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首页> 外文期刊>Marine ecology progress series >Turbulent mixing and phytoplankton life history: a Lagrangian versus Eulerian model comparison
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Turbulent mixing and phytoplankton life history: a Lagrangian versus Eulerian model comparison

机译：湍流混合和浮游植物的生活史：拉格朗日与欧拉模型的比较

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摘要

Phytoplankton dynamics models follow either an Eulerian or a Lagrangian approach. The Eulerian formulation assumes that all individuals of a population living in homogeneous environmental conditions, i.e. within a model grid cell, are in a single average physiological state, which generally depends on local conditions. By tracking each individual cell or cluster of cells, the Lagrangian formulation allows population behaviour to emerge from a broader range of individual physiological states inherited from different life histories. In order to determine in which mixing conditions the widely used Eulerian approach differs from a more representative but also more computationally costly Lagrangian formulation, we compared the results obtained from a simple 1-dimensional phytoplankton growth model using both formulations under various mixing conditions. The chosen model is based on Droop kinetics, where growth is a function of light and an internal nutrient cell quota. It is applied in cases with constant and uniform diffusivity, and in more realistic cases of wind-induced and tidal mixing. The 2 main outcomes of our study are: (1) results from both formulations converge in weakly stratified environments for any level of turbulent mixing, and (2) results diverge in stratified environments and intermediate mixing up to a diffusivity value above which the environment appears homogeneous to moving cells, and both formulations converge. These results suggest that in heterogeneous and dynamic marine environments, strong variability among individuals may prevent Eulerian models from accurately predicting phytoplankton production.
机译：浮游植物动力学模型遵循欧拉或拉格朗日方法。欧拉公式假设生活在均质环境条件下（即在模型网格单元内）的所有人口处于单一的平均生理状态，该状态通常取决于局部条件。通过追踪每个单独的细胞或细胞簇，拉格朗日公式可以使种群行为从继承自不同生活史的更广泛的单个生理状态中显现出来。为了确定在哪种混合条件下广泛使用的欧拉方法不同于更具代表性但在计算上更昂贵的拉格朗日公式，我们比较了在两种混合条件下使用两种配方从简单的一维浮游植物生长模型获得的结果。选择的模型基于Droop动力学，其中生长是光照和内部营养细胞配额的函数。它适用于扩散常数恒定且均匀的情况，以及更实际的风和潮汐混合情况。我们研究的2个主要结果是：（1）两种配方的结果在弱分层环境中均能在任何水平的湍流混合下收敛；（2）在分层环境和中间混合中，结果差异很大，直到扩散率值出现在环境之上均质于移动的细胞，两种配方都收敛。这些结果表明，在异构和动态的海洋环境中，个体之间的强烈变异性可能会阻止欧拉模型准确预测浮游植物的产量。

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