Forestry Green Development Efficiency in China’s Yellow River Basin: Evidence from the Super-SBM Model and the Global Malmquist-Luenberger Index
Abstract
1. Introduction
2. Methods and Materials
2.1. Overview of the Study Area and Methodological Framework
2.1.1. Research Area
2.1.2. Marginal Contributions
2.2. Methodology
2.2.1. Undesirable Outputs-Based Super-SBM Model
2.2.2. Global Malmquist–Luenberger (GML) Index
2.3. Indicator System
- (1)
- Input Indicators: The input framework comprises four categories—capital, labor, land, and energy. Following established research practices [29,30,31,32], this study measures these inputs using the completed investment in forestry fixed assets, the number of forestry system employees at year-end, and the area of forest land, respectively. Regarding energy input, given that the energy consumption of forestry activities (e.g., timber harvesting, forest product processing, and nursery greenhouse operations) is distributed across various categories in national economic statistics and cannot be directly extracted from publicly available data [33,34]. At the same time, the core objective of forestry green development lies in assessing the comprehensive resource and environmental costs of its production process. Since energy consumption serves as a primary source of carbon emissions and other pollutants, it represents a key proxy variable for evaluating environmental pressures from the forestry system [35]. Therefore, the total regional forestry energy consumption is adopted as the measurement indicator for energy input. Drawing on previous studies [36,37], this indicator is estimated by allocating the province’s total energy consumption based on the proportion of the output value from forestry-related downstream processing and manufacturing activities (e.g., wood processing, furniture manufacturing, and forest chemical production) to the total industrial output value.
- (2)
- Output Indicators: To capture the economic and ecological benefits of forestry development, desirable outputs include both economic output and ecological benefits, which are measured by the gross forestry output value and forest volume, respectively. Among these, the gross forestry output value is defined in accordance with the Chinese national statistical standard Classification of Forestry and Related Products (LY/T 2987-2018) [38]. It encompasses the total economic value generated by all forestry-related activities, including timber production, non-timber forest products, and ecotourism and recreation services. The forest volume is measured according to the technical regulation Inventory for Forest Management Planning and Design (GB/T 26424-2010) [39]. It refers to the total stock of living wood in forest stands meeting specific criteria, such as a canopy density ≥ 0.2, and includes primary (natural) forests, secondary forests, and plantations.
2.4. Data Source and Descriptive Statistics
3. Results
3.1. Static Efficiency Results and Analysis
3.2. Dynamic Productivity Results and Analysis
3.2.1. Aggregate Trend and Decomposition Analysis
3.2.2. Decomposition Results and Analysis
4. Discussion
4.1. Re-Evaluating Forestry Green Development Efficiency from a Cost Perspective
4.2. Evolution and Spatial Heterogeneity of the GML Index
4.3. Robustness Test
4.4. Limitations
4.5. Implications
- (1)
- Implement targeted zoning-based governance: Management strategies should align closely with regional efficiency characteristics: the midstream “stagnation zone” requires industrial transformation driven by stringent environmental standards, coupled with the introduction of green technologies and modern management models; the upstream “divergent zone” needs tailored policy packages, including enhancing technology absorption capacity in Ningxia, increasing green technology investment in Gansu, stimulating endogenous innovation in Inner Mongolia, and providing Qinghai with targeted ecological compensation and adaptive technologies to strengthen its foundational capacity for green development.
- (2)
- Promote a catch-up strategy that emphasizes both technical efficiency improvement and technological advancement: The entire basin should recognize the positive signal from the systematic improvement in technical efficiency and elevate “efficiency enhancement” to the same strategic level as “technological innovation.” While continuing to incentivize innovation in forestry green technology, the midstream and upstream regions should widely adopt proven practices, including precision forest tending, degraded forest restoration, and close-to-nature management, which directly enhance both scale and management efficiency. This “two-pronged” strategy offers valuable insights for forestry sectors in other developing countries undergoing a similar transition from extensive expansion to intensive management.
- (3)
- Establish an incentive and compensation system based on environmental cost accounting: This study identifies the neglect of environmental costs as a key cause of delayed transformation. Therefore, the Yellow River Basin should take the lead in developing an environmental cost accounting system that covers the entire forestry production process. This system should serve as a mandatory basis for trans-provincial ecological compensation, government green performance assessments, and the design of green financial products. Through such market-based mechanisms, environmental externalities can be internalized, thereby guiding capital and production factors away from high-environmental-cost activities and toward genuinely green models. This institutional innovation would not only support high-quality development in the Yellow River Basin but could also provide an informative “Chinese case” for other regions globally seeking to address environmental issues through market mechanisms.
