Abstract

The dynamics of fish populations, even for simple classes of reproductive functions, can be quite complex (up to the manifestation of chaotic regimes). The following problem arises: how will the population behavior change when optimal long-term fishing is imposed on it? The fundamental properties of the corresponding annual catch are defined and justified. On their basis, for the first time, an unexpected result was strictly substantiated: population dynamics are greatly simplified under optimal fishing, and, in particular, chaos is transformed into a monotonic tendency of fish numbers to balance.

中文翻译：

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种群动态中的最优收获与混沌

摘要

鱼类种群的动态，即使对于简单的繁殖功能类别来说，也可能相当复杂（直至出现混乱状态）。出现以下问题：当对种群实行最佳长期捕捞时，种群行为将如何变化？相应年度捕捞量的基本属性已被定义和合理化。在此基础上，首次严格证实了一个意想不到的结果：在最佳捕捞条件下，种群动态被大大简化，特别是，混沌转化为鱼类数量平衡的单调趋势。