• Cang Hui
  • Pietro Landi
  • Henintsoa Onivola Minoarivelo
  • Andriamihaja Ramanantoanina
Part of the SpringerBriefs in Ecology book series (BRIEFSECOLOGY)


Species are not isolated but interact with other species for survival, forming complex ecological networks, such as food webs and pollination networks. These ecological networks are self-organised in nature for ecosystem functioning, with detectable non-random network structures and architectures. The ubiquity of these structures suggests some universal mechanisms governing the persistence of each species and the functioning of the entire network. Ecological network models have thus been developed to imitate the emergence of the architecture and functioning of real-world networks. While some ecological network models consider the role of long-term coevolutionary dynamics in shaping networks of biotic interactions, others put the emphasis on the adaptability of interaction. Discussions using these models fit the ongoing debate on the relationship between network complexity and stability. This chapter introduces key metrics, models and notions for studying ecological network emergence.


  1. Allesina S, Tang S (2012) Stability criteria for complex ecosystems. Nature 483:205–208CrossRefPubMedGoogle Scholar
  2. Almeida-Neto M, Ulrich W (2011) A straightforward computational approach for measuring nestedness using quantitative matrices. Environ Model Softw 26:173–178CrossRefGoogle Scholar
  3. Almeida-Neto M, Guimarães P, Guimarães PR Jr, Loyola RD, Ulrich W (2008) A consistent metric for nestedness analysis in ecological systems: reconciling concept and measurement. Oikos 117:1227–1239CrossRefGoogle Scholar
  4. Atmar W, Patterson BD (1993) The measure of order and disorder in the distribution of species in fragmented habitat. Oecologia 96:373–382CrossRefPubMedGoogle Scholar
  5. Barabási AL, Albert R (1999) Emergence of scaling in random networks. Science 286:509–512CrossRefGoogle Scholar
  6. Bascompte J, Jordano P (2006) The structure of plant-animal mutualistic networks. In: Pascual M, Dunne J (eds) Ecological networks. Linking structure to dynamics in food webs. Oxford University Press, New York, pp 143–159Google Scholar
  7. Bascompte J, Jordano P, Melián CJ, Olesen JM (2003) The nested assembly of plant-animal mutualistic networks. Proc Natl Acad Sci U S A 100:9383–9387CrossRefPubMedPubMedCentralGoogle Scholar
  8. Berlow EL, Neutel AM, Cohen JE, De Ruiter PC, Ebenman BO, Emmerson M, Fox JW, Jansen VAA, Jones JI, Kokkoris GD, Logofet DO, McKane AJ, Montoya JM, Petchey O (2004) Interaction strengths in food webs: issues and opportunities. J Anim Ecol 73:585–598CrossRefGoogle Scholar
  9. Camacho J, Guimerà R, Amaral LAN (2002) Robust patterns in food web structure. Phys Rev Lett 88:228102CrossRefPubMedGoogle Scholar
  10. Cattin MF, Bersier LF, Banašek-Richter C, Baltensperger R, Gabriel JP (2004) Phylogenetic constraints and adaptation explain food-web structure. Nature 427:835–839CrossRefPubMedGoogle Scholar
  11. Chen X, Cohen JE (2001) Global stability, local stability and permanence in model food webs. J Theor Biol 212:223–235CrossRefPubMedGoogle Scholar
  12. Cohen JE, Briand F, Newman CM (1990) Community food webs: data and theory. Springer, BerlinCrossRefGoogle Scholar
  13. Dieckmann U, Doebeli M (1999) On the origin of species by sympatric speciation. Nature 400:354–357CrossRefPubMedGoogle Scholar
  14. Doebeli M, Dieckmann U (2000) Evolutionary branching and sympatric speciation caused by different types of ecological interactions. Am Nat 156:S77–S101CrossRefPubMedGoogle Scholar
  15. Dunne JA, Williams RJ, Martinez ND (2002a) Food-web structure and network theory: the role of connectance and size. Proc Natl Acad Sci U S A 99:12917–12922CrossRefPubMedPubMedCentralGoogle Scholar
  16. Dunne JA, Williams RJ, Martinez ND (2002b) Network structure and biodiversity loss in food webs: robustness increases with connectance. Ecol Lett 8:558–567CrossRefGoogle Scholar
  17. Elton CS (1958) Ecology of invasions by animals and plants. Chapman and Hall, LondonCrossRefGoogle Scholar
  18. Erdős P, Rényi A (1959) On random graphs. Publ Math 6:290–297Google Scholar
  19. Fossette S, Glleiss AC, Casey JP, Lewis AR, Hays GC (2012) Does prey size matter? Novel observations of feeding in the leatherback turtle (Dermochelys coriacea) allow a test of predator-prey size relationships. Biol Lett 8:351–354CrossRefPubMedGoogle Scholar
