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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">101087507</journal-id><journal-id journal-id-type="pubmed-jr-id">29126</journal-id><journal-id journal-id-type="nlm-ta">Clim Change</journal-id><journal-id journal-id-type="iso-abbrev">Clim Change</journal-id><journal-title-group><journal-title>Climatic change</journal-title></journal-title-group><issn pub-type="ppub">0165-0009</issn></journal-meta><article-meta><article-id pub-id-type="pmid">25530644</article-id><article-id pub-id-type="pmc">4267285</article-id><article-id pub-id-type="doi">10.1007/s10584-014-1290-1</article-id><article-id pub-id-type="manuscript">NIHMS643008</article-id><article-categories><subj-group subj-group-type="heading"><subject>Article</subject></subj-group></article-categories><title-group><article-title>Spatially resolved estimation of ozone-related mortality in the United States under two Representative Concentration Pathways (RCPs) and their uncertainty</article-title></title-group><contrib-group><contrib contrib-type="author"><name><surname>Kim</surname><given-names>Young-Min</given-names></name><xref ref-type="aff" rid="A1">1</xref></contrib><contrib contrib-type="author"><name><surname>Zhou</surname><given-names>Ying</given-names></name><xref ref-type="aff" rid="A1">1</xref></contrib><contrib contrib-type="author"><name><surname>Gao</surname><given-names>Yang</given-names></name><xref ref-type="aff" rid="A2">2</xref></contrib><contrib contrib-type="author"><name><surname>Fu</surname><given-names>Joshua S.</given-names></name><xref ref-type="aff" rid="A3">3</xref></contrib><contrib contrib-type="author"><name><surname>Johnson</surname><given-names>Brent A.</given-names></name><xref ref-type="aff" rid="A4">4</xref></contrib><contrib contrib-type="author"><name><surname>Huang</surname><given-names>Cheng</given-names></name><xref ref-type="aff" rid="A5">5</xref></contrib><contrib contrib-type="author"><name><surname>Liu</surname><given-names>Yang</given-names></name><xref ref-type="aff" rid="A1">1</xref><xref rid="FN1" ref-type="author-notes">*</xref></contrib></contrib-group><aff id="A1"><label>1</label>Department of Environmental Health, Rollins School of Public Health, Emory University, 1518 Clifton Rd. NE, Atlanta, Georgia, USA</aff><aff id="A2"><label>2</label>Atmospheric Science and Global Change Division, Pacific Northwest National Laboratory, 902 Battelle Blvd, Richland, Washington, USA</aff><aff id="A3"><label>3</label>Department of Civil and Environmental Engineering, University of Tennessee, 325 John D. Tickle Building, Knoxville, Tennessee, USA</aff><aff id="A4"><label>4</label>Department of Biostatistics and Computational Biology, University of Rochester, 601 Elmwood Ave. Box 630, Rochester, NY, USA</aff><aff id="A5"><label>5</label>Department of Global Health and Department of Environmental and Occupational Health, Milken Institute School of Public Health, George Washington University, 950 New Hampshire Ave, Washington, DC, USA</aff><author-notes><corresp id="FN1"><label>*</label>Corresponding author: Dr. Yang Liu, Department of Environmental Health, Rollins School of Public Health, Emory University, 1518 Clifton Rd. NE, Atlanta GA 30322 USA. Telephone: +1 404 727 2131; Fax: +1 404 727 8744, <email>yang.liu@emory.edu</email></corresp></author-notes><pub-date pub-type="nihms-submitted"><day>18</day><month>11</month><year>2014</year></pub-date><pub-date pub-type="epub"><day>16</day><month>11</month><year>2014</year></pub-date><pub-date pub-type="ppub"><day>1</day><month>1</month><year>2015</year></pub-date><pub-date pub-type="pmc-release"><day>01</day><month>1</month><year>2016</year></pub-date><volume>128</volume><issue>1-2</issue><fpage>71</fpage><lpage>84</lpage><!--elocation-id from pubmed: 10.1007/s10584-014-1290-1--><abstract><p id="P1">The spatial pattern of the uncertainty in air pollution-related health impacts due to climate change has rarely been studied due to the lack of high-resolution model simulations, especially under the Representative Concentration Pathways (RCPs), the latest greenhouse gas emission pathways. We estimated future tropospheric ozone (O<sub>3</sub>) and related excess mortality and evaluated the associated uncertainties in the continental United States under RCPs. Based on dynamically downscaled climate model simulations, we calculated changes in O<sub>3</sub> level at 12 km resolution between the future (2057&#x02013;2059) and base years (2001&#x02013;2004) under a low-to-medium emission scenario (RCP4.5) and a fossil fuel intensive emission scenario (RCP8.5). We then estimated the excess mortality attributable to changes in O<sub>3</sub>. Finally, we analyzed the sensitivity of the excess mortality estimates to the input variables and the uncertainty in the excess mortality estimation using Monte Carlo simulations. O<sub>3</sub>-related premature deaths in the continental U.S. were estimated to be 1,312 deaths/year under RCP8.5 (95% confidence interval (CI): 427 to 2,198) and &#x02212;2,118 deaths/year under RCP4.5 (95% CI: &#x02212;3,021 to &#x02212;1,216), when allowing for climate change and emissions reduction. The uncertainty of O<sub>3</sub>-related excess mortality estimates was mainly caused by RCP emissions pathways. Excess mortality estimates attributable to the combined effect of climate and emission changes on O<sub>3</sub> as well as the associated uncertainties vary substantially in space and so do the most influential input variables. Spatially resolved data is crucial to develop effective community level mitigation and adaptation policy.</p></abstract><kwd-group><kwd>climate change</kwd><kwd>ozone</kwd><kwd>mortality</kwd><kwd>uncertainty</kwd><kwd>Representative Concentration Pathways (RCPs)</kwd><kwd>spatial variation</kwd></kwd-group></article-meta></front><body><sec id="S1"><title>1 Introduction</title><p id="P2">Climate change, such as changes in air temperature, precipitation and air circulation, and emission change, can affect the chemical reactions in both gas phase and aerosols; and thus may further impact air quality. In particular, tropospheric ozone (O<sub>3</sub>) has been of concern in the context of climate change because the production of secondary air pollutants depends strongly on meteorological conditions. Exposure to elevated O<sub>3</sub> concentrations have been associated with excess mortality (EM), including respiratory and cardiovascular mortality (<xref rid="R1" ref-type="bibr">Bell et al. 2004</xref>; <xref rid="R9" ref-type="bibr">Jerrett et al. 2009</xref>; <xref rid="R12" ref-type="bibr">Levy et al. 2005</xref>).