Effects of network and dynamical model structure on species persistence in large model food webs

Theoretical Ecology

Volumn 1, Issue 3, 2008, Pages 141-151

  Williams, Richard J ^a  

^a MICROSOFT RESEARCH   (United Kingdom)

Author keywords

Bioenergetic dynamics; Food web; Persistence; Stability

Indexed keywords

BIOENERGETICS; COEXISTENCE; ECOLOGICAL MODELING; ECOSYSTEM FUNCTION; EMPIRICAL ANALYSIS; FOOD WEB; FUTURE PROSPECT; PARAMETERIZATION; PRIMARY PRODUCTION;

EID: 50849130211     PISSN: 18741738     EISSN: 18741746     Source Type: Journal    
DOI: 10.1007/s12080-008-0013-5     Document Type: Article

References (69)

1. Amaral LAN, Meyer M (1999) Environmental changes, coextinction and patterns in the fossil record. Phys Rev Lett 82:652-655
2. Arditi R, Michalski JJ (1996) Nonlinear food web models and their responses to increased basal productivity. In: Polis GA, Winemiller KO (eds) Food webs: Integration of patterns and dynamics. Chapman and Hall, New York, pp 122-133
3. Bascompte J, Melian CJ (2005) Simple trophic modules for complex food webs. Ecology 86:2868-2873
4. Beckerman AP, Petchey OL, Warren PH (2006) Foraging biology predicts food web complexity. Proc Natl Acad Sci USA 103:13745-13749
5. Beddington JR (1975) Mutual Interference between parasites or predators and its effect on searching efficiency. J Anim Ecol 44:331-340
6. Borer ET, Anderson K, Blanchette CA, Broitman B, Cooper SD, Halpern BS (2002) Topological approaches to food web analyses: A few modifications may improve our insights. Oikos 99:397-401
7. Brose U, Berlow EL, Martinez ND (2005) Scaling up keystone effects from simple to complex ecological networks. Ecol Lett 8:1317-1325
8. Brose U, Jonsson T, Berlow EL, Warren P, Banasek-Richter C, Bersier LF, Blanchard JL, Brey T, Carpenter SR, Blandenier MFC, Cushing L, Dawah HA, Dell T, Edwards F, Harper-Smith S, Jacob U, Ledger ME, Martinez ND, Memmott J, Mintenbeck K, Pinnegar JK, Rall BC, Rayner TS, Reuman DC, Ruess L, Ulrich W, Williams RJ, Woodward G, Cohen JE (2006a) Consumer-resource body-size relationships in natural food webs. Ecology 87:2411-2417
9. Brose U, Williams RJ, Martinez ND (2006b) Allometric scaling enhances stability in complex food webs. Ecol Lett 9:1228-1236
10. Brown JH, Gillooly JF, Allen AP, Savage VM, West GB (2004) Toward a metabolic theory of ecology. Ecology 85:1771-1789
11. Caldarelli G, Higgs PG, McKane AJ (1998) Modelling coevolution in multispecies communities. J Theor Biol 193:345-358
12. Camacho J, Sole RV (2000) Extinction and taxonomy in a trophic model of coevolution. Phys Rev E 62:1119
13. Camacho J, Guimera R, Amaral LAN (2002) Robust patterns in food web structure. Phys Rev Lett 88:228102
14. Cattin M-F, Bersier L-F, Banasek-Richter C, Baltensperger R, Gabriel J-P (2004) Phylogenetic constraints and adaptation explain food-web structure. Nature 427:835-839
15. Chesson J (1983) The estimation and analysis of preference and its relationship to foraging models. Ecology 64:1297-1304
16. Cohen JE, Briand F, Newman CM (1990) Community food webs: Data and theory. Springer, Berlin
17. Cohen JE, Beaver RA, Cousins SH, DeAngelis DL, Goldwasser L, Heong KL, Holt RD, Kohn AJ, Lawton JH, Martinez N, O'Malley R, Page LM, Patten BC, Pimm SL, Polis GA, Rejm nek M, Schoener TW, Schoely K, Sprules WG, Teal JM, Ulanowicz RE, Warren PH, Wilbur HM, Yodzis P (1993) Improving food webs. Ecology 74:252-258
