The last decade has witnessed an increase of interest in the spatial analysis of structured point patterns over networks whose analysis is challenging because of geometrical complexities and unique methodological problems. In this context, it is essential to incorporate the network specificity into the analysis as the locations of events are restricted to areas covered by line segments. Relying on concepts originating from graph theory, we extend the notions of first-order network intensity functions to second-order and local network intensity functions. We consider two types of local indicators of network association functions which can be understood as adaptations of the primary ideas of local analysis on the plane. We develop the nodewise and cross-hierarchical type of local functions. A real data set on urban disturbances is also presented.

过去十年见证了对网络上结构化点模式的空间分析的兴趣不断增长，由于几何复杂性和独特的方法学问题，其分析具有挑战性。在这种情况下，必须将网络特异性纳入分析中，因为事件的位置仅限于线段所覆盖的区域。依靠源自图论的概念，我们将一阶网络强度函数的概念扩展到了二阶和局部网络强度函数。我们考虑了两种类型的网络关联功能局部指标，它们可以理解为对平面局部分析基本思想的改编。我们开发了局部功能的节点和跨层次类型。还提供了有关城市骚扰的真实数据集。