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Alternative stable states in a stage-structured consumer–resource biomass model with niche shift and seasonal reproduction

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  • Sun, Zepeng
  • de Roos, André M.

Abstract

We formulate and analyze a stage-structured consumer–resource biomass model, in which consumers reproduce in a pulsed event at the beginning of a growing season and furthermore go through a niche shift during their life history. We show that the resulting semi-discrete model can exhibit two stable states that can be characterized as a development-controlled state and a reproduction-controlled state. Varying resource availabilities and varying the extent of the niche shift determines whether juveniles or adults are more limited by their resource(s) and can lead to switches between the alternative stable states. Furthermore, we quantify the persistence of the consumer population and the occurrence of the two alternative stable states as a function of resource availabilities and extent of the niche shift. All the results show that irrespective of the type of reproduction of the consumers (continuous or seasonal), the stage-structured model will exhibit alternative stable states as long as development of the juvenile stage and reproduction of the adult stage are both resource-dependent.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:thpobi:v:103:y:2015:i:c:p:60-70
    DOI: 10.1016/j.tpb.2015.04.004
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    References listed on IDEAS

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    1. 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.
    2. Zhou, Can & Fujiwara, Masami & Grant, William E., 2013. "Dynamics of a predator–prey interaction with seasonal reproduction and continuous predation," Ecological Modelling, Elsevier, vol. 268(C), pages 25-36.
    3. Guill, Christian, 2009. "Alternative dynamical states in stage-structured consumer populations," Theoretical Population Biology, Elsevier, vol. 76(3), pages 168-178.
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