A Method for Measuring Bicycle-Sharing Tidal Flow Patterns from a Multi-level Perspective
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摘要: 针对栅格等传统聚合单元在共享单车潮汐模式检测中易引发可塑面积单元问题(modifiable areal unit problem,MAUP),以及大规模路网下检测精度与计算效率难以兼顾等实际情况,研究了“管理子区-路段尺度”多层级视角下的两阶段潮汐测度方法。第一阶段,以路段替代栅格作为基本检测单元,从而规避聚合单元主观划分带来的MAUP干扰;第二阶段,引入Leiden社区发现算法将研究区域划分为若干内部联系紧密的管理子区,使路段尺度下的潮汐模式识别范围由全域收缩至管理子区内部,实现计算复杂度的数量级压缩。以厦门岛共享单车系统为例,对其06:00—10:00时段的潮汐模式进行检测,结果表明: ①在精度方面,两阶段法在“极高”与“较高”精度等级上的检出比例分别为74%、61%,而栅格法约为20%、12%;两阶段法与全域处理法相比计算效率提升66%;②83%的潮汐模式发生在早高峰(07:00—09:00),集中于就业区与住宅区附近,具有明显单向潮汐流特征;③检测出的潮汐模式呈现任意形状与多尺度分布,栅格法通常难以探测,且不同时段潮汐强度差异显著,存在分级调度的必要。本文方法在有效克服MAUP的同时,兼顾了潮汐模式检测效率与识别精度,可有效提升运维可操作性。Abstract: To address the modifiable areal unit problem (MAUP) caused by traditional aggregation units such as grids in shared bike tidal pattern detection, as well as the difficulty in balancing detection accuracy and computational efficiency in large-scale road networks, this paper proposes a two-stage tidal pattern measurement method from a multi-level perspective of "management subzone-road segment granularity." In the first stage, road segments are used as the basic detection unit instead of grids to avoid MAUP interference caused by subjective aggregation boundary delineation. In the second stage, the Leiden community detection algorithm is introduced to divide the study area into several management subzones with strong internal connections, shrinking the detection range of road-segment-scale tidal patterns from the entire region to within each subzone and achieving an order-of-magni tude reduction in computational complexity. Taking the shared bike system on Xiamen Island as a case study, the tidal patterns during the period from 06:00 to 10:00 are detected and analyzed. The results show that: in terms of accuracy, compared with grid-based methods, the two-stage method achieves significantly better accuracy, with the proportions of "extremely high" and "relatively high" accuracy reaching 74% and 61%, respectively, while the grid-based methods achieve only approximately 20% and 12%; in terms of computational efficiency, the two-stage method improves efficiency by 66% compared with direct processing of the entire region. A total of 83% of the tidal patterns occur during the morning peak (07:00—09:00), concentrated near employment and residential areas, respectively, exhibiting a clear unidirectional tidal flow pattern. The detected tidal patterns exhibit arbitrary shapes and multi-scale distributions that are difficult to capture with regular grid units, and tidal intensity varies significantly across time periods, indicating the necessity of graded dispatch strategies. In conclusion, the proposed method effectively overcomes the MAUP effect while balancing detection efficiency and identification accuracy, and can effectively enhance operational feasibility.
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表 1 5 d内共享单车"黑洞"、"火山"潮汐模式在不同时段分布情况
Table 1. Distribution of DBS"black hole"and "volcano"tidal patterns across time periods over five days
时间段 "黑洞"数量/个(比例/%) "火山"数量/个(比例/%) 06:00-07:00 41(4) 77(7) 07:00-08:00 350(34) 404(36) 08:00-09:00 505(49) 526(47) 09:00-10:00 137(13) 111(10) 总计 1033(100) 1118(100) 表 2 5d内共享单车"黑洞"、"火山"潮汐强度在不同时段分布情况
Table 2. Tidal intensity of shared bike"black holes"and"volcanoes"across time periods over five days
时间段 共享单车"黑洞" 共享单车"火山" 潮汐强度/(veh/h) 数量/个(比例/%) 潮汐强度/(veh/h) 数量/个(比例/%) 06:00-07:00 轻度$ (\leqslant 92) $ 41 (100) 轻度$ (\leqslant 85) $ 77 (100) 中度(> 92~270) 0 (0) 中度(> 85~244) 0 (0) 重度(> 270) 0(0) 重度(> 244) 0 (0) 轻度$ (\leqslant 92) $ 311 (89) 轻度$ (\leqslant 85) $ 338 (84) 07:00-08:00 中度(> 92~270) 33(9) 中度(> 85~244) 62 (15) 重度(> 270) 6 (2) 重度(> 244) 4 (1) 轻度$ (\leqslant 92) $ 413(82) 轻度$ (\leqslant 85) $ 442 (84) 08:00-09:00 中度(> 92~270) 73 (14) 中度(> 85~244) 72 (14) 重度(> 270) 19(4) 重度(> 244) 12 (2) 轻度$ (\leqslant 92) $ 118(86) 轻度$ (\leqslant 85) $ 107 (96) 09:00-10:00 中度(> 92~270) 19 (14) 中度(> 85~244) 4 (4) 重度(> 270) 0(0) 重度(> 244) 0 (0) 表 3 5 d内共享单车早高峰时段(07:00—08:00)潮汐模式检测效率
Table 3. Detection efficiency of DBS tidal pattern during morning peak hour(07: 00-08: 00)over five days
管理子区编号 起讫点数量/个 路段数量/个 时间/min #1 4331 4869 8 #2 5553 3832 17 #3 4706 4354 13 #4 4560 3409 9 #5 4740 2105 6 #6 3714 1219 4 #7 3044 1455 8 #8 183 1233 1 #9 172 973 1 研究区域 31003 25171 201 表 4 5 d内共享单车潮汐模式检测精度
Table 4. Detection accuracy of DBS tidal pattern over five days
共享单车"黑洞"模式 共享单车"火山"模式 精度($ R_{I/T} $) 数量(比例/%) 精度($ R_{I/T} $) 数量(比例/%) 极高$ (0.9 \sim<1.0) $ 322(31) 极高(> 0~0.1) 299(27) 较高($ 0.8 \sim<0.9 $) 371(36) 较高(> 0.1~0.2) 484(43) 一般$ (0.7 \sim<0.8) $ 234(23) 一般(> 0.2~0.3) 258(23) 合格($ 0.6 \sim<0.7 $) 74(7) 合格(> 0.3~0.4) 54(5) 不合格(< 0.6) 32(3) 不合格(> 0.4) 23(2) 总计 1 033(100) 1118(100) 表 5 12月22日早平峰时段(09:00—10:00)潮汐模式精度对比
Table 5. Accuracy comparison of tidal patterns during the morning off-peak hours(09: 00-10: 00)on December 22
精度(RI/T) 共享单车"黑洞"数量(比例/%) 共享单车"火山"数量(比例/%) 两阶段法 200 m栅格 500 m栅格 1000 m栅格 两阶段法 200 m栅格 500 m栅格 1000 m栅格 极高 7(21) 22(7) 7(4) 2(2) 3(11) 5(3) 0(0) 0(0) 较高 18(53) 42(13) 11(6) 4(4) 14(50) 15(9) 5(5) 0(0) 一般 9(26) 84(26) 42(22) 12(13) 9(32) 20(12) 10(11) 5(14) 合格 0(0) 70(21) 54(28) 37(40) 2(7) 41(24) 26(28) 6(17) 不合格 0(0) 110(33) 77(40) 38(41) 0 88(52) 53(56) 24(69) -
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