Extended Data Fig. 2: The ensemble-mean relationship between the autocorrelation and the average length of a warm event.
From: Widespread changes in surface temperature persistence under climate change

(a) The 2d density plot of the lag-one autocorrelation and the average length of warm events calculated as a function of grid box in the CESM1 historical output. Results are calculated for each ensemble member and then averaged over all ensemble members. Warm events are defined as periods when temperatures exceed one standard deviation. Each panel includes results from 55296 grid boxes. (b; shading) As in the top panel, but results are averaged over bins that span 0.001 on the abscissa. (b; black line) Results derived from randomly generated red-noise time series with autocorrelation specified on the abscissa. Data density is found using a Gaussian kernel density estimate.