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Small World Patterns in Food Webs

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  • Jose M. Montoya
  • Ricard V. Solé

Abstract

The analysis of some species-rich, well-defined food webs shows that they display the so called Small World behavior shared by a number of disparate complex systems. The three systems analysed (Ythan estuary web, Silwood web and the Little Rock lake web) have different levels of taxonomic resolution, but all of them involve high clustering and short path lengths between species. Additionally, the distribution of connections $P(k)$ is skewed in all the webs analysed and shows a power-law behavior $P(k) \propto k^{-\gamma}$ in two cases (with $\gamma \approx 1$). These features suggest that communities might be self-organized in such a way that high homeostasis to perturbations (with short transient times to recovery) would be at work. The consequences for ecological theory are outlined.

Suggested Citation

  • Jose M. Montoya & Ricard V. Solé, 2000. "Small World Patterns in Food Webs," Working Papers 00-10-059, Santa Fe Institute.
  • Handle: RePEc:wop:safiwp:00-10-059
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    Cited by:

    1. Matutinovic, Igor, 2002. "Organizational patterns of economies: an ecological perspective," Ecological Economics, Elsevier, vol. 40(3), pages 421-440, March.
    2. Ramon Ferrer i Cancho & Ricard V. Solé, 2001. "The Small-World of Human Language," Working Papers 01-03-016, Santa Fe Institute.
    3. Hai-Bo Hu & Lin Wang, 2005. "The Gini Coefficient'S Application To General Complex Networks," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 8(01), pages 159-167.

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