Thornthwaite and mather soil water balance model adapted for estimation of real evapotranspiration of the pasture
DOI:
https://doi.org/10.13083/reveng.v29i1.11703Keywords:
Bowen ratio, Agrometeorological Modeling, Single Crop Coefficient., Bowen ratioAbstract
Knowing the real pastures demand is essential for a more rational use of irrigation. The present work deals with the performance of the Thornthwaite and Mather water balance method (ThM) adapted to estimate the daily actual evapotranspiration (ETa) of a pasture in relation to the Bowen ratio - energy balance method (BREB). The experiment was carried out from July 2018 to June 2019 in Cachoeiras de Macacu, RJ (22º 27 'S; 42º 45' W and 30 m altitude). Micrometeorological and meteorological measurements were conducted in a micrometeorological mast installed in the pasture and also in an automatic weather station. The ThM model was evaluated by simple linear regression between ETa BERB and the estimates from ThM, by its determination coefficient (r²) and the modified Willmott agreement index (dm). The ThM model underestimated (between 11 and 16%) ETa for all seasons, with the exception of spring, which overestimated 1%. The highest precision and accuracy of the estimates were observed in autumn (r² = 0.84 and dm = 0.68) and spring (r² = 0.83 and dm = 0.82). In summer (r² = 0.56 and dm = 0.73) and winter (r² = 0.43 and dm = 0.66), the lower performance was due to the model inability to represent water extraction from the soil in absence periods of rainfall.
Downloads
References
AGUIAR, D. A.; MELLO, M. P.; NOGUEIRA, S. F.; GONÇALVES, F. G.; ADAMI, M.; RUDORFF, B. F. T. MODIS time series to detect anthropogenic interventions and degradation processes in tropical pasture. Remote Sensing, v. 9, n. 1, p. 1–20, 2017.
ALENCAR, L. P.; SEDIYAMA, G. C.; MANTOVANI, E. C. Estimativa da evapotranspiração de referência (ETo padrão FAO), para Minas Gerais, na ausência de alguns dados climáticos. Engenharia Agrícola, v. 35, n. 1, p. 39–50, 2015.
ALVARES, C. A.; STAPE, J. L.; SENTELHAS, P. C.; DE MORAES GONÇALVES, J. L.; SPAROVEK, G. Köppen’s climate classification map for Brazil. Meteorologische Zeitschrift, [s. l.], v. 22, n. 6, p. 711–728, 2013.
ANTONIEL, L. S.; PRADO, G.; TINOS, A. C.; BELTRAME, G. A.; ALMEIDA, J. V. C. De; CUCO, G. P. Pasture production under different irrigation depths. Revista Brasileira de Engenharia Agrícola e Ambiental, [s. l.], v. 20, n. 6, p. 539–544, 2016.
BARBOSA, B. D. S.; OLIVEIRA, F. G.; DE FIGUEIREDO, F. P. Determinação do coeficiente de cultivo (Kc) do capim tanzânia irrigado no norte de minas gerais. Irriga, v. 1, n. 2, p. 11–20, 2015.
BOSI, C.; SENTELHAS, P. C.; HUTH, N. I.; PEZZOPANE, J. R. M.; ANDREUCCI, M. P.; SANTOS, P. M. APSIM-Tropical Pasture: A model for simulating perennial tropical grass growth and its parameterisation for palisade grass (Brachiaria brizantha). Agricultural Systems, v. 184, n. March, p. 102917, 2020.
BOWEN, I. S. The ratio of heat losses by conduction and by evaporation form any water surface. Hydrology and Earth System Sciences, v. 27, n. 2, p. 779–787, 1926.
BUENO, J. I.; DO PRADO, G.; TINOS, A. C.; BRUSCAGIN, R. R.; VOLPATO, G. R. Produção sazonal de duas espécies forrageiras irrigadas. Irriga, v. 24, n. 2, p. 289–302, 2019.
CRUZ, G. H. T.; SANTOS, L. da C.; SILVA, S. M. da C.; REIS, E. F. Dos. Desempenho de métodos de estimativa da evapotranspiração de referência para o município de Rio Verde-GO. Revista Brasileira de Agricultura Irrigada, v. 11, n. 6, p. 1854–1861, 2017.
FAO. The future of food and agriculture – Alternative pathways to 2050. Summary Ve ed. Rome.
FURTADO, T. F. Comparação de modelos para estimativa do conteúdo de água no solo em cultivo de milho do município de Arapiraca, AL. 2017. 64f. Dissertação de Mestrado, Universidade Federal Fluminense, Rio de Janeiro, 2017.
GOMES, C. de A.; LIMA, J. R. de S.; ANTONINO, A. C. D.; SOARES, W. de A.; SOUZA, E. S. De; RIBEIRO, A. A.; ALVES, E. M.; MACHADO, C. B.; FIRMINO, F. H. T. Medição e simulação dos fluxos de energia e evapotranspiração em solo cultivado com brachiaria decumbens na microrregião de Garanhuns-PE. Revista Brasileira de Geografia Física, v. 06, p. 365–376, 2015. a.
GOMES, E. P.; RICKLI, M. E.; CECATO, U.; VIEIRA, C. V; SAPIA, J. G.; SANCHES, A. C. Produtividade de capim tifton 85 sob irrigação e doses de nitrogênio. Revista Brasileira de Engenharia Agrícola e Ambiental, p. 317–323, 2015. b.
