Predictive modeling of reference evapotranspiration under shade net conditions using genetic programming
DOI:
https://doi.org/10.19136/era.a13n1.4729Keywords:
Evolutionary computing, predictive models, protected agricultureAbstract
Reference evapotranspiration (ETo) is a key parameter for efficient irrigation management, especially in protected agriculture systems located in arid and semi-arid climates. This study aimed to develop a predictive ETo model within a shade net greenhouse using evolutionary computing techniques, specifically genetic programming (GP). For model development, climatic data were collected at one-minute intervals, allowing for high-resolution capture of the specific microclimatic conditions within the protected environment. The model was trained using ETo values calculated with the FAO-recommended Penman–Monteith method (FAO56-PM), considered the international standard for reference evapotranspiration estimation. The resulting model exhibited outstanding performance, achieving a root mean square error (RMSE) of 0.217 and a coefficient of determination (R2) of 0.99, indicating high predictive accuracy. When compared to widely used empirical models such as Hargreaves–Samani (RMSE = 4.82, R2 = –0.98) and Priestley–Taylor (RMSE = 1.00, R2 = 0.913), the proposed model significantly outperformed both traditional approaches. These results highlight the potential of genetic programming as an effective tool for developing robust predictive models tailored to specific conditions, such as those found in protected agricultural systems under arid and semi-arid climates.
Downloads
References
Acharki S, Raza A, Vishwakarma DK, Amharref M, Bernoussi AS, Singh SK, Al-Ansari N, Dewidar AZ, Al-Othman AA, Mattar MA (2025) Comparative assessment of empirical and hybrid machine learning models for estimating daily reference evapotranspiration in sub-humid and semi-arid climates. Scientific Reports 15(1): 2542. https://doi.org/10.1038/s41598-024-83859-6
Ajani OS, Aboyeji E, Mallipeddi R, Dooyum-Uyeh D, Ha Y, Park T (2023) A genetic programming-based optimal sensor placement for greenhouse monitoring and control. Frontiers in plant Science 14: 1152036. https://doi.org/10.3389/fpls.2023.1152036
Allen RG, Pereira LS, Raes D, Smith M (1998) Crop evapotranspiration-Guidelines for computing crop water requirements-FAO Irrigation and drainage paper 56. Fao, Rome. https://www.avwatermaster.org/filingdocs/195/70653/172618e_5xAGWAx8.pdf. Fecha de consulta 27 de enero de 2026.
Campi P, Gaeta L, Mastrorilli M, Losciale P (2020) Innovative soil management and micro-climate modulation for saving water in Peach Orchards. Frontiers in Plant Science 11: 1052. https://doi.org/10.3389/fpls.2020.01052
Celestin S, Qi F, Li R, Yu T, Cheng W (2020) Evaluation of 32 simple equations against the Penman–Monteith method to estimate the reference evapotranspiration in the hexi corridor, Northwest China. Water 12(10): 2772. https://doi.org/10.3390/w12102772
Costa‐Filho E, Chávez JL, Zhang, H (2024) Assessing multi‐sensor hourly maize evapotranspiration estimation using a one‐source surface energy balance approach. Irrigation and Drainage 73(3): 988-1009. https://doi.org/10.1002/ird.2923
Doria M, García M, Mancilla G, Buytaert W (2021) Estrategias para el aumento de la disponibilidad y mejoramiento de la eficiencia hídrica en América Latina y El Caribe. https://unesdoc.unesco.org/ark:/48223/pf0000377174. Fecha de consulta: 27 de enro del 2026.
Flores-Mancheno CI, Palacios-López LA (2025) Tecnologías de riego inteligente y su contribución a la conservación del agua en agricultura. Multidisciplinary Collaborative Journal 3(1): 61-73. https://doi.org/10.70881/mcj/v3/n1/46
Garcia-Caparros P, Contreras JI, Baeza R, Segura ML, Lao MT (2017) Integral management of irrigation water in intensive horticultural systems of Almería. Sustainability 9(12): 2271. https://doi.org/10.3390/su9122271
Ghiat I, Mackey HR, Al-Ansari T (2021) A Review of evapotranspiration measurement models, techniques and methods for open and closed agricultural field applications. Water 13(18): 2523. https://doi.org/10.3390/w13182523
Gong X, Bo G, Liu H, Ge J, Li X, Gao S (2022) Performance of the improved Priestley-Taylor model for simulating evapotranspiration of greenhouse tomato at different growth stages. Plants 11(21): 2956. https://doi.org/10.3390/plants11212956
Li Z, Li Y, Yu X, Jia G, Chen P, Zheng P, Wang Y, Ding B (2024) Applicability and improvement of different potential evapotranspiration models in different climate zones of China. Ecological Processes 13: 20. https://doi.org/10.1186/s13717-024-00488-7
Kiraga S, Peters RT, Molaei B, Evett SR, Marek G (2024) Reference evapotranspiration estimation using genetic algorithm-optimized machine learning models and standardized Penman-Monteith equation in a highly advective environment. Water 16(1): 12. https://doi.org/10.3390/w16010012
Guyon I, Elisseeff A, Kaelbling LP (2003) An introduction to variable and feature selection. Journal of Machine Learning Research 3(7-8): 1157-1182. https://doi.org/10.1162/153244303322753616
