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Fig 1.

Schematic diagram of “dot-like” structures.

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Fig 2.

Schematic diagram of “axial” structures.

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Fig 3.

Schematic diagram of “network” structures.

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Fig 4.

Schematic diagram of “planar” structures.

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Fig 5.

China’s five-level administrative management system.

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Fig 6.

The hierarchical system of Chinese cities.

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Fig 7.

Schematic diagram of a “tiered” structure.

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Fig 8.

Diagram of concentric urban agglomeration spatial mechanism (before).

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Fig 9.

Diagram of concentric urban agglomeration spatial mechanism (after).

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Fig 10.

Theoretical mechanism diagram.

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Fig 11.

Research area. Note: The vector data for China's administrative boundaries were obtained from the Standard Map Service website of the Ministry of Natural Resources of China (http://211.159.153.75/index.html).

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Fig 12.

RES of Chinese urban agglomerations.

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Fig 13.

POP of Chinese urban agglomerations.

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Fig 14.

ENT of Chinese urban agglomerations.

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Fig 15.

GAP of Chinese urban agglomerations.

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Fig 16.

GRAD of Chinese urban agglomerations. Note: The vector data for China's administrative boundaries were obtained from the Standard Map Service website of the Ministry of Natural Resources of China (http://211.159.153.75/index.html).

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Table 1.

Descriptive statistics of variables (2005–2019).

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Table 2.

Main regression and robustness results.

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Table 3.

Threshold effect significance test.

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Table 4.

Threshold regression results.

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Table 5.

Heterogeneity regression results by coastal status.

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Table 6.

Heterogeneous regression results based on the inclusion of national central cities.

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