浙江农业学报 ›› 2024, Vol. 36 ›› Issue (9): 2155-2169.DOI: 10.3969/j.issn.1004-1524.20230953
收稿日期:2023-08-07
									
				
									
				
									
				
											出版日期:2024-09-25
									
				
											发布日期:2024-09-30
									
			作者简介:郭梦婷(1994—),女,浙江舟山人,硕士,讲师,研究方向为数字金融、农村金融。E-mail:251430350@qq.com
				
							基金资助:Received:2023-08-07
									
				
									
				
									
				
											Online:2024-09-25
									
				
											Published:2024-09-30
									
			摘要:
数字普惠金融作为数智化时代下金融产业的新业态,是优化金融资源配置、赋能山区金融发展、提高农业生产效益的重要助力。文章基于2014—2021年我国浙江省山区26县的县域面板数据,运用 DEA-Malmquist 指数法测算出其农业全要素生产率及分解指标,构建固定效应模型实证检验数字普惠金融对农业全要素生产率的影响,并进行异质性分析。结果表明,浙江省山区26县数字普惠金融及其三类细分维度均对农业全要素生产率具有正向促进作用,且主要体现在推动农业技术进步;从各维度看,对农业全要素生产率促进作用最强的是数字普惠金融产品和服务的使用深度,覆盖广度次之,数字化程度最弱;同时,数字普惠金融在浙江省山区26县的西部地带的提升作用更强。为此,应加快推动数字普惠金融在山区县域的发展与覆盖,深入完善数字普惠金融基础设施建设,着力提升数字普惠金融受众群体素养,为提高农业全要素生产率增势赋能。
中图分类号:
郭梦婷. 山区县域数字普惠金融赋能农业全要素生产率提升研究——以浙江省山区26县为例[J]. 浙江农业学报, 2024, 36(9): 2155-2169.
GUO Mengting. Research on empowering agricultural total factor productivity with digital inclusive finance in mountainous counties: taking 26 mountainous counties in Zhejiang Province of China as an example[J]. Acta Agriculturae Zhejiangensis, 2024, 36(9): 2155-2169.
																													图1 山区县域数字普惠金融对农业全要素生产率影响机制的分析框架
Fig.1 Analysis framework of the impact mechanism of digital inclusive finance in mountainous counties on total factor productivity of agriculture
| 县域County | 2014 | 2015 | 2016 | 2017 | 2018 | 2019 | 2020 | 2021 | 平均Average | 
|---|---|---|---|---|---|---|---|---|---|
| 淳安Chun’an | 1.056 | 1.115 | 1.184 | 1.184 | 1.184 | 1.259 | 1.269 | 1.339 | 1.199 | 
| 永嘉Yongjia | 1.000 | 1.057 | 1.221 | 1.373 | 1.535 | 1.660 | 1.745 | 2.006 | 1.450 | 
| 平阳Pingyang | 1.016 | 1.119 | 1.246 | 1.274 | 1.291 | 1.420 | 1.562 | 1.362 | 1.286 | 
| 苍南Cangnan | 1.062 | 1.122 | 1.209 | 1.240 | 1.254 | 1.007 | 1.425 | 1.460 | 1.223 | 
| 文成Wencheng | 1.111 | 1.247 | 1.364 | 1.465 | 1.475 | 1.497 | 1.512 | 1.488 | 1.395 | 
| 泰顺Taishun | 1.004 | 1.138 | 1.153 | 1.242 | 1.203 | 1.390 | 1.458 | 1.375 | 1.245 | 
| 武义Wuyi | 1.036 | 1.039 | 1.077 | 1.258 | 1.466 | 1.578 | 1.194 | 1.196 | 1.231 | 
| 磐安Pan’an | 1.091 | 1.112 | 1.041 | 0.979 | 1.011 | 1.059 | 1.081 | 1.087 | 1.058 | 
| 江山Jiangshan | 0.995 | 1.004 | 1.022 | 0.894 | 0.944 | 1.037 | 1.132 | 1.070 | 1.012 | 
| 常山Changshan | 1.059 | 1.211 | 1.323 | 1.577 | 1.720 | 1.825 | 1.951 | 2.054 | 1.590 | 
| 开化Kaihua | 1.038 | 1.049 | 1.052 | 1.338 | 1.465 | 1.414 | 1.653 | 1.584 | 1.324 | 
| 龙游Longyou | 1.003 | 0.927 | 1.092 | 1.164 | 1.049 | 1.169 | 1.252 | 1.081 | 1.092 | 
| 三门Sanmen | 1.000 | 1.057 | 1.221 | 1.373 | 1.535 | 1.660 | 1.745 | 2.006 | 1.450 | 
| 天台Tiantai | 1.047 | 1.116 | 1.178 | 1.147 | 1.224 | 1.370 | 1.733 | 1.698 | 1.314 | 
| 仙居Xianju | 0.998 | 1.006 | 1.082 | 0.939 | 1.016 | 1.241 | 1.540 | 1.563 | 1.173 | 
| 龙泉Longquan | 1.056 | 1.105 | 1.210 | 1.331 | 1.370 | 1.449 | 1.537 | 1.517 | 1.322 | 
| 青田Qingtian | 1.068 | 1.100 | 2.262 | 1.259 | 1.304 | 1.471 | 1.473 | 1.440 | 1.422 | 
| 云和Yunhe | 1.080 | 1.152 | 1.234 | 1.253 | 1.303 | 1.341 | 1.347 | 1.166 | 1.235 | 
| 缙云Jinyun | 1.080 | 1.115 | 1.199 | 1.469 | 1.514 | 1.584 | 1.717 | 1.718 | 1.425 | 
| 遂昌Suichang | 1.043 | 1.063 | 1.089 | 1.102 | 1.053 | 1.151 | 1.125 | 1.062 | 1.086 | 
| 松阳Songyang | 1.046 | 1.067 | 1.142 | 1.062 | 1.102 | 1.222 | 1.284 | 1.314 | 1.155 | 
| 景宁Jingning | 1.041 | 1.056 | 1.175 | 1.145 | 1.156 | 1.220 | 1.299 | 1.268 | 1.170 | 
| 平均值Average | 1.042 | 1.090 | 1.217 | 1.230 | 1.281 | 1.365 | 1.456 | 1.448 | |
| 最小值Min | 0.995 | 0.927 | 1.022 | 0.894 | 0.944 | 1.007 | 1.081 | 1.062 | |
| 最大值Max | 1.111 | 1.247 | 2.262 | 1.577 | 1.720 | 1.825 | 1.951 | 2.054 | 
