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Boundary effects in network measures of spatially embedded networks

机译:空间嵌入式网络的网络度量中的边界效应

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摘要

In studies of spatially confined networks, network measures can lead to false conclusions since most measures are boundary affected. This is especially the case if boundaries are artificial and not inherent in the underlying system of interest (e.g., borders of countries). An analytical estimation of boundary effects is not trivial due to the complexity of measures. The straightforward approach we propose here is to use surrogate networks that provide estimates of boundary effects in graph statistics. This is achieved by using spatially embedded random networks as surrogates that have approximately the same link probability as a function of spatial link lengths. The potential of our approach is demonstrated for an analysis of spatial patterns in characteristics of regional climate networks. As an example networks derived from daily rainfall data and restricted to the region of Germany are considered.
机译:在空间受限网络的研究中,由于大多数度量受边界影响,因此网络度量可能会得出错误的结论。如果边界是人为的而不是基本利益体系所固有的(例如,国家边界),则情况尤其如此。由于措施的复杂性,对边界效应的分析估计并非无关紧要。我们在此提出的直接方法是使用代理网络,该网络在图统计中提供边界效应的估计。这是通过使用空间嵌入的随机网络作为代理来实现的,该代理具有与空间链路长度近似相同的链路概率。我们的方法具有潜力,可用于分析区域气候网络特征中的空间格局。作为示例,考虑了从每日降雨数据得出的并局限于德国地区的网络。

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