GRAHAM, S. L.; KOCHENDORFER, J.; MCMILLAN, A. M. S.; DUNCAN, M. J.; SRINIVASAN, M. S.; HERTZOG, G. Effects of agricultural management on measurements, prediction, and partitioning of evapotranspiration in irrigated grasslands. Agricultural Water Management, v. 177, p. 340–347, 2016.
LYRA, G. B.; LYRA, G. B.; SOUZA, J. L. De; SANTOS, M. A. Balanço Seqüencial de Água no Solo para o Manejo da Irrigação de Baixa Freqüência e Alta Intensidade na Cana-de-Açúcar. STAB v. 28, n. May 2014, p. 22–25, 2010.
LYRA, G. B.; PEREIRA, A. R. Dificuldades de estimativa dos parâmetros de rugosidade aerodinâmica pelo perfil logarítmico do vento sobre vegetação esparsa em região semi-árida. Revista Brasileira de Geofísica, v. 25, n. 2, p. 187–197, 2007.
MONTEITH, J. L.; UNSWORTH, M. H. Principles of environmental physics, 2nd Edition. Edward Arnold, London, 1990.
O’REILLY, A. M.; HOLT, R. M.; DAVIDSON, G. R.; PATTON, A. C.; RIGBY, J. R. A Dynamic Water Balance/Nonlinear Reservoir Model of a Perched Phreatic Aquifer–River System With Hydrogeologic Threshold Effects. Water Resources Research, v. 56, n. 6, p. 0–3, 2020.
PEREIRA, A. R.; SEDIYAMA, G. C.; NOVA, N. A. V. Evapotranspiração. 1 ed. Campinas, SP, Fundag, 2013.
PEREZ, P. J. et al. Assessment of reliability of Bowen ratio method for partitioning fluxes. Agricultural and Forest Meteorology, v. 97, n. 3, p. 141-150, 1999.
RETORE, M.; JUNIOR, F. M. de V.; BRITEZ, G. D. V.; ROSSATTI, J. A.; RICHETTI, A. Do pasto ao prato: a alimentação do cordeiro influencia na qualidade da carne? Embrapa, n. 1679–472, p. 1–7, 2019. 1679–472.
SANCHES, A. C.; PANTOJO DE SOUZA, D.; LAMEDE DE FERREIRA JESUS, F.; CAMPOS MENDONÇA, F.; GUERTAS MAFFEI, R. Consumo de água de forrageiras tropicais no período de formação de pastagem. Revista Brasileira de Agricultura Irrigada, v. 11, n. 2, p. 1291–1301, 2017. a.
SANCHES, A. C.; SOUZA, D. P.; JESUS, F. L. F.; MENDONÇA, F. C.; GOMES, E. P. Water consumption estimate for mombaça and cynodon spp. grasses in exclusive cropping and overseeded with winter forage. January, 2017. b.
SANTANA, M. J. De; WACHSMUTH, R.; SGOBI, M. A.; ALMEIDA, F. da S. Evapotranspiração e coeficiente de cultura do tifton-85 em Uberaba, MG. Global Science and Technology, v. 9, n. 1984–3801, p. 39–50, 2016.
SANTOS, C. S. Dos; MONTENEGRO, A. A. d. A.; DOS SANTOS, M. A. L.; PEDROSA, E. M. R. Evapotranspiration and crop coefficients of Moringa oleifera under semi-arid conditions in Pernambuco. Revista Brasileira de Engenharia Agricola e Ambiental, [s. l.], v. 21, n. 12, p. 840–845, 2017.
SILVA, L. D. B. Da; LYRA, G. B.; SILVA, J. B. G.; PINHO, C. F. De; NASCENTES, A. L.; ALMEIDA, G. V. De; FOLEGATTI, M. V. Desempenho do método do balanço de energia - razão de Bowen na estimativa da evapotranspiração de referência. Irriga, v. 21, n. 3, p. 516, 2018.
WALLS, S.; BINNS, A. D.; LEVISON, J.; MACRITCHIE, S. Prediction of actual evapotranspiration by artificial neural network models using data from a Bowen ratio energy balance station. Neural Computing and Applications, v. 32, n. 17, p. 14001–14018, 2020.
WILLMOTT, C. J.; ROBESON, S. M.; MATSUURA, K. A refined index of model performance. International Journal of Climatology, v. 32, n. 13, p. 2088–2094, 2012.
ZHUANG, W.; SHI, H.; MA, X.; CLEVERLY, J.; BERINGER, J.; ZHANG, Y.; HE, J.; EAMUS, D.; YU, Q. Improving Estimation of Seasonal Evapotranspiration in Australian Tropical Savannas using a Flexible Drought Index. Agricultural and Forest Meteorology, v. 295, n. February, p. 108-203, 2020.
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2021 Revista Engenharia na Agricultura - Reveng
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
Authors who publish with this journal agree to the following terms:
The author(s) authorize(s) the publication of the text in the journal;
The author(s) ensure(s) that the contribution is original and unpublished and that it is not in the process of evaluation by another journal;
The journal is not responsible for the views, ideas and concepts presented in articles, and these are the sole responsibility of the author(s);
The publishers reserve the right to make textual adjustments and adapt texts to meet with publication standards.
From submission, the author is fully conceding the paper's patrimonial rights to the publication, but retaining the owner of its moral rights (authorship and paper's identification) according to Creative Commons Attribution-Noncommercial.