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. 2024 Oct 7;19(10):e0311621. doi: 10.1371/journal.pone.0311621

Table 2. Variable definition and summarized statistics.

Variable Scale Description Mean and standard deviation
Full Sample With HSR Without HSR
Panel A: Dependent variables
Patent number (Total effect) County level Total number of invention patent applications by firms in each county-year 67.83 284.63 13.08
(747.7) (1632.51) (111.67)
W_Citation (Total effect) County level Total number of invention patent applications weighted by citation 86.2 (889.03) 526.03 (2329.04) 15.93 (119.88)
Firm number (Extensive margin) County level Total number of firms with invention patent application in each county-year 13.62 55.3 3.09
(129.33) (282.38) (16.37)
Patent intensity (Intensive margin) Firm level Number of invention patent applications in each firm-year 1.05 1.09 0.88
(8.94) (9.69) (4.36)
Panel B: HSR status (Independent variables)
HSR County level Dummy, 1 for county after operation of HSR, 0 otherwise 0.062 0.305 0
(0.24) (0.461) (0)
HSR Firm level Dummy, 1 for firm located in the county with HSR access, 0 otherwise 0.51 0.627 0
(0.5) (0.484) (0)
Panel C: Socio-economic outcomes and natural conditions (Control variables)
GDP County level Gross Domestic Product (billion yuan) 21.81 64.59 11.01
(84.99) (179.85) (17.4)
Pop County level Number of permanent residents (thousand) 615 1096.8 493.34
(799.86) (1527.47) (372.6)
PM2.5 County level Annual surface of PM2.5 concentration (μg/m3) 34.7 40.18 33.36
(18.23) (15.35) (18.62)
Temperature County level Annual average temperature of the county (°C) 13.73 15.76 13.23
(5.51) (4.72) (5.57)
Obs County level Number of observations 25,857 5,213 20,644
Obs Firm level Number of observations 1,537,488 1,249,485 288,003

Notes: Standard deviations are in parenthesis. The total effect and extensive margin of HSR impacts are measured at the county level, and the intensive margin of HSR impacts is measured at the firm level.