{'fraction_non_alphanumeric': 0.029729603293413173, 'fraction_numerical': 0.019344124251497005, 'mean_word_length': 5.022397520777575, 'pattern_counts': {'":': 0, '<': 5, '<?xml version=': 0, '>': 2, 'https://': 0, 'lorem ipsum': 0, 'www.': 0, 'xml': 0}, 'pii_count': 0, 'substrings_counts': 0, 'word_list_counts': {'cursed_substrings.json': 0, 'profanity_word_list.json': 0, 'sexual_word_list.json': 0, 'zh_pornsignals.json': 0}}
Gaseous pollutants in particulate matter epidemiology: confounders or surrogates?

Air pollution epidemiologic studies use ambient pollutant concentrations as surrogates of personal exposure. Strong correlations among numerous ambient pollutant concentrations, however, have made it difficult to determine the relative contribution of each pollutant to a given health outcome and have led to criticism that health effect estimates for particulate matter may be biased due to confounding. In the current study we used data collected from a multipollutant exposure study conducted in Baltimore, Maryland, during both the summer and winter to address the potential for confounding further. Twenty-four-hour personal exposures and corresponding ambient concentrations to fine particulate matter (PM(2.5)), ozone, nitrogen dioxide, sulfur dioxide, and carbon monoxide were measured for 56 subjects. Results from correlation and regression analyses showed that personal PM(2.5) and gaseous air pollutant exposures were generally not correlated, as only 9 of the 178 individual-specific pairwise correlations were significant. Similarly, ambient concentrations were not associated with their corresponding personal exposures for any of the pollutants, except for PM(2.5), which had significant associations during both seasons (p < 0.0001). Ambient gaseous concentrations were, however, strongly associated with personal PM(2.5) exposures. The strongest associations were shown between ambient O(3) and personal PM(2.5) (p < 0.0001 during both seasons). These results indicate that ambient PM(2.5) concentrations are suitable surrogates for personal PM(2.5) exposures and that ambient gaseous concentrations are surrogates, as opposed to confounders, of PM(2.5). These findings suggest that the use of multiple pollutant models in epidemiologic studies of PM(2.5) may not be suitable and that health effects attributed to the ambient gases may actually be a result of exposures to PM(2.5).

Daily variations in air pollution have been associated with daily variations in deaths and hospital visits in a large number of locations around the world (1)(2)(3). Of the criteria air pollutants, the strongest and most consistent associations have been found for ambient particulate matter. Because ambient particle levels are often correlated with ambient concentrations of other gaseous pollutants, it is possible that the observed associations between particles and adverse health effects may be due to confounding by other correlated pollutants and not to the fine particles themselves (4,5).
The issue of confounding in air pollution epidemiology has been examined in several large multicity studies (6,7). These studies proceeded on the assumption that the best way to assess the independent effects of two or more pollutants is to include the pollutants in the regression model at the same time. Samet et al. (6), for example, analyzed ambient air pollution [particulate matter ≤ 10 µm (PM 10 ), ozone, nitrogen dioxide, carbon dioxide, and sulfur dioxide] and daily mortality data from 20 cities with varying pollution profiles and found PM 10 to be a significant predictor of daily mortality controlling for the gaseous copollutants. Schwartz (7) examined 10 cities separately during the summer and winter and reported identical associations between daily mortality and PM 10 . Because the relationship among ambient PM 10 and its copollutants differed substantially by season, the observed identical summer and winter associations were offered as compelling evidence that particle associations were not affected by confounding from other pollutants. Similarly, Fairley (8) examined the relationship between ambient PM 2.5 , PM 10 , PM 2.5-10 , sulfate, CO, O 3 , and NO 2 and corresponding mortality. Fairley observed significant associations for numerous pollutants when the pollutants were examined individually. When the gaseous pollutants were examined along with PM 2.5 , the significant associations for the gases disappeared, while the association for PM 2.5 became stronger; this suggests that fluctuations in ambient PM 2.5 concentrations are driving the health effect associations. All of these epidemiologic studies conducted to date, however, have investigated the potential for confounding using ambient pollutant concentrations, as none were able to include information about the personal exposures to the various air pollutants.
