Figure 4: DFA of the series with correlated trend $A{[X(i)]}^{p},$ that is, $Y(i)=X(i)+\mathrm{\hspace{0.17em}\hspace{0.17em}}A{[X(i)]}^{p},$ where $A=1$, (a) $p=1.8$. (b) $p=1.9$. (c) $p=2.8$. (d) $p=2.9$. (e) $p=3.8$. (f) $p=3.9$. (a)$\to $(b) is the process that crossover ${s}_{1x}^{(1)}$ changes from $84(<100)$ to $106(>100)$. (c)$\to $(d) is the “vanishing’’ process of ${s}_{1x}^{(1)}$ and ${s}_{1x}^{(2)}$ while (e)$\to $(f) is the “vanishing’’ process of ${s}_{1x}^{(n)},$$n=\mathrm{3,4},5$. Some typical crossovers are tagged by arrows. 