</p><p id="P3">Previous studies have estimated air pollution-related health impacts due to future climate change (<xref rid="R2" ref-type="bibr">Bell et al. 2007</xref>; <xref rid="R4" ref-type="bibr">Chang et al. 2010</xref>; <xref rid="R8" ref-type="bibr">Jackson et al. 2010</xref>; <xref rid="R10" ref-type="bibr">Knowlton et al. 2004</xref>; <xref rid="R15" ref-type="bibr">Post et al. 2012</xref>; <xref rid="R21" ref-type="bibr">Tagaris et al. 2009</xref>). For example, <xref rid="R2" ref-type="bibr">Bell et al. (2007)</xref> found that O<sub>3</sub> levels are estimated to increase under the Intergovernmental Panel on Climate Change (IPCC) Special Report on Emissions Scenarios (SRES)-A2 scenario, with the largest increases in cities with present-day high O<sub>3</sub> pollution. The elevated O<sub>3</sub> levels correspond to approximately a 0.11% to 0.27% increase in daily mortality for 50 cities in the United States (U.S.). <xref rid="R10" ref-type="bibr">Knowlton et al. (2004)</xref> found a median 4.5% increase in O<sub>3</sub>-related acute mortality in New York City and the surrounding counties under the SRES-A2 scenario. <xref rid="R15" ref-type="bibr">Post et al. (2012)</xref> addressed a wide range of O<sub>3</sub>-related health effects, from roughly 600 deaths avoided to 2,500 deaths attributable to climate change in the U.S.; the heath impact varied by modeling choices for O<sub>3</sub> concentration simulation, as well as by assumptions for future climate and population change. Using the SRES-A1B scenario, the same population, and the same air pollutants emissions as in 2001, <xref rid="R21" ref-type="bibr">Tagaris et al. (2009)</xref> found that the O<sub>3</sub> change due to future climate change could cause an increase in annual premature deaths by 300 deaths in 2050 across the continental U.S.</p><p id="P4">However, the studies reported so far have a few limitations. First, few studies have comprehensively investigated the uncertainty of air pollution-related EM estimates reflecting all possible sources. <xref rid="R10" ref-type="bibr">Knowlton et al. (2004)</xref> performed sensitivity analyses focusing on emission change, population growth, and subsequent O<sub>3</sub> change. <xref rid="R15" ref-type="bibr">Post et al. (2012)</xref> investigated the sensitivity of their estimates to modeling choices for the simulation of future O<sub>3</sub> levels and reported national-level results. The uncertainties of EM estimates related to air quality changes due to climate change can be attributed to various factors, such as greenhouse gas (GHG) emissions scenarios, model performances, concentration-response functions (CRF), population growth, spatial domain, grid resolution, periods modeled, and mortality rates, all of which may vary in space. Therefore, uncertainty analyses, including all the variables associated with health risks due to future climate change and considering the spatial variation of the uncertainties, should be taken into account.</p><p id="P5">Second, the estimated impacts on population health can be significantly influenced by emission scenarios. To date, few studies have evaluated the health impact of future O<sub>3</sub> concentration changes based on the latest GHG emission scenarios, i.e., the Representative Concentration Pathways (RCPs) (<xref rid="R14" ref-type="bibr">Moss et al. 2010</xref>; <xref rid="R25" ref-type="bibr">Van Vuuren et al. 2011</xref>). As a set, the RCPs cover a range of forcing levels associated with emission scenarios published in the literature, representing present and planned air quality legislation for the projection of regional air pollutant emissions, as well as GHG atmospheric concentrations. Therefore, the combined effect of air pollutant emissions and GHG concentration changes on air quality could differ from previous studies based on SRES and subsequently result in a different health impact. <xref rid="R26" ref-type="bibr">West et al. (2013)</xref> simulated the co-benefits of global GHG reductions on air quality and human health based on RCP4.5. However, the study focused on the effect of GHG reductions at the global and regional scales, and neither analyzed the uncertainty of the estimated EMs, nor estimated community-specific EMs.</p><p id="P6">Finally, few studies have analyzed the distribution of the estimated impacts of O<sub>3</sub> at a fine spatial scale over a large region. <xref rid="R2" ref-type="bibr">Bell et al. (2007)</xref> presented O<sub>3</sub>-related mortality covering 50 cities in the U.S., but did not focus on the spatial variation of EM. <xref rid="R15" ref-type="bibr">Post et al. (2012)</xref> also did not analyze the spatial variation of O<sub>3</sub>-related health impacts of climate change, but focused on the variation of health impacts related to modeling choices. <xref rid="R21" ref-type="bibr">Tagaris et al. (2009)</xref> presented spatially resolved O<sub>3</sub>-related EM, but only state-level estimates were reported. The most recent study by <xref rid="R26" ref-type="bibr">West et al. (2013)</xref> is based on the spatial resolution of 2&#x000b0;&#x000d7;2.5&#x000b0;, which is far beyond community size.</p><p id="P7">In this analysis, we applied high-resolution climate model simulations to project the change in O<sub>3</sub> levels under two RCP emission pathways over the entire continental U.S. Then, we calculated the change of county-level EM due to exposure to O<sub>3</sub> in the future (2057&#x02013;2059) from the base years (2001&#x02013;2004). Finally, we characterized the uncertainty in the health impact estimates through each stage of health risk modeling.