Dynamic observers for unknown populations

Christopher Guiver, Nathan Poppelreiter, Richard Rebarber, Brigitte Tenhumberg, Stuart Townley

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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.

Original languageEnglish
Pages (from-to)3279-3302
Number of pages24
JournalDiscrete and Continuous Dynamical Systems - Series B
Issue number6
Publication statusPublished - 30 Jun 2021


  • Adaptive management
  • Dynamic observer
  • Input-to-state stability
  • Lur'e system
  • Population ecology
  • Positive system

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics
  • Applied Mathematics


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