基于灰色动态模型群的衡水市居民年用水量预测

Projection of residential annual water consumption in Hengshui City based on dynamic gray model groups

  • 摘要: 针对居民用水量序列的随机性和周期性以及传统灰色模型由于离散程度大而产生的过拟合问题,依据灰色模型理论构造了由5个GM(1,1)模型组成的灰色动态模型群;基于衡水市2007—2019年居民年用水量数据,采用灰色动态模型群对衡水市2020—2030年居民年用水量变化进行预测研究,并对预测结果进行残差检验以及残差修正;将灰色动态模型群分别与5个GM(1,1)模型进行对比,以检验模型性能。结果表明:灰色动态模型群的预测相对误差整体小于传统GM(1,1)模型,具有更好的准确性和适用性;衡水市2019年居民年用水量为1 795.00万m3,2030年预计增至2 862.21万m3,未来衡水市居民年用水量呈明显增长趋势,这与衡水市未来人口增长和社会经济发展趋势相吻合。衡水市未来居民用水量预测结果可为供水优化调度和水资源优化配置提供参考。

     

    Abstract: To address the randomness and periodicity of the residential water consumption (RWC) data along with overfitting problem caused by the large dispersion of traditional gray model, a dynamic gray model group consisting of five GM(1,1) models was proposed based on gray model theory. Based on the annual RWC data of Hengshui City from 2007 to 2019, the dynamic gray model group was used to project the future changes of annual RWC in Hengshui City during 2020-2030, and meanwhile residual tests and corrections were conducted using the projected results; the dynamic gray model group was compared with five GM(1,1) models to test the model accuracy. The results showed that the projected relative error of the dynamic gray model group was smaller than that of the traditional GM(1, 1) model, implying better accuracy and applicability. The annual RWC in Hengshui approached 17.95 million m3 in 2019 and was expected to increase to 28.62 million m3 in 2030, which indicated that the future RWC in Hengshui City would be at an obvious uptrend, and this result was in line with the future population growth and socio-economic development trend. The projected results of RWC in this study was capable of providing reference for optimal water supply and water resources allocation in Hengshui City.

     

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