Application of different calibration methods for the Hargreaves-Samani model in Southeast Brazil
DOI:
https://doi.org/10.33448/rsd-v9i8.4811Keywords:
Water balance; Potential evapotranspiration; Penman-Monteith; Agrometeorology.Abstract
The evapotranspiration is an important variable in the hydrological cycle and one of the main components of water balance in the soil. The use of simplified equations is a potential alternative to estimate reference evapotranspiration (ET0) when there is limited meteorological data. The objective of this study was to test different methods to estimate ET0 using the Hargreaves-Samani equation (HS) under different meteorological conditions. ET0 was calibrated with HS, adjusting the HS coefficient (HC), using different methods. Adjustment by linear regression was also performed. ET0 was also estimated using the original HS and Penman-Monteith FAO-56 methods with limited climatic data (PML). The performance of the methods (mean absolute error, mm day-1) to estimate evapotranspiration, based on Penman-Monteith, were: PML (1.46); HS (0.68); Vanderlinden et al. (2004) (0.81); Martí et al. (2015) (0.77); and linear regression (0.53). The PML method presented the worst performance. Adjustment by linear regression presented a better performance than the adjustments of HC, improving the ET0 estimates by up to 30%, and it is considered the most recommendable of the methods tested.
References
Alencar, L. P., Sediyama, G. C., & Mantovani, E. C. (2015). Estimativa da evapotranspiração de referência (ETo padrão FAO), para Minas Gerais, na ausência de alguns dados climáticos. Engenharia Agrícola, 35(1), 39–50. https://doi.org/10.1590/1809-4430-Eng.Agríc.v35n1p39-50/2015
Allen, R. G., Pereira, L. S., Raes, D., & Smith, M. (1998). Crop Evapotranspiration: guidelines for computing crop water requirements (FAO - Irrigation and Drainage Paper 56). Roma: FAO.
Alvares, C. A., Stape, J. L., Sentelhas, P. C., Gonçalves, J. L. de M., & Sparovek, G. (2013). Köppen’s climate classification map for Brazil. Meteorologische Zeitschrift, 22(6), 711–728. https://doi.org/10.1127/0941-2948/2013/0507
Berti, A., Tardivo, G., Chiaudani, A., Rech, F., & Borin, M. (2014). Assessing reference evapotranspiration by the Hargreaves method in north-eastern Italy. Agricultural Water Management, 140, 20–25. https://doi.org/10.1016/j.agwat.2014.03.015
Bezerra, J. M., Moura, G. B. D. A., Silva, E. F. F. E., Lopes, P. M. O., & Silva, B. B. Da. (2014). Estimativa da evapotranspiração de referência diária para Mossoró (RN, Brasil). Revista Caatinga, 27(3), 211–220.
Carvalho, D. F. de, Rocha, H. S. da, Bonomo, R., & Souza, A. P. de. (2015). Estimativa da evapotranspiração de referência a partir de dados meteorológicos limitados. Pesquisa Agropecuária Brasileira, 50(1), 1–11. https://doi.org/10.1590/S0100-204X2015000100001
Droogers, P., & Allen, R. G. (2002). Estimating reference evapotranspiration under inaccurate data conditions. Irrigation and Drainage Systems, 16(1), 33–45. https://doi.org/10.1023/A:1015508322413
Falamarzi, Y., Palizdan, N., Huang, Y. F., & Lee, T. S. (2014). Estimating evapotranspiration from temperature and wind speed data using artificial and wavelet neural networks (WNNs). Agricultural Water Management, 140, 26–36. https://doi.org/10.1016/j.agwat.2014.03.014
Fanaya Júnior, E. D., Lopes, A. da S., Oliveira, G. Q. de, & Jung, L. H. (2012). Métodos empíricos para estimativa da evapotranspiração de referência para Aquidauana, MS. Irriga, 17(4), 418–434.
