Abstract
Water scarcity is a significant challenge in Iran’s agricultural sector, particularly for onion (Allium cepa L.) cultivation, which is a vital crop for the country’s economy and diet. However, there is a lack of standardized data on onion evapotranspiration (ETc) in semi-arid conditions, making precise irrigation management difficult. To address this gap, a two-year field experiment was conducted at the Kooshkak Agricultural Research Station, Shiraz University, Iran to measure ETc using digital weighing lysimeters based on the water balance method and to develop predictive models using machine learning algorithms. The ETc of onion in the first and second years were 447.1 mm and 432.2 mm, respectively. Soil evaporation accounted for 36.6% and 32.8% of the total ETc in the first and second years, respectively. The average of single crop coefficient values for the initial, mid, and late growth stages across both years were 0.41, 0.68, and 0.51, respectively. Additionally, the basal crop coefficient values for the initial, mid, and late growth stages were 0.10, 0.51, and 0.37, respectively. To estimate ({text{E}text{T}}_{text{c}}) using easily accessible parameters, five machine learning algorithms were developed: Artificial Neural Network, Support Vector Machine, Decision Tree, Random Forest, and Lasso Regression. These models utilized meteorological variables (temperature, relative humidity, wind speed, net radiation) and crop parameters (leaf area index and plant height) as input features and measured ({text{E}text{T}}_{text{c}}) was utilized as target outputs for calibrating and validating the model. Among the algorithms, the RF and DT achieved the highest predictive accuracy (R2 = 0.98, NRMSE = 0.04), followed by ANN (R2 = 0.97, NRMSE = 0.07), SVR (R2 = 0.97, NRMSE = 0.08), and LASSO (R2 = 0.85, NRMSE = 0.18). Using lysimeter measurements as reliable reference data to evaluate machine-learning models provides a dependable framework for optimizing irrigation scheduling and enhancing water-use efficiency in onion cultivation under semi-arid conditions.
Data availability
Data will be available upon reasonable request from the corresponding author.
References
Rayegani, B., Barati, S., Farzaneh, M., Hosseini Tayefeh, F. & Torabinia, A. Assessment of the Magnitude and Extent of Climate Change in Different Regions of Iran. Environ. Interdisciplinary Dev. 10(87), 78–96. https://doi.org/10.22034/envj.2025.500584.1457 (2025). (In Farsi with English Abstract).
Gholikandi, G. B., Sadrzadeh, M., Jamshidi, S. & Ebrahimi, M. Water resource management in ancient Iran with emphasis on technological approaches: A cultural heritage. Water Sup. 13, 582–589. https://doi.org/10.2166/ws.2013.084 (2013).
Jafarpour, M., Adib, A., Lotfirad, M. & Kisi, Ö. Spatial evaluation of climate change-induced drought characteristics in different climates based on De Martonne Aridity Index in Iran. App Water Sci. 13, 133. https://doi.org/10.1007/s13201-023-01939-w (2023).
Barati, A. A., Zhoolideh, M., Azadi, H., Lee, J. H. & Scheffran, J. Interactions of land-use cover and climate change at global level: How to mitigate the environmental risks and warming effects. Ecol. Indic. 146, 109829. https://doi.org/10.1016/j.ecolind.2022.109829 (2023).
Alharbi, S., Felemban, A., Abdelrahim, A. & Al-Dakhil, M. Agricultural and Technology-based strategies to improve water-use efficiency in Arid and Semiarid areas. Water 16, 1842. https://doi.org/10.20944/preprints202405.0767.v1 (2024).
Nazari, B., Liaghat, A., Akbari, M. R. & Keshavarz, M. Irrigation water management in Iran: Implications for water use efficiency improvement. Agr Water Manage. 208, 7–18. https://doi.org/10.1016/j.agwat.2018.06.003 (2018).
Ratshiedana, P. E., Abd Elbasit, M. A., Adam, E. & Chirima, J. G. Evaluation of Micrometeorological Models for Estimating Crop Evapotranspiration Using a Smart Field Weighing Lysimeter. Water 17, 187. https://doi.org/10.3390/w17020187 (2025).
