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Overspill avalanching in a dense reservoir network

Author

Listed:
  • G. L. Mamede
  • N. A. M. Araujo
  • C. M. Schneider
  • J. C. de Araujo
  • H. J. Herrmann

Abstract

Sustainability of communities, agriculture, and industry is strongly dependent on an effective storage and supply of water resources. In some regions the economic growth has led to a level of water demand which can only be accomplished through efficient reservoir networks. Such infrastructures are not always planned at larger scale but rather made by farmers according to their local needs of irrigation during droughts. Based on extensive data from the upper Jaguaribe basin, one of the world's largest system of reservoirs, located in the Brazilian semiarid north-east, we reveal that surprisingly it self-organizes into a scale-free network exhibiting also a power-law in the distribution of the lakes and avalanches of discharges. With a new self-organized-criticality-type model we manage to explain the novel critical exponents. Implementing a flow model we are able to reproduce the measured overspill evolution providing a tool for catastrophe mitigation and future planning.

Suggested Citation

  • G. L. Mamede & N. A. M. Araujo & C. M. Schneider & J. C. de Araujo & H. J. Herrmann, "undated". "Overspill avalanching in a dense reservoir network," Working Papers ETH-RC-12-008, ETH Zurich, Chair of Systems Design.
    • Handle: RePEc:stz:wpaper:eth-rc-12-008
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    Citations

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    Cited by:

    1. Samuel J. Peter & J. C. de Ara'ujo & N. A. M. Ara'ujo & H. J. Herrmann, "undated". "Flood avalanches in a semiarid basin with a dense reservoir network," Working Papers ETH-RC-14-007, ETH Zurich, Chair of Systems Design.
    2. Matthew Deitch & Adina Merenlender & Shane Feirer, 2013. "Cumulative Effects of Small Reservoirs on Streamflow in Northern Coastal California Catchments," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 27(15), pages 5101-5118, December.
    3. Wang, Jianwei, 2013. "Mitigation strategies on scale-free networks against cascading failures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(9), pages 2257-2264.
    4. Ashish Kumar & Anindya S. Chakrabarti & Anirban Chakraborti & Tushar Nandi, 2020. "Distress propagation on production networks: Coarse-graining and modularity of linkages," Papers 2004.14485, arXiv.org.
    5. Paulilo Brasil & Pedro Medeiros, 2020. "NeStRes – Model for Operation of Non-Strategic Reservoirs for Irrigation in Drylands: Model Description and Application to a Semiarid Basin," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 34(1), pages 195-210, January.
    6. Vitor H. P. Louzada & Fabio Daolio & Hans J. Herrmann & Marco Tomassini, "undated". "Smart rewiring for network robustness," Working Papers ETH-RC-14-004, ETH Zurich, Chair of Systems Design.

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    Keywords

    overspill avalanching;

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