18. DeAngelis DL, Goldstein RA, Oneill RV (1975) Model for trophic interaction. Ecology 56:881-892
19. Drossel B, Higgs PG, McKane AJ (2001) The influence of predator-prey population dynamics on the long-term evolution of food web structure. J Theor Biol 208:91-107
20. Drossel B, McKane AJ, Quince C (2004) The impact of nonlinear functional responses on the long-term evolution of food web structure. J Theor Biol 229:539-548
21. Dunne JA (2006) The network structure of food webs. In: Pascual M, Dunne JA (eds) Ecological networks: Linking structure to dynamics in food webs. Oxford University Press, New York
22. Dunne JA, Williams RJ, Martinez ND (2004) Network structure and robustness of marine food webs. Mar Ecol Prog Ser 273:291-302
23. Elton CS (1958) Ecology of invasions by animals and plants. Chapman & Hall, London
24. Emmerson M, Yearsley JM (2004) Weak interactions, omnivory and emergent food-web properties. Proc R Soc Lond B Biol Sci 271:397-405
25. Enquist BJ, West GB, Charnov EL, Brown JH (1999) Allometric scaling of production and life-history variation in vascular plants. Nature 401:907-911
26. Erdos P, Renyi A (1959) On random graphs I. Publ Math (Debr) 6:290-297
27. Ernest SKM, Enquist BJ, Brown JH, Charnov EL, Gillooly JF, Savage VM, White EP, Smith FA, Hadly EA, Haskell JP, Lyons SK, Maurer BA, Niklas KJ, Tiffney B (2003) Thermodynamic and metabolic effects on the scaling of production and population energy use. Ecol Lett 6:990-995
28. Fagan WF (1997) Omnivory as a stabilizing feature of natural communities. Am Nat 150:554-567
29. Fussman GF, Blasius B (2005) Community response to enrichment is highly sensitive to model structure. Biol Lett 1:9-12
30. Garcia-Domingo JL, Saldana J (2007) Food-web complexity emerging from ecological dynamics on adaptive networks. J Theor Biol 247:819-826
31. Gentleman W, Leising A, Frost B, Strom S, Musrray J (2003) Functional responses for zooplankton feeding on multiple resources: A review of assumptions and biological dynamics. Deep-Sea Res II 50:2847-2875
32. Holling CS (1959) The components of predation as revealed by a study of small-mammal predation of the European pine sawfly. Can Entomol 91:293-320
33. Hutchinson GE (1959) Homage to Santa Rosalia or why are there so many kinds of animals? Am Nat 93:145-159
34. Jeschke JM, Kopp M, Tollrian R (2002) Predator functional responses: discriminating between handling and digesting prey. Ecol Monogr 72:95-112
35. Kondoh M (2003) Foraging adaptation and the relationship between food-web complexity and stability. Science 299:1388-1391
36. Loeuille N, Loreau M (2005) Evolutionary emergence of size-structured food webs. Proc Natl Acad Sci USA 102:5761-5766
37. Martinez ND, Williams RJ, Dunne JA (2006) Diversity, complexity, and persistence in large model ecosystems. In: Pascual M, Dunne JA (eds) Ecological networks: Linking structure to dynamics in food webs. Oxford University Press, New York
38. May RM (1972) Will a large complex system be stable? Nature 238:413-414
39. McCann KS (2000) The diversity-stability debate. Nature 405:228-233
40. McCann K, Hastings A (1997) Re-evaluating the omnivory-stability relationship in food webs. Proc R Soc Lond B Biol Sci 264:1249-1254
41. McCann K, Hastings A, Huxel GR (1998) Weak trophic interactions and the balance of nature. Nature 395:794-798
42. Milo R, Shen-Orr S, Itzkovitz S, Kashtan N, Chklovskii D, Alon U (2002) Network motifs: Simple building blocks of complex networks. Science 298:824-827
