Do Set-Asides Increase Plantation Establishment? The Case of U.S. Federal Timber Restrictions and Softwood Planting
Abstract
1. Introduction
2. Background
2.1. Softwood Production in the U.S. and the Endangered Species Act
2.2. Theory of Change
3. Methodology
3.1. Theoretical Framework
3.2. Empirical Specifications
3.3. Data
4. Results
4.1. IV-2SLS Elasticity Estimates
4.2. Linear Panel FE Robustness
4.3. Counterfactual Predictions
4.4. Heterogeneity: Replanting Versus Afforestation
5. Discussion
5.1. Main Findings
5.2. Mechanisms: Replanting vs. Afforestation
5.3. Boundary Conditions and Generalizability
5.4. Limitations
5.5. Policy Implications and Future Research
6. Conclusions
Author Contributions
Funding
Data Availability Statement
Acknowledgments
Conflicts of Interest
References
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| Variable | Source |
|---|---|
| Planting area (Acres, by state) | FIA database |
| Real Stumpage price (PNW, USD per ton, average of whole PNW region) | U.S. Forest Service |
| Real Stumpage price (South, USD per ton, by TimberMart-South regions, there are two regions in each state) | TimberMart-South |
| Annual precipitation (mm) | Prism Climate Group |
| Average temperature (°C) | Prism Climate Group |
| Real oil price (USD) | FRED |
| Nominal Annual interest rate (%) | FRED |
| Annual housing starts (units) | United State Census Bureau |
| Agriculture land area (Acres, by county) | USDA NASS |
| Pastureland area (thousand Acres, by state) | USDA NASS |
| Land area (Acres, by county) | USDA NASS |
| Softwood production in the South (billion board feet) | USDA Forest Products Laboratory |
| Price change compared to the past year (PNW, %) | U.S. Forest Service |
| Price change compared to the past year (South, %) | TimberMart South |
| Ag Return (Corn, USD per acre) | USDA NASS |
| Ag Return (Soybean, USD per acre) | USDA NASS |
| Model 1 (with Current Southern Price) | Model 2 (with One-Year Lag Southern Price) | Model 3 (with Both Current and One-Year Lag Southern Price) | |
|---|---|---|---|
| ln(Southern price) | 6.28 *** | −0.33 | |
| ln(one-year lag Southern price) | 5.72 *** | 3.87 *** | |
| ln(PNW price) | 1.07 ** | 1.19 *** | 1.37 *** |
| Annual precipitation | 0.04 * | 0.04 | 0.03 |
| Average temperature | 11.70 *** | 11.91 *** | 13.43 *** |
| Precipitation2 | 0 | 0.00 | 0 |
| Temperature2 | −0.34 *** | −0.35 *** | −0.39 *** |
| Real oil price | −0.02 *** | −0.03 *** | −0.03 *** |
| Annual interest rate | 0.11 *** | 0.25 *** | 0.24 *** |
| Revenue (Corn) | −0.01 *** | −0.01 *** | −0.01 *** |
| Revenue (Soybeans) | 0.00 ** | 0.00 ** | 0.00 ** |
| Period 2 (82–88) | 2.68 *** | 2.43 *** | 2.69 *** |
| Period 3 (89–96) | 3.48 *** | 3.46 *** | 3.53 *** |
| Period 4 (97–08) | 0.35 | 0.92 | 1.49 *** |
| Constant | −118.66 *** | −120.32 *** | −129.00 *** |
| Wald test p value (Period 2 and 3) | 0.001 | 0 | 0.001 |
| Hansen J test p value | 0 | 0 | 0 |
| Endogeneity test p value | 0 | 0 | 0 |
| Model 1 (Base Model) | Model 2 (with Price Change) | Model 3 (with Price Change, Estimated Harvest, and Wage) | |
|---|---|---|---|
| Period 2 (82–88) × Stumpage price (PNW) | −102.65 *** | −97.57 *** | −140.20 *** |
| Period 3 (89–96) × Stumpage price (PNW) | −131.31 *** | −131.62 *** | −157.07 *** |
| Period 4 (97–08) × Stumpage price (PNW) | −128.46 *** | −130.82 *** | −152.44 *** |
| Period 2 × Stumpage price (South) | 133.83 *** | 133.78 *** | 141.48 *** |
| Period 3 × Stumpage price (South) | 114.60 *** | 115.26 *** | 118.95 *** |
| Period 4 × Stumpage price (South) | 72.14 ** | 66.64 ** | 71.33 ** |
| Stumpage price (PNW) | 135.06 *** | 136.26 *** | 159.13 *** |
