Multi-faceted approaches toward unravelling complex ecological networks

Population Ecology

Volumn 57, Issue 1, 2015, Pages 3-19

  Namba, Toshiyuki ^a  

^a Osaka Prefecture University   (Japan)

Author keywords

Complexity; Diversity; Ecological network; Interaction strength; Interaction type; Stability

Indexed keywords

EID: 84939985106     PISSN: 14383896     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10144-015-0482-5     Document Type: Article

References (191)

1. Aarssen LW (1997) High productivity in grassland ecosystem: effected by species or productive species? Oikos 80:183–184
2. Albert R, Jeong H, Barabási A-L (2000) Error and attack tolerance of complex networks. Nature 406:378–382
3. Allesina S, Tang S (2012) Stability criteria for complex ecosystems. Nature 483:205–208
4. Allesina S, Tang S (2015) The stability–complexity relationship at age 40: a random matrix perspective. Popul Ecol. doi:10.1007/s10144-014-0471-0
5. Amaral LAN, Scala A, Barthélémy M, Stanley HE (2000) Classes of small-world networks. Proc Natl Acad Sci USA 97:11149–11152
6. Amundsen P-A, Lafferty KD, Knudsen R, Primicerio R, Klemetsen A, Kuris AM (2009) Food web topology and parasites in the pelagic zone of a subarctic lake. J Anim Ecol 78:563–572
7. Bascompte J (2009) Disentangling the web of life. Science 325:416–419
8. Bascompte J, Jordano P (2007) Plant-animal mutualistic networks: the architecture of biodiversity. Annu Rev Ecol Evol Syst 38:567–593
9. Bascompte J, Jordano P, Melián CJ, Olesen JM (2003) The nested assembly of plant–animal mutualistic networks. Proc Natl Acad Sci USA 100:9383–9387
10. Bascompte J, Melián CJ, Sala E (2005) Interaction strength combinations and the overfishing of a marine food web. Proc Natl Acad Sci USA 102:5443–5447
11. Bascompte J, Jordano P, Olesen JM (2006) Asymmetric coevolutionary networks facilitate biodiversity maintenance. Science 312:431–433
12. Bastolla U, Fortuna MA, Pascual-García A, Ferrera A, Luque B, Bascompte J (2009) The architecture of mutualistic networks minimizes competition and increases biodiversity. Nature 458:1018–1020
13. Berlow EL (1999) Strong effects of weak interactions in ecological communities. Nature 398:330–334
14. Berlow EL, Neutel A-M, Cohen JE, de Ruiter PC, Ebenman B, 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 73:585–598
15. Borrvall C, Ebenman B, Jonssonn T (2000) Biodivesity lessens the risk of cascading extinction in model food webs. Ecol Lett 3:131–136
16. Briand F (1983) Environmental control of food web structure. Ecology 64:253–263
17. Briand F, Cohen JE (1984) Community food webs have scale-invariant structure. Nature 307:264–267
18. Brose U, Williams RJ, Martinez ND (2003) Comment on “foraging adaptation and the relationship between food-web complexity and stability”. Science 301:918
19. Brose U, Williams RJ, Martinez ND (2006) Allometric scaling enhances stability in complex food webs. Ecol Lett 9:1228–1236
20. Brown JH, Gillooly JF, Allen AP, Savage VM, West GB (2004) Toward a metabolic theory of ecology. Ecology 85:1771–1789
21. Camacho J, Guimerà R, Amaral LAN (2002) Robust patterns in food web structure. Phys Rev Lett 88:228102
22. Cattin M-F, Bersier L-F, Banašek-Richter C, Baltensperger R, Gabriel J-P (2004) Phylogenetic constraints and adaptation explain food-web structure. Nature 427:835–839
23. Chen H-W, Shao K-T, Liu CW-J, Lin W-H, Liu W-C (2011) The reduction of food web robustness by parasitism: fact and artefact. Int J Parasitol 41:627–634
24. Cody ML, Diamond JM (eds) (1975) Ecology and evolution of communities. Belknap Press, Cambridge
25. Cohen JE (1977a) Ratio of prey to predators in community food webs. Nature 270:165–167
26. Cohen JE (1977b) Food webs and the dimensionality of trophic niche space. Proc Natl Acad Sci USA 74:4533–4563
