Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, Canada.
J Biol Dyn. 2021 May;15(sup1):S3-S34. doi: 10.1080/17513758.2020.1771442. Epub 2020 May 27.
The turnover rate of producer biomass in aquatic ecosystems is generally faster than in terrestrial. That is, aquatic producer biomass grows, is consumed, and is replaced considerably faster than terrestrial. The WKL model describes the flow of phosphorus and carbon through a grazer-producer system, hence varying the model parameters allows for analysis of different ecosystems of this type. Here we explore the impacts of the intrinsic growth rate of the producer and the maximal ingestion rate of the grazer on these dynamics because these parameters determine turnover rate. Simulations show that for low intrinsic growth rate and maximal ingestion rate, the grazer goes extinct; for higher values of these parameters, coexistence occurs in oscillations. Sensitivity analysis reveals the relative importance of all parameters on asymptotic dynamics. Lastly, the impacts of changing these two parameters in the LKE model appears to be quantitatively similar to the impacts in the WKL model.
水生生态系统中生产者生物量的周转率通常比陆地快。也就是说，水生生产者生物量的生长、消耗和替代速度比陆地快得多。WKL 模型描述了磷和碳在食草动物-生产者系统中的流动，因此改变模型参数可以分析这种类型的不同生态系统。在这里，我们探讨了生产者的内在增长率和食草动物的最大摄食率对这些动态的影响，因为这些参数决定了周转率。模拟结果表明，对于低内在增长率和最大摄食率，食草动物会灭绝；对于这些参数的更高值，共存会出现振荡。敏感性分析揭示了所有参数对渐近动力学的相对重要性。最后，改变 LKE 模型中这两个参数的影响似乎与 WKL 模型中的影响在数量上相似。
