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基于函数型数据的城市月降水量特征分析

郑大钊

高师理科学刊2023,Vol.43Issue(12):27-33,7.
高师理科学刊2023,Vol.43Issue(12):27-33,7.DOI:10.3969/j.issn.1007-9831.2023.12.005

基于函数型数据的城市月降水量特征分析

Analysis of monthly urban precipitation characteristics based on functional data

郑大钊1

作者信息

  • 1. 齐齐哈尔大学 理学院,黑龙江 齐齐哈尔 161006
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摘要

Abstract

Precipitation is an extremely important meteorological factor,the uneven distribution of precipitation over time and space will to some extent lead to flooding or drought in some areas.The method of functional principal component analysis is applied to analyze monthly precipitation data.The monthly precipitation data of 31 major cities in China for 23 years is selected,and the precipitation curve is obtained by introducing the Fourier basis function and functionalizing it.Then,functional principal component analysis was used for research.The analysis shows that the cumulative contribution of the first four principal components is 93.28%,which can explain most information of the original data,and the dimension reduction effect is better than the traditional principal component analysis.Finally,using the first four functional principal components and the perturbation of the average curve,combined with actual characteristics,the time of significant changes in precipitation in some regions is given.

关键词

函数型数据/月降水量/函数型主成分分析

Key words

functional data/monthly precipitation/functional principal component analysis

分类

数学

引用本文复制引用

郑大钊..基于函数型数据的城市月降水量特征分析[J].高师理科学刊,2023,43(12):27-33,7.

基金项目

黑龙江省教育厅基本业务专项(135109228) (135109228)

高师理科学刊

1007-9831

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