27. Cohen JE (1978) Food webs and niche space. Princeton Univ Press, Princeton
28. Cohen JE, Briand F (1984) Trophic links of community food webs. Proc Natl Acad Sci USA 81:4105–4109
29. Cohen JE, Newman CM (1985) A stochastic theory of community food webs. I. Models and aggregated data. Proc R Soc Lond B 324:421–448
30. Cohen JE, Palka ZJ (1990) A stochastic theory of community food webs. V. Intervality and triangulation in the trophic-niche overlap graph. Am Nat 135:435–463
31. Cohen JE, Briand F, Newmann CM (1990) Community food webs: data and theory. Biomathematics, vol 20. Springer-Verlag, Berlin
32. Cohen JE, Beaver RA, Cousins SH, De Angelis DL, Goldwasser L, Heong KL, Holt RD, Kohn AJ, Lawton JH, Martinez N, O’Malley R, Page LM, Patten BC, Pimm SL, Polis GA, Rejmánek M, Schoener TW, Schoenly K, Sprules WG, Teal JM, Ulanowicz RE, Warren PH, Wilbur HM, Yodzis P (1993) Improving food webs. Ecology 74:252–258
33. Connor EF, Simberloff D (1979) The assembly of species communities: chance or competition? Ecology 60:1132–1140
34. Cottingham KL, Brown BL, Lennon JT (2001) Biodiversity may regulate the temporal variability of ecological systems. Ecol Lett 4:72–85
35. De Angelis DL (1975) Stability and connectance in food web models. Ecology 56:238–243
36. de Ruiter PC, Neutel A-M, Moore JC (1995) Energetics, patterns of interaction strengths, and stability in real ecosystems. Science 269:1257–1260
37. Digel C, Curtsdotter A, Riede J, Klarner B, Brose U (2014) Unravelling the complex structure of forest soil food webs: higher omnivory and more trophic levels. Oikos 123:1157–1172
38. Doak DF, Bigger D, Harding EK, Marvier MA, O’Thompson D (1998) The statistical inevitability of stability-diversity relationships in community ecology. Am Nat 151:264–276
39. Dobson A, Lafferty KD, Kuris AM, Hechinger RF, Jetz W (2008) Homage to Linnaeus: how many parasites? Proc Natl Acad Sci USA 105:11482–11489
40. 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 Univ Press, Oxford, pp 27–86
41. Dunne JA, Williams RJ (2009) Cascading extinctions and community collapse in model food webs. Phil Trans R Soc B 364:1711–1723
42. Dunne JA, Williams RJ, Martinez ND (2002a) Food-web structure and network theory: the role of connectance and size. Proc Natl Acad Sci USA 99:12917–12922
43. Dunne JA, Williams RJ, Martinez ND (2002b) Network structure and biodiversity loss in food webs: robustness increases with connectance. Ecol Lett 5:558–567
44. Dunne JA, Brose U, Williams RJ, Martinez ND (2005) Modelling food-web dynamics: complexity-stability implications. In: Belgrano A, Scharler UM, Dunne J, Ulanowicz RE (eds) Aquatic food webs: an ecosystem approach. Oxford Univ Press, Oxford, pp 117–129
45. Dunne JA, Lafferty KD, Dobson AP, Hechinger RF, Kuris AM, Martinez ND, McLaughlin JP, Mouritsen KN, Poulin R, Reise K, Stouffer DR, Thieltges DW, Williams RJ, Zander CD (2013) Parasites affect food web structure primarily through increased diversity and complexity. PLoS Biol 11:e1001579
46. Elton CS (1958) The ecology of invasions by animals and plants. Methuen, London
47. Emmerson MC, Raffaelli D (2004) Predator-prey body size, interaction strength and the stability of a real food web. J Anim Ecol 73:399–409
48. Emmerson M, Yearsley JM (2004) Weak interactions, omnivory and emergent food-web properties. Proc R Soc Lond B 271:397–405
49. Fontaine C, Thébault E (2015) Comparing the conservatism of ecological interactions in plant–pollinator and plant–herbivore networks. Popul Ecol. doi:10.1007/s10144-014-0473-y
50. Fontaine C, Thébault E, Dajoz I (2009) Are insect pollinators more generalist than insect herbivores? Proc R Soc B 276:3027–3033
