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A dynamic input-output model with renewable resources

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  • Imre Dobos
  • Peter Tallos

Abstract

The paper studies a generalisation of the dynamic Leontief input-output model. The standard dynamic Leontief model will be extended with the balance equation of renewable resources. The renewable stocks will increase regenerating and decrease exploiting primary natural resources. In this study the controllability of this extended model is examined by taking the consumption as the control parameter. Assuming balanced growth for both consumption and production, we investigate the exhaustion of renewable resources in dependence on the balanced growth rate and on the rate of natural regeneration. In doing so, classic results from control theory and on eigenvalue problems in linear algebra are applied. Copyright Springer-Verlag 2013

Suggested Citation

  • Imre Dobos & Peter Tallos, 2013. "A dynamic input-output model with renewable resources," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 21(2), pages 295-305, March.
    • Handle: RePEc:spr:cejnor:v:21:y:2013:i:2:p:295-305
    DOI: 10.1007/s10100-011-0235-2
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    References listed on IDEAS

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    1. Ayong Le Kama, Alain D., 2001. "Sustainable growth, renewable resources and pollution," Journal of Economic Dynamics and Control, Elsevier, vol. 25(12), pages 1911-1918, December.
    2. Eliasson, Ludvik & Turnovsky, Stephen J., 2004. "Renewable resources in an endogenously growing economy: balanced growth and transitional dynamics," Journal of Environmental Economics and Management, Elsevier, vol. 48(3), pages 1018-1049, November.
    3. Simone Valente, 2005. "Sustainable Development, Renewable Resources and Technological Progress," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 30(1), pages 115-125, January.
    4. Dobos, Imre & Floriska, Adel, 2007. "The resource conservation effect of recycling in a dynamic Leontief model," International Journal of Production Economics, Elsevier, vol. 108(1-2), pages 334-340, July.
    5. Danijel Kovačić & Ludvik Bogataj, 2011. "Multistage reverse logistics of assembly systems in extended MRP Theory consisting of all material flows," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 19(3), pages 337-357, September.
    6. Li, Chuan-Zhong & Lofgren, Karl-Gustaf, 2000. "Renewable Resources and Economic Sustainability: A Dynamic Analysis with Heterogeneous Time Preferences," Journal of Environmental Economics and Management, Elsevier, vol. 40(3), pages 236-250, November.
    7. Imre Dobos & Adel Floriska, 2005. "A Dynamic Leontief Model with Non-renewable Resources," Economic Systems Research, Taylor & Francis Journals, vol. 17(3), pages 317-326.
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    Cited by:

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    4. Henryk Gurgul & Łukasz Lach, 2019. "On approximating the accelerator part in dynamic input–output models," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 27(1), pages 219-239, March.
    5. Ruoyu Chen & Chukiat Chaiboonsri & Satawat Wannapan, 2021. "The Perspective of Thailand Economy After the Effect of Coronavirus-19 Pandemics: Explication by Dynamic I-O Models and Agent-Based Simulations," SAGE Open, , vol. 11(2), pages 21582440211, June.
    6. Florian Dierickx & Arnaud Diemer, 2020. "Challenging a Methodology to Analyse the Cycling of Materials and Induced Energy use Over Time," International Journal of Environmental Sciences & Natural Resources, Juniper Publishers Inc., vol. 26(4), pages 106-124, November.
    7. Xi Zhang & Zheng Li & Linwei Ma & Chinhao Chong & Weidou Ni, 2019. "Analyzing Carbon Emissions Embodied in Construction Services: A Dynamic Hybrid Input–Output Model with Structural Decomposition Analysis," Energies, MDPI, vol. 12(8), pages 1-23, April.

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