Reference evapotranspiration estimation in data-limited environments: An interpretable stacking ensemble framework integrating heterogeneous feature selection

• A novel ETo framework fusing heterogeneous feature selection and stacking. • High accuracy (R 2 = 0.967) with only four key meteorological factors. • Physical interpretability of the seasonally varying roles of key drivers. • Significant improvement in winter ETo estimation (p < 0.001). • High transferability (R 2 > 0.960) for data-limited agricultural regions. Effective irrigation planning and agricultural water management, particularly in regions with scarce meteorological data, fundamentally depend on the accurate calculation of reference evapotranspiration (ETo). Herein, a robust and interpretable ETo estimation framework combining heterogeneous integration feature selection (HIFS) and a stacking ensemble learning model was developed using daily meteorological data (1969–2019) from 32 sites across the Central Plains of China. HIFS created a consensus feature ranking by combining outputs from three embedded learners, extreme gradient boosting (XGBoost), random forest (RF), and gradient-boosted decision tree, through a fuzzy Borda aggregation approach. This method enabled the identification of four dominant input factors: relative humidity, wind speed at 2 m, sunshine duration, and maximum temperature. The stacking ensemble model, which integrated RF, XGBoost, and multilayer perceptron at the base level with linear regression as the metamodel, achieved peak performance with this optimal input combination (R 2 = 0.9672, 95% confidence interval [CI]: 0.9653–0.969; root mean square error [RMSE] = 0.3175 mm/d, 95% CI: 0.3127–0.3223), outperforming all individual base models. Seasonal evaluation revealed that the model substantially improved winter ETo estimation (R 2 improved from 0.6033 to 0.9046; errors decreased significantly, p < 0.001), a standard limitation of traditional models. Shapley additive explanation analysis confirmed the physically meaningful and seasonally varying roles of the key drivers. Neighbor-based transfer experiments revealed strong model transferability (R 2 > 0.96) when data from neighboring sites were used for training. This study offers a data-efficient and interpretable alternative to the FAO-56 PM equation, providing crucial technological support for agrometeorological decision-making in agricultural regions with similar temperate monsoon climates. However, the applicability of the proposed approach in other zones warrants further investigation.

Authors

Institutions

Publication Details

Journal
Information Processing in Agriculture
Published
2026-04-01
DOI
https://doi.org/10.1016/j.inpa.2026.04.001
Primary Topic
Plant Water Relations and Carbon Dynamics
Type
article
Field-Weighted Citation Impact
0.00

Funders

Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Reference evapotranspiration estimation in data-limited environments: An interpretable stacking ensemble framework integrating heterogeneous feature selection

Sibo Lu, Hanmi Zhou, Yidi Sun, Cheng Chen et al.
Information Processing in Agriculture
Plant Water Relations and Carbon Dynamics
article

Reference evapotranspiration estimation in data-limited environments: An interpretable stacking ensemble framework integrating heterogeneous feature selection

Sibo Lu, Hanmi Zhou, Yidi Sun, Cheng Chen, Rui Li, Linshuang Ma, Zhe Peng, Yumin Su, Lixin Zhang, Jichen Li
article en

Abstract

• A novel ETo framework fusing heterogeneous feature selection and stacking. • High accuracy (R 2 = 0.967) with only four key meteorological factors. • Physical interpretability of the seasonally varying roles of key drivers. • Significant improvement in winter ETo estimation (p < 0.001). • High transferability (R 2 > 0.960) for data-limited agricultural regions. Effective irrigation planning and agricultural water management, particularly in regions with scarce meteorological data, fundamentally depend on the accurate calculation of reference evapotranspiration (ETo). Herein, a robust and interpretable ETo estimation framework combining heterogeneous integration feature selection (HIFS) and a stacking ensemble learning model was developed using daily meteorological data (1969–2019) from 32 sites across the Central Plains of China. HIFS created a consensus feature ranking by combining outputs from three embedded learners, extreme gradient boosting (XGBoost), random forest (RF), and gradient-boosted decision tree, through a fuzzy Borda aggregation approach. This method enabled the identification of four dominant input factors: relative humidity, wind speed at 2 m, sunshine duration, and maximum temperature. The stacking ensemble model, which integrated RF, XGBoost, and multilayer perceptron at the base level with linear regression as the metamodel, achieved peak performance with this optimal input combination (R 2 = 0.9672, 95% confidence interval [CI]: 0.9653–0.969; root mean square error [RMSE] = 0.3175 mm/d, 95% CI: 0.3127–0.3223), outperforming all individual base models. Seasonal evaluation revealed that the model substantially improved winter ETo estimation (R 2 improved from 0.6033 to 0.9046; errors decreased significantly, p < 0.001), a standard limitation of traditional models. Shapley additive explanation analysis confirmed the physically meaningful and seasonally varying roles of the key drivers. Neighbor-based transfer experiments revealed strong model transferability (R 2 > 0.96) when data from neighboring sites were used for training. This study offers a data-efficient and interpretable alternative to the FAO-56 PM equation, providing crucial technological support for agrometeorological decision-making in agricultural regions with similar temperate monsoon climates. However, the applicability of the proposed approach in other zones warrants further investigation.

Information Processing in Agriculture
Henan University of Science and Technology (CN), North Minzu University (CN), Yangzhou University (CN)
National Natural Science Foundation of China, China Postdoctoral Science Foundation, Natural Science Foundation of Jiangsu Province, Science and Technology Innovation Talents in Universities of Henan Province
Climate action
Openalex Percentile: Top 22%
Plant Water Relations and Carbon Dynamics
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.