Information concerning personal exposures is critical to our ability to determine whether confounding is a potential problem within epidemiologic studies. The coefficient for PM 2.5 represents the independent effect of particles controlling for the other pollutant in a two-pollutant model, if each ambient pollutant measurement is a surrogate for actual exposures to that same pollutant. We began to examine the relationship between ambient pollutant concentrations and corresponding personal exposures and its copollutants in our exposure study of older adults living in Baltimore, Maryland (9). Results from this study showed that, despite significant associations among the ambient pollutant concentrations, personal exposures to PM 2.5 were not significantly correlated with personal exposures to any of its copollutants, including O 3 , NO 2 , and PM 2.5-10 . Moreover, personal PM 2.5 exposures were significantly associated with its corresponding ambient concentrations, but the personal ambient associations were not significant for O 3 , NO 2 , or PM 2.5-10 . These findings suggest that for this Baltimore cohort, true confounding of PM 2.5 by its copollutants is implausible and that ambient PM 2.5 concentrations are reasonable surrogates of their personal PM 2.5 exposures.
In this study, we further evaluated the role of ambient O 3 , NO 2 , SO 2 , and CO as confounders of ambient PM 2.5 using data from the Baltimore study of older adults and using additional data collected in Baltimore for individuals with chronic obstructive pulmonary disease (COPD) and children. Our goal, in particular, was to understand for which exposure each ambient measurement was a surrogate.

Methods
Personal multipollutant exposures and corresponding ambient concentrations were measured for 56 subjects (three cohorts: 20 older adults, 21 children, and 15 individuals with COPD) living in the metropolitan Baltimore area. All subjects included in this analysis were nonsmokers and lived in nonsmoking private residences (i.e., either single-family houses or apartments). Sampling was conducted during the summer (29 June-23 August 1998) and winter (2 February-13 March 1999). Fourteen of 56 subjects participated in both sampling seasons. During both the summer and winter sampling periods, subjects included older adults and children. Subjects from the older adult cohort consisted of retired, healthy adults with an average age (± SD) of 75 ± 6.8 years. Subjects from the children's cohort consisted of healthy schoolchildren between 9 and 13 years of age. During the winter, personal exposures for individuals with COPD were also measured along with the older adults and children. Subjects from the COPD cohort consisted of individuals with physician-diagnosed moderate-to-severe COPD with an average age of 65 ± 6.6 years. Although the subjects were from a range of socioeconomic backgrounds and geographic locations within Baltimore, subject selection was random and was not intended to be representative of sensitive populations in general. Subjects completed and returned informed consent forms before their participation in the study.
All subjects were monitored for 12 consecutive days in each of the one or two seasons, with the exception of children who, during the summer, were measured for 8 consecutive days. We measured 4-16 subjects during each 12-day monitoring period. A total of 800 person-days of exposure data were collected for some of the following pollutants: PM 2.5 , PM 10 , O 3 , NO 2 , SO 2 , elemental carbon (EC), organic carbon (OC), and volatile organic compounds (VOCs; Table 1). Because PM 10 and VOCs were only sampled for the older adult cohort and there were questions concerning the precision of the OC measurements, these exposures were not included in this analysis.
A subset of PM 2.5 filters was analyzed for SO 4 2concentration. For these filters, personal exposure to PM 2.5 of ambient origin was estimated using the expression: where personal ij represents the personal exposure to SO 4 2for subject i on day j, and ambient j represents the ambient concentration measured at the stationary site on day j. The effective penetration of ambient PM 2.5 to personal exposures for all fine particles was assumed to equal that for SO 4 2-. Since recent studies have shown that fine particle deposition rates and penetration efficiencies vary by particle size and other factors such as air exchange rates (10), SO 4 2--based estimates used in the current study provide only an indication of exposure to PM 2.5 of ambient origin rather than a definitive value. With the exception of NO 2 , the gaseous copollutants measured during the study were primarily (if not exclusively) ambient in origin. To estimate exposures to NO 2 of ambient origin, analyses involving personal NO 2 exposures were performed by controlling for the potential nonambient contributions from gas stoves, the primary nonambient source of NO 2 for these cohorts.
Personal exposure samples were collected using a specially designed multipollutant sampler that consisted of personal environmental monitors (PEMs) to collect PM 2.5 , PM 10 , EC, and OC; sorbent tubes filled with activated carbon to collect VOCs; and passive samplers to collect O 3 , NO 2 , and SO 2 . Subjects were permitted to remove the sampler during prolonged periods of inactivity (i.e., sleeping, watching television) and during activities when the sampler could be damaged (i.e., showering, intense physical activity). When the sampler was removed from the subject's body, subjects were instructed to keep the sampling inlets as close as possible to their breathing zone. The design and performance of this sampler have been described, in detail, elsewhere (9,11).
