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. 2026 Jan 23;26:635. doi: 10.1186/s12889-026-26195-w

Table 3.

Robustness test

Variables (1) (2) (3) (4)
Theil index Urban‒rural income gap
Integration -0.078** -0.013*** -0.009** -0.012***
(0.032) (0.003) (0.004) (0.003)
Economic development -1.241*** -0.015 0.021 -0.012
(0.341) (0.027) (0.026) (0.027)
Industrial structure 0.068*** 0.003** 0.003* 0.003
(0.022) (0.002) (0.002) (0.002)
Human capital -5.418 0.771 0.969 0.777
(9.202) (0.869) (0.915) (0.876)
Fiscal expenditure ratio -1.353 -0.052 0.037 -0.054
(1.130) (0.071) (0.070) (0.071)
Opening‒up -1.487 -0.074 -0.072 -0.116*
(0.945) (0.061) (0.062) (0.059)
Financial development -0.355 0.003 0.006 -0.002
(0.248) (0.016) (0.016) (0.016)
Port distance × Time trend -0.000
(0.000)
Constant 15.903*** 2.181*** 1.785*** 2.225***
(3.412) (0.283) (0.284) (0.283)
City fixed effect Yes Yes Yes Yes
Time fixed effect Yes Yes Yes Yes
Observations 1,712 1,957 1,668 1,979
R-squared 0.980 0.985 0.986 0.985

The values in parentheses represent clustered robust standard errors, with, *,** and *** indicating significance at the 10%, 5%, and 1% levels, respectively