Hydrologic similarity based on width function and hypsometry: An unsupervised learning approach

Bajracharya, Prashanta; Jain, Shaleen

doi:10.1016/j.cageo.2022.105097

Cited by 10 publications

(1 citation statement)

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“…Previous studies commonly employed the 3 rd order polynomials to fit hypsometric curves and then derive hypsometric attributes based on the polynomial function (Harlin, 1978;Luo, (b) (c) 2000). However, it has been shown that the 3 rd order polynomials may not accurately capture the hypsometric curve's intricate shape, and various alternative formulae have been proposed (Bajracharya & Jain, 2022;Liffner et al, 2018;Vanderwaal & Ssegane, 2013). Here, we adopted a 9 th order polynomial function to fit the hypsometric curve, and the five statistical attributes were obtained analytically from the fitted function, thus avoiding the potential numerical errors associated with directly using unsmoothed discrete data.…”

Section: Extraction Of Hypsometric Attributesmentioning

confidence: 99%

Global Comparative Basin Hypsometric Analysis of Earth and Mars: Implications for Early Mars Climate

Fang,

Luo,

Howard

et al. 2024

Preprint

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While there is a consensus that water played at least some role in the formation of various Martian landforms, including valley networks (VNs), the specific mechanisms and climate conditions are still debated. Basin hypsometric curves, reflecting elevation distributions, offer insights into past processes and climates. Our study presents a global-scale comparison of basin hypsometry on Mars, Earth, the Moon, and artificial fractal surfaces. Results indicate Martian VN formation likely occurred under a climate more arid than hyper-arid Earth, or under more humid periods that were short-lived. Differences in hypsometric attributes between Mars and the Moon suggest VN formation on Mars involved precipitation-driven water flow. Additionally, impact cratering significantly influenced Martian surface conditions, potentially disrupting fluvial erosion processes. This comparative analysis sheds light on the complex interplay of climatic factors and geological processes in Martian landscape evolution.

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