IDEAS home Printed from https://ideas.repec.org/p/lef/wpaper/2012-02.html

Sustainable Network Dynamics

Author

Listed:
  • Arnaud Dragicevic

    (Laboratoire d'Economie Forestière, INRA - AgroParisTech)

  • Bernard Sinclair-Desgagné

    (HEC Montréal
    École Polytechnique ParisTech – Département d’Économie)

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 external ecosystem management. They pull the network toward the objective position, which is either non-null or stationary. The management policy is considered successful if the graph remains connected in time, that is, target nodes attain the objective and unmarked nodes stay in the convex hull. At the time of the ecosystem network transfer, the model yields an Impossibility Theorem as well as a Sustainability Criterion to maintain full connectivity of the network. 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 to ensure the maintenance of connectivity in time, given the property of the objective transposition function, the nature of connections and the utility-updating time-delays between the nodes.

Suggested Citation

  • Arnaud Dragicevic & Bernard Sinclair-Desgagné, 2012. "Sustainable Network Dynamics," Working Papers - Cahiers du LEF 2012-02, Laboratoire d'Economie Forestiere, AgroParisTech-INRA, revised Jul 2012.
    • Handle: RePEc:lef:wpaper:2012-02
    as

    Download full text from publisher

    File URL: http://www.nancy.inra.fr/lef_eng/cahiers_du_lef/2012/2012_02
    File Function: First version, 2010
    Download Restriction: no
    ---><---

    Other versions of this item:

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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).

    More about this item

    Keywords

    ;
    ;
    ;
    ;

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • 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

    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:lef:wpaper:2012-02. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: Sylvain CAURLa The email address of this maintainer does not seem to be valid anymore. Please ask Sylvain CAURLa to update the entry or send us the correct address (email available below). General contact details of provider: https://edirc.repec.org/data/lefinfr.html .

    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.