Hargreaves GH, Samani ZA (1985) Reference crop evapotranspiration from temperature. Applied Engineering in Agriculture 1(2): 96-99. https://doi.org/10.13031/2013.26773
Heramb P, Singh PK, Rao KR, Subeesh A (2023) Modelling reference evapotranspiration using gene expression programming and artificial neural network at Pantnagar, India. Information Processing in Agriculture 10(4): 547-563. https://doi.org/10.1016/j.inpa.2022.05.007
Islam MN, Reza MN, Iqbal MZ, Lee KH, Jang MK, Chung SO (2025) Spatial and temporal variability of environmental variables in chinese solar greenhouses in the summer season. Horticulturae 11: 421. https://doi.org/10.3390/horticulturae11040421
Jaafar HH, Ahmad F (2019) Determining reference evapotranspiration in greenhouses from external climate. Journal of Irrigation and Drainage Engineering 145(9): 04019018. https://doi.org/10.1061/(ASCE)IR.1943-4774.000140
Koza JR (1994) Genetic programming as a means for programming computers by natural selection. Statistics and Computing 4: 87-112. https://doi.org/10.1007/BF00175355
Mansoor S, Iqbal S, Popescu SM, Kim SL, Chung YS, Baek JH (2025) Integration of smart sensors and IOT in precision agriculture: trends, challenges and future prospectives. Frontiers in Plant Science 16: 1587869. https://doi.org/10.3389/fpls.2025.1587869
Kabir MY, Nambeesan SU, Díaz-Pérez JC (2024) Shade nets improve vegetable performance. Scientia Horticulturae 334: 113326. https://doi.org/10.1016/j.scienta.2024.113326
Obayomi OV, Attah R, Sayem SMS, Mustapha LS, Kolade SO, Obayomi KS (2025) Sustainable agriculture in the face of water scarcity: Opportunities, challenges, and global perspectives. Next Research 101293. https://doi.org/10.1016/j.nexres.2025.101293
Priestley CHB, Taylor RJ (1972) On the assessment of surface heat flux and evaporation using large-scale parameters. Monthly Weather Review 100(2): 81-92. https://doi.org/10.1175/1520-0493(1972)100<0081:OTAOSH>2.3.CO;2
Raza A, Vishwakarma DK, Acharki S, Al-Ansari N, Alshehri F, Elbeltagi A (2024) Use of gene expression programming to predict reference evapotranspiration in different climatic conditions. Applied Water Science 14: 152. https://doi.org/10.1007/s13201-024-02200-8
Ruiz-Ortega FJ, Clemente E, Martínez-Rebollar A, Flores-Prieto JJ (2024) An evolutionary parsimonious approach to estimate daily reference evapotranspiration. Scientific Reports 14(1): 6736. https://doi.org/10.1038/s41598-024-56770-3
Ruiz-Ortega J, Martínez-Rebollar A, Flores-Prieto J, Estrada-Esquivel H (2022) Diseño de una arquitectura IoT de bajo costo para monitoreo de Invernaderos. Computación y Sistemas 26(1): 221-232. https://doi.org/10.13053/CyS-26-1-4166
Santos MSN, Castro IA, Oro CED, Zabot GL, Tres MV (2021) Reference crop evapotranspiration in distinct agricultural regions of Southern Brazil: a comparison of improved empirical models. Revista Engenharia Na Agricultura 29: 448-465. https://doi.org/10.13083/reveng.v29i1.12418
Sammen SS, Kisi O, Al-Janabi AMS, Elbeltagi A, Zounemat-Kermani M (2023) Estimation of reference evapotranspiration in semi-arid region with limited climatic inputs using metaheuristic regression methods. Water 15(19): 3449. https://doi.org/10.3390/w15193449
Soussi A, Zero E, Sacile R, Trinchero D, Fossa M (2024) Smart sensors and smart data for precision agriculture: A review. Sensors 24(8): 2647. https://doi.org/10.3390/s24082647
Taheri M, Bigdeli M, Imanian H, Mohammadian A (2025) An overview of evapotranspiration estimation models utilizing artificial intelligence. Water 17(9): 1384. https://doi.org/10.3390/w17091384
Willmott CJ, Robeson SM, Matsuura K (2012) A refined index of model performance. International Journal of climatology 32(13): 2088-2094. https://doi.org/10.1002/joc.2419
Downloads
Published
Issue
Section
License
Copyright (c) 2026 Ecosistemas y Recursos Agropecuarios

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
Aviso de copyright
Los autores que se envían a esta revista aceptan los siguientes términos:
una. Los autores conservan los derechos de autor y garantizan a la revista el derecho a ser la primera publicación del trabajo con una licencia de atribución de Creative Commons que permite a otros compartir el trabajo con un reconocimiento de la autoría del trabajo y la publicación inicial en esta revista.
B. Los autores pueden establecer acuerdos complementarios separados para la distribución no exclusiva de la versión del trabajo publicado en la revista (por ejemplo, en un repositorio institucional o publicarlo en un libro), con un reconocimiento de su publicación inicial en esta revista.
C. Se permite y se anima a los autores a difundir su trabajo electrónicamente (por ejemplo, en repositorios institucionales o en su propio sitio web) antes y durante el proceso de envío, ya que puede conducir a intercambios productivos, así como a una cita más temprana y más extensa del trabajo publicado. (Consulte El efecto del acceso abierto).