Estimating Aboveground Biomass and Surface Fuels in Semi-Arid Oak–Pine Forests Using Sentinel-2 Spectral Indices and Gamma GLMs
Abstract
1. Introduction
2. Materials and Methods
2.1. Study Area
2.2. Field Data Collection
2.2.1. Volume and Aboveground Live Biomass Estimation
2.2.2. Surface Fuel Biomass Estimation
2.2.3. Spectral Data Acquisition and Preprocessing
2.2.4. Spectral Index Classification and Ecological Rationale
2.2.5. Spectral Predictor Selection and Modeling Framework
2.2.6. Statistical Equations and Model Formulation
3. Results
3.1. Spectral Index Evaluation and Selection
3.2. Model Evaluation and Selection
3.3. Model Fit and Validation
3.4. PCA Analysis
4. Discussion
5. Conclusions
Supplementary Materials
Author Contributions
Funding
Data Availability Statement
Acknowledgments
Conflicts of Interest
References
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| Species | Abundance (Ind Plot−1) | DBH (cm) | HT (m) | CBH (m) | CD (m) |
|---|---|---|---|---|---|
| Quercus arizonica Sarg. | 50.13 ± 32.49 | 20.00 ± 10.18 | 5.08 ± 1.55 | 1.28 ± 0.95 | 3.55 ± 1.50 |
| Quercus sideroxyla Bonpl. | 6.59 ± 13.78 | 18.68 ± 6.13 | 6.17 ± 1.57 | 1.73 ± 0.15 | 3.54 ± 1.33 |
| Pinus arizonica Engelm. | 2.85 ± 5.60 | 20.25 ± 6.93 | 6.67 ± 1.91 | 2.03 ± 0.99 | 3.77 ± 1.24 |
| Pinus cembroides Zucc. | 6.26 ± 8.11 | 21.25 ± 15.47 | 5.91 ± 2.52 | 1.29 ± 1.09 | 4.09 ± 1.63 |
| Pinus engelmannii Carrière | 0.26 ± 1.03 | 24.50 ± 8.64 | 8.01 ± 3.01 | 3.16 ± 1.75 | 4.76 ± 2.06 |
| Pinus leiophylla Schiede ex Schltdl. & Cham. | 1.43 ± 6.65 | 24.26 ± 7.95 | 8.62 ± 1.98 | 3.43 ± 1.10 | 4.35 ± 1.63 |
| Juniperus deppeana Steud. | 3.65 ± 5.31 | 15.44 ± 9.72 | 4.27 ± 1.42 | 0.79 ± 0.54 | 3.27 ± 1.13 |
| Arbutus xalapensis Kunth | 1.65 ± 2.88 | 21.00 ± 14.03 | 4.84 ± 1.50 | 1.41 ± 0.51 | 4.13 ± 2.53 |
| Functional Group | Ecological Sensitivity | Included Spectral Indices | Main Application |
|---|---|---|---|
| Chlorophyll indices | Chlorophyll concentration, pigment activity, and red-edge response | MTCI, MTCI2, NDRE1, NDRE2, RENDVI, CIre7, CIre8A, REP1, VOG1, CCCI | Estimation of canopy productivity and photosynthetic activity |
| Soil/background correction indices | Reduction in soil reflectance and atmospheric effects | ARVI, EVI, EVI2, EVI5, OSAVI, RDVI | Improved spectral stability in heterogeneous forest conditions |
| Physiological indices | Plant stress, pigment degradation, and senescence processes | SIPI, MCARI, MTVI1, MTVI2, NPCI, TCARI, TGI | Detection of physiological condition and dry fuel accumulation |
| Vegetation vigor indices | Vegetation greenness, canopy density, and biomass accumulation | NDVI, NDVI1, NDVI2, NDVI3, NDVI4, NDVI5, NDVI6, SR, SR1, SR3, SR4, GNDVI, GNDVI2, GCI, CIgreen, CIg7, DVI, GLI, GIPVI, NVI1, PVIα | Estimation of vegetation vigor, canopy greenness, and red–NIR spectral gradients related to vegetation structure. |
