Wu Wenxin, Jia Zhijun, Dong Yiping. Simulating evapotranspiration of rain-fed soybean field based on P-T model. J Appl Meteor Sci, 2015, 26(2): 221-230. DOI:  10.11898/1001-7313.20150210.
Citation: Wu Wenxin, Jia Zhijun, Dong Yiping. Simulating evapotranspiration of rain-fed soybean field based on P-T model. J Appl Meteor Sci, 2015, 26(2): 221-230. DOI:  10.11898/1001-7313.20150210.

Simulating Evapotranspiration of Rain-fed Soybean Field Based on P-T Model

DOI: 10.11898/1001-7313.20150210
  • Received Date: 2014-08-13
  • Rev Recd Date: 2015-01-09
  • Publish Date: 2015-03-31
  • Based on eddy covariance measurements and microclimate observations available from 2005 to 2007, the simulating accuracy of evapotranspiration with P-T model of rain-fed soybean field from May to October in Sanjiang Plain is analyzed. Results indicate that simulated values of evapotranspiration by P-T model with conventional parameter (1.26) are significantly higher than observations before emergence and during the growing season of soybean, and the mean bias error (MBE) are 1.65 mm·d-1 and 1.22 mm·d-1. However, simulated values are significantly lower than measurements after harvest, with the MBE of-0.74 mm·d-1. Modeling efficiency (ME) of P-T model are all negative values, which indicates that the model cannot be used in predicting evapotranspiration of soybean field during different periods. The cause may have much to do with the parameter, which is assumed as constant value of 1.26. According to measurements of evapotranspiration, the parameter is derived and shows obviously increasing trend during the whole observation periods. Average values of parameter before emergence, during the growing season, and after harvest are 0.76, 0.86 and 2.20, respectively. It is obvious that the parameter varies according to the growing phase, and it is necessary to modify the parameter based on the measured evapotranspiration of rain-fed soybean field in Sanjiang Plain.Statistical analysis shows that leaf area index (LAI) is an important factor affecting evapotranspiration of soybean field. During the growing season, the parameter is creased with increasing LAI, following a logarithmic equation and a positive correlation. Vapor pressure deficit (VPD) is the direct driving force of transporting vapor from the surface to the surrounding atmosphere. The relationship between and VPD can be described empirically by a piecewise function: When the VPD is greater than 5.05 hPa, it's a positive power function, but when the VPD is lower than 5.05, it's a negative power function. The parameter is positively related to solar radiation and negatively related to VPD before soybean emergency and is positively related to wind speed after soybean harvest.With parameter modified by using linear or non-linear regression equation, the estimation accuracy of P-T model under different periods are improved markedly. Before soybean emergency, MBE and root mean square error (RMSE) are 0.06 mm·d-1 and 0.60 mm·d-1, reduced by 96.4% and 71.4%, respectively. ME is improved from a negative to a positive value (0.57), close to the ideal value of 1. During the growing season, MBE and RMSE are 0.15 mm·d-1 and 0.92 mm·d-1, reduced by 87.7% and 38.3%, respectively, and ME from a negative to a positive value (0.28). After soybean harvest, MBE and RMSE are-0.21 mm·d-1 and 0.41 mm·d-1, reduced by 71.6% and 52.3%, respectively, ME turns from a negative into a positive value (0.42). It indicates that the modified P-T model can simulate the evapotranspiration of soybean field. In conclusion, P-T model is suitable to simulate the evapotranspiration only when the parameter is modified.
  • Fig. 1  Comparison of observed evapotranspirations and those simulated by P-T model based on conventional values of α during different period

    (a) before emergence, (b) growing season, (c) after harvest

    Fig. 2  Variation characteristics parameter α of P-T model over soybean field during different period

    (a) before emergence, (b) growing season, (c) after harvest

    Fig. 3  Effects of LAI (a) and D(b) on parameter α of P-T model during growing season of soybean

    Fig. 4  Effects of D on parameter α of P-T model under different conditions

    (a)D < 5.05 hPa, (b)D > 5.05 hPa

    Fig. 5  Comparison of observed evapotranspirations and those simulated by P-T model based on modified α value during different periods

    (a) before emergence, (b) growing season, (c) after harvest

    Table  1  Developmental stages of soybean

    发育阶段 开始日期
    2005年 2006年 2007年
    播种前 05-08 05-01 05-04
    播种期 05-25 05-17 05-20
    出苗期 06-07 05-26 06-10
    开花期 07-03 07-05 07-12
    结荚期 07-28 08-10 07-30
    鼓粒期 08-17 08-25 08-10
    成熟期 09-12 09-15 09-25
    收割期 09-28 10-04 10-05
    收割后 10-23 10-23 10-23
      注:播种前日期为涡度相关系统观测开始日期,收割后日期为涡度相关系统观测结束日期。
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    Table  2  Non-linear statistical models of parameter α of P-T during soybean growing season

    条件 参数a(±标准差) 参数b(±标准差) 参数c(±标准差) R2 样本量
    D < 5.05 hPa 0.083(±0.087) 0.195 (±0.105) 1.294 (±0.376) 0.786 80
    D > 5.05 hPa 0.108 (±0.128) 5.246 (±6.102) -0.953 (±0.596) 0.679 150
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    Table  3  Statistical models of parameter α of P-T model before soybean emergence and after soybean harvest

    发育阶段 常数项及回归因子 回归系数 (±标准差) 标准回归系数 R2
    出苗前 C0 0.965*(±0.137) 0.391
    Ra 0.028*(±0.008) 0.450
    D -0.100*(±0.016) -0.786
    收割后 C0 0.278 (±0.494) 0.392
    Ws 0.550*(±0.134) 0.626
      注:*表示达到0.001显著性水平。
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    • Received : 2014-08-13
    • Accepted : 2015-01-09
    • Published : 2015-03-31

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