Markov chains analysis and mechanism of migration in Indonesia in the period 1980-2010

The aims of this study are to find the Markov Chain model for the migration in Indonesia, to find the properties of the transition probability matrices, to find the stationary probability, and to find the behavior of the mechanism of the migration in 1980,1990, 2000, 2010 and the combined data fro...

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Main Authors:	Usman, Mustofa, Elfaki, Faiz Ahmed Mohamed, Barusman, Yusuf, Widiarti, Widiarti, Sofya , Ayu
Format:	Article
Language:	English
Published:	Asian Research Publishing Network (ARPN) 2015
Subjects:	QA Mathematics
Online Access:	http://irep.iium.edu.my/46644/ http://irep.iium.edu.my/46644/1/Mustofa_ARPN_December_2015.pdf

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recordtype	eprints
spelling	iium-466442016-05-12T02:47:47Z http://irep.iium.edu.my/46644/ Markov chains analysis and mechanism of migration in Indonesia in the period 1980-2010 Usman, Mustofa Elfaki, Faiz Ahmed Mohamed Barusman, Yusuf Widiarti, Widiarti Sofya , Ayu QA Mathematics The aims of this study are to find the Markov Chain model for the migration in Indonesia, to find the properties of the transition probability matrices, to find the stationary probability, and to find the behavior of the mechanism of the migration in 1980,1990, 2000, 2010 and the combined data from 1980 to 2010. In the Markov Chain model the states are Sumatra, Jawa, Kalimantan, Sulawesi, and Maluku and Papua and are abbreviated as S, J, K, SL and OI respectively. From the transition probability matrices, the states are communicated to each other and irreducible. From the results of analysis, there are similar stationary probability within the states Jawa, Sulawesi and Maluku and Papua, but slightly change in the Sumatra and Kalimantan. From the stationary probability results it shows that in the long run that the stationary probability of migration enter Sumatra decrease from 0.3895 in 1980 to 0.2720 in 2010. On the other hand, the stationary probability of migration enter Kalimantan increase from 0.0726 in 1980 to 0.1537 in 2010. From the analysis of mechanism of migration in 1980,1990, 2000 and 2010. Jawa becomes the main destination of migration from other islands. The people from Sumatra, if they migrate high probability they will migrate to Jawa. On the other hand, the people from Jawa, if they migrate high probability they will migrate to Sumatra. The people from Kalimantan, if they migrate high probability they will migrate to Jawa or Sulawesi in 1980 and in 2010, but high probability only to Jawa in 1990 and in 2000. The people from Sulawesi, if they migrate high probability they will migrate to Jawa, Kalimantan or Maluku and Papua in 1980 and in 1990, but in 2000 and in 2010, high probability they will migrate to Kalimantan and Maluku and Papua. The people from Maluku and Papua, if they migrate high probability they will migrate to Sulawesi or Jawa. Asian Research Publishing Network (ARPN) 2015-12-10 Article PeerReviewed application/pdf en http://irep.iium.edu.my/46644/1/Mustofa_ARPN_December_2015.pdf Usman, Mustofa and Elfaki, Faiz Ahmed Mohamed and Barusman, Yusuf and Widiarti, Widiarti and Sofya , Ayu (2015) Markov chains analysis and mechanism of migration in Indonesia in the period 1980-2010. ARPN Journal of Engineering and Applied Sciences, 10 (22). pp. 17256-17264. ISSN 1819-6608
repository_type	Digital Repository
institution_category	Local University
institution	International Islamic University Malaysia
building	IIUM Repository
collection	Online Access
language	English
topic	QA Mathematics
spellingShingle	QA Mathematics Usman, Mustofa Elfaki, Faiz Ahmed Mohamed Barusman, Yusuf Widiarti, Widiarti Sofya , Ayu Markov chains analysis and mechanism of migration in Indonesia in the period 1980-2010
description	The aims of this study are to find the Markov Chain model for the migration in Indonesia, to find the properties of the transition probability matrices, to find the stationary probability, and to find the behavior of the mechanism of the migration in 1980,1990, 2000, 2010 and the combined data from 1980 to 2010. In the Markov Chain model the states are Sumatra, Jawa, Kalimantan, Sulawesi, and Maluku and Papua and are abbreviated as S, J, K, SL and OI respectively. From the transition probability matrices, the states are communicated to each other and irreducible. From the results of analysis, there are similar stationary probability within the states Jawa, Sulawesi and Maluku and Papua, but slightly change in the Sumatra and Kalimantan. From the stationary probability results it shows that in the long run that the stationary probability of migration enter Sumatra decrease from 0.3895 in 1980 to 0.2720 in 2010. On the other hand, the stationary probability of migration enter Kalimantan increase from 0.0726 in 1980 to 0.1537 in 2010. From the analysis of mechanism of migration in 1980,1990, 2000 and 2010. Jawa becomes the main destination of migration from other islands. The people from Sumatra, if they migrate high probability they will migrate to Jawa. On the other hand, the people from Jawa, if they migrate high probability they will migrate to Sumatra. The people from Kalimantan, if they migrate high probability they will migrate to Jawa or Sulawesi in 1980 and in 2010, but high probability only to Jawa in 1990 and in 2000. The people from Sulawesi, if they migrate high probability they will migrate to Jawa, Kalimantan or Maluku and Papua in 1980 and in 1990, but in 2000 and in 2010, high probability they will migrate to Kalimantan and Maluku and Papua. The people from Maluku and Papua, if they migrate high probability they will migrate to Sulawesi or Jawa.
format	Article
author	Usman, Mustofa Elfaki, Faiz Ahmed Mohamed Barusman, Yusuf Widiarti, Widiarti Sofya , Ayu
author_facet	Usman, Mustofa Elfaki, Faiz Ahmed Mohamed Barusman, Yusuf Widiarti, Widiarti Sofya , Ayu
author_sort	Usman, Mustofa
title	Markov chains analysis and mechanism of migration in Indonesia in the period 1980-2010
title_short	Markov chains analysis and mechanism of migration in Indonesia in the period 1980-2010
title_full	Markov chains analysis and mechanism of migration in Indonesia in the period 1980-2010
title_fullStr	Markov chains analysis and mechanism of migration in Indonesia in the period 1980-2010
title_full_unstemmed	Markov chains analysis and mechanism of migration in Indonesia in the period 1980-2010
title_sort	markov chains analysis and mechanism of migration in indonesia in the period 1980-2010
publisher	Asian Research Publishing Network (ARPN)
publishDate	2015
url	http://irep.iium.edu.my/46644/ http://irep.iium.edu.my/46644/1/Mustofa_ARPN_December_2015.pdf
first_indexed	2023-09-18T21:06:24Z
last_indexed	2023-09-18T21:06:24Z
_version_	1777410962461032448

Markov chains analysis and mechanism of migration in Indonesia in the period 1980-2010

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