Table 1.

Expressions that make up the time series visualization of the DSE SS-decomposition. A-var is to the total SS at time point t, D-var, S-var and E-var correspond to the fast, slow and edge variability terms. Global and non-global variance components sum to the total components. All of these terms, given as mean squared quantities, are best reported and plotted in root mean squared (RMS) units (see Appendix B for more on plotting global SS).

Name	Notation	Value	Range	X-axis Loc.
A-var	$A_t$	$\frac{1}{I}\sum _{i=1}^I{Y}_{it}^2$	$t=1,\dots ,T$	t
D-var	$D_t$	$\frac{1}{I}\sum _{i=1}^I{\left(Y_{it}-Y_{i,t+1}\right)}^2/4$	$t=1,\dots ,T-1$	$t+\frac{1}{2}$
S-var	$S_t$	$\frac{1}{I}\sum _{i=1}^I{\left(Y_{it}+Y_{i,t+1}\right)}^2/4$	$t=1,\dots ,T-1$	$t+\frac{1}{2}$
E-var	$E_t$	$\frac{1}{I}\sum _{i=1}^I{Y}_{it}^2/2$	$t=1,T$	t
Global A-var	$A_{Gt}$	${\overline{Y}}_t^2$	$t=1,\dots ,T$	t
Global D-var	$D_{Gt}$	${\left({\overline{Y}}_t-{\overline{Y}}_{t+1}\right)}^2/4$	$t=1,\dots ,T-1$	$t+\frac{1}{2}$
Global S-var	$S_{Gt}$	${\left({\overline{Y}}_t+{\overline{Y}}_{t+1}\right)}^2/4$	$t=1,\dots ,T-1$	$t+\frac{1}{2}$
Global E-var	$E_{Gt}$	${\overline{Y}}_t^2/2$	$t=1,T$	t
Non-Global A-var	$A_{Nt}$	$\frac{1}{I}\sum _i{\left(Y_{it}-{\overline{Y}}_t\right)}^2$	$t=1,\dots ,T$	t
Non-Global D-var	$D_{Nt}$	$\frac{1}{I}\sum _i{\left(Y_{it}-Y_{i,t+1}-\left({\overline{Y}}_t-{\overline{Y}}_{t+1}\right)\right)}^2/4$	$t=1,\dots ,T-1$	$t+\frac{1}{2}$
Non-Global S-var	$S_{Nt}$	$\frac{1}{I}\sum _i{\left(Y_{it}+Y_{i,t+1}-\left({\overline{Y}}_t+{\overline{Y}}_{t+1}\right)\right)}^2/4$	$t=1,\dots ,T-1$	$t+\frac{1}{2}$
Non-Global E-var	$E_{Nt}$	$\frac{1}{I}\sum _i{\left(Y_{it}-{\overline{Y}}_t\right)}^2/2$	$t=1,T$	t