Estimating Fractal Dimension with Shifted Box-Counting Analysis Method a Case Study in Seyhan Basin

Abstract

Fractal Geometry is often used to understand and interpret complex geometries in nature. Basic geometric shapes are not successful in defining objects in nature (mountains, trees, coastlines, etc.). Therefore, the understanding of the shapes that develop due to the repetition of complexity gives the opportunity to have detailed information about their formation. For this reason, fractal dimension analysis helps to establish a relationship by providing information about the complexity levels of unrelated shapes. Shifted Box-Counting Analysis Method is one of the methods used in fractal dimension analysis. In this study, fractal dimension analysis was performed for daily flow data (2017 year) of E18A028 station in Seyhan Basin. The applicability of Shifted Box-Counting Analysis Method on the flow data was tested and the results obtained were interpreted. As a result of the study, it was found that there is a linear relationship for different threshold values, up to ε=180 days. Threshold values are determined as 0, 0.5, 1, 1.5 and 2 times of 2017 average flow values.