We measured 24-hr integrated ambient PM 2.5 and PM 10 concentrations using Harvard Impactors at a centrally located site. Continuous ambient PM 2.5 mass concentrations were obtained from a pair of PM 2.5 tapered element oscillating microbalances (TEOMs; model 1400A; Rupprecht & Patashnick, Co., Inc., Albany NY) operated by the Maryland Department of the Environment. Ambient O 3 , NO 2 , SO 2 , CO, and VOC data were obtained from local stationary ambient monitoring sites operated by the Maryland Department of the Environment for monitoring citywide pollutant concentrations. Additional ambient PM 2.5 concentrations were obtained from the U.S. Environmental Protection Agency that was collected as part of a personal exposure study (12). O 3 , NO 2 , SO 2 , and CO were measured using UV photometric analyzers, chemiluminiscence monitors, pulsed fluorescent monitors, and nondispersive infrared monitors, respectively. All of the participants' residences were located within an approximately 40-km radius from each of the stationary sites which were located either within the city of Baltimore or Baltimore County. PM 2.5 concentrations were obtained from the Old Town monitoring station; O 3 from the Living Classroom, and Essex monitoring stations during the summer and from the Essex monitoring stations during the winter; NO 2 from the Old Town, Living Classroom, and Essex stations during the summer and from the Old Town and Essex stations during the winter; SO 2 from the Rivera Beach monitoring station; and CO from the Old Town monitoring station. In cases where pollutant concentrations were measured at multiple sites, concentrations were averaged across the sites. Additional data collected included daily time-activity diaries and household characteristic surveys that provided supplemental information relating to pollutant exposures.
Standard quality assurance procedures were followed for this study (13). We assessed collected data for bias, precision, and completeness. Completeness for personal PM 2.5 , O 3 , NO 2 , SO 2 , SO 4 2-, and EC was 92, 83, 90, 91, 91 and 91%, respectively. Completeness for the ambient pollutant concentrations was > 98% for all of the sampled pollutants. Precision, accuracy, and limit of detection information are detailed in Chang et al. (11) and Sarnat et al. (9). All samples were field-blank corrected. Teflon PEM filters were also corrected for barometric pressure.
Sampler measurement error (sampler error) was calculated by collocating replicate, fully configured sampling packs for 24 hr (± 10%). Sampler error was estimated as the root mean squared difference of the collocated samplers, divided by the square root of two, divided by the mean concentration of the samples. Based on precision data from this study and previous studies, we assumed that precision was relative and that sampler error values for the outdoor range of concentrations applied to the entire range of personal exposure concentrations (9).
Correlation of sampler error in the dependent and independent variables was assumed to be independent of each other, a valid assumption based on previous laboratory and field characterization tests (14). In univariate regression analysis (such as the mixed-model approach used in the current analysis) sampler error in the dependent variable may lead to biased correlations between the variables but will not bias the estimates of slope or intercept (15). Sampler error in the independent variable, on the other hand, may bias estimates of the slope and intercepts as well as reduce model sensitivity. To account for the effects of this error, we corrected the slope by adjusting the variance associated with the sampler error: , [1] where β true is the slope of the regression corrected for sampler error, β obs is the slope of the observed or naïve regression results, σ 2 obs is the variance of the observed exposures or concentrations, and σ 2 true is the estimated observed variance of the exposures or concentrations minus the estimated variance attributable to sampler error. The true standard error of the mixed-model slope (i.e., the estimated standard error minus the fraction attributable to sampler error) can be estimated using the delta method, which is expressed in Equation 2 (15) where SˆE(β true ) is the estimated standard error of the true slope of the regression, Var (β true ) is the estimated variance of the true slope of the regression, and Var (β obs ) is the estimated variance of the observed slope of the regression. The true significance of the slope was subsequently determined as the (β true ) divided by SˆE(β true ).
Data analysis. Units for PM 2.5 , SO 4 2and EC concentrations and exposures are reported in micrograms per cubic meter. Units for O 3 , NO 2 , and SO 2 concentrations and exposures are reported in parts per billion. Units for CO concentrations and exposures are reported in parts per million. Negative values for the gaseous pollutants as well as values less than their respective limits of detection were included in the data analyses as measured to avoid bias in estimating relations among measurements (16). Graphical techniques and Shapiro-Wilks tests for normality indicated that most of the pollutants were normally or nearly normally distributed.