  20. Gell-Mann M (1995) What is complexity? Complexity 1:16–19CrossRefGoogle Scholar
  21. Gravel D, Massol F, Leibold M (2016) Stability and complexity in model meta-ecosystems. Nat Commun 7:12457CrossRefPubMedPubMedCentralGoogle Scholar
  22. Guimerà R, Amaral LAN (2005) Cartography of complex networks: modules and universal roles. J Stat Mech Theory Exp 2005:P02001CrossRefGoogle Scholar
  23. Hagen M, Kissling WD, Rasmussen C, Carstensen DW, Dupont YL, KaiserBunbury CN, O’Gorman EJ, Olesen JM, MAM DA, Brown LE, AlvesDos-Santos I, Guimarães PR, Maia KP, Marquitti FMD, Vidal MM, Edwards FK, Genini J, Jenkins GB, Trøjelsgaard K, Woodward G, Jordano P, Ledger ME, Mclaughlin T, Morellato LPC, Tylianakis JM (2012) Biodiversity, species interactions and ecological networks in a fragmented world. Adv Ecol Res 46:89–120CrossRefGoogle Scholar
  24. Hubbell SP (2001) The unified neutral theory of biodiversity and biogeography. Princeton University Press, PrincetonGoogle Scholar
  25. Hui C, Richardson DM (2017) Invasion dynamics. Oxford University Press, Oxford, UKCrossRefGoogle Scholar
  26. Hui C, Richardson DM, Landi P, Minoarivelo HO, Garnas J, Roy HE (2016) Defining invasiveness and invasibility in ecological networks. Biol Invasions 18:971–983CrossRefGoogle Scholar
  27. Jordano P, Bascompte J, Olesen JM (2003) Invariant properties in coevolutionary networks of plant animal interactions. Ecol Lett 6:69–81CrossRefGoogle Scholar
  28. Kaiser-Bunbury CN, Muff S, Memmott J, Müller CB, Caflisch A (2010) The robustness of pollination networks to the loss of species and interactions: a quantitative approach incorporating pollinator behaviour. Ecol Lett 13:442–452CrossRefPubMedGoogle Scholar
  29. Kondoh M (2003) Foraging adaptation and the relationship between food-web complexity and stability. Science 299:1388–1391CrossRefPubMedGoogle Scholar
  30. Krause AE, Frank KA, Mason DM, Ulanowicz RE, Taylor WW (2003) Compartments revealed in food-web structure. Nature 426:282–285CrossRefPubMedGoogle Scholar
  31. Landi P, Piccardi C (2014) Community analysis in directed networks: in-, out-, and pseudocommunities. Phys Rev E 89:012814CrossRefGoogle Scholar
  32. Landi P, Minoarivelo HO, Brännström Å, Hui C, Dieckmann U (2018) Complexity and stability of adaptive ecological networks: a survey of the theory in community ecology. In: Mensah P, Katerere D, Hachigonta S, Roodt A (eds) Systems analysis approach for complex global challenges. Springer, Cham, pp 209–248CrossRefGoogle Scholar
  33. Leibold MA, Chase JM (2018) Metacommunity ecology. Princeton University Press, PrincetonCrossRefGoogle Scholar
  34. MacArthur RH (1955) Fluctuations of animal populations and a measure of community stability. Ecology 36:533–536CrossRefGoogle Scholar
  35. May RM (1972) Will a large complex system be stable? Nature 238:413–414CrossRefPubMedGoogle Scholar
  36. May RM (1973) Stability and complexity in model ecosystems. Princeton University Press, PrincetonGoogle Scholar
  37. McCann KS (2000) The diversity-stability debate. Nature 405:228–233CrossRefPubMedGoogle Scholar
  38. McCann KS, Hastings A, Huxel GR (1998) Weak trophic interactions and the balance of nature. Nature 395:794–798CrossRefGoogle Scholar
  39. Milgram S (1967) The small world problem. Psychology Today 1:61–67Google Scholar
  40. Minoarivelo HO, Hui C (2016a) Trait-mediated interaction leads to structural emergence in mutualistic networks. Evol Ecol 30:105–121CrossRefGoogle Scholar
  41. Minoarivelo HO, Hui C (2016b) Invading a mutualistic network: to be or not to be similar. Ecol Evol 6:4981–4996CrossRefPubMedPubMedCentralGoogle Scholar
  42. Minoarivelo HO, Hui C, Terblance JC, Kosakovsky P, Sheffler K (2014) Detecting phylogenetic signal in mutualistic interaction networks using a Markov process model. Oikos 123:1250–1260CrossRefPubMedPubMedCentralGoogle Scholar
  43. Moore JC, Hunt HW (1988) Resource compartmentation and the stability of real ecosystems. Nature 333:261–263CrossRefGoogle Scholar
  44. Neutel A-M, Heesterbeek JAP, de Ruiter PC (2002) Stability in real food webs: weak links in long loops. Science 296:1120–1123CrossRefPubMedGoogle Scholar
  45. Newman M, Girvan M (2004) Finding and evaluating community structure in networks. Phys Rev E 69:026113CrossRefGoogle Scholar
  46. Nuwagaba S, Zhang F, Hui C (2015) A hybrid behavioural rule of adaptation and drift explains the emergent architecture of antagonistic networks. Proc R Soc B 282:20150320CrossRefPubMedGoogle Scholar