</p></sec><sec id="S2"><title>2 Methodology</title><sec id="S3"><title>2.1 Air quality simulations</title><p id="P8">A coupled global and regional climate modeling system was developed to provide 2001&#x02013;2004 and 2057&#x02013;2059 air pollution levels in the continental U.S. at 12 km resolution. The configuration and evaluation of this system are briefly described here (More details are addressed in our previous study, <xref rid="R6" ref-type="bibr">Gao et al. 2013</xref>). The state-of-the-art earth system model Community Earth System Model version 1.0 (CESM1.0), developed at the National Center for Atmospheric Research (NCAR), can simultaneously simulate the Earth&#x02019;s atmosphere, ocean, land surface, and sea-ice (<xref rid="R7" ref-type="bibr">Gent et al. 2011</xref>). In this study, the atmospheric chemistry was integrated with the atmospheric component, Community Atmosphere Model, referred to as the CAM-Chem (Lamarque et al. 2012). CESM/CAM-Chem was used in the long-term global climate and chemistry simulations, from 1850 to 2005 as present climate and 2005 to 2100 for RCP4.5 and RCP8.5, with a spatial resolution of 0.9&#x000b0; (latitude) &#x000d7;1.25&#x000b0; (longitude). The CESM-projected meteorological fields were used as the initial and boundary conditions of the regional climate model, Weather Research and Forecasting model (WRF) 3.2.1 (<xref rid="R19" ref-type="bibr">Skamarock and Klemp 2008</xref>). Chemical species simulated by the atmospheric chemistry component of the CESM/CAM-Chem were mapped to the regional air quality model, Community Multi-scale Air Quality Model version 5.0 (CMAQ 5.0; <xref rid="R27" ref-type="bibr">Wong et al. 2012</xref>).</p><p id="P9">We selected RCP4.5 and RCP8.5 to evaluate and compare future O<sub>3</sub> level and its related health impact. RCP4.5 corresponds to the stabilization of radiative forcing at 4.5 W/m<sup>2</sup> in the year 2100 without ever exceeding that value, and it assumes a lower population growth rate, high income, and rapid technology development (<xref rid="R22" ref-type="bibr">Thomson et al. 2011</xref>). RCP8.5 is a high-GHG emission pathway corresponding to the stabilization of radiative forcing at 8.5 W/m<sup>2</sup> in the year 2100, and it assumes high population growth rate, lower income, and lower technology development rate in developing countries (<xref rid="R17" ref-type="bibr">Riahi et al. 2011</xref>). The emissions trends in the RCPs are mainly controlled by the driving forces (population, income, energy use, etc.), climate policy, and air pollution control policy (<xref rid="R25" ref-type="bibr">Van Vuuren et al. 2011</xref>). In terms of climate policy, RCP4.5 has more stringent GHG emissions control, while RCP8.5 assumes no climate policy, even though both scenarios are projected to increase the use of renewable resources. Unlike the SRES scenarios, where anthropogenic emissions related to air pollutants have a modest decrease or even increase (under A1FI), all RCPs include stringent air pollution control policies with any increase in income. Thus, under the RCPs, O<sub>3</sub> precursors including carbon monoxide (CO), nitrogen oxides (NOx), and non-methane volatile organic compounds (NMVOCs), are projected to decrease in the U.S. (See Table 2 in <xref rid="R6" ref-type="bibr">Gao et al. (2013</xref>) for projection factor for anthropogenic emissions). However, the GHG emissions increase, particularly the methane concentrations under RCP8.5, will negatively affect O<sub>3</sub> air quality. As a result, the projected O<sub>3</sub> levels in 2057&#x02013;2059 in this study reflect the influence of both climate change and emissions control on O<sub>3</sub> precursors.</p><p id="P10">Using CMAQ-simulated hourly O<sub>3</sub>, we computed annual means of maximum daily 8-hour average O<sub>3</sub> (MDA8 O<sub>3</sub>) and maximum daily 1-hour average O<sub>3</sub> (MDA1 O<sub>3</sub>) for each 12 km grid cell. We then aggregated the 12&#x000d7;12 km grid of O<sub>3</sub> concentration to the county level (3,109 counties in the continental U.S.). We determined the population-weighted centroid of each county and then averaged the data in the nine grid cells closest to the centroid. We calibrated the simulated O<sub>3</sub> level for bias reduction. To compare the CMAQ-simulated values with observations at the county level, we used monitored data from the U.S. Environmental Protection Agency (USEPA) Air Quality System (USEPA-AQS) and the Environmental Benefits Mapping and Analysis Program Community Edition 1.0.8 (BenMAP-CE) developed by the USEPA (<xref rid="R24" ref-type="bibr">USEPA 2012</xref>). Using BenMAP-CE, we calculated county-level O<sub>3</sub>, applying the Voronoi neighbor averaging algorithm, which interpolates monitored O<sub>3</sub> data to unmonitored locations. BenMAP-CE first identifies the set of monitors that best &#x0201c;surround&#x0201d; the population center of the grid cell and then takes an inverse-distance weighted average of the monitoring values (<xref rid="R5" ref-type="bibr">Fann et al. 2012</xref>; <xref rid="R24" ref-type="bibr">USEPA 2012</xref>). We matched the CMAQ-simulated values with the interpolated, county-level observations for 2001&#x02013;2004. After calculating the county-level ratios of CMAQ simulations over observations in the base years, we calibrated the CMAQ-simulated MDA8 O<sub>3</sub> and MDA1 O<sub>3</sub> concentrations for both 2001&#x02013;2004 and 2057&#x02013;2059 using these calibration ratios for each county (<xref rid="SD1" ref-type="supplementary-material">Figure S1, Supplementary Material</xref>).</p></sec><sec id="S4"><title>2.2 Projection of future population</title><p id="P11">The county-level population projections for 2055 were taken from the Integrated Climate and Land-Use Scenarios (ICLUS) project (<xref rid="R23" ref-type="bibr">USEPA 2009</xref>). The ICLUS population projections were based on a standard cohort-component method, in which the initial U.S. population in 2005 was divided into age-, gender-, and race/ethnicity-specific cohorts. Cohort size was estimated over time separately for each cohort, with various scenarios regarding fertility, mortality, and migration (<xref rid="R16" ref-type="bibr">Preston et al. 2001</xref>). In ICLUS, four scenarios were considered: A1, low fertility, high net domestic migration, and high net international migration; B1, low fertility, low net domestic migration, and high net international migration; A2, high fertility, high net domestic migration, and medium net international migration; and B2, medium fertility, low net domestic migration, and medium net international migration, with the categories (i.e., low, medium, and high) defined in the IPCC-SRES. Mortality rate was kept constant across all scenarios because the U.S. Census Bureau did not release alternative scenarios for mortality rates. Although the four ICLUS scenarios did not cover the widest possible range of population size, they represented combinations of potential fertility, mortality, and migrations in the future. A more detailed discussion on ICLUS population projection was presented elsewhere (<xref rid="R23" ref-type="bibr">USEPA 2009</xref>).