Possible ecosystem impacts of applying maximum sustainable yield policy in food chain models

Ghosh, Bapan; Kar, Tapan Kumar

doi:10.1016/j.jtbi.2013.03.014

Cited by 33 publications

(24 citation statements)

References 19 publications

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“…Last, but not least in the phase of a monotonically increasing harvesting rate, the steepness of the harvesting rate has a maximal 2 In addition to terrestrial populations, modeling of this kind has also examined marine ecosystems. The interactions between different tropical levels (krill/ whales), and the consequences for fishery management have thoroughly been studied over the past decades (Beddington & May, 1980;Brown, Berger, & Ikiara, 2005;Flaaten, 1991;Ghosh & Kar, 2013;Ghosh, Kar, & Legovic, 2014a;Hogarth, Norbury, Cunning, & Summers, 1992;Huang, Gong, & Ruan, 2013;May, Beddington, Clark, Holt, & Laws, 1979;Paul, Kar, & Ghorai, 2016). Models of the Lotka-Volterra type are also applied in other settings, for example, Vázquez and Watt (2011). slope.…”

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confidence: 99%

Pasture–livestock dynamics with density‐dependent harvest and changing environment

Bergland

Wyller

Burlakov

2019

Natural Resource Modeling

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We model pasture–livestock interactions by means of a predator–prey model, with the biomass vegetation as prey and the herbivores as predators. The harvesting rate is a sigmoidal function of the livestock density. We identify the necessary biological and harvest conditions for different equilibria of this model to exist. The system possesses no interior equilibrium points for the mortality rate exceeding a certain threshold. For the regime of low and moderate values of the mortality rate and a high consumption rate per animal, a unique finite and asymptotically stable state exists. We incorporate the effect of forage resource deterioration over time, causing extra decrease in the herbivore population and in the biomass density. We also include the effect of fluctuations in the availability of fodder by allowing for a seasonal periodic variation in the conversion efficiency. This results in extra oscillations superimposed on the general trends of the unperturbed system. Recommendations for Resource Managers Depending on biological and harvest conditions, the system possesses up to three equilibrium states. Forage resource deterioration over time causes an extra decrease in the herbivore population and in the biomass density. A seasonal periodic variation in the conversion efficiency results in oscillations mainly in the herbivore density superimposed on the general trends of the unperturbed system.

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confidence: 99%

Pasture–livestock dynamics with density‐dependent harvest and changing environment

Bergland

Wyller

Burlakov

2019

Natural Resource Modeling

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“…Two and three-dimensional model with linear harvesting and/or refuge, as well as harvesting with the habitat divided in two patches have been studied in [2,6,7,14]. A detailed study of the impact of harvesting in one or both species and its relationship to maximum sustainable yield is given in [4,8]. In this paper we consider a piecewise-linear threshold harvesting function (along with refuge) and compare the dynamics of the corresponding model with the one with only constant rate of harvesting.…”

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confidence: 99%

Dynamics of predator-prey models with refuge, harvesting and dispersal

Hare¹,

Rebaza²

2015

Quaestiones Mathematicae

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The dynamics of predator-prey models with different prey harvesting functions and prey refuge is studied. This study includes a three-dimensional model to account for the dispersal of prey to a habitat where it is unavailable to the predator. Besides local stability analysis, one central question is how harvesting, refuge and dispersal could directly affect the dynamics of the ecosystem, such as existence and dynamics of coexistence equilibria and periodic solutions. Theoretical and numerical methods are used to prove the existence and to study the role played by several bifurcations in the mathematical models. (2010): 37N25, 92D25. Mathematics Subject Classification

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“…Ghosh and Kar (2013a) suggested that harvesting of both prey and predator at MSTY level under combined effort may or may not eliminate the predator from the system. Ghosh and Kar (2013b) reported that harvesting of either species at MSY level is always a safe biological fishing policy, but combined harvesting effort to reach MSTY may cause the extinction of the prey species in generalist prey-predator system. More recently, Ghosh and Kar (2014) found that predator species may persist even for higher effort on prey species if the competition among the fishing boats and biotic potential of the prey species are higher.…”

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confidence: 99%

“…1. proposed that attempt to reach MSTY with equal harvesting effort on both prey and predator in traditional system will drive the predator to extinction, but Ghosh and Kar (2013b) observe that predator species may survive even in the case of fishing at MSTY level. Therefore, it is interesting to revisit the traditional system and establish a sound principle with the additional assumptions in .…”

Section: Introductionmentioning

confidence: 99%

Sustainability of exploited ecologically interdependent species

2014

Self Cite

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This paper examines the application of maximum sustainable yield (MSY) policy in ecosystem and indicates when the ecosystem based fisheries management approach is required for conservation purpose. To describe the possible impacts of applying global MSY policy in an ecosystem, we have considered both specialist and generalist prey-predator models with different fishing efforts. It is found that harvesting both prey and predator species in specialist prey-predator systems, to achieve global maximum sustainable total yield (MSTY) under independent efforts, will cause the extinction of the predator species. In contrast, the global MSTY may exist in a generalist preypredator system. If global MSTY does not exist, then it is due to the extinction of predator species. Hence, the prey species never goes to extinction under independent efforts and this scenario is quite different from the one found under combined harvesting effort.

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Possible ecosystem impacts of applying maximum sustainable yield policy in food chain models

Cited by 33 publications

References 19 publications

Pasture–livestock dynamics with density‐dependent harvest and changing environment

Pasture–livestock dynamics with density‐dependent harvest and changing environment

Dynamics of predator-prey models with refuge, harvesting and dispersal

Sustainability of exploited ecologically interdependent species

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