Studies in Science of Science ›› 2026, Vol. 44 ›› Issue (10): 2194-2206.
• Frontiers and Opinions • Previous Articles Next Articles
Received:2025-07-28
Revised:2025-09-08
Online:2026-10-15
Published:2026-10-10
通讯作者:
孙玉涛(1982-),男,教授,博士,E-mail:作者简介:张博(1995-),女,博士研究生。
基金资助:CLC Number:
ZHANG Bo, SUN Yu-tao. Beyond structure: Structure conformity of local fiscal expenditure on S&T and regional innovation[J]. Studies in Science of Science, 2026, 44(10): 2194-2206.
张博, 孙玉涛. 超越结构:地方财政科技结构一致与区域创新[J]. 科学学研究, 2026, 44(10): 2194-2206.
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| 变量名称 | 变量符号 | 变量测量 | |
|---|---|---|---|
| 因变量 | 区域创新 | Innovation | 利用该地区每万人发明专利授权量衡量区域创新水平,单位为件/万人。 |
| 自变量 | 遵从一致性 | Compliance | 利用余弦相似系数,计算该地区与中央政府的科技支出科目的一致程度。 |
| 趋同一致性 | Convergence | 利用余弦相似系数,计算该地区与同级政府科技支出平均水平的科目一致程度。 | |
| 调节变量 | 地方官员变更 | Turnover | 借鉴以往研究,若该地区省委书记或省长发生变更时记为1,否则记为0。 |
| 控制变量 | 经济发展水平 | GDP | 利用该地区人均GDP数值衡量,单位为亿元/万人。 |
| 产业发展水平 | Industry | 利用该地区第二产业增加值占GDP比重衡量产业发展程度。 | |
| 人力资本水平 | HC | 利用该地区每百万人在校大学生数量衡量人力资本水平。 | |
| 财政投入水平 | Fiscal | 利用该地区人均财政支出数额衡量财政投入水平,单位为亿元/万人。 | |
| 市场活跃程度 | Market | 利用该地区技术市场交易额占GDP比重测量市场交易活跃程度。 |
Table 1 Definition and measurement of variables
| 变量名称 | 变量符号 | 变量测量 | |
|---|---|---|---|
| 因变量 | 区域创新 | Innovation | 利用该地区每万人发明专利授权量衡量区域创新水平,单位为件/万人。 |
| 自变量 | 遵从一致性 | Compliance | 利用余弦相似系数,计算该地区与中央政府的科技支出科目的一致程度。 |
| 趋同一致性 | Convergence | 利用余弦相似系数,计算该地区与同级政府科技支出平均水平的科目一致程度。 | |
| 调节变量 | 地方官员变更 | Turnover | 借鉴以往研究,若该地区省委书记或省长发生变更时记为1,否则记为0。 |
| 控制变量 | 经济发展水平 | GDP | 利用该地区人均GDP数值衡量,单位为亿元/万人。 |
| 产业发展水平 | Industry | 利用该地区第二产业增加值占GDP比重衡量产业发展程度。 | |
| 人力资本水平 | HC | 利用该地区每百万人在校大学生数量衡量人力资本水平。 | |
| 财政投入水平 | Fiscal | 利用该地区人均财政支出数额衡量财政投入水平,单位为亿元/万人。 | |
| 市场活跃程度 | Market | 利用该地区技术市场交易额占GDP比重测量市场交易活跃程度。 |
| 省份 | 遵从一致性 | 趋同一致性 | 省份 | 遵从一致性 | 趋同一致性 | ||||
|---|---|---|---|---|---|---|---|---|---|
| 2015年 | 2022年 | 2015年 | 2022年 | 2015年 | 2022年 | 2015年 | 2022年 | ||
| 安徽 | 0.90 | 0.15 | 0.79 | 0.63 | 辽宁 | 0.74 | 0.69 | 0.57 | 0.90 |
| 北京 | 0.54 | 0.89 | 0.97 | 0.76 | 内蒙古 | 0.32 | 0.80 | 0.30 | 0.85 |
| 福建 | 0.51 | 0.81 | 0.97 | 0.83 | 宁夏 | 0.15 | 0.15 | 0.60 | 0.60 |
| 甘肃 | 0.24 | 0.90 | 0.89 | 0.86 | 青海 | 0.39 | 0.67 | 0.92 | 0.72 |
| 广东 | 0.78 | 0.64 | 0.88 | 0.75 | 山东 | 0.68 | 0.61 | 0.56 | 0.90 |