5. Conclusions
Author Contributions
Funding
Data Availability Statement
Acknowledgments
Conflicts of Interest
References
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| Indicator Types | Indicators | Description of Indicators | Unit |
|---|---|---|---|
| Input | Labor | Number of forestry system employees at year-end | person |
| Land | Area of forest land | Ten thousand hectares | |
| Capital | Completed investment in forestry fixed assets | CNY 10,000 | |
| Energy | Total regional forestry energy consumption | Ten thousand tons of standard coal | |
| Desirable output | Economic | Gross forestry output value | CNY 100 million |
| Ecological | Forest volume | Billion cubic meters | |
| Undesirable output | Environmental pollutants | Forestry wastewater discharge | Ten thousand tons |
| Forestry waste gas emissions | Ten thousand tons | ||
| Forestry solid waste discharge | Ten thousand tons |
| Variable | Mean | SD | Min | Max |
|---|---|---|---|---|
| Number of forestry system employees at year-end | 31,900 | 23,113 | 4922 | 106,300 |
| Area of forest land | 1296 | 1273 | 179 | 4499 |
| Completed investment in forestry fixed assets | 118,200 | 93,555 | 1141 | 336,700 |
| Total regional forestry energy consumption | 1030 | 1757 | 0 | 6668 |
| Gross forestry output value | 1604 | 1978 | 34.82 | 6888 |
| Forest volume | 4.960 | 6.377 | 0.07 | 18.61 |
| Forestry wastewater discharge | 3909 | 7901 | 0 | 33,005 |
| Forestry waste gas emissions | 2.572 | 5.165 | 0 | 25.13 |
| Forestry solid waste discharge | 0.0393 | 0.0946 | 0 | 0.611 |
| Year | Upstream | Midstream | Downstream | YRB | |||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Gansu | Sichuan | Inner Mongolia | Ningxia | Qinghai | Mean | Shanxi | Shaanxi | Mean | Shandong | Hennan | Mean | ||
| 2005 | 0.432 | 1.158 | 1.223 | 0.14 | 1.124 | 0.815 | 1.043 | 1.079 | 1.061 | 1.156 | 0.633 | 0.895 | 0.887 |
| 2006 | 0.394 | 1.162 | 1.145 | 0.111 | 1.166 | 0.796 | 0.331 | 1.077 | 0.704 | 1.162 | 0.623 | 0.893 | 0.797 |
| 2007 | 0.447 | 1.172 | 1.197 | 0.139 | 1.173 | 0.826 | 0.319 | 1.083 | 0.701 | 1.16 | 1.065 | 1.113 | 0.862 |
| 2008 | 0.402 | 1.175 | 1.142 | 0.119 | 1.175 | 0.803 | 0.318 | 1.068 | 0.693 | 1.145 | 1.027 | 1.086 | 0.841 |
| 2009 | 0.341 | 1.175 | 1.173 | 0.122 | 1.073 | 0.777 | 0.271 | 1.066 | 0.669 | 1.181 | 0.578 | 0.880 | 0.776 |
| 2010 | 0.284 | 1.168 | 1.143 | 0.112 | 1.049 | 0.751 | 0.188 | 1.065 | 0.627 | 1.167 | 0.56 | 0.864 | 0.748 |
| 2011 | 0.229 | 1.39 | 1.191 | 0.078 | 1.005 | 0.779 | 0.218 | 1.051 | 0.635 | 1.187 | 1.056 | 1.122 | 0.823 |
| 2012 | 0.221 | 1.199 | 1.267 | 0.144 | 0.234 | 0.613 | 0.162 | 1.035 | 0.599 | 1.201 | 1.197 | 1.199 | 0.74 |
| 2013 | 0.232 | 1.211 | 1.21 | 0.263 | 0.165 | 0.616 | 0.276 | 1.041 | 0.659 | 1.205 | 1.374 | 1.290 | 0.775 |
| 2014 | 0.225 | 1.235 | 1.311 | 0.145 | 0.171 | 0.617 | 0.253 | 1.034 | 0.644 | 1.202 | 0.748 | 0.975 | 0.703 |
| 2015 | 0.212 | 1.204 | 1.269 | 0.085 | 0.132 | 0.580 | 0.209 | 1.036 | 0.623 | 1.199 | 1.005 | 1.102 | 0.706 |
