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Air pollution and daily mortality in a city with low levels of pollution. (Research).


The concentration-response relationship between daily ambient inhalable particle (particulate matter particulate matter
n. Abbr. PM
Material suspended in the air in the form of minute solid particles or liquid droplets, especially when considered as an atmospheric pollutant.

Noun 1.
 [less than or equal to] 10 [micro]m; P[M.sub.10]) concentrations and daily mortality typically shows no evidence of a threshold concentration below which no relationship is observed. However, the power to assess a relationship at very low concentrations of P[M.sub.10] has been limited in studies to date. The concentrations of P[M.sub.10] and other air pollutants pollutants

see environmental pollution.
 in Vancouver, British Columbia British Columbia, province (2001 pop. 3,907,738), 366,255 sq mi (948,600 sq km), including 6,976 sq mi (18,068 sq km) of water surface, W Canada. Geography
, Canada, from January 1994 through December 1996 were very low: the 50th and 90th percentiles of daily average P[M.sub.10] concentrations were 13 and 23 [micro]g/[m.sup.3], respectively, and 27 and 39 ppb ppb
abbr.
parts per billion
, respectively, for 1-hr maximum ozone. Analyses of 3 years of daily pollution (P[M.sub.10], ozone, sulfur dioxide sulfur dioxide, chemical compound, SO2, a colorless gas with a pungent, suffocating odor. It is readily soluble in cold water, sparingly soluble in hot water, and soluble in alcohol, acetic acid, and sulfuric acid. , nitrogen dioxide nitrogen dioxide
n.
A poisonous brown gas, NO2, often found in smog and automobile exhaust fumes and synthesized for use as a nitrating agent, a catalyst, and an oxidizing agent.

Noun 1.
, and carbon monoxide carbon monoxide, chemical compound, CO, a colorless, odorless, tasteless, extremely poisonous gas that is less dense than air under ordinary conditions. It is very slightly soluble in water and burns in air with a characteristic blue flame, producing carbon dioxide; ) concentrations and mortality counts showed that the dominant associations were between ozone and total mortality and respiratory and cardiovascular mortality in the summer, and between nitrogen dioxide and total mortality in the winter, although some association with P[M.sub.10] may also have been present. We conclude that increases in low concentrations of air pollution are associated with increased daily mortality. These findings may support the notion that no threshold pollutant pol·lut·ant
n.
Something that pollutes, especially a waste material that contaminates air, soil, or water.
 concentrations are present, but they also raise concern that these effects may not be effects of the measured pollutants themselves, but rather of some other factor(s) present in the air pollution-meteorology mix. Key words: air pollution, mortality, nitrogen dioxide, ozone, particulate matter. Environ Health Perspect 111:45-51 (2003). [Online 14 November 2002] doi:10.1289/ehp.5276 available via http://dx.doi.org/

**********

An association between short-term changes in ambient pollutant concentrations, especially particle concentrations, and daily mortality has been observed in many settings (1,2). These settings have included a range of mean particle concentrations and of particle emission sources and different types and concentrations of other ambient pollutants. When concentration-response relationships between particle concentration and daily mortality have been evaluated, most studies have observed that the relationship is reasonably linear, even down to the lowest concentrations observed in any given study (3-5). One implication of such observations is that no clear threshold concentration can be identified below which no effects of particle pollution are observed.

Conclusions about the linearity of the concentration-response relationship extending down to the lowest observed concentrations should be tempered by the relative scarcity Scarcity

The basic economic problem which arises from people having unlimited wants while there are and always will be limited resources. Because of scarcity, various economic decisions must be made to allocate resources efficiently.
 of observations at the lowest, as well as the highest, particle concentrations in most studies. This is reflected in the larger confidence intervals confidence interval,
n a statistical device used to determine the range within which an acceptable datum would fall. Confidence intervals are usually expressed in percentages, typically 95% or 99%.
 around the fitted relationship typically observed at both low and high concentration extremes (6). Further, error in measuring individual particle exposures due to the use of only a few pollution monitors to reflect individual exposures would be expected to blur any threshold concentration, if one exists. This occurs because some individuals will have true exposures above their "thresholds" when measured exposures are below these thresholds, and some will have true exposures below their "thresholds" when measured exposures are above these thresholds (7). The observed linearity of the concentration-response relationships may therefore partly be a result of measurement error.

Vancouver, British Columbia, Canada, is a large urban area that has low levels of air pollution relative to other large urban areas (2,8). For example, the mean daily P[M.sub.10] (particulate matter [less than or equal to] 10 [micro]m in diameter) concentration in Vancouver during 1994-1996 was lower than that reported for any of the 90 cities studied in the National Morbidity and Mortality Morbidity and Mortality can refer to:
  • Morbidity & Mortality, a term used in medicine
  • Morbidity and Mortality Weekly Report, a medical publication
See also
  • Morbidity, a medical term
  • Mortality, a medical term
 Air Pollution Study (NMMAPS NMMAPS National Morbidity, Mortality, and Air Pollution Study ) (2). A large number of observations are therefore available at very low concentrations of ambient particles and other pollutants, which should enhance the ability to assess effects at the low end of the concentration-response relationship. The presence of an association at these low concentrations would argue in favor of the linearity of the concentration-response relationship extending down to very low concentrations. Conversely con·verse 1  
intr.v. con·versed, con·vers·ing, con·vers·es
1. To engage in a spoken exchange of thoughts, ideas, or feelings; talk. See Synonyms at speak.

2.
, the absence of an association would argue that a threshold concentration is present.

