“…Several studies have proposed statistical approaches to test for the presence of non-stationarity, including the assessment of the variance of the FC time series (Sakoğlu et al, 2010), test statistics based on the FC time series’ Fourier-transform (Handwerker et al, 2012), linear (e.g., variance of correlation series (Hindriks et al, 2016)) and nonlinear test statistics (Zalesky et al, 2014), among others (Chang and Glover, 2010; Keilholz et al, 2013; Laumann et al, 2016). The bulk of the evidence points to the non-stationary nature of BOLD FC, a conclusion that is consistent with recent work suggesting that non-stationarity in BOLD functional connectivity reflects changes in ongoing cognitive processes supporting learning, working memory function, linguistic processing, and executive function (Bassett et al, 2011; Braun et al, 2015; Chai et al, 2016, 2017; Hutchison et al, 2013a). Nonetheless, some of these reports are inconclusive, mainly because test statistics are commonly compared against that of null (stationary) time series and creating such time series with matching covariance structure, spectral properties, and stationary FC to this day remains a challenge (Hindriks et al, 2016).…”