Abstract Functional regions are autonomous (internally coherent and externally self-contained) spatial structures based on vector data, so-called spatial interactions. Typically, travel-to-work, travel-to-school flows and migrations are analysed by various methods of functional regional taxonomy in order to define functional regions. There is still another type of statistically recorded vector data which has, up to now, rarely been used for this purpose: traffic flows. However, these data differ distinctly from the above mentioned flows. In this paper we pursue two objectives: (i) to define functional transport regions based on a graph theoretic analysis of individual traffic flows, and (ii) to add knowledge to the issue of the self-containment of functional transport regions. The specific nature of transport data compared to the above-mentioned spatial interactions requires a specific methodological approach, which is presented in the paper. The existing graph theoretic procedures do not seem suitable for the definition of functional transport regions due to data specifics. Therefore our analysis is based on a rough analogy to the minimum cut method – we identify minimum flows in a graph representing a transport network. The territory of the Czech Republic is used as the example. Two regional systems are defined (based on 2000 and 2016 data) and compared in time. The paper achieves two main findings. First, the proposed methodological approach allows us to define autonomous functional transport regions, and the means to calculate their self-containment is discussed. Second, functional transport regions in the Czech Republic show unexpected stability over time compared to functional regions based on such spatial interactions as commuting flows.

中文翻译：

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基于网络的功能区定义：交通流空间分布的图论方法

摘要 功能区是基于矢量数据的自治（内部相干和外部独立）空间结构，即所谓的空间相互作用。通常，通过功能区域分类法的各种方法分析上班、上学的流动和迁移，以定义功能区域。还有另一种统计记录的矢量数据，到目前为止，很少用于此目的：交通流量。但是，这些数据与上述流量明显不同。在本文中，我们追求两个目标：(i) 基于单个交通流的图论分析来定义功能交通区域，以及 (ii) 为功能交通区域的自包含问题增加知识。与上述空间相互作用相比，运输数据的特定性质需要特定的方法论方法，这在论文中有所介绍。由于数据细节，现有的图论程序似乎不适合功能运输区域的定义。因此，我们的分析是基于对最小割方法的粗略类比——我们在表示交通网络的图中确定了最小流量。以捷克共和国领土为例。定义了两个区域系统（基于 2000 年和 2016 年的数据）并及时进行了比较。该论文取得了两个主要发现。首先，所提出的方法论方法允许我们定义自主功能运输区域，并讨论计算其自包含的方法。第二，