Emergence of non-random structure in local food webs generated from randomly structured regional webs.

Previous studies have shown that high-resolution, empirical food webs possess a non-random network structure, typically characterized by uniform or exponential degree distributions. However, the empirical food webs that have been investigated for their structural properties represent local communities that are only a subset of a larger pool of regionally coexisting species. Here, we use a simple model to investigate the effects of regional food web structure on local food webs that are assembled by two simple processes: random immigration of species from a source web (regional food web), and random extinction of species within the local web. The model shows that local webs with non-random degree distributions can arise from randomly structured source webs. A comparison of local webs assembled from randomly structured source webs with local webs assembled from source webs generated by the niche model shows that the former have higher species richness at equilibrium, but have a nonlinear response to changing extinction rates. These results imply that the network structure of regional food webs can play a significant role in the assembly and dynamics of local webs in natural ecosystems. With natural landscapes becoming increasingly fragmented, understanding such structure may be a necessary key to understanding the maintenance and stability of local species diversity.

[1]  Sitabhra Sinha,et al.  Examining the effects of species richness on community stability: an assembly model approach , 2002 .

[2]  Neo D. Martinez,et al.  Food-web structure and network theory: The role of connectance and size , 2002, Proceedings of the National Academy of Sciences of the United States of America.

[3]  Albert-László Barabási,et al.  Statistical mechanics of complex networks , 2001, ArXiv.

[4]  Béla Bollobás,et al.  Random Graphs , 1985 .

[5]  S. Strogatz Exploring complex networks , 2001, Nature.

[6]  Richard Law,et al.  PERMANENCE AND THE ASSEMBLY OF ECOLOGICAL COMMUNITIES , 1996 .

[7]  R. Solé,et al.  Scaling in a network model of a multispecies ecosystem , 2000 .

[8]  Neo D. Martinez,et al.  Network structure and biodiversity loss in food webs: robustness increases with connectance , 2002, Ecology Letters.

[9]  Jonathan M. Chase,et al.  Biodiversity and ecosystem functioning at local and regional spatial scales , 2002 .

[10]  Albert-László Barabási,et al.  Error and attack tolerance of complex networks , 2000, Nature.

[11]  Andrei Z. Broder,et al.  Graph structure in the Web , 2000, Comput. Networks.

[12]  R. Albert,et al.  The large-scale organization of metabolic networks , 2000, Nature.

[13]  J. Montoya,et al.  Small world patterns in food webs. , 2002, Journal of theoretical biology.

[14]  Michalis Faloutsos,et al.  On power-law relationships of the Internet topology , 1999, SIGCOMM '99.

[15]  Neo D. Martinez Artifacts or Attributes? Effects of Resolution on the Little Rock Lake Food Web , 1991 .

[16]  S. Redner How popular is your paper? An empirical study of the citation distribution , 1998, cond-mat/9804163.

[17]  Carlos J. Melián,et al.  Complex networks: two ways to be robust? , 2002 .

[18]  M. Newman,et al.  The structure of scientific collaboration networks. , 2000, Proceedings of the National Academy of Sciences of the United States of America.

[19]  W. Post,et al.  Community assembly and food web stability , 1983 .

[20]  H E Stanley,et al.  Classes of small-world networks. , 2000, Proceedings of the National Academy of Sciences of the United States of America.

[21]  Neo D. Martinez,et al.  Simple rules yield complex food webs , 2000, Nature.

[22]  B. Bollobás The evolution of random graphs , 1984 .

[23]  FaloutsosMichalis,et al.  On power-law relationships of the Internet topology , 1999 .

[24]  James A. Drake,et al.  The mechanics of community assembly and succession , 1990 .

[25]  Albert,et al.  Emergence of scaling in random networks , 1999, Science.

[26]  Roger Guimerà,et al.  Robust patterns in food web structure. , 2001, Physical review letters.