Methods

Mortality data. Vancouver is a metropolitan area with a population of approximately 1.8 million located on the southwest coast of British Columbia. Daily mortality data for the lower mainland The Lower Mainland is the name that residents of British Columbia apply to the region surrounding the City of Vancouver. According to the 2001 census, over 2.2 million people live in the region; sixteen of the province's thirty most populous municipalities are located there  of British Columbia, including Vancouver, for the 3-year period January 1994-December 1996 were obtained from the Centre for Health Services health services Managed care The benefits covered under a health contract  and Policy Research at the University of British Columbia Locations
Vancouver
The Vancouver campus is located at Point Grey, a twenty-minute drive from downtown Vancouver. It is near several beaches and has views of the North Shore mountains. The 7.
, with approval from the British Columbia Vital Statistics Agency, Ministry of Health Services, and included date of death, underlying cause of death according to according to
prep.
1. As stated or indicated by; on the authority of: according to historians.

2. In keeping with: according to instructions.

3.
 the International Classification of Diseases, Ninth Revision (ICD-9), local health area of residence and of death, and date of birth. Total deaths were defined as all deaths except those with an underlying cause of trauma or suicide (ICD-9 codes The following is a list of codes for International Statistical Classification of Diseases and Related Health Problems. These codes are in the public domain.
See also
 800-999). Respiratory deaths were defined as all deaths coded with ICD-9 codes of 460-519, and cardiovascular deaths were defined as deaths with ICD-9 codes of 390-459.

Pollution and meteorology meteorology, branch of science that deals with the atmosphere of a planet, particularly that of the earth, the most important application of which is the analysis and prediction of weather.  data. Mean hourly pollutant concentration data [inhalable particulate matter (P[M.sub.10]), ozone, nitrogen dioxide, sulfur dioxide, and carbon monoxide] were obtained from the Greater Vancouver Regional District for the same 3-year period for which mortality data were available. The pollutant monitoring network spanned the entire region extending from Vancouver proper eastward to Chilliwack, 90 km east of Vancouver. The network for continuous pollutant monitoring included 10 monitoring sites for P[M.sub.10] [using tapered ta·per  
n.
1. A small or very slender candle.

2. A long wax-coated wick used to light candles or gas lamps.

3. A source of feeble light.

4.
a.
 element oscillating os·cil·late  
intr.v. os·cil·lat·ed, os·cil·lat·ing, os·cil·lates
1. To swing back and forth with a steady, uninterrupted rhythm.

2.
 microbalance mi·cro·bal·ance  
n.
A balance designed to weigh very small loads, up to 0.1 gram.

Noun 1. microbalance - balance for weighing very small objects
balance - a scale for weighing; depends on pull of gravity
 (TEOM TEOM Tapered Element Oscillating Microbalance ) monitors], 19 [O.sub.3] monitoring sites, 12 S[O.sub.2] sites, 19 N[O.sub.2] sites, and 16 CO sites. Mean hourly meteorologic me·te·or·ol·o·gy  
n.
The science that deals with the phenomena of the atmosphere, especially weather and weather conditions.



[French météorologie, from Greek
 data on temperature (16 sites), relative humidity relative humidity
n.
The ratio of the amount of water vapor in the air at a specific temperature to the maximum amount that the air could hold at that temperature, expressed as a percentage.
 (7 sites), barometric ba·rom·e·ter  
n.
1. An instrument for measuring atmospheric pressure, used especially in weather forecasting.

2. Something that registers or responds to fluctuations; an indicator:
 pressure (7 sites), and rainfall (8 sites) were obtained from Environment Canada Environment Canada (EC), legally incorporated as the Department of the Environment under the Department of the Environment Act ( R.S., 1985, c. E-10 ), is the department of the Government of Canada with responsibility for coordinating environmental policies and  and the Greater Vancouver Regional District.

Analysis. We filled in missing hourly data values for each pollutant and each meteorologic variable (except rainfall) separately using the EM algorithm, after preprocessing A preliminary processing of data in order to prepare it for the primary processing or for further analysis. The term can be applied to any first or preparatory processing stage when there are several steps required to prepare data for the user.  to remove systematic patterns in the data. Specifically, temporal patterns were first removed from the observed data at each of the available sites using sine and cosine cosine: see trigonometry.


See sine.

COSINE - Cooperation for Open Systems Interconnection Networking in Europe. A EUREKA project.
 functions with periods of 1, 1/2, 1/3, 1/4, 1/6, 1/12 and 1/24 of a year, as well as indicators for the hour of the day as predictors. We removed any autoregressive (AR) structure in the residuals from this initial fit by fitting an AR model; the AR order was chosen to adequately minimize residual autocorrelation Autocorrelation

The correlation of a variable with itself over successive time intervals. Sometimes called serial correlation.
, with fourth-order AR models being adequate for all variables. We then applied the EM algorithm to these residuals from all sites simultaneously to take advantage of any spatial autocorrelation that might be present in the variables. This yields an imputed Attributed vicariously.

In the legal sense, the term imputed is used to describe an action, fact, or quality, the knowledge of which is charged to an individual based upon the actions of another for whom the individual is responsible rather than on the individual's
 residual for each missing hourly value, which, when added to the predictions from the temporal and AR fits, provides the filled-in value. The available rainfall data were converted to an indicator (present or absent) for each hour at each site. The estimated probability of rainfall was imputed for missing hourly values of the indicator using a logistic regression In statistics, logistic regression is a regression model for binomially distributed response/dependent variables. It is useful for modeling the probability of an event occurring as a function of other factors.  separately at each site, incorporating temporal patterns as described above for the other variables.

The estimation procedure for missing data was carried out on the log scale for the pollution variables because their distributions were skewed skewed

curve of a usually unimodal distribution with one tail drawn out more than the other and the median will lie above or below the mean.

skewed Epidemiology adjective Referring to an asymmetrical distribution of a population or of data
. To overcome the minor complication of some sites reporting zero readings for some variables, we added a small positive constant (one-half the smallest nonzero non·ze·ro  
adj.
Not equal to zero.



nonzero  

Not equal to zero.
 hourly measurement of that variable in the entire data set) to all the observations before the data were log transformed. After exponentiating to transform back to the original scale, we subtracted this same constant from each of the filled-in hourly values.