</p></sec><sec id="S5"><title>2.3 Excess mortality due to exposure to air pollution</title><p id="P12">To calculate baseline future mortality incidence without the impact of climate and O<sub>3</sub> precursors changes, we used predicted county-specific mortality rates adopted in BenMAP-CE, which is derived from a projected, age-specific ratio of the 2050 mortality rate to the 2005 mortality rate. The mortality rates do not, however, explicitly account for climate change. The basis for the future mortality rate projection is described in detail elsewhere (<xref rid="R24" ref-type="bibr">USEPA 2012</xref>). We used non-accidental, all-cause mortality to be consistent with the CRF used in this study.</p><p id="P13">To calculate EM due to O<sub>3</sub> exposure, we based the CRFs on the association between non-accidental, all-cause mortality and short-term exposure to MDA8 O<sub>3</sub> (<xref rid="R1" ref-type="bibr">Bell et al. 2004</xref>) and MDA1 O<sub>3</sub> (<xref rid="R1" ref-type="bibr">Bell et al. 2004</xref>; <xref rid="R12" ref-type="bibr">Levy et al. 2005</xref>). <xref rid="R1" ref-type="bibr">Bell et al. (2004)</xref> analyzed the relationship between O<sub>3</sub> and non-accidental, all-cause mortality using the National Morbidity, Mortality, and Air Pollution Study (NMMAPS) dataset, which covers 95 U.S. cities. <xref rid="R12" ref-type="bibr">Levy et al. (2005)</xref> derived the relative risk from meta-analyses of 27 studies for North America. There might be publication bias in the meta-analyses results. Nevertheless, the cities chosen in these studies have a wide range of O<sub>3</sub> concentrations and represent both rural and urban populations. We therefore applied the CRF coefficients in <xref rid="R1" ref-type="bibr">Bell et al. (2004)</xref> and <xref rid="R12" ref-type="bibr">Levy et al. (2005)</xref> (<xref rid="SD1" ref-type="supplementary-material">Table S1, Supplementary Material</xref>).</p><p id="P14">Finally, we estimated the change in county-level EM as follows (<xref rid="R5" ref-type="bibr">Fann et al. 2012</xref>; <xref rid="R15" ref-type="bibr">Post et al. 2012</xref>): 
<disp-formula id="FD1"><label>(1)</label><mml:math id="M1" display="block" overflow="scroll"><mml:mi mathvariant="normal">&#x00394;</mml:mi><mml:msub><mml:mi>y</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi mathvariant="italic">POP</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>&#x000d7;</mml:mo><mml:msub><mml:mrow><mml:mi>M</mml:mi><mml:mi>R</mml:mi></mml:mrow><mml:mi>i</mml:mi></mml:msub><mml:mo>&#x000d7;</mml:mo><mml:msup><mml:mi>e</mml:mi><mml:mrow><mml:mi>&#x003b2;</mml:mi><mml:mo>&#x000d7;</mml:mo><mml:mi mathvariant="normal">&#x00394;</mml:mi><mml:msub><mml:mi>C</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:msup><mml:mo>-</mml:mo><mml:mn>1</mml:mn></mml:math></disp-formula> where &#x00394;y is the expected number of deaths per year attributable to changing O<sub>3</sub> level at county <italic>i; POP<sub>i</sub></italic> is population in county <italic>i; MR<sub>i</sub></italic> is population mortality rate; <italic>POP<sub>i</sub></italic>&#x000d7;<italic>MR<sub>i</sub></italic> indicates baseline mortality incidence (i.e., assuming no climate change and O<sub>3</sub> precursors emission change); <italic>&#x003b2;</italic> is the coefficient of the concentration-response function for O<sub>3</sub>; <italic>&#x00394;C<sub>i</sub></italic> is the concentration difference of O<sub>3</sub> between 2057&#x02013;2059 and 2001&#x02013;2004.</p><p id="P15">We estimated EM for non-accidental, all-cause mortality associated with O<sub>3</sub> for both year round and warm season (May through September). Lastly, we analyzed the spatial variation of EM by county and the nine climate regions defined by the National Climatic Data Center (<ext-link ext-link-type="uri" xlink:href="http://www.ncdc.noaa.gov/temp-and-precip/us-climate-regions.php">http://www.ncdc.noaa.gov/temp-and-precip/us-climate-regions.php</ext-link>) (<xref rid="F1" ref-type="fig">Fig. 1</xref>).</p></sec><sec id="S6"><title>2.4 Sensitivity and Uncertainty analyses</title><p id="P16">To determine the sensitivity of the EM to various factors (i.e., two RCPs, four future population projections, and three CRF coefficients), we conducted an analysis of variance (ANOVA) for EM estimates to decompose the total variability in estimated EM into the contribution of each factor. In contrast to the approach in a previous study (<xref rid="R15" ref-type="bibr">Post et al. 2012</xref>) which used national-level EM estimates, we conducted the ANOVA by county and then calculated the county-level percentage of sum of squares (SS) for RCPs, population projections, and CRF coefficients. We also plotted the county-level percentage of SS to visually analyze the spatial distribution of the sensitivity to the factors.</p><p id="P17">The ANOVA apportions the variability in the mean estimated air pollution EM in each county to the mean levels of each factor in <xref rid="FD1" ref-type="disp-formula">Equation 1</xref> without considering their uncertainties (i.e., each factor has a distribution of possible values). We used Monte Carlo simulations to evaluate the uncertainty of EM estimates attributable to the ranges of CRF coefficients, mortality rates, and concentration changes of O<sub>3</sub>. CRF coefficients and mortality rates are assumed to be normally distributed with independent, county-specific means and standard errors. As there is no standard error for the projected 2050 mortality rate, we used the standard error for the year 2009 at the county level provided by the Centers for Disease Control and Prevention (<xref rid="R3" ref-type="bibr">CDC 2012</xref>). For concentration changes of O<sub>3</sub>, triangular-distributed random variables were generated using the minimum, maximum, and mean of three annual mean values. Random sampling and EM calculations were repeated 1,000 times for each county. Then, we computed the Monte Carlo means and standard errors of the 1,000 EM estimates by county. By summing all the county-level EMs derived from the Monte Carlo simulations, we estimated national-level EM estimates and their 95 % confidence intervals (CIs). We also calculated the probability distributions of all the national EM due to future O<sub>3</sub> change.