| Category | Method/Metric | Analytical Expression |
|---|---|---|
| Statistical Model | Gamma GLM | log(μi) = β0 + β1Xi |
| Multivariate Gamma GLM | log(μi) = β0 + β1X1 + β2X2 + ⋯ + βnXn | |
| PCA-based Gamma GLM | log(μi) = β0 + β1Prin1 | |
| Dimension reduction | Principal Component | Prin1 = a1X1 + a2X2 + ⋯ + anXn |
| Evaluation metric | Root Mean Square Error | RMSE = √[(1/n)Σ(yi − ŷi)2] |
| Diagnostic metric | Variance Inflation Factor | VIF = 1/(1 − R2) |
| Biomass Component | Model Type | Predictors Included | Objective |
|---|---|---|---|
| Aboveground live biomass | Single-index GLM | CIre8A | Evaluate the best individual spectral predictor |
| Multivariate GLM | CIre8A + NDVI4 | Evaluate a reduced multivariate model after excluding highly collinear predictors | |
| PCA-based GLM | Prin1 derived from CIre8A, EVI2, NDVI4, and SIPI | Integrate the four selected functional spectral groups while reducing multicollinearity | |
| Forest floor biomass | Single-index GLM | NPCI | Evaluate the best individual spectral predictor |
| Multivariate GLM | NDVI + NPCI | Evaluate a reduced multivariate model after excluding highly collinear predictors | |
| PCA-based GLM | Prin1 derived from RENDVI, ARVI, NDVI, and NPCI | Integrate the four selected functional spectral groups while reducing multicollinearity | |
| Downed woody debris | Single-index GLM | ARVI | Evaluate the best individual spectral predictor |
| Multivariate GLM | PVIα + NPCI | Evaluate a reduced multivariate model after excluding highly collinear predictors | |
| PCA-based GLM | Prin1 derived from RENDVI, ARVI, PVIα, and NPCI | Integrate the four selected functional spectral groups while reducing multicollinearity |
| Biomass Component | Functional Group | Selected Index | AIC | BIC | Deviance/DF | Pearson χ2/DF | p-Value |
|---|---|---|---|---|---|---|---|
| Aboveground live biomass | Chlorophyll | CIre8A | 459.6534 | 465.3289 | 0.3359 | 0.3543 | 0.0019 |
| Soil/background correction | EVI2 | 456.4565 | 462.1319 | 0.3156 | 0.3343 | 0.0003 | |
| Vegetation vigor | NDVI4 | 461.1528 | 466.8283 | 0.3458 | 0.3736 | 0.0042 | |
| Physiological | SIPI | 459.5476 | 465.223 | 0.3352 | 0.3644 | 0.0019 | |
| Forest floor biomass | Chlorophyll | RENDVI | 222.7216 | 228.3971 | 0.3897 | 0.3481 | 0.01 |
| Soil/background correction | ARVI | 219.2465 | 224.9219 | 0.3644 | 0.3202 | 0.0012 | |
| Vegetation vigor | NDVI | 223.239 | 228.9145 | 0.3936 | 0.3651 | 0.0131 | |
| Physiological | NPCI | 217.5109 | 223.1864 | 0.3523 | 0.3327 | 0.0003 | |
| Downed woody debris | Chlorophyll | RENDVI | 289.8162 | 295.4917 | 0.3386 | 0.369 | <0.0001 |
| Soil/background correction | ARVI | 283.0512 | 288.7266 | 0.2968 | 0.3525 | <0.0001 | |
| Vegetation vigor | PVIα | 288.2084 | 293.8839 | 0.3282 | 0.3679 | <0.0001 | |
| Physiological | NPCI | 286.6104 | 292.2859 | 0.3181 | 0.3707 | <0.0001 |