Allen, R., Pereira, L. S., Raes, D. & Smith, M. Crop evapotranspiration-Guidelines for computing crop water requirements-FAO Irrigation and drainage paper 56 (FAO, 1998).
Pereira, L. S. et al. Standard single and basal crop coefficients for vegetable crops, an update of FAO56 crop water requirements approach. Agr Water Manage. 243, 106196. https://doi.org/10.1016/j.agwat.2020.106196 (2021).
Ahmadpari, H., Garmdareh, H., Ghalehkohneh, K. & S, E. & Comparison of different methods of estimating potential evapotranspiration by FAO Penman Monteith (Case Study: Sepidan Region). Nivar 41, 13–22. https://doi.org/10.30467/nivar.2017.51886 (2017).
Al Tamimi, M. et al. Evapotranspiration and crop coefficients using lysimeter measurements for food crops in the hyper-arid United Arab Emirates. Agr Water Manage. 272, 107826. https://doi.org/10.1016/j.agwat.2022.107826 (2022).
Dinpashoh, Y. Study of reference crop evapotranspiration in I.R. of Iran. Agr Water Manage. 84, 123–129. https://doi.org/10.1016/j.agwat.2006.02.011 (2006).
Kebede, N., Ayana, M. & Mekonnen, B. Quantification of onion (Allium cepa L.) evapotranspiration and crop coefficient via weighable lysimeter under semi-arid climate of Melkasa. Ethiopia Heliyon. 11, e42566. https://doi.org/10.1016/j.heliyon.2025.e42566 (2025).
Evett, S. R. et al. The Bushland, Texas, maize evapotranspiration, growth, and yield dataset Collection. Sci. Data. 12, 209. https://doi.org/10.1038/s41597-025-04539-2 (2025).
Shahrokhnia, M. H. & Sepaskhah, A. R. Single and dual crop coefficients and crop evapotranspiration for wheat and maize in a semi-arid region. Theor. Appl. Climatol. 114, 495–510. https://doi.org/10.1007/s00704-013-0848-6 (2013).
Hashemi, M. & Sepaskhah, A. R. Evaluation of artificial neural network and Penman–Monteith equation for the prediction of barley standard evapotranspiration in a semi-arid region. Theor. Appl. Climatol. 139, 275–285. https://doi.org/10.1007/s00704-019-02966-x (2020).
Hargreaves, G. H. & Samani, Z. A. Reference Crop Evapotranspiration from Temperature. Appl. Eng. Agric. 1, 96–99. https://doi.org/10.13031/2013.26773 (1985).
Jensen, M. E., Burman, R. D. & Allen, R. G. Evapotranspiration and Irrigation Water Requirements. ASCE Manuals and Reports on Engineering Practices No. 70 332 (1990).
de Santa Olalla, F. M., Domınguez-Padilla, A. & López, R. Production and quality of the onion crop (Allium cepa L.) cultivated under controlled deficit irrigation conditions in a semi-arid climate. Agr Water Manage. 68, 77–89. https://doi.org/10.1016/j.agwat.2004.02.011 (2004).
López-Urrea, R., de Santa Olalla, F. M., Montoro, A. & López-Fuster, P. Single and dual crop coefficients and water requirements for onion (Allium cepa L.) under semiarid conditions. Agr Water Manage. 96, 031–1036. https://doi.org/10.1016/j.agwat.2009.02.004 (2009).
Abyaneh, H. Z., Varkeshi, M. B., Ghasemi, A., Marofi, S. & Chayjan, R. A. Determination of water requirement, single and dual crop coefficient of garlic (Allium sativum) in the cold semi-arid climate. Aust J. Crop Sci. 5, 1050–1054 (2011).
Kumar, S., Imtiyaz, M., Kumar, A. & Singh, R. Response of onion (Allium cepa L.) to different levels of irrigation water. Agr Water Manage. 89, 161–166. https://doi.org/10.1016/j.agwat.2007.01.003 (2007).
Mahla, P., Jaidka, M., Sharma, M. & Brar, N. S. Effect of Crop Geometry on Growth and Yield of Kharif Onion. J. Krishi Vigyan. 7, 267–269 (2019).
