A partial differential equation model of changing sizes and numbers in a cohort of juvenile fish

Donald L. DeAnglis, Peter A. Hackney, Jane C. Webb

Research output: Contribution to journalArticlepeer-review

15 Scopus citations

Abstract

Numbers and lengths of young crappie were measured over a 20-week period in a Tennessee River reservoir. From these data, the average length at the swimming interval and growth rate were computed. A partial differential equation model was formulated for changes in length distribution through time. The equation was solved analytically and this solution used to predict the numbers by length class through time, given an initial known recruitment or swim-up rate. The simulated numbers agreed in considerable detail with the observations, indicating that the model accurately reflected the basic population mechanics involved. This suggests the model can be used to predict impacts to the fish population of size-dependent mortality caused by man, such as impingement on power plant intake screens.

Original languageEnglish (US)
Pages (from-to)261-266
Number of pages6
JournalEnvironmental Biology of Fishes
Volume5
Issue number3
DOIs
StatePublished - Sep 1 1980

Keywords

  • Crappie
  • Growth
  • Larvae
  • Mathematical models
  • Mortality
  • Population
  • Reservoir
  • Stock

ASJC Scopus subject areas

  • Ecology
  • Aquatic Science

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