论文标题
没有分辨率的嵌套限制
Absence of a resolution limit in in-block nestedness
论文作者
论文摘要
在过去的十年中,杂种或复合嵌套模块模式最初是一种投机性模式,作为在多种环境中出现的相关结构布置,这是一种相关的结构布置,这些结构排列在多种环境中 - 生态共同性系统及其他。这意味着将焦点从嵌套作为全球特性(宏观水平)的测量转移到检测内部表现出高度嵌套度的块(中索级)。不幸的是,对正确检测嵌套嵌套分区的方法的可用性和理解在于经验发现:虽然已经提出了嵌套内置嵌套的精确质量功能,但我们对其可能固有的约束缺乏理解。具体而言,尽管众所周知,纽曼·吉尔万(Newman-Girvan)的模块化和相关质量功能,但众所周知,分辨率限制会损害其检测到小块的能力,但未探索嵌套的分辨率限制的潜在存在是没有探索的。在这里,我们提供了经验,数值和分析性证据,表明内置嵌套功能缺乏分辨率限制,因此我们通过其最大化检测网络中正确分区的能力仅取决于优化算法的准确性。
Originally a speculative pattern in ecological networks, the hybrid or compound nested-modular pattern has been confirmed, during the last decade, as a relevant structural arrangement that emerges in a variety of contexts --in ecological mutualistic system and beyond. This implies shifting the focus from the measurement of nestedness as a global property (macro level), to the detection of blocks (meso level) that internally exhibit a high degree of nestedness. Unfortunately, the availability and understanding of the methods to properly detect in-block nested partitions lie behind the empirical findings: while a precise quality function of in-block nestedness has been proposed, we lack an understanding of its possible inherent constraints. Specifically, while it is well known that Newman-Girvan's modularity, and related quality functions, notoriously suffer from a resolution limit that impairs their ability to detect small blocks, the potential existence of resolution limits for in-block nestedness is unexplored. Here, we provide empirical, numerical and analytical evidence that the in-block nestedness function lacks a resolution limit, and thus our capacity to detect correct partitions in networks via its maximization depends solely on the accuracy of the optimization algorithms.