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首页> 外文期刊>Applied Mathematics >Uncertainty in a Measurement of Density Dependence on Population Fluctuations
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Uncertainty in a Measurement of Density Dependence on Population Fluctuations

机译：人口波动对密度的依赖程度的不确定度

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This article discusses the question of how elasticity of the system is intertwined with external stochastic disturbances. The speed at which a displaced system returns to its equilibrium is a measure of density dependence in population dynamics. Population dynamics in random environments, linearized around the equilibrium point, can be represented by a Langevin equation, where populations fluctuate under locally stable (not periodic or chaotic) dynamics. I consider a Langevin model in discrete time, driven by time-correlated random forces, and examine uncertainty in locating the population equilibrium. There exists a time scale such that for times shorter than this scale the dynamics can be approximately described by a random walk; it is difficult to know whether the system is heading toward the equilibrium point. Density dependence is a concept that emerges from a proper coarse-graining procedure applied for time-series analysis of population data. The analysis is illustrated using time-series data from fisheries in the North Atlantic, where fish populations are buffeted by stochastic harvesting in a random environment.
机译：本文讨论了系统弹性如何与外部随机干扰交织的问题。流离失所系统恢复平衡的速度是人口动态中密度依赖性的度量。可以在Langevin方程中表示在平衡点附近线性化的随机环境中的种群动态，其中种群在局部稳定（而非周期性或混沌）的动态下波动。我考虑了由时间相关的随机力驱动的离散时间中的Langevin模型，并研究了确定种群平衡时的不确定性。存在一个时间标度，使得对于比该标度更短的时间，可以通过随机游走来近似地描述动力学。很难知道系统是否正在走向平衡点。密度相关性是一个概念，该概念源自用于人口数据时间序列分析的适当粗粒度过程。使用北大​​西洋渔业的时间序列数据说明了该分析，该区域的鱼类种群在随机环境中受到随机收获的影响。

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