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Updated: Dec 8, 2025

Hydroponics: A Versatile System to Study Nutrient Allocation and Plant Responses to Nutrient Availability and Exposure to Toxic Elements
Published on: July 13, 2016
Combination of Multivariate Standard Addition Technique and Deep Kernel Learning Model for Determining Multi-Ion in
Vu Ngoc Tuan1,2,3, Abdul Mateen Khattak2,4, Hui Zhu5,6
1Key Laboratory of Agricultural Informatization Standardization, Ministry of Agriculture and Rural Affairs, Beijing 100083, China.
This study enhances ion-selective electrodes (ISEs) for hydroponics using multivariate standard addition (MSAM) and deep kernel learning (DKL). The combined method improves accuracy for key nutrient ions, enabling better monitoring in closed hydroponic systems.
Area of Science:
- Agricultural Engineering
- Analytical Chemistry
- Machine Learning Applications
Background:
- Ion-selective electrodes (ISEs) are crucial for monitoring hydroponic systems but suffer from signal drift, interferences, and high ionic strength issues.
- Accurate nutrient monitoring is essential for optimizing plant growth and resource efficiency in controlled agricultural environments.
Purpose of the Study:
- To overcome the limitations of traditional ISEs in hydroponic applications.
- To develop an enhanced sensing structure combining multivariate standard addition (MSAM) and deep kernel learning (DKL) for accurate ion prediction.
- To improve the prediction accuracy and precision for eight essential ions (NO3-, NH4+, K+, Ca2+, Na+, Cl-, H2PO4-, Mg2+) in hydroponic solutions.
Main Methods:
- Employed a six-ISEs array integrated with the multivariate standard addition (MSAM) sampling technique.
- Utilized feature enrichment (FE) from MSAM to enhance data features for the deep kernel learning (DKL) model.
- Applied the combined MSAM-FE-DKL model to analyze ten real hydroponic samples.
Main Results:
- Achieved low root mean square errors (RMSE) below 63.8 mg·L-1 and coefficients of variation (CVs) below 8% for predicting six major ions (nitrate, ammonium, potassium, calcium, sodium, chloride).
- Successfully predicted phosphate (H2PO4-) and magnesium (Mg2+) with RMSEs of 29.6 and 8.7 mg·L-1, respectively, addressing limitations in detecting these ions.
- Demonstrated improved prediction reliability for existing ISE ions and enhanced detection capabilities for previously unavailable ions.
Conclusions:
- The proposed MSAM-FE-DKL sensing structure significantly improves the accuracy and precision of ISEs in hydroponic systems.
- This approach effectively mitigates inherent ISE shortcomings, making them more feasible for real-time monitoring in closed hydroponic environments.
- The study validates the successful application of advanced machine learning techniques for robust chemical sensing in agriculture.
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