IDEAS home Printed from https://ideas.repec.org/a/eee/dyncon/v29y2005i3p469-485.html
   My bibliography  Save this article

On the elasticities of harvesting rules

Author

Listed:
  • Chang, Fwu-Ranq

Abstract

In this paper, we rank the relative importance of the exogenous parameters upon the optimal harvesting size in a stochastic rotation problem. We show that when the tree growth follows geometric Brownian motion, the harvesting size is most elastic to the harvesting cost, followed by the interest rate, and is least elastic to the parameters of tree growth. Similar ranking holds for the linear growth case. In both cases the harvesting size is increasing and concave in the harvesting cost, bounded between two parallel lines. The harvesting decision is made according to a stochastic extension of the Faustmann formula.
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Chang, Fwu-Ranq, 2005. "On the elasticities of harvesting rules," Journal of Economic Dynamics and Control, Elsevier, vol. 29(3), pages 469-485, March.
  • Handle: RePEc:eee:dyncon:v:29:y:2005:i:3:p:469-485
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0165-1889(04)00045-4
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Clarke, Harry R. & Reed, William J., 1989. "The tree-cutting problem in a stochastic environment : The case of age-dependent growth," Journal of Economic Dynamics and Control, Elsevier, vol. 13(4), pages 569-595, October.
    2. Reed, William J., 1993. "The decision to conserve or harvest old-growth forest," Ecological Economics, Elsevier, vol. 8(1), pages 45-69, August.
    3. Mitra, Tapan & Wan, Henry Jr., 1986. "On the faustmann solution to the forest management problem," Journal of Economic Theory, Elsevier, vol. 40(2), pages 229-249, December.
    4. Miller, Robert A. & Voltaire, Karl, 1983. "A stochastic analysis of the tree paradigm," Journal of Economic Dynamics and Control, Elsevier, vol. 6(1), pages 371-386, September.
    5. Reed, William J & Clarke, Harry R, 1990. "Harvest Decisions and Asset Valuation for Biological Resources Exhibiting Size-Dependent Stochastic Growth," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 31(1), pages 147-169, February.
    6. Miller, Robert A. & Voltaire, Karl, 1980. "A sequential stochastic tree problem," Economics Letters, Elsevier, vol. 5(2), pages 135-140.
    7. William A. Brock & Michael Rothschild & Joseph E. Stiglitz, 1989. "Stochastic Capital Theory," Palgrave Macmillan Books, in: George R. Feiwel (ed.), Joan Robinson and Modern Economic Theory, chapter 20, pages 591-622, Palgrave Macmillan.
    8. Samuelson, Paul A, 1976. "Economics of Forestry in an Evolving Society," Economic Inquiry, Western Economic Association International, vol. 14(4), pages 466-492, December.
    9. George E. Hoffer & Robert J. Reilly, 1983. "Analysis," Challenge, Taylor & Francis Journals, vol. 26(4), pages 56-57, September.
    10. Tahvonen, Olli & Salo, Seppo & Kuuluvainen, Jari, 2001. "Optimal forest rotation and land values under a borrowing constraint," Journal of Economic Dynamics and Control, Elsevier, vol. 25(10), pages 1595-1627, October.
    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. Sora Yoo & Yong-sung Cho & Hojeong Park, 2018. "An Optimal Management Strategy of Carbon Forestry with a Stochastic Price," Sustainability, MDPI, vol. 10(9), pages 1-13, September.
    2. Leon-Santana, Miguel & Hernandez, Juan M., 2008. "Optimum management and environmental protection in the aquaculture industry," Ecological Economics, Elsevier, vol. 64(4), pages 849-857, February.
    3. Tahvonen, Olli & Suominen, Antti & Malo, Pekka & Viitasaari, Lauri & Parkatti, Vesa-Pekka, 2022. "Optimizing high-dimensional stochastic forestry via reinforcement learning," Journal of Economic Dynamics and Control, Elsevier, vol. 145(C).
    4. Gasca-Leyva, Eucario & Hernández, Juan M. & Veliov, Vladimir M., 2008. "Optimal harvesting time in a size-heterogeneous population," Ecological Modelling, Elsevier, vol. 210(1), pages 161-168.
    5. Alvarez, Luis H.R. & Koskela, Erkki, 2006. "Does risk aversion accelerate optimal forest rotation under uncertainty?," Journal of Forest Economics, Elsevier, vol. 12(3), pages 171-184, December.
    6. Shackleton, Mark B. & Sødal, Sigbjørn, 2010. "Harvesting and recovery decisions under uncertainty," Journal of Economic Dynamics and Control, Elsevier, vol. 34(12), pages 2533-2546, December.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Newman, D.H., 2002. "Forestry's golden rule and the development of the optimal forest rotation literature," Journal of Forest Economics, Elsevier, vol. 8(1), pages 5-27.
