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Measuring nestedness: A comparative study of the performance of different metrics

机译:测量嵌套:不同指标表现的比较研究

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Nestedness is a property of interaction networks widely observed in natural mutualistic communities, among other systems. A perfectly nested network is characterized by the peculiarity that the interactions of any node form a subset of the interactions of all nodes with higher degree. Despite a widespread interest on this pattern, no general consensus exists on how to measure it. Instead, several nestedness metrics, based on different but not necessarily independent properties of the networks, coexist in the literature, blurring the comparison between ecosystems. In this work, we present a detailed critical study of the behavior of six nestedness metrics and the variants of two of them. In order to evaluate their performance, we compare the obtained values of the nestedness of a large set of real networks among them and against a maximum‐entropy and maximum‐likelihood null model. We also analyze the dependencies of each metrics on different network parameters, as size, fill, and eccentricity. Our results point out, first, that the metrics do not rank networks universally in terms of their degree of nestedness. Furthermore, several metrics show significant dependencies on the network properties considered. The study of these dependencies allows us to understand some of the observed systematic shifts against the null model. Altogether, this paper intends to provide readers with a critical guide on how to measure nestedness patterns, by explaining the functioning of several metrics and disclosing their qualities and flaws. Besides, we also aim to extend the application of null models based on maximum entropy to the scarcely explored area of ecological networks. Finally, we provide a fully documented repository that allows constructing the null model and calculating the studied nestedness indexes. In addition, it provides the probability matrices to build the null model for a large dataset of more than 200 bipartite networks.
机译:嵌套是在自然互动社区中广泛观察到的交互网络的财产,在其他系统中。完美嵌套的网络的特征在于,任何节点的交互形成具有更高程度的所有节点的交互的子集的特征。尽管对这种模式普遍兴趣,但如何衡量其普遍共识。相反,基于网络的不同但不一定独立属性,在文献中共存,模糊了生态系统之间的比较,而不是几个嵌套度量。在这项工作中,我们对六个嵌套度量的行为和其中两个的变种提供了详细的批判性研究。为了评估它们的性能,我们将所获得的价值与其中一组大型真实网络的嵌套值进行比较,并反对最大熵和最大似然无效模型。我们还分析了不同网络参数的每个度量的依赖关系,如大小,填充和偏心度。首先,我们的结果指出,指标在其嵌套程度方面普遍不等待网络。此外,几个度量标准显示了对所考虑的网络属性的重要依赖性。对这些依赖性的研究允许我们了解一些观察到的系统变化对无效模型。完全,本文旨在通过解释几个指标的运作并披露其素质和缺陷,为读者提供有关如何测量嵌套模式的关键指南。此外,我们还可以根据最大熵延长空型的应用,以至于几乎探讨的生态网络区域。最后,我们提供了一个完全记录的存储库,允许构建空模型并计算研究的嵌套索引。此外,它提供了概率矩阵,用于构建大于200个二分网络的大型数据集的空模型。

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