</p></sec></sec><sec id="S7"><title>3 Results</title><sec id="S8"><title>3.1 O<sub>3</sub> change</title><p id="P18">The spatial distributions of county-level O<sub>3</sub> change between the future (2057&#x02013;2059) and the base years (2001&#x02013;2004) are shown in <xref rid="F2" ref-type="fig">Figure 2</xref>. Projected O<sub>3</sub> concentrations by climate region are presented in <xref rid="SD1" ref-type="supplementary-material">Supplementary Material, Table S2</xref>. Changes in estimated county-level MDA8 O<sub>3</sub> ranged from &#x02212;8.8 to 7.5 ppb under RCP4.5 and from &#x02212;3.6 to 11.5 ppb under RCP8.5 across 3,109 counties. Higher O<sub>3</sub> increases in the Northwest, West, and West North Central region are likely caused by higher background O<sub>3</sub> in the spring and winter, as well as an increase of methane emissions in RCP8.5 (<xref rid="R6" ref-type="bibr">Gao et al. 2013</xref>). Nationally, O<sub>3</sub> was projected to decrease under RCP4.5 and to increase under RCP8.5. However, O<sub>3</sub> levels of most counties in the Northwest, West North Central, and West region were projected to increase under RCP8.5 (<xref rid="F2" ref-type="fig">Fig. 2(a)</xref>). Even under RCP4.5, some counties were expected to have higher O<sub>3</sub> levels (<xref rid="F2" ref-type="fig">Fig. 2(b)</xref>).</p></sec><sec id="S9"><title>3.2 O<sub>3</sub>-related excess mortality</title><p id="P19"><xref rid="T1" ref-type="table">Table 1</xref> shows the estimated national-level O<sub>3</sub>-related EM changes between 2001&#x02013;2004 and 2057&#x02013;2059 under the two RCPs. We derived national EM estimates in <xref rid="T1" ref-type="table">Table 1</xref> from the summation of county-level EMs for each ICLUS population scenario and the average of the four ICLUS-based national EMs. Our 95% CIs in <xref rid="T1" ref-type="table">Table 1</xref> are based on 4,000 national-level EMs (1,000 times of Monte Carlo simulations for four population projections) for each RCP. O<sub>3</sub>-related EMs vary by emission pathway, population projection, and CRF. Under RCP8.5, increased MDA8 O<sub>3</sub> resulted in ~1,900 (95% CI: 1,700 to 2,100) premature deaths per year nationwide, when county-level EMs derived from the Monte Carlo simulation were summed using the four population projections in 2057&#x02013;2059 and CRF from <xref rid="R1" ref-type="bibr">Bell et al. (2004)</xref>. In contrast, decreased MDA8 O<sub>3</sub> under the RCP4.5 resulted in the avoidance of ~1,600 (95% CI: 1,300 to 1,800) deaths per year. Projected county-level baseline mortality incidence for 2055 is shown in <xref rid="SD1" ref-type="supplementary-material">Supplementary Material, Figure S2</xref>. During the warm season, lower future MDA8 O<sub>3</sub> levels could result in ~2,400 (95% CI: 2,100 to 2,700) avoided premature deaths under RCP4.5 (<xref rid="T1" ref-type="table">Table 1</xref>). Most of the counties would see a decrease in all-cause mortality under both RCPs, mainly as a result of lower O<sub>3</sub> levels, while some counties in the West and Northwest would see an increase due to higher O<sub>3</sub> levels (<xref rid="SD1" ref-type="supplementary-material">Supplementary Material, Figure S3(a) and (b)</xref>). Decreases in the EMs under RCP8.5 during the warm season, unlike year-round mortality, are related to decreases in O<sub>3</sub> in summer. In other seasons, increases in EMs are due to higher O<sub>3</sub> under RCP8.5 (<xref rid="R6" ref-type="bibr">Gao et al. 2013</xref>).</p><p id="P20">County-level, O<sub>3</sub>-related EM estimates had high spatial variation (<xref rid="F3" ref-type="fig">Fig. 3</xref>). Under RCP8.5, most counties in the Northwest, West North Central, and West were estimated to have an increased O<sub>3</sub>-related EM. Counties with a high population, such as Los Angeles County in California and Cook County in Illinois, showed higher increases in O<sub>3</sub>-related EM. The EMs in these counties appeared to increase even under RCP4.5 (<xref rid="F3" ref-type="fig">Fig. 3(a)</xref>), despite the overall reduction in O<sub>3</sub>-related EM (<xref rid="T1" ref-type="table">Table 1</xref>). The spatial distribution for O<sub>3</sub>-related EM per 100,000 persons was different from that of the absolute values showing greater spatial heterogeneity. All counties in the Northwest showed higher increases in O<sub>3</sub>-related EM per 100,000 persons whereas many counties in the South and Southeast had decreased rates under RCP8.5 (<xref rid="F3" ref-type="fig">Fig. 3(c)</xref>). The standard errors of county-level EM estimates also had high spatial variations as presented in <xref rid="F3" ref-type="fig">Fig. 3(d) and (e)</xref> with Southern California showing the greatest standard errors.</p></sec><sec id="S10" sec-type="methods"><title>3.3 ANOVA analysis</title><p id="P21"><xref rid="T2" ref-type="table">Table 2</xref> shows the percentage contribution of county-level SS from factors in <xref rid="FD1" ref-type="disp-formula">Equation 1</xref> (i.e., CRF coefficient, population, and RCP) to the total SS based on the ANOVA analysis. A greater percentage reflects higher sensitivity of the EM to a specific factor. Overall, O<sub>3</sub>-related EM estimates were the most sensitive to the RCP, which account for almost 80% of the total SS.</p><p id="P22">However, factor contributions also vary widely in space (<xref rid="F4" ref-type="fig">Fig. 4</xref>). Counties in the Northwest, West North Central, West, and Southwest had higher sensitivity to the RCP scenarios (<xref rid="F4" ref-type="fig">Fig. 4(a)</xref>), since the projected O<sub>3</sub> levels in these regions switched from a projected decrease under RCP4.5 to an increase under RCP8.5 (<xref rid="F2" ref-type="fig">Fig. 2(a) and (b)</xref>). In contrast, counties in the Central, South, and Southeast had a higher sensitivity to the population projections.