A study of the impact of financial new quality productivity on the modernization of the rural industrial chain supply chain

	Absolute convergence		Conditional convergence
	Random effect	Fixed effect	Random effect	Fixed effect
	(1)	(2)	(3)	(4)
β	-0.041*** [0.011]	-0.250*** [0.037]	-0.079*** [0.015]	-0.311*** [0.041]
Control variable	NO	NO	YES	YES
Convergence rate(%)	0.324	2.089	0.607	2.675
Half convergence period	6.337	4.547	5.678	4.296
Constant term	-0.051** [0.019]	-0.347*** [0.055]	-0.102*** [0.024]	1.335*** [0.045]
Sample size	410	410	410	410
R²	0.013	0.020	0.041	0.119

Calculation result

Darum gini coefficient		2015	2016	2017	2018	2019	2020	2021	2022
Overall gini coefficient		0.229	0.199	0.207	0.212	0.194	0.219	0.201	0.201
Decomposition contribution	Group internal differences and contribution rate/%	0.056	0.051	0.03	0.045	0.047	0.044	0.039	0.039
	Group internal differences and contribution rate/%	22.13	22.17	20.65	20.53	21.11	20.08	18.58	18.87
	Group internal differences and contribution rate/%	0.143	0.136	0.142	0.145	0.14	0.14	0.136	0.134
	Group internal differences and contribution rate/%	60.75	61.56	63.37	65.44	62.76	65.33	65.81	65.72
	Supervariable density and contribution rate/%	0.03	0.025	0.024	0.019	0.026	0.02	0.021	0.021
	Supervariable density and contribution rate/%	11.77	10.88	9.87	7.88	10.56	8.35	9.45	9.78
Intergroup difference	Northeast	0.041	0.03	0.075	0.072	0.067	0.089	0.062	0.077
	East	0.234	0.211	0.224	0.209	0.212	0.19	0.15	0.157
	Middle	0.09	0.134	0.114	0.114	0.124	0.124	0.112	0.109
	West	0.094	0.11	0.116	0.104	0.139	0.121	0.142	0.143
Intergroup difference	East & central	0.253	0.238	0.234	0.224	0.17	0.202	0.191	0.185
	East & west	0.309	0.279	0.301	0.309	0.267	0.298	0.298	0.279
	Northeast & east	0.269	0.245	0.311	0.303	0.247	0.291	0.309	0.319
	Middle & west	0.144	0.146	0.151	0.159	0.155	0.162	0.161	0.178
	Northeast & west	0.113	0.094	0.098	0.093	0.102	0.111	0.095	0.09
	Northeast & central	0.092	0.114	0.121	0.153	0.119	0.14	0.164	0.169

Heterogeneity analysis results

	(1)	(4)	(3)	(2)	(5)	(6)
Dnqp	0.377***	0.171***	0.129*	0.158**	0.317***	0.148**
Dnqp	(3.367)	(2.685)	(1.803)	(2.186)	(3.276)	(2.272)
Control variable	YES	YES	YES	YES	YES	YES
Constant	14.887***	9.756***	8.534***	10.752***	13.893***	9.766***
Constant	(14.856)	(11.096)	(9.231)	(10.477)	(12.757)	(11.674)
R²	0.639	0.618	0.622	0.611	0.633	0.606
Observed value	100	23	111	56	144	166
Provincial fixation effect	YES	YES	YES	YES	YES	YES
Year fixed effect	YES	YES	YES	YES	YES	YES

The results of the test results of the β convergence in the four regions

	Absolute convergence				Conditional convergence
	(1)	(2)	(3)	(4)	(5)	(6)	(7)	(8)
β	-0.271***	-0.153**	-0.279***	-0.729***	-0.425***	-0.468***	-0.391***	-0.923***
β	[0.055]	[0.068]	[0.075]	[0.219]	[0.067]	[0.101]	[0.08]	[0.201]
Control variable	NO	NO	NO	NO	YES	YES	YES	YES
Convergence rate(%)	2.216	1.156	2.246	8.562	4.001	4.543	3.584	17.552
Half convergence period	4.326	4.976	4.376	3.022	3.877	3.755	4.007	2.131
Constant term	-0.301***	-0.222*	-0.435***	-1.013***	-0.486***	-0.708***	-0.664***	-1.365***
Constant term	[0.067]	[0.111]	[0.121]	[0.318]	[0.078]	[0.178]	[0.134]	[0.302]
Sample size	130	81	151	38	130	81	151	38
R²	0.141	0.055	0.078	0.221	0.242	0.235	0.163	0.432

