“…However, a critical change-point is the point where a major shift in the trend is recognised. There are several approaches to performing a trend analyses and 'changepoint analyses' (Page, 1955;Chow, 1960;Page, 1957;Hinkley, 1971;Hinkley and Schechtman, 1987;Pettitt, 1980;Box and Luceño, 1997;Sibanda and Sibanda, 2007;Fujisaki et al 2008;Taylor, 2000a;Taylor, 2011 Here, the CUSUMs are not the CUSUMs of the values instead they are the CUSUMs of differences between the values and the average. "These differences sum up to zero, so the CUSUM always ends at zero (S43=0)" (Taylor, 2000a).…”