Scheuerell Mark D
Fish Ecology Division, Northwest Fisheries Science Center, National Marine Fisheries Service, National Oceanic and Atmospheric Administration , Seattle, WA , United States.
PeerJ. 2016 Jan 25;4:e1623. doi: 10.7717/peerj.1623. eCollection 2016.
Stock-recruitment models have been used for decades in fisheries management as a means of formalizing the expected number of offspring that recruit to a fishery based on the number of parents. In particular, Ricker's stock recruitment model is widely used due to its flexibility and ease with which the parameters can be estimated. After model fitting, the spawning stock size that produces the maximum sustainable yield (S MSY) to a fishery, and the harvest corresponding to it (U MSY), are two of the most common biological reference points of interest to fisheries managers. However, to date there has been no explicit solution for either reference point because of the transcendental nature of the equation needed to solve for them. Therefore, numerical or statistical approximations have been used for more than 30 years. Here I provide explicit formulae for calculating both S MSY and U MSY in terms of the productivity and density-dependent parameters of Ricker's model.
在渔业管理中，种群补充模型已被使用了数十年，作为一种根据亲体数量来确定补充到渔业中的后代预期数量的正式方法。特别是，里克种群补充模型因其灵活性以及参数易于估计而被广泛使用。模型拟合后，产生渔业最大可持续产量（S MSY）的产卵种群规模以及与之对应的捕捞量（U MSY），是渔业管理者最感兴趣的两个最常见的生物学参考点。然而，由于求解这两个参考点所需方程的超越性质，迄今为止还没有明确的解决方案。因此，数值或统计近似方法已经使用了30多年。在此，我提供了根据里克模型的生产力和密度依赖参数来计算S MSY和U MSY的明确公式。