We examined four sets of associations to assess the relationship between PM 2.5 and its copollutants, including the association between a) ambient PM 2.5 concentrations and ambient copollutant concentrations; b) ambient pollutant (both PM 2.5 and copollutants) concentrations and their respective personal exposures; c) personal PM 2.5 exposures and personal copollutant exposures; and d) ambient copollutant concentrations and personal PM 2.5 exposures. In addition, models using PM 2.5 components, such as SO 4 2-, EC, and PM 2.5 of ambient origin were examined to identify factors that may affect the above associations.
Analyses of the associations between ambient PM 2.5 concentrations and ambient pollutant concentrations were conducted using univariate time-series regression analysis assuming a first-order autoregressive structure for the error. Because personal exposures were measured repeatedly for each subject, analyses of personal exposure data were conducted using mixed models and individual-specific Spearman's correlation coefficients (r s ). Pollutant exposures and concentrations were modeled as fixed-effects variables, and subjects were modeled as random variables to account for between subject variation. Models were fitted using a compound symmetry covariance matrix which yielded the lowest Akaike Information Criteria diagnostic values compared with other covariance matrices examined (e.g., autoregressive, banded toeplitz). Data from the three cohorts were analyzed in aggregate, with the exception of cases where significant differences in associations among the cohorts were found. It should be noted that, due to the intrasubject correlation, coefficients of determination (R 2 ) or other measures of scatter are not statistically valid and are, therefore, not reported. Consequently, strength of association was determined by the significance of the slope of the mixed models. Distributions of individual-specific r s values are also reported as another indicator of the strength of the observed associations. The primary objective of the analysis was to examine the predictive power of a single pollutant exposure or concentrations for other exposures or concentrations. Therefore, the models are almost exclusively univariate models with the sole exception being models that control for the impact of indoor NO 2 contributions from gas stoves, which have a cooking-fuel interaction term. All of the above analyses were computed using SAS software (SAS Institute, Cary, NC). Statistical significance is reported at the 0.05 level unless otherwise specified.
Exclusion of data points. Data points were voided due to sampling problems (e.g., pump or battery failures, tube disconnection) or laboratory analysis irregularities. Time-activity data indicated that two subjects (one older adult who participated during both sampling periods and one child who participated during the summer sampling period) were heavily exposed to environmental tobacco smoke (ETS) throughout the course of their participation in the study. Days of heavy or prolonged exposure to ETS were not included in the analyses, since collected samples did not typify exposures for a nonsmoker or someone living in a residence with nonsmokers.

Results
Summary statistics for the measured ambient concentrations and personal exposures, stratified by season and by cohort are presented in Figure 1. A summary of household characteristic and time activity data is presented in Table 2. In general, cohort-specific differences in household characteristics and time-activity patterns were not apparent, which may be due to the relatively small size of each cohort. There were, however, a number of observed differences that varied by cohort, but these were probably not specifically related to cohort affiliation. Most of the monitored children and individuals with COPD lived in single-family houses (35 of 40 subjects), whereas subjects from the older adult cohort lived equally in apartments (18 of 30 subjects) and single-family homes. Approximately one-half of the subjects (34 of 69) lived in residences with gas stoves, a potential source of NO 2 and CO, although few participants spent substantial periods of time cooking. Time-activity diary results showed that older adult subjects spent less than 2% of the day, on average, engaged in stove-related cooking activities. Only three of the subjects lived in residences with attached garages, another potential source of PM 2.5 , CO, and NO 2 . Similarly, there were approximately an equal number of subjects from each cohort living near (100 yards) busy roads. Few subjects indicated on their time-activity diaries any exposure to ETS during their respective sampling periods. Older adults and children spent similar fractions of time outdoors during the summer (4.7% and 5.7% of the day, respectively). Time spent outdoors during the winter was not examined but was assumed to be limited for all subjects.
Are ambient copollutant concentrations significantly associated with ambient PM 2 during both the summer and winter. For O 3 and CO, the strength and the direction of this association varied by season (Tables 3  and 4). During the summer, ambient PM 2.5 was significantly and positively associated with ambient O 3 and NO 2 (r s = 0.67 and 0.37, respectively). During the winter, ambient PM 2.5 was significantly and positively associated with ambient NO 2 and CO (r s = 0.75 and 0.69, respectively). A significant, negative association was found between ambient PM 2.5 and O 3 during the winter (r s = -0.72). Ambient PM 2.5 and SO 2 were not significantly associated during the winter (r s = -0.17).