| 广西 | 0.68 | 0.36 | 0.96 | 0.81 | 山西 | 0.88 | 0.43 | 0.80 | 0.66 |
| 贵州 | 0.43 | 0.80 | 0.94 | 0.65 | 陕西 | 0.16 | 0.60 | 0.83 | 0.72 |
| 海南 | 0.31 | 0.53 | 0.86 | 0.71 | 上海 | 0.21 | 0.56 | 0.85 | 0.82 |
| 河北 | 0.59 | 0.76 | 0.97 | 0.90 | 四川 | 0.26 | 0.91 | 0.48 | 0.86 |
| 河南 | 0.67 | 0.37 | 0.88 | 0.83 | 天津 | 0.48 | 0.37 | 0.95 | 0.78 |
| 黑龙江 | 0.47 | 0.73 | 0.90 | 0.83 | 西藏 | 0.14 | 0.10 | 0.85 | 0.60 |
| 湖北 | 0.12 | 0.15 | 0.81 | 0.59 | 新疆 | 0.65 | 0.88 | 0.89 | 0.87 |
| 湖南 | 0.62 | 0.79 | 0.89 | 0.91 | 云南 | 0.30 | 0.66 | 0.92 | 0.74 |
| 吉林 | 0.56 | 0.83 | 0.84 | 0.86 | 浙江 | 0.62 | 0.64 | 0.75 | 0.64 |
| 江苏 | 0.62 | 0.68 | 0.98 | 0.86 | 重庆 | 0.28 | 0.70 | 0.91 | 0.93 |
| 江西 | 0.43 | 0.71 | 0.82 | 0.99 | |||||
Table 2 Conformity of local government’s expenditure structure on S&T
| 省份 | 遵从一致性 | 趋同一致性 | 省份 | 遵从一致性 | 趋同一致性 | ||||
|---|---|---|---|---|---|---|---|---|---|
| 2015年 | 2022年 | 2015年 | 2022年 | 2015年 | 2022年 | 2015年 | 2022年 | ||
| 安徽 | 0.90 | 0.15 | 0.79 | 0.63 | 辽宁 | 0.74 | 0.69 | 0.57 | 0.90 |
| 北京 | 0.54 | 0.89 | 0.97 | 0.76 | 内蒙古 | 0.32 | 0.80 | 0.30 | 0.85 |
| 福建 | 0.51 | 0.81 | 0.97 | 0.83 | 宁夏 | 0.15 | 0.15 | 0.60 | 0.60 |
| 甘肃 | 0.24 | 0.90 | 0.89 | 0.86 | 青海 | 0.39 | 0.67 | 0.92 | 0.72 |
| 广东 | 0.78 | 0.64 | 0.88 | 0.75 | 山东 | 0.68 | 0.61 | 0.56 | 0.90 |
| 广西 | 0.68 | 0.36 | 0.96 | 0.81 | 山西 | 0.88 | 0.43 | 0.80 | 0.66 |
| 贵州 | 0.43 | 0.80 | 0.94 | 0.65 | 陕西 | 0.16 | 0.60 | 0.83 | 0.72 |
| 海南 | 0.31 | 0.53 | 0.86 | 0.71 | 上海 | 0.21 | 0.56 | 0.85 | 0.82 |
| 河北 | 0.59 | 0.76 | 0.97 | 0.90 | 四川 | 0.26 | 0.91 | 0.48 | 0.86 |
| 河南 | 0.67 | 0.37 | 0.88 | 0.83 | 天津 | 0.48 | 0.37 | 0.95 | 0.78 |
| 黑龙江 | 0.47 | 0.73 | 0.90 | 0.83 | 西藏 | 0.14 | 0.10 | 0.85 | 0.60 |
| 湖北 | 0.12 | 0.15 | 0.81 | 0.59 | 新疆 | 0.65 | 0.88 | 0.89 | 0.87 |
| 湖南 | 0.62 | 0.79 | 0.89 | 0.91 | 云南 | 0.30 | 0.66 | 0.92 | 0.74 |
| 吉林 | 0.56 | 0.83 | 0.84 | 0.86 | 浙江 | 0.62 | 0.64 | 0.75 | 0.64 |
| 江苏 | 0.62 | 0.68 | 0.98 | 0.86 | 重庆 | 0.28 | 0.70 | 0.91 | 0.93 |
| 江西 | 0.43 | 0.71 | 0.82 | 0.99 | |||||
| 变量 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
|---|---|---|---|---|---|---|---|---|---|
| 1 Innovation | 1 | ||||||||
| 2 Compliance | 0.165*** | 1 | |||||||
| 3 Convergence | -0.048 | 0.159*** | 1 | ||||||
| 4 Turnover | -0.083 | -0.033 | 0.059 | 1 | |||||
