标题： 交通延迟分析的功能连接网络：从理论到软件 显示英文标题

标题： Functional Connectivity Networks for Transportation Delay Analysis: from Theory to Software

摘要： 在建模和理解交通网络中延迟传播的努力中，过去十年来引起越来越多关注的一种方法是创建功能网络表示。 这些图将感兴趣元素（例如机场或车站）作为节点，并通过相关性和因果性测试从其动态中推导出成对的传播模式。 尽管取得了多项显著成果，但这种方法仍然缺乏一个连贯的框架，许多基本步骤的决策仍需研究人员自行判断。 我们在此介绍用于交通系统的功能网络理论，详细说明主要步骤及相关的陷阱。 我们进一步介绍一个Python包delaynet，旨在帮助研究人员进行此类网络的重建和分析。 我们最后展示对瑞士火车系统中延迟传播的分析，并讨论未来的研究方向。 显示英文摘要

摘要： Within the endeavour of modelling and understanding the propagation of delays in transportation networks, an approach that has attracted increasing interest in the last decade is the creation of functional network representations. These graphs map elements of interest (e.g. airports or stations) as nodes, and derive pairwise propagation patterns from their dynamics through correlation and causality tests. In spite of multiple notable results, this approach still lacks a coherent framework, with decisions related to many fundamental steps being left to the judgement of the researcher. We here provide an introduction to the theory behind functional networks for transportation systems, detailing the main steps and the associated pitfalls. We further introduce a Python package, delaynet, designed to support the researcher in the reconstruction and analysis of such networks. We finally present an analysis of the propagation of delays in the Swiss train system; and discuss future research steps.