| 2016 | 0.217 | 1.207 | 1.35 | 0.074 | 0.124 | 0.594 | 0.234 | 0.602 | 0.418 | 1.197 | 1.059 | 1.128 | 0.674 |
| 2017 | 0.223 | 1.359 | 1.295 | 0.08 | 0.118 | 0.615 | 0.216 | 0.473 | 0.345 | 1.194 | 1.11 | 1.152 | 0.674 |
| 2018 | 0.23 | 1.161 | 1.266 | 0.082 | 0.114 | 0.571 | 1.023 | 0.529 | 0.776 | 1.188 | 1.288 | 1.238 | 0.764 |
| 2019 | 0.351 | 1.17 | 1.211 | 0.096 | 0.13 | 0.592 | 1.076 | 0.503 | 0.790 | 1.185 | 1.394 | 1.290 | 0.791 |
| 2020 | 1.001 | 1.16 | 1.196 | 0.107 | 0.134 | 0.720 | 1.025 | 0.481 | 0.753 | 1.181 | 1.26 | 1.221 | 0.838 |
| 2021 | 1.087 | 1.193 | 1.204 | 0.09 | 0.137 | 0.742 | 0.271 | 0.451 | 0.361 | 1.177 | 1.188 | 1.183 | 0.755 |
| 2022 | 1.086 | 1.457 | 1.209 | 0.081 | 0.107 | 0.788 | 1.004 | 0.454 | 0.729 | 1.178 | 1.205 | 1.192 | 0.865 |
| Mean | 0.423 | 1.220 | 1.222 | 0.115 | 0.518 | 0.700 | 0.469 | 0.840 | 0.655 | 1.181 | 1.021 | 1.101 | 0.779 |
| Year | Upstream | Midstream | Downstream | YRB | |||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Gansu | Sichuan | Inner Mongolia | Ningxia | Qinghai | Mean | Shanxi | Shaanxi | Mean | Shandong | Hennan | Mean | ||
| 2005–2006 | 0.993 | 0.98 | 0.839 | 0.941 | 0.707 | 0.885 | 0.127 | 0.97 | 0.35 | 1.016 | 0.958 | 0.987 | 0.738 |
| 2006–2007 | 0.797 | 0.838 | 0.844 | 1.061 | 0.781 | 0.859 | 0.637 | 0.581 | 0.608 | 0.975 | 1.067 | 1.02 | 0.826 |
| 2007–2008 | 1.227 | 1.07 | 0.938 | 1.268 | 0.978 | 1.088 | 1.04 | 1.008 | 1.024 | 1.067 | 1.102 | 1.085 | 1.073 |
| 2008–2009 | 0.356 | 1.173 | 0.902 | 1.057 | 1.636 | 0.918 | 1.186 | 1.728 | 1.431 | 1.235 | 1.204 | 1.219 | 1.079 |
| 2009–2010 | 0.659 | 0.662 | 0.837 | 1.006 | 0.603 | 0.74 | 0.893 | 0.481 | 0.655 | 1.187 | 1.027 | 1.104 | 0.787 |
| 2010–2011 | 0.885 | 1.511 | 1.056 | 1.082 | 1.347 | 1.156 | 1.168 | 0.932 | 1.043 | 1.296 | 1.255 | 1.275 | 1.155 |
| 2011–2012 | 0.676 | 0.939 | 0.902 | 1.26 | 1.21 | 0.973 | 0.889 | 0.769 | 0.827 | 1.167 | 1.089 | 1.127 | 0.97 |
| 2012–2013 | 1.041 | 1.031 | 1.053 | 1.659 | 1.025 | 1.14 | 1.315 | 1.522 | 1.415 | 2.077 | 1.257 | 1.616 | 1.292 |
| 2013–2014 | 0.94 | 0.809 | 0.908 | 1.003 | 0.979 | 0.925 | 1.107 | 0.794 | 0.937 | 0.757 | 1.04 | 0.888 | 0.919 |
| 2014–2015 | 0.927 | 1.218 | 1.057 | 0.737 | 1.013 | 0.977 | 1.075 | 0.891 | 0.979 | 1.024 | 1.065 | 1.044 | 0.992 |
| 2015–2016 | 0.954 | 1.025 | 1.053 | 0.9 | 1.112 | 1.006 | 1.22 | 1.286 | 1.252 | 1.365 | 1.474 | 1.418 | 1.14 |
| 2016–2017 | 0.869 | 0.97 | 1.029 | 1.107 | 0.894 | 0.97 | 0.956 | 0.858 | 0.906 | 0.96 | 1.607 | 1.242 | 1.009 |
| 2017–2018 | 0.994 | 0.988 | 0.944 | 0.964 | 0.976 | 0.973 | 1.234 | 1.019 | 1.122 | 0.997 | 0.981 | 0.989 | 1.008 |
| 2018–2019 | 1.171 | 1.008 | 1.162 | 1.086 | 1.004 | 1.084 | 1.733 | 1.006 | 1.32 | 1.006 | 1.108 | 1.056 | 1.126 |
| 2019–2020 | 1.021 | 0.996 | 1.085 | 1.043 | 0.996 | 1.028 | 0.194 | 1.025 | 0.446 | 0.994 | 0.945 | 0.969 | 0.843 |
| 2020–2021 | 1.054 | 1.015 | 1.469 | 0.965 | 1.029 | 1.093 | 1.049 | 1.011 | 1.03 | 1.026 | 0.97 | 0.998 | 1.057 |
