R 2021, 13,12 ofvalue . The results show a composite character using a steep slope (-1.25 -2.98) for Safranin supplier higher frequencies, exactly where the series is non-conservative, whereas for low frequencies, the slope is greater than -1 (-0.01 -0.48). For this group, two scales with linear behavior are highlighted, using a clear break within the spectrum around eight.five to 29 days roughly, that is clearly demonstrated in the rainfall spectra (Figure 6b). Two ranges of scale invariance separated by a break were retained, the initial involving 1 day and 3 weeks along with the second between three weeks and 1 year, i.e., two distinct types of variability regimes. Furthermore, this break is identified because the synoptic maximum, defined as the maximum time scale for which synoptic events persist. In accordance with Rossi et al. (2011) [73], the values from the spectral exponents present details about the variability of each signal, according to the time scale thought of: a low rate of is linked to a higher variability in the information, even though a higher rate of is related to low variations. In line with the results of Tessier et al. (1993) and De Lima and Grasman (1999) [74,75], all obtained values of have been less than 1 and highlighted the conservative character with the rainfall time series, which can be Water 2021, 13, x FOR PEER Evaluation 13 of 24 really a lot in agreement together with the final results of this study. Thus, the two diverse slopes and characterize two categories of variability regimes, respectively connected to short- and long-term patterns. The outcomes on the log-log spectral analysis on the available rainfall time series are presented in Table three. 4.three. Cross AnalysesThe system’s four.three. Cross Analyses response to a rainfall impulse PK 11195 supplier happens in two modes according to Marsaud (1997) [76]: The system’s response to a rainfall impulse happens in two modes based on Marsaud – A transmissive function corresponding for the peak explains a well-developed drain(1997) [76]: age. A transmissive function corresponding for the peak explains a well-developed drainage. – A slower reduce explains the capacitive effect. A slower lower explains the capacitive impact. The cross-correlograms in Figure 7 consist of well-individualized responses for the The cross-correlograms in Figure 7 consist of well-individualized responses for the Acsif N’Boubhir and Sebaou Rabta systems and, significantly less obviously, for the Boughdoura sysAcsif N’Boubhir and Sebaou Rabta systems and, significantly less definitely, for the Boughdoura program, tem, which explains the well-developed drainage. At Sebaou Rabta, the 5-day peak repwhich explains the well-developed drainage. At Sebaou Rabta, the 5-day peak represents resents a rapid flow, plus the 36-day peak represents a delayed flow (Figure 7). Nevertheless, a fast flow, along with the 36-day peak represents a delayed flow (Figure 7). Nonetheless, the the A si River program not not show an increase within the correlogram, which indicates that A si River system doesdoesshow a rise inside the correlogram, which indicates that the the response to rainfall impulses is possibly pretty low, explaining that the performed response to rainfall impulses is likely really low, explaining that the technique method performed a filtering in the rainfall signal. Additionally, the human influence as well as the construca filtering of your rainfall signal. Additionally, the human impact as well as the building and tion and ordering on the Taksebt dam since 1998 could have influenced the rainfall-runoff ordering with the Taksebt dam because 1998 may possibly have influenced the r.