湖北农业科学 ›› 2021, Vol. 60 ›› Issue (16): 64-69.doi: 10.14088/j.cnki.issn0439-8114.2021.16.012

• 资环∙环境 • 上一篇    下一篇

优化的灰色-马尔可夫模型在呼伦贝尔市年降水量预测中的应用

张志莉   

  1. 呼伦贝尔学院数学与统计学院,内蒙古 呼伦贝尔 021008
  • 收稿日期:2020-09-04 出版日期:2021-08-25 发布日期:2021-09-09
  • 作者简介:张志莉(1979-),女,内蒙古呼伦贝尔人,副教授,硕士,主要从事经济统计方面的研究,(电话)15048018099(电子信箱)475473799@qq.com。
  • 基金资助:
    内蒙古社会科学规划项目(2019NDB060); 呼伦贝尔学院重点项目(2018FDZD09); 呼伦贝尔学院项目(QTKT-034); 呼伦贝尔学院2021年校级课题“优化的灰色-Markov组合模型在呼伦贝尔市降水量预测中的应用”

The application of optimized Grey-Markov model in forecasting annual precipitation of Hulunbuir city

ZHANG Zhi-li   

  1. School of Mathematics and Statistics, Hulunbuir College,Hulunbuir 021008,Inner mongolia,China
  • Received:2020-09-04 Online:2021-08-25 Published:2021-09-09

摘要: 利用2002—2016年呼伦贝尔市年降水量数据,对GM(1,1)模型进行加权滑动优化,无偏灰色模型改进以及残差序列修正,同时构建出滑动无偏残差修正的灰色-马尔可夫组合模型。结果表明,比较呼伦贝尔市2017年与2018年实际降水量,发现组合模型在预测拟合度、预测精度方面都比较理想,能够对呼伦贝尔市年降水量进行合理预测。2019—2021年呼伦贝尔市年降水量呈上升趋势。2019年最有可能处于评估较为准确状态和高估状态,可能的概率分别为41%和38%,而2020年和2021年最有可能为高估状态,即这2年实际年降水量会低于预测模型预测的结果,可能的概率均为42%;从总体上来看,呼伦贝尔市未来的年降水量较为充沛,这将对呼伦贝尔草原草地生态发展起到积极的促进作用。

关键词: GM(1,1)模型, 马尔可夫模型, 优化, 呼伦贝尔市, 年降水量, 预测

Abstract: By using annual precipitation data of Hulunbuir grassland from 2002 to 2016, taking the method of Weighted slip optimization, unbiasing grey model improvement and residual sequence correction to modify the GM(1,1) model, the Grey-Markov combination model of sliding unbiased residuals correction is constructed. The results show that after comparing the actual precipitation of Hulunbuir in 2017 and 2018, finding the combined model is ideal in the degree of prediction fitting and accuracy, it can be used to reasonably predict the annual precipitation of Hulunbuir. In 2019—2021, the annual precipitation of Hulunbuir will increase. The most likely in 2019 will be in accurate assessment and overestimation state, with a probability of 41% and 38% respectively. However, in 2020 and 2021 is the overestimated state, that is, the actual annual precipitation in these two years will be lower than the predicted result of the prediction model with the same probability of 42%. On the whole, the annual precipitation in Hulunbuir will be abundant in the future, which will play a positive role in promoting the ecological development of Hulunbuir grassland.

Key words: GM(1,1) model, Markov model, optimize, Hulunbuir city, annual precipitation, forecast

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