Bounds on the dynamics of sink populations with noisy immigration

Eric Alan Eager, Chris Guiver, Dave Hodgson, Richard Rebarber, Iain Stott, Stuart Townley

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Sink populations are doomed to decline to extinction in the absence of immigration. The dynamics of sink populations are not easily modelled using the standard framework of per capita rates of immigration, because numbers of immigrants are determined by extrinsic sources (for example, source populations, or population managers). Here we appeal to a systems and control framework to place upper and lower bounds on both the transient and future dynamics of sink populations that are subject to noisy immigration. Immigration has a number of interpretations and can fit a wide variety of models found in the literature. We apply the results to case studies derived from published models for Chinook salmon (Oncorhynchus tshawytscha) and blowout penstemon (Penstemon haydenii).

Original languageEnglish
Pages (from-to)88-96
Number of pages9
JournalTheoretical Population Biology
Early online date25 Dec 2013
Publication statusPublished - Mar 2014


  • Immigration
  • Input-to-state stability
  • Population ecology
  • Projection model
  • Sink population

ASJC Scopus subject areas

  • Ecology, Evolution, Behavior and Systematics


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