| 5 Gdp | 0.784*** | 0.109* | -0.121** | -0.113** | 1 | ||||
| 6 Industry | -0.489*** | -0.076 | -0.065 | 0.075 | -0.309*** | 1 | |||
| 7 HC | 0.520*** | 0.041 | 0.042 | -0.027 | 0.560*** | -0.335*** | 1 | ||
| 8 Fiscal | 0.318*** | -0.232*** | -0.202*** | -0.083 | 0.342*** | -0.390*** | 0.110* | 1 | |
| 9 Market | 0.832*** | 0.011 | -0.117** | -0.109* | 0.610*** | -0.535*** | 0.579*** | 0.439*** | 1 |
| Min | 0.10 | 0.04 | 0.24 | 0 | 2.31 | 0.16 | 31.88 | 0.59 | 0.39 |
| Max | 40.35 | 0.96 | 0.99 | 1 | 19.05 | 0.57 | 275.54 | 7.12 | 28.98 |
| Std. | 4.62 | 0.24 | 0.13 | 0.46 | 3.05 | 0.08 | 45.58 | 0.92 | 4.43 |
| Mean | 2.59 | 0.51 | 0.79 | 0.30 | 6.37 | 0.41 | 123.33 | 1.59 | 3.94 |
| Obs. | 310 | 285 | 285 | 310 | 310 | 310 | 310 | 310 | 310 |
Table 3 Descriptive statistical results and correlation analysis of main variables
| 变量 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
|---|---|---|---|---|---|---|---|---|---|
| 1 Innovation | 1 | ||||||||
| 2 Compliance | 0.165*** | 1 | |||||||
| 3 Convergence | -0.048 | 0.159*** | 1 | ||||||
| 4 Turnover | -0.083 | -0.033 | 0.059 | 1 | |||||
| 5 Gdp | 0.784*** | 0.109* | -0.121** | -0.113** | 1 | ||||
| 6 Industry | -0.489*** | -0.076 | -0.065 | 0.075 | -0.309*** | 1 | |||
| 7 HC | 0.520*** | 0.041 | 0.042 | -0.027 | 0.560*** | -0.335*** | 1 | ||
| 8 Fiscal | 0.318*** | -0.232*** | -0.202*** | -0.083 | 0.342*** | -0.390*** | 0.110* | 1 | |
| 9 Market | 0.832*** | 0.011 | -0.117** | -0.109* | 0.610*** | -0.535*** | 0.579*** | 0.439*** | 1 |
| Min | 0.10 | 0.04 | 0.24 | 0 | 2.31 | 0.16 | 31.88 | 0.59 | 0.39 |
| Max | 40.35 | 0.96 | 0.99 | 1 | 19.05 | 0.57 | 275.54 | 7.12 | 28.98 |
| Std. | 4.62 | 0.24 | 0.13 | 0.46 | 3.05 | 0.08 | 45.58 | 0.92 | 4.43 |
| Mean | 2.59 | 0.51 | 0.79 | 0.30 | 6.37 | 0.41 | 123.33 | 1.59 | 3.94 |
| Obs. | 310 | 285 | 285 | 310 | 310 | 310 | 310 | 310 | 310 |
| 变量 | (1) | (2) | (3) | (4) |
|---|---|---|---|---|
| Compliance | 1.7878*** | 2.1840*** | ||
| (0.6329) | (0.7536) | |||
| Convergence | 12.8633*** | 12.3849*** | ||
| (4.2163) | (4.6243) | |||
| Convergence_sq | -8.0144*** | -7.4817** | ||
| (3.0237) | (3.3612) | |||
| Compliance×Turnover | -1.2453* | |||
| (0.6560) | ||||
| Convergence×Turnover | 0.4012 | |||
