Effect of Trends on Detrended Fluctuation Analysis of Precipitation Series

Figure 5

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 $p=2$, (a) $A=0.01$, (b) $A=10$, (c) $A=100$, (d) $A=10000$.

(a)

(b)

(c)

(d)