Effect of Trends on Detrended Fluctuation Analysis of Precipitation Series

Figure 2

(a) DFA of the original series. For each order-$n$ DFA there exists two crossovers $s_{1x}^{(n)}$ and $s_{2x}^{(n)}$ (We use$s_x^{(n)}$ for them) which divide the curves into 3 different scaling segments whose scaling exponents are: ${\alpha }_0^{(n)}\text{,}$${\alpha }_1^{(n)}$ and ${\alpha }_2^{(n)}$ respectively (We use ${\alpha }^{(n)}$ for them). (b) The DFA of a sinusoidal series given by the function $10*\hspace{0.17em}\sin (20\pi i/N)$, where $N$ is the length of the original series

(a)

(b)