Industrial chain modernization evaluation index system

Primary indicator	Secondary indicator	Tertiary index
Industrial chain modernization	Industrial chain digitization	Digital basis
		Digital service
		Digital output
	Chain toughness	High-end leadership
		Chain control
		profitability
	Industrial chain innovation	Innovative investment
	Industrial chain innovation	Innovative output
	Industrial chain cooperation	Industrial synergy
	Industrial chain cooperation	Innovation synergy
	Industrial chain sustainability	Energy-saving production
		Pollution discharge
		Green governance

Index evaluation system for new quality of financial productivity

Primary indicator	Secondary indicator	Tertiary index
Technological innovation	Innovative environment	Scientific research
	Innovative environment	Innovative activity
	Innovative investment	Investment strength of r&d funds
	Innovative investment	R&d personnel
	Innovative results	Patent authorization
	Innovative results	Technological transformation
New quality industry	Future industry	Artificial intelligence
	Future industry	Computer and software practitioners
	Digital industry	Digital economy
	Digital industry	Real integration
	Emerging industries	The number of new and new technology professionals is the ratio
Green state	Pollution reduction	Waste water discharge
		Exhaust emission
		Solid waste discharge
	Energy consumption	Renewable energy
	Energy consumption	Energy efficiency
Production factor	Technical assignment	Total factor productivity
	Human resources	Human capital height
	Capital efficiency	Capital productivity
	Market system	Market degree

Benchmark regression test results

	MIC
	(1)	(2)	(3)
Dnqp	0.6574***	0.6193	0.5749
Dnqp	(4.27)	(4.11)	(3.68)
Maicsc			1.1679***
Maicsc			(1.84)
Fsal			1.2957***
Fsal			(3.67)
Ur			0.7327**
Ur			(2.11)
Oul			2.1756***
Oul			(7.54)
Wlr			0.1174***
Wlr			(5.43)
_cons	-9.3167**	-11.0845***	-22.7356
_cons	(-1.09)	(-6.21)	(-0.87)
Individual fixation effect	Uncontrolled	Control	Control
Time fixed effect	Uncontrolled	Control	Control
R²	0.8845	0.9236	0.9758
F	53.0266	50.2716	35.0123
N	390	390	390

Endogenous test results

Variable	Two stages of least squares
	Maicsc	MIC
	First stage	Second order
Dnqp		0.3467***
Dnqp		(5.78)
DTF	0.0357***
DTF	(4.95)
Dnqp _it×DTF_it	1.9584***	3.0257***
Dnqp _it×DTF_it	(5.86)	(7.54)
Control variable	Control	Control
_cons	-0.1001**	-0.2221***
_cons	(-2.54)	(-2.97)
Individual fixation effect	Control	Control
Time fixed effect	Control	Control
R²	0.9257	0.9845
N	390	390

The mediation effect tests the results

	(1)	(2)
	atp	atp
Dnqp	0.144***	0.387***
Dnqp	(3.146)	(2.573)
Control variable	YES	YES
Constant	5.664***	4.766***
Constant	(5.012)	(4.685)
R²	0.689	0.697
Observed value	320	320
Provincial fixation effect	YES	YES
Year fixed effect	YES	YES

