Biodiversity and species interactions: Extending Lotka-Volterra community theory

Ecology Letters

Volumn 6, Issue 10, 2003, Pages 944-952

  Wilson, W G ^a,b   Lundberg, P ^a,c   Vazquez D P ^a   Shurin, J B ^a,d   Smith, M D ^a   Langford, W ^a   Gross, K L ^a,e   Mittelbach, G G ^a,e  

^a NATIONAL CENTER FOR ECOLOGICAL ANALYSIS AND SYNTHESIS   (United States)

^b DUKE UNIVERSITY   (United States)

^c LUND UNIVERSITY   (Sweden)

^d UNIVERSITY OF BRITISH COLUMBIA   (Canada)

^e MICHIGAN STATE UNIVERSITY   (United States)

Author keywords

Community structure; Interaction strength; Invasive species; Lotka Volterra theory; Productivity; Species abundance

Indexed keywords

ABUNDANCE; BIODIVERSITY; BIOLOGICAL INVASION; COMMUNITY ECOLOGY; ECOLOGICAL THEORY; INTERSPECIFIC INTERACTION; LOTKA-VOLTERRA MODEL;

EID: 0141818183     PISSN: 1461023X     EISSN: None     Source Type: Journal    
DOI: 10.1046/j.1461-0248.2003.00521.x     Document Type: Article

References (40)

1. Abrams, P.A. (2001). A World without competition. Nature, 412, 858-859.
2. Bell, G. (2000). The distribution of abundance in neutral communities. Am. Nat., 155, 606-617.
3. Berlow, E.L. (1999). Strong effects of weak interactions in ecological communities. Nature, 398, 330-334.
4. Chave, J., Muller-Landau, H.C. & Levin, S.A. (2002). Comparing classical community models: theoretical consequences for patterns of diversity. Am. Nat., 159, 1-23.
5. Chesson, P. (2000). Mechanisms of maintenance of species diversity. Annu. Rev. Ecol. Syst., 31, 343-366.
6. Clark, J.S. & McLachlan, J.S. (2003). Stability of forest biodiversity. Nature, 423, 635-638.
7. Cornell, H.V. (1999). Unsaturation and regional influences on species richness in ecological communities: a review of the evidence. Ecoscience, 6, 303-315.
8. Drake, J.A. (1990). The mechanics of community assembly and succession. J. Theor. Biol., 147, 213-233.
9. Drake, J.A., Mooney, H.A., di Castri, F., Groves, R.H., Kruger, F.J., Rejmánek, M. & Williamson, M. (eds) (1989). Biological invasions: a global perspective. John Wiley & Sons, Tiptree, Essex, UK.
10. Gilpin, M.E. & Case, T.J. (1976). Multiple domains of attraction in competition communities. Nature, 261, 40-42.
11. Ginzburg, L.R., Akçakaya H.R. & Kim, J. (1988). Evolution of community structure: competition. J Theor. Biol., 133, 513-523.
12. Gough, L., Osenberg, C.W., Gross, K.L. & Collins, S.L. (2000). Fertilization effects on species density and primary productivity in herbaceous plant communities. Oikos, 89, 428-439.
13. Grime, J.P. (1973). Competitive exclusion in herbaceous vegetation. Nature, 242, 344-347.
14. Harte, J., Kinzig. A. & Green, J. (1999). Self-similarity in the distribution and abundance of species. Science, 284, 334-336.
15. Hubbell, S.P. (2001). A Unified Neutral Theory of Biodiversity and Biogeography. Princeton University Press, Princeton, NJ.
16. Huston, M. A. (1994). Biological Diversity: The Coexistence of Species on Changing Landscapes. Cambridge University Press, Cambridge.
17. Karlin, S., & Taylor, H.M. (1975). A first Course in Stochastic Processes, 2nd edn. Academic Press, San Diego.
18. Levine, J.M. & D'Antonio, C.M. (1999). Elton revisited: a review of the evidence linking diversity and invasibility. Oikos, 87, 15-26.
19. Lotka, A.J. (1925). Elements of Physical Biology. Williams and Wilkins, Baltimore.
20. McCann, K.S. (2000). The diversity-stability debate. Nature, 405, 228-233.
21. McCann K., Hastings A. & Huxel G.R. (1998) Weak trophic interactions and the balance of nature. Nature, 395, 794-797.
22. McGill, B.J. (2003a). A test of the unified neutral theory of biodiversity. Nature, 422, 881-885.
23. McGill, B.J. (2003b). Does Mother Nature really prefer rare species or are log-left-skewed SADs a sampling artifact? Ecol. Lett., 6, 766-773.
24. Mathews, J. & Walker, R.L. (1970). Mathematical Methods of Physics, 2nd edn. Benjamin/Cummins Publishing Co., Menlo Park, CA.
25. May, R.M. (1973). Stability and Complexity in Model Ecosystems. Princeton University Press, Princeton, NJ.
26. Menge, B.A. & Sutherland, J.P. (1987). Community regulation: variation in disturbance, competition, and predation in relation to environmental-stress and recruitment. Am. Nat., 130, 730-757.
27. Mittelbach, G.G., Steiner, C.F., Scheiner, S.M., Gross, K.L., Reynolds, H.L., Waide, R.B., Willig, M.R., Dodson, S.I. & Gough, L. (2001). What is the observed relationship between species richness and productivity? Ecology, 82, 2381-2396.
28. Mooney, H.A. & Hobbs, R.J. (eds) (2000) Invasive Species in a Changing World. Island Press, Washington, DC.
29. Nee, S, Harvey, P.H. & May, R.M. (1991). Lifting the veil on abundance patterns. Proc. Roy. Soc. Lond. B, 243, 161-163.
30. Pimm, S.L. (1982) Food webs. Chapman and Hall, London.
31. Rajaniemi, T.K. (2003). Explaining productivity-diversity relationships in plants. Oikos, 101, 449-457.
32. Ricklefs, R.E. (1987). Community diversity: relative roles of local and regional processes. Science, 235, 167-171.
33. Srivastava, D.S. (1999). Using local-regional richness plots to test for species saturation: pitfalls and potentials. J. Anim. Ecol., 68, 1-16.
34. Taylor, P.J. (1988a) Consistent scaling and parameter choice for linear and generalized Lotka-Volterra models used in community ecology. J. Theor. Biol., 135, 543-568.
35. Taylor, P.J. (1988b) The construction and turnover of complex community models having generalized Lotka-Volterra dynamics. J. Theor. Biol., 135, 569-588.
36. Tilman, D. (1988). Plant Strategies and the Dynamics and Structure of Plant Communities. Princeton University Press, Princeton, NJ.
37. Tregonning, K. & Roberts, A. (1979). Complex systems which evolve towards homeostasis. Nature, 281, 563-564.
38. Volterra, V. (1926). Fluctuations in the abundance of a species considered mathemtically. Nature, 118, 558-560.
39. Waide, R.B., Willig, M.R., Steiner, C.F., Mittelbach, G., Gough, L., Dodson, S.I., Juday, G.P. & Parmenter, R. (1999). The relationship between productivity and species richness. Annu. Rev. Ecol. Syst., 30, 257-300.
40. Williamson, M. (1996). Biological Invasions. Chapman & Hall, London.