Because the mortality data were available on a daily basis, all analyses were carried out with daily data. We obtained overall daily values of the pollutants (except [O.sub.3]) and the meteorologic variables by first averaging the filled-in hourly values across the day at each site and then averaging these site-specific daily average values across the available sites. For [O.sub.3], the maximum hourly value over the day was first determined at each site, and these site-specific maxima were then averaged across the available sites. For rainfall, the overall daily value is the proportion of hours for which rain was recorded.

Because of the marked seasonality of some of the pollutants, we stratified stratified /strat·i·fied/ (strat´i-fid) formed or arranged in layers.

strat·i·fied
adj.
Arranged in the form of layers or strata.
, analyses by season. Only two "seasons" were chosen given the relatively moderate marine climate in Vancouver: summer ranging from May through September, and winter from October through April. We used both Poisson regression In statistics, the Poisson regression model attributes to a response variable Y a Poisson distribution whose expected value depends on a predictor variable x, typically in the following way:

 and generalized additive models In statistics, the generalized additive model (or GAM) is a statistical model developed by Trevor Hastie and Rob Tibshirani blending properties of multiple regression (a special case of general linear model) with additive models.  for count data (9) to estimate the effects of the air pollutants on daily mortality. A systematic battery of preliminary analyses were carried out separately on the total, respiratory, and cardiovascular mortality counts in summer and winter to identify appropriate forms to adjust for temporal trends and meteorologic effects. The primary approach taken to removing the temporal trends was to fit a loess loess (lĕs, lō`əs, Ger. lös), unstratified soil deposit of varying thickness, usually yellowish and composed of fine-grained angular mineral particles mixed with clay.  smooth. Initially, we explored a wide range of window widths using total mortality, with more detailed exploration subsequently of window widths ranging from 90 to 180 days for all mortality outcomes. Examination of the partial autocorrelation functions suggested a window width of 120 days sufficed to remove almost all of the autocorrelation in the residuals and was therefore used for all subsequent loess-based temporal adjustments. We then explored various combinations of loess smooths of the meteorologic variables as additional adjustments. The impact of these adjustments was much more modest than that for the temporal trends in the winter, but comparable in the summer. In each case, there was little to choose among many of the different possible adjustments. Results reported here are for models in which the meteorologic adjustment is a sum of separate loess smooths of temperature, relative humidity, barometric pressure, and rainfall on the same day, each based on the default window width of one-half.

To allow for easy interpretation and significance testing, we then entered linear terms for each pollutant in separate models for day lags ranging from no lag (same day) to 2 days. We examined the simultaneous effects on mortality of two pollutants by fitting models with linear terms for each of the two pollutants together.

We performed sensitivity analyses to assess the influence on the results of using a different approach to accounting for temporal trends. For these analyses, a linear trend and sine and cosine terms with periods of 1 year, and 6, 4, and 3 months were included in the models instead of a loess smooth to capture the temporal trends. Exploration of various loess smooths of the meteorologic variables indicated that the same sum of separate loess smooths of temperature, relative humidity, barometric pressure, and rainfall on the same day provided adequate adjustment for the meteorologic variables.

We used S-Plus (Insightful Corp., Seattle, WA, USA) for all analyses. Model fits using loess smooths were based on stringent convergence criteria This is an article about European politics, Convergence criteria is also a mathematical term regarding series.

Convergence criteria (also known as the Maastricht criteria) are the criteria for European Union member states to enter the third stage of European Economic and
 ([10.sup.-9] for both the local scoring and backfitting algorithms) to eliminate recently identified difficulties with the use of the default convergence criteria in the S-Plus generalized additive models (GAM) module (10). Standard errors for the pollutant effects in these model fits were determined by a Monte Carlo Monte Carlo (môNtā` kärlō`), town (1982 pop. 13,150), principality of Monaco, on the Mediterranean Sea and the French Riviera.  approach (based on 1,000 simulated Poisson data sets for each model fit) to avoid reliance on the potentially inaccurate approximation approximation /ap·prox·i·ma·tion/ (ah-prok?si-ma´shun)
1. the act or process of bringing into proximity or apposition.

2. a numerical value of limited accuracy.
 used to evaluate these standard errors in the S-Plus implementation of GAM (10,11).

Results

Mortality, pollution, and meteorology. Total daily deaths showed an annual cyclical cyclical

Of or relating to a variable, such as housing starts, car sales, or the price of a certain stock, that is subject to regular or irregular up-and-down movements.
 pattern with peaks occurring in the winter (Figure 1). Numbers of daily deaths ranged largely from 30 to 40 per day. Respiratory deaths showed an even more pronounced cyclical pattern, with peaks again occurring in the winter. Cardiovascular deaths also showed an annual cyclical pattern, but this was much less pronounced than for respiratory deaths. After removal of long-term temporal trends using a loess smooth (with a window width of 120 days) separately for summer and winter, residual plots showed that the annual patterns seemed to be adequately removed (Figure 1).

[FIGURE 1 OMITTED]

Each of the monitored pollutants and meteorologic variables had some data missing. For P[M.sub.10], 8.9% of the monitor-hours had missing concentration data. For [O.sub.3], S[O.sub.2], N[O.sub.2], and CO, 4.7%, 6.4%, 6.5%, and 5.0% of the monitor-hours, respectively, were missing. For temperature, humidity, barometric pressure, and rainfall, 5.3%, 12.9%, 14.7%, and 2.7% of the hourly measurements, respectively, were missing. We estimated the missing hourly data using an EM algorithm as detailed in "Methods," with the overall daily values based on the complete set of pollution and meteorologic data, both measured and estimated, used in the analyses.

