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Environmental Risk Assessment of Emerging Contaminants Using Degradation Data

Author

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  • Lanqing Hong

    (National University of Singapore
    National University of Singapore Suzhou Research Institute)

  • Zhi-Sheng Ye

    (National University of Singapore
    National University of Singapore Suzhou Research Institute)

  • Ran Ling

    (National University of Singapore)

Abstract

The degradation behavior of an emerging contaminant is a key factor in its environmental risk assessment. Existing risk assessment methods based on EC degradation data commonly neglect the time-varying volatility of the degradation, the possible correlations in degradation between different ECs, and the estimation errors. To fill the gaps, this paper proposes an EC risk assessment framework based on the Wiener process. We first focus on degradation data from competitive experiments, which are adopted to evaluate a useful risk indicator, i.e., the bimolecular rate constant of a degradation reaction. A two-dimensional Wiener process model is developed to capture the degradation behaviors of the target EC and a reference contaminant in the experiment. Point and interval estimations of desired quantities, including the rate constant and the degradation half-life, are developed. We further extend the model to the multivariate case, which is applicable to waste water treatment where multiple ECs degrade in a mixed solution. A risk indicator for the mixed solution is proposed, based on which a minimal treatment time can be determined. Both point and interval estimation procedures of the risk indicator and the minimal treatment time are proposed. Two EC degradation datasets are used to demonstrate the proposed methodologies. Supplementary materials accompanying this paper appear on-line.

Suggested Citation

  • Lanqing Hong & Zhi-Sheng Ye & Ran Ling, 2018. "Environmental Risk Assessment of Emerging Contaminants Using Degradation Data," Journal of Agricultural, Biological and Environmental Statistics, Springer;The International Biometric Society;American Statistical Association, vol. 23(3), pages 390-409, September.
  • Handle: RePEc:spr:jagbes:v:23:y:2018:i:3:d:10.1007_s13253-018-0326-9
    DOI: 10.1007/s13253-018-0326-9
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    References listed on IDEAS

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    1. Lanqing Hong & Zhi-Sheng Ye & Josephine Kartika Sari, 2018. "Interval estimation for Wiener processes based on accelerated degradation test data," IISE Transactions, Taylor & Francis Journals, vol. 50(12), pages 1043-1057, December.
    2. Hannig, Jan & Iyer, Hari & Patterson, Paul, 2006. "Fiducial Generalized Confidence Intervals," Journal of the American Statistical Association, American Statistical Association, vol. 101, pages 254-269, March.
    3. Xiao Liu & Khalifa N. Al-Khalifa & Elsayed A. Elsayed & David W. Coit & Abdelmagid S. Hamouda, 2014. "Criticality measures for components with multi-dimensional degradation," IISE Transactions, Taylor & Francis Journals, vol. 46(10), pages 987-998, October.
    4. Alexander Shapiro & Jos Berge, 2002. "Statistical inference of minimum rank factor analysis," Psychometrika, Springer;The Psychometric Society, vol. 67(1), pages 79-94, March.
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    Cited by:

    1. Shin-Fu Tsai, 2019. "Comparing Coefficients Across Subpopulations in Gaussian Mixture Regression Models," Journal of Agricultural, Biological and Environmental Statistics, Springer;The International Biometric Society;American Statistical Association, vol. 24(4), pages 610-633, December.
    2. Ma, Chengye & Du, Yongjun & Zhang, Yuchun & Cai, Zhiqiang, 2022. "Marginal and joint failure importance for K-terminal network edges under counting process," Reliability Engineering and System Safety, Elsevier, vol. 223(C).
    3. Fang, Guanqi & Pan, Rong & Wang, Yukun, 2022. "Inverse Gaussian processes with correlated random effects for multivariate degradation modeling," European Journal of Operational Research, Elsevier, vol. 300(3), pages 1177-1193.
    4. Wu, Xin & Huang, Tingting & Liu, Jie, 2023. "Common stochastic effects induced multivariate degradation process with temporal dependency in degradation characteristic and unit dimensions," Reliability Engineering and System Safety, Elsevier, vol. 239(C).

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