Forest Age Estimation by Integrating Tree Species Identity and Multi-Source Remote Sensing: Validating Heterogeneous Growth Patterns Through the Plant Economic Spectrum Theory
Highlights
- A tandem remote sensing framework that integrates species classification and species-aware growth modeling achieves a substantial improvement in plantation age estimation accuracy (R2 increased from 0.62 to 0.84).
- It provides direct empirical evidence that the Plant Economic Spectrum theory is traceable in remote sensing data, with species’ functional traits driving distinct age–feature relationships.
- The framework shows high operational robustness (error propagation coefficient γ = 0.23), demonstrating its feasibility for large-scale mapping despite classification uncertainties.
- This species-informed methodology establishes a reliable basis for enhancing the accuracy of plantation carbon sink quantification and enables precision forest management.
Abstract
1. Introduction
2. Data and Methods
2.1. Study Area
2.2. Data
2.2.1. Remote Sensing Data
2.2.2. Sample Data
2.3. Methods
- (1)
- An automated data preprocessing module that leverages the GEE platform for streamlined handling of multi-source data.
- (2)
- A high-precision tree species identification module that employs a Gradient Boosting Decision Tree (GBDT) algorithm to integrate multi-dimensional features from optical, radar, and topographic data.
- (3)
- A precise forest age estimation module that constructs a system of species-specific growth parameters for developing differentiated estimation models.
- (4)
- A data output and validation module responsible for generating age distribution products and conducting systematic accuracy assessments.
2.3.1. Tree Species Classification
2.3.2. Forest Age Estimation Model
- (1)
- M_baseline (Baseline Model): A Random Forest regressor using 12 multi-source remote sensing features—five vegetation indices (Normalized Difference Vegetation Index, NDVI; Enhanced Vegetation Index, EVI; Normalized Difference Moisture Index, NDMI; Normalized Burn Ratio, NBR; Soil Adjusted Vegetation Index, SAVI), three radar features (vertical transmit/vertical receive backscatter, VV; vertical transmit/horizontal receive backscatter, VH; Radar Vegetation Index, RVI) and four topographic features (elevation, slope, aspect, Topographic Position Index, TPI)—establishing a unified age–remote sensing relationship without species differentiation.
- (2)
- M_feature (Feature Selection Model): Extending M_baseline by incorporating Boruta algorithm for feature selection, evaluating the contribution of feature optimization to model performance.
- (3)
- M_operational (Operational Model): The primary model employing a unified Random Forest framework, with its core innovation being the incorporation of species probability distributions from the front-end classifier as continuous features. These species’ probability distributions were then combined with the 12 multi-source features, resulting in a 15-dimensional input vector for the Random Forest regressor. Using probabilistic outputs rather than hard classification provides richer, continuous species identity information, enabling the model to learn transitional characteristics and uncertainties between species, thereby enhancing estimation accuracy and robustness.
2.3.3. Accuracy Assessment and Uncertainty Analysis
3. Results and Analysis
3.1. Tree Species Classification Results for Plantations
3.1.1. Classification Accuracy Validation
3.1.2. Feature Importance Analysis
3.2. Plantation Age Estimation Results
3.2.1. Model Accuracy Evaluation
3.2.2. Feature Contribution Analysis

3.2.3. Spatial Patterns of Plantation Age
3.3. Uncertainty Analysis
4. Discussion
4.1. Methodological Contributions and Theoretical Implications
4.2. Methodological Contributions and Framework Robustness
4.3. Implications Within the Karst Ecosystem
4.4. Uncertainty Analysis and Robustness of Conclusions
4.5. Limitations and Future Perspectives
- (1)
- Species scope and regional specificity: The framework is optimized for three dominant conifers in the study region. Application to more diverse forests or other regions would require expanding the classification system and recalibrating species-specific parameters, which may introduce new error sources.
- (2)
- Indirect acquisition of ground-truth age: As noted in Section 4.4, future efforts should prioritize building more robust age validation datasets, potentially through integration of multi-temporal LiDAR (e.g., GEDI, ICESat-2) for direct height-growth chronologies or through dedicated permanent plot networks combined with dendrochronology [57].
- (3)
- Transferability of feature engineering: The inclusion of atmospheric variables (AOT, WVP) in classification, while marginally beneficial (~2.1% accuracy gain), raises concerns about interpretability and temporal generalizability due to potential dependency on acquisition conditions. Future work should investigate more physiographically stable features or spatiotemporal fusion techniques to enhance model portability [58].
- (4)
- Scope of innovation in classification: The species classification accuracy (OA = 89.34%) is consistent with prior regional work. The principal innovation lies not in this metric per se, but in the novel and systematic integration of the classifier’s probability output as a key driver for downstream heterogeneous growth modeling, coupled with the rigorous quantification of the entire workflow’s robustness.
5. Conclusions
- (1)
- Significant accuracy improvement: The operational model (M_operational) achieved an R2 of 0.84 (RMSE = 6.52 years), representing a substantial improvement over the baseline model that ignored species heterogeneity (R2 = 0.62).
