AI 中文总结
研究收获对异质种群的影响，通过重复收获事件引导随机过程及捕食者 - 猎物模型概率密度演化，发现移除密度上下部可分别使系统达准稳态、固定形状并产生有效漂移，揭示外部干预操纵随机种群动态的可能性。
AI 中文摘要
收获，即定期移除高于或低于阈值性状值的个体，可重塑异质种群而不改变其潜在随机动态。我们研究了重复收获事件如何引导呈现正常和反常动态的随机过程类以及一个典型捕食者 - 猎物模型的概率密度演化。从‘收获时钟’角度看，移除密度上部使系统达到准稳态，此状态仅取决于收获阈值和频率而非初始条件。移除密度下部则固定其形状并产生超过未收获均值的恒定有效漂移。我们的结果表明通过外部选择干预操纵随机种群动态的可能性。
英文摘要
Harvesting -- the periodic removal of individuals above or below a threshold trait value -- reshapes heterogeneous populations without altering their underlying stochastic dynamics. We study how repeated harvesting events steer the evolution of probability densities for classes of stochastic processes exhibiting both normal and anomalous dynamics, as well as a prototypical predator-prey model. Removal of the upper portion of the density drives the system to a quasi-steady state when viewed at the ``harvesting clock''. This state depends only on the harvesting threshold and frequency but not on the initial conditions. Removal of the lower portion of the density fixes its shape while generating a constant effective drift that exceeds that of the unharvested mean. Our results suggest the possibility of manipulating the dynamics of stochastic populations through external selection interventions.
Comments10 pages, 6 figures
