2015
DOI: 10.1016/j.tpb.2015.04.004
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Alternative stable states in a stage-structured consumer–resource biomass model with niche shift and seasonal reproduction

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… Show more

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Cited by 6 publications
(9 citation statements)
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“…Pulsed reproduction can cause similar effects to forcing, such as multiple year cycles, without explicit changes in environmental conditions. An example of this is found in [19] for a physiologically structured population.…”
Section: Introductionmentioning
confidence: 95%
“…Pulsed reproduction can cause similar effects to forcing, such as multiple year cycles, without explicit changes in environmental conditions. An example of this is found in [19] for a physiologically structured population.…”
Section: Introductionmentioning
confidence: 95%
“…At low resource densities ingestion may be not sufficient to cover the maintenance requirements of consumer individuals, in which case they will start to experience starvation mortality. As discussed in [ 18 ], we assume that maturation of juveniles as well as the energy storage for reproduction by adults halts when juveniles and adults starve, respectively. We therefore introduce the notations and to restrict the net biomass productivities per unit body mass for juveniles and adults, respectively, to non-negative values.…”
Section: Model Formulationmentioning
confidence: 99%
“…Throughout the growing season juvenile biomass increases through somatic growth of juveniles at mass-specific rate and decreases through mortality at rate d j ( R ) and through maturation. Maturation of juveniles is modeled as in [ 18 , 20 ] by a resource-dependent per capita maturation rate γ ( ν j ( R ), μ ) (see [ 20 ] for its derivation and justification). Here μ is the stage-independent background mortality rate of the consumer and ν j ( R ) is the mass-specific, net-biomass production rate.…”
Section: Model Formulationmentioning
confidence: 99%
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“…More recently, PSPMs have allowed reproduction to occur over longer discrete time intervals (Huss et al 2012;van Leeuwen et al 2013). More complex individual-based size-structured models have incorporated seasonal reproduction dynamics but focused either on a specific region geographically (Marzloff et al 2009) or on consumer-resource dynamics without the effects of predation on consumers (De Roos et al 2009;Sun and de Roos 2015).…”
Section: Introductionmentioning
confidence: 99%