New insights into urban functional zones with a specific focus on leisure is of great significance for human-oriented urban development. The spatiotemporal pattern of urban leisure functional zones (ULFZ) reflects to what extent human psychological needs are satisfied. This article aims to discern ULFZ and reveal their changing regularity based on the taxi trajectory data and points of interests (POIs) by the DBSCAN algorithm, latent dirichlet allocations (LDA) and spatial analytical techniques. Results are concluded as follows: 1) the spatial distribution of ULFZs are dynamic and imbalanced at various periods; 2) among urban leisure subfunctions, cultural function is severely weaker than entertaining, sportive, and tourist function; and 3) the changes in ULFZ are kind of consistent at multiple spatial scales. This research benefits the leisure-oriented urban planning.

中文翻译：

---

城市休闲功能区时空变异性——基于地理大数据的分析

以休闲为重点的城市功能区的新见解对于以人为本的城市发展具有重要意义。城市休闲功能区（ULFZ）的时空格局反映了人类心理需求得到满足的程度。本文旨在通过 DBSCAN 算法、潜在狄利克雷分配 (LDA) 和空间分析技术，基于出租车轨迹数据和兴趣点 (POI) 来识别 ULFZ 并揭示其变化规律。结果总结如下：1）超低频区的空间分布在不同时期是动态且不平衡的；2）在城市休闲子功能中，文化功能严重弱于娱乐、运动和旅游功能；3) ULFZ 的变化在多个空间尺度上是一致的。