The Evolutionary Trends, Regional Differences, and Influencing Factors of Agricultural Green Total Factor Productivity in the Beijing–Tianjin–Hebei Region
Abstract
1. Introduction
2. Materials and Methods
2.1. Study Area
2.2. Data Sources
2.3. Research Methods
2.3.1. Measurement of Agricultural Green Total Factor Productivity
Indicator Selection
Super-Efficiency EBM Model
Malmquist–Luenberger Index
2.3.2. Spatial Autocorrelation
2.3.3. Model Construction for the Influencing Factors of Agricultural Green Total Factor Productivity
Construction of the Indicator System for Influencing Factors
Spatial Econometric Model Specification
Model Testing, Effect Decomposition, and Sample Periodization
2.4. Statistical and Analytical Software
3. Results
3.1. Agricultural Green Total Factor Productivity Measurement and Comparative Analysis in the Beijing–Tianjin–Hebei Region
3.1.1. Measurement of Agricultural Green Total Factor Productivity in the Beijing–Tianjin–Hebei Region
3.1.2. Decomposition and Comparison of Agricultural Green Total Factor Productivity in the Beijing–Tianjin–Hebei Region
3.2. Spatial Coordination Analysis of Agricultural Green Development in the Beijing–Tianjin–Hebei Region
3.2.1. Global Spatial Autocorrelation of Agricultural Green Total Factor Productivity in the Beijing–Tianjin–Hebei Region
3.2.2. Local Spatial Autocorrelation of Agricultural Green Total Factor Productivity in the Beijing–Tianjin–Hebei Region
3.3. Analysis of the Influencing Factors of Agricultural Green Total Factor Productivity in the Beijing–Tianjin–Hebei Region
4. Discussion
4.1. Interpreting the Growth Pattern of Agricultural Green Total Factor Productivity
4.2. The Limits of Spatial Coordination and Spillover Effects
4.3. Heterogeneous Drivers and Structural Transformation in Green Development
4.4. Policy Implications in the Context of Regional Coordination Strategies
4.5. Research Limitations and Future Directions
Author Contributions
Funding
Data Availability Statement
Conflicts of Interest
References
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| Indicator Classification | Itemized Indicator | Indicator Description | Unit |
|---|---|---|---|
| Input indicator | Land input | Total sown area of crops | thousand hectares |
| Labor input | Number of persons engaged in agriculture | 10 thousand persons | |
| Machinery input | Total power of agricultural machinery | 10 thousand kilowatts | |
| Irrigation input | Effectively irrigated area | thousand hectares | |
| Pesticide input | Pesticide usage | tons | |
| Fertilizer input | Fertilizer application | 10 thousand tons | |
| Output indicator | Desirable output | Gross agricultural output value | billion yuan |
| Undesirable output | Agricultural carbon emissions | 10 thousand tons |
| Source of Carbon | Carbon Emission Coefficient | Unit |
|---|---|---|
| Agricultural machinery diesel consumption | 0.5927 | kg/kg |
| Chemical Fertilizer Consumption | 0.8965 | kg/kg |
| Agricultural Pesticide Consumption | 4.9341 | kg/kg |
| Agricultural Plastic Film Residue | 5.1800 | kg/kg |
| Plowing | 312.6000 | kg/km2 |
| Agricultural irrigation | 25.0000 | kg/km2 |
| Variable Name | Symbol | Variable Description | Unit | Observations | Mean | Std. Dev. | Min | Max |
|---|---|---|---|---|---|---|---|---|
| Industrial structure | Jd | Share of primary industry value-added in regional GDP | % | 286 | 0.1166 | 0.0542 | 0.0027 | 0.2360 |
| Technological Innovation | Rd | Total internal R&D expenditure (one-year lagged) | billion yuan | 286 | 274.0764 | 753.4764 | 0.6784 | 4203.1400 |
| Economic development level | Rjgdp | Per capita GDP | 10 thousand yuan/person | 286 | 39,340.4211 | 30,689.9901 | 5143.1900 | 190,313.0000 |
| Government support | Cz | Total fiscal expenditure on agriculture | billion yuan | 286 | 700.5753 | 1302.9085 | 18.6405 | 7471.4300 |
| Urban–Rural Income Gap | Citync | Ratio of urban to rural per capita disposable income | - | 286 | 2.6799 | 0.5067 | 1.7568 | 5.6469 |
