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Optimal Growth with Polluting Waste and Recycling

Author

Listed:
  • Raouf Boucekkine

    (GREQAM - Groupement de Recherche en Économie Quantitative d'Aix-Marseille - EHESS - École des hautes études en sciences sociales - AMU - Aix Marseille Université - ECM - École Centrale de Marseille - CNRS - Centre National de la Recherche Scientifique)

  • Fouad El Ouardighi

Abstract

We study an optimal AK-like model of capital accumulation and growth in the presence of a negative environmental externality in the tradition of Stokey (Int Econ Rev 39(1):1–31, 1998). Both production and consumption activities generate polluting waste. The economy exerts a recycling effort to reduce the stock of waste. Recycling also generates income, which is fully devoted to capital accumulation. The whole problem amounts to choosing the optimal control paths for consumption and recycling to maximize a social welfare function that notably includes the waste stock and disutility from the recycling effort. We provide a mathematical analysis of both the asymptotic behavior of the optimal trajectories and the shape of transition dynamics. Numerical exercises are performed to illustrate the analysis and to highlight some of the economic implications of the model. The results suggest that when recycling acts as an income generator, (1) a contraction of both the consumption and capital stock is observed in the long run after an expansion phase; (2) whether polluting waste is predominantly due to production or consumption, greater consumption and lower capital stock are obtained in the long run compared with the situation when recycling does not create additional income; (3) greater recycling effort and lower stock of waste are resulted in the long run.

Suggested Citation

  • Raouf Boucekkine & Fouad El Ouardighi, 2016. "Optimal Growth with Polluting Waste and Recycling," Post-Print hal-01447868, HAL.
    • Handle: RePEc:hal:journl:hal-01447868
    DOI: 10.1007/978-3-319-39120-5_7
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    Cited by:

    1. Pommeret, Aude & Ricci, Francesco & Schubert, Katheline, 2022. "Critical raw materials for the energy transition," European Economic Review, Elsevier, vol. 141(C).
    2. Fabre, Adrien & Fodha, Mouez & Ricci, Francesco, 2020. "Mineral resources for renewable energy: Optimal timing of energy production," Resource and Energy Economics, Elsevier, vol. 59(C).
    3. El Ouardighi, Fouad & Kogan, Konstantin & Boucekkine, Raouf, 2017. "Optimal Recycling Under Heterogeneous Waste Sources and the Environmental Kuznets Curve," ESSEC Working Papers WP1711, ESSEC Research Center, ESSEC Business School.
    4. Lafforgue, Gilles & Rouge, Luc, 2019. "A dynamic model of recycling with endogenous technological breakthrough," Resource and Energy Economics, Elsevier, vol. 57(C), pages 101-118.
    5. Liange Zhao & Jianfeng Zou & Zhijian Zhang, 2020. "Does China’s Municipal Solid Waste Source Separation Program Work? Evidence from the Spatial-Two-Stage-Least Squares Models," Sustainability, MDPI, vol. 12(4), pages 1-20, February.

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    Keywords

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    JEL classification:

    • Q57 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Environmental Economics - - - Ecological Economics
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis

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