Analysis of the self-shading effect on algal vertical distribution in natural waters
Analysis of the self-shading effect on algal vertical distribution in natural waters
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DOI：
10.1007/bf00276919
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发表时间：
1981-08
影响因子：
1.9
通讯作者：
N. Shigesada;A. Ōkubo
中科院分区：
文献类型：
--
作者：
N. Shigesada;A. Ōkubo
生长在水体中的藻类对光的自遮蔽在藻类水华的动力学中起着重要的作用。因此，如果没有自我遮蔽，藻类浓度将更快地增加，使营养限制过于强烈。除了自遮蔽的实际重要性之外，其在生长动力学中的固有非线性导致了一个有趣的数学问题，这需要详细的分析研究。我们的自遮蔽效应的数学模型包括垂直扩散，藻类沉降，总产量，和集体损失的藻类。用相平面法详细研究了模型方程的稳态解，并检验了其稳定性。最后讨论了藻类浓度的垂直分布。
Self-shading of light by algae growing in a column of water plays an important role in the dynamics of algal blooms. Thus without self-shading the algal concentration would increase more rapidly, making the nutrient limitation too strong. Apart from the practical importance of self-shading, its inherent nonlinearity in the growth dynamics leads to an interesting mathematical problem, which warrants detailed analytical investigation. Our mathematical model for the self-shading effect includes vertical diffusion, algal settling, gross production, and collective losses of algae. Steady-state solutions of the model equation are investigated in detail by the phase plane method, and their stability examined. Finally we discuss the vertical profile of algal concentration.