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流动条件下群体遗传学和动力学的离散欧拉模型。

Discrete Eulerian model for population genetics and dynamics under flow.

机构信息

Department of Applied Physics, Eindhoven University of Technology, 5600 MB Eindhoven, The Netherlands and Department of Physics and INFN, University of Tor Vergata, Via della Ricerca Scientifica 1, I-00133 Rome, Italy.

Department of Physics and INFN, University of Tor Vergata, Via della Ricerca Scientifica 1, I-00133 Rome, Italy.

出版信息

Phys Rev E. 2019 Dec;100(6-1):062105. doi: 10.1103/PhysRevE.100.062105.

DOI:10.1103/PhysRevE.100.062105
PMID:31962443
Abstract

Marine species reproduce and compete while being advected by turbulent flows. It is largely unknown, both theoretically and experimentally, how population dynamics and genetics are changed by the presence of fluid flows. Discrete agent-based simulations in continuous space allow for accurate treatment of advection and number fluctuations, but can be computationally expensive for even modest organism densities. In this report, we propose an algorithm to overcome some of these challenges. We first provide a thorough validation of the algorithm in one and two dimensions without flow. Next, we focus on the case of weakly compressible flows in two dimensions. This models organisms such as phytoplankton living at a specific depth in the three-dimensional, incompressible ocean experiencing upwelling and/or downwelling events. We show that organisms born at sources in a two-dimensional time-independent flow experience an increase in fixation probability.

摘要

海洋物种在被紊流输运的同时进行繁殖和竞争。目前,无论是在理论上还是在实验中,人们对于流动对种群动态和遗传学的影响都知之甚少。在连续空间中进行离散的基于主体的模拟可以准确处理输运和数量波动,但即使对于适度的生物体密度,计算量也可能非常大。在本报告中,我们提出了一种算法来克服这些挑战。我们首先在没有流动的情况下对一维和二维情况的算法进行了全面验证。接下来,我们专注于二维弱可压缩流动的情况。这种情况模拟了生活在三维不可压缩海洋特定深度的浮游植物等生物体,这些生物体经历上升流和/或下降流事件。我们表明,在二维时间独立流中的源处出生的生物体的固定概率增加。

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