The overall daily air pollution concentrations and the meteorologic measures exhibited various temporal patterns (Figure 2). Of the pollutants, [O.sub.3], with higher concentrations in summer, and CO, with higher concentrations in winter, exhibited the most seasonal variability. Air pollution concentrations were uniformly low (Table 1). The pollution variables, apart from [O.sub.3], were highly correlated (Table 2). Correlations between pollutants were generally similar for the summer and winter seasons, with the exception of [O.sub.3], for which correlations with other pollutants were negative in winter but positive in summer.

[FIGURE 2 OMITTED]

Single-pollutant models. Linear terms for the pollution variables were added singly to the regression models in which separate loess smooths were used to remove the long-term temporal patterns and adjust for the same day temperature, relative humidity, barometric pressure, and rainfall. Estimated effects for total, respiratory, and cardiovascular deaths by season for a standard deviation In statistics, the average amount a number varies from the average number in a series of numbers.

(statistics) standard deviation - (SD) A measure of the range of values in a set of numbers.
 change in concentration for each pollutant at lags of 0, 1, and 2 days are presented in Figure 3. In the summer, we observed a statistically significant effect on total deaths only for [O.sub.3] at lag 0, and a nearly significant effect (p < 0.10) for S[O.sub.2] at lag 0. Statistically significant effects on respiratory deaths in the summer were observed for P[M.sub.10], [O.sub.3], and S[O.sub.2], but effects of N[O.sub.2] and CO were also nearly significant. Effects on cardiovascular deaths were seen only for [O.sub.3], and then only for lag 0 (p < 0.10). In the winter, we observed significant effects on total deaths for P[M.sub.10] (lag 2), N[O.sub.2] (lag 2), and S[O.sub.2] (lag 1). No significant deleterious deleterious adj. harmful.  effects on respiratory deaths were observed. Effects on cardiovascular deaths were observed for N[O.sub.2] (lags 1 and 2) and S[O.sub.2] (lag 1).

[FIGURE 3 OMITTED]

Two-pollutant models. Because pollutant concentrations are often highly correlated, findings from single-pollutant models may be difficult to interpret. We fit models including linear terms for all pollutant lag pairs (lags 0, 1, 2) to attempt to identify independent pollutant effects. We focused attention on those models in which both pollutant effects were observed in the single-pollutant models. In the summer, of the significant effects detected in the single-pollutant models, only the effects of [O.sub.3] on total mortality at lag 0 and on respiratory mortality at lag 2 remained statistically significant in all two-pollutant models (Figure 4 shows the estimates of effect from the most relevant two-pollutant models). In the winter, only the effect for N[O.sub.2] on total mortality at lag 2 was largely unchanged after the addition of other pollutants (Figure 4). Other effects that were significant in the single-pollutant models were substantially diminished after addition of some of the other pollutants in the two-pollutant models: for example, the greatly diminished effect of P[M.sub.10] at lag 1 on respiratory mortality in the summer after the addition of [O.sub.3], and the greatly diminished effect of S[O.sub.2] at lag 1 on total mortality in the winter after the addition of N[O.sub.2] (Figure 4).

[FIGURE 4 OMITTED]

Sensitivity analyses. As detailed in the "Methods," another approach taken to removing the long-term temporal trends was to fit a linear trend and sine and cosine functions with frequencies ranging from 1 year to 3 months to the mortality series. Residuals from these fits showed that the annual pattern for total, respiratory, and cardiovascular deaths was removed (data not shown). Although, in general, there was little difference in estimates of pollution effect between the two approaches to removing the long-term temporal trends, there were exceptions. For example, Figure 5 illustrates the smaller effect estimates obtained for total mortality in the summer with the sine-cosine function approach. If differences were observed, loess smooth models almost always resulted in larger estimates of pollution effect. However, no qualitative differences in the study findings resulted from the use of the trigonometric function trigonometric function

In mathematics, one of six functions (sine, cosine, tangent, cotangent, secant, and cosecant) that represent ratios of sides of right triangles.
 approach rather than loess smoothing for the removal of long-term temporal trends.

[FIGURE 5 OMITTED]

Discussion

In Vancouver, where ambient concentrations of all major air pollutants are low relative to other large urban areas (2,8), the principal finding of this 3-year study was that increases in the concentrations of some of the gaseous gas·e·ous
adj.
1. Of, relating to, or existing as a gas.

2. Full of or containing gas; gassy.
 air pollutants, particularly [O.sub.3] in the summer, were associated with increases in daily mortality. For P[M.sub.10], the only relatively robust effect was for increased respiratory mortality in the summer at lag 1, but even that was sensitive to inclusion of [O.sub.3] (at lag 2) in the two-pollutant model.

Estimated effects of ambient particulate matter have been less consistently observed in some more recently reported time-series studies, whereas gaseous pollutant effects have been observed more consistently (12-16). It is not known whether these effects reflect those of the gaseous pollutants themselves, or whether the gaseous pollutants are acting as surrogate markers A surrogate marker (or surrogate end point) is term used in medical research for a change to the human body that is believe to be necessary to an eventual outcome or end point.  of pollutant sources that contain more toxic compounds. In Vancouver, given the low concentrations of these pollutants, it seems unlikely that the observed effects are due to the measured pollutants themselves. The mean concentrations of both P[M.sub.10] and [O.sub.3] (mean 24-hr average was 13.7 ppb) during the 3-year period of the study (1994-1996) were lower than those in any of the 90 cities studied in NMMAPS (2). Further, only one of the cities in NMMAPS in which data on carbon monoxide were available had a lower mean concentration of carbon monoxide than Vancouver. Mean concentrations of N[O.sub.2] and S[O.sub.2] in Vancouver were lower than 72% and 76% of the cities in NMMAPS, respectively. Because the mean concentrations reported in NMMAPS were trimmed means in which the upper and lower 10th percentiles were excluded, and because the distribution of concentration data is typically skewed to the right, it would be expected that the trimmed means would be lower than those calculated from the complete set of data. If trimmed values had been calculated for Vancouver, mean concentrations relative to the cities included in NMMAPS would have been even lower.

