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Time Scale Externalities and the Management of Renewable Resources

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  • Giannis Vardas
  • Anastasios Xepapadeas

    (Athens University of Economics and Business)

Abstract

The evolution of renewable resources is characterized in many cases by different time scales where some state variables such as biomass, may evolve relatively faster than other state variables such as carrying capacity. Ignoring this time scale separation means that a slowly changing variable is treated as constant over time. Management rules designed without accounting for time scale separation will result in inefficiencies in resource management. We call this inefficiency time scale externality and we analyze renewable resource harvesting when carrying capacity evolves slowly, either in response to exogenous forcing or in response to emissions generated by the industrial sector of the economy. We study cooperative and non-cooperative solutions under time scale separation. Using singular perturbation reduction methods (Fenichel 1979), we examine the role of different time scales in environmental management and the potential errors in optimal regulation when time scale separation is ignored.

Suggested Citation

  • Giannis Vardas & Anastasios Xepapadeas, 2015. "Time Scale Externalities and the Management of Renewable Resources," Working Papers 2015.27, Fondazione Eni Enrico Mattei.
    • Handle: RePEc:fem:femwpa:2015.27
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    References listed on IDEAS

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    1. Levin, Simon & Xepapadeas, Tasos & Crépin, Anne-Sophie & Norberg, Jon & de Zeeuw, Aart & Folke, Carl & Hughes, Terry & Arrow, Kenneth & Barrett, Scott & Daily, Gretchen & Ehrlich, Paul & Kautsky, Nils, 2013. "Social-ecological systems as complex adaptive systems: modeling and policy implications," Environment and Development Economics, Cambridge University Press, vol. 18(2), pages 111-132, April.
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    6. Grimsrud, Kristine M. & Huffaker, Ray, 2006. "Solving multidimensional bioeconomic problems with singular-perturbation reduction methods: Application to managing pest resistance to pesticidal crops," Journal of Environmental Economics and Management, Elsevier, vol. 51(3), pages 336-353, May.
    7. Huffaker, Ray & Hotchkiss, Rollin, 2006. "Economic dynamics of reservoir sedimentation management: Optimal control with singularly perturbed equations of motion," Journal of Economic Dynamics and Control, Elsevier, vol. 30(12), pages 2553-2575, December.
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    Cited by:

    1. Petrohilos-Andrianos, Yannis & Xepapadeas, Anastasios, 2017. "Resource harvesting regulation and enforcement: An evolutionary approach," Research in Economics, Elsevier, vol. 71(2), pages 236-253.
    2. María Pilar Martínez-García & José Rodolfo Morales, 2019. "Resource effect in the Core–Periphery model," Spatial Economic Analysis, Taylor & Francis Journals, vol. 14(3), pages 339-360, July.
    3. Giannis Vardas & Anastasios Xepapadeas, 2015. "Managing Interacting Populations under Time Scale Separation," DEOS Working Papers 1510, Athens University of Economics and Business.

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    More about this item

    Keywords

    Optimal Resource Harvesting; Fast Slow Dynamics; Singular Perturbation; Regulation; Open Loop; Closed Loop;
    All these keywords.

    JEL classification:

    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • Q20 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Renewable Resources and Conservation - - - General

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