Fernandes, D. S., Heinemann, A. B., Paz, R. L. F., & Amorim, A. de O. (2012). Calibração regional e local da equação de Hargreaves para estimativa da evapotranspiração de referência. Revista Ciência Agronômica, 43(2), 246–255. https://doi.org/10.1590/S1806-66902012000200006
Gavilán, P., Lorite, I. J., Tornero, S., & Berengena, J. (2006). Regional calibration of Hargreaves equation for estimating reference et in a semiarid environment. Agricultural Water Management, 81(3), 257–281. https://doi.org/10.1016/j.agwat.2005.05.001
Gocic, M., & Trajkovic, S. (2010). Software for estimating reference evapotranspiration using limited weather data. Computers and Electronics in Agriculture, 71(2), 158–162. https://doi.org/10.1016/j.compag.2010.01.003
Hargreaves, G. H., & Samani, Z. A. (1985). Reference crop evapotranspiration from temperature. Applied Engineering in Agriculture, 1(2), 96–99. https://doi.org/10.13031/2013.26773
Jabloun, M., & Sahli, A. (2008). Evaluation of FAO-56 methodology for estimating reference evapotranspiration using limited climatic data Application to Tunisia. Agricultural Water Management, 95(6), 707–715. https://doi.org/10.1016/j.agwat.2008.01.009
Kisi, O. (2014). Comparison of different empirical methods for estimating daily reference evapotranspiration in mediterranean climate. Journal of Irrigation and Drainage Engineering, 140(1), 04013002. https://doi.org/10.1061/(ASCE)IR.1943-4774.0000664
Lee, K. H. (2010). Relative comparison of the local recalibration of the temperature-based evapotranspiration equation for the Korea Peninsula. Journal of Irrigation and Drainage Engineering, 136(9), 585–594. https://doi.org/10.1061/(ASCE)IR.1943-4774.0000221
Maestre-Valero, J. F., Martínez-Álvarez, V., & González-Real, M. M. (2013). Regionalization of the Hargreaves coefficient to estimate long-term reference evapotranspiration series in SE Spain. Spanish Journal of Agricultural Research, 11(4), 1137–1152.
Martí, P., Manzano, J., & Royuela, Á. (2011). Assessment of a 4-input artificial neural network for ETo estimation through data set scanning procedures. Irrigation Science, 29(3), 181–195. https://doi.org/10.1007/s00271-010-0224-6
Martí, P., Zarzo, M., Vanderlinden, K., & Girona, J. (2015). Parametric expressions for the adjusted Hargreaves coefficient in Eastern Spain. Journal of Hydrology, 529, 1713–1724. https://doi.org/10.1016/j.jhydrol.2015.07.054
Martínez-Cob, A., & Tejero-Juste, M. (2004). A wind-based qualitative calibration of the Hargreaves ET0 estimation equation in semiarid regions. Agricultural Water Management, 3(64), 251–264. https://doi.org/10.1103/PhysRevA.68.012324
Martinez, C. J., & Thepadia, M. (2010). Estimating reference evapotranspiration with minimum data in Florida. Journal of Irrigation and Drainage Engineering, 136(7), 494–501. https://doi.org/10.1061/(ASCE)IR.1943-4774.0000214
Mendicino, G., & Senatore, A. (2013). Regionalization of the Hargreaves coefficient for the assessment of distributed reference evapotranspiration in Southern Italy. Journal of Irrigation and Drainage Engineering, 139(5), 349–362. https://doi.org/10.1061/(ASCE)IR.1943-4774.0000547
Pereira, L. S., Allen, R. G., Smith, M., & Raes, D. (2015). Crop evapotranspiration estimation with FAO56: Past and future. Agricultural Water Management, 147, 4–20. https://doi.org/10.1016/j.agwat.2014.07.031
Pereira, A. S., Shitsuka, D. M., Parreira, F. J., Shitsuka, R. (2018). Methodology of cientific research. [e-Book]. Santa Maria City. UAB / NTE / UFSM Editors. Accessed on: June, 25, 2020. Available at: https://repositorio.ufsm.br/bitstream/handle/1/15824/Lic_Computacao_Metodologia-Pesquisa-Cientifica.pdf?sequence=1.
Popova, Z., Kercheva, M., & Pereira, L. S. (2006). Validation of the FAO methodology for computing ETo with limited data. Application to south Bulgaria. Irrigation and Drainage, 55(2), 201–215. https://doi.org/10.1002/ird.228
Ravazzani, G., Corbari, C., Morella, S., Gianoli, P., & Mancini, M. (2012). Modified Hargreaves-Samani equation for the assessment of reference evapotranspiration in Alpine River Basins. Journal of Irrigation and Drainage Engineering, 138(7), 592–599. https://doi.org/10.1061/(ASCE)IR.1943-4774.0000453
Raziei, T., & Pereira, L. S. (2013). Estimation of ETo with Hargreaves–Samani and FAO-PM temperature methods for a wide range of climates in Iran. Agricultural Water Management, 121, 1–18. https://doi.org/10.1016/j.agwat.2012.12.019
Reis, E. F. dos, Bragança, R., Garcia, G. de O., Pezzopane, J. E. M., & Tagliaferre, C. (2007). Estudo comparativo da estimativa da evapotranspiração de referência para três localidades do estado do Espírito Santo no período seco. IDESIA, 25(3), 75–84.
