Self-Similarity Pattern Corresponding to the Vegetational Field Data

Background/Objectives: A study was conducted to observe the self-similarity pattern exhibited within the vegetational field due to their nutritional sharing channels. Methods/Statistical Analysis: A square grid matrix was chosen in the cultivated fields to draw the sample data of the biological as well as environmental variables. Grid matrix was further divided into one hundred and forty -four subareas of 1.2 by 1.2-meter square. Data were analyzed based on a Box-counting method to determine the fractal dimension in each class. Findings: Highest dimension was found to be 2.48 in class one which consists of 144 small grids. Whereas, the lowest dimension found to be 1.03 in class 4. The pattern of the fractal dimension of various classes seems to be self-similar within the vegetational field. Application/Improvements: Vegetational fields share several materials through the nutritional channels within the grid matrix. We observed the pattern in different scales using fractal dimension and found to be the self-similar pattern in all scales. Keywords: Box-Counting Method, Fractal Dimension, Self-Similar Pattern