表1 2014—2021各县农业全要素生产率
Table 1 Total factor productivity of agriculture in each county from 2014 to 2021
| 县域County | 2014 | 2015 | 2016 | 2017 | 2018 | 2019 | 2020 | 2021 | 平均Average | 
|---|---|---|---|---|---|---|---|---|---|
| 淳安Chun’an | 1.056 | 1.115 | 1.184 | 1.184 | 1.184 | 1.259 | 1.269 | 1.339 | 1.199 | 
| 永嘉Yongjia | 1.000 | 1.057 | 1.221 | 1.373 | 1.535 | 1.660 | 1.745 | 2.006 | 1.450 | 
| 平阳Pingyang | 1.016 | 1.119 | 1.246 | 1.274 | 1.291 | 1.420 | 1.562 | 1.362 | 1.286 | 
| 苍南Cangnan | 1.062 | 1.122 | 1.209 | 1.240 | 1.254 | 1.007 | 1.425 | 1.460 | 1.223 | 
| 文成Wencheng | 1.111 | 1.247 | 1.364 | 1.465 | 1.475 | 1.497 | 1.512 | 1.488 | 1.395 | 
| 泰顺Taishun | 1.004 | 1.138 | 1.153 | 1.242 | 1.203 | 1.390 | 1.458 | 1.375 | 1.245 | 
| 武义Wuyi | 1.036 | 1.039 | 1.077 | 1.258 | 1.466 | 1.578 | 1.194 | 1.196 | 1.231 | 
| 磐安Pan’an | 1.091 | 1.112 | 1.041 | 0.979 | 1.011 | 1.059 | 1.081 | 1.087 | 1.058 | 
| 江山Jiangshan | 0.995 | 1.004 | 1.022 | 0.894 | 0.944 | 1.037 | 1.132 | 1.070 | 1.012 | 
| 常山Changshan | 1.059 | 1.211 | 1.323 | 1.577 | 1.720 | 1.825 | 1.951 | 2.054 | 1.590 | 
| 开化Kaihua | 1.038 | 1.049 | 1.052 | 1.338 | 1.465 | 1.414 | 1.653 | 1.584 | 1.324 | 
| 龙游Longyou | 1.003 | 0.927 | 1.092 | 1.164 | 1.049 | 1.169 | 1.252 | 1.081 | 1.092 | 
| 三门Sanmen | 1.000 | 1.057 | 1.221 | 1.373 | 1.535 | 1.660 | 1.745 | 2.006 | 1.450 | 
| 天台Tiantai | 1.047 | 1.116 | 1.178 | 1.147 | 1.224 | 1.370 | 1.733 | 1.698 | 1.314 | 
| 仙居Xianju | 0.998 | 1.006 | 1.082 | 0.939 | 1.016 | 1.241 | 1.540 | 1.563 | 1.173 | 
| 龙泉Longquan | 1.056 | 1.105 | 1.210 | 1.331 | 1.370 | 1.449 | 1.537 | 1.517 | 1.322 | 
| 青田Qingtian | 1.068 | 1.100 | 2.262 | 1.259 | 1.304 | 1.471 | 1.473 | 1.440 | 1.422 | 
| 云和Yunhe | 1.080 | 1.152 | 1.234 | 1.253 | 1.303 | 1.341 | 1.347 | 1.166 | 1.235 | 
| 缙云Jinyun | 1.080 | 1.115 | 1.199 | 1.469 | 1.514 | 1.584 | 1.717 | 1.718 | 1.425 | 
| 遂昌Suichang | 1.043 | 1.063 | 1.089 | 1.102 | 1.053 | 1.151 | 1.125 | 1.062 | 1.086 | 
| 松阳Songyang | 1.046 | 1.067 | 1.142 | 1.062 | 1.102 | 1.222 | 1.284 | 1.314 | 1.155 | 
| 景宁Jingning | 1.041 | 1.056 | 1.175 | 1.145 | 1.156 | 1.220 | 1.299 | 1.268 | 1.170 | 
| 平均值Average | 1.042 | 1.090 | 1.217 | 1.230 | 1.281 | 1.365 | 1.456 | 1.448 | |
| 最小值Min | 0.995 | 0.927 | 1.022 | 0.894 | 0.944 | 1.007 | 1.081 | 1.062 | |
| 最大值Max | 1.111 | 1.247 | 2.262 | 1.577 | 1.720 | 1.825 | 1.951 | 2.054 | 
| 变量 Variable type  |  变量名 Variable name  |  定义 Definition  |  均值 Mean value  |  标准差 Standard deviation  |  最小值 Minimum value  |  最大值 Maximum value  | 
|---|---|---|---|---|---|---|
| 被解释变量 Explained variable  |  lnAtfp | 农业全要素生产率取对数 Logarithm of agricultural total factor productivity  |  0.222 | 0.181 | -0.076 | 0.720 | 
| lnTech | 农业技术进步取对数 Logarithm of agricultural technological progress  |  0.453 | 0.287 | 0.029 | 0.998 | |
| lnEff | 农业技术效率变动取对数 Logarithm of changes in agricultural technology efficiency  |  -0.230 | 0.225 | -0.876 | 0.092 | |
| 解释变量 Explanatory variable  |  lnDifi | 数字普惠金融指数取对数 Logarithm of the digital inclusive finance index  |  4.687 | 0.161 | 4.233 | 4.877 | 
| lnCov | 数字普惠金融覆盖广度指数取对数 Logarithm of coverage breadth of digital inclusive finance  |  4.594 | 0.079 | 4.331 | 4.877 | |
| lnDep | 数字普惠金融使用深度指数取对数 Logarithm of depth of use of digital inclusive finance  |  4.925 | 0.248 | 4.312 | 5.238 | |
| lnDig | 数字普惠金融数字化程度指数取对数 Logarithm of degree of digitalization of digital inclusive finance  |  4.312 | 0.659 | 2.302 | 4.863 | |
| 控制变量 Control variable  |  Gdp | 人均生产总值/万元 Per capita gross domestic product×104 yuan  |  5.269 | 1.420 | 1.805 | 7.973 | 
| Popul | 人口密度/(万人·km-2) Population density/(10 000 people·km-2)  |  0.030 | 0.023 | 0.009 | 0.108 | |