51. Fontaine C, Guimarães PR Jr, Kéfi S, Loeuille N, Memmott J, van der Putten WH, van Veen FJF, Thébault E (2011) The ecological and evolutionary implications of merging different types of networks. Ecol Lett 14:1170–1181
52. Gallopin GC (1972) Structural properties of food webs. In: Patten BC (ed) Systems analysis and simulation in ecology, vol 2. Academic Press, New York, pp 241–282
53. Gardner MR, Ashby WR (1970) Connectance of large, dynamical (cybernetic) systems: critical values for stability. Nature 228:784
54. Gilpin ME (1975) Stability of feasible predator-prey systems. Nature 254:137–139
55. Gilpin ME (1979) Spiral chaos in a predator-prey model. Am Nat 113:306–308
56. Goodman D (1975) The theory of diversity-stability relationships in ecology. Q Rev Biol 50:237–266
57. Heckmann L, Drossel B, Brose U, Guill C (2012) Interactive effects of body-size structure and adaptive foraging on food-web stability. Ecol Lett 15:243–250
58. Hector A, Schmid B, Beierkuhnlein C, Caldeira MC, Diemer M, Dimitrakopoulos PG, Finn JA, Freitas H, Giller PS, Good J, Harris R, Hógberg P, Huss-Danell K, Joshi J, Jumpponen A, Körner C, Leadley PW, Loreau M, Minns A, Mulder CPH, O’Donovan G, Otway SJ, Pereira JS, Prinz A, Read DJ, Scherer-Lorenzen M, Schulze E-D, Siamantziouras A-SD, Spehn EM, Terry AC, Troumbis AY, Woodward FI, Yachi S, Lawton JH (1999) Plant diversity and productivity experiments in European grasslands. Science 286:1123–1127
59. Hofbauer J, Sigmund K (1988) The theory of evolution and dynamical systems: mathematical aspects of selection. Cambridge Univ Press, Cambridge
60. Holt RD (1977) Predation, apparent competition, and the structure of prey communities. Theor Popul Biol 12:197–229
61. Hsu SB, Hubbell SP, Waltman P (1978) A contribution to the theory of competing predators. Ecol Monogr 48:337–349
62. Huston MA (1997) Hidden treatments in ecological experiments: re-evaluating the ecosystem function of biodiversity. Oecologia 110:449–460
63. Huxham M, Raffaelli D, Pike A (1995) Parasites and food web structure. J Anim Ecol 64:168–176
64. Huxley JS (1932) Problems of relative growth. Methuen, London
65. Ings TC, Montoya JM, Bascompte J, Blüthgen N, Brown L, Dormann CF, Edwards F, Figueroa D, Jacob U, Jones JI, Lauridsen RB, Ledger ME, Lewis HM, Olesen JM, van Veen FFF, Warren PH, Woodward G (2009) Ecological networks—beyond food webs. J Anim Ecol 78:253–269
66. Jordano P (1987) Patterns of mutualistic interactions in pollination and seed dispersal: connectance, dependence asymmetries, and coevolution. Am Nat 129:657–677
67. Jordano P, Bascompte J, Olesen JM (2003) Invariant properties in coevolutionary networks of plant-animal interactions. Ecol Lett 6:69–81
68. Kalinkat G, Schneider FD, Digel C, Guill C, Rall BC, Brose U (2013) Body masses, functional responses and predator–prey stability. Ecol Lett 16:1126–1134
69. Kéfi S, Berlow EL, Wieters EA, Navarrete SA, Petchey OL, Wood SA, Boit A, Joppa LN, Lafferty KD, Williams RJ, Martinez ND, Menge BA, Blanchette CA, Iles AC, Brose U (2012) More than a meal… integrating non-feeding interactions into food webs. Ecol Lett 15:291–300
70. Kleiber M (1932) Body size and metabolism. Hilgardia 6:315–332
71. Kondoh M (2003a) Foraging adaptation and the relationship between food-web complexity and stability. Science 299:1388–1391
72. Kondoh M (2003b) Response to comment on “foraging adaptation and the relationship between food-web complexity and stability”. Science 301:918
73. Kondoh M (2008) Building trophic modules into a persistent food web. Proc Natl Acad Sci USA 105:16631–16635
74. Kondoh M, Mougi A (2015) Interaction-type diversity hypothesis and interaction strength: the condition for the positive complexity-stability effect to arise. Popul Ecol. doi:10.1007/s10144-014-0475-9