| (7.1222) | ||||
| Convergence_sq×Turnover | -0.9432 | |||
| (4.9826) | ||||
| Turnover | 0.5562 | 0.2150 | ||
| (0.3525) | (2.4955) | |||
| GDP | 1.4101*** | 1.4374*** | 1.3986*** | 1.4378*** |
| (0.3078) | (0.3152) | (0.3033) | (0.3168) | |
| Industry | -0.6459 | 2.4987 | -1.0144 | 2.4138 |
| (3.2238) | (3.7278) | (3.2858) | (3.7518) | |
| HC | 0.0105 | 0.0094 | 0.0086 | 0.0087 |
| (0.0085) | (0.0088) | (0.0088) | (0.0089) | |
| Fiscal | -0.5692 | -0.2175 | -0.5020 | -0.1987 |
| (0.8560) | (0.8843) | (0.8490) | (0.8882) | |
| Market | 0.4902*** | 0.5250*** | 0.4965*** | 0.5316*** |
| (0.1204) | (0.1279) | (0.1199) | (0.1295) | |
| 常数项 | -8.8262*** | -14.9596*** | -8.6777*** | -14.8248*** |
| (2.5981) | (3.9362) | (2.6302) | (3.9567) | |
| 时间固定 | Yes | Yes | Yes | Yes |
| 个体固定 | Yes | Yes | Yes | Yes |
| N | 254 | 254 | 254 | 254 |
| adj. R2 | 0.9375 | 0.9374 | 0.9377 | 0.9367 |
Table 4 Basic regression results
| 变量 | (1) | (2) | (3) | (4) |
|---|---|---|---|---|
| Compliance | 1.7878*** | 2.1840*** | ||
| (0.6329) | (0.7536) | |||
| Convergence | 12.8633*** | 12.3849*** | ||
| (4.2163) | (4.6243) | |||
| Convergence_sq | -8.0144*** | -7.4817** | ||
| (3.0237) | (3.3612) | |||
| Compliance×Turnover | -1.2453* | |||
| (0.6560) | ||||
| Convergence×Turnover | 0.4012 | |||
| (7.1222) | ||||
| Convergence_sq×Turnover | -0.9432 | |||
| (4.9826) | ||||
| Turnover | 0.5562 | 0.2150 | ||
| (0.3525) | (2.4955) | |||
| GDP | 1.4101*** | 1.4374*** | 1.3986*** | 1.4378*** |
| (0.3078) | (0.3152) | (0.3033) | (0.3168) | |
| Industry | -0.6459 | 2.4987 | -1.0144 | 2.4138 |
| (3.2238) | (3.7278) | (3.2858) | (3.7518) | |
| HC | 0.0105 | 0.0094 | 0.0086 | 0.0087 |
| (0.0085) | (0.0088) | (0.0088) | (0.0089) | |
| Fiscal | -0.5692 | -0.2175 | -0.5020 | -0.1987 |
| (0.8560) | (0.8843) | (0.8490) | (0.8882) | |
| Market | 0.4902*** | 0.5250*** | 0.4965*** | 0.5316*** |
| (0.1204) | (0.1279) | (0.1199) | (0.1295) | |
| 常数项 | -8.8262*** | -14.9596*** | -8.6777*** | -14.8248*** |
| (2.5981) | (3.9362) | (2.6302) | (3.9567) | |
| 时间固定 | Yes | Yes | Yes | Yes |
| 个体固定 | Yes | Yes | Yes | Yes |
| N | 254 | 254 | 254 | 254 |
| adj. R2 | 0.9375 | 0.9374 | 0.9377 | 0.9367 |
| Convergence | ||
|---|---|---|
| Lower Bound | Upper Bound | |
