摘要翻译：
相互作用种群的行为通常表现出不规则的时间和空间模式，很难与潜在的确定性动态相协调。一个典型的例子是浮游生物群落的异质性分布，在很大的空间和时间尺度上观察到这种分布是斑块状的。在这里，我们以浮游生物群落为原型系统，提出了分析湍流平流和随机增长在种群时空动力学中的联合效应的理论方法。将这两个因素结合到数学模型中，使描述更加真实，并与以前提出的基于反应扩散方程的模型相比，更好地符合实验数据。
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英文标题：
《Stochastic population dynamics in turbulent fields》
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作者：
M. H. Vainstein, J. M. Rubi and J. M. G. Vilar
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最新提交年份：
2007
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分类信息：

一级分类：Quantitative Biology        数量生物学
二级分类：Populations and Evolution        种群与进化
分类描述：Population dynamics, spatio-temporal and epidemiological models, dynamic speciation, co-evolution, biodiversity, foodwebs, aging; molecular evolution and phylogeny; directed evolution; origin of life
种群动力学；时空和流行病学模型；动态物种形成；协同进化；生物多样性；食物网；老龄化；分子进化和系统发育；定向进化；生命起源
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一级分类：Physics        物理学
二级分类：Statistical Mechanics        统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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英文摘要：
  The behavior of interacting populations typically displays irregular temporal and spatial patterns that are difficult to reconcile with an underlying deterministic dynamics. A classical example is the heterogeneous distribution of plankton communities, which has been observed to be patchy over a wide range of spatial and temporal scales. Here, we use plankton communities as prototype systems to present theoretical approaches for the analysis of the combined effects of turbulent advection and stochastic growth in the spatiotemporal dynamics of the population. Incorporation of these two factors into mathematical models brings an extra level of realism to the description and leads to better agreement with experimental data than that of previously proposed models based on reaction-diffusion equations.
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PDF链接：
https://arxiv.org/pdf/705.3195