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ESTIMATING EARTHQUAKE MAGNITUDE USING SPATIAL INTERPOLATION WITH THE INVERSE DISTANCE WEIGHTING AND ORDINARY KRIGING APPROACH

BAREKENG: Jurnal Ilmu Matematika dan Terapan · Vol. 19 No. 2 (2025) · pp. 937–948

DOI
10.30598/barekengvol19iss2pp937-948
ISSN
2615-3017, 1978-7227
Published
2025-04-01
Publisher
PATTIMURA UNIVERSITY
Language
eng
License
creativecommons.org/licenses/by-sa/4.0

Abstract

The West Java region is known for its high disaster vulnerability, particularly to earthquakes, due to the presence of many active faults. Based on this, information is needed as an initial step for disaster mitigation to reduce disaster risk and guarantee community safety in the West Java region, one of which is by carrying out spatial interpolation. In this study, the Inverse Distance Weighted (IDW) and Ordinary Kriging (OK) methods were used. The research sample included data on earthquake magnitude in West Java within the same coordinate range, from 01 January 2022 to 31 December 2022. This research was conducted to find out a more precise spatial interpolation method in estimating the strength of the earthquake in West Java in 2022. From the OK analysis results, the best theoretical semivariogram model was obtained, namely the Exponential model with nugget, sill and range values ​​of 0.07, 0.12 and 11451 meters. From the results of the IDW analysis, the best power value parameter was obtained, namely 2. This research was conducted to develop a more precise spatial interpolation method for estimating earthquake strength in West Java in 2022. The OK method results indicated that most of the West Java region has the potential for earthquakes with a magnitude of around 1.5 to 4.0, while the IDW method suggested a potential magnitude of around 2.0 to 4.0. The potential for a high-magnitude earthquake is in Kp. Cileuley, Garumukti, Pamulihan District, Garut Regency, West Java. Based on the results of Holdout Cross Validation, the IDW method is the best for estimating earthquake magnitude in West Java, with a MAPE value of 17.8%. The IDW method's estimation of earthquake magnitude is superior to OK, with smaller MAPE and MAE values.

Collaboration network of the authors

24 authors · 38 co-authorship links

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  • Islamic University of Indonesia
  • Affiliation unknown
  • Different organisations
  • Same organisation
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Co-authorOrganisationJoint articles
Nahdah Ghina HandayaniIslamic University of Indonesia1
Rusli RusliAffiliation unknown1
Zaraswati DwyanaAffiliation unknown1
Rinaldi SjahrilAffiliation unknown1
A. Sri Sartika Sufiina AhmadAffiliation unknown1
Herlinda YanasariAffiliation unknown1
Muh. Yunus SuriaAffiliation unknown1
Nur Qadri FebriantiAffiliation unknown1
Nur FaizinAffiliation unknown1
Arum Handini PrimandariAffiliation unknown1
Muhammad BariklanaAffiliation unknown1
Octavia RahmawatiAffiliation unknown1
Nanda Lailatul HumairahAffiliation unknown1
Ashabul Akbar MaulanaAffiliation unknown1
Alfa YulianaAffiliation unknown1
Nabila Dwi FaziraAffiliation unknown1
IKA MEIZA MAHARANIAffiliation unknown1
Mega Luna SuliztiaAffiliation unknown1
Malecita Nur Atala SinggihAffiliation unknown1
Shazia Ayesha AzzahraAffiliation unknown1
Wiranti Nugrah AndiniAffiliation unknown1
Irwan SutisnaAffiliation 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://ojs3.unpatti.ac.id/index.php/barekeng/oai, first harvested 5 Nov 2026, last seen 5 Nov 2026.
Original metadata (oai_dc) 
<oai_dc:dc xmlns="http://www.openarchives.org/OAI/2.0/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/  http://www.openarchives.org/OAI/2.0/oai_dc.xsd">
	<dc:title xml:lang="en-US">ESTIMATING EARTHQUAKE MAGNITUDE USING SPATIAL INTERPOLATION WITH THE INVERSE DISTANCE WEIGHTING AND ORDINARY KRIGING APPROACH</dc:title>
	<dc:creator>Amalia, Fitri</dc:creator>
	<dc:creator>Fauzan, Achmad</dc:creator>
	<dc:description xml:lang="en-US">The West Java region is known for its high disaster vulnerability, particularly to earthquakes, due to the presence of many active faults. Based on this, information is needed as an initial step for disaster mitigation to reduce disaster risk and guarantee community safety in the West Java region, one of which is by carrying out spatial interpolation. In this study, the Inverse Distance Weighted (IDW) and Ordinary Kriging (OK) methods were used. The research sample included data on earthquake magnitude in West Java within the same coordinate range, from 01 January 2022 to 31 December 2022. This research was conducted to find out a more precise spatial interpolation method in estimating the strength of the earthquake in West Java in 2022. From the OK analysis results, the best theoretical semivariogram model was obtained, namely the Exponential model with nugget, sill and range values ​​of 0.07, 0.12 and 11451 meters. From the results of the IDW analysis, the best power value parameter was obtained, namely 2. This research was conducted to develop a more precise spatial interpolation method for estimating earthquake strength in West Java in 2022. The OK method results indicated that most of the West Java region has the potential for earthquakes with a magnitude of around 1.5 to 4.0, while the IDW method suggested a potential magnitude of around 2.0 to 4.0. The potential for a high-magnitude earthquake is in Kp. Cileuley, Garumukti, Pamulihan District, Garut Regency, West Java. Based on the results of Holdout Cross Validation, the IDW method is the best for estimating earthquake magnitude in West Java, with a MAPE value of 17.8%. The IDW method's estimation of earthquake magnitude is superior to OK, with smaller MAPE and MAE values.</dc:description>
	<dc:publisher xml:lang="en-US">PATTIMURA UNIVERSITY</dc:publisher>
	<dc:date>2025-04-01</dc:date>
	<dc:type>info:eu-repo/semantics/article</dc:type>
	<dc:type>info:eu-repo/semantics/publishedVersion</dc:type>
	<dc:format>application/pdf</dc:format>
	<dc:identifier>https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/14903</dc:identifier>
	<dc:identifier>10.30598/barekengvol19iss2pp937-948</dc:identifier>
	<dc:source xml:lang="en-US">BAREKENG: Jurnal Ilmu Matematika dan Terapan; Vol 19 No 2 (2025): BAREKENG: Journal of Mathematics and Its Application; 937-948</dc:source>
	<dc:source>2615-3017</dc:source>
	<dc:source>1978-7227</dc:source>
	<dc:source>10.30598/barekengvol19iss2year2025</dc:source>
	<dc:language>eng</dc:language>
	<dc:relation>https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/14903/9884</dc:relation>
	<dc:rights xml:lang="en-US">Copyright (c) 2025 Fitri Amalia, Achmad Fauzan</dc:rights>
	<dc:rights xml:lang="en-US">http://creativecommons.org/licenses/by-sa/4.0</dc:rights>
</oai_dc:dc>