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Competition and species packing in patchy environments.

Publication ,  Journal Article
Buttel, LA; Durrett, R; Levin, SA
Published in: Theoretical population biology
May 2002

In models of competition in which space is treated as a continuum, and population size as continuous, there are no limits to the number of species that can coexist. For a finite number of sites, N, the results are different. The answer will, of course, depend on the model used to ask the question. In the Tilman-May-Nowak ordinary differential equation model, the number of species is asymptotically C log N with most species packed in at the upper end of the competitive hierarchy. In contrast, for metapopulation models with discrete individuals and stochastic spatial systems with various competition neighborhoods, we find a traditional species area relationship CN(a), with no species clumping along the phenotypic gradient. The exponent a is larger by a factor of 2 for spatially explicit models. In words, a spatial distribution of competitors allows for greater diversity than a metapopulation model due to the effects of recruitment limitation in their competition.

Duke Scholars

Published In

Theoretical population biology

DOI

EISSN

1096-0325

ISSN

0040-5809

Publication Date

May 2002

Volume

61

Issue

3

Start / End Page

265 / 276

Related Subject Headings

  • Stochastic Processes
  • Population Density
  • Models, Biological
  • Evolutionary Biology
  • Environment
  • Ecosystem
  • Competitive Behavior
  • 4901 Applied mathematics
  • 3104 Evolutionary biology
  • 3103 Ecology
 

Citation

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Buttel, L. A., Durrett, R., & Levin, S. A. (2002). Competition and species packing in patchy environments. Theoretical Population Biology, 61(3), 265–276. https://doi.org/10.1006/tpbi.2001.1569
Buttel, Linda A., Richard Durrett, and Simon A. Levin. “Competition and species packing in patchy environments.Theoretical Population Biology 61, no. 3 (May 2002): 265–76. https://doi.org/10.1006/tpbi.2001.1569.
Buttel LA, Durrett R, Levin SA. Competition and species packing in patchy environments. Theoretical population biology. 2002 May;61(3):265–76.
Buttel, Linda A., et al. “Competition and species packing in patchy environments.Theoretical Population Biology, vol. 61, no. 3, May 2002, pp. 265–76. Epmc, doi:10.1006/tpbi.2001.1569.
Buttel LA, Durrett R, Levin SA. Competition and species packing in patchy environments. Theoretical population biology. 2002 May;61(3):265–276.
Journal cover image

Published In

Theoretical population biology

DOI

EISSN

1096-0325

ISSN

0040-5809

Publication Date

May 2002

Volume

61

Issue

3

Start / End Page

265 / 276

Related Subject Headings

  • Stochastic Processes
  • Population Density
  • Models, Biological
  • Evolutionary Biology
  • Environment
  • Ecosystem
  • Competitive Behavior
  • 4901 Applied mathematics
  • 3104 Evolutionary biology
  • 3103 Ecology