Hanelt, P. & Taxonomy Evolution, and History. In Onions and Allied Crops (eds Rabinowitch, H. D. & Brewster, J. L.) 1–26 (CRC, https://doi.org/10.1201/9781351075169-1 (2018).
Bahorun, T., Luximon-Ramma, A., Crozier, A. & Aruoma, O. I. Total phenol, flavonoid, proanthocyanidin and vitamin C levels and antioxidant activities of Mauritian vegetables. J. Sci. Food Agri. 84, 1553–1561. https://doi.org/10.1002/jsfa.1820 (2004).
Landeras, G., Ortiz-Barredo, A. & López, J. J. Comparison of artificial neural network models and empirical and semi-empirical equations for daily reference evapotranspiration estimation in the Basque Country (Northern Spain). Agr. Water Manage. 95, 553–565. https://doi.org/10.1016/j.agwat.2007.12.011 (2008).
Yamaç, S. S. & Todorovic, M. Estimation of daily potato crop evapotranspiration using three different machine learning algorithms and four scenarios of available meteorological data. Agr Water Manage. 228, e105875 https://doi.org/10.1016/j.agwat.2019.105875 (2020).
Yamaç, S. S. Artificial intelligence methods reliably predict crop evapotranspiration with different combinations of meteorological data for sugar beet in a semiarid area. Agr Water Manage. 254, e106968. https://doi.org/10.1016/j.agwat.2021.106968 (2021).
Alavi, M., Albaji, M., Golabi, M., Naseri, A. A. & Homayouni, S. Estimation of sugarcane evapotranspiration from remote sensing and limited meteorological variables using machine learning models. J. Hydrol. 629, 130605. https://doi.org/10.1016/j.jhydrol.2023.130605 (2024).
Granata, F. Evapotranspiration evaluation models based on machine learning algorithms—A comparative study. Agr Water Manage. 217, 303–315. https://doi.org/10.1016/j.agwat.2019.03.015 (2019).
Kisi, O. Modeling reference evapotranspiration using three different heuristic regression approaches. Agr Water Manage. 169, 162–172. https://doi.org/10.1016/j.agwat.2016.02.026 (2016).
Fan, J., Zheng, J., Wu, L. & Zhang, F. Estimation of daily maize transpiration using support vector machines, extreme gradient boosting, artificial and deep neural networks models. Agr Water Manage. 245, 106547. https://doi.org/10.1016/j.agwat.2020.106547 (2021).
Aghajanloo, M. B. & Sabziparvar, A. A. Hosseinzadeh Talaee, P. Artificial neural network–genetic algorithm for estimation of crop evapotranspiration in a semi-arid region of Iran. Neural Comput. Appl. 23, 1387–1393. https://doi.org/10.1007/s00521-012-1087-y (2013).
Malek, A. Method of evaluating water balance and determining climatic type: An example for Badjgah. Iran. J. Agri Sci. 12, 57–72 (1982).
Evett, S. R., Schwartz, R. C., Howell, T. A., Baumhardt, R. L. & Copeland, K. Can weighing lysimeter ET represent surrounding field ET well enough to test flux station measurements of daily and sub-daily ET? Adv. Water Resour. 50, 79–90. https://doi.org/10.1016/j.advwatres.2012.07.023 (2012).
Razzaghi, F. & Sepaskhah, A. R. Calibration and validation of four common ETo estimation equations by lysimeter data in a semi-arid environment. Arch. Agron. Soil. Sci. 58, 303–319. https://doi.org/10.1080/03650340.2010.518957 (2012).
Tei, F. Growth of Lettuce, Onion, and Red Beet. 1. Growth Analysis, Light Interception, and Radiation Use Efficiency. Ann. Bot. 78, 633–643. https://doi.org/10.1006/anbo.1996.0171 (1996).
Dongare, A. D., Kharde, R. R. & Kachare, A. D. Introduction to artificial neural network. Int. J. Eng. Innovative Technol. 2, 189–194 (2012).
Zupan, J. Introduction to Artificial Neural Network (ANN) Methods: What They Are and How to Use Them. Acta Chim. Slov. 41, 327 (1994).
