基于滑动无偏灰色马尔科夫模型的水库年降雨量预测
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Prediction of Annual Precipitation over Reservoir Based on Sliding Unbiased Grey Markov Model
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    摘要:

    为了判别灰色模型与灰色马尔科夫模型哪一个更适合于降雨量的预测,以山西省寿阳县蔡庄水库为研究对象,通过灰色模拟、无偏灰色模拟、滑动无偏灰色模拟3种模拟方法对研究区40 a的降雨量进行数值模拟,比较了3种方法的精确程度。选出最优方法,将精度最高的滑动无偏灰色模型辅以马尔科夫模型,形成灰色马尔科夫模型,再与灰色模型作对比较,判断其精度。结果表明,灰色模型对于长期预测和波动性较大的数据列拟合效果较差,灰色马尔科夫模型能够更好地适应数据的波动性,模拟效果更好。因此,在改进灰色模型的基础上辅以马尔科夫模型,形成改进的灰色马尔科夫模型,发挥出灰色模型与马尔科夫模型各自的优点,达到了更好的模拟效果。

    Abstract:

    In order to distinguish grey model or grey Markov model is more suitable for rainfall forecasting, grey model(GM), unbiased grey model and moving unbiased grey model were compared by taking the Caizhuang Reservoir in Shouyang County, Shanxi Province as the research object and using its 40 a rainfall data. The model with the highest precision slinding unbiased grey model was chosen and added to Markov model to generate grey Markov model and then compare it with grey model. Results showed that grey model gave a poor result for long-term prediction and highly fluctuant data. Therefore, based on grey model and Markov model, improved grey Markov model was established, which had their respective advantages and better predicting effects.

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侯翔龙,阳辉.基于滑动无偏灰色马尔科夫模型的水库年降雨量预测[J].水土保持通报,2014,(3):181-184

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  • 收稿日期:2013-06-14
  • 最后修改日期:2013-08-14
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  • 在线发布日期: 2016-03-29
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