| Biomass Component | Model | Parameter | Estimate | Standard Error | Wald χ2 | p-Value |
|---|---|---|---|---|---|---|
| Aboveground live biomass | CIre8A | Intercept | 1.9608 | 0.454 | 18.65 | <0.0001 |
| CIre8A | 6.3227 | 1.5633 | 16.36 | <0.0001 | ||
| CIre8A + NDVI4 | Intercept | 2.0845 | 0.5549 | 14.11 | 0.0002 | |
| CIre8A | 5.0301 | 3.6517 | 1.9 | 0.1684 | ||
| NDVI4 | 2.2316 | 5.689 | 0.15 | 0.6949 | ||
| PCA-Prin1 | Intercept | 3.7722 | 0.0699 | 2912.84 | <0.0001 | |
| Prin1 | 0.1594 | 0.0385 | 17.14 | <0.0001 | ||
| Forest floor biomass | NDVI | Intercept | −0.0832 | 0.4357 | 0.04 | 0.8486 |
| NDVI | 5.9939 | 1.7533 | 11.69 | 0.0006 | ||
| NDVI + NPCI | Intercept | 1.726 | 1.0654 | 2.62 | 0.1052 | |
| NDVI | 1.6465 | 2.8623 | 0.33 | 0.5651 | ||
| NPCI | −6.4879 | 3.5345 | 3.37 | 0.0664 | ||
| PCA-Prin1 | Intercept | 1.4305 | 0.0867 | 272.03 | <0.0001 | |
| Prin1 | 0.1806 | 0.0546 | 10.93 | 0.0009 | ||
| Downed woody debris | PVIα | Intercept | −14.8861 | 2.8858 | 26.61 | <0.0001 |
| PVIα | 21.8846 | 3.7163 | 34.68 | <0.0001 | ||
| PVIα + NPCI | Intercept | −4.137 | 4.6923 | 0.78 | 0.378 | |
| PVIα | 9.0493 | 5.7352 | 2.49 | 0.1146 | ||
| NPCI | −7.3725 | 2.6824 | 7.55 | 0.006 | ||
| PCA-Prin1 | Intercept | 2.0854 | 0.0662 | 992.95 | <0.0001 | |
| Prin1 | 0.276 | 0.0401 | 47.37 | <0.0001 |
| Biomass Component | Model | AIC | BIC | RMSE | Pearson χ2 | Pearson χ2/DF | Deviance/DF | McFadden Pseudo-R2 | VIF |
|---|---|---|---|---|---|---|---|---|---|
| Aboveground live biomass | CIre8A | 389.547 | 394.8995 | 19.4394 | 9.1501 | 0.2179 | 0.2385 | 0.0409 | 1 |
| CIre8A + NDVI4 | 391.3922 | 398.529 | 19.4841 | 9.2659 | 0.226 | 0.2435 | 0.0413 | >10 | |
| PCA-Prin1 | 388.5218 | 393.8744 | 19.6196 | 9.247 | 0.2202 | 0.2332 | 0.0435 | 1 | |
| Forest floor biomass | NDVI | 195.375 | 200.7949 | 4.4144 | 12.2471 | 0.2848 | 0.3443 | 0.041 | 1 |
| NDVI + NPCI | 194.0068 | 201.2335 | 4.3828 | 11.8034 | 0.281 | 0.3282 | 0.047 | 4.16 | |
| PCA-Prin1 | 193.8421 | 199.262 | 4.3763 | 11.5217 | 0.2679 | 0.3214 | 0.051 | 1 | |
| Downed woody debris | PVIα | 261.6885 | 267.2389 | 5.0775 | 11.7292 | 0.2606 | 0.2586 | 0.073 | 1 |
| PVIα + NPCI | 256.3916 | 263.7922 | 5.0385 | 9.654 | 0.2194 | 0.2277 | 0.0918 | 3.58 | |
| PCA-Prin1 | 254.3319 | 259.8823 | 5.0392 | 9.5497 | 0.2122 | 0.2223 | 0.092 | 1 |
| Biomass Component | Model | Residual Mean | Residual SD | Skewness | Kurtosis | p-Value t | p-Value KS | p-Value CvM | p-Value AD |
|---|---|---|---|---|---|---|---|---|---|
| Aboveground live biomass | CIre8A | −0.074 | 0.477 | −0.150 | −0.174 | 0.312 | >0.150 | >0.250 | >0.250 |
| CIre8A + NDVI4 | −0.073 | 0.476 | −0.102 | −0.136 | 0.312 | >0.150 | >0.250 | >0.250 | |
| PCA-Prin1 | −0.072 | 0.472 | −0.048 | −0.130 | 0.315 | >0.150 | >0.250 | >0.250 | |