In Vancouver, the most notable effects on mortality were those associated with increases in [O.sub.3] concentrations. It is noteworthy that, of the pollutants, [O.sub.3] was least strongly correlated with the other pollutants. Two-pollutant models with [O.sub.3] also typically had the lowest correlations between pollutant effect estimates; effect estimate correlations may be more relevant because they reflect pollutant correlations after long-term temporal trends and effects of meteorology have been removed. The weaker correlations associated with [O.sub.3] may have contributed to the ability to detect effects of [O.sub.3] that were relatively insensitive in·sen·si·tive  
adj.
1. Not physically sensitive; numb.

2.
a. Lacking in sensitivity to the feelings or circumstances of others; unfeeling.

b.
 to effects of other pollutants. The difficulty of disentangling the effects of the other pollutants is not surprising in view of the high correlations among them. Because of concerns regarding the interpretability of estimated effects in models containing several strongly correlated variables, we did not attempt to estimate effects from models that included any more than two pollutant terms.

Findings from a study of the acute mortality effect of short-term increases in P[M.sub.10] concentrations in the 88 largest cities in the United States United States, officially United States of America, republic (2005 est. pop. 295,734,000), 3,539,227 sq mi (9,166,598 sq km), North America. The United States is the world's third largest country in population and the fourth largest country in area.  have recently been reported (2,10) (in only 88 of the 90 cities was an effect for P[M.sub.10] estimated). Because these cities were selected only on the basis of population size and availability of pollution concentration data, and a standardized approach According to International Convergence of Capital Measurement and Capital Standards, known as Basel II, the standardized approach is a set of risk measurement techniques for banking institutions. The term may be used in the context of credit risk or operational risk.  was taken to the analysis, these data provide the most comprehensive picture to date of the consistency of acute P[M.sub.10] effects on mortality. An overall effect of a 0.21% increase in total mortality (at a lag of 1 day) for each 10 [micro]g/[m.sup.3] increase in P[M.sub.10] concentration was estimated. However, a substantial degree of heterogeneity het·er·o·ge·ne·i·ty
n.
The quality or state of being heterogeneous.



heterogeneity

the state of being heterogeneous.
 of effect across cities was observed, with the estimated effect being zero or negative (that is, a decrease in mortality effect associated with an increase in P[M.sub.10] concentration) in 32 of the 88 cities (36%) in the single-pollutant models. The presence of a positive effect in any given city was not clearly related to the average P[M.sub.10] concentration in that city, although there was a trend for stronger effects to be present in cities with lower P[M.sub.10] concentrations, suggesting that the inability to observe a P[M.sub.10] effect in the 33% of cities was not due to the P[M.sub.10] concentrations being below a certain threshold concentration below which effects were not present.

Based on our single-pollutant models, an effect of P[M.sub.10] was present for respiratory mortality in the summer and for total mortality in the winter. However, these effects were sensitive to the addition of other pollutants in the two-pollutant models. The effects of P[M.sub.10] were present even though the, average daily P[M.sub.10] concentration in Vancouver from 1994 to 1996 (14.4 [micro]g/[m.sup.3]) was lower than that of any of the 88 American cities during 1987-1994, where average daily P[M.sub.10] concentrations ranged from a low of 15.3 [micro]g/[m.sup.3] to a high of 53.2 [micro]g/[m.sup.3] (2). In a recent analysis of the concentration-response relationship in the 20 largest of these U.S. cities (4), the investigators argued that no evidence for a threshold for P[M.sub.10] could be found, at least above a concentration of 15 [micro]g/[m.sup.3]. Similar findings were reported for an analysis of all 88 cities (5). The effects of P[M.sub.10] in this study are consistent with the contention that there is no threshold concentration for P[M.sub.10], nor for some of the other pollutants.

Because the absence of a concentration-response threshold for most air pollutants seems biologically implausible im·plau·si·ble  
adj.
Difficult to believe; not plausible.



im·plausi·bil
, consideration should be given to possible reasons that time-series studies seem to be unable to detect such thresholds. First, a "blurring" of a threshold might be expected if the use of ambient pollutant concentrations measured with a few pollution monitors results in error in the measurement of exposure. Such measurement error must be present to some extent. Recent findings of a simulation study based on actual ambient and personal monitoring data suggest that measurement error can have a substantial effect on the ability to detect a threshold (7). Others have not found that measurement error causes any difficulty in identifying a threshold within a meta-analysis context using a collection of cities (3). The detection of effects in Vancouver, where concentrations of all of these pollutants are low, suggests that measurement error may not be solely responsible for the inability to detect threshold concentrations in settings with higher pollutant concentrations.

Second, ambient concentrations of air pollutants may be acting as surrogate surrogate n. 1) a person acting on behalf of another or a substitute, including a woman who gives birth to a baby of a mother who is unable to carry the child. 2) a judge in some states (notably New York) responsible only for probates, estates, and adoptions.  measures of exposure to other agents or to specific pollution sources that are in fact responsible for the observed effects. For example, there is no known mechanism whereby exposure to ambient [O.sub.3] might produce adverse cardiac effects, although some have been suggested (17), yet [O.sub.3] was associated with cardiac mortality in Vancouver. One could postulate postulate: see axiom.  that ambient [O.sub.3] concentrations in this setting may be reflecting other pollutants in the photochemical smog photochemical smog
n.
Air pollution produced by the action of sunlight on hydrocarbons, nitrogen oxides, and other pollutants.
 mix that might potentially have adverse cardiac effects, although the identity of these agents is not known. No apparent threshold [O.sub.3] concentration might therefore be observed if [O.sub.3] were acting as such a surrogate measure. Similarly, if P[M.sub.10] concentrations or concentrations of other pollutants are acting as surrogate measures of another unmeasured toxic pollutant or pollutants, or of specific sources, absence of an apparent threshold for these pollutants could also be observed. It has recently been suggested (18) that in some settings concentrations of gaseous pollutants may be better measures of exposure to particle pollution than the particle mass concentrations, in which case the apparent gaseous effects merely reflect unmeasured effects of particles. For example, others have also reported an inverse (mathematics) inverse - Given a function, f : D -> C, a function g : C -> D is called a left inverse for f if for all d in D, g (f d) = d and a right inverse if, for all c in C, f (g c) = c and an inverse if both conditions hold.  association between [O.sub.3] concentrations and mortality in the winter (19) (see Figure 3). It has been proposed that this effect is an example of negative confounding confounding

