Abstract
Purpose
Objective uncertainty quantification (UQ) of a product life-cycle assessment (LCA) is a critical step for decision-making. Environmental impacts can be measured directly or by using models. Underlying mathematical functions describe a model that approximate the environmental impacts during various LCA stages. In this study, three possible uncertainty sources of a mathematical model, i.e., input variability, model parameter (differentiate from input in this study), and model-form uncertainties, were investigated. A simple and easy to implement method is proposed to quantify each source.
Methods
Various data analytics methods were used to conduct a thorough model uncertainty analysis; (1) Interval analysis was used for input uncertainty quantification. A direct sampling using Monte Carlo (MC) simulation was used for interval analysis, and results were compared to that of indirect nonlinear optimization as an alternative approach. A machine learning surrogate model was developed to perform direct MC sampling as well as indirect nonlinear optimization. (2) A Bayesian inference was adopted to quantify parameter uncertainty. (3) A recently introduced model correction method based on orthogonal polynomial basis functions was used to evaluate the model-form uncertainty. The methods are applied to a pavement LCA to propagate uncertainties throughout an energy and global warming potential (GWP) estimation model; a case of a pavement section in Chicago metropolitan area was used.
Results and discussion
Results indicate that each uncertainty source contributes to the overall energy and GWP output of the LCA. Input uncertainty was shown to have significant impact on overall GWP output; for the example case study, GWP interval was around 50%. Parameter uncertainty results showed that an assumption of ± 10% uniform variation in the model parameter priors resulted in 28% variation in the GWP output. Model-form uncertainty had the lowest impact (less than 10% variation in the GWP). This is because the original energy model is relatively accurate in estimating the energy. However, sensitivity of the model-form uncertainty showed that even up to 180% variation in the results can be achieved due to lower original model accuracies.
Conclusions
Investigating each uncertainty source of the model indicated the importance of the accurate characterization, propagation, and quantification of uncertainty. The outcome of this study proposed independent and relatively easy to implement methods that provide robust grounds for objective model uncertainty analysis for LCA applications. Assumptions on inputs, parameter distributions, and model form need to be justified. Input uncertainty plays a key role in overall pavement LCA output. The proposed model correction method as well as interval analysis were relatively easy to implement. Research is still needed to develop a more generic and simplified MCMC simulation procedure that is fast to implement.








Similar content being viewed by others
Explore related subjects
Discover the latest articles and news from researchers in related subjects, suggested using machine learning.References
Adrot O, Flaus JM (2014) Comparison of interval and Monte Carlo simulation for uncertainty propagation in atmospheric dispersion model. In Proceedings of the International Conference on Scientific Computing (CSC) (p. 1). The Steering Committee of The World Congress in Computer Science, Computer Engineering and Applied Computing (WorldComp)
Bayarri MJ, Berger JO, Paulo R, Sacks J, Cafeo JA, Cavendish J, Tu J (2007) A framework for validation of computer models. Technometrics 49(2):138–154
Bisinella V, Conradsen K, Christensen TH, Astrup TF (2016) A global approach for sparse representation of uncertainty in Life Cycle Assessments of waste management systems. Int J Life Cycle Assess 21(3):378–394
Castelletti A, Galelli S, Ratto M, Soncini-Sessa R, Young PC (2012) A general framework for dynamic emulation modelling in environmental problems. Environ Model Softw 34:5–18
Davis SE, Cremaschi S, Eden MR (2017) Efficient surrogate model development: optimum model form based on input function characteristics. Comput Aided Chem Eng 40:457–462
Di Maria F, Micale C, Contini S (2016) A novel approach for uncertainty propagation applied to two different bio-waste management options. Int J Life Cycle Assess 21(10):1529–1537
EPA U (2013) US transportation sector greenhouse gas emissions: 1990–2011. Office of Transportation and Air Quality EPA-420-F-13-033a
Gregory JR, Noshadravan A, Olivetti EA, Kirchain RE (2016) A methodology for robust comparative life cycle assessments incorporating uncertainty. Environ Sci Technol 50(12):6397–6405
