用一个简单的动力学模型描述了biodiversity的演化和扰动
Describing the evolution and perturbations to biodiversity using a simple dynamical model
摘要:
在这项工作中,我们概述了整个中生代生物多样性演化的数学描述的基础上,一个简单的耦合系统的两个微分方程和划分的属在两个类-短命和长寿的类型,所使用的罗德和穆勒。我们表明,虽然只有两个类的划分不能捕捉在短尺度上的生物多样性进化的复杂性,广泛的趋势可以很好地描述。我们还计算了系统的格林函数,定性地描述了天体物理起源的强烈扰动对随后生物多样性演化的可能影响。
英文摘要:
In this work, we outline a mathematical description of biodiversity evolution throughout the Phanerozoic based on a simple coupled system of two differential equations and on the division of genera in two classes - Short-lived and Long-lived types, as used by Rohde and Muller. We show that while the division in only two classes cannot capture the complexity of biodiversity evolution in short scales, broad trends can be described well. We also compute the systems' Green functions as a way to qualitatively describe the possible effects of intense perturbations of astrophyisical origin on the subsequent biodiversity evolution.
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