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Recycling flows in emergy evaluation: A mathematical paradox?

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  • Amponsah, N.Y.
  • Le Corre, O.
  • Lacarriere, B.

Abstract

This paper is a contribution to the emergy evaluation of systems involving recycling or reuse of waste. If waste exergy (its residual usefulness) is not negligible, wastes could serve as input to another process or be recycled. In cases of continuous waste recycle or reuse, what then is the role of emergy? Emergy is carried by matter and its value is shown to be the product of specific energy with mass flow rate and its transformity. This transformity (τ) given as the ratio of the total emergy input and the useful available energy in the product (exergy) is commonly calculated over a specific period of time (usually yearly) which makes transformity a time dependent factor. Assuming a process in which a part of the non-renewable input is an output (waste) from a previous system, for the waste to be reused, an emergy investment is needed. The transformity of the reused or recycled material should be calculated based on the pathway of the reused material at a certain time (T) which results in a specific transformity value (τ). In case of a second recycle of the same material that had undergone the previous recycle, the material pathway has a new time (T+T1) which results in a transformity value (τ1). Recycling flows as in the case of feedback is a dynamic process and as such the process introduces its own time period depending on its pathway which has to be considered in emergy evaluations. Through the inspiration of previous emergy studies, authors have tried to develop formulae which could be used in such cases of continuous recycling of material in this paper. The developed approach is then applied to a case study to give the reader a better understanding of the concept. As a result, a ‘factor’ is introduced which could be included on emergy evaluation tables to account for subsequent transformity changes in multiple recycling. This factor can be used to solve the difficulties in evaluating aggregated systems, serve as a correction factor to up-level such models keeping the correct evaluation and also solve problems of memory loss in emergy evaluation. The discussion deals with the questions; is it a pure mathematical paradox in the rules of emergy? Is it consistent with previous work? What were the previous solutions to avoid the cumulative problem in a reuse? What are the consequences?

Suggested Citation

  • Amponsah, N.Y. & Le Corre, O. & Lacarriere, B., 2011. "Recycling flows in emergy evaluation: A mathematical paradox?," Ecological Modelling, Elsevier, vol. 222(17), pages 3071-3081.
    • Handle: RePEc:eee:ecomod:v:222:y:2011:i:17:p:3071-3081
    DOI: 10.1016/j.ecolmodel.2011.06.002
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    References listed on IDEAS

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    1. Baral, Anil & Bakshi, Bhavik R., 2010. "Emergy analysis using US economic input–output models with applications to life cycles of gasoline and corn ethanol," Ecological Modelling, Elsevier, vol. 221(15), pages 1807-1818.
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    4. Johnson, Jeremiah & Reck, B.K. & Wang, T. & Graedel, T.E., 2008. "The energy benefit of stainless steel recycling," Energy Policy, Elsevier, vol. 36(1), pages 181-192, January.
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    Cited by:

    1. Agostinho, Feni & Almeida, Cecília M.V.B. & Bonilla, Silvia H. & Sacomano, José B. & Giannetti, Biagio F., 2013. "Urban solid waste plant treatment in Brazil: Is there a net emergy yield on the recovered materials?," Resources, Conservation & Recycling, Elsevier, vol. 73(C), pages 143-155.
    2. Amponsah, N.Y. & Lacarrière, B. & Jamali-Zghal, N. & Le Corre, O., 2012. "Impact of building material recycle or reuse on selected emergy ratios," Resources, Conservation & Recycling, Elsevier, vol. 67(C), pages 9-17.
    3. Zhang, Xiaohong & Wu, Liqian & Zhang, Rong & Deng, Shihuai & Zhang, Yanzong & Wu, Jun & Li, Yuanwei & Lin, Lili & Li, Li & Wang, Yinjun & Wang, Lilin, 2013. "Evaluating the relationships among economic growth, energy consumption, air emissions and air environmental protection investment in China," Renewable and Sustainable Energy Reviews, Elsevier, vol. 18(C), pages 259-270.
    4. Jamali-Zghal, N. & Lacarrière, B. & Le Corre, O., 2015. "Metallurgical recycling processes: Sustainability ratios and environmental performance assessment," Resources, Conservation & Recycling, Elsevier, vol. 97(C), pages 66-75.
    5. Wang, Xiaolong & Li, Zhejin & Long, Pan & Yan, Lingling & Gao, Wangsheng & Chen, Yuanquan & Sui, Peng, 2017. "Sustainability evaluation of recycling in agricultural systems by emergy accounting," Resources, Conservation & Recycling, Elsevier, vol. 117(PB), pages 114-124.
    6. Zhang, XiaoHong & Hu, He & Zhang, Rong & Deng, ShiHuai, 2014. "Interactions between China׳s economy, energy and the air emissions and their policy implications," Renewable and Sustainable Energy Reviews, Elsevier, vol. 38(C), pages 624-638.
    7. Lacarrière, Bruno & Deutz, Kévin Ruben & Jamali-Zghal, Nadia & Le Corre, Olivier, 2015. "Emergy assessment of the benefits of closed-loop recycling accounting for material losses," Ecological Modelling, Elsevier, vol. 315(C), pages 77-87.
    8. Gala, Alba Bala & Raugei, Marco & Ripa, Maddalena & Ulgiati, Sergio, 2015. "Dealing with waste products and flows in life cycle assessment and emergy accounting: Methodological overview and synergies," Ecological Modelling, Elsevier, vol. 315(C), pages 69-76.

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