</p></sec><sec id="S11"><title>3.4 Uncertainty analyses</title><p id="P23"><xref rid="F5" ref-type="fig">Figure 5</xref> shows the probability distribution of the estimated, national-level O<sub>3</sub>-related EMs (the national EM is the sum of county-level EMs and each scenario has 1,000 national EM estimates based on the county-level Monte Carlo simulations), accounting for MDA8 O<sub>3</sub> and MDA1 O<sub>3</sub>, two different CRF coefficients, and four population scenarios. O<sub>3</sub>-related EMs ranged from 427 to 2,198 (95% CI) deaths per year, with a mean of 1,312 deaths per year under RCP8.5; and from &#x02212;3,021 to &#x02212;1,216 (95% CI) deaths per year, with a mean of &#x02212;2,118 deaths per year under RCP4.5. The RCPs played a critical role in estimated, O<sub>3</sub>-related EM because O<sub>3</sub> levels were found to increase under RCP8.5 in 2057&#x02013;2059, but decrease under RCP4.5 compared with 2001&#x02013;2004. The probability distribution of the estimated national EM is not smooth because of discrete population projections, averaging hours, and CRF ranges, but its two distinct modes follow the RCPs (<xref rid="F5" ref-type="fig">Fig. 5(a)</xref>). The combined probability distribution function from the two RCPs predicts a ~50% chance that national O<sub>3</sub>-related EM will be greater than the base years, and a ~10% chance that O<sub>3</sub>-related EM in the future will be over 1,900 deaths per year more than the base years (<xref rid="F5" ref-type="fig">Fig. 5(b)</xref>).</p></sec></sec><sec id="S12"><title>4 Discussion</title><p id="P24">Our results based on high-resolution climate model simulations illustrate that the effect of O<sub>3</sub> change on mortality varies by emissions pathway, population projection, and CRF. Even within the same RCP and population scenario, the estimated EMs appear to vary substantially in space as both simulated O<sub>3</sub> level and baseline mortality incidence vary by community. The large spatial variability emphasizes that assessments of the health effect of future O<sub>3</sub> change caused by climate change and emission policy should be spatially resolved so that the mitigation and adaptation policy developed based on these assessments can be more cost effective.</p><p id="P25">Our results from the combined effect of climate change and emissions reductions on O<sub>3</sub> precursors are consistent with a previous study by <xref rid="R20" ref-type="bibr">Tagaris et al. (2007)</xref>, which reported decreases in mean summer MDA8 O<sub>3</sub> concentrations when both climate change under the SRES A1B scenario and reductions in air pollutant emissions were considered. The results of the current study also demonstrate that future O<sub>3</sub> level during the warm season will decrease under the RCPs because of the emission reduction for O<sub>3</sub> precursors planned in the U.S., which resulted in avoided adverse health effects of potential climate change-induced O<sub>3</sub> increase.</p><p id="P26">Annual changes in O<sub>3</sub> levels between 2057&#x02013;2059 and 2001&#x02013;2004 showed dramatic differences between the two RCPs (i.e., the increase under RCP8.5 and decrease under RCP4.5). The projected emissions in RCPs consider both GHGs changes and air pollution control policies (<xref rid="R14" ref-type="bibr">Moss et al. 2010</xref>; <xref rid="R25" ref-type="bibr">Van Vuuren et al. 2011</xref>). The GHG emission scenarios based on the RCPs are comparable with SRES scenarios. For example, the CO<sub>2</sub> concentrations in RCP4.5 and RCP8.5 are close to SRES B1 and A1FI, respectively (<xref rid="R13" ref-type="bibr">Meehl et al. 2011</xref>). The air pollutant emissions under SRES are projected to decrease only slightly or, depending on the emissions scenario, even increase. However, the RCPs assume that by the end of 2050s, CO is projected to decrease by more than 70% under both RCPs, and NMVOC and NOx by almost 70% and 50% under RCP8.5 and 40% and 60% under RCP4.5 in the U.S., respectively (<xref rid="R6" ref-type="bibr">Gao et al. 2013</xref>). On the other hand, methane emissions are predicted to increase by 61% in 2050s under RCP8.5, compared to 2005, whereas it would decrease by 10% under RCP4.5 (<xref rid="R6" ref-type="bibr">Gao et al. 2013</xref>). Such differences in methane mixing ratios under the two RCPs will affect O<sub>3</sub> levels more greatly than the difference in NO<sub>x</sub> emissions (<xref rid="R11" ref-type="bibr">Lamarque et al. 2011</xref>). <xref rid="R26" ref-type="bibr">West et al. (2013)</xref> also pointed out that O<sub>3</sub> reduction is largely (89%) due to co-emitted air pollutants in 2100, with only 11% explained by the change in meteorology due to climate change; and is strongly influenced by the decrease in methane emissions under RCP4.5. Therefore, we can infer that the increase in annual O<sub>3</sub> under RCP8.5, despite the decrease in other O<sub>3</sub> precursors, is mainly caused by the increase in future methane emissions.</p><p id="P27">Annual changes in O<sub>3</sub> levels between the present and the future vary substantially by region. Under RCP8.5, O<sub>3</sub> levels in the Northwest, West, and West North Central were projected to increase more than the other regions (e.g., an annual increase of 2.6 ppb in MDA8 O<sub>3</sub> in the Northwest (<xref rid="SD1" ref-type="supplementary-material">Supplementary Material, Table S2</xref>)), resulting in more O<sub>3</sub>-related EM (<xref rid="F2" ref-type="fig">Fig. 2(b)</xref> and <xref rid="F3" ref-type="fig">Fig. 3(b)</xref>). Both the sensitivity and the uncertainty of the EM estimates also vary by region. The dramatic changes in annual O<sub>3</sub> between RCPs played a critical role in the high sensitivity of O<sub>3</sub>-related EM to RCP. The high sensitivity of O<sub>3</sub>-related EMs to the RCPs could be related to the strong dependence of O<sub>3</sub> production on temperature (<xref rid="R18" ref-type="bibr">Seinfeld and Pandis 2006</xref>) as well as the methane emission difference between the two RCPs.</p><p id="P28">A major strength of our study was our use of O<sub>3</sub> simulations at a high resolution (i.e., 12&#x000d7;12 km). We analyzed county-level spatial variations and uncertainty of the EM due to emissions changes, as well as climate change. Previous studies were mostly based on coarser spatial resolutions (e.g., 36&#x000d7;36 km). By providing a better representation of the atmospheric circulation and topographical features, our high-resolution simulations generated more accurate O<sub>3</sub> levels. Furthermore, we considered several possible sources of uncertainty, including RCP-based O<sub>3</sub> change, population growth, mortality rate, and CRF. The framework to analyze the uncertainty of health effect of climate change proposed in this study can be utilized in decision support for developing both national and community level adaptation policy. To the best of our knowledge, this is the first RCP-based uncertainty analyses on the health impacts of air pollution change.