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. 2025 May 19;15:17293. doi: 10.1038/s41598-025-02481-2

Table 2.

Definition of variables.

Variables Name Measurement Unit References
Explanatory Carbon Ln (total regional carbon emissions/GDP) billion tons/million dollars Zhang et al.12
Core explanatory DID 0–1 variable, assigned a value of 1 if the city is a pilot area, in 2017 and beyond, and 0 otherwise Li et al.22
Intermediary Greeinn_qua Ln (number of patent applications for green inventions + 1) Wang et al.35
Greeinn_num Ln (number of green utility patent applications + 1)
Greeinn_tot Ln(number of green invention patent applications + number of green utility model patent applications + 1)
Str Tertiary sector output/secondary sector output by region Wang et al.13
Controls Ind Gross industrial output/GDP Zhang12
Fin Year-end loan balances of financial institutions/GDP by region Zhao55
Eco Total retail sales of consumer goods/GDP Li et al.22
DEco GDP/land area of administrative regions million/km2 Zhang12
Gov Regional revenues/GDP Han54
SGov Local general public budget revenue/local general public budget expenditure Zhang12
Pop Total population of the region/land area of the administrative region persons/km 2 Li et al.22
Edu Number of students enrolled in general undergraduate programs/total population of the region Zhang12