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Sustainable Network Dynamics

Author

Listed:
  • Arnaud A. Dragicevic

    (LEF - Laboratoire d'Economie Forestière - INRA - Institut National de la Recherche Agronomique - AgroParisTech)

  • Bernard Sinclair-Desgagné

    (HEC Montréal - HEC Montréal)

Abstract

We propose a dynamic graph-theoretic model for ecosystem management as a control over networked system composed of target nodes and unmarked nodes. The network is represented by a complete graph, in which all vertices are connected by a unique edge. Target nodes are attracted by the objective function issued from the ecosystem-based management. They pull the network toward the objective position. The management policy is considered successful if the graph remains connected in time, that is, target nodes attain their objectives and unmarked nodes stay in the convex hull. At the time of the ecosystem network transfer, the model yields a separation theorem as well as a sustainability criterion to maintain full connectivity of the ecosystem. Our definition of sustainability can be easily linked to the general definition of sustainability as ecosystem integrity preservation. At last, we identify three management rules, dependent on the nature of connections, to ensure the maintenance of connectivity in time. The necessary and sufficient conditions for connectivity are (1) synchronous time-delays; (2) coequal magnitudes of increasing objective functions; and (3) nonnegativity of the objective function.
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Arnaud A. Dragicevic & Bernard Sinclair-Desgagné, 2012. "Sustainable Network Dynamics," Post-Print hal-01628570, HAL.
    • Handle: RePEc:hal:journl:hal-01628570
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    References listed on IDEAS

    as
    1. Smith, Martin D. & Sanchirico, James N. & Wilen, James E., 2009. "The economics of spatial-dynamic processes: Applications to renewable resources," Journal of Environmental Economics and Management, Elsevier, vol. 57(1), pages 104-121, January.
    2. Steven H. Strogatz, 2001. "Exploring complex networks," Nature, Nature, vol. 410(6825), pages 268-276, March.
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    Cited by:

    1. Dragicevic, Arnaud Z., 2020. "The economics of the Sylvo-Cynegetic equilibrium," Forest Policy and Economics, Elsevier, vol. 120(C).
    2. Arnaud Z. Dragicevic, 2019. "Market Coordination Under Non-Equilibrium Dynamics," Networks and Spatial Economics, Springer, vol. 19(3), pages 697-715, September.
    3. repec:wsi:acsxxx:v:21:y:2018:i:08:n:s0219525918500182 is not listed on IDEAS
    4. Dragicevic, Arnaud Z. & Shogren, Jason F., 2021. "Preservation Value in Socio-Ecological Systems," Ecological Modelling, Elsevier, vol. 443(C).

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    More about this item

    JEL classification:

    • Q2 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Renewable Resources and Conservation
    • Q5 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Environmental Economics

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