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q 1 * =<br />

Excess relative risk × CA lifetime lung cancer risk.<br />

Air concentration × exposure factor × intermittency factors × duration of<br />

exposure/lifetime<br />

= 0.57 × 0.025<br />

(5 or 500 µg/m 3 ) × 10 m 3 /shift/20m 3 /d × 5d/7d × 48wk/52wk × 45 yrs/70yrs<br />

Therefore, the results of the meta-analysis bracket lung cancer risks up to approximately 1.3 × 10 -4<br />

(µg/m 3 ) -1 (assuming all the worker populations in the meta-analysis were exposed to 5 µg/m 3 ) to 1.3 ×<br />

10 -2 (µg/m 3 ) -1 (assuming all the workers populations in the meta-analysis were exposed to 500 µg/m 3 ).<br />

As these assumptions establish the extreme bounds of probable exposures, and such calculations based<br />

upon a meta-analysis are novel and subject to further possible refinements, these results are not<br />

incorporated into the range of risks. However, these results do bracket the carcinogenic potencies<br />

which would be consistent with the results of the meta-analysis and the broadest range of exposure<br />

estimates.<br />

A more plausible range can be estimated by determining the 90% confidence interval (CI) of the range<br />

of risks. For the meta-analysis the range of concentrations thought to be plausible by Hammond<br />

(personal communication) was 5 to 500 µg/m³ with a mean of about 200 µg/m³, which corresponds to a<br />

unit risk of 3.3 × 10 -4 (µg/m³) -1 . Using that concentration range as the 98% CI for a shifted lognormal<br />

distribution fixes the geometric standard deviation at 1.22 with a shift of the origin of the distribution by<br />

330 µg/m³. The 90% CI for this distribution of concentration is [52.5 to 356.5 µg/m³], corresponding<br />

to a 90% CI for the distribution of unit risk of [1.6 × 10 -4 to 1.2 × 10 -3 (µg/m³) -1 ].<br />

Railroad Worker Study-Derived Cancer Unit Risks<br />

Quantitative relationships were also developed between lung cancer risk and exposure to diesel exhaust<br />

for two nation-wide studies of lung cancer rates in U. S. railroad workers. These relationships provided<br />

additional values for the range of risk to the general California population. The first, Garshick et al.<br />

(1987a), is a case-control study. Using a logistic regression, that study determined the coefficient of the<br />

logistic relationship of the odds of lung cancer for duration of the workers’ exposure to diesel exhaust.<br />

The coefficient determined in that study was used to estimate lifetime unit risks for exposure of the<br />

general population. The second study, Garshick et al. (1988), is a cohort study. Using a proportional<br />

hazards model, that study calculated the relative hazard of lung cancer for increasing duration of worker<br />

exposure. However, those numerical results have not been supported by Garshick (1991); so instead<br />

of using them to derive lifetime unit risks for the general population, new analyses were performed with<br />

the individual data, upon which that study is based, to determine a linear relationship of lung cancer<br />

hazard for worker exposure to diesel exhaust.<br />

The term hazard was used for a prediction of incidence (cancers per year per population) resulting from<br />

a model. Relative hazard is generally called relative risk in epidemiological model work, and the term,<br />

relative risk, was used in the context of the epidemiology results. The lifetime inhalation unit risk, often<br />

simply called unit risk, is defined as the probability of contracting lung cancer from a 70-year exposure<br />

458

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