Are personal exposures to copollutants significantly associated with personal exposures to PM 2.5 ? In contrast to the ambient concentrations, virtually none of the personal copollutant exposures were significantly associated with corresponding personal PM 2.5 exposures ( Table 5). The summertime association between personal PM 2.5 and NO 2 (slope = 0.18, p < 0.01) was the sole exception to this finding. There was some evidence that the strength of the personal PM 2.5 -NO 2 association was largely driven by older adult subjects (slope = 0.21, p = 0.01), as results using data only from the children were not significant (slope = 0.06, p = 0.62). Conversely, although insignificant when data from all the cohorts were analyzed together, summertime personal PM 2.5 and O 3 were significantly associated for children (slope = 0.37, p = 0.03), but not for older adults (slope = 0.07, p = 0.73). The fraction of time spent outdoors during the summer differed little by cohort, so reasons for these cohort differences are not known but may result from different activity patterns.
Similar, yet slightly stronger, associations were found when personal exposures to PM 2.5 of ambient origin, as opposed to total PM 2.5 , were regressed on personal copollutant levels ( Table 5). During both the summer and winter, the significance of the slope (as evidenced by the t-statistics for the mixed model slopes) between personal PM 2.5 of ambient origin and both personal O 3 and NO 2 increased, as compared to models using total personal PM 2.5 , but remained insignificant. Results from models that included a cooking-fuel interaction term showed that gas stoves did not significantly affect the strength of the personal PM 2.5 -NO 2 associations (summertime p = 0.61; wintertime p = 0.44). During the summer, cooking fuel was shown to interact significantly with the strength of the association between personal exposure to PM 2.5 of ambient origin and personal NO 2 (0.02), with subjects living in residences with gas stoves having stronger associations as compared to those living in residences with electric stoves. Cooking fuel was not shown to influence the wintertime association between personal exposures to PM 2.5 of ambient origin and NO 2 significantly (p = 0. 22).
An analysis of the individual-specific pairwise correlation coefficients showed similar weak associations between personal PM 2.5 and corresponding personal copollutant exposures. Only 9 of the 178 individual-specific pairwise correlations were significant (3 during the summer and 4 in the winter for PM 2.5 -NO 2 ; 1 during the summer for PM 2.5 -O 3 ; and 1 during the winter for PM 2.5 -SO 2 ; Figure 2). Of these significant correlations, three between personal PM 2.5 and personal NO 2 were negative, an inverse relationship from that observed between the ambient concentrations of these two pollutants. Similar results were found for personal PM 2.5 of ambient origin. Of 115 total correlations examined using personal PM 2.5 of ambient origin, only 5 were significant.
Are ambient pollutant concentrations associated with their respective personal exposures? The weaker associations among the personal pollutant exposures as compared to associations among the ambient pollutant    concentrations were not unexpected given that ambient concentrations for gaseous pollutants were not associated with their respective personal exposures (Table 6), as also shown in our previous paper (9) as well as in other exposure studies (17,18). Of the measured pollutants, PM 2.5 was the only pollutant for which ambient concentrations were significantly (and positively) associated with their respective personal exposures. (Although personal SO 2 was significantly associated in the winter with corresponding ambient concentrations, their association was negative: slope = -0.05, p = 0.005). The strong personal-ambient associations for PM 2.5 were found during both the summer and winter (p < 0.0001), providing further evidence of the strong longitudinal association between ambient PM 2.5 and corresponding personal exposures (9,19,20). Personal-ambient associations for personal PM 2.5 of ambient origin were similarly strong and with increased significance during the winter (the t-value rose from 3.56 to 14.11; Table 6). The presence of gas stoves did not significantly affect the personalambient NO 2 associations (summertime interaction with cooking-fuel type, p = 0.56; wintertime p = 0.57). The interpersonal variability of the personal-ambient association varied by pollutant ( Figure 2). For both seasons, the median correlation between ambient concentrations and personal exposures was highest for PM 2.5 (summer median r s = 0.65, 13 of 24 significant correlations; winter median r s = 0.22, 10 of 44 significant correlations). Even higher correlations were shown for SO 4 2-, a component of PM 2.5 that is predominantly of ambient origin (summer median r s = 0.88, 13 of 14 significant correlations; winter median r s = 0.71, 16 of 29 significant correlations). Among the gaseous copollutants, the wintertime personal-ambient association for NO 2 was the strongest with 7 of 44 subjects having significant correlations between ambient NO 2 and their personal NO 2 exposures.
