Probabilistic material flow modeling for assessing the environmental exposure to compounds: Methodology and an application to engineered nano-TiO2 particles

An elementary step towards a quantitative assessment of the risks of new compounds or pollutants (chemicals, materials) to the environment is to estimate their environmental concentrations. Thus, the calculation of predicted environmental concentrations (PECs) builds the basis of a first exposure assessment. This paper presents a probabilistic method to compute distributions of PECs by means of a stochastic stationary substance/material flow modeling. The evolved model is basically applicable to any substance with a distinct lack of data concerning environmental fate, exposure, emission and transmission characteristics. The model input parameters and variables consider production, application quantities and fate of the compounds in natural and technical environments. To cope with uncertainties concerning the estimation of the model parameters (e.g. transfer and partitioning coefficients, emission factors) as well as uncertainties about the exposure causal mechanisms (e.g. level of compound production and application) themselves, we utilized and combined sensitivity and uncertainty analysis, Monte Carlo simulation and Markov Chain Monte Carlo modeling. The combination of these methods is appropriate to calculate realistic PECs when facing a lack of data. The proposed model is programmed and carried out with the computational tool R and implemented and validated with data for an exemplary case study of flows of the engineered nanoparticle nano-TiO"2 in Switzerland.

[1]  Michael D Sohn,et al.  Standardized Approach for Developing Probabilistic Exposure Factor Distributions , 2004, Risk analysis : an official publication of the Society for Risk Analysis.

[2]  Thilo Hofmann,et al.  Beispiele für Nutzen und Risiko der Nanotechnologie aus der Sicht der Umweltgeowissenschaften — Was Wir Wissen und was Wir Lernen Müssen , 2007 .

[3]  B. Nowack,et al.  Exposure modeling of engineered nanoparticles in the environment. , 2008, Environmental science & technology.

[4]  Michael J. Crawley,et al.  The R book , 2022 .

[5]  Anthony J. Jakeman,et al.  Ten iterative steps in development and evaluation of environmental models , 2006, Environ. Model. Softw..

[6]  H. Jeffreys Logical Foundations of Probability , 1952, Nature.

[7]  Peter Arnfalk,et al.  Nanoparticulate materials and regulatory policy in Europe: An analysis of stakeholder perspectives , 2006 .

[8]  John P. Norton Algebraic sensitivity analysis of environmental models , 2008, Environ. Model. Softw..

[9]  T. McKone,et al.  TRACKING MULTIPLE PATHWAYS OF HUMAN EXPOSURE TO PERSISTENT MULTIMEDIA POLLUTANTS: Regional, Continental, and Global-Scale Models , 2003 .

[10]  B Finley,et al.  The benefits of probabilistic exposure assessment: three case studies involving contaminated air, water, and soil. , 1994, Risk analysis : an official publication of the Society for Risk Analysis.

[11]  Arnim Wiek,et al.  Risks and nanotechnology: the public is more concerned than experts and industry. , 2007, Nature nanotechnology.

[12]  Norbert Nothbaum,et al.  Induktiv-stochastische Risikoabschätzung mit dem Donator-Akzeptor-Modell am Beispiel der Gesundheitsbelastung durch cadmiumbelastete Weizenackerböden , 1992 .

[13]  C. E. Cowan,et al.  The Multi-Media Fate Model: A Vital Tool for Predicting the Fate of Chemicals, , 1995 .

[14]  Mihail C Roco,et al.  Environmentally responsible development of nanotechnology. , 2005, Environmental science & technology.

[15]  Peter A. Vanrolleghem,et al.  Uncertainty in the environmental modelling process - A framework and guidance , 2007, Environ. Model. Softw..

[16]  D E Burmaster,et al.  Principles of good practice for the use of Monte Carlo techniques in human health and ecological risk assessments. , 1994, Risk analysis : an official publication of the Society for Risk Analysis.

[17]  P. Brunner,et al.  Metabolism of the Anthroposphere , 1991 .

[18]  Mark J. Nieuwenhuijsen,et al.  Human exposure modelling for chemical risk assessment: a review of current approaches and research and policy implications , 2006 .

[19]  Martin Scheringer,et al.  A simple measure for precautionary assessment of organic chemicals with respect to global cold condensation , 2006 .