when the effects of two, or more, processes on results cannot be separated, the results are said to be confounded, a cause of bias in disease studies.


confounding factor
 due to the negative correlation Noun 1. negative correlation - a correlation in which large values of one variable are associated with small values of the other; the correlation coefficient is between 0 and -1
indirect correlation
 between wintertime [O.sub.3] and fine PM (20). This seems unlikely in our data given the winter correlation between [O.sub.3] and P[M.sub.10] of -0.32 (Table 2), although the negative correlation with P[M.sub.2.5] could have been stronger. There was little change in the estimate of effect of [O.sub.3] on respiratory mortality in the winter in the two-pollutant models (data not shown). We had no data on P[M.sub.2.5] during the 3 years of the study to allow us to specifically address this hypothesis. Additional monitoring in multiple settings is needed to determine whether this is likely.

Third, because meteorology is a strong determinant determinant, a polynomial expression that is inherent in the entries of a square matrix. The size n of the square matrix, as determined from the number of entries in any row or column, is called the order of the determinant.  of air pollutant concentrations in an urban setting, with variation in pollutant emissions being relatively minor, ambient pollutant concentrations might conceivably also be acting as surrogate measures of meteorologic factors. If some of the observed effects of the pollutants are due to meteorology rather than to the pollutants themselves, again, a threshold for the pollutants might not be observable ob·serv·a·ble  
adj.
1. Possible to observe: observable phenomena; an observable change in demeanor. See Synonyms at noticeable.

2.
. The addition of daily meteorologic variables to the regression models in this study was aimed at controlling for effects of meteorology in the estimation of air pollutant effects. Alternative approaches to controlling for the effects of meteorology have not significantly affected estimates of pollution effects in other studies (21), suggesting that significant, uncontrolled confounding by meteorology is unlikely. However, when effects of pollutants are detected at low concentrations at which no adverse effects would be expected (that is, no threshold concentrations are detected), and the primary determinant of pollutant concentrations is meteorology, then a case can be made that the pollutant concentrations are serving as better measures of the meteorologic factors influencing mortality than the meteorologic measures themselves (in this case daily temperature, humidity, barometric pressure, and rainfall). Exposure measurement error of the relevant meteorologic factors as measured by pollutant concentrations would also presumably pre·sum·a·ble  
adj.
That can be presumed or taken for granted; reasonable as a supposition: presumable causes of the disaster.
 be less than that of the ambient pollutants. Given the multitude of adverse health effects attributed to changes in meteorology (22,23), confounding by meteorology still seems plausible.

Confidence in the study findings can be enhanced by demonstrating that the method of data analysis did not substantially influence the findings. The findings did not exhibit much sensitivity to the approach taken to removing the long-term temporal trends from the data. Findings may have been influenced, however, by the decision to use a seasonally stratified analysis. The decision to stratify strat·i·fy  
v. strat·i·fied, strat·i·fy·ing, strat·i·fies

v.tr.
1. To form, arrange, or deposit in layers.

2.
 the analysis by season was prompted by the obvious annual cycles in much of the time series data (Figures 1 and 2). Rather than attempting to incorporate this seasonal complexity in a single model, an approach that may not succeed in adequately removing all of the seasonal correlations between the time-varying measures (24), it seems justified to stratify by season. A potential disadvantage of stratification stratification (Lat.,=made in layers), layered structure formed by the deposition of sedimentary rocks. Changes between strata are interpreted as the result of fluctuations in the intensity and persistence of the depositional agent, e.g.  is the loss of statistical power and the associated instability of the estimates of effect, but this concern seems relatively unimportant un·im·por·tant  
adj.
Not important; petty.



unim·portance n.
 in the current study.

For loess smoothing of the long-term temporal trend, our Monte Carlo estimates of the standard errors of the pollutant effects were typically about 10% larger than those reported by the S-Plus GAM module, though for a few models they were as much as 30% larger. A number of additional pollutant effects would have been judged to be statistically significant based on the smaller standard errors reported by the S-Plus GAM module. The latter should not be used for model fits involving loess smoothing (10,11). For the present context of overdispersed Poisson regression models, the only currently available alternative for evaluating accurate standard errors is a Monte Carlo approach. This is computationally intensive and time-consuming. This fundamental limitation of the S-Plus GAM module may encourage the use of parametric approaches to smoothing (e.g., natural splines) for which explicit evaluation of exact standard errors of pollutant effects is straightforward even for this context.

In conclusion, assuming that the findings from Vancouver are generalizable gen·er·al·ize  
v. gen·er·al·ized, gen·er·al·iz·ing, gen·er·al·iz·es

v.tr.
1.
a. To reduce to a general form, class, or law.

b. To render indefinite or unspecific.

2.
 to other cities with low pollutant concentrations, increases in air pollutant concentrations, even when concentrations are low, are associated with adverse effects on daily mortality. Although this observation may support the argument that there are no threshold concentrations of air pollution below which adverse effects cannot be detected, it also raises concern that the associations are not reflecting the effects of the measured pollutants, but rather some factor or combination of factors, such as, for example, unmeasured air pollutants or uncontrolled features of meteorology that are correlated with the measured pollutants.
Table 1. Distribution of daily mortality counts and overall daily
pollutant and meteorologic measures.