| Traff | 交通便利程度/(km·万人-1) Transportation convenience/(km per 10 000 people)  |  45.917 | 25.568 | 6.911 | 116.695 | |
| Innov | 区域创新水平/(项·万人-1) Regional innovation level/(items per 10 000 people)  |  21.188 | 17.708 | 4.039 | 120.200 | 
表2 变量的描述性统计
Table 2 Descriptive statistics of variables
| 变量 Variable type  |  变量名 Variable name  |  定义 Definition  |  均值 Mean value  |  标准差 Standard deviation  |  最小值 Minimum value  |  最大值 Maximum value  | 
|---|---|---|---|---|---|---|
| 被解释变量 Explained variable  |  lnAtfp | 农业全要素生产率取对数 Logarithm of agricultural total factor productivity  |  0.222 | 0.181 | -0.076 | 0.720 | 
| lnTech | 农业技术进步取对数 Logarithm of agricultural technological progress  |  0.453 | 0.287 | 0.029 | 0.998 | |
| lnEff | 农业技术效率变动取对数 Logarithm of changes in agricultural technology efficiency  |  -0.230 | 0.225 | -0.876 | 0.092 | |
| 解释变量 Explanatory variable  |  lnDifi | 数字普惠金融指数取对数 Logarithm of the digital inclusive finance index  |  4.687 | 0.161 | 4.233 | 4.877 | 
| lnCov | 数字普惠金融覆盖广度指数取对数 Logarithm of coverage breadth of digital inclusive finance  |  4.594 | 0.079 | 4.331 | 4.877 | |
| lnDep | 数字普惠金融使用深度指数取对数 Logarithm of depth of use of digital inclusive finance  |  4.925 | 0.248 | 4.312 | 5.238 | |
| lnDig | 数字普惠金融数字化程度指数取对数 Logarithm of degree of digitalization of digital inclusive finance  |  4.312 | 0.659 | 2.302 | 4.863 | |
| 控制变量 Control variable  |  Gdp | 人均生产总值/万元 Per capita gross domestic product×104 yuan  |  5.269 | 1.420 | 1.805 | 7.973 | 
| Popul | 人口密度/(万人·km-2) Population density/(10 000 people·km-2)  |  0.030 | 0.023 | 0.009 | 0.108 | |
| Traff | 交通便利程度/(km·万人-1) Transportation convenience/(km per 10 000 people)  |  45.917 | 25.568 | 6.911 | 116.695 | |
| Innov | 区域创新水平/(项·万人-1) Regional innovation level/(items per 10 000 people)  |  21.188 | 17.708 | 4.039 | 120.200 | 
| 项目 Item  |  农业全要素生产率 Total factor productivity of agriculture  |  农业技术进步 Agricultural technological progress  |  农业技术效率 Agricultural technology efficiency  | |||
|---|---|---|---|---|---|---|
| (1) | (2) | (3) | (4) | (5) | (6) | |
| 数字普惠金融 | 0.626*** | 0.270*** | 1.421*** | 0.539*** | -0.799*** | -0.287** | 
| Digital inclusive finance | (7.910) | (2.945) | (17.400) | (7.480) | (-8.853) | (-2.334) | 
| 人均生产总值 | 0.045*** | 0.101*** | -0.054** | |||
| Per capita gross domestic product | (2.969) | (6.794) | (-2.427) | |||
| 人口密度 | -7.609*** | -3.214** | -4.502** | |||
| Population density | (-5.566) | (-2.319) | (-2.684) | |||
| 交通便利程度 | 0.002** | 0.010*** | -0.008*** | |||
| Transportation convenience | (1.444) | (4.726) | (-3.216) | |||
| 区域创新水平 | 0.001* | 0.003** | -0.002* | |||
| Regional innovation level | (1.160) | (2.302) | (-2.077) | |||
| 常数项Cons | -2.710*** | -1.169** | -6.206*** | -3.037*** | 3.515*** | 1.943*** | 
| (-7.310) | (-2.747) | (-16.217) | (-8.852) | (8.310) | (3.591) | |
| 地区效应Regional effects | 控制Control | 控制Control | 控制Control | 控制Control | 控制Control | 控制Control | 
| n | 176 | 176 | 176 | 176 | 176 | 176 | 
| R2 | 0.482 | 0.541 | 0.716 | 0.839 | 0.535 | 0.644 | 
表3 数字普惠金融对农业全要素生产率及其分解项的影响
Table 3 Impact of digital inclusive finance on agricultural total factor productivity and its decomposition terms
| 项目 Item  |  农业全要素生产率 Total factor productivity of agriculture  |  农业技术进步 Agricultural technological progress  |  农业技术效率 Agricultural technology efficiency  | |||
|---|---|---|---|---|---|---|
| (1) | (2) | (3) | (4) | (5) | (6) | |
| 数字普惠金融 | 0.626*** | 0.270*** | 1.421*** | 0.539*** | -0.799*** | -0.287** | 
| Digital inclusive finance | (7.910) | (2.945) | (17.400) | (7.480) | (-8.853) | (-2.334) | 
| 人均生产总值 | 0.045*** | 0.101*** | -0.054** | |||
| Per capita gross domestic product | (2.969) | (6.794) | (-2.427) | |||
