Abstract
Purpose
Parameterization refers to the practice of presenting Life Cycle Assessment (LCA) data using raw data and formulas instead of computed numbers in unit process datasets within databases. This paper reviews parameterization methods in the European Reference Life Cycle Data System (ELCD), ecoinvent v3, and the US Department of Agriculture's Digital Commons with the intent of providing a basis for continued methodological and coding advances.
Methods
Parameterized data are reviewed and categorized with respect to the type (raw data and formulas) and what is being represented (e.g., consumption and emission rates and factors, physical or thermodynamic properties, process efficiencies, etc.). Parameterization of engineering relationships and uncertainty distributions using Smirnov transforms (a.k.a. inverse transform sampling), and ensuring uncertain individual fractions (e.g., market shares) sum to the total value of interest are presented.
Results
Seventeen categories of parameters (raw data and formulas) are identified. Thirteen ELCD unit process datasets use 975 parameters in 12 categories, with 124 as raw data points and 851 as formulas, and emission factors as the most common category of parameter. Five additional parameter categories are identified in the Digital Commons for the presentation and analysis of data with uncertainty information, through 146 parameters, of which 53 represent raw data and 93 are formulas with most being uncertainty parameters, percentages, and consumption parameters.
Conclusions
Parameterization is a powerful way to ensure transparency, usability, and transferability of LCI data. Its use is expected to increase in frequency, the categories of parameters used, and the types of computational methods employed.
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Notes
Available at http://lca.jrc.ec.europa.eu/lcainfohub/datasetArea.vm.
Available at http://www.ecoinvent.ch/.
Based on personal communication with Michael Srocka of Green Delta TC (http://greendeltatc.com/index.html) on June 10, 2011.
Data are available at http://www.ers.usda.gov/Data/ARMS/.
Personal communication, March 16, 2011.
Specifically, for a continuous variable x with a cumulative distribution function of F(x), the random variable y = F(x) has a uniform distribution on [0, 1]. Thus, by passing random numbers on the unit interval through the quantile, a sample of a random variable governed by the cumulative distribution function is obtained.
Note that ILCD supports the random() function for the generation of a uniform distribution on [0,1] which could be used instead of explicitly specifying the uniform distribution. However, it is not clear if EcoSpold v2 will also support random() and, either way, it must be ensured that the distribution is consistently applied within each estimation of z p .
These data are available at http://www.ers.usda.gov/Data/FertilizerUse/, and note that geographic specificity is national, thus a larger area than is intended to be represented by the Washington State unit process data, and thus having lower data quality for geographic representativeness.
These data are available in Section 9 of 22 (9e—Nitrogen Fertilizer Guide) at http://www.nm.nrcs.usda.gov/technical/handbooks/iwm/NM_IWM_Field_Manual/Section09/9e-Nitrogen_Fertilizer_Guide.pdf and assuming “nitrogen solutions” can be represented as “mixtures of urea and ammonium nitrate in aqueous or ammoniacal solution” (URAN) as inferred from the Harmonized Tariff Schedule code at http://www.ers.usda.gov/Data/FertilizerTrade/documentation.htm.