    2. Tahvonen, Olli & Salo, Seppo & Kuuluvainen, Jari, 2001. "Optimal forest rotation and land values under a borrowing constraint," Journal of Economic Dynamics and Control, Elsevier, vol. 25(10), pages 1595-1627, October.
    3. Tahvonen, Olli & Suominen, Antti & Malo, Pekka & Viitasaari, Lauri & Parkatti, Vesa-Pekka, 2022. "Optimizing high-dimensional stochastic forestry via reinforcement learning," Journal of Economic Dynamics and Control, Elsevier, vol. 145(C).
    4. Ben Abdallah, Skander & Lasserre, Pierre, 2016. "Asset retirement with infinitely repeated alternative replacements: Harvest age and species choice in forestry," Journal of Economic Dynamics and Control, Elsevier, vol. 70(C), pages 144-164.
    5. Willassen, Yngve, 1998. "The stochastic rotation problem: A generalization of Faustmann's formula to stochastic forest growth," Journal of Economic Dynamics and Control, Elsevier, vol. 22(4), pages 573-596, April.
    6. Ali Khan, M. & Piazza, Adriana, 2012. "On the Mitra–Wan forestry model: A unified analysis," Journal of Economic Theory, Elsevier, vol. 147(1), pages 230-260.
    7. Alvarez, Luis H. R. & Koskela, Erkki, 2005. "Wicksellian theory of forest rotation under interest rate variability," Journal of Economic Dynamics and Control, Elsevier, vol. 29(3), pages 529-545, March.
    8. Buongiorno, Joseph & Zhou, Mo, 2011. "Further generalization of Faustmann's formula for stochastic interest rates," Journal of Forest Economics, Elsevier, vol. 17(3), pages 248-257, August.
    9. Tee, James & Scarpa, Riccardo & Marsh, Dan & Guthrie, Graeme, 2012. "Valuation of Carbon Forestry and the New Zealand Emissions Trading Scheme: A Real Options Approach Using the Binomial Tree Method," 2012 Conference, August 18-24, 2012, Foz do Iguacu, Brazil 131066, International Association of Agricultural Economists.
    10. Hans Gottinger, 1991. "Stochastic models for capital growth," Journal of Economics, Springer, vol. 54(3), pages 267-281, October.
    11. Gjolberg, Ole & Guttormsen, Atle G., 2002. "Real options in the forest: what if prices are mean-reverting?," Forest Policy and Economics, Elsevier, vol. 4(1), pages 13-20, May.
    12. Fabbri, Giorgio & Faggian, Silvia & Freni, Giuseppe, 2015. "On the Mitra–Wan forest management problem in continuous time," Journal of Economic Theory, Elsevier, vol. 157(C), pages 1001-1040.
    13. Salo, Seppo & Tahvonen, Olli, 2003. "On the economics of forest vintages," Journal of Economic Dynamics and Control, Elsevier, vol. 27(8), pages 1411-1435, June.
    14. Nguyen, Trung Thanh & Nghiem, Nhung, 2016. "Optimal forest rotation for carbon sequestration and biodiversity conservation by farm income levels," Forest Policy and Economics, Elsevier, vol. 73(C), pages 185-194.
    15. Insley, Margaret, 2002. "A Real Options Approach to the Valuation of a Forestry Investment," Journal of Environmental Economics and Management, Elsevier, vol. 44(3), pages 471-492, November.
    16. Tahvonen, Olli & Rautiainen, Aapo, 2017. "Economics of forest carbon storage and the additionality principle," Resource and Energy Economics, Elsevier, vol. 50(C), pages 124-134.
    17. Marutani, Teruhiko, 2010. "The effect of site quality on economically optimal stand management," Journal of Forest Economics, Elsevier, vol. 16(1), pages 35-46, January.
    18. Ken-Ichi Akao, 2011. "Optimum forest program when the carbon sequestration service of a forest has value," Environmental Economics and Policy Studies, Springer;Society for Environmental Economics and Policy Studies - SEEPS, vol. 13(4), pages 323-343, December.
    19. Alvarez, Luis H R & Koskela, Erkki, 2003. "On Forest Rotation under Interest Rate Variability," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 10(4), pages 489-503, August.
    20. Hildebrandt, Patrick & Knoke, Thomas, 2011. "Investment decisions under uncertainty--A methodological review on forest science studies," Forest Policy and Economics, Elsevier, vol. 13(1), pages 1-15, January.

    More about this item

    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:eee:dyncon:v:29:y:2005:i:3:p:469-485. See general information about how to correct material in RePEc.

    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.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/jedc .

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

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.