Application of a surplus production model to assess environmental impacts on exploited populations of Daphnia pulex in the laboratory

Jensen, A. L.; Marshall, J.S.

doi:10.1016/0143-1471(82)90143-x

Cited by 51 publications

(18 citation statements)

References 14 publications

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“…Some examples are oil pollution in the seas [19], degradation of forests [24,21], dumping of toxic waste in rivers and lakes [9,14] and the environmental fluctuation due to eutrophication in the Salton sea [3,7] causing pelican extinction.…”

Section: Introductionmentioning

confidence: 99%

Dynamical model of a single-species system in a polluted environment

Samanta

Maiti²

2004

JAMC

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Abstract. The effect of toxicants on ecological systems is an important issue from mathematical and experimental points of view. Here we have studied dynamical model of a single-species population-toxicant system. Two cases are studied : constant exogeneous input of toxicant and rapidly fluctuating random exogeneous input of toxicant into the environment. The dynamical behaviour of the system is analyzed by using deterministic linearized technique, Lyapunov method and stochastic linearization on the assumption that exogeneous input of toxicant into the environment behaves like 'Coloured noise'.

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Section: Introductionmentioning

confidence: 99%

Dynamical model of a single-species system in a polluted environment

Samanta

Maiti²

2004

JAMC

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“…This logistic surplus production model was developed by Volterra (1928), Hjort and others (1933), Graham (1935), and Schaefer (1954). It has been widely applied for stock assessment (Ricker 1975, Gulland 1972and 1977, Jensen 1976and 1978, Abramson and Tomlinson 1972, and MacCall and others 1976, for environmental impact assessment (Jensen 1982, Jensen andothers 1982), and for assessment of the impact of toxicants on populations Marshall 1982 and1983).…”

Section: The Modelsmentioning

confidence: 99%

Dynamics of fisheries that affect the population growth rate coefficient

Jensen

1984

Environmental Management

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/ Conventional surplus production models indicate that destruction of fish populations by overfishing is difficult, if not impossible, but catastrophic declines in abundance of exploited populations are common. Surplus production models also do not predict large continuing fluctuations in yield, but large fluctuations in yield are common. Conventional surplus production models assume that fisheries do not impact the population's capacity to increase, but changes in age structure or a decrease in age-specific fecundity resulting from fishing can decrease the coefficient of increase. A surplus production model is developed in which fishing reduces the capacity of a population to increase; the model is applied to describe the fluctuations observed in yield of lake herring (Coregonus artedii) from the upper Great Lakes. The fisheries of the Great Lakes were decimated by the combined effects of heavy fishing and a changing environment. For some species, yield increased to high levels and then the fisheries collapsed; for other species, yield and effort fluctuated greatly.Conventional surplus production models for management of fisheries indicate that fish populations are difficult to destroy through overexploitation (Pella and Tomlinson 1969), but many fish populations have collapsed and abundance often varies greatly as a result of heavy exploitation. For example, changes in the commercial fisheries of the Great Lakes have been dramatic, with wide fluctuations in yield and extinction of several species that were commercially important (Smith 1968, Christie 1974. There is a tendency to attribute such catastrophic variation in catch to environmental factors. This occurs in part, perhaps, because such events are not predicted by conventional fishery models. A minor modification in the logistic surplus production model, a modification in which fishing has an impact on the capacity of a population to increase, results in a model that predicts large fluctuations in yield. The new model is developed and its properties are compared with those of the logistic surplus production model. Both models are applied to describe the dynamics of the lake herring (Coregonus artedii) fishery in the upper Great Lakes.

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“…Most of the previous work assumed that input of toxicant was continuous. The toxicants, however, are often emitted to the environment with regular pulse [9]. A lot of data have indicated that the use of agriculture chemicals may cause potential harm to the health of both human beings and living beings.…”

Section: Introductionmentioning

confidence: 99%

A stage-structured single species model with pulse input in a polluted environment

Cai

2008

Nonlinear Dyn

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In this paper, we study a stage-structured single species model with pulse input in a polluted environment. Using the discrete dynamical system determined by the stroboscopic map, we obtain the globally attractive condition for the species-extinction periodic solution of the investigated system. By the use of the theory of impulsive delayed differential equation, we also obtain sufficient condition of the permanence of the investigated system. Our results reveal that long mature period of the population in polluted environment can cause it to go extinct.

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Application of a surplus production model to assess environmental impacts on exploited populations of Daphnia pulex in the laboratory

Cited by 51 publications

References 14 publications

Dynamical model of a single-species system in a polluted environment

Dynamical model of a single-species system in a polluted environment

Dynamics of fisheries that affect the population growth rate coefficient

A stage-structured single species model with pulse input in a polluted environment

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