Rohmah, M. F., Putra, I. K. G. D., Hartati, R. S. & Ardiantoro, L. Comparison Four Kernels of SVR to Predict Consumer Price Index. J. Phys. Conf. Ser. 1737, 012018. https://doi.org/10.1088/1742-6596/1737/1/012018 (2021).
Smola, A. J. & Schölkopf, B. A tutorial on support vector regression. Stat. Comput. 14, 199–222. https://doi.org/10.1023/B:STCO.0000035301.49549.88 (2004).
Charbuty, B. & Abdulazeez, A. Classification based on decision tree algorithm for machine learning. J. Appl. Sci. Technol. Trends. 2, 20–28. https://doi.org/10.38094/jastt20165 (2021).
Bi, Q., Goodman, K. E., Kaminsky, J. & Lessler, J. What is machine learning? A primer for the epidemiologist. Am. J. Epidemiol. 188, 2222–2239. https://doi.org/10.1093/aje/kwz189 (2019).
Chen, X., Zhu, C. C. & Yin, J. Ensemble of decision tree reveals potential miRNA-disease associations. Plos Comput. Biol. 15(7). https://doi.org/10.1371/journal.pcbi.1007209 (2019). e1007209.
Gulati, P., Sharma, A. & Gupta, M. Theoretical Study of Decision Tree Algorithms to Identify Pivotal Factors for Performance Improvement: A Review. Int. J. Comput. Appl. 141, 19–25. https://doi.org/10.5120/ijca2016909926 (2016).
Rigatti, S. J. & Random Forest J. Insur Med. 47, 31–39 https://doi.org/10.17849/insm-47-01-31-39.1 (2017).
Boulesteix, A., Janitza, S., Kruppa, J. & König, I. R. Overview of random forest methodology and practical guidance with emphasis on computational biology and bioinformatics. Wiley Interdiscip Rev. : Data Min. Knowl. Discov. 2, 493–507. https://doi.org/10.1002/widm.1072 (2012).
Breiman, L. & Random Forests Mach. Learn. 45, 5–32 https://doi.org/10.1023/A:1010933404324 (2001).
Tibshirani, R. Regression Shrinkage and Selection via the Lasso. J. R Stat. Soc. Ser. B Methodol. 58, 267–288. https://doi.org/10.1111/j.2517-6161.1996.tb02080.x (1996).
Alhamzawi, R. & Ali, H. T. M. The Bayesian adaptive lasso regression. Math. Biosci. 303, 75–82. https://doi.org/10.1016/j.mbs.2018.06.004 (2018).
Jo, J-M. Effectiveness of Normalization Pre-Processing of Big Data to the Machine Learning Performance. J. Korea Inst. Electron. Commun. Sci. 14, 547–552 https://doi.org/10.13067/JKIECS.2019.14.3.547 (2019).
Kalácska, M., Calvo-Alvarado, J. C. & Sánchez-Azofeifa, G. A. Calibration and assessment of seasonal changes in leaf area index of a tropical dry forest in different stages of succession. Tree Physiol. 25(6), 733–744. https://doi.org/10.1093/treephys/25.6.733 (2005).
Lucas, D. D. P., Heldwein, A. B., Hinnah, F. D., Maldaner, I. C. & Loose, L. H. Estimation of leaf area index in the sunflower as a function of thermal time1. Rev. Cienc. Agron. 46(2), 404–411. https://doi.org/10.5935/1806-6690.20150020 (2015).
Chen, J. M., Rich, P. M., Gower, S. T., Norman, J. M. & Plummer, S. Leaf area index of boreal forests: Theory, techniques, and measurements. J. Geophys. Res. 102, 29429–29443. https://doi.org/10.1029/97JD01107 (1997).
Luo, S. et al. Combining hyperspectral imagery and LiDAR pseudo-waveform for predicting crop LAI, canopy height and above-ground biomass. Ecol. Indic. 102, 801–812. https://doi.org/10.1016/j.ecolind.2019.03.011 (2019).
