The dynamics of a size-structured intraspecific competition model with density dependent juvenile growth rates

Research output: Chapter in Book/Report/Conference proceedingChapter

1 Scopus citations

Abstract

The dynamics of a size-structured population in which adult fertility correlates with body size, and in which adult body size at maturation is dependent (through competitive effects) upon population density during juvenile growth, are studied. A simple discrete model for a population with one juvenile size class and two adult size classes, one consisting of larger and more fertile individuals than the other, is derived and analyzed. The competitive effects on juvenile growth are separated into those due to competition from other juveniles and those due to adults. Parameter regions are determined in which the dynamics equilibrate, approach 2-cycles, or result in chaotic oscillations. The results suggest that intra-specific competition of this kind between juveniles and adults is destabilizing for either small or very large inherent net reproductive rates, strong competitive effects tending to result in a synchronous 2-cycle in which juveniles and adults avoid competition. For intermediate values of the inherent net reproductive rate, however, intra-specific competition has a stabilizing influence, promoting equilibration where there would otherwise be chaotic oscillations.

Original languageEnglish (US)
Title of host publicationIndividual-Based Models and Approaches in Ecology
Subtitle of host publicationPopulations, Communities and Ecosystems
PublisherCRC Press
Pages112-125
Number of pages14
ISBN (Electronic)9781351081917
ISBN (Print)0412031612, 9781315894362
DOIs
StatePublished - Jan 1 2018

ASJC Scopus subject areas

  • Mathematics(all)

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    Cushing, J. M., & Li, J. (2018). The dynamics of a size-structured intraspecific competition model with density dependent juvenile growth rates. In Individual-Based Models and Approaches in Ecology: Populations, Communities and Ecosystems (pp. 112-125). CRC Press. https://doi.org/10.1201/9781351073462