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A dynamic input-output model with renewable resources

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  • Imre Dobos

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  • 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. 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.
    5. 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.
    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. 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.
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    Citations

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    Cited by:

    1. 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.
    2. George Halkos & Kyriaki Tsilika, 2016. "Dynamic Input–Output Models in Environmental Problems: A Computational Approach with CAS Software," Computational Economics, Springer;Society for Computational Economics, vol. 47(3), pages 489-497, March.
    3. Jitka Janová & David Hampel, 2016. "Optimal managing of forest structure using data simulated optimal control," 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. 24(2), pages 297-307, June.
    4. 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, Open Access Journal, vol. 12(8), pages 1-23, April.
    5. Xi Zhang & Zheng Li & Linwei Ma & Chinhao Chong & Weidou Ni, 2019. "Forecasting the Energy Embodied in Construction Services Based on a Combination of Static and Dynamic Hybrid Input-Output Models," Energies, MDPI, Open Access Journal, vol. 12(2), pages 1-26, January.

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