In the literature on spatial point processes, there is an emerging challenge in studying marked point processes with points being labelled by functions. In this paper, we focus on point processes living on linear networks and, from distinct points of view, propose several marked summary characteristics that are of great use in studying the average association and dispersion of the function-valued marks. Through a simulation study, we evaluate the performance of our proposed marked summary characteristics, both when marks are independent and when some sort of spatial dependence is evident among them. Finally, we employ our proposed mark summary characteristics to study the spatial structure of urban cycling profiles in Vancouver, Canada.

翻译：在空间点过程文献中，研究以函数作为标记的点过程正成为一个新兴挑战。本文聚焦于线性网络上的点过程，并从不同视角提出了若干标记摘要特征量，这些特征量在研究函数值标记的平均关联性与离散性方面具有重要价值。通过模拟研究，我们评估了所提出的标记摘要特征量在标记独立及存在空间依赖性两种情况下的性能表现。最后，我们运用所提出的标记摘要特征量研究了加拿大温哥华城市骑行剖面的空间结构。