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March 13, 2026Remote Sensing0 citationsOpen Access

Predicting Tart Cherry Stem Water Potential Using UAV Multispectral Imagery and Environmental Data via Symbolic Regression

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ASAnderson L. S. SafreATAlfonso Faustino Torres-RuaKWKurt Wedegaertner

Key Points

  • The aim is to develop models for estimating stem water potential (Ψstem) in tart cherry using UAV multispectral imagery and environmental data.
  • Utilized high-resolution UAV multispectral imagery
  • Combined optical bands with meteorological and soil moisture data
  • Applied symbolic regression for model development
  • Conducted model validation using a leave-one-tree-out approach
  • Tested model robustness with an independent dataset
  • Achieved a correlation coefficient (R2) up to 0.80 for Ψstem estimates
  • Best performance observed with the Red Chromatic Coordinate (RCC) index (R2 = 0.67)
  • Generated six equations tailored to different data-availability scenarios
  • Resulting RMSE ranged from 0.11 to 0.08 MPa
  • Demonstrated the first application of symbolic regression for Ψstem estimation, enhancing model transparency

Abstract

Tart cherry is an important fruit crop in Utah, where irrigation is essential due to arid conditions. Precision irrigation requires reliable indicators of plant water status, and stem water potential (Ψstem), is among the most sensitive though labor-intensive and spatially limited. This study develops Ψstem estimation models using high-resolution multispectral Unmanned Aerial Vehicle (UAV) imagery combined with meteorological and soil moisture data, applying Symbolic Regression (SR). Results show a stronger correlation between optical bands and Ψstem during the pre-harvest period. Among 85 vegetation indices, the Red Chromatic Coordinate (RCC) index performed best (R2 = 0.67). Six equations were generated for different data-availability scenarios and validated using a leave-one-tree-out (modified k-fold) approach, resulting in Ψstem estimates with R2 values ranging from 0.67 to 0.80 and root mean square errors (RMSE) ranging from 0.11 to 0.08 MPa. Notably, SR was able to produce interpretable equations that enhance model transparency and transferability. Model robustness was further confirmed using an independent dataset from a different location. To our knowledge, this is the first application of SR for Ψstem estimation, offering a scalable and interpretable tool to support irrigation management in tart cherry orchards.

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Cite This Study

Safre et al. (2026) studied this question.

synapsesocial.com/papers/69b3ab9102a1e69014ccc806https://doi.org/10.3390/rs18060853
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