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Location choice for renewable resource extraction with multiple non-cooperative extractors: a spatial Nash equilibrium model and numerical implementation

Author

Listed:
  • Erik O. Sterner

    (Chalmers University of Technology)

  • Elizabeth J. Z. Robinson

    (University of Reading)

  • H. J. Albers

    (University of Wyoming)

Abstract

Especially in lower-income countries, the distribution of renewable resources in open access settings often reflects the non-cooperative spatial extraction decisions of many individuals who spread out across a landscape. These individuals recognize tradeoffs between distance to the resource, density, and competition amongst extractors. In this paper we present a game theoretic model that explicitly accommodates such explicitly spatial non-cooperative behavior with respect to the extraction of a stationary renewable natural resource, such as a non-timber forest products or bivalvia (for example, oysters, clams), that is located in a two dimensional landscape. Villagers that have identical labor allocations and preferences are shown to undertake very different extraction pathways in equilibrium. For example, some may extract in more congested patches closer to the village while others may extract in less crowded but more distant patches. For many parameterizations, we find multiple spatial Nash equilibria that differ with respect to the number of villagers at each resource location, whether individual villagers extract from one or multiple locations, and the extent and spatial pattern of resource degradation. In addition to finding equilibria with widely different actions taken by identical extractors, the analysis here demonstrates the impact of simplifying assumptions for spatial decisions on predictions of policy impact, resource distributions, and conflict.

Suggested Citation

  • Erik O. Sterner & Elizabeth J. Z. Robinson & H. J. Albers, 2018. "Location choice for renewable resource extraction with multiple non-cooperative extractors: a spatial Nash equilibrium model and numerical implementation," Letters in Spatial and Resource Sciences, Springer, vol. 11(3), pages 315-331, October.
    • Handle: RePEc:spr:lsprsc:v:11:y:2018:i:3:d:10.1007_s12076-018-0215-4
    DOI: 10.1007/s12076-018-0215-4
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    References listed on IDEAS

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    1. Timmins, Christopher & Murdock, Jennifer, 2007. "A revealed preference approach to the measurement of congestion in travel cost models," Journal of Environmental Economics and Management, Elsevier, vol. 53(2), pages 230-249, March.
    2. Junjie Zhang & Martin D. Smith, 2011. "Estimation of a Generalized Fishery Model: A Two-Stage Approach," The Review of Economics and Statistics, MIT Press, vol. 93(2), pages 690-699, May.
    3. Nostbakken, Linda, 2006. "Regime switching in a fishery with stochastic stock and price," Journal of Environmental Economics and Management, Elsevier, vol. 51(2), pages 231-241, March.
    4. Lã“Pez-Feldman, Alejandro & Wilen, James E., 2008. "Poverty and spatial dimensions of non-timber forest extraction," Environment and Development Economics, Cambridge University Press, vol. 13(5), pages 621-642, October.
    5. Albers, Heidi J. & Robinson, Elizabeth J.Z., 2011. "The Trees and the Bees: Using Enforcement and Income Projects to Protect Forests and Rural Livelihoods Through Spatial Joint Production," Agricultural and Resource Economics Review, Northeastern Agricultural and Resource Economics Association, vol. 40(3), pages 1-15, December.
    6. Joïlle Noailly & Jeroen C.J.M. van den Bergh & Cees A. Withagen, 2003. "Evolution of harvesting strategies: replicator and resource dynamics," Journal of Evolutionary Economics, Springer, vol. 13(2), pages 183-200, April.
    7. An, Li, 2012. "Modeling human decisions in coupled human and natural systems: Review of agent-based models," Ecological Modelling, Elsevier, vol. 229(C), pages 25-36.
    8. Albers, H.J., 2010. "Spatial modeling of extraction and enforcement in developing country protected areas," Resource and Energy Economics, Elsevier, vol. 32(2), pages 165-179, April.
    9. Maroto, Jose M. & Moran, Manuel & Sandal, Leif K. & Steinshamn, Stein I., 2009. "Continuous harvesting costs in sole-owner fisheries with increasing marginal returns," Discussion Papers 2009/6, Norwegian School of Economics, Department of Business and Management Science.
    10. Elizabeth J. Z. Robinson & Jeffrey C. Williams & Heidi J. Albers, 2002. "The Influence of Markets and Policy on Spatial Patterns of Non-Timber Forest Product Extraction," Land Economics, University of Wisconsin Press, vol. 78(2), pages 260-271.
    11. Behringer, Stefan & Upmann, Thorsten, 2014. "Optimal harvesting of a spatial renewable resource," Journal of Economic Dynamics and Control, Elsevier, vol. 42(C), pages 105-120.
    12. Robinson, Elizabeth J.Z. & Albers, Heidi J. & Williams, Jeffrey C., 2008. "Spatial and temporal modeling of community non-timber forest extraction," Journal of Environmental Economics and Management, Elsevier, vol. 56(3), pages 234-245, November.
    13. J. Doyne Farmer & Duncan Foley, 2009. "The economy needs agent-based modelling," Nature, Nature, vol. 460(7256), pages 685-686, August.
    14. Albers, Heidi J. & Robinson, Elizabeth J.Z., 2007. "Spatial-temporal aspects of cost-benefit analysis for park management: An example from Khao Yai National Park, Thailand," Journal of Forest Economics, Elsevier, vol. 13(2-3), pages 129-150, August.
    15. Bayer, Patrick & Timmins, Christopher, 2005. "On the equilibrium properties of locational sorting models," Journal of Urban Economics, Elsevier, vol. 57(3), pages 462-477, May.
    16. Anonymous, 2009. "Abstract of the discussion," British Actuarial Journal, Cambridge University Press, vol. 15(1), pages 202-217, March.
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    More about this item

    Keywords

    Natural resource extraction; Spatial equilibrium; Optimal pathways; Resource patterns; Spatial game; Non-timber forest products;
    All these keywords.

    JEL classification:

    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • O13 - Economic Development, Innovation, Technological Change, and Growth - - Economic Development - - - Agriculture; Natural Resources; Environment; Other Primary Products
    • Q56 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Environmental Economics - - - Environment and Development; Environment and Trade; Sustainability; Environmental Accounts and Accounting; Environmental Equity; Population Growth
    • Q57 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Environmental Economics - - - Ecological Economics
    • Q22 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Renewable Resources and Conservation - - - Fishery
    • Q23 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Renewable Resources and Conservation - - - Forestry

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