| 人口密度 | -7.609*** | -3.214** | -4.502** | |||
| Population density | (-5.566) | (-2.319) | (-2.684) | |||
| 交通便利程度 | 0.002** | 0.010*** | -0.008*** | |||
| Transportation convenience | (1.444) | (4.726) | (-3.216) | |||
| 区域创新水平 | 0.001* | 0.003** | -0.002* | |||
| Regional innovation level | (1.160) | (2.302) | (-2.077) | |||
| 常数项Cons | -2.710*** | -1.169** | -6.206*** | -3.037*** | 3.515*** | 1.943*** | 
| (-7.310) | (-2.747) | (-16.217) | (-8.852) | (8.310) | (3.591) | |
| 地区效应Regional effects | 控制Control | 控制Control | 控制Control | 控制Control | 控制Control | 控制Control | 
| n | 176 | 176 | 176 | 176 | 176 | 176 | 
| R2 | 0.482 | 0.541 | 0.716 | 0.839 | 0.535 | 0.644 | 
| 项目 Item  |  农业全要素生产率 Total factor productivity of agriculture  |  农业技术进步 Agricultural technological progress  |  农业技术效率 Agricultural technology efficiency  | ||||||
|---|---|---|---|---|---|---|---|---|---|
| (a1) | (a2) | (a3) | (b1) | (b2) | (b3) | (c1) | (c2) | (c3) | |
| 数字普惠金融覆盖广度 | 0.162*** | 0.261** | -0.105* | ||||||
| Coverage breadth of digital | (3.645) | (2.691) | (-1.846) | ||||||
| inclusive finance | |||||||||
| 数字普惠金融使用深度 | 0.210*** | 0.411*** | -0.218** | ||||||
| Depth of use of digital | (4.688) | (6.077) | (-2.194) | ||||||
| inclusive finance | |||||||||
| 数字普惠金融数字化程度 | 0.059** | 0.105*** | -0.050* | ||||||
| Degree of digitalization of | (2.644) | (4.402) | (-1.839) | ||||||
| digital inclusive finance | |||||||||
| 人均生产总值 | 0.070*** | 0.038** | 0.046** | 0.152*** | 0.089*** | 0.108*** | -0.081*** | -0.048* | -0.060** | 
| Per capita gross | (5.200) | (2.135) | (2.637) | (10.900) | (5.546) | (5.571) | (-4.718) | (-1.827) | (-2.444) | 
| domestic product | |||||||||
| 人口密度 | -8.484*** | -7.170*** | -7.985*** | -4.977** | -2.383* | -4.074*** | -3.553* | -4.938*** | -3.988** | 
| Population density | (-6.229) | (-4.759) | (-6.239) | (-2.311) | (-1.984) | (-3.064) | (-1.950) | (-2.850) | (-2.360) | 
| 交通便利程度 | 0.002* | 0.001 | 0.003** | 0.011*** | 0.009*** | 0.012*** | -0.009*** | -0.007*** | -0.009*** | 
| Transportation convenience | (1.800) | (1.051) | (2.160) | (4.529) | (4.121) | (4.802) | (-3.174) | (-2.934) | (-3.236) | 
| 区域创新水平 | 0.002* | 0.001 | 0.001 | 0.004*** | 0.003** | 0.003** | -0.003** | -0.002* | -0.002** | 
| Regional innovation level | (1.912) | (1.089) | (1.092) | (3.155) | (2.162) | (2.369) | (-2.733) | (-2.040) | (-2.219) | 
| 常数项Cons | -0.791* | -0.885** | -0.203 | -2.001*** | -2.444*** | -1.082*** | 1.238** | 1.624*** | 0.887*** | 
| (-1.767) | (-2.449) | (-1.699) | (-4.198) | (-7.824) | (-7.768) | (2.500) | (3.906) | (5.317) | |
| 地区效应 Regional effects  |  控制 Control  |  控制 Control  |  控制 Control  |  控制 Control  |  控制 Control  |  控制 Control  |  控制 Control  |  控制 Control  |  控制 Control  | 
| n | 176 | 176 | 176 | 176 | 176 | 176 | 176 | 176 | 176 | 
| R2 | 0.521 | 0.544 | 0.534 | 0.813 | 0.841 | 0.826 | 0.625 | 0.645 | 0.633 | 
表4 浙江省山区26县数字普惠金融不同维度对农业全要素生产率及其分解项的影响
Table 4 Impact of different dimensions of digital inclusive finance on agricultural total factor productivity and its decomposition terms in 26 mountainous counties of Zhejiang Province
| 项目 Item  |  农业全要素生产率 Total factor productivity of agriculture  |  农业技术进步 Agricultural technological progress  |  农业技术效率 Agricultural technology efficiency  | ||||||
|---|---|---|---|---|---|---|---|---|---|
| (a1) | (a2) | (a3) | (b1) | (b2) | (b3) | (c1) | (c2) | (c3) | |
| 数字普惠金融覆盖广度 | 0.162*** | 0.261** | -0.105* | ||||||
| Coverage breadth of digital | (3.645) | (2.691) | (-1.846) | ||||||
| inclusive finance | |||||||||
| 数字普惠金融使用深度 | 0.210*** | 0.411*** | -0.218** | ||||||
| Depth of use of digital | (4.688) | (6.077) | (-2.194) | ||||||
