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Articles

Vol. 34 No. 2 (2025): Revista Geografia

Application of the global lateral density model UNB_TopoDens in modeling the RTM in the state of Paraná

DOI
https://doi.org/10.5433/2447-1747.2025v34n2p193
Submitted
February 28, 2025
Published
2025-06-26

Abstract

The RTM (or residual effect of topographic modeling) was calculated for the continental part of the state of Paraná, using 2535 points, which are part of a regular 5'x5' grid of spherical arc from the global relief model ETOPO1, associated with lateral density models, UNB_TopoDens (global) and Harkness (average global density 2670 kg/m³). The mathematical model used was Newton's integral for the material point. The RTM for each of the 2535 points considered a neighborhood of points within a circle with a radius of 210 km. The results for the calculated RTMs (for the two different density models) exceeded 2.3 mm (with an average value of about 1.7 mm), indicating the importance of considering RTM in precision altimetric studies. The tested density models, UNB_TopoDens (average density = 2630 kg/m³) and Harkness (average density = 2670 kg/m³), the variable value and the arbitrated average, varied by only 1.5% and had a correlation coefficient of 99.1%.

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