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Applications of aggregation theory to sustainability assessment

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  • Pollesch, N.
  • Dale, V.H.

Abstract

In order to aid operations that promote sustainability goals, researchers and stakeholders use sustainability assessments. Although assessments take various forms, many utilize diverse sets of indicators numbering anywhere from two to over 2000. Indices, composite indicators, or aggregate values are used to simplify high dimensional and complex data sets and to clarify assessment results. Although the choice of aggregation function is a key component in the development of the assessment, there are few literature examples to guide appropriate aggregation function selection. This paper applies the mathematical study of aggregation functions to sustainability assessment in order to aid in providing criteria for aggregation function selection. Relevant mathematical properties of aggregation functions are presented and interpreted. Cases of these properties and their relation to previous sustainability assessment research are provided. Examples show that mathematical aggregation properties can be used to address the topics of compensatory behavior and weak versus strong sustainability, aggregation of data under varying units of measurements, multiple site multiple indicator aggregation, and the determination of error bounds in aggregate output for normalized and non-normalized indicator measures.

Suggested Citation

  • Pollesch, N. & Dale, V.H., 2015. "Applications of aggregation theory to sustainability assessment," Ecological Economics, Elsevier, vol. 114(C), pages 117-127.
  • Handle: RePEc:eee:ecolec:v:114:y:2015:i:c:p:117-127
    DOI: 10.1016/j.ecolecon.2015.03.011
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    References listed on IDEAS

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    1. Fuad Aleskerov & Boris Goldengorin & Panos M. Pardalos (ed.), 2014. "Clusters, Orders, and Trees: Methods and Applications," Springer Optimization and Its Applications, Springer, edition 127, number 978-1-4939-0742-7, August.
    2. Marin, Giovanni & Mazzanti, Massimiliano & Montini, Anna, 2012. "Linking NAMEA and Input output for ‘consumption vs. production perspective’ analyses," Ecological Economics, Elsevier, vol. 74(C), pages 71-84.
    3. Ebert, Udo & Welsch, Heinz, 2004. "Meaningful environmental indices: a social choice approach," Journal of Environmental Economics and Management, Elsevier, vol. 47(2), pages 270-283, March.
    4. Diaz-Balteiro, Luis & Romero, Carlos, 2004. "In search of a natural systems sustainability index," Ecological Economics, Elsevier, vol. 49(3), pages 401-405, July.
    5. Bohringer, Christoph & Jochem, Patrick E.P., 2007. "Measuring the immeasurable -- A survey of sustainability indices," Ecological Economics, Elsevier, vol. 63(1), pages 1-8, June.
    6. Kopmann, Angela & Rehdanz, Katrin, 2013. "A human well-being approach for assessing the value of natural land areas," Ecological Economics, Elsevier, vol. 93(C), pages 20-33.
    7. Aczel, Janos & Roberts, Fred S., 1989. "On the possible merging functions," Mathematical Social Sciences, Elsevier, vol. 17(3), pages 205-243, June.
    8. Lenzen, Manfred, 2007. "Aggregation (in-)variance of shared responsibility: A case study of Australia," Ecological Economics, Elsevier, vol. 64(1), pages 19-24, October.
    9. Lele, Sharachchandra & Srinivasan, Veena, 2013. "Disaggregated economic impact analysis incorporating ecological and social trade-offs and techno-institutional context: A case from the Western Ghats of India," Ecological Economics, Elsevier, vol. 91(C), pages 98-112.
    10. Fred S. Roberts, 2014. "Meaningful and Meaningless Statements in Landscape Ecology and Environmental Sustainability," Springer Optimization and Its Applications, in: Fuad Aleskerov & Boris Goldengorin & Panos M. Pardalos (ed.), Clusters, Orders, and Trees: Methods and Applications, edition 127, pages 297-312, Springer.
    11. Michel Grabisch & Jean-Luc Marichal & Radko Mesiar & Endre Pap, 2009. "Aggregation functions," Post-Print halshs-00445120, HAL.
    12. Gómez-Limón, José A. & Sanchez-Fernandez, Gabriela, 2010. "Empirical evaluation of agricultural sustainability using composite indicators," Ecological Economics, Elsevier, vol. 69(5), pages 1062-1075, March.
    13. Winands, Sarah & Holm-Müller, Karin & Weikard, Hans-Peter, 2013. "The biodiversity conservation game with heterogeneous countries," Ecological Economics, Elsevier, vol. 89(C), pages 14-23.
    14. Tait, Peter & Baskaran, Ramesh & Cullen, Ross & Bicknell, Kathryn, 2012. "Nonmarket valuation of water quality: Addressing spatially heterogeneous preferences using GIS and a random parameter logit model," Ecological Economics, Elsevier, vol. 75(C), pages 15-21.
    15. Su, Bin & Ang, B.W., 2010. "Input-output analysis of CO2 emissions embodied in trade: The effects of spatial aggregation," Ecological Economics, Elsevier, vol. 70(1), pages 10-18, November.
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