| inclusive finance | |||||||||
| 数字普惠金融数字化程度 | 0.059** | 0.105*** | -0.050* | ||||||
| Degree of digitalization of | (2.644) | (4.402) | (-1.839) | ||||||
| digital inclusive finance | |||||||||
| 人均生产总值 | 0.070*** | 0.038** | 0.046** | 0.152*** | 0.089*** | 0.108*** | -0.081*** | -0.048* | -0.060** | 
| Per capita gross | (5.200) | (2.135) | (2.637) | (10.900) | (5.546) | (5.571) | (-4.718) | (-1.827) | (-2.444) | 
| domestic product | |||||||||
| 人口密度 | -8.484*** | -7.170*** | -7.985*** | -4.977** | -2.383* | -4.074*** | -3.553* | -4.938*** | -3.988** | 
| Population density | (-6.229) | (-4.759) | (-6.239) | (-2.311) | (-1.984) | (-3.064) | (-1.950) | (-2.850) | (-2.360) | 
| 交通便利程度 | 0.002* | 0.001 | 0.003** | 0.011*** | 0.009*** | 0.012*** | -0.009*** | -0.007*** | -0.009*** | 
| Transportation convenience | (1.800) | (1.051) | (2.160) | (4.529) | (4.121) | (4.802) | (-3.174) | (-2.934) | (-3.236) | 
| 区域创新水平 | 0.002* | 0.001 | 0.001 | 0.004*** | 0.003** | 0.003** | -0.003** | -0.002* | -0.002** | 
| Regional innovation level | (1.912) | (1.089) | (1.092) | (3.155) | (2.162) | (2.369) | (-2.733) | (-2.040) | (-2.219) | 
| 常数项Cons | -0.791* | -0.885** | -0.203 | -2.001*** | -2.444*** | -1.082*** | 1.238** | 1.624*** | 0.887*** | 
| (-1.767) | (-2.449) | (-1.699) | (-4.198) | (-7.824) | (-7.768) | (2.500) | (3.906) | (5.317) | |
| 地区效应 Regional effects  |  控制 Control  |  控制 Control  |  控制 Control  |  控制 Control  |  控制 Control  |  控制 Control  |  控制 Control  |  控制 Control  |  控制 Control  | 
| n | 176 | 176 | 176 | 176 | 176 | 176 | 176 | 176 | 176 | 
| R2 | 0.521 | 0.544 | 0.534 | 0.813 | 0.841 | 0.826 | 0.625 | 0.645 | 0.633 | 
| 项目 Item  |  东部East | 中部Middle | 西部West | ||||||
|---|---|---|---|---|---|---|---|---|---|
| lnAtfp | lnTech | lnEff | lnAtfp | lnTech | lnEff | lnAtfp | lnTech | lnEff | |
| (a1) | (a2) | (a3) | (b1) | (b2) | (b3) | (c1) | (c2) | (c3) | |
| 数字普惠金融 | 0.255** | 0.340** | -0.091 | 0.192* | 0.579*** | -0.424* | 0.419** | 0.613*** | -0.203 | 
| Digital inclusive finance | (2.471) | (3.465) | (-1.260) | (1.730) | (4.272) | (-2.023) | (2.930) | (9.203) | (-1.347) | 
| 人均生产总值 | 0.018 | 0.090*** | -0.072*** | 0.051** | 0.095** | -0.038 | 0.018 | 0.095** | -0.076* | 
| Per capita gross domestic product | (0.850) | (4.810) | (-4.478) | (2.720) | (3.345) | (-0.964) | (0.761) | (3.682) | (-2.279) | 
| 人口密度 | -8.173** | -3.558 | -4.591** | 50.198 | 59.614 | -13.298 | 28.826 | -138.786 | 161.681 | 
| Population density | (-2.653) | (-1.636) | (-2.560) | (1.018) | (0.849) | (-0.196) | (0.251) | (-1.339) | (0.928) | 
| 交通便利程度 | -0.004 | 0.012** | -0.016** | 0.001 | 0.009*** | -0.008** | 0.013 | 0.009 | 0.004 | 
| Transportation convenience | (-0.611) | (2.852) | (-2.467) | (0.776) | (4.491) | (-2.818) | (0.995) | (0.550) | (0.135) | 
| 区域创新水平 | 0.010** | 0.006** | 0.004 | 0.000 | 0.002 | -0.002 | -0.000 | 0.007 | -0.007 | 
| Regional innovation level | (2.650) | (3.546) | (1.056) | (0.536) | (1.475) | (-1.732) | (-0.192) | (1.606) | (-1.449) | 
| 常数项Cons | -0.744 | -1.924*** | 1.207** | -2.038 | -4.523** | 2.711* | -3.109 | -0.692 | -2.262 | 
| (-1.014) | (-3.851) | (2.516) | (-1.716) | (-3.332) | (2.210) | (-1.475) | (-0.404) | (-0.738) | |
| 地区效应 Regional effects  |  控制 Control  |  控制 Control  |  控制 Control  |  控制 Control  |  控制 Control  |  控制 Control  |  控制 Control  |  控制 Control  |  控制 Control  | 
| n | 56 | 56 | 56 | 64 | 64 | 64 | 56 | 56 | 56 | 
| R2 | 0.584 | 0.867 | 0.677 | 0.506 | 0.771 | 0.641 | 0.591 | 0.911 | 0.715 | 
表5 浙江省山区26县不同区域数字普惠金融对农业全要素生产率及其分解项的影响
Table 5 Impact of digital inclusive finance on agricultural total factor productivity and its decomposition terms in different regions of 26 mountainous counties in Zhejiang Province