Provincial financial new quality productivity development index

Region	Province	2008	2010	2012	2014	2016	2018	2020	2022
Eastern region	Beijing	0.799	0.832	0.792	0.634	0.779	0.686	0.797	0.713
	Tianjin	0.223	0.306	0.253	0.238	0.407	0.202	0.244	0.221
	Hebei	0.183	0.145	0.065	0.169	0.193	0.13	0.205	0.243
	Shanghai	0.534	0.378	0.244	0.415	0.35	0.411	0.492	0.396
	Jiangsu	0.269	0.343	0.348	0.245	0.366	0.307	0.279	0.394
	Zhejiang	0.158	0.324	0.181	0.288	0.109	0.199	0.491	0.296
	Fujian	0.171	0.239	0.244	0.46	0.282	0.162	0.351	0.213
	Shandong	0.142	0.084	0.236	0.328	0.353	0.379	0.3	0.162
	Guangdong	0.204	0.343	0.373	0.359	0.32	0.359	0.34	0.451
	Hainan	0.214	0.409	0.333	0.198	0.354	0.413	0.26	0.333
	Mean	0.288	0.34	0.307	0.333	0.351	0.325	0.376	0.308
Central region	Shanxi	0.368	0.128	0.351	0.246	0.282	0.122	0.147	0.462
	Anhui	0.083	0.198	0.288	0.241	0.063	0.265	0.3	0.143
	Jiangxi	0.234	0.24	0.084	0.025	0.082	0.218	0.134	0.286
	Henan	0.208	0.18	0.196	0.104	0.183	0.135	0.21	0.245
	Hupei	0.193	0.313	0.408	0.178	0.208	0.434	0.259	0.278
	Hunan	0.354	0.259	0.224	0.193	0.279	0.351	0.21	0.319
	Mean	0.24	0.22	0.259	0.165	0.183	0.254	0.21	0.276
Western region	Inner Mongolia	0.271	0.017	0.297	0.308	0.287	0.338	0.175	0.341
	Guangxi	0.198	0.321	0.252	0.119	0.135	0.225	0.188	0.207
	Chongqing	0.126	0.304	0.178	0.066	0.284	0.193	0.054	0.256
	Sichuan	0.235	0.093	0.16	0.384	0.273	0.191	0.132	0.217
	Guizhou	0.25	0.116	0.178	0.182	0.271	0.198	0.216	0.314
	Yunnan	0.313	0.225	0.207	0.188	0.127	0.126	0.16	0.357
	Shaanxi	0.106	0.241	0.242	0.214	0.125	0.32	0.192	0.149
	Kansu	0.076	0.239	0.116	0.16	0.114	0.213	0.156	0.267
	Qinghai	0.198	0.149	0.212	0.383	0.168	0.289	0.203	0.092
	Ningxia	0.169	0.336	0.243	0.181	0.291	0.336	0.154	0.221
	Xinjiang	0.33	0.186	0.234	0.185	0.303	0.156	0.331	0.247
	Mean	0.207	0.202	0.211	0.215	0.216	0.235	0.178	0.242
Northeast	Liaoning	0.211	0.159	0.494	0.251	0.174	0.171	0.278	0.269
	Jilin	0.266	0.17	0.252	0.177	0.306	0.222	0.197	0.283
	heilongjiang	0.189	0.159	0.28	0.335	0.228	0.281	0.217	0.164
	mean	0.222	0.163	0.342	0.254	0.236	0.225	0.231	0.239
National mean		0.242	0.248	0.266	0.248	0.257	0.268	0.256	0.285

Robustness test results

	MIC
	Change the measure of the variable	Elimination of sample extreme values	Replacement estimation method
	(1)	(2)	(3)
Dnqp	0.3357***	0.4622***	0.2077**
Dnqp	(4.57)	(6.57)	(2.31)
Control variable	Control	Control	Control
_cons	0.1255**	0.1579***	0.1284***
_cons	(2.31)	(5.65)	(4.57)
Individual fixation effect	Control	Control	Control
Time fixed effect	Control	Control	Control
R²	0.9654	0.9957	0.9982
N	390	390	390

Language:: English

Publication timeframe:: 1 times per year
Journal Subjects:: Life Sciences, Life Sciences, other, Mathematics, Applied Mathematics, General Mathematics, Physics, Physics, other

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A study of the impact of financial new quality productivity on the modernization of the rural industrial chain supply chain

Qianyun Yang

Published Online: Mar 19, 2025

Received: Oct 29, 2024

Accepted: Feb 09, 2025

DOI: https://doi.org/10.2478/amns-2025-0422

KeywordsFinancial new quality productivity, Agricultural industry chain supply chain modernization, Heterogeneity analysis, Dagum Gini coefficient

© 2025 Qianyun Yang, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

The results of the test results

Calculation result

Heterogeneity analysis results

The results of the test results of the β convergence in the four regions

Industrial chain modernization evaluation index system

Index evaluation system for new quality of financial productivity

Benchmark regression test results

Endogenous test results

The mediation effect tests the results

Provincial financial new quality productivity development index

Robustness test results

Keywords
Financial new quality productivity, Agricultural industry chain supply chain modernization, Heterogeneity analysis, Dagum Gini coefficient