                                   Min     10%     50%     90%

Total mortality                      16      27      35      43
Respiratory mortality                 0       1       4       7
Cardiovascular mortality              4       9      14      19
P[M.sub.10] ([micro]g/[m.sup.3])    4.1     7.8    13.1    22.8
[O.sub.3] [ppb (1-hr max)]          3.1    14.6    27.3    39.4
N[O.sub.2] (ppb)                    4.3    11.8    16.1    22.9
S[O.sub.2] (ppb)                    0.3     1.2     2.4     4.9
CO (ppm)                            0.3     0.4     0.5     0.9
Temperature ([degrees]C)           -8.8     2.7    10.1    17.8
Relative humidity (%)              24.2    65.4    79.9    91.3
Barometric pressure (kPas)         97.4   100.7   101.7   102.4
Rainfall (% hours/day)                0       0      26    48.1

                                    Max     Mean (SD)

Total mortality                       60    35.0 (6.6)
Respiratory mortality                 13      38 (2.2)
Cardiovascular mortality              28    14.0 (4.0)
P[M.sub.10] ([micro]g/[m.sup.3])    37.2    14.4 (5.9)
[O.sub.3] [ppb (1-hr max)]          75.1    27.4 (10.2)
N[O.sub.2] (ppb)                    33.9    16.9 (4.5)
S[O.sub.2] (ppb)                    15.4     2.8 (1.7)
CO (ppm)                             1.9     0.6 (0.2)
Temperature ([degrees]C)            24.2    10.2 (6.0)
Relative humidity (%)               97.3    78.6 (11.1)
Barometric pressure (kPas)         103.9   101.6 (0.7)
Rainfall (% hours/day)              97.9    14.7 (20.9)

Abbreviations: Max, maximum; Min, minimum; kPas, kiloPascals.

Table 2. Pearson correlations among the overall daily pollutant
and meteorologic measures by season. (a)

              P[M.sub.10]   [O.sub.3]   S[O.sub.2]   N[O.sub.2]

P[M.sub.10]                    0.48        0.76         0.84
[O.sub.3]       -0.32                      0.44         0.45
S[O.sub.2]       0.78         -0.41                     0.80
N[O.sub.2]       0.73         -0.38        0.68
CO               0.76         -0.65        0.83         0.78
Temperature     -0.11          0.28       -0.13        -0.34
Humidity        -0.38         -0.38       -0.21        -0.21
Pressure         0.40         -0.25        0.35         0.24
Rainfall        -0.55         -0.02       -0.40        -0.31

               CO     Temperature   Humidity   Pressure   Rainfall

P[M.sub.10]    0.71       0.61       -0.35       0.01      -0.47
[O.sub.3]      0.12       0.41       -0.59      -0.02      -0.33
S[O.sub.2]     0.67       0.59       -0.36       0.13      -0.47
N[O.sub.2]     0.81       0.45       -0.24      -0.01      -0.31
CO                        0.28        0.12      -0.01      -0.19
Temperature   -0.29                  -0.42       0.00      -0.41
Humidity      -0.05       0.21                  -0.20       0.55
Pressure       0.28      -0.04       -0.21                 -0.40
Rainfall      -0.31       0.13        0.56      -0.40

(a) Summer (May-September) above diagonal; winter (October-April)
below diagonal.


REFERENCES AND NOTES

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(2.) Samet JM, Zeger SL, Dominici F, Curriero F, Coursac I, Dockery DW, Schwartz J, Zanobetti A. Morbidity and mortality from air pollution in the United States. The National Morbidity, Mortality and Air Pollution Study (NMMAPS). Health Effects Institute The Health Effects Institute (HEI) is a non-partisan, non-profit corporation specializing in research on the health effects of air pollution. It is headquartered in Charlestown, Massachusetts, USA.  Research Report No. 94, part II. Cambridge, MA:Health Effects Institute, 2000.

(3.) Schwartz J, Zanobetti A. Using meta-smoothing to estimate dose-response trends across multiple studies, with application to air pollution and daily death. Epidemiology 11:666-672 (2000).

(4.) Daniels MJ, Dominici F, Samet JM, Zeger SL. Estimating particulate par·tic·u·late
adj.
Of or occurring in the form of fine particles.

n.
A particulate substance.



particulate

composed of separate particles.
 matter-mortality dose-response curves dose-response curve A graphic representation of the effects that varous doses of an agent–eg, ionizing radiation or a chemotherapeutic agent, have on a given parameter–eg, cell viability, mutation frequency, DNA damage, tumor growth or metastasis or  and threshold levels Noun 1. threshold level - the intensity level that is just barely perceptible
intensity, intensity level, strength - the amount of energy transmitted (as by acoustic or electromagnetic radiation); "he adjusted the intensity of the sound"; "they measured the
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(8.) Brook J, Dann T, Burnatt R. The relationship among TSP TSP - travelling salesman problem , P[M.sub.10], P[M.sub.2.5], and inorganic inorganic /in·or·gan·ic/ (in?or-gan´ik)
1. having no organs.

2. not of organic origin.


in·or·gan·ic
n.
1.
 constituents of atmospheric particulate matter at multiple Canadian locations. J Air Waste Manage Assoc 47:2-19 (1997).

(9.) Hastie TJ, Tibshirani RJ. Generalized Additive Models. London:Chapman and Hall Chapman and Hall was a British publishing house, founded in the first half of the 19th century by Edward Chapman and William Hall. Upon Hall's death in 1847, Chapman's cousin Frederic Chapman became partner in the company, of which he became sole manager upon the retirement of , 1990.