| 项目 Item  |  东部East | 中部Middle | 西部West | ||||||
|---|---|---|---|---|---|---|---|---|---|
| lnAtfp | lnTech | lnEff | lnAtfp | lnTech | lnEff | lnAtfp | lnTech | lnEff | |
| (a1) | (a2) | (a3) | (b1) | (b2) | (b3) | (c1) | (c2) | (c3) | |
| 数字普惠金融 | 0.255** | 0.340** | -0.091 | 0.192* | 0.579*** | -0.424* | 0.419** | 0.613*** | -0.203 | 
| Digital inclusive finance | (2.471) | (3.465) | (-1.260) | (1.730) | (4.272) | (-2.023) | (2.930) | (9.203) | (-1.347) | 
| 人均生产总值 | 0.018 | 0.090*** | -0.072*** | 0.051** | 0.095** | -0.038 | 0.018 | 0.095** | -0.076* | 
| Per capita gross domestic product | (0.850) | (4.810) | (-4.478) | (2.720) | (3.345) | (-0.964) | (0.761) | (3.682) | (-2.279) | 
| 人口密度 | -8.173** | -3.558 | -4.591** | 50.198 | 59.614 | -13.298 | 28.826 | -138.786 | 161.681 | 
| Population density | (-2.653) | (-1.636) | (-2.560) | (1.018) | (0.849) | (-0.196) | (0.251) | (-1.339) | (0.928) | 
| 交通便利程度 | -0.004 | 0.012** | -0.016** | 0.001 | 0.009*** | -0.008** | 0.013 | 0.009 | 0.004 | 
| Transportation convenience | (-0.611) | (2.852) | (-2.467) | (0.776) | (4.491) | (-2.818) | (0.995) | (0.550) | (0.135) | 
| 区域创新水平 | 0.010** | 0.006** | 0.004 | 0.000 | 0.002 | -0.002 | -0.000 | 0.007 | -0.007 | 
| Regional innovation level | (2.650) | (3.546) | (1.056) | (0.536) | (1.475) | (-1.732) | (-0.192) | (1.606) | (-1.449) | 
| 常数项Cons | -0.744 | -1.924*** | 1.207** | -2.038 | -4.523** | 2.711* | -3.109 | -0.692 | -2.262 | 
| (-1.014) | (-3.851) | (2.516) | (-1.716) | (-3.332) | (2.210) | (-1.475) | (-0.404) | (-0.738) | |
| 地区效应 Regional effects  |  控制 Control  |  控制 Control  |  控制 Control  |  控制 Control  |  控制 Control  |  控制 Control  |  控制 Control  |  控制 Control  |  控制 Control  | 
| n | 56 | 56 | 56 | 64 | 64 | 64 | 56 | 56 | 56 | 
| R2 | 0.584 | 0.867 | 0.677 | 0.506 | 0.771 | 0.641 | 0.591 | 0.911 | 0.715 | 
| 项目Item | 农业全要素生产率 Total factor productivity of agriculture  |  农业技术进步 Agricultural technological progress  |  农业技术效率 Agricultural technology efficiency  | |||
|---|---|---|---|---|---|---|
| 第一阶段 First stage  |  第二阶段 Second stage  |  第一阶段 First stage  |  第二阶段 Second stage  |  第一阶段 First stage  |  第二阶段 Second stage  | |
| (a1) | (a2) | (b1) | (b2) | (c1) | (c2) | |
| 数字普惠金融滞后一期 | 0.420*** | 0.420*** | 0.420*** | |||
| Digital inclusive finance lags behind for one period | (0.046) | (0.046) | (0.046) | |||
| 数字普惠金融 | 1.493*** | 2.818*** | -1.331*** | |||
| Digital inclusive finance | (0.274) | (0.339) | (0.249) | |||
| 人均生产总值 | 0.009 | -0.035** | 0.009 | -0.019 | 0.009 | -0.014 | 
| Per capita gross domestic product | (0.006) | (0.016) | (0.006) | (0.020) | (0.006) | (0.020) | 
| 人口密度 | 0.619* | -2.405*** | 0.619* | -2.758** | 0.619* | -0.357** | 
| Population density | (0.341) | (0.910) | (0.341) | (1.125) | (0.391) | (0.746) | 
| 交通便利程度 | 0.000 | -0.002*** | 0.000 | -0.000 | 0.000 | -0.002 | 
| Transportation convenience | (0.000) | (0.001) | (0.000) | (0.001) | (0.000) | (0.001) | 
| 区域创新水平 | 0.001* | 0.000 | 0.001* | -0.002* | 0.001* | -0.002* | 
| Regional innovation level | (0.000) | (0.001) | (0.000) | (0.001) | (0.000) | (0.001) | 
| 常数项Cons | 2.689*** | -6.452*** | 2.689*** | -12.582*** | 2.689*** | 6.154*** | 
| (0.192) | (1.217) | (0.192) | (1.504) | (0.181) | (1.109) | |
| n | 154 | 154 | 154 | 154 | 154 | 154 | 
| 调整R2Adjusted R2 | 0.620 | 0.152 | 0.620 | 0.402 | 0.620 | 0.281 | 
表6 工具变量法检验结果
Table 6 Test results using instrumental variable method
| 项目Item | 农业全要素生产率 Total factor productivity of agriculture  |  农业技术进步 Agricultural technological progress  |  农业技术效率 Agricultural technology efficiency  | |||
