Bounds on the dynamics of sink populations with noisy immigration

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

Theoretical Population Biology, 2014, vol. 92, issue C, 88-96

Abstract: 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).

Keywords: Population ecology; Projection model; Sink population; Immigration; Input-to-state stability (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:eee:thpobi:v:92:y:2014:i:c:p:88-96

DOI: 10.1016/j.tpb.2013.12.004

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