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- W2048657881 abstract "The logistic equation was originally intended to describe only the growth of a population as a function of time. However, when it is used to trace the time development of a population in an environment with a fluctuating carrying capacity, the equation must describe both its growth and diminution. It is suggested that it may not be realistic to use the same rate constant for both an increasing and decreasing population since reproduction rates and death rates are independent and can be quite different. Three numerical experiments are carried out to examine the effects of distinguishing between the two rates. In the first experiment, mean survival times are calculated with differing rates. The second experiment involves harvesting with constant effort, and the third deals with harvesting at constant yield. It is found that equating birth rates with death rates can give overly optimistic results: survival rates too long, or catches too high. Population levels and yields are also calculated as a function of the correlation time in the fluctuating carrying capacity. Population levels and harvesting yields can be sensitive functions of fluctuation amplitude, correlation time and the ratio of reproduction ratio to death rates when simple variations of the logistic equation are used as harvesting models." @default.
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- W2048657881 date "1987-02-01" @default.
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- W2048657881 title "Effect of certain stochastic parameters on extinction and harvested populations" @default.
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- W2048657881 doi "https://doi.org/10.1016/s0022-5193(87)80220-5" @default.
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