Population-level effects of density dependence in a size-structured fishery model

S. R.J. Jang, S. L. Diamond

Research output: Contribution to journalArticle

3 Scopus citations

Abstract

A discrete size-structured fishery model is derived to study the population-level effects of the timing of density dependence. The inherent net reproductive number of an individual is the same if the population is assumed to be identical in every way except the occurrence of intraspecific competition. However, total population size may grow without any restriction if density dependence occurs at the second or the third size class. Data of red snapper with Beverton-Holt and Ricker nonlinearities are simulated to make further comparisons. The numerical study indicates that while the population is more resilient if density dependence occurs at the first size class the equilibrium size is larger if density dependence occurs at the second size class.

Original languageEnglish
Pages (from-to)133-155
Number of pages23
JournalApplied Mathematics and Computation
Volume139
Issue number1
DOIs
StatePublished - Jul 1 2003

Keywords

  • Density-dependence
  • Equilibrium resilience
  • Liapunov exponent
  • Net reproductive number

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