Are ambient copollutants surrogates for personal exposure to PM 2.5 ? Although ambient copollutant concentrations were generally not associated with their respective personal exposures, they were associated with personal PM 2.5 during both seasons ( Table 7). The sole exception was summertime ambient CO, which was not significantly associated with personal PM 2.5 . The direction of the associations between personal PM 2.5 and the ambient copollutant concentrations mirrored those of the corresponding ambient associations between PM 2.5 and its respective copollutants. Results from cohort-specific models examining these associations were not consistently significant, which may be due to the relatively small sample size since the slope and intercepts were relatively stable. The children's summertime association between ambient O 3 and total personal PM 2.5 was the sole exception, being both insignificant (p = 0.99) and significantly different from results involving the older adults (p = 0.03).
The associations between ambient copollutant concentrations and personal PM 2.5 of ambient origin were consistently stronger than those for total personal PM 2.5 . Additionally, all of the cohort-stratified associations between ambient copollutant concentrations and personal PM 2.5 of ambient origin were significant. [The wintertime association between ambient SO 2 and personal PM 2.5 of ambient origin for the older adults was significant, but at the 0.1 level (p = 0.09).] Furthermore, when associations were examined using maximum 1-hr averages for O 3 and CO instead of the integrated 24-hr averages of these pollutants, model results were comparable (Table 8). Finally, ambient PM 2.5 was not associated with exposures to any of its gaseous copollutants during either season. 4 2-were also measured during the winter for the cohort of COPD patients, and we used data from this cohort and season to identify factors that affected the association between the ambient copollutant concentrations and personal PM 2.5 exposures from different ambient sources (Table 9). Specifically, SO 4 2-, a secondary pollutant formed from coal-fired power plants, was used as a marker of regional pollution, and EC was used as an indicator of mobile source pollution. For the COPD cohort, ambient NO 2 , SO 2 , and CO were significantly associated with personal PM 2.5 of ambient origin with t-values that were consistently higher than those observed for models using exposure to total PM 2.5 . These results suggest that personal exposures to the copollutants for this cohort were primarily surrogates for ambient particles. The associations between the ambient copollutants and the personal SO 4 2and EC varied by pollutant. Personal SO 4 2was significantly and negatively associated with ambient O 3 and SO 2 (p = 0.0009 and 0.0125, respectively), and personal EC was significantly associated with ambient O 3 , NO 2 , and CO (p < 0.0001 for all). This suggests that ambient O 3 is primarily a surrogate for secondary particle exposures, whereas ambient CO and NO 2 is primarily a surrogate for particles from traffic.

Are ambient copollutant concentrations surrogates for personal exposure to PM 2.5 from specific sources? Personal EC and SO
Estimating the effects of sampler measurement error on the results. The relative precision for a given sampler (i.e., the percentage of variability attributable to sampler and analytical error) varied by pollutant, season, and filter batch (Table 10). During the summer, relative precision for the personal exposure samplers was similar (range: 8% for PM 2.5 to 14% for NO 2 ), whereas during the winter the precision was more variable (range: 5% for PM 2.5 to 39% for NO 2 ). The relative precision of the ambient monitors (under 5% for all pollutants) was consistently lower than that observed for the personal samplers. Table 10 shows that although sampler error may have elevated the degree of overall variability in the exposures, true

Articles • Gaseous pollutants in particulate epidemiology
Environmental Health Perspectives • VOLUME 109 | NUMBER 10 | October 2001  variability in the exposures accounted for the majority of overall variability (> 66%), even for exposures whose mean concentrations were extremely low (e.g., O 3 and SO 2 ). These results suggest that true variability contributed more to the overall variability in exposures than sampler error. As a result, there was likely sufficient variability in exposures to detect significant associations when they truly existed. Because sampler error increases the likelihood of type II errors, we conducted further analyses to quantify its effect on models with insignificant results. For models examining the association between ambient copollutant concentrations and personal PM 2.5 exposures, reduced model sensitivity was not likely to affect the interpretation of the results, as the slopes were highly significant in spite of any sampler error. Furthermore, the estimates of slope for the models examining    the associations between ambient pollutant concentrations and their respective personal exposures were essentially unbiased given the relatively high precision of the ambient pollutant monitors. As shown in Table 11 for the older adult cohort, the true significance of the models did not change, with all of the models remaining insignificant. For each model, estimates of both the true slope and true standard error increased, resulting in no appreciable difference in statistical significance. It should be noted that our ability to examine statistical significance may be limited by our relatively small sample size. With a larger sample size, it is possible that the corrected parameter estimates might become more statistically significant due to correcting the attenuation bias in the uncorrected estimates.

