"><bold>Race/Ethnicity</bold> (n, %)</td></tr><tr><td align="left" valign="top" rowspan="1" colspan="1">&#x02003;Black</td><td align="center" valign="top" rowspan="1" colspan="1">61</td><td align="center" valign="top" rowspan="1" colspan="1">25.5</td><td align="center" valign="top" rowspan="1" colspan="1">30</td><td align="center" valign="top" rowspan="1" colspan="1">27.5</td><td align="center" valign="top" rowspan="1" colspan="1">31</td><td align="center" valign="top" rowspan="1" colspan="1">23.9</td></tr><tr><td align="left" valign="top" rowspan="1" colspan="1">&#x02003;Hispanic</td><td align="center" valign="top" rowspan="1" colspan="1">132</td><td align="center" valign="top" rowspan="1" colspan="1">55.2</td><td align="center" valign="top" rowspan="1" colspan="1">61</td><td align="center" valign="top" rowspan="1" colspan="1">56.0</td><td align="center" valign="top" rowspan="1" colspan="1">71</td><td align="center" valign="top" rowspan="1" colspan="1">54.6</td></tr><tr><td align="left" valign="top" rowspan="1" colspan="1">&#x02003;White/Other</td><td align="center" valign="top" rowspan="1" colspan="1">46</td><td align="center" valign="top" rowspan="1" colspan="1">19.3</td><td align="center" valign="top" rowspan="1" colspan="1">18</td><td align="center" valign="top" rowspan="1" colspan="1">16.5</td><td align="center" valign="top" rowspan="1" colspan="1">28</td><td align="center" valign="top" rowspan="1" colspan="1">21.5</td></tr><tr><td colspan="7" align="left" valign="top" rowspan="1"><bold>Maternal education</bold> (n, %)</td></tr><tr><td align="left" valign="top" rowspan="1" colspan="1">&#x02003;&#x0003e;12 yrs</td><td align="center" valign="top" rowspan="1" colspan="1">81</td><td align="center" valign="top" rowspan="1" colspan="1">33.9</td><td align="center" valign="top" rowspan="1" colspan="1">40</td><td align="center" valign="top" rowspan="1" colspan="1">36.7</td><td align="center" valign="top" rowspan="1" colspan="1">41</td><td align="center" valign="top" rowspan="1" colspan="1">31.5</td></tr><tr><td align="left" valign="top" rowspan="1" colspan="1">&#x02003;&#x02264;12 yrs</td><td align="center" valign="top" rowspan="1" colspan="1">158</td><td align="center" valign="top" rowspan="1" colspan="1">66.1</td><td align="center" valign="top" rowspan="1" colspan="1">69</td><td align="center" valign="top" rowspan="1" colspan="1">63.3</td><td align="center" valign="top" rowspan="1" colspan="1">89</td><td align="center" valign="top" rowspan="1" colspan="1">68.5</td></tr><tr><td colspan="7" align="left" valign="top" rowspan="1"><bold>Maternal smoking status</bold> (n, %)</td></tr><tr><td align="left" valign="top" rowspan="1" colspan="1">&#x02003;Never smoked</td><td align="center" valign="top" rowspan="1" colspan="1">192</td><td align="center" valign="top" rowspan="1" colspan="1">80.3</td><td align="center" valign="top" rowspan="1" colspan="1">87</td><td align="center" valign="top" rowspan="1" colspan="1">79.8</td><td align="center" valign="top" rowspan="1" colspan="1">105</td><td align="center" valign="top" rowspan="1" colspan="1">80.8</td></tr><tr><td align="left" valign="top" rowspan="1" colspan="1">&#x02003;Smoked prenatally, but not postnatally</td><td align="center" valign="top" rowspan="1" colspan="1">11</td><td align="center" valign="top" rowspan="1" colspan="1">4.6</td><td align="center" valign="top" rowspan="1" colspan="1">4</td><td align="center" valign="top" rowspan="1" colspan="1">3.7</td><td