Bounds on the dynamics of sink populations with noisy immigration
Eager, Eric Alan
Hodgson, David J.
Theoretical Population Biology
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).
EPSRC (Engineering and Physical Sciences Research Council)
Copyright © 2014 Elsevier. NOTICE: this is the author’s version of a work that was accepted for publication in Theoretical Population Biology. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Theoretical Population Biology Vol. 92 (2014), DOI: 10.1016/j.tpb.2013.12.004
Vol. 92, pp. 88-96