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应用科学学报 >

2019 , Vol. 37 >Issue 4: 519 - 528

DOI: https://doi.org/10.3969/j.issn.0255-8297.2019.04.009

信号与信息处理

基于Spearman等级系数的植被变化趋势分析

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  • 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
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

收稿日期: 2017-12-15

  修回日期: 2018-08-09

  网络出版日期: 2019-10-11

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

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

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  • 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 date: 2017-12-15

  Revised date: 2018-08-09

  Online published: 2019-10-11

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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%.

关键词： Spearman等级相关系数; Mann-Kendall检验; Pearson相关系数; 植被覆盖变化趋势分析; 归一化植被指数

本文引用格式

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 . DOI: 10.3969/j.issn.0255-8297.2019.04.009

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)

参考文献

[1] 邱海军,曹明明. 基于SPOT vegetation数据的中国植被覆盖时空变化分析[J]. 资源科学,2011, 33(2):335-340. Qiu H J, Cao M M. Spatioal and temporal variations in vegetation cover of China based on SPOT vegetation data[J]. Resources Science, 2011, 33(2):335-340. (in Chinese)
[2] Zar J H. Significance testing of the Spearman rank correlation coefficient[J]. Journal of the American Statistical Association, 1972, 67(339):578-580.
[3] Stefaine H. Shape improvement of surfaces[J]. Journal of Computing, 1998, 13:135-152.
[4] Rigina O, Rasmussen M S. Using trend line and principal component analysis to study vegetation changes in Senegal 1986-1999 from AVHRR NDVI 8 km data[J]. Danish Journal of Geography, 2003, 103:31-42.
[5] Li W S, Xu S H, Zheng J M, Zhao G. Target curvature driven fairing algorithm for plannar cubic B-spline curves[J]. Computer Aided Geometric Design, 2004, 21(5):499-513.
[6] Evans J, Geerken R. Discrimination between climate and human-induced dryland degradation[J]. Journal of Arid, 2004, 57(4):535-554.
[7] Herrmann S M, Anyamba A, Tucker C J. Recent trends in vegetation dynamics in the African Sahel and their relationship to climate[J]. Global Environmental Change Part A, 2005, 15(4):394-404.
[8] Jina Z, Tiana Q, Chen B J. Spatial scaling between leaf area index maps of different resolutions[J]. Journal of Environmental Management, 2006, 8:1-10.
[9] Gocic M, Trajkovic S. Analysis of changes in meteorological variables using Mann-Kendall and Sen's slope estimator statistical tests in Serbia[J]. Global and Planetary Change, 2013, 100:172-182.
[10] 朴世龙,方精云. 最近18年来中国植被覆盖的动态变化[J]. 第四纪研究,2001, 21(4):294-302. Piao S L, Fang J Y. Dynamic vegetation cover change over the last 18 years in China[J]. Quaternary Sciences, 2001, 21(4):294-302. (in Chinese)
[11] 祁云蒿,谢军. 基于Spearman秩相关的序值决策系统约简[J]. 计算机应用,2009, 29(7):1758-1763. Qi Y S, Xie J. Reduction in ordered decision system based on Spearman rank correlations[J]. Journal of Computer Applications, 2009, 29(7):1758-1763. (in Chinese)
[12] 王开军,黄添强. 基于趋势秩的Spearman相关方法[J]. 福建师范大学学报(自然科学版),2010, 26(1):38-41. Wang K J, Huang T Q. Spearm rank correlation method based on trend rank[J]. Journal of Fujian Normal University (Natural Science Edition), 2010, 26(1):38-41. (in Chinese)
[13] 蔡博峰,于嵘. 基于遥感的植被长时序趋势特征研究进展及评价[J]. 遥感学报, 2009, 13(6):1177-1186. Cai B F, Yu R. Advance and evaluation in the long time series vegetation trends research based on remote sensing[J]. Journal of Remote Sensing, 2009, 13(6):1177-1186. (in Chinese)
[14] 邱海军,曹明明. 基于SPOT vegetation数据的中国植被覆盖时空变化分析[J]. 资源科学,2011, 33(2):335-340. Qiu H J, Cao M M. Spatioal and temporal variations in vegetation cover in China based on SPOT vegetation data[J]. Resources Science, 2011, 33(2):335-340. (in Chinese)
[15] 张戈丽,徐兴良,周才平,张宏斌,欧阳华. 近30年来呼伦贝尔地区草地植被变化对气候变化的响应[J]. 地理学报,2011, 66(1):47-58. Zhang G L, Xu X L, Zhou C P, Zhang H B, Ouyang H. Responses of vegetation changes to climatic variations in Hulun Buir grassland in past 30 years[J]. Acta Geographica Sinica, 2011, 66(1):47-58. (in Chinese)
[16] 王娟,李宝林,余万里. 近30年内蒙古自治区植被变化趋势及影响因素分析[J]. 干旱区资源与环境,2012, 26(2):132-138. Wang J, Li B L, Yu W L. Analysis of vegetation trend and their causes during recent 30 years in inner Mongolia Autonomous Region[J]. Journal of Arid Land Resources and Environment, 2012, 26(2):132-138. (in Chinese)
[17] 缪丽娟,蒋冲,何斌,刘强,朱枫,崔雪峰. 近10年来蒙古高原植被覆盖变化气候的响应[J]. 生态学报,2014, 34(5):1295-1301. Miao L J, Jiang C, He B, Liu Q, Zhu F, Cui X F. Response of vegetation coverage to climate change in Mongolian Plateau during recent 10 years[J]. Acta Ecologica Sinica, 2014, 34(5):1295-1301. (in Chinese)
[18] 李强,张翀. 基于NDVI时间序列的近12年中国植被覆盖的单调趋势分析[J]. 水土保持通报, 2014, 34(3):135-140. Li Q, Zhang C. An analysis of monotonic trend of vegetation cover in China based on NDVI time series[J]. Bulletin of Soil and Water Conservation, 2014, 34(3):135-140. (in Chinese)
[19] 王家琪,陈星任. 内蒙古赤峰及其周边地区荒漠化变化趋势研究[J]. 安徽农业科学,2016, 44(27):217-219. Wang J Q, Chen X R. Study on the variation trend of desertification in Chifeng, Inner Mongolia and its surrounding area-based on the AIbedo and the characteristic space of the normalized difference vegetation index[J]. Journal of Anhui Agricultural Sciences, 2016, 44(27):217-219. (in Chinese)
[20] 穆少杰,李建龙,陈奕兆,刚成诚,周伟,居为民. 2001-2010年内蒙古植被覆盖度时空变化特征[J]. 地理学报,2012, 67(9):1255-1268. Mu S J, Li J L, Chen Y Z, Gang C C, Zhou W, Ju W M. Spatial differences of variations of vegetation coverage in Inner Mongolia during 2001-2010[J]. Acta Geographica Sinica, 2012, 67(9):1255-1268. (in Chinese)
[21] 王文鹏,陈元芳,刘波. 长江上游时空相关气候要素的区域趋势诊断[J]. 河海大学学报(自然科学版),2017, 45(1):14-21. Wang W P, Chen Y F, Liu B. Regional climatic trend analysis in upper Yangtze River with consideration of both temporal and spatial correlation[J]. Journal of Hohai University (Natural Sciences), 2017, 45(1):14-21. (in Chinese)
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