- (2)
- Robust operational potential: Close agreement between overall accuracy and ideal “known species” conditions, combined with low sensitivity to classification errors (γ = 0.23), confirms practical robustness.
- (3)
- Ecological mechanism validation: Species functional trait differences drive heterogeneity in age–remote sensing relationships, confirming Plant Economic Spectrum theory’s applicability to regional-scale remote sensing inversion.
Author Contributions
Funding
Data Availability Statement
Acknowledgments
Conflicts of Interest
References
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| Data Category | Data/Feature | Specification | Purpose |
|---|---|---|---|
| Remote Sensing | Sentinel-2 MSI | 2024 growing season composite; Spatial res.: 10 m (B2, B3, B4, B8), 20 m (B5–B7, B8A, B11, B12), 60 m (B1, B9, B10); Temporal res.: 5-day revisit. | Calculation of vegetation indices. |
| Sentinel-1 SAR | 2024; Spatial res.: 10 m (IW GRD); Temporal res.: 12-day revisit. Polarizations: VV, VH. | Canopy structure information (RVI-derived). | |
| Landsat series | 1992–2024; Spatial res.: 30 m; Temporal res.: 16-day revisit. Processed with LandTrendr algorithm. | Disturbance history detection (Year of Detection, recovery rate). | |
| Environmental | SRTM DEM | Spatial res.: 30 m (1 arc-second). | Extraction of topographic features (elevation, slope, aspect, TPI). |
| Forest inventory | Temporal: 2015 survey, updated to 2024; Spatial unit: Subcompartment polygons. | Model training and validation (species & forest age labels). | |
| Feature Sets | Vegetation Indices | NDVI, EVI, NDMI, NBR, SAVI (derived from Sentinel-2). | Characterizing biophysical parameters. |
| Radar Features | VV, VH backscatter coefficients, and Radar Vegetation Index (RVI). | Providing structural information. | |
| Topographic | Elevation, slope, aspect, Topographic Position Index (TPI) (derived from SRTM). | Representing environmental gradients. | |
| Temporal | LandTrendr-derived Year of Disturbance (YOD) and spectral recovery rate. | Serving as baseline for age estimation. |
| Dataset | Total Samples | Samples (n) | Proportion (%) | Validation |
|---|---|---|---|---|
| Total Samples | Valid sample | 142,434 | 100 | - |
| Training set | 99,704 | 70 | - | |
| Test set | 42,730 | 30 | Spatial CV | |
| Species Composition | Chinese fir | 82,612 | 58 | R2 = 0.873 |
| Armand pine | 32,760 | 23 | R2 = 0.891 | |
| Yunnan pine | 27,062 | 19 | R2 = 0.857 | |
| Model Performance | M_baseline | - | - | R2 = 0.62, RMSE = 8.04 |
| M_operational | - | - | R2 = 0.84, RMSE = 6.52 |
| Species | Base Seedling Age (yr) | Elevation Adjustment | Recovery Sensitivity | Growth Rate Factor | Ecological Rationale |
|---|---|---|---|---|---|
| Pinus armandii | 8 | +2 yr (>1500 m) | 0.12 | 1.00 | Slow-growing, high-elevation adapted |
| Cunninghamia lanceolata | 4 | +1 yr (>1500 m) | 0.15 | 1.08 | Fast-growing, plantation management |
| Pinus yunnanensis | 6 | +2 yr (>1500 m) | 0.10 | 1.05 | Moderate growth, drought-tolerant |
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Zhang, X.; Zhang, C.; Zhou, L.; Liu, H.; Fu, L.; Yang, W. Forest Age Estimation by Integrating Tree Species Identity and Multi-Source Remote Sensing: Validating Heterogeneous Growth Patterns Through the Plant Economic Spectrum Theory. Remote Sens. 2026, 18, 407. https://doi.org/10.3390/rs18030407
Zhang X, Zhang C, Zhou L, Liu H, Fu L, Yang W. Forest Age Estimation by Integrating Tree Species Identity and Multi-Source Remote Sensing: Validating Heterogeneous Growth Patterns Through the Plant Economic Spectrum Theory. Remote Sensing. 2026; 18(3):407. https://doi.org/10.3390/rs18030407
Chicago/Turabian StyleZhang, Xiyu, Chao Zhang, Li Zhou, Huan Liu, Lianjin Fu, and Wenlong Yang. 2026. "Forest Age Estimation by Integrating Tree Species Identity and Multi-Source Remote Sensing: Validating Heterogeneous Growth Patterns Through the Plant Economic Spectrum Theory" Remote Sensing 18, no. 3: 407. https://doi.org/10.3390/rs18030407
APA StyleZhang, X., Zhang, C., Zhou, L., Liu, H., Fu, L., & Yang, W. (2026). Forest Age Estimation by Integrating Tree Species Identity and Multi-Source Remote Sensing: Validating Heterogeneous Growth Patterns Through the Plant Economic Spectrum Theory. Remote Sensing, 18(3), 407. https://doi.org/10.3390/rs18030407