align="center" valign="top" rowspan="1" colspan="1">7</td><td align="center" valign="top" rowspan="1" colspan="1">5.4</td></tr><tr><td align="left" valign="top" rowspan="1" colspan="1">&#x02003;Did not smoke prenatally, but smoked postnatally</td><td align="center" valign="top" rowspan="1" colspan="1">15</td><td align="center" valign="top" rowspan="1" colspan="1">6.3</td><td align="center" valign="top" rowspan="1" colspan="1">9</td><td align="center" valign="top" rowspan="1" colspan="1">8.3</td><td align="center" valign="top" rowspan="1" colspan="1">6</td><td align="center" valign="top" rowspan="1" colspan="1">4.6</td></tr><tr><td align="left" valign="top" rowspan="1" colspan="1">&#x02003;Smoked both pre- and postnatally</td><td align="center" valign="top" rowspan="1" colspan="1">21</td><td align="center" valign="top" rowspan="1" colspan="1">8.8</td><td align="center" valign="top" rowspan="1" colspan="1">9</td><td align="center" valign="top" rowspan="1" colspan="1">8.3</td><td align="center" valign="top" rowspan="1" colspan="1">12</td><td align="center" valign="top" rowspan="1" colspan="1">9.2</td></tr><tr><td align="left" valign="top" rowspan="1" colspan="1"><bold>Maternal age at enrollment</bold> (yr; mean, SD)</td><td align="center" valign="top" rowspan="1" colspan="1">28.1</td><td align="center" valign="top" rowspan="1" colspan="1">5.8</td><td align="center" valign="top" rowspan="1" colspan="1">28.7</td><td align="center" valign="top" rowspan="1" colspan="1">6.1</td><td align="center" valign="top" rowspan="1" colspan="1">27.6</td><td align="center" valign="top" rowspan="1" colspan="1">5.5</td></tr><tr><td align="left" valign="top" rowspan="1" colspan="1"><bold>Maternal pre-pregnancy BMI</bold> (kg/m<sup>2</sup>; median, IQR)</td><td align="center" valign="top" rowspan="1" colspan="1">28.0</td><td align="center" valign="top" rowspan="1" colspan="1">25.9&#x02013;31.2</td><td align="center" valign="top" rowspan="1" colspan="1">28.0</td><td align="center" valign="top" rowspan="1" colspan="1">25.7&#x02013;31.4</td><td align="center" valign="top" rowspan="1" colspan="1">28.0</td><td align="center" valign="top" rowspan="1" colspan="1">26.2&#x02013;30.7</td></tr><tr><td align="left" valign="top" rowspan="1" colspan="1"><bold>Child age at anthropometry measure</bold> (yr; mean, SD)</td><td align="center" valign="top" rowspan="1" colspan="1">4</td><td align="center" valign="top" rowspan="1" colspan="1">0.7</td><td align="center" valign="top" rowspan="1" colspan="1">4</td><td align="center" valign="top" rowspan="1" colspan="1">0.7</td><td align="center" valign="top" rowspan="1" colspan="1">4</td><td align="center" valign="top" rowspan="1" colspan="1">0.7</td></tr><tr><td align="left" valign="top" rowspan="1" colspan="1"><bold>Birth weight for gestational age z-score</bold> (mean, SD)</td><td align="center" valign="top" rowspan="1" colspan="1">&#x02212;0.10</td><td align="center" valign="top" rowspan="1" colspan="1">1.12</td><td align="center" valign="top" rowspan="1" colspan="1">&#x02212;0.20</td><td align="center" valign="top" rowspan="1" colspan="1">1.16</td><td align="center" valign="top" rowspan="1" colspan="1">&#x02212;0.01</td><td align="center" valign="top" rowspan="1" colspan="1">1.07</td></tr></tbody></table></table-wrap><table-wrap id="T2" position="float" orientation="landscape"><label>Table 2</label><caption><p>Anthropometry measurements and prenatal PM<sub>2.5</sub> exposure levels by child sex</p></caption><table frame="hsides" rules="groups"><thead><tr><th valign="bottom" rowspan="3" align="left" colspan="1"><italic>Variables</italic></th><th colspan="2" valign="middle" align="center" rowspan="1">All children</th><th colspan="2" valign="middle" align="center" rowspan="1">Girls</th><th colspan="2" valign="middle" align="center" rowspan="1">Boys</th></tr><tr><th colspan="6" valign="bottom" align="left" rowspan="1">