Kross, A., McNairn, H., Lapen, D., Sunohara, M. & Champagne, C. Assessment of RapidEye vegetation indices for estimation of leaf area index and biomass in corn and soybean crops. Int. J. Appl. Earth Obs Geoinf. 34, 235–248. https://doi.org/10.1016/j.jag.2014.08.002 (2015).
Casella, A. et al. Analysis of biophysical Variables in an onion crop (Allium cepa L.) with nitrogen fertilization by Sentinel-2 observations. Agronomy 12, 1884. https://doi.org/10.3390/agronomy12081884 (2022).
Rafie, M., Khoshgoftarmanesh, A. H., Shariatmadari, H. & Darabi, A. Comparison the effect of ZnSO4 and Zn-lysine aminio chelate foliar application on growth indices of Behbahan onion. Iran. J. Soil. Water Res. 49(2), 353–364. https://doi.org/10.22059/ijswr.2017.231268.667662 (2018). (In Farsi with English Abstract).
Saggi, M. K. & Jain, S. Application of fuzzy-genetic and regularization random forest (FG-RRF): Estimation of crop evapotranspiration (ET) for maize and wheat crops. Agr Water Manage. 229, 105907. https://doi.org/10.1016/j.agwat.2019.105907 (2020).
Kadayifci, A., Tuylu, G. İ., Ucar, Y. & Cakmak, B. Crop water use of onion (Allium cepa L.) in Turkey. Agr Water Manage. 72, 59–68. https://doi.org/10.1016/j.agwat.2004.08.002 (2005).
Piccinni, G., Ko, J., Marek, T. & Leskovar, D. I. Crop Coefficients Specific to Multiple Phenological Stages for Evapotranspiration-based Irrigation Management of Onion and Spinach. HortSci 44, 421–425. https://doi.org/10.21273/HORTSCI.44.2.421 (2009).
Doorenbos, J. & Kassam, A. FAO Irrigation and Drainage Paper No. 33 Yield Response to Water (FAO–Food and Agriculture Organization of the United Nations, 1979).
Domínguez, A. et al. Simulation of onion crop behavior under optimized regulated deficit irrigation using MOPECO model in a semi-arid environment. Agr Water Manage. 113, 64–75. https://doi.org/10.1016/j.agwat.2012.06.019 (2012).
Nassar, H., Elshinawy, M., Elbehairy, U. & Abouhadid, A. F. Estimation of crop coefficient for onion plant under delta Nile conditions. Arab. Univ. J. Agric. Sci. 27, 2653–2661. https://doi.org/10.21608/ajs.2019.19512.1118 (2019).
Acharki, S. et al. Comparative assessment of empirical and hybrid machine learning models for estimating daily reference evapotranspiration in sub-humid and semi-arid climates. Sci. Rep. 15(1), 2542. https://doi.org/10.1038/s41598-024-83859-6 (2025).
Mandal, N. & Chanda, K. Performance of machine learning algorithms for multi-step ahead prediction of reference evapotranspiration across various agro-climatic zones and cropping seasons. J. Hydrol. 620, 129418. https://doi.org/10.1016/j.jhydrol.2023.129418 (2023).
Aly, M. S., Darwish, S. M. & Aly, A. A. High performance machine learning approach for reference evapotranspiration estimation. Stoch. Env Res. Risk A. 38, 689–713. https://doi.org/10.1007/s00477-023-02594-y (2024).
Farag, A. A. Machine learning approaches for enhanced estimation of reference evapotranspiration (ETo): a comparative evaluation. Sci. Rep. 15(1), 38485. https://doi.org/10.1038/s41598-025-23166-w (2025).
Ayaz, A., Rajesh, M., Singh, S. K. & Rehana, S. Estimation of reference evapotranspiration using machine learning models with limited data. AIMS Geosci. 7(3), 268–290. https://doi.org/10.3934/geosci.2021016 (2021).
Bijlwan, A., Pokhriyal, S., Ranjan, R., Singh, R. K. & Jha, A. Machine learning methods for estimating reference evapotranspiration. J. Agrometeorol. 26, 63–68. https://doi.org/10.54386/jam.v26i1.2462 (2024).