| Forest floor biomass | NDVI | −0.082 | 0.521 | 0.015 | −0.215 | 0.267 | >0.150 | >0.250 | >0.250 |
| NDVI + NPCI | −0.080 | 0.504 | 0.068 | −0.338 | 0.278 | >0.150 | >0.250 | >0.250 | |
| PCA-Prin1 | −0.076 | 0.498 | −0.052 | −0.287 | 0.294 | >0.150 | >0.250 | >0.250 | |
| Downed woody debris | PVIα | −0.081 | 0.496 | 0.131 | 0.427 | 0.271 | >0.150 | >0.250 | >0.250 |
| PVIα + NPCI | −0.069 | 0.461 | −0.026 | 0.263 | 0.309 | 0.1073 | >0.250 | >0.250 | |
| PCA-Prin1 | −0.069 | 0.461 | −0.049 | 0.187 | 0.310 | >0.150 | >0.250 | >0.250 |
| Biomass Component | Spectral Index | Mean | Std. Dev. | Loading Prin1 |
|---|---|---|---|---|
| Aboveground live biomass | CIre8A | 0.29049 | 0.04956 | 0.50479 |
| NDVI4 | 0.11323 | 0.03304 | 0.49273 | |
| EVI2 | 0.11176 | 0.01896 | 0.49634 | |
| SIPI | 0.46461 | 0.03397 | 0.50602 | |
| Forest floor biomass | RENDVI | 0.1433 | 0.02271 | 0.49006 |
| ARVI | 0.06731 | 0.05483 | 0.51666 | |
| NDVI | 0.24394 | 0.05098 | 0.51101 | |
| NPCI | 0.11714 | 0.04195 | −0.48143 | |
| Downed woody debris | RENDVI | 0.15098 | 0.03233 | 0.49731 |
| ARVI | 0.08285 | 0.07032 | 0.51411 | |
| NPCI | 0.10883 | 0.04627 | −0.47893 | |
| PVIα | 0.7763 | 0.02224 | 0.50892 |
| Biomass Component | Prin1 Eigenvalue | Proportion of Variance | Cumulative Variance |
|---|---|---|---|
| Aboveground live biomass | 3.81 | 0.9525 (95.25%) | 95.25% |
| Forest floor biomass | 3.6118 | 0.9030 (90.30%) | 90.30% |
| Downed woody debris | 3.6923 | 0.9231 (92.31%) | 92.31% |
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Hermosillo-Rojas, D.E.; Pinedo-Alvarez, A.; López-Serrano, P.M.; Prieto-Amparán, J.A.; Santellano-Estrada, E.; Martínez-Salvador, M. Estimating Aboveground Biomass and Surface Fuels in Semi-Arid Oak–Pine Forests Using Sentinel-2 Spectral Indices and Gamma GLMs. Forests 2026, 17, 852. https://doi.org/10.3390/f17070852
Hermosillo-Rojas DE, Pinedo-Alvarez A, López-Serrano PM, Prieto-Amparán JA, Santellano-Estrada E, Martínez-Salvador M. Estimating Aboveground Biomass and Surface Fuels in Semi-Arid Oak–Pine Forests Using Sentinel-2 Spectral Indices and Gamma GLMs. Forests. 2026; 17(7):852. https://doi.org/10.3390/f17070852
Chicago/Turabian StyleHermosillo-Rojas, David Efraín, Alfredo Pinedo-Alvarez, Pablito Marcelo López-Serrano, Jesús Alejandro Prieto-Amparán, Eduardo Santellano-Estrada, and Martín Martínez-Salvador. 2026. "Estimating Aboveground Biomass and Surface Fuels in Semi-Arid Oak–Pine Forests Using Sentinel-2 Spectral Indices and Gamma GLMs" Forests 17, no. 7: 852. https://doi.org/10.3390/f17070852
APA StyleHermosillo-Rojas, D. E., Pinedo-Alvarez, A., López-Serrano, P. M., Prieto-Amparán, J. A., Santellano-Estrada, E., & Martínez-Salvador, M. (2026). Estimating Aboveground Biomass and Surface Fuels in Semi-Arid Oak–Pine Forests Using Sentinel-2 Spectral Indices and Gamma GLMs. Forests, 17(7), 852. https://doi.org/10.3390/f17070852