  47. Nuwagaba S, Zhang F, Hui C (2017) Robustness of rigid and adaptive networks to species loss. PLoS One 12:e0189086CrossRefPubMedPubMedCentralGoogle Scholar
  48. Okuyama T, Holland JN (2008) Network structural properties mediate the stability of mutualistic communities. Ecol Lett 11:208–216CrossRefPubMedGoogle Scholar
  49. Olesen JM, Bascompte J, Dupont YL, Jordano P (2007) The modularity of pollination networks. Proc Natl Acad Sci U S A 104:19891–19896CrossRefPubMedPubMedCentralGoogle Scholar
  50. Paine RT (1980) Food webs: linkage, interaction strength and community infrastructure. J Anim Ecol 49:667–685CrossRefGoogle Scholar
  51. Pimm SL (1979) Complexity and stability: another look at MacArthur’s original hypothesis. Oikos 33:251–257CrossRefGoogle Scholar
  52. Rezende EL, Lavabre JE, Guimarães PR, Jordano P, Bascompte J (2007) Non-random coextinctions in phylogenetically structured mutualistic networks. Nature 448:925–928CrossRefPubMedGoogle Scholar
  53. Rohr RP, Saavedra S, Bascompte J (2014) On the structural stability of mutualistic systems. Science 345:1253497CrossRefPubMedGoogle Scholar
  54. Rosvall M, Bergstrom CT (2007) An information-theoretic framework for resolving community structure in complex networks. Proc Natl Acad Sci U S A 104(18):7327–7331CrossRefPubMedPubMedCentralGoogle Scholar
  55. Sanchez A (2015) Fidelity and promiscuity in an ant-plant mutualism: a case study of Triplaris and Pseudomyrmex. PLoS One 10:e0143535CrossRefPubMedPubMedCentralGoogle Scholar
  56. Santamaría L, Rodríguez-Gironés MA (2007) Linkage rules for plant-pollinator networks: trait complementarity or exploitation barriers? PLoS Biol 5:354–362CrossRefGoogle Scholar
  57. Schelling M, Hui C (2015) modMax: Community structure detection via modularity maximization. R package, version 1.0,
  58. Solé RV, Valls J (1992) On structural stability and chaos in biological systems. J Theor Biol 155:87–102CrossRefGoogle Scholar
  59. Staniczenko P, Lewis OT, Jones NS, Reed-Tsochas F (2010) Structural dynamics and robustness of food webs. Ecol Lett 13:891–899CrossRefPubMedGoogle Scholar
  60. Summerhayes VS, Elton CS (1923) Contributions to the ecology of Spitzbergen and Bear Island. J Ecol 11:214–286CrossRefGoogle Scholar
  61. Suweis S, Simini F, Banavar JR, Maritan A (2013) Emergence of structural and dynamical properties of ecological mutualistic networks. Nature 500:449–452CrossRefPubMedGoogle Scholar
  62. Suweis S, Grilli J, Banavar JR, Allesina S, Maritan A (2015) Effect of localization on the stability of mutualistic ecological networks. Nat Commun 6:10179CrossRefPubMedPubMedCentralGoogle Scholar
  63. Valdovinos FS, Ramos-Jiliberto R, Garay-Narváez L, Urbani P, Dunne JA (2010) Consequences of adaptive behaviour for the structure and dynamics of food webs. Ecol Lett 13:1546–1559CrossRefPubMedGoogle Scholar
  64. van Altena C, Hemerik L, de Ruiter PC (2016) Food web stability and weighted connectance: the complexity stability debate revisited. Theor Ecol 9:49–58CrossRefGoogle Scholar
  65. van Baalen M, Křivan V, van Rijn PC, Sabelis MW (2001) Alternative food, switching predators, and the persistence of predator-prey systems. Am Nat 157:512–524PubMedGoogle Scholar
  66. Waser NM (2015) Competition for pollination and the evolution of flowering time. Am Nat 185:iii–iivCrossRefPubMedGoogle Scholar
  67. Watts DJ, Strogatz SH (1998) Collective dynamics of small-world networks. Nature 393:440–442CrossRefPubMedGoogle Scholar
  68. Williams RJ, Martinez ND (2000) Simple rules yield complex food web. Nature 404:180–183CrossRefPubMedGoogle Scholar
  69. Zhang F, Hui C (2014) Recent experience-driven behaviour optimizes foraging. Anim Behav 88:13–19CrossRefGoogle Scholar
  70. Zhang F, Hui C, Terblanche JS (2011) An interaction switch predicts the nested architecture of mutualistic networks. Ecol Lett 14:797–803CrossRefPubMedGoogle Scholar
  71. Zhang F, Hui C, Pauw A (2013) Adaptive divergence in Darwin’s race: how coevolution can generate trait diversity in a pollination system. Evolution 67:548–560CrossRefPubMedGoogle Scholar

Copyright information

© The Author(s), under exclusive licence to Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  • Cang Hui
    • 1
  • Pietro Landi
    • 1
  • Henintsoa Onivola Minoarivelo
    • 1
  • Andriamihaja Ramanantoanina
    • 1
  1. 1.Department of Mathematical SciencesStellenbosch UniversityStellenboschSouth Africa

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