Consumption threshold used to investigate stability and ecological dominance in consumer-resource dynamics

Collins, Obiora Cornelius; Duffy, Kevin J.

doi:10.1016/j.ecolmodel.2015.03.021

Cited by 10 publications

(13 citation statements)

References 14 publications

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“…To simplify the analyses we assume that each consumer uses a unique resource. However, similar results are indicated when consumers use more than one resource (Collins and Duffy, []). We introduce competition terms

δ_{i j}

that describe how the resources compete for space.…”

Section: Introductionsupporting

confidence: 66%

“…We use a threshold quantity (consumption number denoted by C 0 ) that gives a condition under which the equilibrium points of the system are stable. This quantity is similar to the basic reproduction number

R_{0}

(van den Driessche and Watmough, []) in epidemiological models and C 0 is calculated in the same way using the next generation matrix approach (Collins and Duffy, []):

C_{0} = max {C_{1}, C_{2}},

…”

Section: Consumer Resource Multiple Species Coexistence Model For N=2mentioning

confidence: 99%

“…To investigate this idea we develop a mathematical model incorporating MSC in the form of ordinary differential equations. A threshold quantity, the consumption number C 0 , defined by us to quantify resource consumption per equivalent of consumer biomass, is used to highlight multiple species effects on population dynamics (Collins and Duffy, []).…”

Section: Introductionmentioning

confidence: 99%

“…Reduction of Y i due to other factors /year us to quantify resource consumption per equivalent of consumer biomass, is used to highlight multiple species effects on population dynamics (Collins and Duffy, [2016]).…”

mentioning

confidence: 99%

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Understanding Multiple Species Ecosystem Dynamics Using a Consumer Resource Model

Collins

Duffy

2016

Natural Resource Modeling

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Most ecological systems comprise multiple species coexisting and the dynamics of these multiple species can be important for understanding, management, and conservation. One method to study such ecological system dynamics is the use of heterogeneous models. Here we formulate and analyze a multiple species (n patches or groups) consumer resource model. Initial insights are gained by analyzing the special cases n=1 and n=2. A threshold consumption number C0 is used to investigate system stability and hence the long‐term dynamics of the system. It is shown how this threshold consumption number can measure the effects and extent of multiple species coexistence in the system.

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δ_{i j}

that describe how the resources compete for space.…”

Section: Introductionsupporting

confidence: 66%

R_{0}

(van den Driessche and Watmough, []) in epidemiological models and C 0 is calculated in the same way using the next generation matrix approach (Collins and Duffy, []):

C_{0} = max {C_{1}, C_{2}},

…”

Section: Consumer Resource Multiple Species Coexistence Model For N=2mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

mentioning

confidence: 99%

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Understanding Multiple Species Ecosystem Dynamics Using a Consumer Resource Model

Collins

Duffy

2016

Natural Resource Modeling

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“…Dominant species are the small number of species that significantly affect other species (McNaughton & Wolf, 1970; Whittaker, 1965). Due to their high biomass, large size, high productivity, and other traits (Bouchenak‐Khelladi, Slingsby, Verboom, & Bond, 2014; Collins & Duffy, 2016), they can change environmental conditions and resource availability and thus shape community structure (Frieswyk, Johnston, & Zedler, 2007; Okullo, Greve, & Moe, 2013), community diversity (Kunte, 2008; Okullo et al., 2013), community phylogeny (Chalmandrier, Münkemüller, Lavergne, & Thuiller, 2015), trophic structure (Miller, Brodeur, Rau, & Omori, 2010), and ecosystem functions (Behera et al., 2017; Furey, Tecco, Perez‐Harguindeguy, Giorgis, & Grossi, 2014; Grime, 1998; Mokany, Ash, & Roxburgh, 2008; Seabloom et al., 2015). Both dominant species and keystone species are functionally important, but keystone species are much less abundant (Christianou & Ebenman, 2005; Hurlbert, 1997; Mouquet, Gravel, Massol, & Calcagno, 2013; Power et al., 1996).…”

Section: Introductionmentioning

confidence: 99%

Are dominant plant species more susceptible to leaf‐mining insects? A case study at Saihanwula Nature Reserve, China

Dai

Long

et al. 2018

Ecology and Evolution

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Dominant species significantly affect interspecific relationships, community structure, and ecosystem function. In the field, dominant species are often identified by their high importance values. Selective foraging on dominant species is a common phenomenon in ecology. Our hypothesis is that dominant plant groups with high importance values are more susceptible to leaf‐mining insects at the regional level. Here, we used the Saihanwula National Nature Reserve as a case study to examine the presence–absence patterns of leaf‐mining insects on different plants in a forest‐grassland ecotone in Northeast China. We identified the following patterns: (1) After phylogenetic correction, plants with high importance values are more likely to host leafminers at the species, genus, or family level. (2) Other factors including phylogenetic isolation, life form, water ecotype, and phytogeographical type of plants have different influences on the relationship between plant dominance and leafminer presence. In summary, the importance value is a valid predictor of the presence of consumers, even when we consider the effects of plant phylogeny and other plant attributes. Dominant plant groups are large and susceptible targets of leaf‐mining insects. The consistent leaf‐mining distribution pattern across different countries, vegetation types, and plant taxa can be explained by the “species‐area relationship” or the “plant apparency hypothesis.”

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Movement, competition and pattern formation in a two prey–one predator food chain model

2017

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Consumption threshold used to investigate stability and ecological dominance in consumer-resource dynamics

Cited by 10 publications

References 14 publications

Understanding Multiple Species Ecosystem Dynamics Using a Consumer Resource Model

Understanding Multiple Species Ecosystem Dynamics Using a Consumer Resource Model

Are dominant plant species more susceptible to leaf‐mining insects? A case study at Saihanwula Nature Reserve, China

Movement, competition and pattern formation in a two prey–one predator food chain model

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