论文标题
海洋鱼类招募波动的对称性破裂：莱维稳定法律及其他
Broken symmetry of recruitment fluctuations in marine fishes: Lévy-stable laws and beyond
论文作者
论文摘要
招聘是通过将随机后代组合得出进入人群的招聘来计算的，在该人群中，汇总数量（即产卵人口规模）也是一个随机过程。先验，尚不清楚个体的生殖变异性会对监测人群的总措施产生重大影响。通常，这些变化在大量人群中平均，而总产出仅受气候和渔业等人群环境障碍的影响。但是，如果单个后代数字的分布是重尾，则此类论点会崩溃。在一个具有指数$ 1 <α<2 $的幂律后代数量分布的世界中，招聘分布在尾部具有推定的幂律制度，并具有相同的$α$。问题是，在环境驱动的人口波动下，个人生殖变异性在多大程度上可能对招聘产生明显的影响。考虑到嵌入在随机变化的环境中的Lévy稳定波动来回答这个问题。我报告说，在整个北大西洋的商业开发的鱼类种群招募时，波动缩放和不对称波动。募集标准偏差的线性缩放水平与招聘水平的线性偏差意味着个体生殖变异性由人口波动主导。完全不对称的（向右偏斜）字符是生殖成功的特质变化的迹象。
Recruitment is calculated by summing random offspring-numbers entering the population, where the number of summands (i.e. spawning population size) is also a random process. A priori, it is not clear that individual reproductive variability would have a significant impact on aggregate measures for monitoring populations. Usually these variations are averaged out in a large population, and the aggregate output is merely influenced by population-wide environmental disturbances such as climate and fisheries. However, such arguments break down if the distribution of the individual offspring numbers is heavy-tailed. In a world with power-law offspring-number distribution with exponent $1<α<2$, the recruitment distribution has a putative power-law regime in the tail with the same $α$. The question is to what extent individual reproductive variability can have a noticeable impact on the recruitment under environmentally driven population fluctuations. This question is answered by considering the Lévy-stable fluctuations as embedded in a randomly varying environment. I report fluctuation scaling and asymmetric fluctuations in recruitment of commercially exploited fish stocks throughout the North Atlantic. The linear scaling of recruitment standard deviation with recruitment level implies that the individual reproductive variability is dominated by population fluctuations. The totally asymmetric (skewed to the right) character is a sign of idiosyncratic variation in reproductive success.