| Rural Human Capital | Ed | Average years of schooling for rural residents | years | 286 | 8.6276 | 1.0082 | 7.0243 | 12.0830 |
| Indicator | Jd | Rd | Rgdp | Cz | Citync | Ed | Mean |
|---|---|---|---|---|---|---|---|
| VIF | 4.36 | 9.55 | 4.67 | 5.26 | 1.49 | 4.66 | 5.00 |
| 1/VIF | 0.2292 | 0.1047 | 0.2142 | 0.1901 | 0.6710 | 0.2145 | - |
| Year | Moran’s I | Standard Deviation | Z-Value | p-Value |
|---|---|---|---|---|
| 2001–2002 | −0.051 | 0.181 | 0.177 | 0.430 |
| 2002–2003 | −0.213 | 0.157 | −0.828 | 0.204 |
| 2003–2004 | −0.065 | 0.172 | 0.104 | 0.459 |
| 2004–2005 | −0.098 | 0.157 | −0.094 | 0.462 |
| 2005–2006 | 0.021 | 0.070 | 1.484 | 0.069 |
| 2006–2007 | −0.046 | 0.060 | 0.635 | 0.263 |
| 2007–2008 | −0.268 | 0.143 | −1.294 | 0.098 |
| 2008–2009 | −0.157 | 0.089 | −0.826 | 0.204 |
| 2009–2010 | −0.195 | 0.120 | −0.927 | 0.177 |
| 2010–2011 | −0.095 | 0.040 | −0.301 | 0.382 |
| 2011–2012 | −0.224 | 0.152 | −0.929 | 0.176 |
| 2012–2013 | −0.224 | 0.152 | −0.929 | 0.176 |
| 2013–2014 | −0.373 | 0.130 | −2.234 | 0.013 |
| 2014–2015 | −0.163 | 0.164 | −0.489 | 0.312 |
| 2015–2016 | −0.129 | 0.170 | −0.266 | 0.395 |
| 2016–2017 | −0.337 | 0.180 | −1.408 | 0.080 |
| 2017–2018 | 0.147 | 0.171 | 1.346 | 0.089 |
| 2018–2019 | 0.026 | 0.175 | 0.625 | 0.266 |
| 2019–2020 | −0.226 | 0.172 | −0.827 | 0.204 |
| 2020–2021 | −0.149 | 0.108 | −0.607 | 0.272 |
| 2021–2022 | −0.083 | 0.166 | 0.004 | 0.498 |
| Variable | 2001–2022 | 2001–2015 | 2015–2022 | ||||||
|---|---|---|---|---|---|---|---|---|---|
| Direct Effect | Indirect Effect | Total Effect | Direct Effect | Indirect Effect | Total Effect | Direct Effect | Indirect Effect | Total Effect | |
| Jd | 3.064 ** | −4.274 | −1.210 | 6.756 ** | −5.788 | 0.969 | −2.017 ** | 0.843 | −1.174 |
| (1.85) | (−1.44) | (−0.49) | (2.33) | (−0.93) | (0.18) | (−2.17) | (0.54) | (−0.71) | |
| Rd | 0.089 | −0.242 ** | −0.153 | 0.112 | −0.221 | −0.109 | 0.129 *** | −0.152 | −0.023 |
| (1.62) | (−2.09) | (−1.42) | (1.38) | (−1.29) | (−0.65) | (3.50) | (−1.47) | (−0.23) | |
| Rjgdp | 1.150 *** | −0.382 * | 0.768 *** | 1.449 *** | −0.374 | 1.074 *** | 0.375 *** | −0.170 | 0.205 * |
| (5.79) | (−1.77) | (4.15) | (4.80) | (−0.92) | (3.23) | (2.58) | (−1.27) | (1.79) | |
| Cz | −0.351 *** | 0.365 | 0.014 | −0.240 | 0.341 | 0.101 | −0.554 *** | 0.503 *** | −0.051 |
| (−2.62) | (1.16) | (0.05) | (−1.22) | (0.73) | (0.23) | (−6.12) | (−2.79) | (−0.37) | |
| Citync | −0.165 * | 0.0279 | −0.137 | −0.115 | −0.010 | −0.125 | 0.017 | 0.213 ** | 0.230 ** |
| (−1.79) | (0.25) | (−1.22) | (−0.84) | (−0.06) | (−0.82) | (0.25) | (2.44) | (2.42) | |
| Ed | −0.093 | 0.0983 | 0.001 | −0.186 | 0.024 | −0.162 | 0.165 *** | 0.068 | 0.233 ** |
| (−1.14) | (0.58) | (0.03) | (−1.57) | (0.09) | (−0.53) | (3.18) | (0.68) | (2.13) | |
| N | 273 | 182 | 104 | ||||||
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Liu, W.; Zhao, J.; Wang, A.; Wang, H.; Zhang, D.; Xue, Z. The Evolutionary Trends, Regional Differences, and Influencing Factors of Agricultural Green Total Factor Productivity in the Beijing–Tianjin–Hebei Region. Agriculture 2026, 16, 171. https://doi.org/10.3390/agriculture16020171
Liu W, Zhao J, Wang A, Wang H, Zhang D, Xue Z. The Evolutionary Trends, Regional Differences, and Influencing Factors of Agricultural Green Total Factor Productivity in the Beijing–Tianjin–Hebei Region. Agriculture. 2026; 16(2):171. https://doi.org/10.3390/agriculture16020171
Chicago/Turabian StyleLiu, Wen, Jiang Zhao, Ailing Wang, Hongjia Wang, Dongyuan Zhang, and Zhi Xue. 2026. "The Evolutionary Trends, Regional Differences, and Influencing Factors of Agricultural Green Total Factor Productivity in the Beijing–Tianjin–Hebei Region" Agriculture 16, no. 2: 171. https://doi.org/10.3390/agriculture16020171
APA StyleLiu, W., Zhao, J., Wang, A., Wang, H., Zhang, D., & Xue, Z. (2026). The Evolutionary Trends, Regional Differences, and Influencing Factors of Agricultural Green Total Factor Productivity in the Beijing–Tianjin–Hebei Region. Agriculture, 16(2), 171. https://doi.org/10.3390/agriculture16020171