| Stumpage price (South) | −95.56 *** | −88.46 *** | −93.90 *** |
| Price Change (South) | −325.63 * | −307.57 ** | |
| Annual precipitation | −1.52 | −0.38 | −0.40 |
| Average temperature | −179.64 | −143.88 | −162.14 |
| Precipitation2 | 0.01 | 0.01 | 0.01 |
| Temperature2 | 8.28 | 7.70 | 7.62 |
| Real oil price | −13.11 *** | −13.85 *** | −14.43 *** |
| Annual interest rate | 103.07 *** | 111.40 *** | 95.26 *** |
| Annual housing starts | −0.005 ** | −0.005 ** | −0.004 * |
| Estimated harvest | −68.68 | ||
| Adjusted logging wage | −224.16 *** | ||
| Revenue (Corn) | −0.75 ** | −0.78 ** | −0.81 ** |
| Revenue (Soybeans) | 0.29 | 0.33 | 0.21 |
| Period 2 (82–88) | 4369.57 *** | 4137.19 *** | 5558.33 *** |
| Period 3 (89–96) | 6088.39 *** | 6059.54 *** | 6588.63 *** |
| Period 4 (97–08) | 6374.98 *** | 6603.29 *** | 7001.64 *** |
| Constant | −1132.30 | −1826.93 | 901.59 |
| R-squared | 0.062 | 0.063 | 0.064 |
| Time Stage | Raw Data | Predicted with Actual Input Parameters | Predicted with FE Fixed at 82–88 | Predicted with Prices Fixed at 82–88 Level | Predicted with Prices and FE Fixed at 82–88 Level |
|---|---|---|---|---|---|
| Period 1 (before 82) | 3161.5 | 4998.5 | 6338.6 | 3653.2 | 6040.4 |
| Period 2 (82–88) | 4305.7 | 6142.7 | 6142.7 | 6142.7 | 6142.7 |
| Period 3 (89–96) | 4625.6 | 6462.7 | 6942.9 | 6367.7 | 6141.2 |
| Period 4 (Post 96) | 3838.4 | 5674.1 | 6818.0 | 5645.1 | 5651.7 |
| Model Including Counties of Which Planting Area < 5k Acres Before Policy | Model Including Counties of Which Planting Area > 5k Acres Before Policy | |
|---|---|---|
| Period 2 (82–88) × Stumpage price (PNW) | −67.13 ** | −144.82 ** |
| Period 3 (89–96) × Stumpage price (PNW) | −78.45 *** | −197.06 ** |
| Period 4 (97–08) × Stumpage price (PNW) | −83.76 *** | −168.26 ** |
| Period 2 × Stumpage price (South) | 101.65 *** | 58.44 |
| Period 3 × Stumpage price (South) | 118.90 *** | 126.44 |
| Period 4 × Stumpage price (South) | 68.21 ** | 185.85 ** |
| Stumpage price (PNW) | 89.43 *** | 191.38 *** |
| Stumpage price (South) | −75.22 ** | −114.90 |
| Price Change (South) | 26.82 | −935.41 *** |
| Annual precipitation | 7.51 | −13.49 |
| Average temperature | −210.12 | 911.76 |
| Precipitation2 | −0.03 | 0.06 |
| Temperature2 | 7.98 | −20.33 |
| Real oil price | −12.74 *** | −12.17 *** |
| Annual interest rate | 57.49 *** | 192.54 *** |
| Annual housing starts | −0.01 *** | 0.00 |
| Revenue (Corn) | −0.66 | −1.38 ** |
| Revenue (Soybeans) | 0.55 | 1.59 * |
| Period 2 (82–88) | 2520.35 * | 8764.95 ** |
| Period 3 (89–96) | 3057.35 *** | 9821.16 *** |
| Period 4 (97–08) | 4059.66 *** | 5924.61 * |
| Constant | 75.54 | −12,521.20 |
| R-squared | 0.066 | 0.097 |
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Liu, B.; Sohngen, B.; Baker, J.S. Do Set-Asides Increase Plantation Establishment? The Case of U.S. Federal Timber Restrictions and Softwood Planting. Forests 2026, 17, 604. https://doi.org/10.3390/f17050604
Liu B, Sohngen B, Baker JS. Do Set-Asides Increase Plantation Establishment? The Case of U.S. Federal Timber Restrictions and Softwood Planting. Forests. 2026; 17(5):604. https://doi.org/10.3390/f17050604
Chicago/Turabian StyleLiu, Bingcai, Brent Sohngen, and Justin S. Baker. 2026. "Do Set-Asides Increase Plantation Establishment? The Case of U.S. Federal Timber Restrictions and Softwood Planting" Forests 17, no. 5: 604. https://doi.org/10.3390/f17050604
APA StyleLiu, B., Sohngen, B., & Baker, J. S. (2026). Do Set-Asides Increase Plantation Establishment? The Case of U.S. Federal Timber Restrictions and Softwood Planting. Forests, 17(5), 604. https://doi.org/10.3390/f17050604