Amani, S. & Shafizadeh-Moghadam, H. A review of machine learning models and influential factors for estimating evapotranspiration using remote sensing and ground-based data. Agr Water Manage. 284, 108324 https://doi.org/10.1016/j.agwat.2023.108324 (2023).
Belarbi, Z. & El Younoussi, Y. A Review on Optimizing Water Management in Agriculture through Smart Irrigation Systems and Machine Learning. In E3S Web of Conferences Vol. 601 00078 (EDP Sciences, 2025).
Zhao, L., Wang, Y., Shi, Y., Zhao, X. & Cui, N. Selecting essential factors for predicting reference crop evapotranspiration through tree-based machine learning and Bayesian optimization. Theor. Appl. Climatol. 155, 2953–2972. https://doi.org/10.1007/s00704-023-04760-2 (2023).
Achite, M. et al. Modern techniques to modeling reference evapotranspiration in a semiarid area based on ANN and GEP models. Water 14, 1210. https://doi.org/10.3390/w14081210 (2022).
Attia, A. et al. Coupling Process-Based Models and Machine Learning Algorithms for Predicting Yield and Evapotranspiration of Maize in Arid Environments. Water 14, 3647. https://doi.org/10.3390/w14223647 (2022).
76 Tang, D., Feng, Y., Gong, D., Hao, W. & Cui, N. Evaluation of artificial intelligence models for actual crop evapotranspiration modeling in mulched and non-mulched maize croplands. Comput. Electron. Agr. 152, 375–384. https://doi.org/10.1016/j.compag.2018.07.029 (2018).
Tabari, H., Martinez, C. & Ezani, A. Hosseinzadeh Talaee, P. Applicability of support vector machines and adaptive neurofuzzy inference system for modeling potato crop evapotranspiration. Irrig. Sci. 31, 575–588. https://doi.org/10.1007/s00271-012-0332-6 (2013).
Abrishami, N., Sepaskhah, A. R. & Shahrokhnia, M. H. Estimating wheat and maize daily evapotranspiration using artificial neural network. Theor. Appl. Climatol. 135, 945–958. https://doi.org/10.1007/s00704-018-2418-4 (2019).
Li, Y. et al. Using solar-induced chlorophyll fluorescence to predict winter wheat actual evapotranspiration through machine learning and deep learning methods. Agr Water Manage. 309, 109322. https://doi.org/10.1016/j.agwat.2025.109322 (2025).
Acknowledgements
The authors also thank the support of Shiraz University Research Council, Drought Research Center and Center of Excellence for On-Farm Water Management. The authors thank Mr. Hoseini for his great help and collaboration during the experiment.
Funding
This research was funded by Shiraz University under Grant no. 2GCB1M222407. Second author has received research support.
Author information
Authors and Affiliations
Contributions
Saba Hashempour: The conception and design of the study, acquisition of data, analysis, interpretation of data, and writing the first draft of manuscript; Fatemeh Razzaghi: The conception and design of the study, acquisition of data, analysis and interpretation of data, supervising, and revising the article critically; Ali Reza Sepaskhah: The conception and design of the study, and revising the article critically.
Corresponding author
Ethics declarations
Competing interests
The authors declare no competing interests.
Additional information
Publisher’s note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Supplementary Information
Below is the link to the electronic supplementary material.
Supplementary Material 1 (download DOCX )
Rights and permissions
Open Access This article is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License, which permits any non-commercial use, sharing, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if you modified the licensed material. You do not have permission under this licence to share adapted material derived from this article or parts of it. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by-nc-nd/4.0/.
Reprints and permissions
About this article
Cite this article
Shirazi, S.H.M., Razzaghi, F. & Sepaskhah, A.R. Estimation of onion crop evapotranspiration and crop coefficients using weighing lysimeters and machine learning models in semi-arid region.
Sci Rep (2026). https://doi.org/10.1038/s41598-026-43887-w
Received:
Accepted:
Published:
DOI: https://doi.org/10.1038/s41598-026-43887-w
Keywords
- Random Forest
- Decision Tree
- Crop coefficient
- Semi-arid agriculture
- Irrigation optimization
Source: Ecology - nature.com
