Skip to main content

Advertisement

Log in

Threshold extinction in food webs

  • Published:
Theoretical Ecology Aims and scope Submit manuscript

Abstract

Food web response to species loss has been investigated in several ways in the previous years. In binary food webs, species go secondarily extinct if no resource item remains to be exploited. In this work, we considered that species can go extinct before the complete loss of their resources and we introduced thresholds of minimum energy requirement for species survival. According to this approach, extinction of a node occurs whenever an initial extinction event eliminates its incoming links so it is left with an overall energy intake lower than the threshold value. We tested the robustness of 18 real food webs by removing species from most to least connected and considering different scenarios defined by increasing the extinction threshold. Increasing energy requirement threshold negatively affects food web robustness. We found that a very small increase of the energy requirement substantially increases system fragility. In addition, above a certain value of energy requirement threshold we found no relationship between the robustness and the connectance of the web. Further, food webs with more species showed higher fragility with increasing energy threshold. This suggests that the shape of the robustness–complexity relationship of a food web depends on the sensitivity of consumers to loss of prey.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4

Similar content being viewed by others

References

  • Albert R, Jeong H, Barabasi A (2000) Error and attack tolerance of complex networks. Nature 406:378–382

    Article  PubMed  CAS  Google Scholar 

  • Allesina S, Bodini A (2004) Who dominates whom in the ecosystem? Energy flow bottlenecks and cascading extinctions. J Theor Biol 230:351–358

    Article  PubMed  Google Scholar 

  • Allesina S, Pascual M (2008) Network structure, predator–prey motifs, and stability in large food webs. Theor Ecol 1:55–64

    Article  Google Scholar 

  • Allesina S, Pascual M (2009) Googling food webs: can an eigenvector measure species' importance? PLoS Comp Biol 5(9):e1000494

    Article  Google Scholar 

  • Allesina S, Bodini A, Bondavalli C (2006) Secondary extinctions in ecological networks: bottlenecks unveiled. Ecol Model 194:150–161

    Article  Google Scholar 

  • Allesina S, Bodini A, Pascual M (2009) Functional links and robustness in food web. Phil Trans Roy Soc B 364:1701–1709

    Article  Google Scholar 

  • Banašek-Richter C, Bersier LF, Cattin MF, Merz Y, Baltensperger R, Gabriel JP, de Ruiter P, Tavares-Cromar A, Ulanowicz RE, Winemiller K, Naisbit RE (2009) Complexity in quantitative food webs. Ecology 90:1470–1477

    Article  PubMed  Google Scholar 

  • Bascompte J, Melián CJ, Sala E (2005) Interaction strength combinations and the overfishing of a marine food web. PNAS 102:5443–5447

    Article  PubMed  CAS  Google Scholar 

  • Bersier LF, Sugihara G (1997) Scaling regions for food web properties. PNAS 94:1247–1251

    Article  PubMed  CAS  Google Scholar 

  • Bersier LF, Banasek-Richter C, Cattin MF (2002) Quantitative descriptors of food-web matrices. Ecology 83:2394–2407

    Article  Google Scholar 

  • Binzer A, Brose U, Curtsdotter A, Eklöf A, Rall BC, Riede JO, de Castro F (2011) The susceptibility of species to primary extinctions in model communities. Basic Appl Ecol 12:590–599

    Article  Google Scholar 

  • Bodini A, Bellingeri M, Bondavalli C, Allesina S (2009) Using food web dominator trees to catch secondary extinctions in action. Phil Trans R Soc B 364:1725–1731

    Article  PubMed  Google Scholar 

  • Bondavalli C, Bodini A, Rossetti G, Allesina S (2006) Detecting stress at the whole ecosystem level. The case of a mountain lake: Lake Santo (Italy). Ecosystems 9:768–787

    Article  CAS  Google Scholar 

  • Borrvall C, Ebenman B, Jonsson T (2000) Biodiversity lessens the risk of cascading extinction in model food webs. Ecol Lett 3:131–136

    Article  Google Scholar 

  • Brose U (2011) Extinctions in complex, size-structured communities. Basic Appl Ecol 12:557–561

    Article  Google Scholar 

  • Curtsdotter A, Binzer A, Brose A, Eklöf A, Riede J, de Castro F et al (2011) Robustness to secondary extinctions: comparing trait-based sequential deletions in static and dynamic food-webs. Basic Appl Ecol 12:571–580

    Article  Google Scholar 

  • Dunne JA (2006) The network structure of food webs. Ecological Networks: Linking Structure to Dynamics in Food Webs. In Pascual M, Dunne JA (eds.), Oxford University Press, New York

  • Dunne J, Williams R (2009) Cascading extinctions and community collapse in model food webs. Phil Trans R Soc B 364:1711–1723

    Article  PubMed  Google Scholar 

  • Dunne J, Williams R, Martinez N (2002) Network structure and biodiversity loss in food webs: robustness increases with connectance. Ecol Lett 5:558–567