75. Kuris AM, Hechinger RF, Shaw JC, Whitney KL, Aguirre-Macedo L, Boch CA, Dobson AP, Dunham EJ, Fredensborg BL, Huspeni TC, Lorda J, Manabe L, Mancini FT, Mora AB, Pickering M, Talhouk NL, Torchin ME, Lafferty KD (2008) Ecosystem energetic implications of parasite and free-living biomass in three estuaries. Nature 454:515–518
76. Lafferty KD, Kuris AM (2009) Parasites reduce food web robustness because they are sensitive to secondary extinction as illustrated by an invasive estuarine snail. Phil Trans R Soc B 364:1659–1663
77. Lafferty KD, Dobson AP, Kuris AM (2006) Parasite dominate food web links. Proc Natl Acad Sci USA 103:11211–11216
78. Lafferty KD, Allesina S, Arim M, Briggs CJ, De Leo G, Dobson AP, Dunne JA, Johnson PTJ, Kuris AM, Marcogliese DJ, Martinez ND, Memmott J, Marquet PA, McLaughlin JP, Mordecai EA, Pascual M, Poulin R, Thieltges DW (2008) Parasites in food webs: the ultimate missing links. Ecol Lett 11:533–546
79. Law R, Morton RD (1993) Alternative permanent states of ecological communities. Ecology 74:1347–1361
80. Lawlor LR (1978) A comment on randomly constructed model ecosystems. Am Nat 112:445–447
81. Lawton JH (1989) Food webs. In: Cherrett JM (ed) Ecological concepts. Blackwell Scientific, Oxford, pp 43–78
82. León JA, Tumpson DB (1975) Competition between two species for two complementary or substitutable resources. J Theor Biol 50:185–201
83. Loreau M (1998) Biodiversity and ecosystem functioning: a mechanistic model. Proc Natl Acad Sci USA 95:5632–5636
84. Loreau M (2000) Biodiversity and ecosystem functioning: recent theoretical advances. Oikos 91:3–17
85. Loreau M, Naeem S, Inchausti P, Bengtsson J, Grime JP, Hector A, Hooper DU, Huston MA, Raffaelli D, Schmid B, Tilman D, Wardle DA (2001) Biodiversity and ecosystem functioning: current knowledge and future challenges. Science 294:804–808
86. Lundgren JR, Maybee JS (1985) Food webs with interval competition graph. In: Harary F, Maybee JS (eds) Graph and applications: proceedings of the first Colorado symposium on graph theory. John Wiley and Sons, New York, pp 245–256
87. MacArthur RH (1955) Fluctuations of animal populations and a measure of community stability. Ecology 36:533–536
88. MacArthur RH (1972) Geographical ecology: patterns in the distribution of species. Harper and Row, New York
89. MacDonald N (1979) Simple aspects of foodweb complexity. J Theor Biol 80:577–588
90. Marcogliese DJ, Cone DK (1997) Food webs: a plea for parasites. Trends Ecol Evol 12:320–325
91. Martinez ND (1991) Artifacts or attributes? Effects of resolution on the Little Rock Lake food web. Ecol Monogr 61:367–392
92. 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 Univ Press, Oxford, pp 163–185
93. Matsuda H, Namba T (1991) Food web graph of a coevolutionarily stable community. Ecology 72:267–276
94. May RM (1972) Will a large complex system be stable? Nature 238:413–414
95. May RM (1973) Stability and complexity in model ecosystems. Princeton Univ Press, Princeton
96. May RM, Leonard WJ (1975) Nonlinear aspects of competition between three species. SIAM J Appl Math 29:243–253
97. McCann KS (2000) The diversity-stability debate. Nature 405:228–233
98. McCann KS, Hastings A (1997) Re-evaluating the omnivory-stability relationship in food webs. Proc R Soc Lond B 264:1249–1254
99. McCann KS, Hastings AG, Huxel R (1998) Weak trophic interactions and the balance of nature. Nature 395:794–798
100. McMurtrie RE (1975) Determinants of stability of large randomly constructed systems. J Theor Biol 50:1–11
101. McNaughton SJ (1977) Diversity and stability of ecological communities: a comment on the role of empiricism in ecology. Am Nat 111:515–525
102. Melián CJ, Bascompte J, Jordano P, Křivan V (2009) Diversity in a complex ecological network with two interaction types. Oikos 118:122–130