[20]  Imoh Antai,et al.  A probabilistic approach to exposure risk assessment , 2008 .

[21]  Konrad Hungerbühler,et al.  Investigation of the Cold Condensation of Persistent Organic Pollutants with a Global Multimedia Fate Model , 2000 .

[22]  Jon A. Arnot,et al.  Mass Balance Models for Chemical Fate, Bioaccumulation, Exposure and Risk Assessment , 2009 .

[23]  Hilko van der Voet,et al.  Integration of Probabilistic Exposure Assessment and Probabilistic Hazard Characterization , 2007, Risk analysis : an official publication of the Society for Risk Analysis.

[24]  Konrad Hungerbühler,et al.  Investigating the mechanics of multimedia box models: How to explain differences between models in terms of mass fluxes? , 2004, Environmental toxicology and chemistry.

[25]  T S Wallsten,et al.  A risk assessment for selected lead-induced health effects: an example of a general methodology. , 1989, Risk analysis : an official publication of the Society for Risk Analysis.

[26]  K. Hungerbühler,et al.  The origin and significance of short-term variability of semivolatile contaminants in air. , 2007, Environmental science & technology.

[27]  E. Caldas,et al.  Probabilistic assessment of the cumulative acute exposure to organophosphorus and carbamate insecticides in the Brazilian diet. , 2006, Toxicology.

[28]  Scot T. Martin,et al.  8. Atmospheric Nanoparticles , 2001 .

[29]  B. Nowack,et al.  Occurrence, behavior and effects of nanoparticles in the environment. , 2007, Environmental pollution.

[30]  Matthew MacLeod,et al.  Evaluating and expressing the propagation of uncertainty in chemical fate and bioaccumulation models , 2002, Environmental toxicology and chemistry.

[31]  D Mackay,et al.  BETR North America: A regionally segmented multimedia contaminant fate model for North America , 2001, Environmental science and pollution research international.

[32]  Jim Albert,et al.  Bayesian Computation with R , 2008 .

[33]  Helmut Rechberger,et al.  Practical handbook of material flow analysis , 2003 .

[34]  Konrad Hungerbühler,et al.  Contribution of volatile precursor substances to the flux of perfluorooctanoate to the Arctic. , 2008, Environmental science & technology.

[35]  T. McKone,et al.  PREDICTING THE UNCERTAINTIES IN RISK ASSESSMENT , 1991 .

[36]  M. Kandlikar,et al.  Health risk assessment for nanoparticles: A case for using expert judgment , 2006 .

[37]  Michael Riediker,et al.  Use of nanoparticles in Swiss Industry: a targeted survey. , 2008, Environmental science & technology.

[38]  J. Siemiatycki,et al.  0289 ”david´s cheese bread” method: workload quantitative exposure thresholds detection using adjusted hazard multivariate parametric modelling, useful in cumulative-trauma disorders prevention and within their causal assessment , 2017, Occupational and Environmental Medicine.

[39]  Vicki Stone,et al.  Research priorities to advance eco-responsible nanotechnology. , 2009, ACS nano.

[40]  Roland W Scholz,et al.  Decision making under uncertainty in case of soil remediation. , 2006, Journal of environmental management.

[41]  H. Christopher Frey,et al.  Probabilistic Techniques in Exposure Assessment: A Handbook for Dealing with Variability and Uncertainty in Models and Inputs , 1999 .

[42]  H. Christopher Frey,et al.  Quantitative Analysis of Uncertainty and Variability in Environmental Policy Making , 1992 .

[43]  Karl Überla,et al.  Gesundheit und Umwelt , 1992 .

[44]  Scot T. Martin,et al.  Atmospheric Nanoparticles , 2010 .

[45]  Kazuo Katao,et al.  Nanomaterials may call for a reconsideration of the present Japanese chemical regulatory system , 2006 .

[46]  Antonio Di Guardo,et al.  Assessing the fate of new and existing chemicals: A five‐stage process , 1996 .

[47]  Roland W. Scholz,et al.  Embedded Case Study Methods , 2002 .

[48]  Igor Linkov,et al.  Multi-criteria decision analysis and environmental risk assessment for nanomaterials , 2007 .

[49]  W. Slob,et al.  Integration of Probabilistic Exposure Assessment and Probabilistic Hazard Characterization , 2007 .