|---|---|---|---|---|---|---|
| 第一阶段 First stage  |  第二阶段 Second stage  |  第一阶段 First stage  |  第二阶段 Second stage  |  第一阶段 First stage  |  第二阶段 Second stage  | |
| (a1) | (a2) | (b1) | (b2) | (c1) | (c2) | |
| 数字普惠金融滞后一期 | 0.420*** | 0.420*** | 0.420*** | |||
| Digital inclusive finance lags behind for one period | (0.046) | (0.046) | (0.046) | |||
| 数字普惠金融 | 1.493*** | 2.818*** | -1.331*** | |||
| Digital inclusive finance | (0.274) | (0.339) | (0.249) | |||
| 人均生产总值 | 0.009 | -0.035** | 0.009 | -0.019 | 0.009 | -0.014 | 
| Per capita gross domestic product | (0.006) | (0.016) | (0.006) | (0.020) | (0.006) | (0.020) | 
| 人口密度 | 0.619* | -2.405*** | 0.619* | -2.758** | 0.619* | -0.357** | 
| Population density | (0.341) | (0.910) | (0.341) | (1.125) | (0.391) | (0.746) | 
| 交通便利程度 | 0.000 | -0.002*** | 0.000 | -0.000 | 0.000 | -0.002 | 
| Transportation convenience | (0.000) | (0.001) | (0.000) | (0.001) | (0.000) | (0.001) | 
| 区域创新水平 | 0.001* | 0.000 | 0.001* | -0.002* | 0.001* | -0.002* | 
| Regional innovation level | (0.000) | (0.001) | (0.000) | (0.001) | (0.000) | (0.001) | 
| 常数项Cons | 2.689*** | -6.452*** | 2.689*** | -12.582*** | 2.689*** | 6.154*** | 
| (0.192) | (1.217) | (0.192) | (1.504) | (0.181) | (1.109) | |
| n | 154 | 154 | 154 | 154 | 154 | 154 | 
| 调整R2Adjusted R2 | 0.620 | 0.152 | 0.620 | 0.402 | 0.620 | 0.281 | 
| 项目 Item  |  农业全要素生产率 Total factor productivity of agriculture  |  农业技术进步 Agricultural technological progress  |  农业技术效率 Agricultural technology efficiency  | 
|---|---|---|---|
| (1) | (2) | (3) | |
| 数字普惠金融Digital inclusive finance | 0.364*** | 0.682*** | -0.331*** | 
| (4.114) | (6.589) | (-3.432) | |
| 人均生产总值Per capita gross domestic product | 0.037*** | 0.097*** | -0.056*** | 
| (3.233) | (7.498) | (-4.542) | |
| 人口密度Population density | -0.226 | 2.914 | -3.321* | 
| (-0.158) | (1.346) | (-1.714) | |
| 交通便利程度Transportation convenience | -0.001 | 0.005*** | -0.005*** | 
| (-0.676) | (2.587) | (-3.044) | |
| 区域创新水平Regional innovation level | 0.001 | 0.003*** | -0.002* | 
| (1.473) | (3.186) | (-1.852) | |
| 常数项Cons | -1.657*** | -3.626*** | 1.971*** | 
| (-4.520) | (-8.513) | (4.918) | |
| Sigma_u | 0.115*** | 0.197*** | 0.165*** | 
| (5.664) | (5.331) | (5.736) | |
| Sigma_e | 0.103*** | 0.114*** | 0.112*** | 
| (17.392) | (16.957) | (16.998) | |
| n | 176 | 176 | 176 | 
表7 Tobit模型检验结果
Table 7 Tobit model verification results
| 项目 Item  |  农业全要素生产率 Total factor productivity of agriculture  |  农业技术进步 Agricultural technological progress  |  农业技术效率 Agricultural technology efficiency  | 
|---|---|---|---|
| (1) | (2) | (3) | |
| 数字普惠金融Digital inclusive finance | 0.364*** | 0.682*** | -0.331*** | 
| (4.114) | (6.589) | (-3.432) | |
| 人均生产总值Per capita gross domestic product | 0.037*** | 0.097*** | -0.056*** | 
| (3.233) | (7.498) | (-4.542) | |
| 人口密度Population density | -0.226 | 2.914 | -3.321* | 
| (-0.158) | (1.346) | (-1.714) | |
| 交通便利程度Transportation convenience | -0.001 | 0.005*** | -0.005*** | 
| (-0.676) | (2.587) | (-3.044) | |
| 区域创新水平Regional innovation level | 0.001 | 0.003*** | -0.002* | 
| (1.473) | (3.186) | (-1.852) | |
| 常数项Cons | -1.657*** | -3.626*** | 1.971*** | 
| (-4.520) | (-8.513) | (4.918) | |
| Sigma_u | 0.115*** | 0.197*** | 0.165*** | 
| (5.664) | (5.331) | (5.736) | |
| Sigma_e | 0.103*** | 0.114*** | 0.112*** | 
| (17.392) | (16.957) | (16.998) | |
| n | 176 | 176 | 176 | 
| 项目 Item  |  农业全要素生产率 Total factor productivity of agriculture  |  农业技术进步 Agricultural technological progress  |  农业技术效率 Agricultural technology efficiency  | ||||||
|---|---|---|---|---|---|---|---|---|---|
