Combining Uncertainty Factors in Deriving Human Exposure Levels of Noncarcinogenic Toxicants

Abstract: Acceptable levels of human exposure to noncarcinogenic toxicants in environmental and occupational settings generally are derived by reducing experimental no‐observed‐adverse‐effect levels (NOAELs) or benchmark doses (BDs) by a product of uncertainty factors (Barnes and Dourson, Ref. 1 ). These factors are presumed to ensure safety by accounting for uncertainty in dose extrapolation, uncertainty in duration extrapolation, differential sensitivity between humans and animals, and differential sensitivity among humans. The common default value for each uncertainty factor is 10. This paper shows how estimates of means and standard deviations of the approximately log‐normal distributions of individual uncertainty factors can be used to estimate percentiles of the distribution of the product of uncertainty factors. An appropriately selected upper percentile, for example, 95th or 99th, of the distribution of the product can be used as a combined uncertainty factor to replace the conventional product of default factors.

[1]  D. Barnes,et al.  Reference dose (RfD): description and use in health risk assessments. , 1988, Regulatory toxicology and pharmacology : RTP.

[2]  J C Swartout,et al.  Response to Comments on “An Approach for Modeling Noncancer Dose Responses with an Emphasis on Uncertainty” and “A Probabilistic Framework for the Reference Dose (Probabilistic RfD)” , 1999, Risk analysis : an official publication of the Society for Risk Analysis.

[3]  David W. Gaylor,et al.  Uncertainty of Estimates of Cancer Risks Derived by Extrapolation from High to Low Doses and from Animals to Humans , 1997 .

[4]  William H. Beyer,et al.  Handbook of Tables for Probability and Statistics , 1967 .

[5]  Wout Slob,et al.  Uncertainty Analysis in Multiplicative Models , 1994 .

[6]  Sandra J. S. Baird,et al.  Noncancer Risk Assessment: A Probabilistic Alternative to Current Practice , 1996 .

[7]  C J Portier,et al.  Characterizing Dose‐Response I: Critical Assessment of the Benchmark Dose Concept , 1998, Risk analysis : an official publication of the Society for Risk Analysis.

[8]  C. Kimmel,et al.  Dose-response assessment for developmental toxicity. II. Comparison of generic benchmark dose estimates with no observed adverse effect levels. , 1994, Fundamental and applied toxicology : official journal of the Society of Toxicology.

[9]  K. Bogen A note on compounded conservatism , 1994 .

[10]  R. Hertzberg,et al.  A new method for determining allowable daily intakes. , 1986, Fundamental and applied toxicology : official journal of the Society of Toxicology.

[11]  S N Rai,et al.  Uncertainty and variability analysis in multiplicative risk models. , 1998, Risk analysis : an official publication of the Society for Risk Analysis.

[12]  D. Gaylor,et al.  A simple upper limit for the sum of the risks of the components in a mixture. , 1995, Risk Analysis.

[13]  D. Krewski,et al.  A simple data transformation for estimating benchmark doses in developmental toxicity experiments. , 1995, Risk analysis : an official publication of the Society for Risk Analysis.

[14]  M. Abdel‐Rahman,et al.  Studies on the use of uncertainty factors in deriving RfDs , 1995 .

[15]  M L Dourson,et al.  Evolution of science-based uncertainty factors in noncancer risk assessment. , 1996, Regulatory toxicology and pharmacology : RTP.

[16]  A. John Bailer,et al.  Estimating inhibition concentrations for different response scales using generalized linear models , 1997 .

[17]  R L Kodell,et al.  Upper confidence limits on excess risk for quantitative responses. , 1993, Risk analysis : an official publication of the Society for Risk Analysis.

[18]  D Krewski,et al.  A unified approach to risk assessment for cancer and noncancer endpoints based on benchmark doses and uncertainty/safety factors. , 1999, Regulatory toxicology and pharmacology : RTP.

[19]  L. Ryan,et al.  A semiparametric approach to risk assessment for quantitative outcomes. , 1996, Risk analysis : an official publication of the Society for Risk Analysis.

[20]  M L Dourson,et al.  Regulatory history and experimental support of uncertainty (safety) factors. , 1983, Regulatory toxicology and pharmacology : RTP.

[21]  Kenny S. Crump,et al.  Calculation of Benchmark Doses from Continuous Data , 1995 .

[22]  Edward J. Calabrese,et al.  A toxicological basis to derive generic interspecies uncertainty factors for application in human and ecological risk assessment , 1995 .