4.0 Article

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

Journal

THEORETICAL POPULATION BIOLOGY
Volume 103, Issue -, Pages 60-70

Publisher

ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.tpb.2015.04.004

Keywords

Stage-structured biomass model; Consumer-resource interactions; Ontogenetic niche shift; Seasonal reproduction; Semi-discrete dynamics; Alternative stable states

Funding

  1. China Scholarship Council [2011682007]

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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. (C) 2015 Elsevier Inc. All rights reserved.

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