Literature DB >> 4519647

Global models of growth and competition.

M E Gilpin, F J Ayala.   

Abstract

Very precise data on the dynamics of a competitive system of two species of Drosophila have been obtained. By a curvilinear regression approach, analytical models of competition have been fitted. By statistical and biological criteria of simplicity, reality, generality, and accuracy, the best of these models has been chosen. This model represents an extension of the Lotka-Volterra model of competition; it adds a fourth parameter that controls the degree of nonlinearity in intraspecific growth regulation. It represents a similar extension of the logistic model of population growth.

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Year:  1973        PMID: 4519647      PMCID: PMC427286          DOI: 10.1073/pnas.70.12.3590

Source DB:  PubMed          Journal:  Proc Natl Acad Sci U S A        ISSN: 0027-8424            Impact factor:   11.205


  3 in total

1.  Reinterpretation of the invalidation of the principle of competitive exclusion.

Authors:  M E Gilpin; K E Justice
Journal:  Nature       Date:  1972-04-07       Impact factor: 49.962

2.  Competition between species: theoretical models and experimental tests.

Authors:  F J Ayala; M E Gilpin; J G Ehrenfeld
Journal:  Theor Popul Biol       Date:  1973-09       Impact factor: 1.570

3.  Experimental invalidation of the principle of competitive exclusion.

Authors:  F J Ayala
Journal:  Nature       Date:  1969-12-13       Impact factor: 49.962

  3 in total
  39 in total

1.  Pattern of variation in avian population growth rates.

Authors:  Bernt-Erik Saether; Steinar Engen
Journal:  Philos Trans R Soc Lond B Biol Sci       Date:  2002-09-29       Impact factor: 6.237

Review 2.  Toward an ecological synthesis: a case for habitat selection.

Authors:  Douglas W Morris
Journal:  Oecologia       Date:  2003-04-11       Impact factor: 3.225

3.  Modelling non-additive and nonlinear signals from climatic noise in ecological time series: Soay sheep as an example.

Authors:  Nils Chr Stenseth; Kung-Sik Chan; Giacomo Tavecchia; Tim Coulson; Atle Mysterud; Tim Clutton-Brock; Bryan Grenfell
Journal:  Proc Biol Sci       Date:  2004-10-07       Impact factor: 5.349

4.  Density dependence: an ecological Tower of Babel.

Authors:  Salvador Herrando-Pérez; Steven Delean; Barry W Brook; Corey J A Bradshaw
Journal:  Oecologia       Date:  2012-05-31       Impact factor: 3.225

5.  The May threshold and life-history allometry.

Authors:  Lev R Ginzburg; Oskar Burger; John Damuth
Journal:  Biol Lett       Date:  2010-06-30       Impact factor: 3.703

6.  Density-dependent selection in a random environment: An evolutionary process that can maintain stable population dynamics.

Authors:  M Turelli; D Petry
Journal:  Proc Natl Acad Sci U S A       Date:  1980-12       Impact factor: 11.205

7.  Some strategies for harvesting a single species.

Authors:  G W Swan
Journal:  Bull Math Biol       Date:  1975-12       Impact factor: 1.758

8.  An evolutionary maximum principle for density-dependent population dynamics in a fluctuating environment.

Authors:  Russell Lande; Steinar Engen; Bernt-Erik Saether
Journal:  Philos Trans R Soc Lond B Biol Sci       Date:  2009-06-12       Impact factor: 6.237

9.  Principles of parametric estimation in modeling language competition.

Authors:  Menghan Zhang; Tao Gong
Journal:  Proc Natl Acad Sci U S A       Date:  2013-05-28       Impact factor: 11.205

10.  On evolutionary stability of carrying capacity driven dispersal in competition with regularly diffusing populations.

Authors:  L Korobenko; E Braverman
Journal:  J Math Biol       Date:  2013-10-22       Impact factor: 2.259

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