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Journal of Environmental Accounting and Management
António Mendes Lopes (editor), Jiazhong Zhang(editor)
António Mendes Lopes (editor)

University of Porto, Portugal

Email: aml@fe.up.pt

Jiazhong Zhang (editor)

School of Energy and Power Engineering, Xi'an Jiaotong University, Xi'an, Shaanxi Province 710049, China

Fax: +86 29 82668723 Email: jzzhang@mail.xjtu.edu.cn


Sustainability Analysis and Systems of Linear Equations in the Era of Data Abundance

Journal of Environmental Accounting and Management 3(2) (2015) 109--122 | DOI:10.5890/JEAM.2015.06.003

Reinout Heijungs$^{1}$,$^{2}$, Arjan de Koning$^{2}$, Anneke Wegener Sleeswijk$^{2}$

$^{1}$ Department of Econometrics and Operations Research, VU University Amsterdam, Amsterdam, The Netherlands

$^{2}$ Institute of Environmental Sciences, Leiden University, Leiden, The Netherlands

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Abstract

Sustainability research has entered an era of data abundance, in which online repositories offer millions of facts on production, consumption, pollution, and impacts. The combination of such facts in linear models leads increasingly to computational problems, relating to memory, speed, accuracy, and stability. This paper examines this phenomenon from the perspective of three widely-used types of sustainability analysis: multimedia fate and exposure models, life cycle assessment of products, and environmentally extended input-output analysis. The paper describes the various theoretical arguments, some indicators, and some solutions. Moreover, it adds the empirical evidence from one of these analysis types, namely life cycle assessment. It concludes that the phenomena indeed occur in practice, that abstract indicators ignore the subtle differences between different types of environmental impacts, and that a sound strategy for dealing with these problems is the critical analysis of results together with the variation of the computational principles.

Acknowledgments

This work was supported in part by a grant from the EU through the FP7-CREEA project. Rolf Frischknecht (www.treeze.ch) and James Sumner (former student at Leiden University) helped to form the ideas presented.

References

  1. [1]  Atkinson, K.E. (1989), An introduction to numerical analysis. Second edition. John Wiley & Sons, New York.
  2. [2]  Ciroth, A. (2001), Fehlerrechnung in ?kobilanzen. Dissertation TU Berlin.
  3. [3]  CMLCA. Scientific software for LCA, IOA, EIOA, and more. http://www.cmlca.eu/
  4. [4]  Cheney, W. and Kincaid, D. (1999), Numerical mathematics and computing. Fourth edition. Brooks/Cole Publishing Company, Pacific Grove.
  5. [5]  Dorfman, R., Samuelson, P.A. and Solow, R.M. (1958), Linear programming and economic analysis. McGraw-Hill Book Company, Inc., New York.
  6. [6]  ecoinvent. http://www.ecoinvent.ch/
  7. [7]  EPA. http://www.epa.gov/
  8. [8]  Eurostat. http://epp.eurostat.ec.europe.eu/
  9. [9]  Eye on Earth. http://www.eyeonearth.org/
  10. [10]  Fadeeva, V.N. (1959), Computational methods of linear algebra. Dover Publications, Inc., New York.
  11. [11]  Fava, J.A., Denison, R., Jones, B., Curran, M.A., Vigon, B., Selke, S. and Barnum, J. (1991), A technical framework for life-cycle assessments. SETAC, Washington.
  12. [12]  Forsythe, C. and Moler, C.B. (1967), Computer Solution of Linear Algebraic Systems. Englewood Cliffs.
  13. [13]  Frischknecht, R. and Jungbluth, N. (2004), Overview and methodology. ecoinvent report No. 1. ecoinvent, Dübendorf.
  14. [14]  Global Earth Observation of Systems (GEOSS), http://www.epa.gov/geoss/
  15. [15]  Golub, G.H. and van Loan, C.F. (1989), Matrix computations. Second edition. The Johns Hopkins University Press, Baltimore.
  16. [16]  Heijungs, R. and de Koning, A. (2011), Computational challenges in huge LCA and EEIOA systems. Paper presented at the EnviroInfo Conference, October 5-7, 2011, Ispra, Italy.
  17. [17]  Heijungs, R. and Suh, S. (2002), The computational structure of life cycle assessment. Kluwer Academic Publishers, Dordrecht.
  18. [18]  Leontief, W. (1951), The Structure of the American Economy, 1919–1939: An Empirical Application of Equilibrium Analysis. Second edition. Oxford: Oxford University Press.
  19. [19]  Leontief, W. (1970), Environmental repercussions and the economic structure: an input-output approach, Review of Economics and Statistics LII: 262-271.
  20. [20]  Mackay, D. (1979), Finding fugacity feasible, Environmental Science & Technology 13(10): 1218-1223.
  21. [21]  Matlab. http://www.mathworks.com/
  22. [22]  Matrix Market. http://math.nist.gov/MatrixMarket/
  23. [23]  Möller, A. and Rolf, A. (1995), Methodische Ansätze zur Erstellung von Stoffstromanalyse. In: Schmidt M, Schorb A (1995). Stoffstromanalysen in Ökobilanzen und Öko-Audits. Springer, Berlin.
  24. [24]  Neter, J., Kutner, M.H., Nachtsheim, C.J. and Wasserman, W. (1996), Applied linear statistical models. Fourth edition. Irwin, Chicago.
  25. [25]  Press, W.H., Flannery, B.P., Teukolsky, S.A. and Vetterling, W.T. (1992), Numerical recipes in Pascal. The art of scientific computing. Cambridge University Press, Cambridge.
  26. [26]  Rosenbaum, R.K., Margni, M. and Jolliet, O. (2007), A flexible matrix algebra framework for the multimedia multipathway modeling of emission to impacts, Environment International 33(5): 624-634.
  27. [27]  Saad, Y. (2003), Iterative methods for sparse linear systems. Second edition. SIAM, Philadelphia.
  28. [28]  Seppelt, R. and Richter, O. (2005), “It was an artefact not the result”. A note on systems dynamic model development tools, Environmental Modelling & Software 20: 1543-1548.
  29. [29]  Stewart, G.W. and Sun, J.G. (1990), Matrix perturbation theory. Academic Press, Inc., Boston.
  30. [30]  Tukker, A., Poliakov, E., Heijungs, R., Hawkins, T., Neuwahl, F., Rueda-Cantuche, J.M., Giljum, S., Moll, S., Oosterhaven, J. and Bouwmeester, M. (2009), Towards a global multi-regional environmentally extended input–output database, Ecological Economics 68(7): 1928-1937.
  31. [31]  Sleeswijk, A.W. and Heijungs, R. (2010), GLOBOX. A spatially differentiated global fate, intake and effect model for toxicity assessment in LCA, Science of the Total Environment 408(14): 2817-2832.
  32. [32]  Westlake, J.R. (1968), A handbook of numerical matrix inversion and solution of linear equations. John Wiley & Sons, Inc., New York.