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Deforestation and optimal management

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  • Piazza, Adriana
  • Roy, Santanu

Abstract

In a general discrete time model of optimal forest management where land may be diverted to alternative use and stocks of standing trees may yield flow benefits, we investigate the economic and ecological conditions under which optimal paths lead to (total) deforestation i.e., complete long term removal of forest cover. We show that if deforestation occurs from some initial state, then it must occur in finite time along every optimal path so that zero forest cover is the globally stable optimal steady state. We develop a condition that is both necessary and sufficient for deforestation. Deforestation is less likely if the immediate profitability of timber harvest, the benefits from stocks of standing forests and the timber content of trees are higher. We characterize the minimum forest cover along optimal paths (when deforestation is not optimal). We design a simple linear subsidy on standing forest biomass that can motivate a private owner (who does not take into account the external benefits from standing trees) to conserve forests.

Suggested Citation

  • Piazza, Adriana & Roy, Santanu, 2015. "Deforestation and optimal management," Journal of Economic Dynamics and Control, Elsevier, vol. 53(C), pages 15-27.
    • Handle: RePEc:eee:dyncon:v:53:y:2015:i:c:p:15-27
    DOI: 10.1016/j.jedc.2015.01.004
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    1. Gregory S. Amacher & Markku Ollikainen & Erkki A. Koskela, 2009. "Economics of Forest Resources," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262012480, December.
    2. Tapan Mitra & Henry Y. Wan, 1985. "Some Theoretical Results on the Economics of Forestry," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 52(2), pages 263-282.
    3. Claude Henry, 1974. "Option Values in the Economics of Irreplaceable Assets," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 41(5), pages 89-104.
    4. Salo, Seppo & Tahvonen, Olli, 2002. "On Equilibrium Cycles and Normal Forests in Optimal Harvesting of Tree Vintages," Journal of Environmental Economics and Management, Elsevier, vol. 44(1), pages 1-22, July.
    5. Clark, Colin W, 1973. "Profit Maximization and the Extinction of Animal Species," Journal of Political Economy, University of Chicago Press, vol. 81(4), pages 950-961, July-Aug..
    6. 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.
    7. Kenneth J. Arrow & Anthony C. Fisher, 1974. "Environmental Preservation, Uncertainty, and Irreversibility," Palgrave Macmillan Books, in: Chennat Gopalakrishnan (ed.), Classic Papers in Natural Resource Economics, chapter 4, pages 76-84, Palgrave Macmillan.
    8. Olson, Lars J. & Roy, Santanu, 1996. "On Conservation of Renewable Resources with Stock-Dependent Return and Nonconcave Production," Journal of Economic Theory, Elsevier, vol. 70(1), pages 133-157, July.
    9. Olli Tahvonen, 2004. "Optimal Harvesting Of Forest Age Classes: A Survey Of Some Recent Results," Mathematical Population Studies, Taylor & Francis Journals, vol. 11(3-4), pages 205-232.
    10. Dasgupta, Swapan & Mitra, Tapan, 2010. "On Optimal Forest Management: A Bifurcation Analysis," Working Papers 10-04, Cornell University, Center for Analytic Economics.
    11. Lyon, Kenneth S., 1981. "Mining of the forest and the time path of the price of timber," Journal of Environmental Economics and Management, Elsevier, vol. 8(4), pages 330-344, December.
    12. Peter Berck, 1979. "The Economics of Timber: A Renewable Resource in the Long Run," Bell Journal of Economics, The RAND Corporation, vol. 10(2), pages 447-462, Autumn.
    13. Angelsen, Arild & Kaimowitz, David, 1999. "Rethinking the Causes of Deforestation: Lessons from Economic Models," The World Bank Research Observer, World Bank, vol. 14(1), pages 73-98, February.
    14. Bowes, Michael D. & Krutilla, John V., 1985. "Multiple use management of public forestlands," Handbook of Natural Resource and Energy Economics, in: A. V. Kneese† & J. L. Sweeney (ed.), Handbook of Natural Resource and Energy Economics, edition 1, volume 2, chapter 12, pages 531-569, Elsevier.
    15. 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.
    16. Wan, Henry, Jr, 1994. "Revisiting the Mitra-Wan Tree Farm," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 35(1), pages 193-198, February.
    17. Seppo Salo & Olli Tahvonen, 2004. "Renewable Resources with Endogenous Age Classes and Allocation of Land," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 86(2), pages 513-530.
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    Cited by:

    1. 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.
    2. Chenavaz, Régis Y. & Leocata, Marta & Ogonowska, Malgorzata & Torre, Dominique, 2022. "Sustainable tourism," Journal of Economic Dynamics and Control, Elsevier, vol. 143(C).
    3. Adriana Piazza & Santanu Roy, 2020. "Irreversibility and the economics of forest conservation," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 69(3), pages 667-711, April.
    4. Silvia Faggian & Giuseppe Freni, 2015. "A Ricardian Model of Forestry," Working Papers 2015:12, Department of Economics, University of Venice "Ca' Foscari", revised 2015.
    5. Laukkanen, Matti & Tahvonen, Olli, 2023. "Wood product differentiation in age-structured forestry," Resource and Energy Economics, Elsevier, vol. 73(C).
    6. Daniel Bouchardet & Alexandre Porsse, 2015. "An Exploratory Spatial Data Analysis for Deforestation in Brazilian Amazon," ERSA conference papers ersa15p845, European Regional Science Association.
    7. Kuusela, Olli-Pekka & Lintunen, Jussi, 2020. "Modeling market-level effects of disturbance risks in age structured forests," Forest Policy and Economics, Elsevier, vol. 118(C).
    8. Khan, M. Ali, 2016. "On a forest as a commodity and on commodification in the discipline of forestry," Forest Policy and Economics, Elsevier, vol. 72(C), pages 7-17.

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    More about this item

    Keywords

    Deforestation; Optimal forest management; Conservation; Renewable resources; Extinction;
    All these keywords.

    JEL classification:

    • Q23 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Renewable Resources and Conservation - - - Forestry
    • H23 - Public Economics - - Taxation, Subsidies, and Revenue - - - Externalities; Redistributive Effects; Environmental Taxes and Subsidies
    • Q58 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Environmental Economics - - - Environmental Economics: Government Policy
    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium

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