Sentelhas, P. C., Gillespie, T. J., & Santos, E. A. (2010). Evaluation of FAO Penman-Monteith and alternative methods for estimating reference evapotranspiration with missing data in Southern Ontario, Canada. Agricultural Water Management, 97(5), 635–644. https://doi.org/10.1016/j.agwat.2009.12.001
Shahidian, S., Serralheiro, R. P., Serrano, J., & Teixeira, J. L. (2013). Parametric calibration of the Hargreaves-Samani equation for use at new locations. Hydrological Processes. https://doi.org/10.1002/hyp.9277
Shiri, J., Nazemi, A. H., Sadraddini, A. A., Landeras, G., Kisi, O., Fakheri Fard, A., & Marti, P. (2014). Comparison of heuristic and empirical approaches for estimating reference evapotranspiration from limited inputs in Iran. Computers and Electronics in Agriculture, 108, 230–241. https://doi.org/10.1016/j.compag.2014.08.007
Shiri, J., Sadraddini, A. A., Nazemi, A. H., Marti, P., Fakheri Fard, A., Kisi, O., & Landeras, G. (2015). Independent testing for assessing the calibration of the Hargreaves–Samani equation: New heuristic alternatives for Iran. Computers and Electronics in Agriculture, 117, 70–80. https://doi.org/10.1016/j.compag.2015.07.010
Tagliaferre, C., Silva, R. A. de J., Rocha, F. A., Santos, L. da C., & Silva, C. dos S. da. (2010). Estudo comparativo de diferentes metodologias para determinação da evapotranspiração de referência em Eunápolis- BA. Revista Caatinga, 23(1), 103–111.
Thepadia, M., & Martinez, C. J. (2012). Regional calibration of solar radiation and reference evapotranspiration estimates with minimal data in Florida. Journal of Irrigation and Drainage Engineering, 138(2), 111–119. https://doi.org/10.1061/(ASCE)IR.1943-4774.0000394
Thornthwaite, C. W. (1948). An approach toward a rational classification of climate. Geographical Review, 38(1), 55–94.
Todorovic, M., Karic, B., & Pereira, L. S. (2013). Reference evapotranspiration estimate with limited weather data across a range of Mediterranean climates. Journal of Hydrology, 481, 166–176. https://doi.org/10.1016/j.jhydrol.2012.12.034
Trajkovic, S. (2007). Hargreaves versus Penman-Monteith under humid conditions. Journal of Irrigation and Drainage Engineering, 133(1), 38–42. https://doi.org/10.1061/(ASCE)0733-9437(2007)133:1(38)
Vanderlinden, K., Giráldez, J. V., & Van Meirvenne, M. (2004). Assessing reference evapotranspiration by the Hargreaves method in Southern Spain. Journal of Irrigation and Drainage Engineering, 130(3), 184–191. https://doi.org/10.1061/(ASCE)0733-9437(2004)130:3(184)
Willmott, C. (1982). Some comments on the evaluation of model performance. Bulletin of the American Meteorological Society. https://doi.org/10.1175/1520-0477(1982)063<1309:SCOTEO>2.0.CO;2
WWAP-UNESCO. 2015. The United Nations World Water Development Report 2015: Water for a Sustainable World. Paris: UNESCO.
Xavier, A. C., King, C. W., & Scanlon, B. R. (2015). Daily gridded meteorological variables in Brazil (1980-2013). International Journal of Climatology, 36(6), 2644–2659. https://doi.org/10.1002/joc.4518
Xu, C. Y., & Singh, V. P. (2002). Cross comparison of empirical equations for calculating potential evapotranspiration with data from Switzerland. Water Resources Management, 16(3), 197–219. https://doi.org/10.1023/A:1020282515975
Zanetti, S. S., Dohler, R. E., Cecílio, R. A., Pezzopane, J. E. M., & Xavier, A. C. (2019). Proposal for the use of daily thermal amplitude for the calibration of the Hargreaves-Samani equation. Journal of Hydrology, 571, 193–201. https://doi.org/10.1016/j.jhydrol.2019.01.049
Zanetti, S. S., Sousa, E. F., Oliveira, V. P. S., Almeida, F. T., & Bernardo, S. (2007). Estimating evapotranspiration using artificial neural network and minimum climatological data. Journal of Irrigation and Drainage Engineering, 133(2), 83–89. https://doi.org/10.1061/(ASCE)0733-9437(2007)133:2(83)
Downloads
Published
How to Cite
Issue
Section
License
Authors who publish with this journal agree to the following terms:
1) Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
2) Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
3) Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work.
