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Comparative Accuracy of Satellite-Derived Bathymetry Using Random Forest, Multiple Linear Regression, and Van Hengel and Spitzer Algorithm

JURNAL GEOCELEBES · Vol. 10 No. 1 (2026) · pp. 48–68

DOI
10.70561/geocelebes.v10i1.43582
ISSN
2579-5546, 2579-5821
Published
2026-04-01
Publisher
Departemen Geofisika, FMIPA - Universitas Hasanuddin, Makassar
Language
en
License
creativecommons.org/licenses/by-nc-sa/4.0

Abstract

Bathymetry mapping using conventional methods faces limitations in shallow waters. With the development of remote sensing technology, satellite-derived bathymetry (SDB) emerges as an alternative by utilizing wavelengths that penetrate water and capture depth information. This study compares the performance of three empirical SDB methods: Random Forest (RF), Multiple Linear Regression (MLR), and the Van Hengel and Spitzer (VHS) algorithm. SPOT 6 ORTHO-level satellite imagery and depth data from single beam echosounder measurements were used to construct the depth models. Model accuracy was evaluated using root mean square error (RMSE), mean absolute error (MAE), and total vertical uncertainty (TVU). Results show that the RF method achieves the highest accuracy across most depth ranges (1–5 m, 5–10 m, and 10–15 m), while the VHS algorithm performs best at 0–1 m. At depths beyond 15 meters, MLR shows relatively better performance compared to other methods, although overall uncertainty remains high. Based on the coefficient of determination (R2), RF achieves the best result with a value of 0.610, followed by MLR with 0.462, and VHS with 0.313. These findings highlight the superior adaptability of the RF method in estimating bathymetry across varying depth zones using optical satellite imagery.

Keywords

Collaboration network of the authors

13 authors · 30 co-authorship links

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Co-authorOrganisationJoint articles
Haidir JibranAffiliation unknown1
Nur Hidayat NurdinAffiliation unknown1
William Desmond TonapaAffiliation unknown1
Ashar SaeAffiliation unknown1
Samsu ArifAffiliation unknown1
A. Muh. Imran IsmailAffiliation unknown1
Aza AzzahraAffiliation unknown1
Wikal WikalAffiliation unknown1

Affiliations come from OpenAlex; journal OAI-PMH metadata carries none. Authors without an OpenAlex ID are matched by name, which can merge or split people.

Metadata source: OAI-PMH (metadata jurnal) https://journal.unhas.ac.id/index.php/geocelebes/oai, first harvested 3 Nov 2026, last seen 3 Nov 2026.
Original metadata (oai_dc)
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	<dc:title xml:lang="en">Comparative Accuracy of Satellite-Derived Bathymetry Using Random Forest, Multiple Linear Regression, and Van Hengel and Spitzer Algorithm</dc:title>
	<dc:creator xml:lang="en">Apriliansyah, Fathurrahman</dc:creator>
	<dc:creator xml:lang="en">Nuha, Muhammad Ulin</dc:creator>
	<dc:creator xml:lang="en">Atmojo, Aulia Try</dc:creator>
	<dc:creator xml:lang="en">Setiawan, Kuncoro Teguh</dc:creator>
	<dc:creator xml:lang="en">Syafnur, Aswar</dc:creator>
	<dc:subject xml:lang="en">Multiple Linear Regression</dc:subject>
	<dc:subject xml:lang="en">Random Forest</dc:subject>
	<dc:subject xml:lang="en">Satellite-Derived Bathymetry</dc:subject>
	<dc:subject xml:lang="en">Van Hengel and Spitzer Algorithm</dc:subject>
	<dc:description xml:lang="en">Bathymetry mapping using conventional methods faces limitations in shallow waters. With the development of remote sensing technology, satellite-derived bathymetry (SDB) emerges as an alternative by utilizing wavelengths that penetrate water and capture depth information. This study compares the performance of three empirical SDB methods: Random Forest (RF), Multiple Linear Regression (MLR), and the Van Hengel and Spitzer (VHS) algorithm. SPOT 6 ORTHO-level satellite imagery and depth data from single beam echosounder measurements were used to construct the depth models. Model accuracy was evaluated using root mean square error (RMSE), mean absolute error (MAE), and total vertical uncertainty (TVU). Results show that the RF method achieves the highest accuracy across most depth ranges (1–5 m, 5–10 m, and 10–15 m), while the VHS algorithm performs best at 0–1 m. At depths beyond 15 meters, MLR shows relatively better performance compared to other methods, although overall uncertainty remains high. Based on the coefficient of determination (R2), RF achieves the best result with a value of 0.610, followed by MLR with 0.462, and VHS with 0.313. These findings highlight the superior adaptability of the RF method in estimating bathymetry across varying depth zones using optical satellite imagery.</dc:description>
	<dc:publisher xml:lang="en">Departemen Geofisika, FMIPA - Universitas Hasanuddin, Makassar</dc:publisher>
	<dc:date>2026-04-01</dc:date>
	<dc:type>info:eu-repo/semantics/article</dc:type>
	<dc:type>info:eu-repo/semantics/publishedVersion</dc:type>
	<dc:type xml:lang="en">Peer-reviewed Article</dc:type>
	<dc:format>application/pdf</dc:format>
	<dc:identifier>https://journal.unhas.ac.id/index.php/geocelebes/article/view/43582</dc:identifier>
	<dc:identifier>10.70561/geocelebes.v10i1.43582</dc:identifier>
	<dc:source xml:lang="en">JURNAL GEOCELEBES; Vol. 10 No. 1: April 2026; 48–68</dc:source>
	<dc:source>2579-5546</dc:source>
	<dc:source>2579-5821</dc:source>
	<dc:language>en</dc:language>
	<dc:relation>https://journal.unhas.ac.id/index.php/geocelebes/article/view/43582/14256</dc:relation>
	<dc:rights xml:lang="en">Copyright (c) 2026 JURNAL GEOCELEBES</dc:rights>
	<dc:rights xml:lang="en">https://creativecommons.org/licenses/by-nc-sa/4.0</dc:rights>
</oai_dc:dc>