</p><p id="P29">Our study has a few limitations. First, limited by computational resources, we did not consider differences between model systems to predict climate and O<sub>3</sub> changes in the sensitivity analyses. It is related to high resolution model simulations which our analyses are based on and to the fact that there are very limited applications of dynamical downscaling under the new RCPs until now (<xref rid="R6" ref-type="bibr">Gao et al. 2013</xref>). As a result, our findings do not reflect the uncertainty related to using different climate models. Second, we used CRFs derived from short-term exposures to O<sub>3</sub>, as there are currently no epidemiological data based on long-term effects for all-cause mortality with statistical significance. However, the effects of short- and long-term O<sub>3</sub> exposure on all-cause mortality will remain unclear until epidemiological research investigates the association of all-cause mortality to long-term O<sub>3</sub> exposure (<xref rid="R5" ref-type="bibr">Fann et al. 2012</xref>). When we assessed the uncertainty from CRFs in the Monte Carlo analysis, we gave each study equal weight. This could artificially inflate our final uncertainty estimates. Thirdly, only three future years (2055&#x02013;2057) were simulated for future O<sub>3</sub> changes in this study due to limited computational resources. More studies including more years are required in the future. Lastly, it would be more appropriate to sum estimated daily excess mortality over the years than to estimate based on annual averaged O<sub>3</sub> changes since the CRFs are based on daily data. However, because CMAQ-simulated O<sub>3</sub> is driven by climate projections, daily O<sub>3</sub> levels have too much uncertainty and daily-level calibration of future O<sub>3</sub> levels is not meaningful. Further investigation is needed to determine the impact of our simplified method on the EM estimates.</p></sec><sec id="S13"><title>5 Conclusions</title><p id="P30">Using the latest emissions pathways (RCPs), which reflect both planned air quality legislation and GHG emission changes for the future, we analyzed county-level O<sub>3</sub>-related EMs attributable to O<sub>3</sub> changes in the late 2050s and their related uncertainties. The importance of spatially resolved analysis is demonstrated in our O<sub>3</sub>-related EM estimates. County-level, O<sub>3</sub>-related EM estimates have a wide spatial variation, ranging from positive to negative values and depending on the RCP and region. When both RCPs are considered together, the probability of climate change causing a more substantial public health impact (e.g. over 1,900 excess deaths nationwide) is not trivial, and this burden will fall disproportionally on the Northwestern U.S. Furthermore, regardless of the reduction in emissions of some O<sub>3</sub> precursors, O<sub>3</sub>-related EM may still increase in the U.S. under RCP8.5, a fossil fuel intensive scenario. To prevent the potential adverse health effects due to O<sub>3</sub>-level increases triggered by climate change, it is necessary to rigorously mitigate GHGs and O<sub>3</sub> precursor emissions in order to obtain a lower-carbon dependent future.</p><p id="P31">The uncertainties in the estimated EM are driven by the emission changes described in the RCPs, epidemiological studies, and population projections, all of which include a wide range of possible values to date. Because the contribution and importance of each factor varies spatially, a comprehensive evaluation of the uncertainties covering all input variables is necessary to produce a quantitative health impact assessment of climate change. Future research should also focus on gaining a better understanding of these factors to develop more effective mitigation strategies.</p></sec><sec sec-type="supplementary-material" id="S14"><title>Supplementary Material</title><supplementary-material content-type="local-data" id="SD1"><label>10584_2014_1290_MOESM1_ESM</label><media xlink:href="NIHMS643008-supplement-10584_2014_1290_MOESM1_ESM.docx" orientation="portrait" xlink:type="simple" id="d36e1045" position="anchor"/></supplementary-material></sec></body><back><ack id="S15"><p>This study was supported by the Centers for Disease Control and Prevention (CDC) (Grant No. 5 U01 EH000405) and by the National Institutes of Health (NIH) (Grant No. 1R21ES020225). National Science Foundation through TeraGrid resources provided by National Institute for Computational Sciences (NICS) (TG-ATM110009 and UT-TENN0006) and resources of the Oak Ridge Leadership Computing Facility at the Oak Ridge National Laboratory supported by the Office of Science of the U.S. Department of Energy (DEAC05-00OR22725) were used for the climate and air pollution model simulations. Yang Gao was partly supported by the Office of Science of the U.S. Department of Energy as part of the Regional and Global Climate Modeling Program. 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results</article-title><source>Geosci Model Dev</source><volume>5</volume><issue>2</issue><fpage>299</fpage><lpage>312</lpage></element-citation></ref></ref-list></back><floats-group><fig id="F1" orientation="portrait" position="float"><label>Fig. 1</label><caption><p>Nine climate regions in the United States</p></caption><graphic xlink:href="nihms643008f1"/></fig><fig id="F2" orientation="portrait" position="float"><label>Fig. 2</label><caption><p>Spatial distribution of O<sub>3</sub> changes between 2001&#x02013;2004 and 2057&#x02013;2059 (a) and (b) are MDA8 O<sub>3</sub> changes for year round under RCP4.5 and 8.5, respectively</p></caption><graphic xlink:href="nihms643008f2"/></fig><fig id="F3" orientation="portrait" position="float"><label>Fig. 3</label><caption><p>Spatial distribution of excess mortality in 2057&#x02013;2059 attributable to O<sub>3</sub> changes (a) and (b) indicate annual of MDA8 O<sub>3</sub>&#x02013;related EMs based on mortality risk from <xref rid="R1" ref-type="bibr">Bell et al. (2004)</xref> under RCP4.5 and RCP8.5, respectively (c) is EMs per 100,000 persons due to MDA8 O<sub>3</sub> change under RCP8.5 (d) and (e) are the standard errors (SEs) of county-level EM estimates The means and SEs of EMs are derived from 1,000 Monte Carlo simulations of mortality