论文标题
在随机变化的环境中，在莱维稳定的海洋鱼类招募中的波动缩放率
Fluctuation scaling in Lévy-stable recruitment of marine fishes in randomly varying environments
论文作者
论文摘要
本文研究了随机变化的环境中招聘波动的缩放特性，对于具有极端生殖行为的丰富海洋物种。来自北大西洋的渔业股票招聘数据显示出波动缩放，标准偏差与股票平均招聘之间的比例。该比例涵盖了所研究范围内的五个数量级以上。线性缩放行为可能是跨股票归一化数据的普遍分布的迹象。鉴于这种猜想，证明Lévy稳定模型比对数正态模型更有效地描述了募集分布。护理专门解决随机变量随机总和的问题。招聘是通过将随机后代数字求和无限差异来计算的，其中汇总数量（即产卵人口规模）也是一个随机的过程，具有无限差异。
This paper studies the scaling properties of recruitment fluctuations in randomly varying environments, for abundant marine species with extreme reproductive behavior. Fisheries stock-recruitment data from the North Atlantic display fluctuation scaling, a proportionality between the standard deviation and the average recruitment among stocks. The proportionality covers over five orders of magnitude in the range studied. A linear-scaling behavior can be a sign of a universal distribution of the normalized data across stocks. In light of this conjecture, it is demonstrated that the Lévy-stable model offers a better effective description of the recruitment distribution than the log-normal model. Care is devoted to the problem of random sums of random variables. Recruitment is calculated by summing random offspring numbers with infinite variance, where the number of summands (i.e. spawning population size) is also a random process with infinite variance.
