Change-point analysis as a tool to detect abrupt climate variations

被引:142
作者
Beaulieu, Claudie [1 ]
Chen, Jie [2 ]
Sarmiento, Jorge L. [1 ]
机构
[1] Princeton Univ, Program Atmospher & Ocean Sci, Princeton, NJ 08540 USA
[2] Univ Missouri, Dept Math & Stat, Kansas City, MO 64110 USA
来源
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 2012年 / 370卷 / 1962期
关键词
change-point detection; autocorrelation; regime shift; abrupt climate change; ATMOSPHERIC CARBON-DIOXIDE; LIKELIHOOD RATIO TEST; MAXIMAL T-TEST; UNDOCUMENTED CHANGEPOINTS; HOMOGENEITY TEST; NORTH PACIFIC; REGIME SHIFTS; SLOWING-DOWN; DISCONTINUITIES; JUMP;
D O I
10.1098/rsta.2011.0383
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
070301 [无机化学]; 070403 [天体物理学]; 070507 [自然资源与国土空间规划学]; 090105 [作物生产系统与生态工程];
摘要
Recently, there have been an increasing number of studies using change-point methods to detect artificial or natural discontinuities and regime shifts in climate. However, a major drawback with most of the currently used change-point methods is the lack of flexibility (able to detect one specific type of shift under the assumption that the residuals are independent). As temporal variations in climate are complex, it may be difficult to identify change points with very simple models. Moreover, climate time series are known to exhibit autocorrelation, which corresponds to a model misspecification if not taken into account and can lead to the detection of non-existent shifts. In this study, we extend a method known as the informational approach for change-point detection to take into account the presence of autocorrelation in the model. The usefulness and flexibility of this approach are demonstrated through applications. Furthermore, it is highly desirable to develop techniques that can detect shifts soon after they occur for climate monitoring. To address this, we also carried out a simulation study in order to investigate the number of years after which an abrupt shift is detectable. We use two decision rules in order to decide whether a shift is detected or not, which represents a trade-off between increasing our chances of detecting a shift and reducing the risk of detecting a shift while in reality there is none. We show that, as of now, we have good chances to detect an abrupt shift with a magnitude that is larger than that of the standard deviation in the series of observations. For shifts with a very large magnitude (three times the standard deviation), our simulation study shows that after only 4 years the probabilities of shift detection reach nearly 100 per cent. This reveals that the approach has potential for climate monitoring.
引用
收藏
页码:1228 / 1249
页数:22
相关论文
共 102 条
[1]
A HOMOGENEITY TEST APPLIED TO PRECIPITATION DATA [J].
ALEXANDERSSON, H .
JOURNAL OF CLIMATOLOGY, 1986, 6 (06) :661-675
[2]
[Anonymous], 1997, LIMIT THEOREMS CHANG
[3]
Permutation tests in change point analysis [J].
Antoch, J ;
Husková, M .
STATISTICS & PROBABILITY LETTERS, 2001, 53 (01) :37-46
[4]
Estimating and testing linear models with multiple structural changes [J].
Bai, JS ;
Perron, P .
ECONOMETRICA, 1998, 66 (01) :47-78
[5]
A Bayesian normal homogeneity test for the detection of artificial discontinuities in climatic series [J].
Beaulieu, Claudie ;
Ouarda, Taha B. M. J. ;
Seidou, Ousmane .
INTERNATIONAL JOURNAL OF CLIMATOLOGY, 2010, 30 (15) :2342-2357
[6]
Identification and characterization of abrupt changes in the land uptake of carbon [J].
Beaulieu, Claudie ;
Sarmiento, Jorge L. ;
Fletcher, Sara E. Mikaloff ;
Chen, Jie ;
Medvigy, David .
GLOBAL BIOGEOCHEMICAL CYCLES, 2012, 26
[7]
Intercomparison of homogenization techniques for precipitation data [J].
Beaulieu, Claudie ;
Seidou, Ousmane ;
Ouarda, Taha B. M. J. ;
Zhang, Xuebin ;
Boulet, Gilles ;
Yagouti, Abderrahmane .
WATER RESOURCES RESEARCH, 2008, 44 (02)
[8]
BROWN RL, 1975, J ROY STAT SOC B MET, V37, P149
[9]
Consistency of global satellite-derived aerosol and cloud data sets with recent brightening observations [J].
Cermak, Jan ;
Wild, Martin ;
Knutti, Reto ;
Mishchenko, Michael I. ;
Heidinger, Andrew K. .
GEOPHYSICAL RESEARCH LETTERS, 2010, 37
[10]
Testing and locating variance changepoints with application to stock prices [J].
Chen, J ;
Gupta, AK .
JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 1997, 92 (438) :739-747