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When can the environmental profile and emissions reduction be optimised independently of the pollutant level?

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  • Nils Chr. Framstad

Abstract

Consider a model for optimal timing of a policy measure which changes the emission rate, e.g. trading off the cost of reduction against the time-additive aggregate of environmental damage, the disutility from the pollutant stock the infrastructure contributes to. Intuitively, the optimal timing for an infinitesimal pollution source should reasonably not depend on its historical contribution to the stock, as this is negligible. Dropping the size assumption, we show how to reduce the minimisation problem to one not depending on the history of , under linear evolution and suitable linearity or additivity conditions on the damage functional. We employ a functional analysis framework which allows for delay equations, non-Markovian driving noise, a choice between discrete and continuous time, and a menu of integral concepts covering stochastic calculi less frequently used in resource and environmental economics. Examples are given under the common (Markovian Itô) stochastic analysis framework.

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  • Nils Chr. Framstad, 2014. "When can the environmental profile and emissions reduction be optimised independently of the pollutant level?," Journal of Environmental Economics and Policy, Taylor & Francis Journals, vol. 3(1), pages 25-45, March.
  • Handle: RePEc:taf:teepxx:v:3:y:2014:i:1:p:25-45
    DOI: 10.1080/21606544.2013.856353
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    1. Robert J. Elliott & John Van Der Hoek, 2003. "A General Fractional White Noise Theory And Applications To Finance," Mathematical Finance, Wiley Blackwell, vol. 13(2), pages 301-330, April.
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    6. Framstad, Nils Chr. & Strand, Jon, 2015. "Energy intensive infrastructure investments with retrofits in continuous time: Effects of uncertainty on energy use and carbon emissions," Resource and Energy Economics, Elsevier, vol. 41(C), pages 1-18.
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    1. Framstad, Nils Chr. & Strand, Jon, 2015. "Energy intensive infrastructure investments with retrofits in continuous time: Effects of uncertainty on energy use and carbon emissions," Resource and Energy Economics, Elsevier, vol. 41(C), pages 1-18.

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    More about this item

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • Q52 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Environmental Economics - - - Pollution Control Adoption and Costs; Distributional Effects; Employment Effects

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