International Journal of
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Research Article Volume 9 Issue 4
Calculation method for the classification of water basins shape within a specific basins set
Carlos Eugenio Pereira, Guilherme Cavallari Bueno
Received: November 10, 2025 | Published: December 24, 2025
Citation: Pereira CE, Bueno GC. Calculation method for the classification of water basins shape within a specific basins set. Int J Hydro. 2025;9(5):180-187. DOI: 10.15406/ijh.2025.09.00419
Abstract
This paper relies on concepts from analytical geometry, differential and integral calculus, and statistics to develop a calculation script to analyze watersheds vis-à-vis their shapes. Said script consists of determining whether or not each watershed studied has a shape the deviates from the average behavior of the set. For this purpose, the method considers the approximation of the shape of each basin by ellipses, so that the semi-axes of the determined ellipses are the input parameters of the tool. The sequence of equations to be adopted is based on the existence of a trend line that reflects the average behavior of the set, while each scattered point corresponds to the shape condition of a basin. Applying the method to a group of neighboring basins located in Serra da Mantiqueira showed that the projections can produce different results, and also demonstrated that the script could be used with relative practicality.
Keywords: average behavior, ellipses, trend line, projections, method application
©2025 Pereira, et al. This is an open access article distributed under the terms of the, which permits unrestricted use, distribution, and build upon your work non-commercially.