103. Montoya JM, Pimm SL, Solé RV (2006) Ecological networks and their fragility. Nature 442:259–264
104. Mougi A, Kondoh M (2012) Diversity of interaction types and ecological community stability. Science 337:349–351
105. Naeem S, Thompson LJ, Lawler SP, Lawton JH, Woodfin RM (1994) Declining biodiversity can alter the performance of ecosystems. Nature 368:734–737
106. Namba T, Tanabe K, Maeda N (2008) Omnivory and stability of food webs. Ecol Complex 5:73–85
107. Neutel A-M, Heesterbeek JAP, de Ruiter PC (2002) Stability in real food webs: weak links in long loops. Science 296:1120–1123
108. Neutel A-M, Heesterbeek JAP, van de Koppel J, Hoenderboom G, Vos A, Kaldeway C, Berendse F, de Ruiter PC (2007) Reconciling complexity with stability in naturally assembling food webs. Nature 449:599–602
109. Okuyama T, Holland JN (2008) Network structural properties mediate the stability of mutualistic communities. Ecol Lett 11:208–216
110. Otto SB, Rall BC, Brose U (2007) Allometric degree distributions facilitate food-web stability. Nature 450:1226–1229
111. Paine RT (1966) Food web complexity and species diversity. Am Nat 100:65–75
112. Paine RT (1969) A note on trophic complexity and community stability. Am Nat 103:91–93
113. Paine RT (1980) Food webs: linkage, interaction strength and community infrastructure. J Anim Ecol 49:667–685
114. Paine RT (1992) Food web analysis through field measurement of per capita interaction strength. Nature 355:73–75
115. Peters RH (1983) The ecological implications of body size. Cambridge Univ Press, Cambridge
116. Pimm SL (1979a) The structure of food webs. Theor Popul Biol 16:144–158
117. Pimm SL (1979b) Complexity and stability: another look at MacArthur’s original hypothesis. Oikos 33:351–357
118. Pimm SL (1980) Food web design and the effect of species deletion. Oikos 35:139–149
119. Pimm SL (1982) Food webs. Chapman and Hall, London. Reprinted from Univ of Chicago Press, Chicago in 2002 with a new Foreword
120. Pimm SL, Lawton JH (1977) The number of trophic levels in ecological communities. Nature 268:329–331
121. Pimm SL, Lawton JH (1978) On feeding on more than one trophic level. Nature 275:542–544
122. Pimm SL, Lawton JH, Cohen JE (1991) Food web patterns and their consequences. Nature 350:669–674
123. Polis GA (1991) Complex trophic interactions in deserts: an empirical critique of food-web theory. Am Nat 138:123–155
124. Polis G, McCormick S (1986) Scorpions, spiders and solpugids: predation and competition among distantly related taxa. Oecologia 71:111–116
125. Polis G, McCormick S (1987) Intraguild predation and competition among desert scorpions. Ecology 68:323–343
126. Polis GA, Myers CA, Holt RD (1989) The ecology and evolution of intraguild predation: potential competitors that eat each other. Annu Rev Ecol Syst 20:297–330
127. Post WM, Pimm SI (1983) Community assembly and food web stability. Math Biosci 64:169–192
128. Poulin R, Morand S (2000) The diversity of parasites. Q Rev Biol 75:277–293
129. Rejmánek M, Starý P (1979) Connectance in real biotic communities and critical values for stability of model ecosystems. Nature 280:311–313
130. Roberts A (1974) The stability of a feasible random ecosystem. Nature 251:607–608
131. Roberts A, Tregonning K (1980) The robustness of natural systems. Nature 288:265–266
132. Robinson JV, Valentine WD (1979) The concepts of elasticity, invulnerability and invadability. J Theor Biol 81:91–104
133. Rudolf VHW, Lafferty KD (2011) Stage structure alters how complexity affects stability of ecological networks. Ecol Lett 14:75–79
134. Sauve AMC, Fontaine C, Thébault E (2014) Structure-stability relationships in networks combining mutualistic and antagonistic interactions. Oikos 123:378–384
135. Schulze E-D, Mooney HA (eds) (1993) Biodiversity and ecosystem function. Springer-Verlag, Berlin