<hr/></th></tr><tr><th valign="middle" align="center" rowspan="1" colspan="1">Median</th><th valign="middle" align="center" rowspan="1" colspan="1">IQR</th><th valign="middle" align="center" rowspan="1" colspan="1">Median</th><th valign="middle" align="center" rowspan="1" colspan="1">IQR</th><th valign="middle" align="center" rowspan="1" colspan="1">Median</th><th valign="middle" align="center" rowspan="1" colspan="1">IQR</th></tr></thead><tbody><tr><td align="left" valign="top" rowspan="1" colspan="1"><bold>Prenatal PM<sub>2.5</sub> level (&#x003bc;g/m<sup>3</sup>)</bold><xref rid="TFN1" ref-type="table-fn">a</xref></td><td align="center" valign="top" rowspan="1" colspan="1">10.7</td><td align="center" valign="top" rowspan="1" colspan="1">9.9&#x02013;11.4</td><td align="center" valign="top" rowspan="1" colspan="1">10.8</td><td align="center" valign="top" rowspan="1" colspan="1">10.0&#x02013;11.5</td><td align="center" valign="top" rowspan="1" colspan="1">10.6</td><td align="center" valign="top" rowspan="1" colspan="1">9.8&#x02013;11.4</td></tr><tr><td colspan="7" align="left" valign="top" rowspan="1"><bold>Body Mass Index (BMI)</bold></td></tr><tr><td align="left" valign="top" rowspan="1" colspan="1">&#x02003;BMI z-score</td><td align="center" valign="top" rowspan="1" colspan="1">0.50</td><td align="center" valign="top" rowspan="1" colspan="1">&#x02212;0.27&#x02013;1.52</td><td align="center" valign="top" rowspan="1" colspan="1">0.61</td><td align="center" valign="top" rowspan="1" colspan="1">&#x02212;0.30&#x02013;1.48</td><td align="center" valign="top" rowspan="1" colspan="1">0.44</td><td align="center" valign="top" rowspan="1" colspan="1">&#x02212;0.26&#x02013;1.53</td></tr><tr><td colspan="7" align="left" valign="top" rowspan="1"><bold>Bioimpedance</bold></td></tr><tr><td align="left" valign="top" rowspan="1" colspan="1">&#x02003;Fat mass (kg)</td><td align="center" valign="top" rowspan="1" colspan="1">3.0</td><td align="center" valign="top" rowspan="1" colspan="1">2.1&#x02013;3.9</td><td align="center" valign="top" rowspan="1" colspan="1">2.1</td><td align="center" valign="top" rowspan="1" colspan="1">1.1&#x02013;3.2</td><td align="center" valign="top" rowspan="1" colspan="1">3.2</td><td align="center" valign="top" rowspan="1" colspan="1">2.8&#x02013;4.4</td></tr><tr><td align="left" valign="top" rowspan="1" colspan="1">&#x02003;Fat free mass (kg)</td><td align="center" valign="top" rowspan="1" colspan="1">14</td><td align="center" valign="top" rowspan="1" colspan="1">13&#x02013;16</td><td align="center" valign="top" rowspan="1" colspan="1">15</td><td align="center" valign="top" rowspan="1" colspan="1">14&#x02013;16</td><td align="center" valign="top" rowspan="1" colspan="1">13</td><td align="center" valign="top" rowspan="1" colspan="1">12&#x02013;15</td></tr><tr><td align="left" valign="top" rowspan="1" colspan="1">&#x02003;% body fat (%)</td><td align="center" valign="top" rowspan="1" colspan="1">17</td><td