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. 2026 Jan 22;16:5998. doi: 10.1038/s41598-026-36327-2

Table 1.

Variables and definitions.

Types of variables Variable name Symbol Variable definition
Explained variable Number of green patent applications GP Number of green applications filed that year
Number of green invention applications filed GI Number of green inventions filed that year
Number of green utility models GUMI Number of green utility models applied for that year
Proportion of green inventions PGI Green inventions as a percentage of total patents granted annually in the district
Proportion of green utility models PGUMI Green utility models accounted for the total number of utility models obtained in the region
Explanatory variables Whether to process effects DDD Whether to implement carbon trading policy, the interaction item of individual time point industry
Individual variables Whether the individual is processed treat Yes, take 1; No, take 0
Ticker symbol stkcd Ticker symbol
Time point variable Whether to process time period Yes, take 1; No, take 0
A given year year Year
Industry variables Whether to deal with industry group Yes, take 1; No, take 0
Industry Industry Industry code
Control variables Asset size LnAssets Natural log of total annual assets
Net profit rate on total assets ROA Net profit/average balance of total assets
Tobin Q value Q (Market value of outstanding shares + number of non-tradable shares x net assets per share + book value of liabilities)/total assets
Asset-liability ratio Leverage Total year-end liabilities divided by total year-end assets
Operating growth rate Growth Current Year operating income/Previous year operating income − 1
Cash flow ratio Cash Net cash flow from operating activities divided by total assets
Return on equity ROE Net profit/average balance of shareholders’ equity
Turnover of total assets ATO Operating income/average total assets
Book-to-market ratio BM Book value/total market value
Number of years established LnAge ln(year of the year - year of incorporation + 1)
Corporate ownership SOE The value is 1 for state-controlled enterprises and 0 for others
Mediating variables Vendor concentration SI Top five supplier purchases as a percentage of total annual purchases
Customer concentration CI Ratio of top five customer sales to total annual sales