(10.) Dominici F, McDermott A, Zeger SL, Samet JM. On the use of generalized additive models in time-series studies of air pollution and health. Am J Epidemiol 156:193-203 (2002).

(11.) Ramsay T, Burnett R, Krewski D. The effect of concurvity in generalized additive models linking mortality and ambient air pollution. Epidemiology (in press).

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(14.) Burnett RT, Cakmak S, Brook JR. The effect of the urban ambient air pollution mix on daily mortality rates in 11 Canadian cities. Can J Public Health 89:152-156 (1998).

(15.) Moolgavkaar SH. Air pollution and mortality in three U.S. counties. Environ Health Perspect 108:777-784 (2000).

(16.) Touloumi G, Katsouyanni K, Zmirou D, Schwartz J, Spix C, Ponce deLeon A, Tobias A, Quennel P, Rabczenko D, Bacharova L, et al. Short-term effects of ambient oxidant oxidant /ox·i·dant/ (ok´si-dant) the electron acceptor in an oxidation-reduction (redox) reaction.

ox·i·dant
n.
See oxidizer.
 exposure on mortality: combined analysis within the APHEA APHEA Australasian and Pacific Hansard Editors Association  project. Am J Epidemiol 146:177-185 (1997).

(17.) Gong H, Wong R, Sarma RJ, Linn linn  
n. Scots
1. A waterfall.

2. A steep ravine.



[Scottish Gaelic linne, pool, waterfall.]
 WS, Sullivan ED, Shamoo DA, Anderson KR, Prasad Prasāda (Sanskrit: प्रसाद), prasād/prashad (Hindi), Prasāda in (Kannada), prasādam (Tamil), or prasadam  SB. Cardiovascular effects of ozone exposure in human volunteers. Am J Respir Crit Care Mad 158:538-546 (1998).

(18.) Sarnat JA, Koutrakis P, Suh H. Assessing the relationship between personal particulate and gaseous exposures of senior citizens living in Baltimore, MD. J Air Waste Manage Assoc 50:1184-1198 (2000).

(19.) Samet JM, Dominici F, Curriero FC, Coursac I, Zeger SL. Fine particulate air pollution and mortality in 20 U.S. cities. N Engl J Mad 343:1742-1749 (2000).

(20.) Sarnat JA, Schwartz J, Suh HH. Fine particulate air pollution and mortality in 20 U.S. cities [Letter]. N Engl J Mad 344:1253-1254 (2000).

(21.) Pope CA, Kalkstein LS. Synoptic syn·op·tic   also syn·op·ti·cal
adj.
1. Of or constituting a synopsis; presenting a summary of the principal parts or a general view of the whole.

2.
a. Taking the same point of view.

b.
 weather modeling and estimates of the exposure-response relationship between daily mortality and particulate air pollution. Environ Health Perspect 104:414-420 (1996).

(22.) Rogot E, Padgett SJ. Associations of coronary and stroke mortality with temperature and snowfall in selected areas of the United States, 1962-1966. Am J Epidemiol 103:565-575 (1976).

(23.) Kunst AE, Looman CWN CWN Catholic World News
CWN Clean Water Network
CWN Commonwealth Women’s Network (UK)
CWN Children's Workforce Network
CWN Call When Needed (helicopter services) 
, Mackenbach JP. Outdoor air temperature and mortality in the Netherlands: a time-series analysis Time-series analysis

Assessment of relationships between two or among more variables over periods of time.
. Am J Epidemiol 137:331-341 (1993).

(24.) Chock DP, Winkler Winkler may refer to:
  • Winkler, Manitoba, a Canadian city
  • Winkler (novel), by Giles Coren
  • Winkler (crater), a crater on the Moon
  • Winkler (surname), people with the surname Winkler or Winckler
See also
 SL, Chen C. A study of the association between daily mortality and ambient air pollutant concentrations in Pittsburgh, Pennsylvania “Pittsburgh” redirects here. For the region, see Pittsburgh Metropolitan Area.

Pittsburgh (pronounced IPA: /ˈpɪtsbɚg/) is the second largest city in the Commonwealth of Pennsylvania.
. J Air Waste Manage Assoc 50:1481-1500 (2000).

Sverre Vedal, (1) Michael Brauer Michael Brauer is a New York-based mixer whose credits encompass a wide range of genres, and include The Rolling Stones, Bob Dylan, Paul McCartney, Coldplay, John Mayer, Ash, My Morning Jacket, Ben Folds, Dream Theater, The New Radicals, Fountains of Wayne, David Poe, Wilco and Ron , (2,3) Richard White Richard White is the name of:
  • Richard White (c.1537–1584), Welsh Roman Catholic martyr, poet and saint better known as Saint Richard Gwyn
  • Richard Grant White (1822–1885), American Shakespearean scholar
  • Richard Crawford White (1923–1998), U.S.
, (4) and John Petkau (4)

(1) Department of Medicine, National Jewish Medical and Research Center National Jewish Medical and Research Center is a research institute located in Denver, Colorado specializing in respiratory, immune and allergic research and treatment. It was founded in 1899 to treat tuberculosis, and is today considered one of the world's best medical research , Denver, Colorado, USA; (2) Department of Medicine, (3) School of Occupational and Environmental Hygiene, and (4) Department of Statistics, University of British Columbia, Vancouver, British Columbia, Canada

Address correspondence to S. Vedal, Division of Environmental and Occupational Health Sciences, National Jewish Medical and Research Center, 1400 Jackson Street, Denver, CO 80206 USA. Telephone: (303) 398-1520. Fax: (303) 398-1452. E-mail: vedals@njc.org

We thank the British Columbia Vital Statistics Agency, Ministry of Health Services, for providing the vital statistics data for Vancouver.

This work was supported by a grant from the British Columbia Lung Association.

Received 5 October 2001; accepted 7 October 2002.
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