| Interval | 0.2359 | 0.9902 |
| Slope | 9.0820 | -3.0079 |
| t-value | 3.2304 | -1.5744 |
| P>|t| | 0.0007 | 0.0585 |
| Extreme Point | 估计值 | 95%置信区间 |
| 0.8025 | [0.7246,1.1587] | |
Table 5 Results of the U-test
| Convergence | ||
|---|---|---|
| Lower Bound | Upper Bound | |
| Interval | 0.2359 | 0.9902 |
| Slope | 9.0820 | -3.0079 |
| t-value | 3.2304 | -1.5744 |
| P>|t| | 0.0007 | 0.0585 |
| Extreme Point | 估计值 | 95%置信区间 |
| 0.8025 | [0.7246,1.1587] | |
| 变量 | (1) | (2) | (3) | (4) |
|---|---|---|---|---|
| Compliance t-1 | 4.3953*** | |||
| (0.5100) | ||||
| Convergence t-1 | 0.9286*** | |||
| (0.1725) | ||||
| Compliance | 1.2656** | |||
| (0.5209) | ||||
| Convergence | 14.7498*** | |||
| (4.7814) | ||||
| Convergence_sq | -9.5843*** | |||
| (3.4606) | ||||
| IMR | 0.0441 | 0.6746* | ||
| (0.2197) | (0.3894) | |||
| 常数项 | -1.2985 | 0.3990 | -8.5552*** | -14.6382*** |
| (0.8485) | (0.7111) | (2.9474) | (4.1131) | |
| 控制变量 | Yes | Yes | Yes | Yes |
| N | 254 | 254 | 223 | 223 |
Table 6 Results of the Heckman two-stage model
| 变量 | (1) | (2) | (3) | (4) |
|---|---|---|---|---|
| Compliance t-1 | 4.3953*** | |||
| (0.5100) | ||||
| Convergence t-1 | 0.9286*** | |||
| (0.1725) | ||||
| Compliance | 1.2656** | |||
| (0.5209) | ||||
| Convergence | 14.7498*** | |||
| (4.7814) | ||||
| Convergence_sq | -9.5843*** | |||
| (3.4606) | ||||
| IMR | 0.0441 | 0.6746* | ||
| (0.2197) | (0.3894) | |||
| 常数项 | -1.2985 | 0.3990 | -8.5552*** | -14.6382*** |
| (0.8485) | (0.7111) | (2.9474) | (4.1131) | |
| 控制变量 | Yes | Yes | Yes | Yes |
| N | 254 | 254 | 223 | 223 |
| 变量 | Innovation_index t+1 | Innovation t+2 | ||||||
|---|---|---|---|---|---|---|---|---|
| (1) | (2) | (3) | (4) | (5) | (6) | (7) | (8) | |
| Compliance | 0.0844*** | 0.1071*** | 1.8448*** | 2.5423*** | ||||
| (0.0238) | (0.0276) | (0.5733) | (0.6576) | |||||
| Convergence | 0.5629*** | 0.5534*** | 13.9210*** | 14.1659*** | ||||
| (0.1831) | (0.2106) | (4.3231) | (4.7650) | |||||
| Convergence_sq | -0.3652*** | -0.3513** | -9.0987*** | -9.0511*** | ||||
| (0.1293) | (0.1504) | (3.0634) | (3.3731) | |||||
| Compliance×Turnover | -0.0625** | -1.8859*** | ||||||
| (0.0258) | (0.6508) | |||||||
| Convergence× Turnover | -0.0065 | -2.0622 | ||||||
| (0.3029) | (6.2874) | |||||||