Groen EA, Heijungs R (2017) Ignoring correlation in uncertainty and sensitivity analysis in life cycle assessment: what is the risk? Environ Impact Assess Rev 62:98–109
Groen EA, Heijungs R, Bokkers EAM, de Boer IJM (2014) Methods for uncertainty propagation in life cycle assessment. Environ Model Softw 62:316–325
Guerine A, El Hami A (2016) Uncertainty analysis of one stage gear system using interval analysis method. In Information Science and Technology (CiSt), 2016 4th IEEE International Colloquium IEEE, pp 670–674
Guo M, Murphy RJ (2012) LCA data quality: sensitivity and uncertainty analysis. Sci Total Environ 435:230–243
Hadjidoukas PE, Angelikopoulos P, Rossinelli D, Alexeev D, Papadimitriou C, Koumoutsakos P (2014) Bayesian uncertainty quantification and propagation for discrete element simulations of granular materials. Comput Methods Appl Mech Eng 282:218–238
Harvey JT, Meijer J, Ozer H, Al-Qadi IL, Saboori A, Kendall A (2016) Pavement life-cycle assessment framework. Publication, No. FHWA-HIF-16-014, US Department of Transportation, Federal Highway Administration (FHWA)
He Y, Xiu D (2016) Numerical strategy for model correction using physical constraints. J Comput Phys 313:617–634
Heijungs R, Huijbregts MA (2004) A review of approaches to treat uncertainty in LCA. In Proceedings of the IEMSS conference, Osnabruck
Heijungs R, Suh S (2013) The computational structure of life cycle assessment, vol 11. Springer Science and Business Media, Berlin
Huard D, Mailhot A (2006) A Bayesian perspective on input uncertainty in model calibration: application to hydrological model “abc”. Water Resour Res 42(7). https://doi.org/10.1029/2005WR004661
Iooss B, Lemaître P (2015) A review on global sensitivity analysis methods. In: Uncertainty management in simulation-optimization of complex systems. Springer, Boston, pp 101–122
Kavetski D, Kuczera G, Franks SW (2006) Bayesian analysis of input uncertainty in hydrological modeling: 1. Theory| NOVA. The University of Newcastle's Digital Repository
Kennedy MC, O'Hagan A (2001) Bayesian calibration of computer models. J Roy Stat Soc B 63(3):425–464
Kennedy MC, Anderson CW, Conti S, O’Hagan A (2006) Case studies in Gaussian process modelling of computer codes. Reliab Eng Syst Saf 91(10):1301–1309
Kersaudy P, Sudret B, Varsier N, Picon O, Wiart J (2015) A new surrogate modeling technique combining Kriging and polynomial chaos expansions–application to uncertainty analysis in computational dosimetry. J Comput Phys 286:103–117
Keshavarzzadeh V, Meidani H, Tortorelli DA (2016) Gradient based design optimization under uncertainty via stochastic expansion methods. Comput Methods Appl Mech Eng 306:47–76
Kreinovich V, Beck J, Ferregut C, Sanchez A, Keller GR, Averill M, Starks SA (2004) Monte-Carlo-type techniques for processing interval uncertainty, and their engineering applications. In: Proc. of the NSF Workshop on Reliable Engineering Computing, pp 139–160
Liang J, Zeng GM, Shen S, Guo SL, Li XD, Tan Y, Li JB (2015) Bayesian approach to quantify parameter uncertainty and impacts on predictive flow and mass transport in heterogeneous aquifer. Environ Sci Technol 12(3):919–928
Lloyd SM, Ries R (2007) Characterizing, propagating, and analyzing uncertainty in life-cycle assessment: a survey of quantitative approaches. J Ind Ecol 11(1):161–179
Lo SC, Ma HW, Lo SL (2005) Quantifying and reducing uncertainty in life cycle assessment using the Bayesian Monte Carlo method. Sci Total Environ 340(1):23–33
Loucks DP, Van Beek E, Stedinger JR, Dijkman JPM, Villars M (2005) Model sensitivity and uncertainty analysis. Water Resources Systems Planning and Management:255–290
Mendoza Beltran A, Prado V, Font Vivanco D, Henriksson PJ, Guinée JB, Heijungs R (2018) Quantified uncertainties in comparative life cycle assessment: what can be concluded? Environ Sci Technol 52(4):2152–2161
Muhanna RL, Mullen RL (2001) Uncertainty in mechanics problems—interval–based approach. J Eng Mech 127(6):557–566
Muleta MK, Nicklow JW (2005) Sensitivity and uncertainty analysis coupled with automatic calibration for a distributed watershed model. J Hydrol 306(1–4):127–145
O’Hagan A (2012) Probabilistic uncertainty specification: overview, elaboration techniques and their application to a mechanistic model of carbon flux. Environ Model Softw 36:35–48
Ozer H, Yang R, Al-Qadi IL (2017) Quantifying sustainable strategies for the construction of highway pavements in Illinois. Transport Res D-Tr E 51:1–13
Qiu Z, Elishakoff I (1998) Antioptimization of structures with large uncertain-but-non-random parameters via interval analysis. Comput Methods Appl Mech Eng 152(3–4):361–372
Qiu Z, Wang X (2005) Parameter perturbation method for dynamic responses of structures with uncertain-but-bounded parameters based on interval analysis. Int J Solids Struct 42(18):4958–4970
