Larsen Ralph I
Exposure Modeling Research Branch, Human Exposure and Atmospheric Sciences Division, National Exposure Research Laboratory, U.S. Environmental Protection Agency, Research Triangle Park, North Carolina 27711, USA.
J Air Waste Manag Assoc. 2003 Nov;53(11):1326-39. doi: 10.1080/10473289.2003.10466308.
The Clean Air Act Amendments of 1990 (CAAA-90) list 189 hazardous air pollutants (HAPs) for which "safe" ambient concentrations are to be determined. The primary purpose of this paper is to develop two mathematical models, lognormal and logarithmic, that effectively express excess lung cancer mortality as a function of asbestos concentration for an example set of data and also to suggest using these two models for additional HAPs. The secondary purpose of this paper is to calculate a "safe" asbestos concentration by first assuming a default linear extrapolation (to one excess death per million people, as specified for carcinogenic HAPs). The resulting "safe" concentration is an impossible-to-achieve 1/1000 of present background asbestos concentrations. A letter to the editor and a response in this Journal issue use additional asbestos data that suggest that the "safe" concentration should be about 730 times higher than first calculated here and that a default nonlinear extrapolation should be used instead, with the "safe" concentration proportional to the desired mortality level raised to the 0.39 power. These results suggest that the most important problem in setting a "safe" concentration for each carcinogenic HAP is to determine the correct nonlinear extrapolation to use for each HAP.
1990年《清洁空气法修正案》(CAAA - 90)列出了189种有害空气污染物(HAPs),需要确定其“安全”环境浓度。本文的主要目的是开发两种数学模型,对数正态模型和对数模型,以一组示例数据有效地将肺癌超额死亡率表示为石棉浓度的函数,并建议将这两种模型用于其他有害空气污染物。本文的次要目的是通过首先假设默认的线性外推法(按照致癌性有害空气污染物的规定,外推至每百万人中有一例超额死亡)来计算“安全”石棉浓度。得出的“安全”浓度是目前背景石棉浓度的千分之一,这是无法实现的。本期刊登的一封读者来信及回复使用了更多的石棉数据,这些数据表明“安全”浓度应比此处首次计算的结果高出约730倍,并且应改用默认的非线性外推法,“安全”浓度与期望死亡率水平的0.39次幂成正比。这些结果表明,为每种致癌性有害空气污染物设定“安全”浓度时,最重要的问题是确定每种有害空气污染物应使用的正确非线性外推法。