The dynamics of cyclic populations distributed in space result from the relative strength of synchronising influences and the limited dispersal of destabilising factors (activators and inhibitors), known to cause multi-annual population cycles. However, while each of these have been well studied in isolation, there is limited empirical evidence of how the processes of synchronisation and activation–inhibition act together, largely owing to the scarcity of datasets with sufficient spatial and temporal scale and resolution. We assessed a variety of models that could be underlying the spatio-temporal pattern, designed to capture both theoretical and empirical understandings of travelling waves using large-scale (>35,000 km²), multi-year (2011–2017) field monitoring data on abundances of common vole (Microtus arvalis), a cyclic agricultural rodent pest. We found most support for a pattern formed from the summation of two radial travelling waves with contrasting speeds that together describe population growth rates across the region.

中文翻译：

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从图案到工艺？具有不同传播速度的双行波最能描述循环啮齿动物种群增长的自组织时空模式

分布在空间中的循环种群的动态是由同步影响的相对强度和不稳定因素（激活剂和抑制剂）的有限分散造成的，已知会导致多年的种群周期。然而，虽然这些中的每一个都已单独进行了很好的研究，但关于同步和激活-抑制过程如何共同作用的经验证据有限，这主要是由于缺乏具有足够空间和时间尺度和分辨率的数据集。我们评估了各种可能成为时空模式基础的模型，旨在使用大规模（> 35,000 km ²）多年（2011-2017）现场监测数据来捕捉对行波的理论和经验理解丰富的田鼠 (Microtus arvalis )，一种循环农业啮齿动物害虫。我们发现大多数支持由两个具有对比速度的径向行波的总和形成的模式，它们共同描述了该地区的人口增长率。