Canopy Tree Height Estimation Using Quantile Regression: Modeling and Evaluating Uncertainty in Remote Sensing

arXiv cs.CV / 4/9/2026

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Key Points

  • The paper targets satellite-based tree height estimation, arguing that current point-prediction methods are insufficient for risk-sensitive ecological and biomass use cases.
  • It adapts existing remote-sensing height estimation models by making a minor change to the prediction head to use quantile regression for uncertainty quantification.
  • The authors report that the resulting uncertainty estimates can be statistically calibrated, enabling model outputs that explicitly reflect confidence levels.
  • They analyze correlations between lower confidence and known remote-sensing difficulty factors such as terrain complexity and vegetation heterogeneity, suggesting the uncertainty behaves meaningfully.
  • Overall, the work demonstrates a practical path to retrofit uncertainty-aware predictions into existing tree height estimation pipelines without redesigning the full model.

Abstract

Accurate tree height estimation is vital for ecological monitoring and biomass assessment. We apply quantile regression to existing tree height estimation models based on satellite data to incorporate uncertainty quantification. Most current approaches for tree height estimation rely on point predictions, which limits their applicability in risk-sensitive scenarios. In this work, we show that, with minor modifications of a given prediction head, existing models can be adapted to provide statistically calibrated uncertainty estimates via quantile regression. Furthermore, we demonstrate how our results correlate with known challenges in remote sensing (e.g., terrain complexity, vegetation heterogeneity), indicating that the model is less confident in more challenging conditions.