用于河流流量预测的混合小波变换-MLR 和 ANN 模型:雅鲁藏布江(潘查拉特纳站)案例研究

Sachin Dadu Khandekar, Dinesh Shrikrishna Aswar, P. Sabale, Varsha Sachin Khandekar, M. Bajad, Shivakumar Khaple
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摘要

在这项研究中,离散小波变换(DWT)与 MLR 和 ANN 相结合,分别开发出 WMLR 和 WANN 混合模型,用于雅鲁藏布江(Pancharatna 站)流量预报。将 10 年间的日流量数据分解(分解到第五级)为详细系数和近似系数(使用多贝希斯小波 db1、db2、db3、db8 和 db10),并将其作为输入输入到 MLR 和 ANN,以获得提前 2 天、4 天、7 天和 14 天的预测流量值。与 WANN-db1、WANN-db2、WANN-db3、WANN-db8、WMLR-db1、WMLR-db2、WMLR-db3、WMLR-db8 以及单一的 MLR 和 ANN 模型相比,WMLR-db10 模型在所有提前期都更胜一筹。测试期间,WMLR-db10 模型在 2 天、4 天、7 天和 14 天提前期的确定系数 (R2) 和均方根误差值分别为 0.996(751.87 m3-s-1)、0.991(1,174.80 m3-s-1)、0.984(1,585.02 m3-s-1)和 0.968(2,196.46 m3-s-1)。此外,对于低阶小波(db1、db2、db3),WANN 的性能更好,而对于高阶小波(db8、db10),WMLR 的性能更好。相应地,所有混合模型的效率都随着分解级别的提高而提高。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Hybrid wavelet transform – MLR and ANN models for river flow prediction: Case study of Brahmaputra river (Pancharatna station)
In this research, discrete wavelet transform (DWT) is combined with MLR and ANN to develop WMLR and WANN hybrid models, respectively, for the Brahmaputra river (Pancharatna station) flow forecasting. Daily flow data for the period of 10 year were decomposed (up to fifth level) into detailed and approximation coefficients (using Daubechies wavelets db1, db2, db3, db8 and db10) which were fed as input to MLR and ANN to get the predicted discharge values two days, four days, seven days and 14 days ahead. For all lead times, the WMLR-db10 model was found to be superior as compared to WANN-db1, WANN-db2, WANN-db3, WANN-db8, WMLR-db1, WMLR-db2, WMLR-db3, WMLR-db8 and single MLR and ANN models. During testing period, the values of determination coefficient (R2) and RMSE for WMLR-db10 model for two-, four-, seven- and 14-day lead time were found to be, respectively, 0.996 (751.87 m3·s–1), 0.991 (1,174.80 m3·s–1), 0.984 (1,585.02 m3·s–1), and 0.968 (2,196.46 m3·s–1). Also, it was observed that for lower order wavelets (db1, db2, db3) WANN’s performance was better, and for higher order wavelets (db8, db10) WMLR’s performance was better. Correspondingly, it was observed that all hybrid models’ efficiency increased with increase in the decomposition level.
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