136. Sibly RM, Brown JH, Kodric-Brown A (eds) (2012) Metabolic ecology: a scaling approach. Wiley-Blackwell, Chichester
137. Solé RV, Montoya JM (2001) Complexity and fragility in ecological networks. Proc R Soc Lond B 268:2039–2045
138. Sommers HJ, Crisanti A, Sompolinsky H, Stein Y (1988) Spectrum of large random asymmetric matrices. Phys Rev Lett 60:1895–1898
139. Stewart FM, Levin BR (1973) Partitioning of resources and the outcome of interspecific competition: a model and some general considerations. Am Nat 107:171–198
140. Stouffer DB, Camacho J, Guimerà R, Ng CA, Amaral LAN (2005) Quantitative patterns in the structure of model and empirical food webs. Ecology 86:1301–1311
141. Stouffer DB, Camacho J, Amaral LAN (2006) A robust measure of food web intervality. Proc Natl Acad Sci USA 103:19015–19020
142. Stouffer DB, Rezende EL, Amaral LAN (2011) The role of body mass in diet contiguity and food-web structure. J Anim Ecol 80:632–639
143. Strogatz SH (2001) Exploring complex networks. Nature 410:268–276
144. Strong DR, Simberloff D, Abele LG, Thistle AB (eds) (1984) Ecological communities: conceptual issues and the evidence. Princeton Univ Press, Princeton
145. Sugihara G (1982) Niche hierarchy: structure, organization and assembly in natural communities. Ph.D Dissertation, Princeton Univ, Princeton
146. Sugihara G (1984) Graph theory, homology and food webs. Proc Symp Appl Math 30:83–101
147. Suweis S, Grilli J, Martian A (2013) Effects of mixing interaction types on ecological community stability. arXiv:1301.1569 (q-bio.PE)
148. Suweis S, Grilli J, Martian A (2014) Disentangling the effect of hybrid interactions and of the constant effort hypothesis on ecological community stability. Oikos 123:525–532
149. Tanabe K, Namba T (2005) Omnivory creates chaos in simple food web models. Ecology 86:3411–3414
150. Tang S, Pawar S, Allesina S (2014) Correlation between interaction strengths drives stability in large ecological networks. Ecol Lett 17:1094–1100
151. Tao T, Vu V, Krishnapur M (2010) Random matrices: universality of ESDs and the circular law. Ann Probab 38:2023–2065
152. Thébault E, Fontaine C (2008) Does asymmetric specialization differ between mutualistic and trophic networks? Oikos 117:555–563
153. Thébault E, Fontaine C (2010) Stability of ecological communities and the architecture of mutualistic and trophic networks. Science 329:853–856
154. Thébault E, Loreau M (2003) Food-web constraints on biodiversity-ecosystem functioning relationships. Proc Natl Acad Sci USA 100:14949–14954
155. Thébault E, Loreau M (2005) Trophic interactions and the relationship between species diversity and ecosystem stability. Am Nat 166:E95–E114
156. Tilman D (1980) A graphical-mechanistic approach to competition and predation. Am Nat 116:362–393
157. Tilman D (1996) Biodiversity: population versus ecosystem stability. Ecology 77:350–363
158. Tilman D (1999) The ecological consequences of changes in biodiversity: a search for general principles. Ecology 80:1455–1474
159. Tilman D, Downing JA (1994) Biodiversity and stability in grasslands. Nature 367:363–365
160. Tilman D, Lehman CL, Thomson KT (1997) Plant diversity and ecosystem productivity: theoretical considerations. Proc Natl Acad Sci USA 94:1857–1861
161. Tilman D, Lehman CL, Bristow CE (1998) Diversity-stability relationships: statistical inevitability or ecological consequence? Am Nat 151:277–282
162. Tilman D, Isbell F, Cowles JM (2014) Biodiversity and ecosystem functioning. Annu Rev Ecol Evol Syst 45:471–493
163. Toju H (2015) High-throughput DNA barcoding for ecological network studies. Popul Ecol. doi:10.1007/s10144-014-0472-z
