Fisheries managers use biological reference points (BRPs) as targets or limits on fishing and biomass to maintain productive levels of fish stock biomass. There are multiple ways to calculate BRPs when biological parameters are time varying. Using summer flounder (Paralichthys dentatus) as a case study, we investigated time-varying approaches in concert with climate-linked population models to understand the impact of environmentally driven variability in natural mortality, recruitment, and size-at-age on two commonly used BRPs $[B0(t)$ and F_35%(⁠$t$⁠)]. We used the following two approaches to calculate time-varying BRPs: dynamic-BRP and moving-average-BRP. We quantified the variability and uncertainty of different climate dependencies and estimation approaches, attributed BRP variation to variation in life-history processes, and evaluated how using different approaches impacts estimates of stock status. Results indicate that the dynamic-BRP approach using the climate-linked natural mortality model produced the least variable reference points compared to others calculated. Summer flounder stock status depended on the estimation approach and climate model used. These results emphasize that understanding climate dependencies is important for summer flounder reference points and perhaps other species, and careful consideration is warranted when considering what time-varying approach to use, ideally based upon simulation studies within a proposed set of management procedures.

中文翻译：

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在气候相关的人口动力学模型中计算时变生物学参考点的多种方法的比较

渔业管理人员使用生物参考点（BRP）作为捕捞和生物量的目标或限制，以维持鱼类种群生物量的生产水平。当生物学参数随时间变化时，有多种计算BRP的方法。以夏季比目鱼（Paralichthys dentatus）为例，我们与气候相关的人口模型一起研究了时变方法，以了解环境驱动的自然死亡率，募集和年龄变化对两种常用变量的影响BRPs$[乙0（Ť）$和F _35％（⁠$Ť$⁠）]。我们使用以下两种方法来计算随时间变化的BRP：动态BRP和移动平均BRP。我们量化了不同气候依赖性和估算方法的变异性和不确定性，将BRP的变化归因于生命历史过程的变化，并评估了使用不同方法如何影响种群状况的估算。结果表明，与气候相关的自然死亡率模型相比，动态BRP方法产生的可变参考点与其他计算得出的参考点最少。夏季比目鱼种群状况取决于估算方法和所使用的气候模型。这些结果强调，了解气候依赖性对于夏季比目鱼参考点和其他物种可能很重要，在考虑使用哪种时变方法时应谨慎考虑，