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Optimal grazing management rules in semi-arid rangelands with uncertain rainfall

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Author Info

  • Martin F. Quaas

    ()
    (Department of Economics, University of Kiel, Germany)

  • Stefan Baumgärtner

    ()
    (Department of Sustainability Sciences and Department of Economics, Leuphana University of Lüneburg, Germany)

Abstract

We study optimal adaptive grazing management under uncertain rainfall in a discrete-time model. As in each year actual rainfall can be observed during the short rainy season, and grazing management can be adapted accordingly for the growing season, the closed-loop solution of the stochastic optimal control problem does not only depend on the state variable, but also on the realization of the random rainfall. This distinguishes optimal grazing management from the optimal use of most other natural resources under uncertainty, where the closed-loop solution of the stochastic optimal control problem depends only on the state variables. Solving this unusual stochastic optimization problem allows us to critically contribute to a long-standing controversy over how to optimally manage semi-arid rangelands by simple rules of thumb.

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Bibliographic Info

Paper provided by University of Lüneburg, Institute of Economics in its series Working Paper Series in Economics with number 193.

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Length: 32 pages
Date of creation: Jan 2011
Date of revision:
Handle: RePEc:lue:wpaper:193

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Web page: http://leuphana.de/institute/ivwl.html

Related research

Keywords: environmental risk; risk management; stochastic optimal control; grazing management; rules of thumb;

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Cited by:
  1. Roland Olbrich & Martin F. Quaas & Stefan Baumgaertner, 2011. "Personal norms of sustainability and their impact on management – The case of rangeland management in semi-arid regions," Working Paper Series in Economics 209, University of Lüneburg, Institute of Economics.
  2. Birgit Müller & Martin Quaas & Karin Frank & Stefan Baumgärtner, 2009. "Pitfalls and potential of institutional change: Rain-index insurance and the sustainability of rangeland management," Working Paper Series in Economics 149, University of Lüneburg, Institute of Economics.

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