rate, concentration change, and CRF coefficient Each county-level EM is obtained from the average of four EMs from four ICLUS population scenarios</p></caption><graphic xlink:href="nihms643008f3"/></fig><fig id="F4" orientation="portrait" position="float"><label>Fig. 4</label><caption><p>County-level analysis of variance (ANOVA) results (a), (b), and (c) indicate the percent proportion of the sum of squares of emission pathway (RCP), concentration-response function (CRF), and population scenario (POP) to cover the variance of mean EM attributable to O<sub>3</sub> change, respectively</p></caption><graphic xlink:href="nihms643008f4"/></fig><fig id="F5" orientation="portrait" position="float"><label>Fig. 5</label><caption><p>Probability distribution of all possible excess mortalities due to O<sub>3</sub> changes under RCP4.5 and 8.5 (a) Probability distribution; (b) Cumulative distribution of the excess mortality</p></caption><graphic xlink:href="nihms643008f5"/></fig><table-wrap id="T1" position="float" orientation="portrait"><label>Table 1</label><caption><p>Ozone-related excess mortality at the national level due to future climate and emission changes (2057&#x02013;2059) compared with baseline climate (2001&#x02013;2004) under the two Representative Concentration Pathways (RCPs) (deaths per year)<xref rid="TFN1" ref-type="table-fn">a</xref></p></caption><table frame="hsides" rules="groups"><thead><tr><th align="center" valign="middle" rowspan="1" colspan="1"/><th align="left" valign="middle" rowspan="1" colspan="1">Source of CRF coefficient</th><th align="left" valign="middle" rowspan="1" colspan="1">RCP4.5<break/> Mean (95% CI)<xref rid="TFN2" ref-type="table-fn">b</xref></th><th align="left" valign="middle" rowspan="1" colspan="1">RCP8.5<break/> Mean (95% CI)</th></tr></thead><tbody><tr><td align="center" valign="middle" rowspan="3" colspan="1">Year-round</td><td align="left" valign="top" rowspan="1" colspan="1"><xref rid="R1" ref-type="bibr">Bell et al. (2004)</xref> (8hr)</td><td align="left" valign="top" rowspan="1" colspan="1">&#x02212;1,568 (&#x02212;1,804, &#x02212;1,332)</td><td align="left" valign="top" rowspan="1" colspan="1">1,930 (1,723, 2,137)</td></tr><tr><td align="left" valign="top" rowspan="1" colspan="1"><xref rid="R1" ref-type="bibr">Bell et al. (2004)</xref> (1hr)</td><td align="left" valign="top" rowspan="1" colspan="1">&#x02212;2,153 (&#x02212;2,438, &#x02212;1,868)</td><td align="left" valign="top" rowspan="1" colspan="1">900 (778, 1,025)</td></tr><tr><td align="left" valign="top" rowspan="1" colspan="1"><xref rid="R12" ref-type="bibr">Levy et al.(2005)</xref> (1hr)</td><td align="left" valign="top" rowspan="1" colspan="1">&#x02212;2,634 (&#x02212;2,977, &#x02212;2,291)</td><td align="left" valign="top" rowspan="1" colspan="1">1,104 (986, 1,222)</td></tr><tr><td align="center" valign="middle" rowspan="3" colspan="1">Warm season (May&#x02013;September)</td><td align="left" valign="top" rowspan="1" colspan="1"><xref rid="R1" ref-type="bibr">Bell et al. (2004)</xref> (8hr)</td><td align="left" valign="top" rowspan="1" colspan="1">&#x02212;2,401 (&#x02212;2,674, &#x02212;2,127)<xref rid="TFN3" ref-type="table-fn">c</xref></td><td align="left" valign="top" rowspan="1" colspan="1">&#x02212;470 (&#x02212;556, &#x02212;385)</td></tr><tr><td align="left" valign="top" rowspan="1" colspan="1"><xref rid="R1" ref-type="bibr">Bell et al. (2004)</xref> (1hr)</td><td align="left" valign="top" rowspan="1" colspan="1">&#x02212;2,326 (&#x02212;2,587, &#x02212;2,064)</td><td align="left" valign="top" rowspan="1" colspan="1">&#x02212;626 (&#x02212;720, &#x02212;533)</td></tr><tr><td align="left" valign="top" rowspan="1" colspan="1"><xref rid="R12" ref-type="bibr">Levy et al.(2005)</xref> (1hr)</td><td align="left" valign="top" rowspan="1" colspan="1">&#x02212;5,817 (&#x02212;6,469, &#x02212;5,164)</td><td align="left" valign="top" rowspan="1" colspan="1">&#x02212;1,566 (&#x02212;1,794, &#x02212;1,340)</td></tr></tbody></table><table-wrap-foot><fn id="TFN1"><label>a</label><p>Values are the averages of four population projections;</p></fn><fn id="TFN2"><label>b</label><p>95% confidence intervals based on means and standard errors of national-level EM estimates obtained from the summation of county-level EMs under four population scenarios;</p></fn><fn id="TFN3"><label>c</label><p>The O<sub>3</sub>-related EMs for warm season are greater than those for year-round, mainly because O<sub>3</sub> concentration changes for the warm season are greater than those year-round.</p></fn></table-wrap-foot></table-wrap><table-wrap id="T2" position="float" orientation="portrait"><label>Table 2</label><caption><p>ANOVA results for the percentage variance in estimated county-level excess mortality explained by various factors (%)<xref rid="TFN4" ref-type="table-fn">a</xref></p></caption><table frame="hsides" rules="groups"><thead><tr><th valign="middle" align="left" rowspan="1" colspan="1"/><th valign="middle" align="center" rowspan="1" colspan="1">Population <break/>Mean (SD)<xref rid="TFN5" ref-type="table-fn">b</xref></th><th valign="middle" align="center" rowspan="1" colspan="1">RCP<break/>Mean (SD)</th><th valign="middle" align="center" rowspan="1" colspan="1">CRF<break/>Mean (SD)</th><th valign="middle" align="center" rowspan="1" colspan="1">Residuals <break/>Mean (SD)</th></tr></thead><tbody><tr><td align="left" valign="top" rowspan="1" colspan="1">Year-round</td><td align="center" valign="top" rowspan="1" colspan="1">11.2 (13.2)</td><td align="center" valign="top" rowspan="1" colspan="1">79.5 (16.6)</td><td align="center" valign="top" rowspan="1" colspan="1">2.3 (2.9)</td><td align="center" valign="top" rowspan="1" colspan="1">6.9 (5.5)</td></tr><tr><td align="left" valign="top" rowspan="1" colspan="1">Warm season (May&#x02013;September)</td><td align="center" valign="top" rowspan="1" colspan="1">15.0 (13.7)</td><td align="center" valign="top" rowspan="1" colspan="1">35.5 (16.6)</td><td align="center" valign="top" rowspan="1" colspan="1">36.9 (14.7)</td><td align="center" valign="top" rowspan="1" colspan="1">12.6 (4.1)</td></tr></tbody></table><table-wrap-foot><fn id="TFN4"><label>a</label><p>Four population scenarios, two Representative Concentration Pathways (RCPs), and three concentration-response functions (CRFs);</p></fn><fn id="TFN5"><label>b</label><p>Standard deviation of county-level proportions (%)</p></fn></table-wrap-foot></table-wrap></floats-group></article>