The effects of extremes and temporal scale on multifractal properties of river flow time series

Hekmatzadeh, Ali Akbar; Haghighi, Ali Torabi; Guyomi, Kianoosh Hosseini; Amiri, Seyed Mehrab; Kløve, Bjørn

doi:10.1002/rra.3550

Cited by 11 publications

(4 citation statements)

References 46 publications

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“…Of all the methods mentioned, the DFA method has been proven to have exceptional accuracy [10,11] in analyzing fractal properties not only for geomagnetic data [3,5,6,[12][13][14] but for other purposes as well, as noted by Kantelhardt et al [15]. On the other hand, the newer method of r-DFA has been prominently utilized in analyzing hydrological data [16][17][18] and to a lesser extent, other types of data such as meteorological data [19], medical data [20], and solar activity data [21]. As for geomagnetic data, to date, it has been subjected to the method of r-DFA [22], but not to an extensive degree.…”

Section: Introductionmentioning

confidence: 99%

Identification of Fractal Properties in Geomagnetic Data of Southeast Asian Region during Various Solar Activity Levels

et al. 2021

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The fractal properties of geomagnetic northward component data (H-component) in the equatorial region during various phases of solar activity over Southeast Asia were investigated and then quantified using the parameter of the Hurst exponent (H). This study began with the identification of existence of spectral peaks and scaling properties in international quiet day H-component data which were measured during three levels of solar activity: low, intermediate, and high. Then, various cases of quiet and disturbed days during different solar activity levels were analyzed using the method that performed the best in the preceding part. In all the years analyzed, multifractal scaling and spectral peaks exist, signifying that the data have fractal properties and that there are external factors driving the fluctuations of geomagnetic activity other than solar activity. The analysis of various cases of quiet and disturbed days generally showed that quiet days had anti-persistence tendencies (H < 0.5) while disturbed days had persistence tendencies (H > 0.5)—generally a higher level of Hurst exponent compared to quiet days. As for long-term quiet day H-component data, it had a Hurst exponent value that was near H ≃ 0.50, while the long-term disturbed day H-component data showed higher values than that of the quiet day.

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Section: Introductionmentioning

confidence: 99%

Identification of Fractal Properties in Geomagnetic Data of Southeast Asian Region during Various Solar Activity Levels

et al. 2021

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“…Fortunately, empirical studies have demonstrated the effectiveness of fractal geometry in describing natural phenomena such as mountains, clouds, tree trunks, river networks, and coastlines. Fractal geometry's ability to capture the self-similarity and irregularity of natural structures can provide a more accurate and detailed understanding of these phenomena (Hekmatzadeh et al, 2018;Mandelbrot, 1982). It is possible to assign a fractal dimension to every part of nature by using fractal theory and the idea that many phenomena within nature are in order despite chaos (Mofidi et al, 2021;Mohammadi Khoshoui, 2017).…”

Section: Introductionmentioning

confidence: 99%

Application of Fractal Dimension in Erosion Susceptibility Analysis of Geological Formations in Arid Areas, the Yazd-Ardakan Catchment of Iran

Khoshoui,

Ekhtesasi,

Talebi

2023

Preprint

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The study was conducted to determine if the drainage network's fractal dimension could be used to classify the resistance of three geological formations in Iran's Yazd-Ardakan catchment. The study also compared the results of the fractal dimensions method with those of the MPSIAC, Feyznia, and Selby methods. There was a significant difference in the drainage network's mean fractal dimension among the three geological formations, with Taft limestone having the lowest fractal dimension (1.149) and the Kahar shale and sandstone formation having the highest (1.207). The MPSIAC and Feyznia methods classified the Shirkuh granite and Taft limestone formations as resistant, while the Selby method and fractal dimensions of the drainage network classified the Taft limestone formation as resistant and the Shirkuh granite formation as moderate. The fractal dimensions of the drainage network were found to correlate significantly with morphological parameters and geological formation sensitivity. In comparison to more resistant formations, more sensitive geological formations were found to have higher fractal dimensions and significantly different drainage network morphologies. This indicates that lithology plays a significant role in the development of drainage networks. In this study, fractal dimensions were effective in classifying and separating the Kahar sandstone and shale, Taft limestone, and Shirkuh granite formations with 93%, 78%, and 75% probabilities, respectively. The study's findings suggest that fractal analysis is a valuable and cost-effective tool for assessing geological formations' resistance to erosion and environmental factors compared to more time-consuming and expensive methods such as field surveys or laboratory analysis.

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“…Eng et al, 2013;Fazel et al, 2017;Nilsson et al, 2005;Radinger et al, 2018;Torabi Haghighi and Kløve, 2017). Anthropogenic interference, such as land use and cover change and river modification as well as climate change, can influence major characteristics of flow regimes (Ashraf et al, 2018;Hekmatzadeh et al, 2020;Mustonen et al, 2016;Pirnia et al, 2019;Torabi Haghighi et al, 2019;Yaraghi et al, 2019). Managing large rivers is especially challenging as they are transboundary, with different upstream and downstream water management interests.…”

Section: Introductionmentioning

confidence: 99%

The impact of river regulation in the Tigris and Euphrates on the Arvandroud Estuary

Haghighi

Sadegh

Bhattacharjee

et al. 2020

Progress in Physical Geography: Earth and Environment

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The Arvandroud river (also known as Shatt-al-Arab) and its estuary have been degraded due to the changing river flow regime in the Tigris and Euphrates. This study assessed changes in flow from the major rivers and the impacts on the estuary. To assess the river flow changes, three major flow regime attributes were computed: timing (TIF), magnitude (MIF), and variability (VIF). By combining these indices, the total flow regime impact factor (IF) was scaled between 0 and 1, and classified into five groups: Low (0.80<IF<1.0), Incipient (0.60<IF<0.80), Moderate (0.40<IF<0.60), Severe (0.2<IF<0.40), and Drastic (0.0<IF<0.20). Flow regime impact maps were then created for 1941–1955, 1960–1970, 1975–1984, and 1990–2000. These revealed that, over time, the impact has extended along the basin from downstream to upstream, with a significant flow regime change from 1941–1955 to 1990–2000 in the Tigris, Euphrates, and Arvandroud. Analysis of remote sensing data revealed that the change in the flow regime has led to land degradation in the Arvandroud estuary during the past 46 years (1972–2018). In addition, the impact of the Iran–Iraq war (based on degradation of vegetation cover between 1985 and 1988) is 5.1 times of mean rate of change during 1972–2018. This study thus contributes new information on estuaries and the impact of upstream land and water use change.

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The effects of extremes and temporal scale on multifractal properties of river flow time series

Cited by 11 publications

References 46 publications

Identification of Fractal Properties in Geomagnetic Data of Southeast Asian Region during Various Solar Activity Levels

Identification of Fractal Properties in Geomagnetic Data of Southeast Asian Region during Various Solar Activity Levels

Application of Fractal Dimension in Erosion Susceptibility Analysis of Geological Formations in Arid Areas, the Yazd-Ardakan Catchment of Iran

The impact of river regulation in the Tigris and Euphrates on the Arvandroud Estuary

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