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Research on passenger flow and network coordination of urban rail transit based on the theory of allometric growth

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  • Zehua, Zhang
  • Ruining, Wei
  • Shumin, Feng
  • Fan, Yang
  • Yiqiang, Jiang

Abstract

The dynamic coordination between urban rail transit passenger flow and network has a significant impact on system operation efficiency and sustainable development. This article is based on the theory of allometric growth and constructs a bidirectional feedback coupling model between passenger flow and network allometric growth. It reveals the evolutionary mechanism of mutual driving between the two and proposes that allometric growth factors can be used for coordination evaluation. By analyzing the historical data of the rail transit systems in Beijing, Shanghai, and Guangzhou, the logistic evolution law of network size and passenger flow growth was verified, and its allometric growth characteristics were empirically verified. Research has shown that the network expansion and passenger flow growth in the three major cities exhibit a common trend of "slow growth accelerated growth slowed growth", but there are significant differences in the dynamic factors of allometric growth. Furthermore, a coordination index containing allometric growth factors was constructed. The dynamic evaluation based on coordination index shows that Beijing (C= 0.96) is close to equilibrium but there is a local supply shortage, Shanghai (C=0.89) needs to optimize network refinement operation, and Guangzhou (C=1.06) needs to accelerate network expansion to match demand. The dynamic coordination model and index warning proposed in this study provide theoretical basis and decision support for urban rail transit planning and operation.

Suggested Citation

  • Zehua, Zhang & Ruining, Wei & Shumin, Feng & Fan, Yang & Yiqiang, Jiang, 2026. "Research on passenger flow and network coordination of urban rail transit based on the theory of allometric growth," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 681(C).
    • Handle: RePEc:eee:phsmap:v:681:y:2026:i:c:s0378437125006740
    DOI: 10.1016/j.physa.2025.131022
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    1. Kleiber, Max, 1932. "Body size and metabolism," Hilgardia, California Agricultural Experiment Station, vol. 6(11).
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