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

Authors

DOI:

https://doi.org/10.5433/2447-1747.2025v34n2p193

Keywords:

RTM, Newton's Integral, lateral density

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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Author Biography

Roosevelt de Lara Santos Junior, Federal University of Rio Grande do Sul

Professor da Universidade Federal do Rio Grande do Sul - UFRGS, Instituto de Geociências, Departamento de Geodesia. Doutorado no Curso de Pós-Graduação em Ciências Geodésicas pela Universidade Federal do Paraná (UFPR).

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Published

2025-06-26

How to Cite

Santos Junior, R. de L. (2025). Application of the global lateral density model UNB_TopoDens in modeling the RTM in the state of Paraná. Geografia (Londrina), 34(2), 193–206. https://doi.org/10.5433/2447-1747.2025v34n2p193