广义相加模型在乌江夏季径流预报中的应用
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P338

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“十三五”国家重点研发计划(2016YFA0601504);国家自然科学基金重点国际(地区)合作研究项目(51420105014)


Application of generalized additive model in summer runoff forecasting of Wujiang Basin
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    摘要:

    基于前期冬季海温指数,构建具有4个非线性指数和9个线性指数的广义相加模型(GAM),对乌江流域洪家渡夏季径流进行了模拟与预测,利用5种评估指标,包括最小信息准则(AIC)、均方根误差(RMSE)、平均绝对误差(MAE)、概率空间线性误差(LEPS)和线性相关(r),评估GAM和广义线性模型(GLM)模拟效果。结果表明:在AIC、RMSE和LEPS评估指标上,GAM的模拟效果与实测值相比均小于GLM,在线性相关系数上显著大于GLM。因此,GAM的模拟效果明显优于GLM。利用留一法交叉验证对洪家渡夏季径流分别进行了GAM和GLM预测,结果表明,GAM与实测数据的相关系数提高到0.41,相对误差小于30%的预测值达到60%以上,特别是在洪家渡典型洪水年中,GAM的预测误差仅在10%左右,在典型干旱年中,GAM的预测误差小于10%,GAM的预测结果比GLM明显改善。因此,考虑了径流量与预报因子的非线性关系,在径流预报中使用GAM进行建模,能够有效改善线性回归模型的模拟效果和预测精度。

    Abstract:

    Based on the sea surface temperature(SST)indices in previous winters, a Generalized additive model(GAM)model was constructed with four non-linear and nine linear indices, to simulate and forecast the summer runoff of Hongjiadu hydropower station on the Wujiang Basin. Five evaluation indices were used to evaluate the simulation results of GAM and Generalized linear model(GLM), including the Akaike information criterion(AIC), the root mean square error(RMSE), the mean absolute error(MAE), the linear error in probability space(LEPS)and the linear correlation r. The results showed that the ratios of simulated data to real data by GAM were smaller than those by GLM in AIC, RMSE and LEPS, while the linear correlation coefficient of GAM was obviously larger than that of GLM, thus GAM performed better than GLM. Leave-one-out Cross validation was used to forecast the summer runoff of Hongjiadu hydropower station with GAM and GLM, respectively. The forecast results indicated that the correlation coefficient between the GAM result and observed data was improved to 0. 41 and predicated data with relative error less than 30% was more than 60%. The prediction error of GAM was around 10% in the typical flood year of Hongjiadu and less than 10% in the typical dry year. It can be concluded that the prediction accuracy was improved in GAM compared with that in GLM. Consequently, considering the the non-linear relationship between runoff and prediction factors, the use of GAM in runoff forecasting can effectively improve the simulation result and prediction accuracy than the linear regression model.

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荣艳淑,胡玉恒,冯瑞瑞,等.广义相加模型在乌江夏季径流预报中的应用[J].河海大学学报(自然科学版),2021,49(2):121-126.(RONG Yanshu, HU Yuheng, FENG Ruirui, et al. Application of generalized additive model in summer runoff forecasting of Wujiang Basin[J]. Journal of Hohai University (Natural Sciences),2021,49(2):121-126.(in Chinese))

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  • 在线发布日期: 2021-04-12
  • 出版日期: 2021-03-25