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Alternative dynamical states in stage-structured consumer populations

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  • Guill, Christian

Abstract

The population dynamics of a consumer population with an internal structure is investigated. The population is divided into juvenile and adult individuals that consume different resources and do not interfere with each other. Over a broad range of external conditions (varying mortality and different resource levels), alternative stable states exist. These population states correspond to domination of juveniles and domination of adults, respectively. When mortality is varied, hysteresis between the alternative states only occurs if juveniles have more resources than adults. In the opposite case the juvenile-dominated state is stable for all values of mortality, but the adult-dominated state is not. When the population is modelled with more than one juvenile stage, the adult-dominated state becomes a periodic orbit due to a delay in the regulatory mechanism of the population dynamics. It is shown numerically that the stage-structured model converges to a model with continuous size structure for very large numbers of successive juvenile stages.

Suggested Citation

  • Guill, Christian, 2009. "Alternative dynamical states in stage-structured consumer populations," Theoretical Population Biology, Elsevier, vol. 76(3), pages 168-178.
    • Handle: RePEc:eee:thpobi:v:76:y:2009:i:3:p:168-178
    DOI: 10.1016/j.tpb.2009.06.002
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    1. Marten Scheffer & Steve Carpenter & Jonathan A. Foley & Carl Folke & Brian Walker, 2001. "Catastrophic shifts in ecosystems," Nature, Nature, vol. 413(6856), pages 591-596, October.
    2. De Roos, André M. & Schellekens, Tim & Van Kooten, Tobias & Van De Wolfshaar, Karen & Claessen, David & Persson, Lennart, 2008. "Simplifying a physiologically structured population model to a stage-structured biomass model," Theoretical Population Biology, Elsevier, vol. 73(1), pages 47-62.
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    Cited by:

    1. Sun, Zepeng & de Roos, André M., 2015. "Alternative stable states in a stage-structured consumer–resource biomass model with niche shift and seasonal reproduction," Theoretical Population Biology, Elsevier, vol. 103(C), pages 60-70.
    2. Hartvig, Martin & Andersen, Ken Haste, 2013. "Coexistence of structured populations with size-based prey selection," Theoretical Population Biology, Elsevier, vol. 89(C), pages 24-33.

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