Program in Atmospheric and Oceanic Sciences, Princeton University, Princeton, NJ 08540, USA.
Philos Trans A Math Phys Eng Sci. 2012 Mar 13;370(1962):1228-49. doi: 10.1098/rsta.2011.0383.
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.
最近,越来越多的研究使用变点方法来检测气候中的人为或自然不连续性和状态转变。然而,目前大多数使用的变点方法的一个主要缺点是缺乏灵活性(能够在假设残差独立的情况下检测到一种特定类型的转变)。由于气候的时间变化是复杂的,可能很难用非常简单的模型来识别转折点。此外,气候时间序列已知存在自相关性,如果不考虑这种相关性,就会导致模型失配,并可能导致检测到不存在的转变。在本研究中,我们扩展了一种称为信息方法的变点检测方法,以考虑模型中存在的自相关性。通过应用证明了这种方法的有用性和灵活性。此外,开发能够在气候变化发生后尽快检测到变化的技术是非常理想的。为此,我们还进行了一项模拟研究,以调查在发生突然转变后可以检测到的年数。我们使用两种决策规则来决定是否检测到转变,这代表了在增加检测到转变的机会和降低检测到实际上不存在的转变的风险之间的权衡。我们表明,到目前为止,我们有很大的机会检测到一个幅度大于观测序列标准差的突然转变。对于幅度非常大(三倍于标准差)的转变,我们的模拟研究表明,仅在 4 年后,转变检测的概率就接近 100%。这表明该方法具有用于气候监测的潜力。