Discussion and Conclusions
For copollutants to be confounders of the epidemiologic associations between particles and adverse health effects, two conditions must be satisfied. They must be correlated with exposure to particles, and they must be correlated with the health outcome. We have shown that personal exposures to the gaseous air pollutants are not correlated, at least in our cohorts, with personal exposures to PM 2.5 . Hence the gaseous copollutants cannot be confounders of PM 2.5 associations. Yet several studies have reported that ambient concentrations of gaseous air pollutants did confound observed associations between ambient particles and health. Why did this happen? Ambient PM 2.5 concentrations were strongly associated with corresponding ambient concentrations of several gaseous copollutants in Baltimore, although the strength and direction of these associations differed by season. These results are consistent with findings from other studies and likely reflect common sources and meteorological conditions (4,20). Based on ambient results alone, therefore, it is possible that confounding by gaseous copollutants may impact observed associations between ambient PM 2.5 and adverse health.
With the exception of PM 2.5 , however, ambient pollutant concentrations were weak indicators of their respective personal exposures. In many respects, these weak associations were not surprising given findings from earlier single-pollutant exposure studies that showed similarly strong longitudinal personal-ambient associations for particulate matter (19,21,22) and weak associations for the gases (17,18,23,24). For the gases, these weak associations can be attributed in part to low personal exposures, where personal exposures to O 3 and SO 2 , in particular, were extremely low. Additionally, weak personalambient associations for the gases may be because variations in time spent outdoors, rather than variations in ambient concentrations, are the principal factor driving fluctuations in exposures to reactive gaseous pollutants over time. For a less reactive gas, such as NO 2 , indoor sources may also weaken the association. This did not appear to affect the current results unduly, as similar results were shown for subjects living in residences with gas stoves as compared to electric stoves.
As could be expected from the previous pollutant relationships, the associations among the personal PM 2.5 and gaseous pollutant exposures were also weak and did not change in direction or significance when personal exposures to PM 2.5 of ambient origin were used in the analyses. These weak associations among personal PM 2.5 , O 3 , NO 2 and SO 2 , together with the strong personalambient associations for PM 2.5 , provide evidence that the observed PM 2.5 -associated health effects are not due to confounding by the gaseous pollutants, at least for individuals with similar exposure profiles and living in similar urban locations. Additionally, differential sampler error, while present in varying amounts, accounted for at most 39% of overall exposure variability for the samplers used. This finding suggests that the reported associations were not unduly affected by reduced statistical power due to sampler error.
While exposures to the gaseous copollutants are unlikely to be potential confounders of PM 2.5 , ambient copollutant concentrations were surrogates of personal PM 2.5 . For all of the measured copollutants during both seasons, ambient copollutant  concentrations were shown to be better predictors of personal PM 2.5 than of their respective personal exposures. Associations involving personal PM 2.5 of ambient origin were even stronger. One-hour maximum ambient concentrations of O 3 and CO, which have also been associated with adverse health in epidemiologic studies, were similarly strongly correlated with personal exposures to both total PM 2.5 and that of ambient origin, indicating that the results were insensitive to the averaging time of these gaseous pollutants. In contrast, ambient PM 2.5 was a poor predictor of personal exposures to the gaseous copollutants.
Together, these results demonstrate that the ambient concentrations of PM 2.5 , O 3 , NO 2 , CO, and SO 2 are serving as surrogates for personal exposures to PM 2.5 alone. Gaseous pollutants were stronger surrogates for PM 2.5 of ambient origin, as evidenced by the higher t-statistics for these comparisons. These stronger associations may be due to shared outdoor sources for the gaseous pollutants and PM 2.5 of ambient origin. Furthermore, some of the gaseous pollutants appear to be acting as surrogates for specific PM 2.5 components, as shown by the observed associations between ambient gaseous pollutant concentrations and personal EC and SO 4 2exposures. For subjects with COPD, ambient CO and NO 2 were not significantly associated with total personal PM 2.5 , but were associated with personal exposures to PM 2.5 of ambient origin and also to personal EC. These significant associations may be due to the fact that motor vehicles are a major source of CO, NO 2 , EC, and, to a lesser degree, to PM 2.5 of ambient origin. Conversely, ambient CO and NO 2 were not significantly associated with personal SO 4 2-, a pollutant not associated with motor vehicle emissions. O 3 , in contrast, was predominantly associated with personal SO 4 2-, an indicator of long-range transport and secondary particles.