align="center" valign="top" rowspan="1" colspan="1">13&#x02013;21</td><td align="center" valign="top" rowspan="1" colspan="1">11</td><td align="center" valign="top" rowspan="1" colspan="1">6.5&#x02013;16</td><td align="center" valign="top" rowspan="1" colspan="1">19</td><td align="center" valign="top" rowspan="1" colspan="1">17&#x02013;22</td></tr><tr><td colspan="7" align="left" valign="top" rowspan="1"><bold>Skin fold</bold></td></tr><tr><td align="left" valign="top" rowspan="1" colspan="1">&#x02003;Tricep skinfold (mm)</td><td align="center" valign="top" rowspan="1" colspan="1">9.1</td><td align="center" valign="top" rowspan="1" colspan="1">7.8&#x02013;11.0</td><td align="center" valign="top" rowspan="1" colspan="1">9.8</td><td align="center" valign="top" rowspan="1" colspan="1">8.4&#x02013;12.0</td><td align="center" valign="top" rowspan="1" colspan="1">8.4</td><td align="center" valign="top" rowspan="1" colspan="1">7.4&#x02013;10.0</td></tr><tr><td align="left" valign="top" rowspan="1" colspan="1">&#x02003;Subscapular skinfold (mm)</td><td align="center" valign="top" rowspan="1" colspan="1">6.2</td><td align="center" valign="top" rowspan="1" colspan="1">5.2&#x02013;7.8</td><td align="center" valign="top" rowspan="1" colspan="1">6.8</td><td align="center" valign="top" rowspan="1" colspan="1">5.6&#x02013;8.6</td><td align="center" valign="top" rowspan="1" colspan="1">5.8</td><td align="center" valign="top" rowspan="1" colspan="1">5.0&#x02013;7.0</td></tr><tr><td colspan="7" align="left" valign="top" rowspan="1"><bold>Waist and Hip Circumferences</bold></td></tr><tr><td align="left" valign="top" rowspan="1" colspan="1">&#x02003;Waist circumference (cm)</td><td align="center" valign="top" rowspan="1" colspan="1">52</td><td align="center" valign="top" rowspan="1" colspan="1">50&#x02013;56</td><td align="center" valign="top" rowspan="1" colspan="1">53</td><td align="center" valign="top" rowspan="1" colspan="1">50&#x02013;57</td><td align="center" valign="top" rowspan="1" colspan="1">52</td><td align="center" valign="top" rowspan="1" colspan="1">49&#x02013;55</td></tr><tr><td align="left" valign="top" rowspan="1" colspan="1">&#x02003;Hip circumference (cm)</td><td align="center" valign="top" rowspan="1" colspan="1">56</td><td align="center" valign="top" rowspan="1" colspan="1">52&#x02013;59</td><td align="center" valign="top" rowspan="1" colspan="1">56</td><td align="center" valign="top" rowspan="1" colspan="1">52&#x02013;60</td><td align="center" valign="top" rowspan="1" colspan="1">55</td><td align="center" valign="top" rowspan="1" colspan="1">52&#x02013;59</td></tr><tr><td align="left" valign="top" rowspan="1" colspan="1">&#x02003;Waist-to-hip ratio</td><td align="center" valign="top" rowspan="1" colspan="1">0.94</td><td align="center" valign="top" rowspan="1" colspan="1">0.90&#x02013;0.98</td><td align="center" valign="top" rowspan="1" colspan="1">0.94</td><td align="center" valign="top" rowspan="1" colspan="1">0.90&#x02013;0.98</td><td align="center" valign="top" rowspan="1" colspan="1">0.94</td><td align="center" valign="top" rowspan="1" colspan="1">0.91&#x02013;0.98</td></tr></tbody></table><table-wrap-foot><fn id="TFN1"><label>a</label><p>Averaged over pregnancy</p></fn></table-wrap-foot></table-wrap><table-wrap id="T3" position="float" orientation="landscape"><label>Table 3</label><caption><p>Estimated cumulative effects of prenatal PM<sub>2.5</sub> exposure