| 2021–2022 | 0.797 | 1.108 | 0.724 | 0.956 | 0.638 | 0.829 | 1.016 | 0.942 | 0.978 | 0.992 | 0.992 | 0.992 | 0.895 |
| Mean | 0.874 | 1.005 | 0.976 | 1.049 | 0.967 | 0.973 | 0.858 | 0.948 | 0.902 | 1.100 | 1.113 | 1.106 | 0.984 |
| Year | Original Mean Efficiency | Adjusted Mean Efficiency | Percentage Change | Year | Original Mean Efficiency | Adjusted Mean Efficiency | Percentage Change |
|---|---|---|---|---|---|---|---|
| 2005 | 0.887 | 0.859 | −3.12% | 2005–2006 | 0.738 | 0.763 | 3.39% |
| 2006 | 0.797 | 0.823 | 3.26% | 2006–2007 | 0.826 | 0.861 | 4.20% |
| 2007 | 0.862 | 0.846 | −1.86% | 2007–2008 | 1.073 | 1.038 | −3.23% |
| 2008 | 0.841 | 0.810 | −3.74% | 2008–2009 | 1.079 | 1.028 | −4.72% |
| 2009 | 0.776 | 0.780 | 0.48% | 2009–2010 | 0.787 | 0.817 | 3.80% |
| 2010 | 0.748 | 0.785 | 4.96% | 2010–2011 | 1.155 | 1.100 | −4.73% |
| 2011 | 0.823 | 0.797 | −3.11% | 2011–2012 | 0.97 | 0.985 | 1.53% |
| 2012 | 0.74 | 0.756 | 2.23% | 2012–2013 | 1.292 | 1.231 | −4.75% |
| 2013 | 0.775 | 0.788 | 1.64% | 2013–2014 | 0.919 | 0.960 | 4.43% |
| 2014 | 0.703 | 0.726 | 3.27% | 2014–2015 | 0.992 | 1.003 | 1.06% |
| 2015 | 0.706 | 0.729 | 3.27% | 2015–2016 | 1.140 | 1.084 | −4.92% |
| 2016 | 0.674 | 0.698 | 3.59% | 2016–2017 | 1.009 | 0.974 | −3.51% |
| 2017 | 0.674 | 0.698 | 3.49% | 2017–2018 | 1.008 | 0.978 | −3.02% |
| 2018 | 0.764 | 0.734 | −3.93% | 2018–2019 | 1.126 | 1.077 | −4.37% |
| 2019 | 0.791 | 0.754 | −4.66% | 2019–2020 | 0.843 | 0.883 | 4.74% |
| 2020 | 0.838 | 0.808 | −3.63% | 2020–2021 | 1.057 | 1.015 | −3.99% |
| 2021 | 0.755 | 0.789 | 4.53% | 2021–2022 | 0.895 | 0.930 | 3.87% |
| 2022 | 0.865 | 0.823 | −4.91% | Mean | 0.984 | 0.978 | −0.65% |
| Mean | 0.779 | 0.796 | 2.21% | Upstream mean | 0.973 | 0.962 | −1.10% |
| Upstream mean | 0.700 | 0.703 | 0.36% | Midstream mean | 0.902 | 0.885 | −1.86% |
| Midstream mean | 0.655 | 0.686 | 4.74% | Downstream mean | 1.106 | 1.066 | −3.65% |
| Downstream mean | 1.101 | 1.058 | −3.88% |
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Li, Y.; Ni, L.; Chen, W.; Wang, Y.; Xie, D. Forestry Green Development Efficiency in China’s Yellow River Basin: Evidence from the Super-SBM Model and the Global Malmquist-Luenberger Index. Land 2026, 15, 147. https://doi.org/10.3390/land15010147
Li Y, Ni L, Chen W, Wang Y, Xie D. Forestry Green Development Efficiency in China’s Yellow River Basin: Evidence from the Super-SBM Model and the Global Malmquist-Luenberger Index. Land. 2026; 15(1):147. https://doi.org/10.3390/land15010147
Chicago/Turabian StyleLi, Yu, Longzhen Ni, Wenhui Chen, Yibai Wang, and Dongzhuo Xie. 2026. "Forestry Green Development Efficiency in China’s Yellow River Basin: Evidence from the Super-SBM Model and the Global Malmquist-Luenberger Index" Land 15, no. 1: 147. https://doi.org/10.3390/land15010147
APA StyleLi, Y., Ni, L., Chen, W., Wang, Y., & Xie, D. (2026). Forestry Green Development Efficiency in China’s Yellow River Basin: Evidence from the Super-SBM Model and the Global Malmquist-Luenberger Index. Land, 15(1), 147. https://doi.org/10.3390/land15010147