| 25分位点 25th percentile  |  50分位点 50th percentile  |  75分位点 75th percentile  |  25分位点 25th percentile  |  50分位点 50th percentile  |  75分位点 75th percentile  |  25分位点 25th percentile  |  50分位点 50th percentile  |  75分位点 75th percentile  | |
| (a1) | (a2) | (a3) | (b1) | (b2) | (b3) | (c1) | (c2) | (c3) | |
| 数字普惠金融 | 0.363*** | 0.588*** | 0.664*** | 0.617*** | 1.112*** | 1.036*** | -0.396** | -0.413*** | -0.204 | 
| Digital inclusive finance | (2.712) | (4.287) | (5.422) | (2.637) | (7.378) | (6.401) | (-2.253) | (-2.893) | (-1.001) | 
| 人均生产总值 | -0.005 | 0.000 | -0.002 | 0.051* | 0.052*** | 0.059*** | -0.083*** | -0.069*** | -0.025 | 
| Per capita gross domestic | (-0.296) | (0.005) | (-0.106) | (1.832) | (2.897) | (3.102) | (-3.982) | (-4.081) | (-1.053) | 
| product | |||||||||
| 人口密度 | 0.437 | -0.338 | -2.383*** | -0.491 | -0.272 | -0.370 | 0.460 | -0.860 | -0.790 | 
| Population density | (0.442) | (-0.334) | (-2.636) | (-0.284) | (-0.244) | (-0.310) | (0.355) | (-0.816) | (-0.524) | 
| 交通便利程度 | -0.000 | -0.001 | -0.003*** | -0.002 | 0.000 | 0.001 | -0.001 | -0.002** | -0.002 | 
| Transportation convenience | (-0.240) | (-1.541) | (-3.607) | (-1.480) | (0.085) | (0.901) | (-0.859) | (-2.178) | (-1.234) | 
| 区域创新水平 | 0.000 | 0.002 | 0.003*** | 0.000 | -0.001 | 0.000 | 0.000 | 0.004*** | -0.000 | 
| Regional innovation level | (0.110) | (1.504) | (3.230) | (0.134) | (-0.602) | (0.042) | (0.251) | (3.543) | (-0.023) | 
| 常数项Cons | -1.564*** | -2.495*** | -2.642*** | -2.751*** | -4.999*** | -4.629*** | 1.961*** | 2.113*** | 1.093 | 
| (-2.733) | (-4.254) | (-5.044) | (-2.749) | (-7.752) | (-6.686) | (2.611) | (3.461) | (1.251) | |
| n | 176 | 176 | 176 | 176 | 176 | 176 | 176 | 176 | 176 | 
表8 分位数固定效应模型检验结果
Table 8 Quantile fixed effects model test results
| 项目 Item  |  农业全要素生产率 Total factor productivity of agriculture  |  农业技术进步 Agricultural technological progress  |  农业技术效率 Agricultural technology efficiency  | ||||||
|---|---|---|---|---|---|---|---|---|---|
| 25分位点 25th percentile  |  50分位点 50th percentile  |  75分位点 75th percentile  |  25分位点 25th percentile  |  50分位点 50th percentile  |  75分位点 75th percentile  |  25分位点 25th percentile  |  50分位点 50th percentile  |  75分位点 75th percentile  | |
| (a1) | (a2) | (a3) | (b1) | (b2) | (b3) | (c1) | (c2) | (c3) | |
| 数字普惠金融 | 0.363*** | 0.588*** | 0.664*** | 0.617*** | 1.112*** | 1.036*** | -0.396** | -0.413*** | -0.204 | 
| Digital inclusive finance | (2.712) | (4.287) | (5.422) | (2.637) | (7.378) | (6.401) | (-2.253) | (-2.893) | (-1.001) | 
| 人均生产总值 | -0.005 | 0.000 | -0.002 | 0.051* | 0.052*** | 0.059*** | -0.083*** | -0.069*** | -0.025 | 
| Per capita gross domestic | (-0.296) | (0.005) | (-0.106) | (1.832) | (2.897) | (3.102) | (-3.982) | (-4.081) | (-1.053) | 
| product | |||||||||
| 人口密度 | 0.437 | -0.338 | -2.383*** | -0.491 | -0.272 | -0.370 | 0.460 | -0.860 | -0.790 | 
| Population density | (0.442) | (-0.334) | (-2.636) | (-0.284) | (-0.244) | (-0.310) | (0.355) | (-0.816) | (-0.524) | 
| 交通便利程度 | -0.000 | -0.001 | -0.003*** | -0.002 | 0.000 | 0.001 | -0.001 | -0.002** | -0.002 | 
| Transportation convenience | (-0.240) | (-1.541) | (-3.607) | (-1.480) | (0.085) | (0.901) | (-0.859) | (-2.178) | (-1.234) | 
| 区域创新水平 | 0.000 | 0.002 | 0.003*** | 0.000 | -0.001 | 0.000 | 0.000 | 0.004*** | -0.000 | 
| Regional innovation level | (0.110) | (1.504) | (3.230) | (0.134) | (-0.602) | (0.042) | (0.251) | (3.543) | (-0.023) | 
| 常数项Cons | -1.564*** | -2.495*** | -2.642*** | -2.751*** | -4.999*** | -4.629*** | 1.961*** | 2.113*** | 1.093 | 
| (-2.733) | (-4.254) | (-5.044) | (-2.749) | (-7.752) | (-6.686) | (2.611) | (3.461) | (1.251) | |
| n | 176 | 176 | 176 | 176 | 176 | 176 | 176 | 176 | 176 | 
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