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Dynamic observers for unknown populations

Guiver, Chris; Poppelreiter, Nathan; Rebarber, Richard; Tenhumberg, Brigitte; Townley, Stuart


Nathan Poppelreiter

Richard Rebarber

Brigitte Tenhumberg

Stuart Townley


Dynamic observers are considered in the context of structured population modeling and management. Roughly, observers combine a known measured variable of some process with a model of that process to asymptotically reconstruct the unknown state variable of the model. We investigate the potential use of observers for reconstructing population distributions described by density-independent (linear) models and a class of density-dependent (nonlinear) models. In both the density-dependent and -independent cases, we show, in several ecologically reasonable circumstances, that there is a natural, optimal construction of these observers. Further, we describe the robustness these observers exhibit with respect to disturbances and uncertainty in measurement.

Journal Article Type Article
Acceptance Date Jun 15, 2020
Publication Date 2021-06
Deposit Date Jul 24, 2020
Publicly Available Date Jan 1, 2022
Journal Discrete and Continuous Dynamical Systems - Series B
Print ISSN 1531-3492
Publisher American Institute of Mathematical Sciences
Peer Reviewed Peer Reviewed
Volume 26
Issue 6
Pages 3279-3302
Keywords adaptive management, dynamic observer, input-to-state stability, Lur’e system, population ecology, positive system
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