| Convergence_sq× Turnover | -0.0162 | 0.7988 | ||||||
| (0.2080) | (4.4521) | |||||||
| Turnover | 0.0269** | 0.0112 | 0.7287** | 0.9037 | ||||
| (0.0127) | (0.1094) | (0.3335) | (2.1822) | |||||
| 常数项 | -0.4057*** | -0.6836*** | -0.3958*** | -0.6775*** | -8.0716*** | -14.8415*** | -7.6480*** | -14.7209*** |
| (0.1000) | (0.1661) | (0.0992) | (0.1705) | (2.5037) | (4.0405) | (2.5150) | (4.1455) | |
| 控制变量 | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes |
| 时间固定 | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes |
| 个体固定 | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes |
| N | 223 | 223 | 223 | 223 | 223 | 223 | 223 | 223 |
| adj. R2 | 0.9284 | 0.9260 | 0.9300 | 0.9250 | 0.9579 | 0.9573 | 0.9597 | 0.9571 |
Table 7 Robustness test results
| 变量 | Innovation_index t+1 | Innovation t+2 | ||||||
|---|---|---|---|---|---|---|---|---|
| (1) | (2) | (3) | (4) | (5) | (6) | (7) | (8) | |
| Compliance | 0.0844*** | 0.1071*** | 1.8448*** | 2.5423*** | ||||
| (0.0238) | (0.0276) | (0.5733) | (0.6576) | |||||
| Convergence | 0.5629*** | 0.5534*** | 13.9210*** | 14.1659*** | ||||
| (0.1831) | (0.2106) | (4.3231) | (4.7650) | |||||
| Convergence_sq | -0.3652*** | -0.3513** | -9.0987*** | -9.0511*** | ||||
| (0.1293) | (0.1504) | (3.0634) | (3.3731) | |||||
| Compliance×Turnover | -0.0625** | -1.8859*** | ||||||
| (0.0258) | (0.6508) | |||||||
| Convergence× Turnover | -0.0065 | -2.0622 | ||||||
| (0.3029) | (6.2874) | |||||||
| Convergence_sq× Turnover | -0.0162 | 0.7988 | ||||||
| (0.2080) | (4.4521) | |||||||
| Turnover | 0.0269** | 0.0112 | 0.7287** | 0.9037 | ||||
| (0.0127) | (0.1094) | (0.3335) | (2.1822) | |||||
| 常数项 | -0.4057*** | -0.6836*** | -0.3958*** | -0.6775*** | -8.0716*** | -14.8415*** | -7.6480*** | -14.7209*** |
| (0.1000) | (0.1661) | (0.0992) | (0.1705) | (2.5037) | (4.0405) | (2.5150) | (4.1455) | |
| 控制变量 | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes |
| 时间固定 | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes |
| 个体固定 | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes |
| N | 223 | 223 | 223 | 223 | 223 | 223 | 223 | 223 |
| adj. R2 | 0.9284 | 0.9260 | 0.9300 | 0.9250 | 0.9579 | 0.9573 | 0.9597 | 0.9571 |
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