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Updated: Apr 7, 2026

Development of an Individual-Tree Basal Area Increment Model using a Linear Mixed-Effects Approach
Published on: July 3, 2020
A Hierarchical Model for Quantifying Forest Variables Over Large Heterogeneous Landscapes With Uncertain Forest Areas
Andrew O Finley1, Sudipto Banerjee2, David W MacFarlane3
1Departments of Forestry and Geography, Michigan State University, East Lansing, MI 48824 ( finleya@msu.edu ).
This study introduces a new modeling framework to accurately predict forest variables like biomass and volume. It accounts for uncertainty in forest detection, improving estimation accuracy for forest resources.
Area of Science:
- Forestry
- Spatial Statistics
- Remote Sensing
Background:
- Predicting continuous forest variables (e.g., biomass, volume) at fine resolutions is crucial.
- Current two-step prediction methods often ignore errors in forest/non-forest classification, leading to biased estimates.
- Uncertainty propagation from forest status prediction to variable prediction is rarely addressed.
Purpose of the Study:
- Develop a modeling framework to propagate uncertainty in forest/non-forest prediction.
- Improve the accuracy of continuous forest variable predictions by accounting for classification errors.
- Address the challenge of biased estimates in forest resource assessments.
Main Methods:
- Proposed a novel modeling framework with two latent processes: a continuous spatial process for forest variables and a binary spatial process for forest presence.
- Applied georeferenced National Forest Inventory (NFI) data and remote sensing predictors.
- Utilized a low-rank predictive process for dimension reduction to handle large datasets and computational burden.
Main Results:
- The proposed framework allows for the propagation of uncertainty from forest status prediction.
- Demonstrated the adaptation of low-rank predictive processes for efficient modeling of large spatial datasets.
- Reduced computational burden and dimensionality in spatial forest variable prediction.
Conclusions:
- The developed modeling framework effectively incorporates uncertainty from forest detection, leading to more reliable forest variable predictions.
- Dimension reduction techniques like low-rank predictive processes are vital for computationally intensive spatial analyses.
- This approach enhances the accuracy of forest resource assessments by acknowledging and propagating prediction errors.
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