Analisis Kejadian Gempa Bumi Tektonik di Wilayah Pulau Sumatera

The purpose of this study to get an overview of the earthquakes in Sumatra. The method used is descriptive statistics and models Autoregressive Fractionally Integrated Moving Average (ARFIMA). The result from analysis data yielded a mathematical model to predict the amount of tectonic earthquakes th...

Full description

Bibliographic Details
Main Authors: Jose Rizal, Sigit Nugroho, Adi Irwanto, , Debora
Format: Article
Language:English
Published: Universitas Udayana 2016-06-01
Series:Jurnal Matematika
Subjects:
Online Access:https://ojs.unud.ac.id/index.php/jmat/article/view/25348
_version_ 1811325330677301248
author Jose Rizal
Sigit Nugroho
Adi Irwanto
, Debora
author_facet Jose Rizal
Sigit Nugroho
Adi Irwanto
, Debora
author_sort Jose Rizal
collection DOAJ
description The purpose of this study to get an overview of the earthquakes in Sumatra. The method used is descriptive statistics and models Autoregressive Fractionally Integrated Moving Average (ARFIMA). The result from analysis data yielded a mathematical model to predict the amount of tectonic earthquakes that occur every month in Sumatra is ARFIMA (4,0.350,3) with a value of RMSE is 0,040??. While the best model for the average magnitude of the many tectonic earthquakes that occur every month in Sumatra is ARFIMA (1,0.310,3) with a value of RMSE is 0.013. Based on the model results obtained forecast frequency earthquake and the average magnitude for the three periods ahead, namely the first period 21 times with an average magnitude is 4,91 SR , the second period will occur 14 times with an average magnitude is 4.94 SR and the third period will occur 20 times with an average magnitude is 4,96 SR.
first_indexed 2024-04-13T14:31:16Z
format Article
id doaj.art-03319798adc64a179f5bba6e77aea474
institution Directory Open Access Journal
issn 1693-1394
language English
last_indexed 2024-04-13T14:31:16Z
publishDate 2016-06-01
publisher Universitas Udayana
record_format Article
series Jurnal Matematika
spelling doaj.art-03319798adc64a179f5bba6e77aea4742022-12-22T02:43:11ZengUniversitas UdayanaJurnal Matematika1693-13942016-06-016111410.24843/JMAT.2016.v06.i01.p6325348Analisis Kejadian Gempa Bumi Tektonik di Wilayah Pulau SumateraJose Rizal0Sigit Nugroho1Adi Irwanto2, Debora3Program Studi Matematika, Jurusan Matematika Fakultas Matematika dan Ilmu Pengetahuan Alam, Universitas BengkuluProgram Studi Statistika, Jurusan Matematika Fakultas Matematika dan Ilmu Pengetahuan Alam, Universitas BengkuluProgram Studi Matematika, Jurusan Matematika Fakultas Matematika dan Ilmu Pengetahuan Alam, Universitas BengkuluProgram Studi Matematika, Jurusan Matematika Fakultas Matematika dan Ilmu Pengetahuan Alam, Universitas BengkuluThe purpose of this study to get an overview of the earthquakes in Sumatra. The method used is descriptive statistics and models Autoregressive Fractionally Integrated Moving Average (ARFIMA). The result from analysis data yielded a mathematical model to predict the amount of tectonic earthquakes that occur every month in Sumatra is ARFIMA (4,0.350,3) with a value of RMSE is 0,040??. While the best model for the average magnitude of the many tectonic earthquakes that occur every month in Sumatra is ARFIMA (1,0.310,3) with a value of RMSE is 0.013. Based on the model results obtained forecast frequency earthquake and the average magnitude for the three periods ahead, namely the first period 21 times with an average magnitude is 4,91 SR , the second period will occur 14 times with an average magnitude is 4.94 SR and the third period will occur 20 times with an average magnitude is 4,96 SR.https://ojs.unud.ac.id/index.php/jmat/article/view/25348EarthquakesTectonicARFIMA modelsForecastingRMSE
spellingShingle Jose Rizal
Sigit Nugroho
Adi Irwanto
, Debora
Analisis Kejadian Gempa Bumi Tektonik di Wilayah Pulau Sumatera
Jurnal Matematika
Earthquakes
Tectonic
ARFIMA models
Forecasting
RMSE
title Analisis Kejadian Gempa Bumi Tektonik di Wilayah Pulau Sumatera
title_full Analisis Kejadian Gempa Bumi Tektonik di Wilayah Pulau Sumatera
title_fullStr Analisis Kejadian Gempa Bumi Tektonik di Wilayah Pulau Sumatera
title_full_unstemmed Analisis Kejadian Gempa Bumi Tektonik di Wilayah Pulau Sumatera
title_short Analisis Kejadian Gempa Bumi Tektonik di Wilayah Pulau Sumatera
title_sort analisis kejadian gempa bumi tektonik di wilayah pulau sumatera
topic Earthquakes
Tectonic
ARFIMA models
Forecasting
RMSE
url https://ojs.unud.ac.id/index.php/jmat/article/view/25348
work_keys_str_mv AT joserizal analisiskejadiangempabumitektonikdiwilayahpulausumatera
AT sigitnugroho analisiskejadiangempabumitektonikdiwilayahpulausumatera
AT adiirwanto analisiskejadiangempabumitektonikdiwilayahpulausumatera
AT debora analisiskejadiangempabumitektonikdiwilayahpulausumatera