Matrix models for quantifying competitive intransitivity from species abundance data

Oikos

Volumn 123, Issue 9, 2014, Pages 1057-1070

  Ulrich, Werner ^a   Soliveres, Santiago ^b,c   Kryszewski, Wojciech ^a   Maestre, Fernando T ^b   Gotelli, Nicholas J ^d  

^a NICOLAUS COPERNICUS UNIVERSITY   (Poland)

^b UNIVERSIDAD REY JUAN CARLOS   (Spain)

^c UNIVERSITY OF BERN   (Switzerland)

^d UNIVERSITY OF VERMONT   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DIPTERA; FAGUS;

EID: 85015611272     PISSN: 00301299     EISSN: 16000706     Source Type: Journal    
DOI: 10.1111/oik.01217     Document Type: Article

References (61)

1. Allen J. C. et al. 1993. Chaos reduces species extinction by amplifying local population noise. – Nature 364: 229–232.
2. Allesina S.and Levine J. M. 2011. A competitive network theory of species diversity. – Proc. Natl Acad. Sci. USA 108: 5638–5642.
3. Baltzer H. et al. 1998. Cellular automata models for vegetation dynamics. – Ecol. Modell. 107: 113–125.
4. Beaver R. A. 1977. Non-equilibrium ‘island’ communities: Diptera breeding in dead slugs. – J. Anim. Ecol. 46: 783–798.
5. Bowker M. A.and Maestre F. T. 2012. Inferring local competition intensity from patch size distributions: a test using biological soil crusts. – Oikos 121: 1914–1922.
6. Bowker M. A. et al. 2010. Competition increases with abiotic stress and regulates the diversity of biological soil crusts. – J. Ecol. 98: 551–560.
7. Callaway R. M. 2007. Positive interactions and interdependence in plant communities. – Springer.
8. Chesson P. 2000. Mechanisms of maintenance of species diversity. – Annu. Rev. Ecol. Syst. 31: 343–366.
9. Connell J. H.and Slatyer R. O. 1977. Mechanisms of succession in natural communities and their role in community stability and organization. – Am. Nat. 111: 1119–1144.
10. Diamond J. M. 1975. Assembly of species communities. – In: Cody M. L. and Diamond J. M. (eds), Ecology and evolution of communities. Harvard Univ. Press, pp. 342–444.
11. Engel E. C.and Wetzin J. F. 2008. Can community composition be predicted from pairwise species interactions?– Plant Ecol. 195: 77–85.
12. Fox J. W. 2013. The intermediate disturbance hypothesis should be abandoned. – Trends Ecol. Evol. 28: 86–92.
13. Fugère V. et al. 2012. Testing the stress-gradient hypothesis with aquatic detritivorous invertebrates: insights for biodiversity–ecosystem functioning research. – J. Anim. Ecol. 81: 1259–1267.
14. Gause G. F. 1934. The struggle for existence. – Williams and Wilkins, Baltimore.
15. Gilpin M. E. 1975. Limit cycles in competition communities. – Am. Nat. 109: 51–60.
16. Gotelli N. J. 2008. A primer of ecology, 4th edn. – Sinauer.
17. Gotelli N. J.and Graves G. R. 1996. Null models in ecology. – Smithsonian Inst. Press.
18. Gotelli N. J.and Ulrich W. 2012. Statistical challenges in null model analysis. – Oikos 121: 171–180.
19. Grace J. B. et al. 1993. The examination of a competition matrix for transitivity and intransitive loops. – Oikos 68: 91–98.
20. Hanski I. 1987. Carrion fly community dynamics: patchiness, seasonality and coexistence. – Ecol. Entomol. 12: 257–266.
21. Horn H. S. 1975. Markovian properties of forest succession. – In: Cody M. L. and Diamond J. M. (eds), Ecology and evolution of communities. Harvard Univ. Press, pp. 196–211.
22. Hubbell S. P. 2001. The unified neutral theory of biogeography and biodiversity. – Princeton Univ. Press.
23. Huisman J. et al. 2001. Towards a solution of the plankton paradox: the importance of physiology and life history. – Ecol. Lett. 4: 408–411.
24. Kawai T.and Tokeshi M. 2007. Testing the facilitation – competition paradigm under the stress-gradient hypothesis: decoupling multiple stress factors. – Proc. R. Soc. B 274: 2503–2508.
25. Keddy P. A.and Shipley B. 1989. Competitive hierarchies in herbaceous plant communities. – Oikos 54: 234–241.
26. Kerr B. et al. 2002. Local dispersal promotes biodiversity in a real-life game of rock–paper–scissors. – Nature 418: 171–174.
27. Laird R. A.and Schamp B. S. 2006. Competitive intransitivity promotes species co-existence. – Am. Nat. 168: 182–193.
28. Laird R. A.and Schamp B. S. 2008. Does local competition increase the coexistence of species in intransitive networks?– Ecology 89: 237–247.
29. Laird R. A.and Schamp B. S. 2009. Species coexistence, intransitivity, and topological variation in competitive tournaments. – J. Theor. Biol. 256: 90–95.