    Article  Google Scholar 

  • Dunne J, Williams R, Martinez N (2004) Network structure and robustness of marine food webs. Mar Ecol Prog Ser 273:291–302

    Article  Google Scholar 

  • Ebenman B (2011) Response of ecosystems to realistic extinction sequences. J Anim Ecol 80:307–309

    Article  PubMed  Google Scholar 

  • Eklöf A, Ebenman B (2006) Species loss and secondary extinctions in simple and complex model communities. J Anim Ecol 75:239–246

    Article  PubMed  Google Scholar 

  • Estrada E (2007) Food webs robustness to biodiversity loss: the roles of connectance, expansibility and degree distribution. J Theor Biol 244:296–307

    Article  PubMed  Google Scholar 

  • Fowler M (2009) Extinction cascade and the distribution of species interactions. Oikos 119:864–873

    Article  Google Scholar 

  • Gilbert AJ (2009) Connectance indicates the robustness of food webs when subjected to species loss. Ecol Indic 9:72–80

    Article  Google Scholar 

  • Jordan F, Scheuring I, Vida G (2002) Species positions and extinction dynamics in simple food webs. J Theor Biol 215:441–448

    Google Scholar 

  • MacArthur RH (1955) Fluctuation of animal populations and a measure of community stability. Ecology 36:533–536

    Article  Google Scholar 

  • May RM (1972) Will a large complex system be stable? Nature 238:413–414

    Article  PubMed  CAS  Google Scholar 

  • May RM (2006) Network structure and the biology of populations. Trends Ecol Evol 21:394–399

    Article  PubMed  Google Scholar 

  • McCann K, Hastings A, Huxel GR (1998) Weak trophic interactions and the balance of nature. Nature 395:794–798

    Article  CAS  Google Scholar 

  • Montoya J, Sole R (2003) Topological properties of food webs: from real data to community assembly models. Oikos 102:614–622

    Article  Google Scholar 

  • Montoya J, Pimm S, Sole R (2006) Ecological networks and their fragility. Nature 442:259–264

    Article  PubMed  CAS  Google Scholar 

  • Neutel AM, Heesterbeek JAP, De Ruiter PC (2002) Stability in real food webs: weak links in long loops. Science 296:1120–1123

    Article  PubMed  CAS  Google Scholar 

  • O’Gormann EJ, Emmerson MC (2009) Perturbation to trophic interactions and the stability of complex food webs. PNAS 32:13393–13398

    Article  Google Scholar 

  • Pimm SL (1980) Food web design and the effect of species deletion. Oikos 35:139–149

    Article  Google Scholar 

  • Solé RV, Montoya JM (2001) Complexity and fragility in ecological networks. Proc R Soc Lond B 268:2039–2045

    Article  Google Scholar 

  • Srinivasan U, Dunne J, Harte J, Martinez N (2007) Response of complex food webs to realistic extinction sequences. Ecology 88:671–682

    Article  PubMed  Google Scholar 

  • Staniczenko PPA, Lewis OT, Jones NS, Reed-Tsochas F (2010) Structural dynamics and robustness of food webs. Ecol Lett 13:891–899

    Article  PubMed  Google Scholar 

  • Teng J, McCann KS (2004) Dynamics of compartmented and reticulate food web in relation to energetic flows. Am Nat 164:85–100

    Article  PubMed  Google Scholar 

  • Thierry A, Beckerman AP, Warren PH, Williams RJ, Cole AJ, Petchey OL (2011) Adaptive foraging and the rewiring of size structured food webs following extinctions. Basic Appl Ecol 12:562–570

    Article  Google Scholar 

  • Tylianakis JM, Laliberté E, Nielsen A, Bascompte J (2010) Conservation of species interaction networks. Biol Conserv 143:2270–2279

    Article  Google Scholar 

  • Ulanowicz RE (1986) Growth and development: ecosystems. Phenomenology. Springer, NY, p 203

    Book  Google Scholar 

  • Valdovinos FS, Ramos-Jiliberto R, Garay-Narvaez L, Urbani P, Dunne JA (2010) Consequences of adaptive behaviour for the structure and dynamics of food webs Ecol Lett 13:1546–1559

    Google Scholar 

Download references

Acknowledgements

Thanks to Francesco Scotognella and Emanuela Tenca for the helpful discussions and comments on earlier versions of this paper. We thank Simone Vincenzi and two anonymous reviewers for revisions that greatly improved the paper.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Michele Bellingeri.

Electronic supplementary material

Below is the link to the electronic supplementary material.

ESM 1

(DOC 475 kb)

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bellingeri, M., Bodini, A. Threshold extinction in food webs. Theor Ecol 6, 143–152 (2013). https://doi.org/10.1007/s12080-012-0166-0

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12080-012-0166-0

Keywords

Navigation