摘要翻译：
生物多样性对生态系统的生存能力至关重要。生态系统中的物种多样性是由相互竞争的种群之间的循环的、非层次的相互作用促进的。这种不可传递的关系导致了以“石头--纸--剪刀”游戏为主要特征的演变，石头压碎剪刀，剪刀剪纸，纸包裹石头。与静态种群的空间分散相结合，这种类型的竞争导致了所有物种的稳定共存和生物多样性的长期维持。然而，人口流动是现实生态系统的核心特征：动物迁徙，细菌奔跑和翻滚。在这里，我们观察到流动性对物种多样性的一个关键影响。当流动性超过一定值时，生物多样性就会受到危害和丧失。相反，在这个临界值以下，所有子种群都共存，在时间演化过程中形成了一个行进螺旋波的纠缠。我们证明了这一现象是鲁棒的，它不依赖于循环竞争或空间环境的细节。这些发现对生态系统的维持和进化具有重要的意义，并与可激发介质中模式的形成和传播有关，如化学动力学或流行病爆发。
---
英文标题：
《Mobility promotes and jeopardizes biodiversity in rock-paper-scissors
  games》
---
作者：
Tobias Reichenbach, Mauro Mobilia and Erwin Frey
---
最新提交年份：
2008
---
分类信息：

一级分类：Quantitative Biology        数量生物学
二级分类：Populations and Evolution        种群与进化
分类描述：Population dynamics, spatio-temporal and epidemiological models, dynamic speciation, co-evolution, biodiversity, foodwebs, aging; molecular evolution and phylogeny; directed evolution; origin of life
种群动力学；时空和流行病学模型；动态物种形成；协同进化；生物多样性；食物网；老龄化；分子进化和系统发育；定向进化；生命起源
--
一级分类：Physics        物理学
二级分类：Statistical Mechanics        统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
--
一级分类：Physics        物理学
二级分类：Biological Physics        生物物理学
分类描述：Molecular biophysics, cellular biophysics, neurological biophysics, membrane biophysics, single-molecule biophysics, ecological biophysics, quantum phenomena in biological systems (quantum biophysics), theoretical biophysics, molecular dynamics/modeling and simulation, game theory, biomechanics, bioinformatics, microorganisms, virology, evolution, biophysical methods.
分子生物物理、细胞生物物理、神经生物物理、膜生物物理、单分子生物物理、生态生物物理、生物系统中的量子现象（量子生物物理）、理论生物物理、分子动力学/建模与模拟、博弈论、生物力学、生物信息学、微生物、病毒学、进化论、生物物理方法。
--

---
英文摘要：
  Biodiversity is essential to the viability of ecological systems. Species diversity in ecosystems is promoted by cyclic, non-hierarchical interactions among competing populations. Such non-transitive relations lead to an evolution with central features represented by the `rock-paper-scissors' game, where rock crushes scissors, scissors cut paper, and paper wraps rock. In combination with spatial dispersal of static populations, this type of competition results in the stable coexistence of all species and the long-term maintenance of biodiversity. However, population mobility is a central feature of real ecosystems: animals migrate, bacteria run and tumble. Here, we observe a critical influence of mobility on species diversity. When mobility exceeds a certain value, biodiversity is jeopardized and lost. In contrast, below this critical threshold all subpopulations coexist and an entanglement of travelling spiral waves forms in the course of temporal evolution. We establish that this phenomenon is robust, it does not depend on the details of cyclic competition or spatial environment. These findings have important implications for maintenance and evolution of ecological systems and are relevant for the formation and propagation of patterns in excitable media, such as chemical kinetics or epidemic outbreaks.
---
PDF链接：
https://arxiv.org/pdf/709.0217