164. Toju H, Yamamoto S, Sato H, Tanabe AS, Gilbert GS, Kadowaki K (2013a) Community composition of root-associated fungi in a Quercus-dominated temperate forest: “codominance” of mycorrhizal and root-endophytic fungi. Ecol Evol 3:1281–1293
165. Toju H, Sato H, Yamamoto S, Kadowaki K, Tanabe AS, Yazawa S, Nishimura O, Agata K (2013b) How are plant and fungal communities linked to each other in belowground ecosystem? A massively parallel pyrosequencing analysis of the association specificity of root-associated fungi and their host plants. Ecol Evol 3:3112–3124
166. Toju H, Yamamoto S, Sato H, Tanabe AS (2013c) Sharing of diverse mycorrhizal and root-endophytic fungi among plant species in an oak-dominated cool-tempereature forest. PLoS ONE 8:e78248
167. Toju H, Sato H, Tanabe AS (2014a) Diversity and spatial structure of belowground plant-fungal symbiosis in a mixed subtropical forest of ectomycorrhizal and arbuscular mycorrhizal plants. PLoS ONE 9:e86566
168. Toju H, Guimarães PR, Olesen JM, Thompson JN (2014b) Assembly of complex plant-fungus networks. Nat Commun 5:5273
169. Tokita K (2004) Species abundance patterns in complex evolutionary dynamics. Phys Rev Lett 93:178102
170. Tokita K (2006) Statistical mechanics of relative species abundance. Ecol Inform 1:315–324
171. Tokita K (2015) Analytical theory of species abundance distributions of a random community model. Popul Ecol. doi:10.1007/s10144-014-0476-8
172. Tokita K, Yasutomi A (2003) Emergence of a complex and stable network in a model ecosystem with extinction and mutation. Theor Popul Biol 63:131–146
173. Tregonning K, Roberts A (1979) Complex systems which evolve towards homeostasis. Nature 281:563–564
174. van der Heijden MGA, Bardgett RD, van Stralen NM (2008) The unseen majority: soil microbes as drivers of plant diversity and productivity in terrestrial ecosystems. Ecol Lett 11:296–310
175. Vance RR (1978) Predation and resource partitioning in one predator-two prey model community. Am Nat 112:797–813
176. Vitousek PM, Hooper DU (1993) Biological diversity and terrestrial ecosystem biogeochemistry. In: Schulze E-D, Mooney HA (eds) Biodiversity and ecosystem function. Springer-Verlag, Berlin, pp 3–14
177. Warren PH (1989) Spatial and temporal variation in the structure of a freshwater food web. Oikos 55:299–311
178. Waser NM, Chittka L, Price MV, Williams NM, Ollerton J (1996) Generalization in pollination systems, and why it matters. Ecology 77:1043–1060
179. Watts DJ, Strogatz SH (1998) Collective dynamics of ‘small-world’ networks. Nature 393:440–442
180. Whitfield J (2006) In the beat of a heart: life, energy, and the unity of nature. Joseph Henry Press, Washington, DC
181. Wiens JA (1977) On competition and variable environments. Am Sci 65:590–597
182. Williams RJ, Martinez ND (2000) Simple rules yield complex food webs. Nature 404:180–183
183. Williams RJ, Martinez ND (2004) Stabilization of chaotic and non-permanent food-web dynamics. Eur Phys J B 38:297–303
184. Winemiller KD (1990) Spatial and temporal variation in tropical fish trophic networks. Ecol Monogr 60:331–367
185. Wootton JT, Emmerson M (2005) Measurement of interaction strength in nature. Annu Rev Ecol Evol Syst 36:419–444
186. Yodzis P (1981a) The stability of real ecosystems. Nature 289:674–676
187. Yodzis P (1981b) The structure of assembled communities. J Theor Biol 92:103–117
188. Yodzis P, Innes S (1992) Body size and consumer-resource dynamics. Am Nat 139:1151–1175
189. Yoshino Y, Galla T, Tokita K (2007) Statistical mechanics and stability of a model eco-system. J Stat Mech 2007:P09003
190. Yoshino Y, Galla T, Tokita K (2008) Rank abundance relations in evolutionary dynamics of random replicators. Phys Rev E 78:031924
191. Zook AE, Eklof A, Jacob U, Allesina S (2011) Food webs: ordering species according to body size yields high degree of intervality. J Theor Biol 271:106–113