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Spatial Dynamics of Optimal Management in Bioeconomic Systems

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  • David Aadland
  • Charles Sims
  • David Finnoff

Abstract

We develop a computationally efficient methodology to evaluate optimal management in a spatially and temporally dynamic bioeconomic system. The method involves standard techniques from the macroeconomics literature to calculate approximately optimal linear decision rules. Iterations between the decision rules and the nonlinear biological system produce optimal transition paths over space and time. We then apply the methodology to forest management over a $$6\times 6$$ 6 × 6 spatial grid where a pest insect (mountain pine beetles) preys on trees that provide a wide array of ecosystem services. The method is sufficiently general to be applicable to a wide range of spatially and temporally dynamic economic systems. Copyright Springer Science+Business Media New York 2015

Suggested Citation

  • David Aadland & Charles Sims & David Finnoff, 2015. "Spatial Dynamics of Optimal Management in Bioeconomic Systems," Computational Economics, Springer;Society for Computational Economics, vol. 45(4), pages 545-577, April.
    • Handle: RePEc:kap:compec:v:45:y:2015:i:4:p:545-577
    DOI: 10.1007/s10614-014-9442-y
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    Cited by:

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    2. Cho, Seong-Hoon & Lee, Juhee & Roberts, Roland & Yu, Edward T. & Armsworth, Paul R., 2018. "Impact of market conditions on the effectiveness of payments for forest-based carbon sequestration," Forest Policy and Economics, Elsevier, vol. 92(C), pages 33-42.
    3. Julian E. Lozano & Katarina Elofsson & Yves Surry & George Marbuah, 2023. "Spatio-Temporal Analysis of Game Harvests in Sweden," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 85(2), pages 385-408, June.
    4. İ. Esra Büyüktahtakın & Robert G. Haight, 2018. "A review of operations research models in invasive species management: state of the art, challenges, and future directions," Annals of Operations Research, Springer, vol. 271(2), pages 357-403, December.
    5. Kelly M. Cobourn & Gregory S. Amacher & Robert G. Haight, 2019. "Cooperative Management of Invasive Species: A Dynamic Nash Bargaining Approach," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 72(4), pages 1041-1068, April.
    6. Sims, Charles & Aadland, David & Finnoff, David & Hochard, Jacob, 2020. "What are the benefits of delisting endangered species and who receives them?: Lessons from the gray wolf recovery in Greater Yellowstone," Ecological Economics, Elsevier, vol. 174(C).
    7. Liu, Yanxu & Sims, Charles, 2016. "Spatial-dynamic externalities and coordination in invasive species control," Resource and Energy Economics, Elsevier, vol. 44(C), pages 23-38.
    8. Charles Sims & David Finnoff & Jason F. Shogren, 2018. "Taking One for the Team: Is Collective Action More Responsive to Ecological Change?," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 70(3), pages 589-615, July.
    9. Albers, Heidi J. & Hall, Kim Meyer & Lee, Katherine D. & Taleghan, Majid Alkaee & Dietterich, Thomas G., 2018. "The Role of Restoration and Key Ecological Invasion Mechanisms in Optimal Spatial-Dynamic Management of Invasive Species," Ecological Economics, Elsevier, vol. 151(C), pages 44-54.
    10. Grogan, Kelly A. & Chakravarty, Shourish, 2017. "The Feasibility of Area-wide Pest Management under Heterogeneity and Uncertainty: The Case of Citrus Health Management Areas," 2017 Annual Meeting, July 30-August 1, Chicago, Illinois 259188, Agricultural and Applied Economics Association.
    11. Liu, Ming & Wu, Jiani & Zhang, Shuhua & Liang, Jing, 2023. "Cyanobacterial blooms management: A modified optimization model for interdisciplinary research," Ecological Modelling, Elsevier, vol. 484(C).
    12. Gray, Dennis & Fan, Xiaoli, 2020. "Optimal Control of Mountain Pine Beetle Under Different Climate Scenarios: A Spatiotemporal Bioeconomic Model," 2020 Annual Meeting, July 26-28, Kansas City, Missouri 304436, Agricultural and Applied Economics Association.
    13. Warziniack, Travis & Sims, Charles & Haas, Jessica, 2019. "Fire and the joint production of ecosystem services: A spatial-dynamic optimization approach," Forest Policy and Economics, Elsevier, vol. 107(C), pages 1-1.

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    More about this item

    Keywords

    Dynamic systems; Spatial models; Bioeconomics; Migration; Predator-prey models; C61; D62; Q23; Q57;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • D62 - Microeconomics - - Welfare Economics - - - Externalities
    • Q23 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Renewable Resources and Conservation - - - Forestry
    • Q57 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Environmental Economics - - - Ecological Economics

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