over gestation: accounting for time-varying interaction by sex, sensitive windows, and within-window effects identified by BDLIM<xref rid="TFN2" ref-type="table-fn">a</xref></p></caption><table frame="hsides" rules="groups"><thead><tr><th valign="bottom" rowspan="3" align="left" colspan="1"><italic>Anthropometry indices</italic></th><th colspan="3" valign="middle" align="center" rowspan="1">Girls</th><th colspan="3" valign="middle" align="center" rowspan="1">Boys</th></tr><tr><th colspan="6" valign="bottom" align="left" rowspan="1">
<hr/></th></tr><tr><th valign="middle" align="center" rowspan="1" colspan="1">Cumulative Effect</th><th colspan="2" valign="middle" align="center" rowspan="1">95% CI</th><th valign="middle" align="center" rowspan="1" colspan="1">Cumulative Effect</th><th colspan="2" valign="middle" align="center" rowspan="1">95% CI</th></tr></thead><tbody><tr><td align="left" valign="top" rowspan="1" colspan="1">BMI z-score</td><td align="center" valign="top" rowspan="1" colspan="1">&#x02212;0.12</td><td align="center" valign="top" rowspan="1" colspan="1">&#x02212;0.37</td><td align="center" valign="top" rowspan="1" colspan="1">0.03</td><td align="center" valign="top" rowspan="1" colspan="1"><bold>0.21</bold></td><td align="center" valign="top" rowspan="1" colspan="1"><bold>0.003</bold></td><td align="center" valign="top" rowspan="1" colspan="1"><bold>0.37</bold></td></tr><tr><td align="left" valign="top" rowspan="1" colspan="1">Fat mass (kg)</td><td align="center" valign="top" rowspan="1" colspan="1">0.03</td><td align="center" valign="top" rowspan="1" colspan="1">&#x02212;0.29</td><td align="center" valign="top" rowspan="1" colspan="1">0.28</td><td align="center" valign="top" rowspan="1" colspan="1"><bold>0.36</bold></td><td align="center" valign="top" rowspan="1" colspan="1"><bold>0.12</bold></td><td align="center" valign="top" rowspan="1" colspan="1"><bold>0.68</bold></td></tr><tr><td align="left" valign="top" rowspan="1" colspan="1">Waist-to-hip ratio</td><td align="center" valign="top" rowspan="1" colspan="1"><bold>0.023</bold></td><td align="center" valign="top" rowspan="1" colspan="1"><bold>0.01</bold></td><td align="center" valign="top" rowspan="1" colspan="1"><bold>0.03</bold></td><td align="center" valign="top" rowspan="1" colspan="1">0.006</td><td align="center" valign="top" rowspan="1" colspan="1">&#x02212;0.0001</td><td align="center" valign="top" rowspan="1" colspan="1">0.01</td></tr></tbody></table><table-wrap-foot><fn id="TFN2"><label>a</label><p>Models were adjusted for maternal age, race/ethnicity, education, pre-pregnancy BMI, and child&#x02019;s age at anthropometric measurement; corresponding to per &#x003bc;g/m<sup>3</sup> increase in PM<sub>2.5</sub>.</p></fn></table-wrap-foot></table-wrap><boxed-text id="BX1" position="float" orientation="portrait"><caption><title>Highlights</title></caption><list list-type="bullet" id="L1"><list-item><p id="P33">Implementation of a novel data-driven approach to objectively identify sensitive windows of prenatal PM<sub>2.5</sub> on childhood anthropometry.</p></list-item><list-item><p id="P34">Time-dependent associations and effect modification by sex were found based on different anthropometric indices.</p></list-item><list-item><p id="P35">Understanding such sex difference in temporal associations may provide insights into underlying mechanisms.</p></list-item></list></boxed-text></floats-group></article>