IDEAS home Printed from https://ideas.repec.org/p/lue/wpaper/193.html
   My bibliography  Save this paper

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

Author

Listed:
  • 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.

Suggested Citation

  • Martin F. Quaas & Stefan Baumgärtner, 2011. "Optimal grazing management rules in semi-arid rangelands with uncertain rainfall," Working Paper Series in Economics 193, University of Lüneburg, Institute of Economics.
  • Handle: RePEc:lue:wpaper:193
    as

    Download full text from publisher

    File URL: https://www.leuphana.de/fileadmin/user_upload/Forschungseinrichtungen/ifvwl/WorkingPapers/lue/pdf/wp_193_Upload.pdf
    Download Restriction: no

    References listed on IDEAS

    as
    1. Dan Anderberg & Yu Zhu, 2010. "The Effect of Education on Marital Status and Partner Characteristics: Evidence from the UK," CESifo Working Paper Series 3104, CESifo Group Munich.
    2. Kasey S. Buckles & Daniel M. Hungerman, 2013. "Season of Birth and Later Outcomes: Old Questions, New Answers," The Review of Economics and Statistics, MIT Press, vol. 95(3), pages 711-724, July.
    3. Dana P. Goldman & James P. Smith, 2004. "Can Patient Self-Management Help Explain the SES Health Gradient?," HEW 0403004, EconWPA.
    4. Nils Braakmann, 2010. "A note on the causal link between education and health – Evidence from the German short school years," Working Paper Series in Economics 176, University of Lüneburg, Institute of Economics.
    5. Kenkel, Donald S, 1991. "Health Behavior, Health Knowledge, and Schooling," Journal of Political Economy, University of Chicago Press, vol. 99(2), pages 287-305, April.
    6. Grossman, Michael, 2006. "Education and Nonmarket Outcomes," Handbook of the Economics of Education, Elsevier.
    7. Angrist, Joshua D, 2001. "Estimations of Limited Dependent Variable Models with Dummy Endogenous Regressors: Simple Strategies for Empirical Practice," Journal of Business & Economic Statistics, American Statistical Association, vol. 19(1), pages 2-16, January.
    8. Donald Kenkel & Dean Lillard & Alan Mathios, 2006. "The Roles of High School Completion and GED Receipt in Smoking and Obesity," Journal of Labor Economics, University of Chicago Press, vol. 24(3), pages 635-660, July.
    9. Grossman, Michael, 1972. "On the Concept of Health Capital and the Demand for Health," Journal of Political Economy, University of Chicago Press, vol. 80(2), pages 223-255, March-Apr.
    10. Peter Adams & Michael D. Hurd & Daniel L. McFadden & Angela Merrill & Tiago Ribeiro, 2004. "Healthy, Wealthy, and Wise? Tests for Direct Causal Paths between Health and Socioeconomic Status," NBER Chapters,in: Perspectives on the Economics of Aging, pages 415-526 National Bureau of Economic Research, Inc.
    11. Albouy, Valerie & Lequien, Laurent, 2009. "Does compulsory education lower mortality?," Journal of Health Economics, Elsevier, vol. 28(1), pages 155-168, January.
    12. Mark C. Berger & J. Paul Leigh, 1989. "Schooling, Self-Selection, and Health," Journal of Human Resources, University of Wisconsin Press, vol. 24(3), pages 433-455.
    13. M. Christopher Auld & Nirmal Sidhu, 2005. "Schooling, cognitive ability and health," Health Economics, John Wiley & Sons, Ltd., vol. 14(10), pages 1019-1034.
    14. Scott Adams, 2002. "Educational Attainment and Health: Evidence from a Sample of Older Adults," Education Economics, Taylor & Francis Journals, vol. 10(1), pages 97-109.
    15. Philip Oreopoulos, 2006. "Estimating Average and Local Average Treatment Effects of Education when Compulsory Schooling Laws Really Matter," American Economic Review, American Economic Association, vol. 96(1), pages 152-175, March.
    16. Sherry Glied & Adriana Lleras-Muney, 2003. "Health Inequality, Education and Medical Innovation," NBER Working Papers 9738, National Bureau of Economic Research, Inc.
    17. Michael, Robert T, 1973. "Education in Nonmarket Production," Journal of Political Economy, University of Chicago Press, vol. 81(2), pages 306-327, Part I, M.
    18. Cutler, David M. & Lleras-Muney, Adriana, 2010. "Understanding differences in health behaviors by education," Journal of Health Economics, Elsevier, vol. 29(1), pages 1-28, January.
    19. Joshua D. Angrist & Alan B. Keueger, 1991. "Does Compulsory School Attendance Affect Schooling and Earnings?," The Quarterly Journal of Economics, Oxford University Press, vol. 106(4), pages 979-1014.
    20. Doyle, Orla & Harmon, Colm P. & Walker, Ian, 2005. "The Impact of Parental Income and Education on the Health of their Children," IZA Discussion Papers 1832, Institute for the Study of Labor (IZA).
    21. Claire Crawford & Lorraine Dearden & Costas Meghir, 2007. "When You Are Born Matters: The Imapct of Date of Birth on Child Cognitive Outcomes in England," CEE Discussion Papers 0093, Centre for the Economics of Education, LSE.
    22. Cutler, David M. & Lleras-Muney, Adriana, 2010. "Understanding Differences in Health Behaviors by Education," Scholarly Articles 5344195, Harvard University Department of Economics.
    23. Damon Clark & Heather Royer, 2010. "The Effect of Education on Adult Health and Mortality: Evidence from Britain," NBER Working Papers 16013, National Bureau of Economic Research, Inc.
    24. Groot, Wim & Maassen van den Brink, Henriette, 2007. "The health effects of education," Economics of Education Review, Elsevier, vol. 26(2), pages 186-200, April.
    25. de Walque, Damien, 2007. "Does education affect smoking behaviors?: Evidence using the Vietnam draft as an instrument for college education," Journal of Health Economics, Elsevier, vol. 26(5), pages 877-895, September.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Müller, Birgit & Quaas, Martin F. & Frank, Karin & Baumgärtner, Stefan, 2011. "Pitfalls and potential of institutional change: Rain-index insurance and the sustainability of rangeland management," Ecological Economics, Elsevier, vol. 70(11), pages 2137-2144, September.
    2. repec:nbr:nberch:13950 is not listed on IDEAS
    3. Roland Olbrich & Martin F. Quaas & Stefan Baumgärtner, 2014. "Personal Norms of Sustainability and Farm Management Behavior," Sustainability, MDPI, Open Access Journal, vol. 6(8), pages 1-28, August.
    4. 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.

    More about this item

    Keywords

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

    JEL classification:

    • Q57 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Environmental Economics - - - Ecological Economics
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • Q12 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Agriculture - - - Micro Analysis of Farm Firms, Farm Households, and Farm Input Markets

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:lue:wpaper:193. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Joachim Wagner). General contact details of provider: https://leuphana.de/institute/ivwl.html .

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.