生态流网络的鲁棒性与有向结构
Robustness and Directed Structures in Ecological Flow Networks
摘要：
考虑了生态流网络在弧随机失效下的鲁棒性，考虑了两种不同的功能：凝聚和循环。在我们之前的工作中，我们证明了每个功能都与自然路径概念相关联：前者是横向路径，后者是有向路径。网络的鲁棒性分别用巨横向连通弧分量和巨强连通弧分量的大小来度量。我们研究了生态流网络的现实结构如何影响每个功能的鲁棒性。为了量化现实网络结构的影响，两个零模型被认为是一个给定的真实生态流网络：一个是随机网络具有相同的度分布，另一个是具有相同的平均度。零模型的鲁棒性通过理论上求解组态模型巨组分的大小来计算。我们发现，现实的网络结构有积极的影响鲁棒性的一致性，而他们有负面影响的鲁棒性循环。
英文摘要：
Robustness of ecological flow networks under random failure of arcs is considered with respect to two different functionalities: coherence and circulation. In our previous work, we showed that each functionality is associated with a natural path notion: lateral path for the former and directed path for the latter. Robustness of a network is measured in terms of the size of the giant laterally connected arc component and that of the giant strongly connected arc component, respectively. We study how realistic structures of ecological flow networks affect the robustness with respect to each functionality. To quantify the impact of realistic network structures, two null models are considered for a given real ecological flow network: one is random networks with the same degree distribution and the other is those with the same average degree. Robustness of the null models is calculated by theoretically solving the size of giant components for the configuration model. We show that realistic network structures have positive effect on robustness for coherence, whereas they have negative effect on robustness for circulation.
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