Raje D, Krishnan R (2012) Bayesian parameter uncertainty modeling in a macroscale hydrologic model and its impact on Indian river basin hydrology under climate change. Water Resour Res 48(8). https://doi.org/10.1029/2011WR011123
Robinson DL (2005) Accounting for bias in regression coefficients with example from feed efficiency. Livest Prod Sci 95(1–2):155–161
Rocco CM, Guarata N (2002) The use of interval arithmetic as an alternative method to evaluate uncertainty in input-output models. In: proceedings of the 14th international conference on input–output techniques, pp 10–15
Sandberg U (2011) Rolling resistance–basic information and state-of-the-art on measurement methods. Models for Rolling Resistance in Road Infrastructure Asset Management Systems (MIRIAM), http://miriam-co
Santero NJ, Horvath A (2009) Global warming potential of pavements. Environ Res Lett 4(3):034011
Shakiba M, Ozer H, Ziyadi M, Al-Qadi IL (2016) Mechanics based model for predicting structure-induced rolling resistance (SRR) of the tire-pavement system. Mech Time Depend Mater 20(4):579–600
Smith CDM (2015) Traffic data report for the Illinois Tollway system. Report, Prepared for the Illinois Toll Highway State Authority, Prepared by CDM Smith. Last downloaded from (https://www.illinoisvirtualtollway.com/Traffic/2015Traffic_Data_Report.pdf). Accessed 19 Jan 2017
Swiler LP, Romero VJ (2016) A survey of probabilistic uncertainty propagation and sensitivity analysis methods for computational applications. Simulation Credibility, Advances in Verification, Validation, and Uncertainty Quantification. Technical Publication, NASA/TP—2016–219422, The National Aeronautics and Space Administration (NASA), p 173
Tabatabaee N, Ziyadi M (2013) Bayesian approach to updating Markov-based models for predicting pavement performance. Transp Res Rec 2366:34–42
Uusitalo L, Lehikoinen A, Helle I, Myrberg K (2015) An overview of methods to evaluate uncertainty of deterministic models in decision support. Environ Model Softw 63:24–31
van Zelm R, Huijbregts MA (2013) Quantifying the trade-off between parameter and model structure uncertainty in life cycle impact assessment. Environ Sci Technol 47(16):9274–9280
Wang M, Huang Q (2016) A new hybrid uncertain analysis method for structural-acoustic systems with random and interval parameters. Comput Struct 175:15–28
Wang S, Chen W, Tsui KL (2009) Bayesian validation of computer models. Technometrics 51(4):439–451
Wei W, Larrey-Lassalle P, Faure T, Dumoulin N, Roux P, Mathias JD (2014) How to conduct a proper sensitivity analysis in life cycle assessment: taking into account correlations within LCI data and interactions within the LCA calculation model. Environ Sci Technol 49(1):377–385
Xiu D, Karniadakis GE (2002) The Wiener--Askey polynomial chaos for stochastic differential equations. SIAM J Sci Comput 24(2):619–644
Xiu D, Karniadakis GE (2003) Modeling uncertainty in flow simulations via generalized polynomial chaos. J Comput Phys 187(1):137–167
Zhao C, Guan F, Hong D, Jin J (2015) Interval analysis of uncertain structural systems using random model. In: Prognostics and System Health Management Conference (PHM), 2015. IEEE, pp 1–4
Ziyadi M, Al-Qadi IL (2017) Efficient surrogate method for predicting pavement response to various tire configurations. Neural Comput & Applic 28(6):1355–1367
Ziyadi M, Ozer H, Al-Qadi IL (2017) Functional unit choice for comparative pavement LCA involving use-stage with pavement roughness uncertainty quantification (UQ). In: Proceedings of the Symposium on Life-Cycle Assessment of Pavements, pp 12–13
Ziyadi M, Ozer H, Kang S, Al-Qadi IL (2018) Vehicle energy consumption and an environmental impact calculation model for the transportation infrastructure systems. J Clean Prod 174:424–436
Acknowledgements
The contents of this paper reflect the views of the authors, who are responsible for the facts and the accuracy of the data presented herein. The contents do not necessarily reflect the official view or policies of the Illinois Tollway or ICT. This paper does not constitute a standard, specification, or regulation. The authors would also like to thank Dr. Hadi Meidani for his inputs and constructive comments.
Funding
Part of this work is funded by the Illinois State Toll Highway Authority through the Illinois Center for Transportation.
Author information
Authors and Affiliations
Corresponding author
Additional information
Responsible editor: Yi Yang
Rights and permissions
About this article
Cite this article
Ziyadi, M., Al-Qadi, I.L. Model uncertainty analysis using data analytics for life-cycle assessment (LCA) applications. Int J Life Cycle Assess 24, 945–959 (2019). https://doi.org/10.1007/s11367-018-1528-7
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11367-018-1528-7


