IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v387y2008i11p2631-2636.html
   My bibliography  Save this article

Network growth with preferential attachment for high indegree and low outdegree

Author

Listed:
  • Sevim, Volkan
  • Rikvold, Per Arne

Abstract

We study the growth of a directed transportation network, such as a food web, in which links carry resources. We propose a growth process in which new nodes (or species) preferentially attach to existing nodes with high indegree (in food-web language, number of prey) and low outdegree (or number of predators). This scheme, which we call inverse preferential attachment, is intended to maximize the amount of resources available to each new node. We show that the outdegree (predator) distribution decays at least exponentially fast for large outdegree and is continuously tunable between an exponential distribution and a delta function. The indegree (prey) distribution is poissonian in the large-network limit.

Suggested Citation

  • Sevim, Volkan & Rikvold, Per Arne, 2008. "Network growth with preferential attachment for high indegree and low outdegree," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(11), pages 2631-2636.
    • Handle: RePEc:eee:phsmap:v:387:y:2008:i:11:p:2631-2636
    DOI: 10.1016/j.physa.2008.01.034
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437108000162
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2008.01.034?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Neil Rooney & Kevin McCann & Gabriel Gellner & John C. Moore, 2006. "Structural asymmetry and the stability of diverse food webs," Nature, Nature, vol. 442(7100), pages 265-269, July.
    2. Jayanth R. Banavar & Amos Maritan & Andrea Rinaldo, 1999. "Size and form in efficient transportation networks," Nature, Nature, vol. 399(6732), pages 130-132, May.
    3. Richard J. Williams & Neo D. Martinez, 2000. "Simple rules yield complex food webs," Nature, Nature, vol. 404(6774), pages 180-183, March.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Scotti, Marco & Bondavalli, Cristina & Bodini, Antonio, 2009. "Linking trophic positions and flow structure constraints in ecological networks: Energy transfer efficiency or topology effect?," Ecological Modelling, Elsevier, vol. 220(21), pages 3070-3080.
    2. Jiang Zhang & Lingfei Wu, 2013. "Allometry and Dissipation of Ecological Flow Networks," PLOS ONE, Public Library of Science, vol. 8(9), pages 1-8, September.
    3. He, He & Yang, Bo & Hu, Xiaoming, 2016. "Exploring community structure in networks by consensus dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 450(C), pages 342-353.
    4. Fath, Brian D. & Halnes, Geir, 2007. "Cyclic energy pathways in ecological food webs," Ecological Modelling, Elsevier, vol. 208(1), pages 17-24.
    5. Hennessy, David A., 2006. "Feeding and the Equilibrium Feeder Animal Price-Weight Schedule," Journal of Agricultural and Resource Economics, Western Agricultural Economics Association, vol. 31(2), pages 1-23, August.
    6. He, Xuan & Zhao, Hai & Cai, Wei & Liu, Zheng & Si, Shuai-Zong, 2014. "Earthquake networks based on space–time influence domain," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 407(C), pages 175-184.
    7. Jihui Han & Wei Li & Longfeng Zhao & Zhu Su & Yijiang Zou & Weibing Deng, 2017. "Community detection in dynamic networks via adaptive label propagation," PLOS ONE, Public Library of Science, vol. 12(11), pages 1-16, November.
    8. Nonaka, Etsuko & Kuparinen, Anna, 2023. "Limited effects of size-selective harvesting and harvesting-induced life-history changes on the temporal variability of biomass dynamics in complex food webs," Ecological Modelling, Elsevier, vol. 476(C).
    9. Sabine Dritz & Rebecca A. Nelson & Fernanda S. Valdovinos, 2023. "The role of intra-guild indirect interactions in assembling plant-pollinator networks," Nature Communications, Nature, vol. 14(1), pages 1-13, December.
    10. Dalgaard, Carl-Johan & Strulik, Holger, 2011. "Energy distribution and economic growth," Resource and Energy Economics, Elsevier, vol. 33(4), pages 782-797.
    11. Rossana Mastrandrea & Rob ter Burg & Yuli Shan & Klaus Hubacek & Franco Ruzzenenti, 2022. "Scaling laws in global corporations as a benchmarking approach to assess environmental performance," Papers 2206.03148, arXiv.org, revised Jul 2023.
    12. Hafver, Andreas & Jettestuen, Espen & Baetens, Jan M. & Malthe-Sørenssen, Anders, 2014. "Network formation by contact arrested propagation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 413(C), pages 240-255.
    13. Travers, M. & Shin, Y.-J. & Jennings, S. & Machu, E. & Huggett, J.A. & Field, J.G. & Cury, P.M., 2009. "Two-way coupling versus one-way forcing of plankton and fish models to predict ecosystem changes in the Benguela," Ecological Modelling, Elsevier, vol. 220(21), pages 3089-3099.
    14. Johnson, Jeffrey C. & Luczkovich, Joseph J. & Borgatti, Stephen P. & Snijders, Tom A.B., 2009. "Using social network analysis tools in ecology: Markov process transition models applied to the seasonal trophic network dynamics of the Chesapeake Bay," Ecological Modelling, Elsevier, vol. 220(22), pages 3133-3140.
    15. Kokshenev, Valery B, 2003. "Observation of mammalian similarity through allometric scaling laws," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 322(C), pages 491-505.
    16. Viana, Matheus P. & Fourcassié, Vincent & Perna, Andrea & Costa, Luciano da F. & Jost, Christian, 2013. "Accessibility in networks: A useful measure for understanding social insect nest architecture," Chaos, Solitons & Fractals, Elsevier, vol. 46(C), pages 38-45.
    17. Nan, Dong-Yang & Yu, Wei & Liu, Xiao & Zhang, Yun-Peng & Dai, Wei-Di, 2018. "A framework of community detection based on individual labels in attribute networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 512(C), pages 523-536.
    18. Hendriks, A. Jan, 2007. "The power of size: A meta-analysis reveals consistency of allometric regressions," Ecological Modelling, Elsevier, vol. 205(1), pages 196-208.
    19. repec:dau:papers:123456789/13632 is not listed on IDEAS
    20. Giacomini, Henrique Corrêa & De Marco, Paulo & Petrere, Miguel, 2009. "Exploring community assembly through an individual-based model for trophic interactions," Ecological Modelling, Elsevier, vol. 220(1), pages 23-39.
    21. Delphine Lautier & Julien Ling & Franck Raynaud, 2014. "Systemic Risk in Commodity Markets: What Do Trees Tell Us About Crises?," Post-Print hal-01275562, HAL.

    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:eee:phsmap:v:387:y:2008:i:11:p:2631-2636. 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.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    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.