Urban spatial structures from human flow by Hodge-Kodaira decomposition.
Urban spatial structures from human flow by Hodge-Kodaira decomposition.
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DOI：
10.1038/s41598-022-15512-z
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发表时间：
2022-07-04
影响因子：
4.6
通讯作者：
Fujiwara, Naoya
中科院分区：
文献类型：
--
作者：
Aoki, Takaaki;Fujishima, Shota;Fujiwara, Naoya
城市人口流动反映了社会活动，可以揭示基于人类行为的城市空间结构，为相关应用提供依据。标量势是一个数学概念，如果应用得当，可以直观地了解人的流动情况。然而，从起点-终点流矩阵的角度定义这种势及其可行性仍未得到解决。在这种情况下，我们使用Hodge-Kodaira分解，它独特地将矩阵分解为势驱动（梯度）流和旋度流。我们描绘了通勤流在城市中产生的潜在景观，并揭示了景观是如何随着时间或交通方式的变化而变化或保持不变的。然后，我们通过评估美国大都市地区梯度成分的百分比来确定通勤流的潜力描述程度，并表明梯度成分在几个地区几乎是100%；然而，在其他区域，旋度分量占主导地位，表明圆形流动的重要性，以及三角形的地方。潜在景观提供了一种易于使用的可视化工具，用于显示有吸引力的人流场所，并将有助于商业、城市设计和流行病传播等各种应用。
Human flow in cities indicates social activity and can reveal urban spatial structures based on human behaviours for relevant applications. Scalar potential is a mathematical concept that, when properly applied, can provide an intuitive view of human flow. However, the definition of such a potential in terms of the origin-destination flow matrix and its feasibility remain unresolved. In this case, we use Hodge–Kodaira decomposition, which uniquely decomposes a matrix into a potential-driven (gradient) flow and a curl flow. We depict the potential landscapes in cities resulting from commuting flow and reveal how the landscapes have either changed or remained unchanged by years or methods of transportation. We then determine how well the commuting flow is described by the potential, by evaluating the percentage of the gradient component for metropolitan areas in the USA and show that the gradient component is almost 100% in several areas; in other areas, however, the curl component is dominant, indicating the importance of circular flow along with triangles of places. The potential landscape provides an easy-to-use visualisation tool for showing the attractive places of human flow and will help in a variety of applications such as commerce, urban design, and epidemic spreading.
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DOI：
10.1068/a100371
发表时间：
1978-01-01
期刊：
ENVIRONMENT AND PLANNING A
影响因子：
--
作者：
HARRIS, B;WILSON, AG
通讯作者：
WILSON, AG
DOI：
10.1098/rspa.2017.0700
发表时间：
2018-05
期刊：
Proceedings. Mathematical, physical, and engineering sciences
影响因子：
--
作者：
Ellam L;Girolami M;Pavliotis GA;Wilson A
通讯作者：
Wilson A
影响因子：
64.8
作者：
Simini, Filippo;Gonzalez, Marta C.;Barabasi, Albert-Laszlo
通讯作者：
Barabasi, Albert-Laszlo
影响因子：
3.1
作者：
FUJITA, M;OGAWA, H
通讯作者：
OGAWA, H
影响因子：
4.9
作者：
KODAIRA, K
通讯作者：
KODAIRA, K