基于Spearman等级系数的植被变化趋势分析

doi:10.3969/j.issn.0255-8297.2019.04.009

应用科学学报 ›› 2019, Vol. 37 ›› Issue (4): 519-528.doi: 10.3969/j.issn.0255-8297.2019.04.009

基于Spearman等级系数的植被变化趋势分析

王佃来¹, 宿爱霞², 刘文萍³

1. 首钢工学院信息工程系, 北京 100144;
2. 中国软件评测中心, 北京 100048;
3. 北京林业大学信息学院, 北京 100083

收稿日期:2017-12-15 修回日期:2018-08-09 出版日期:2019-07-31 发布日期:2019-10-11
作者简介:王佃来,副教授,研究方向:数字图像处理和软件工程,E-mail:wangdl12345@126.com
基金资助:
北京市科技计划基金（No.Z171100001417005）；中央高校基本科研业务费专项基金（No.2015ZCQ-XX）资助

Trend Analysis of Vegetation Cover Changes Based on Spearman Rank Correlation Coefficient

WANG Dianlai¹, SU Aixia², LIU Wenping³

1. Department of Information Engineering, Shougang Insititute of Technology, Beijing 100144, China;
2. China Software Testing Center, Beijing 100048, China;
3. College of Information, Beijing Forestry University, Beijing 100083, China

Received:2017-12-15 Revised:2018-08-09 Online:2019-07-31 Published:2019-10-11

摘要/Abstract

摘要： 针对Pearson相关系数法在长时间序列植被覆盖变化趋势分析中存在对噪声敏感且只能发现线性关系等局限性，采用Spearman等级相关系数法研究了该方法在长时间序列植被覆盖变化趋势分析中的可行性和适用性.首先，使用数据模拟法研究了Spearman等级相关系数法的抗噪性.其次，基于1998-2013年SPOT vegetation归一化植被指数数据，使用Pearson相关系数法、Mann-Kendall趋势检测法、Spearman等级相关系数法对内蒙古地区的植被覆盖变化趋势状况进行检测，并对检测结果进行了图形化处理，同时对比了3种方法结果的差异.实验结果表明：在10%的随机噪声情况下，Spearman等级相关系数法有较好的抗噪性.Spearman等级相关系数法、Pearson相关系数法和Mann-Kendall检验法的植被覆盖趋势变化图和检验数据表明：3种方法的检测结果在空间分布上有较高的一致性，且在植被改善和退化区域的最大差异不超过2%.

Abstract: Spearman rank correlation coefficient method is proposed and its feasibility and applicability are also investigated, in view of problems that Pearson correlation coefficient method suffers noise sensitivity and limited finding ability of linear relationship in the longterm trend analysis of vegetation cover changes. Firstly, the anti-noise ability of Spearman rank correlation coefficient method is studied by simulation. Secondly, based on SPOT vegetation normalized vegetation index (NDVI) data from 1998 to 2013, Pearson correlation coefficient, Mann-Kendall test and Spearman rank correlation coefficient method are used to detect the vegetation cover changes in Inner Mongolia, and the results are graphically presented. The differences of the three methods are compared. The experimental results show that Spearman rank correlation coefficient has better anti-noise performance. There is high consistency in spatial distribution of vegetation cover changes among the results of Spearman rank correlation coefficient, Pearson correlation coefficient, and Mann-Kendall test. The maximum difference in vegetation increase and decrease regions does not exceed 2% in three methods.

Key words: Spearman rank correlation coefficient, Mann-Kendal test, Pearson correlation coefficient, trend analysis of vegetation cover changes, normalized vegetation index (NDVI)

中图分类号:

TP311.52

王佃来, 宿爱霞, 刘文萍. 基于Spearman等级系数的植被变化趋势分析[J]. 应用科学学报, 2019, 37(4): 519-528.

WANG Dianlai, SU Aixia, LIU Wenping. Trend Analysis of Vegetation Cover Changes Based on Spearman Rank Correlation Coefficient[J]. Journal of Applied Sciences, 2019, 37(4): 519-528.

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基于Spearman等级系数的植被变化趋势分析

Trend Analysis of Vegetation Cover Changes Based on Spearman Rank Correlation Coefficient

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