顾世祥, 赵众, 陈晶, 陈金明, 张刘东. 基于高维Copula函数的逐日潜在蒸散量及气象干旱预测[J]. 农业工程学报, 2020, 36(9): 143-151. DOI: 10.11975/j.issn.1002-6819.2020.09.016
    引用本文: 顾世祥, 赵众, 陈晶, 陈金明, 张刘东. 基于高维Copula函数的逐日潜在蒸散量及气象干旱预测[J]. 农业工程学报, 2020, 36(9): 143-151. DOI: 10.11975/j.issn.1002-6819.2020.09.016
    Gu Shixiang, Zhao Zhong, Chen Jing, Chen Jinming, Zhang Liudong. Daily reference evapotranspiration and meteorological drought forecast using high-dimensional Copula joint distribution model[J]. Transactions of the Chinese Society of Agricultural Engineering (Transactions of the CSAE), 2020, 36(9): 143-151. DOI: 10.11975/j.issn.1002-6819.2020.09.016
    Citation: Gu Shixiang, Zhao Zhong, Chen Jing, Chen Jinming, Zhang Liudong. Daily reference evapotranspiration and meteorological drought forecast using high-dimensional Copula joint distribution model[J]. Transactions of the Chinese Society of Agricultural Engineering (Transactions of the CSAE), 2020, 36(9): 143-151. DOI: 10.11975/j.issn.1002-6819.2020.09.016

    基于高维Copula函数的逐日潜在蒸散量及气象干旱预测

    Daily reference evapotranspiration and meteorological drought forecast using high-dimensional Copula joint distribution model

    • 摘要: 尝试引入高维Copula函数对影响参考作物蒸散量ET0的气象因素进行联合分布构建,揭示不同变量间的相关结构,建立多元气象因素对ET0的联合分布模型,对逐日ET0及短期干旱等级进行预测,并将枯季1-4月份的多维Copula联合分布预测模型的系统性偏差构造成修正函数,代回ET0预报模型以改善预报效果,利用洱海流域内大理站1954-2018年逐日气象观测数据,以FAO Penman-Monteith方程为标准值对比分析。结果表明:1)平均气温(T)和最高气温(Tmax)2个气象因子组合时,二维Normal Copula模型对逐日ET0预测的精度最高,叠加上修正函数项之后,相对误差小于10%、15%、20%、25%的样本比例分别提高到71.6%、84.4%、91.4%、96.5%,全年符合指数IA变化范围为0.98~0.99,平均偏差ME为0.17~0.30,均方根误差RMSE为0.54~0.64,Nash-Sutcliffe效率系数为0.90~0.98;2)将逐日ET0预测方法应用于逐日气象干旱预测评估(以逐日SPEI指数为例),逐日SPEI指数预测值与标准值的相关系数为0.95~0.99,平均偏差ME为-0.10~0.35,均方根误差RMSE为0.20~0.30,符合指数IA为0.97~0.98,Nash-Sutcliffe效率系数NSE为0.91~0.97,在降水量多的季节,Copula函数模型预测ET0的精度更高一些,且逐日SPEI预测的误差参数都优于逐日ET0的预测结果。

       

      Abstract: Abstract: A high-dimensional copula function was introduced to construct the joint distribution of meteorological factors that affected by reference evapotranspiration (ET0). Specifically, an attempt was made to reveal the correlation structure between different variables in copula function, thereby to establish the joint distribution model of multiple meteorological factors on daily ET0 prediction, and finally to analyze short-term drought level. Daily observation data were collected from Dali meteorological station in Erhai watershed from 1954 to 2018. FAO Penman Monteith equation was used to calculate the standard ET0 value for the assessment of forecast precision. T-Tmax two-dimensional normal copula function model was used to predict daily ET0 after screening a variety of meteorological factor datasets. The systematic error appeared between January to April was necessary to be corrected, otherwise it can make the predicted value relatively smaller than the standard ET0. The empirical correction function with error curve was used for the daily ET0 forecast model, to improve the prediction accuracy, thereby to realize the real-time prediction in irrigated region. The results show that: 1) When combining two meteorological factors of T-Tmax, the two-dimensional normal copula model can achieve the highest prediction accuracy for daily ET0, 71.6%, 84.4%, 91.4% and 96.5%, under the relative errors less than 10%, 15%, 20% and 25%, respectively. The annual compliance index IA range was 0.98- 0.99, the average deviation, ME, was 0.17-0.30, the root of mean square error, RMSE, was 0.54-0.64, and the Nash Sutcliffe efficiency coefficient was 0.90-0.98. 2) The daily ET0 prediction method was applied to the prediction and evaluation of daily meteorological drought, taking the daily SPEI index as an example. The correlation coefficient between the prediction value of daily SPEI index and the actual value was 0.95- 0.99, ME was -0.10-0.35, RMSE was 0.20-0.30, IA was 0.97-0.98, NSE was 0.91-0.97, respectively. In the season with more precipitation, the accuracy of Copula function model was higher, and the error parameters of daily SPEI prediction were better, than that of daily ET0 prediction. 3) From the extremely wet year to the extremely dry year, the proportion of humid and light drought days decreased from 81.3% to 46.0%, the proportion of medium drought days increased from 10.7% to 27.9%, and the proportion of heavy drought and extreme drought days increased from 8.2% to 26.2%. In the five typical years of annual precipitation frequency, P= 5%, 25%, 50%, 75% and 95%, the relative deviation of heavy and extremely drought frequency was 1.5% between the predicted ET0 and actual ET0, while reached 1.2% after corrected daily ET0 prediction and actual ET0, to evaluate the daily meteorological drought level. 4) The results also revealed that the frequency of non-drought and light drought was 36.51%, the frequency of moderate drought was 30.37%, the frequency of severe drought and extreme drought was 33.11%, and the prediction deviation was 1.1% from January to June, whereas from July to December, the frequency of humid and light drought was 89.73%, the frequency of moderate drought was 9.07%, the frequency of severe drought and extreme drought was 1.2%, the prediction deviation was 1%, indicating the significant characteristics of seasonal drought.

       

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