43. Montoya JM, Sole RV (2003) Topological properties of food webs: From real data to community assembly models. Oikos 102:614-622
44. Murdoch WW (1973) The functional response of predators. J Appl Ecol 10:335-342
45. Nachman G (2006) A functional response model of a predator population foraging in a patchy environment. J Anim Ecol 75:948-958
46. Neutel AM, Heesterbeek JAP, de Ruiter PC (2002) Stability in real food webs: Weak links in long loops. Science 296:1120-1123
47. Pimm SL (1984) The complexity and stability of ecosystems. Nature 307:321-326
48. Pimm SL, Lawton JH (1977) Number of trophic levels in ecological communities. Nature 268:329-331
49. Pimm SL, Lawton JH (1978) Feeding on more than one trophic level. Nature 275:542-544
50. Post DM (2002) The long and short of food-chain length. Trends Ecol Evol 17:269-277
51. Post DM, Conners ME, Goldberg DS (2000) Prey preference by a top predator and the stability of linked food chains. Ecology 81:8-14
52. Real LA (1977) The kinetics of functional response. Am Nat 111:289-300
53. Real LA (1978) Ecological determinants of functional response. Ecology 60:481-485
54. Rossberg AG, Matsuda H, Amemiya T, Itoh K (2006a) Food webs: Experts consuming families of experts. J Theor Biol 241:552-563
55. Rossberg AG, Matsuda H, Amemiya T, Itoh K (2006b) Some properties of the speciation model for food web structure - mechanisms for degree distribution. J Theor Biol 238:401-415
56. Skalski GT, Gilliam JF (2001) Functional responses with predator interference: Viable alternatives to the Holling Type II model. Ecology 82:3083-3092
57. Stouffer DB, Camacho J, Guimera R, Ng CA, Amaral LAN (2005) Quantitative patterns in the structure of model and empirical food webs. Ecology 86:1301-1311
58. Stouffer DB, Camacho J, Jiang W, Amaral LAN (2007) Evidence for the existence of a robust pattern of prey selection in food webs. Proc R Soc Lond B Biol Sci 274:1931-1940
59. Thompson RM, Hemberg M, Starzomski BM, Shurin JB (2007) Trophic levels and trophic tangles: The prevalence of omnivory in real food webs. Ecology 88:612-617
60. Uchida S, Drossel B (2007) Relation between complexity and stability in food webs with adaptive behavior. J Theor Biol 247:713-722
61. Vandermeer J (2006) Omnivory and the stability of food webs. J Theor Biol 238:497-504
62. Williams RJ, Martinez ND (2000) Simple rules yield complex food webs. Nature 404:180-183
63. Williams RJ, Martinez ND (2004a) Limits to trophic levels and omnivory in complex food webs: Theory and data. Am Nat 163:458-468
64. Williams RJ, Martinez ND (2004b) Stabilization of chaotic and non-permanent food-web dynamics. Eur Phys J B 38:297-303
65. Williams RJ, Berlow EL, Dunne JA, Barabasi AL, Martinez ND (2002) Two degrees of separation in complex food webs. Proc Natl Acad Sci USA 99:12913-12916
66. Williams RJ, Brose U, Martinez ND (2007) Homage to Yodzis and Innes 1992: Scaling up feeding-based population dynamics to complex ecological networks. In: Rooney N, McCann KS, Noakes DIG (eds) From energetics to ecosystems: The dynamics and structure of ecological systems. Springer, New York
67. Yodzis P (1981) The stability of real ecosystems. Nature 289:674-676
68. Yodzis P, Innes S (1992) Body size and consumer-resource dynamics. Am Nat 139:1151-1175
69. Yoshida K (2003) Dynamics of evolutionary patterns of clades in a food web system model. Ecol Res 18:625-637