30. Levine J. M. 1999. Indirect facilitation: evidence and predictions from a riparian community. – Ecology 80: 1762–1769.
31. Levine J. M.and Rees M. 2002. Coexistence and relative abundance in annual plant assemblages: the roles of competition and colonization. – Am. Nat. 160: 452–467.
32. Lortie C. J. et al. 2004. Rethinking plant community theory. – Oikos 107: 433–438.
33. May R. M.and Leonard W. J. 1975. Nonlinear aspects of competition between three species. – SIAM J. Appl. Math. 29: 243–253.
34. McAuliffe J. R. 1988. Markovian dynamics of simple and complex desert plant communities. – Am. Nat. 131: 459–490.
35. Meserve P. L. et al. 1996. Role of biotic interactions in a small mammal assemblage in semiarid Chile. – Ecology 77: 133–148.
36. Miller T. E.and Werner P. A. 1987. Competitive effects and responses between plant species in a first-year old field community. – Ecology 68: 1201–1210.
37. Ovaskainen O. et al. 2010. Modeling species co-occurrence by multivariate logistic regression generates new hypotheses on fungal interactions. – Ecology 91: 2514–2521.
38. Paine R. T. 1984. Ecological determinism in the competition for space. – Ecology 65: 1339–1348.
39. Peschke K. et al. 1987. Ecological separation, functional relationships, and limiting resources in a carrion insect community. – Zool. Jahrb. Syst. 114: 241–265.
40. Petraitis P. S. 1979. Competitive networks and measures of intransitivity. – Am. Nat. 114: 921–925.
41. Pritchard J. K. et al. 2000. Inference of population structure using multilocus genotype data. – Genetics 155: 945–959.
42. Reichenbach T. et al. 2007Mobility promotes and jeopardizes biodiversity in rock–paper–scissors games. – Nature 448: 1046–1049.
43. Rojas-Echenique J. R.and Allesina S. 2011. Interaction rules affect species coexistence in intransitive networks. – Ecology 92: 1174–1180.
44. Shipley B. 1993. A null model for competitive hierarchies in competition matrices. – Ecology 74: 1693–1699.
45. Silvertown J.and Dale P. 1991. Competitive hierarchies and the structure of herbaceous plant communities. – Oikos 61: 441–444.
46. Silvertown J. et al. 1999. Hydrologically-defined niches reveal a basis for species-richness in plant communities. – Nature 400: 61–63.
47. Soliveres S. et al. 2011. Microhabitat amelioration and reduced competition among understorey plants as drivers of facilitation across environmental gradients: towards a unifying framework. – Persp. Plant Ecol. Evol. Syst. 13: 247–258.
48. Staniczenko P. P. A. et al. 2013. The ghost of nestedness in ecological networks. – Nat. Commun. 4: 1391.
49. Stone L.and Roberts A. 1990. The checkerboard score and species distributions. – Oecologia 85: 74–79.
50. Tilman D. 1988. Plant strategies and the dynamics and structure of plant communities. – Monogr. Popul. Biol. 26. Princeton Univ. Press.
51. Tilman D. 1994. Competition and biodiversity in spatially-structured habitats. – Ecology 75: 2–16.
52. Ulrich W. 1999. Species composition, coexistence and mortality factors in a carrion-exploiting community composed of necrophagous Diptera and their parasitoids (Hymenoptera). – Pol. J. Ecol. 47: 49–72.
53. Ulrich W. 2001. Hymenopteren in einem Kalkbuchenwald: Eine Modellgruppe zur Untersuchung von Tiergemeinschaften und ökologischen Raum-Zeit-Mustern. – Schriftenreihe des Forschzentrums Waldökosysteme A 171. Göttingen.
54. Ulrich W. 2011. Turnover – a Fortran program for the analysis of species associations. – .
55. Ulrich W. 2013. Transitivity – a Fortran program for the analysis of bivariate competitive interactions. – .
56. Ulrich W.and Gotelli N. J. 2010. Null model analysis of species associations using abundance data. – Ecology 91: 3384–3397.
57. Ulrich W.and Gotelli N. J. 2013. Pattern detection in null model analysis. – Oikos 122: 2–18.
58. Ulrich W. et al. 2012. Null model tests for niche conservatism, phylogenetic assortment and habitat filtering. – Meth. Ecol. Evol. 3: 930–939.
59. Webb C. O. et al. 2002. Phylogenies and community ecology. – Annu. Rev. Ecol. Syst. 33: 475–505.
60. Worm B.and Karez R. 2002. Competition, coexistence and diversity in rocky shores. – In: Sommer U. and Worm B. (eds), Competition and coexistence. Springer, pp. 133–163.
61. Zaplata M. K. et al. 2013. Species-driven phases and increasing structure in early-successional plant communities. – Am. Nat. 181: E17–E27.