异速生长标度在捕食系统中的应用
Applying allometric scaling to predator-prey systems
摘要：
在种群动力学中，数学模型通常包含太多的参数，难以测试。一种可靠地估计各种系统参数的方法将有助于我们从理论中获得更清晰的预测。在本文中，我们研究如何异速生长标度的一些生物量与动物质量可能是有用的参数化人口动力学模型。使用这种异速生长的比例，我们作出预测的比例，在现实的生态系统中的捕食者，我们试图估计的动物种群周期的长度作为质量的函数。我们的分析和数值计算结果证明，从一些生态系统的数据比较合理。这为更广泛地使用异速生长标度来简化种群动态的数学模型和做出可检验的预测铺平了道路。
英文摘要：
In population dynamics, mathematical models often contain too many parameters to be easily testable. A way to reliably estimate parameters for a broad range of systems would help us obtain clearer predictions from theory. In this paper, we examine how the allometric scaling of a number of biological quantities with animal mass may be useful to parameterise population dynamical models. Using this allometric scaling, we make predictions about the ratio of prey to predators in real ecosystems, and we attempt to estimate the length of animal population cycles as a function of mass. Our analytical and numerical results turn out to compare reasonably to data from a number of ecosystems. This paves the way for a wider usage of allometric scaling to simplify mathematical models in population dynamics and make testable predictions.
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