Characterizing, simulating, and analyzing variability and uncertainty: An illustration of methods using an air toxics emissions example

Human and Ecological Risk Assessment (HERA)

Volumn 2, Issue 4, 1996, Pages 762-797

  Frey, H Christopher ^a   Rhodes, David S ^a  

^a North Carolina State University   (United States)

Author keywords

Air toxics; Bootstrap; Correlation; Dependence; Emissions; Monte Carlo; Uncertainty; Variability

Indexed keywords

EID: 21444446390     PISSN: 10807039     EISSN: None     Source Type: Journal    
DOI: 10.1080/10807039609383650     Document Type: Article

References (25)

1. Bogen, K.T. and Spear R.C. 1987. Integrating uncertainty and interindividual variability in environmental risk assessment, Risk Anal. 7, 4, 427-436.
2. Cheng, B. H., Woodcock, B., Sargent, D., and Gleit, A. 1982. Time series analysis of coal data from preparation plants, J. Air Pollut. Control Assoc., 32, 11, 1137-1141.
3. Clarke, L.B. 1993. The behavior of trace elements during coal combustion and gasification: An overview, In: Managing Hazardous Air Pollutants: State of the Art, pp. 358-370. (Chow, W., and Conner, K., Eds.). Boca Raton, FL, CRC Press.
4. Efron, B. and Tibshirani, R.J. 1993. An Introduction to the Bootstraf. New York, Chapman and Hall.
5. Electric Power Research Institute. 1994a. Electric Utility Trace Substances Synthesis Report, Volume 1: Synthesis Report. TR-104614-V1. Palo Alto, CA, Electric Power Research Institute.
6. Electric Power Research Institute 1994b. Electric Utility Trace Substances Synthesis Report, Volume 2: Appendices A through N. TR-104614-V2. Palo Alto, CA, Electric Power Research Institute.
7. Frey, H.C. 1992. Quantitative Analysis of Uncertainty and Variability in Environmental Policy Making, Directorate for Science and Policy Programs, Washington, DC, American Association for the Advancement of Science, 1992.
8. Hahn, G.J. and Meeker, W.Q. 1991. Statistical Intervals: A Guide for Practitioners. New York, John Wiley and Sons.
9. Hahn, G.J. and Shapiro, S.S. 1967. Statistical Models in Engineering. New York, John Wiley and Sons.
10. Haimes, Y.Y., Barry, T., and Lambert, J.H., Eds. 1994. Workshop proceedings: When and how can you specify a probability distribution when you don't know much?, Risk Anal., 15, 5, 661-706.
11. Hattis, D. and Burmaster, D.E. 1994. Assessment of variability and uncertainty distributions for practical risk analyses, Risk Anal., 14, 5, 713-729.
12. Helton, J.C. 1996. Probability, Conditional Probability, and Complementary Cumulative Distribution Functions in Performance Assessment for Radioactive Waste Disposal, Report No. SAND95-2571, Albuquerque, NM, Sandia National Laboratories, March.
13. Hoffman, F.O. and Hammonds, J.S. 1994. Propagation of uncertainty in risk assessments: The need to distinguish between uncertainty due to lack of knowledge and uncertainty due to variability, Risk Anal., 14, 5, 707-712.
14. Hoffman, F.O. and Thiessen, K.M. 1995. Use of Chernobyl data to test predictions and uncertainty estimates from exposure assessment models, Proceedings of an International Symposium on Environmental Impact of Radioactive Releases, Vienna, Austria, International Atomic Energy Agency.
15. IAEA (International Atomic Energy Agency). 1989. Evaluating the reliability of predictions made using environmental transfer models, Safety Series, No. 100, Vienna, Austria, International Atomic Energy Agency.
16. Kaplan, S. and Garrick, B.J. 1981. On the quantitative definition of risk, Risk Anal., 1, 1, 11-27.
17. MacIntosh, D.L., Suter, G.W., II, and Hoffman, F.O. 1994. Uses of probabilistic exposure models in ecological risk assessments of contaminated sites, Risk Anal., 14, 4, 405-419.
18. Maxwell, W.H. 1993. Status of the EPA study of the hazards to public health from electric utility steam generating unit hazardous air pollutant emissions, Proceedings, Second International Conference on Managing Hazardous Air Pollutants, Palo Alto, CA, Electric Power Research Institute, July.
19. Morgan, M.G. and Henrion, M. 1990. Uncertainty: A Guide to Dealing with Uncertainty in Quantitative Risk and Policy Analysis, New York, Cambridge University Press.
20. Rubin, E.S., Berkenpas, M.B., Frey, H.C., and Toole-O'Neil, B. 1993. Modeling the uncertainty in hazardous air pollutant emissions, Proceedings, Second International Conference on Managing Hazardous Air Pollutants, Palo Alto, CA, Electric Power Research Institute, July.
21. Shih, J.S. and Frey, H.C. 1995. Coal blending optimization under uncertainty, Eur. J. Operations Res., 83, 3, 452-465.
22. Small, M.J. 1990. Probability distributions and statistical estimation, In: Uncertainty: A Guide to Dealing with Uncertainty in Quantitative Risk and Policy Analysis, Chapter 5. (Morgan, M.G. and Henrion, M.), New York, Cambridge University Press.
23. x Control Technologies, Paper 96-139.06, Proceedings of the 89th Annual Meeting, Pittsburgh, PA, Air & Waste Management Association, June.
24. (USEPA) Environmental Protection Agency 1992. Guidelines for exposure assessment, Federal Register, 57, 104, 22888-22938.
25. Wald, A. and Wolfowitz, J. 1946. Tolerance limits for a normal distribution, Ann. Math. Stat., 17, 208-215.