Self-Similarity Properties of the Kerch Peninsula Stream Network and Their Comparison with the Results of Structural and Geomorphological Analysis

Захаров, В. С.; Simonov, D. A.; Bryantseva, G. V.; Kosevich, N. I.

doi:10.1134/s0001433819070120

Cited by 7 publications

(6 citation statements)

References 7 publications

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“…When D ≤ 1.6, the watershed is judged to be in its infancy; when 1.6 < D ≤ 1.9, the watershed is judged to be in its prime; when 1.9 < D ≤ 2.0, the watershed is judged to be in old age. Zakharov et al (2019) reconstructed the water system based on the digital elevation model, and used its calculated locally changed fractal dimensions (1~1.53) to explain the formation of riverbeds and valleys [53]. Tunas et al (2016) verified the stability of the fractal dimension based on the fractal characteristics of the watershed [54], and the fractal dimension (1~2) of the water system is basically the same, providing variables for the integrated unit hydrological model.…”

Section: Fractal Dimension Results and Analysismentioning

confidence: 99%

Research on the Model Improvement of a DLA Fractal River Network

Wang

Zhan

et al. 2020

IEEE Access

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Computer simulations are introduced into the river dynamics field to provide a basis for studying fractal river networks. This paper improved on the defects of particle aggregation and growth methods in the standard diffusion-limited aggregation (DLA) model and proposed a fractal algorithm for simulating the evolution of the river network. To correct these defects, this model used watershed geomorphology as the entry point and analyzed the characteristics of runoff classification, aspect probability and contour lines. Thus, the unit-gradient growth calculation method, anisotropic Brownian motion and other related parameter optimization mechanisms (such as probability-position and step size) were established. In addition, the 2D fractal river network was simulated under different conditions. These simulations calculated the bifurcation ratio of the rendering based on Horton's law, and its value was bounded between the values of natural river channels (3 ~ 5). The standard DLA algorithm was used for simulation, but the bifurcation ratio (±5.2) of the aggregate was higher than the value of the natural river network. Therefore, the improved model can reflect the structural characteristics of the river network more realistically based on quantitative indicators. The evolution mechanism of the natural watershed was evaluated by the cyber-physical systems theory, providing a model base to study the growth and evolution of river networks. The fractal dimension of the water system fitted with each simulated subgraph was based on the box counting method. The value boundary was between 1.457 and 1.747, providing a division standard for the development degree of the watershed geomorphology. Further, according to the relationship between the number of particles and the fractal dimension, the sensitivity test of the model was also analyzed and evaluated, and its sensitivity coefficient gradually increased from 2.75 to 8.38 based on a suitable data-set, which will make the predicted watershed water system closer to its development level. Finally, use of the improved DLA model was suggested for modeling river networks.

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Section: Fractal Dimension Results and Analysismentioning

confidence: 99%

Research on the Model Improvement of a DLA Fractal River Network

Wang

Zhan

et al. 2020

IEEE Access

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“…This method is advantageous because it only requires a drainage network, and the calculations are accurate and simple. In fact, fractal geometry is turning into a useful tool for modeling and quantifying the complex nature of the drainage network (Guo et al, 2015;Yang and Shi, 2017;Zakharov et al, 2019). However, it cannot be expected that the lithology and strength of the rock mass will always control the drainage network.…”

Section: Discussionmentioning

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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“…Furthermore, the Kerch Peninsula is not unique solely within the Russian context; it possesses global value in terms of its rich biodiversity and natural beauty [16,[20][21][22]. Therefore, the findings of this research may have far-reaching consequences, being valuable not only for the region but also for the global understanding of the interplay between climate and water resources.…”

Section: Introductionmentioning

confidence: 94%

Assessing Long-Term Lake Dynamics in Response to Climatic Variability: A Comprehensive Statistical Analysis

Krivoguz,

Ioshpa,

Bespalova

et al. 2023

JMSE

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This comprehensive study delves into the intricate relationship between climatic factors and the dynamic changes in lakes across the Kerch Peninsula. By analyzing annual mean temperature, annual mean precipitation, and their impact on lake area, this research uncovers significant insights. Key findings include a strong inverse correlation between rising annual mean temperature and reductions in the lake area. With every 1-degree Celsius increase in temperature, the average lake area decreases by 0.302 square kilometers. The analysis indicates higher temperatures are consistently associated with diminishing lake areas, a trend commonly observed in water bodies. While annual precipitation also influences lake areas, the effect is less pronounced, with a correlation coefficient of 0.141, signifying a positive connection between the two variables. Temporal analysis reveals climate impact exhibits a one-year time lag, meaning changes in the current year’s climate manifest in alterations in lake areas in the subsequent year. Generalized Additive Models provide further insights, emphasizing the complex, non-linear nature of the relationship between climatic factors and lake areas. Pseudo-R2 values for lakes on the Kerch Peninsula range from 0.0913 to 0.2769, indicating the proportion of variability in lake area explained by the models. These values emphasize the significance of essential factors, though some unexplained variability remains. In summary, this research highlights the critical role of climate factors in shaping the dynamics of lakes in the Kerch Peninsula. The findings underscore the need for continued monitoring and adaptive management to address the multifaceted challenges posed by climate change and other contributing factors in this region.

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Self-Similarity Properties of the Kerch Peninsula Stream Network and Their Comparison with the Results of Structural and Geomorphological Analysis

Cited by 7 publications

References 7 publications

Research on the Model Improvement of a DLA Fractal River Network

Research on the Model Improvement of a DLA Fractal River Network

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

Assessing Long-Term Lake Dynamics in Response to Climatic Variability: A Comprehensive Statistical Analysis

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