A dynamic input-output model with renewable resources

Imre Dobos () and Peter Tallos

Central European Journal of Operations Research, 2013, vol. 21, issue 2, 295-305

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

Keywords: Dynamical systems; Eigenvalue problem; Control theory; Environmental management (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (8)

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DOI: 10.1007/s10100-011-0235-2

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