The differences in significance among the cohorts may be attributable to differences in cohort-specific exposure patterns. For example, it is possible that although the total fraction of time spent outdoors was comparable, children spent more time outside during the peak O 3 -PM 2.5 afternoon hours than older adults. This could account for the significance of the summertime association between personal O 3 and personal PM 2.5 for children but not for older adults. Observed cohort differences may also be due to differences in statistical power for each cohort.
If ambient copollutant concentrations are surrogates, as opposed to confounders, of PM 2.5 , the results suggest that using multiple pollutant models in epidemiologic studies of PM 2.5 may not be suitable. As discussed by Breslow and Day (25), it is inappropriate to treat one variable as a confounder of another when both variables are actually surrogates of the same thing. In Baltimore, this would apply to epidemiologic models that incorporate ambient PM 2.5 as well as ambient O 3 , NO 2 , SO 2 , or CO which have been shown in our analyses to be surrogates of personal PM 2.5 . Depending on the strength of the true epidemiologic association, models that include these collinear, yet nonconfounding variables, will yield slopes for the causal pollutant factor (PM 2.5 ) that are underestimated (5). Likewise, the models will yield a misleading significant association for the collinear copollutant. Consequently, the correct modeling approach may be to exclude the gaseous pollutant concentrations for pollutants that are surrogates for particles rather than gaseous exposures and to employ single-pollutant regression models instead.
Additionally, results from this analysis clarify findings from epidemiologic studies. For example, in the recently published National Morbidity, Mortality, and Air Pollution Study (NMMAPS), data from 90 cities were compiled to assess the percentage change in mortality associated with changes in ambient air pollutant concentrations (6). The authors found that during the summer, increases of 10 ppb in ambient O 3 was associated with a 0.4% increase in mortality (95% CI; -0.20-1.01). Conversely, wintertime data indicated that the same increase in ambient O 3 led to a mean decrease of 1.86% in mortality (95% CI; -2.70-0.96), implying a protective effect from exposure to O 3 . The peculiar wintertime results were described by the authors as "puzzling and may reflect some unmeasured confounding factor" (6). The results from the current analysis suggest that these results could be due to the fact that ambient O 3 is a surrogate for personal PM 2.5 , where the observed negative wintertime associations between ambient O 3 and mortality reflect the negative association between ambient O 3 and corresponding personal PM 2.5 .
Other recent studies have reported positive associations between ambient CO and respiratory hospital visits (26). Yet CO is neither a respiratory irritant nor a moderator of immune response in the respiratory tract, making those associations biologically implausible. PM 2.5 , in contrast, has been shown to exacerbate respiratory infections (27) as well as produce an inflammatory response (28). The findings showing that ambient CO is a surrogate for personal PM 2.5 of ambient origin may, therefore, provide a biologically plausible explanation for the observed association between CO and respiratory hospital visits as well.
Our results were obtained in only one location, which is a limitation of this analysis.
However, modulators of these associations between ambient concentrations and personal exposures, such as the amount of time spent outdoors and degree of ventilation in the home, were variable. Our sample included subjects who spent more time than average outdoors as well as subjects who spent less time than average outdoors. In addition, we had a wide range of indoor ventilation conditions in the homes sampled. We therefore believe that although different associations might be found in other cities, the qualitative results we report are unlikely to change.
In summary, the above results highlight the importance of properly characterizing associations among ambient pollutant concentrations and their personal exposures to air pollution epidemiologic studies. Studies conducted in locations with strong associations among ambient pollutant concentrations should not assume that associations observed among ambient pollutant concentrations necessarily persist among personal exposures to these pollutants, nor should they assume that relationships among ambient pollutant concentrations are consistent across seasons. In particular, ambient concentrations of gaseous air pollutants cannot be considered as surrogates for their respective personal exposures without site-specific evidence to support that assumption. Future research should focus on how specific factors, such as ventilation, time spent outdoors, and household characteristics, affect the strength of these associations for certain individuals and cohorts.