Limiting similarity, species packing, and system stability for hierarchical competition-colonization models

Ann Kinzig, S. A. Levin, J. Dushoff, S. Pacala

Research output: Contribution to journalArticle

96 Citations (Scopus)

Abstract

Hierarchical competition-colonization models have been used to explain limiting similarities among species, successional dynamics, and species toss under habitat destruction. This class of models assumes that there is an inverse relationship between competitive ability and colonization ability and that competitively superior species exclude competitively inferior species when both occupy the same site. This hierarchical model of performance trade-offs, however, exhibits some unusual behaviors in the high-diversity limit, including infinitesimally close species packing, pathologically slow dynamics, and fundamentally important regularities in trait-abundance relationships. In particular, under the condition of constant mortality across species, a 3/2-power-law relationship emerges between abundance and fecundity under infinite packing (abundance of a species with fecundity f is inversely proportional to f to the 3/2 power). In this article, we explore the high-diversity limit of the hierarchical competition-colonization model, with particular emphasis on patterns of species packing, species-abundance relationships, and system stability. Because of the potential for pathologically slow dynamics following perturbations and infinitesimally close species packing in the high-diversity limit for this class of models, the models may need to be modified to include more realistic mechanisms governing the extent and timing of interspecific competitive exclusion in order to effectively capture the structure and dynamics of real-world ecosystems.

Original languageEnglish (US)
Pages (from-to)371-383
Number of pages13
JournalAmerican Naturalist
Volume153
Issue number4
DOIs
StatePublished - 1999

Fingerprint

colonization
fecundity
competitive exclusion
habitat destruction
trade performance
competitive ability
ecosystems
power law
perturbation
mortality
ecosystem

Keywords

  • Competition-colonization trade-off
  • Ecosystem stability
  • Limiting similarity
  • Species packing

ASJC Scopus subject areas

  • Ecology

Cite this

Limiting similarity, species packing, and system stability for hierarchical competition-colonization models. / Kinzig, Ann; Levin, S. A.; Dushoff, J.; Pacala, S.

In: American Naturalist, Vol. 153, No. 4, 1999, p. 371-383.

Research output: Contribution to journalArticle

@article{814832a082a244ab9ecf0a51ae60d45b,
title = "Limiting similarity, species packing, and system stability for hierarchical competition-colonization models",
abstract = "Hierarchical competition-colonization models have been used to explain limiting similarities among species, successional dynamics, and species toss under habitat destruction. This class of models assumes that there is an inverse relationship between competitive ability and colonization ability and that competitively superior species exclude competitively inferior species when both occupy the same site. This hierarchical model of performance trade-offs, however, exhibits some unusual behaviors in the high-diversity limit, including infinitesimally close species packing, pathologically slow dynamics, and fundamentally important regularities in trait-abundance relationships. In particular, under the condition of constant mortality across species, a 3/2-power-law relationship emerges between abundance and fecundity under infinite packing (abundance of a species with fecundity f is inversely proportional to f to the 3/2 power). In this article, we explore the high-diversity limit of the hierarchical competition-colonization model, with particular emphasis on patterns of species packing, species-abundance relationships, and system stability. Because of the potential for pathologically slow dynamics following perturbations and infinitesimally close species packing in the high-diversity limit for this class of models, the models may need to be modified to include more realistic mechanisms governing the extent and timing of interspecific competitive exclusion in order to effectively capture the structure and dynamics of real-world ecosystems.",
keywords = "Competition-colonization trade-off, Ecosystem stability, Limiting similarity, Species packing",
author = "Ann Kinzig and Levin, {S. A.} and J. Dushoff and S. Pacala",
year = "1999",
doi = "10.1086/303182",
language = "English (US)",
volume = "153",
pages = "371--383",
journal = "American Naturalist",
issn = "0003-0147",
publisher = "University of Chicago",
number = "4",

}

TY - JOUR

T1 - Limiting similarity, species packing, and system stability for hierarchical competition-colonization models

AU - Kinzig, Ann

AU - Levin, S. A.

AU - Dushoff, J.

AU - Pacala, S.

PY - 1999

Y1 - 1999

N2 - Hierarchical competition-colonization models have been used to explain limiting similarities among species, successional dynamics, and species toss under habitat destruction. This class of models assumes that there is an inverse relationship between competitive ability and colonization ability and that competitively superior species exclude competitively inferior species when both occupy the same site. This hierarchical model of performance trade-offs, however, exhibits some unusual behaviors in the high-diversity limit, including infinitesimally close species packing, pathologically slow dynamics, and fundamentally important regularities in trait-abundance relationships. In particular, under the condition of constant mortality across species, a 3/2-power-law relationship emerges between abundance and fecundity under infinite packing (abundance of a species with fecundity f is inversely proportional to f to the 3/2 power). In this article, we explore the high-diversity limit of the hierarchical competition-colonization model, with particular emphasis on patterns of species packing, species-abundance relationships, and system stability. Because of the potential for pathologically slow dynamics following perturbations and infinitesimally close species packing in the high-diversity limit for this class of models, the models may need to be modified to include more realistic mechanisms governing the extent and timing of interspecific competitive exclusion in order to effectively capture the structure and dynamics of real-world ecosystems.

AB - Hierarchical competition-colonization models have been used to explain limiting similarities among species, successional dynamics, and species toss under habitat destruction. This class of models assumes that there is an inverse relationship between competitive ability and colonization ability and that competitively superior species exclude competitively inferior species when both occupy the same site. This hierarchical model of performance trade-offs, however, exhibits some unusual behaviors in the high-diversity limit, including infinitesimally close species packing, pathologically slow dynamics, and fundamentally important regularities in trait-abundance relationships. In particular, under the condition of constant mortality across species, a 3/2-power-law relationship emerges between abundance and fecundity under infinite packing (abundance of a species with fecundity f is inversely proportional to f to the 3/2 power). In this article, we explore the high-diversity limit of the hierarchical competition-colonization model, with particular emphasis on patterns of species packing, species-abundance relationships, and system stability. Because of the potential for pathologically slow dynamics following perturbations and infinitesimally close species packing in the high-diversity limit for this class of models, the models may need to be modified to include more realistic mechanisms governing the extent and timing of interspecific competitive exclusion in order to effectively capture the structure and dynamics of real-world ecosystems.

KW - Competition-colonization trade-off

KW - Ecosystem stability

KW - Limiting similarity

KW - Species packing

UR - http://www.scopus.com/inward/record.url?scp=0032922442&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0032922442&partnerID=8YFLogxK

U2 - 10.1086/303182

DO - 10.1086/303182

M3 - Article

VL - 153

SP - 371

EP - 383

JO - American Naturalist

JF - American Naturalist

SN - 0003-0147

IS - 4

ER -