Effect of Trends on Detrended Fluctuation Analysis of Precipitation Series

Figure 3

DFA of the series with correlated trend $A{[X(i)]}^p$, that is, $Y(i)\mathrm{\hspace{0.17em}\hspace{0.17em}}=X(i)+\mathrm{\hspace{0.17em}\hspace{0.17em}}A{[X(i)]}^p$, where $A=1$, (a) $p=1$, (b) $p=2$, (c) $p=3$, (d) $p=4$, (e) $p=5$, (f) $p=6$.

(a)

(b)

(c)

(d)

(e)

(f)