Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, AB, Canada.
Department of Mathematics, Ohio State University, Columbus, OH, USA.
J Math Biol. 2023 Mar 15;86(4):54. doi: 10.1007/s00285-023-01890-z.
The paradox of the plankton highlights the apparent contradiction between Gause's law of competitive exclusion and the observed diversity of phytoplankton. It is well known that phytoplankton dynamics depend heavily on light availability. Here we treat light as a continuum of resources rather than a single resource by considering the visible light spectrum. We propose a spatially explicit reaction-diffusion-advection model to explore under what circumstance coexistence is possible from mathematical and biological perspectives. Furthermore, we provide biological context as to when coexistence is expected based on the degree of niche differentiation within the light spectrum and overall turbidity of the water.
浮游生物悖论突出了高斯竞争排除定律与浮游植物多样性观察结果之间明显的矛盾。众所周知，浮游植物动态受光可用性的影响很大。在这里，我们通过考虑可见光光谱，将光视为资源的连续体而不是单一资源。我们提出了一个空间显式的反应-扩散-对流模型，从数学和生物学的角度探索在什么情况下共存是可能的。此外，我们还根据光光谱内的生态位分化程度和水的整体浊度，提供了共存预期的生物学背景。