References
Birkved M, Hauschild M (2006) PestLCI—a new model for estimation of inventory data for pesticide applications. Ecol Model 198:433–451
Birkved M, Heijungs R (2011) Simplified fate modelling in respect to ecotoxicological and human toxicological characterisation of emissions of chemical compounds. Int J Life Cycle Assess 16(8):739–747
Björklund AE (2002) Survey of approaches to improve reliability in LCA. Int J Life Cycle Assess 7(2):64–72
Bojacá CR, Schrevens E (2010) Parameter uncertainty in LCA: stochastic sampling under correlation. Int J Life Cycle Assess 15(3):238–246
Dawson FH (1975) Alternatives to the use of tabulated values of distributions in statistical programs. Nature 256:148
Gaver DP, Kafadar K (1984) A retrievable recipe for inverse t. Am Stat 38:308–311
Gleason JR (2000) A note on a proposed student t approximation. Comput Stat Data An 34:63–66
Heijungs RR Frischknecht (2005) representing statistical distributions for uncertain parameters in LCA. Int J LCA 10(4):248–254
Hill GW (1970) Algorithm 396 Student's t quantiles. Commun ACM 13(10):619–620
Hong J, Shaked S, Rosenbaum RK, Jolliet O (2010) Analytical uncertainty propagation in life cycle inventory and impact assessment: application to an automobile front panel. Int J Life Cycle Asses 15(5):499–510
Huijbregts MAJ (1998) Application of uncertainty and variability in LCA. Int J Life Cycle Assess 3:273–280
Ibáñez-Forés V, Bovea M, Simó A (2011) Life cycle assessment of ceramic tiles. Environmental and statistical analysis. Int J Life Cycle Assess 16(9):916–928
Joint Research Center (2010) International Reference Life Cycle Data System (ILCD). Documentation of LCA data sets. Ispra, Italy: European Commission. Retrieved from lct.jrc.ec.europa.eu/
Kim CS, Hallahan C, Lindamood W, Schaible G, Payne J (2004) A note on the reliability tests of estimates from ARMS data. Agr Resource Econ Rev 33(2):293–297
Koehler KJ (1983) A simple approximation for the percentiles of the t distribution. Technometrics 25(1):103–105
Lloyd SM, Ries R (2007) Characterizing, propagating, and analyzing uncertainty in life-cycle assessment: a survey of quantitative approaches. J Ind Ecol 11:161–179
Reap J, Roman F, Duncan S, Bras B (2008) A survey of unresolved problems in life cycle assessment. Int J Life Cycle Assess 13(5):374–388
Röös E, Sundberg C, Hansson P (2010) Uncertainties in the carbon footprint of food products: a case study on table potatoes. Int J Life Cycle Assess 15(5):478–488
Shaw WT (2006) Sampling Student's T distribution—use of the inverse cumulative distribution function. J Comput Finance 9(4):37–73
Sommer JE, Hoppe RA, Green RC, Korb PJ (1998) Structural and financial characteristics of US farms, 1995: 20th Annual Family Farm Report to Congress. Retrieved from http://www.ers.usda.gov/publications/aib746/
Spiegel MR, Schiller JJ, Srinivasan RA, Alu R (2009) Schaum's outlines—probability and statistics, 3rd edn. McGraw-Hill, New York, NY
Ventura A (2011) Classification of chemicals into emission-based impact categories: a first approach for equiprobable and site-specific conceptual frames. Int J Life Cycle Assess 16(2):148–158
Weidema BP, Bauer C, Hischier R, Mutel C, Nemecek T, Vadenbo CO, Wernet G (2011) Overview and methodology: data quality guideline for the ecoinvent database version 3 (final draft_revision 1). Retrieved from http://www.ecoinvent.org/fileadmin/documents/en/ecoinvent_v3_elements/01_DataQualityGuideline_FinalDraft_rev1.pdf
Winitzki S (2003) Uniform approximations for transcendental functions. Proceedings of the ICCSA—2003, LNCS 2667 (p. 962). Presented at the International Conference on Computational Science and Its Applications—2003
Winitzki S (2008) A handy approximation for the error function and its inverse. Retrieved from http://homepages.physik.uni-muenchen.de/~Winitzki/erf-approx.pdf
Acknowledgments
This research was funded by the United States Department of Agriculture National Agricultural Library (agreement number 58-8201-0-149).
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Cooper, J.S., Noon, M. & Kahn, E. Parameterization in Life Cycle Assessment inventory data: review of current use and the representation of uncertainty. Int J Life Cycle Assess 17, 689–695 (2012). https://doi.org/10.1007/s11367-012-0411-1
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DOI: https://doi.org/10.1007/s11367-012-0411-1