Pyramid Population Prediction using Age Structure Model

Population composition in a country by sex and age-structure often illustrated through the Population Pyramid. In this study, an age-structure model will be constructed to predict the population pyramid shape in the coming year. It is assumed that changes in population are affected by natality and m...

Full description

Bibliographic Details
Main Authors: Heni Widayani, Nuning Nuraini, Anita Triska
Format: Article
Language:English
Published: Mathematics Department UIN Maulana Malik Ibrahim Malang 2020-05-01
Series:Cauchy: Jurnal Matematika Murni dan Aplikasi
Subjects:
Online Access:https://ejournal.uin-malang.ac.id/index.php/Math/article/view/8859
_version_ 1811249760600850432
author Heni Widayani
Nuning Nuraini
Anita Triska
author_facet Heni Widayani
Nuning Nuraini
Anita Triska
author_sort Heni Widayani
collection DOAJ
description Population composition in a country by sex and age-structure often illustrated through the Population Pyramid. In this study, an age-structure model will be constructed to predict the population pyramid shape in the coming year. It is assumed that changes in population are affected by natality and mortality number in each age group, ignoring migration rates. The proposed age structure model formulated as a first-order partial differential equation with the non-negative initial condition. The boundary condition is given by the number of births which is proportional to the number of women at childbearing age. Then, this age structure model implemented utilizing United Nations Data to predict population pyramids of Indonesia, Brazil, Japan, the USA, and Russia. The population pyramid prediction of the five countries shows different characteristics, according to whether it is a developing or developed country. The results of this study indicate that the age structure model can be used to predict the composition of the population in a country in the next few years. Indonesia is predicted to be the highest populated country in 2066, compared to the other four countries. This result can be used as a reference for the government to plan policies and strategies according to age groups to control population explosion in the future.
first_indexed 2024-04-12T15:53:16Z
format Article
id doaj.art-d15208f04ad64285bb2b2238eababfdd
institution Directory Open Access Journal
issn 2086-0382
2477-3344
language English
last_indexed 2024-04-12T15:53:16Z
publishDate 2020-05-01
publisher Mathematics Department UIN Maulana Malik Ibrahim Malang
record_format Article
series Cauchy: Jurnal Matematika Murni dan Aplikasi
spelling doaj.art-d15208f04ad64285bb2b2238eababfdd2022-12-22T03:26:27ZengMathematics Department UIN Maulana Malik Ibrahim MalangCauchy: Jurnal Matematika Murni dan Aplikasi2086-03822477-33442020-05-0162667610.18860/ca.v6i2.88595019Pyramid Population Prediction using Age Structure ModelHeni Widayani0Nuning Nuraini1Anita Triska2Department of Mathematics Faculty of Mathematics and Natural Sciences Institut Teknologi BandungDepartment of Mathematics Faculty of Mathematics and Natural Sciences Institut Teknologi BandungDepartment of Mathematics Faculty of Mathematics and Natural Sciences Institut Teknologi BandungPopulation composition in a country by sex and age-structure often illustrated through the Population Pyramid. In this study, an age-structure model will be constructed to predict the population pyramid shape in the coming year. It is assumed that changes in population are affected by natality and mortality number in each age group, ignoring migration rates. The proposed age structure model formulated as a first-order partial differential equation with the non-negative initial condition. The boundary condition is given by the number of births which is proportional to the number of women at childbearing age. Then, this age structure model implemented utilizing United Nations Data to predict population pyramids of Indonesia, Brazil, Japan, the USA, and Russia. The population pyramid prediction of the five countries shows different characteristics, according to whether it is a developing or developed country. The results of this study indicate that the age structure model can be used to predict the composition of the population in a country in the next few years. Indonesia is predicted to be the highest populated country in 2066, compared to the other four countries. This result can be used as a reference for the government to plan policies and strategies according to age groups to control population explosion in the future.https://ejournal.uin-malang.ac.id/index.php/Math/article/view/8859population pyramid, prediction, age-structure model
spellingShingle Heni Widayani
Nuning Nuraini
Anita Triska
Pyramid Population Prediction using Age Structure Model
Cauchy: Jurnal Matematika Murni dan Aplikasi
population pyramid, prediction, age-structure model
title Pyramid Population Prediction using Age Structure Model
title_full Pyramid Population Prediction using Age Structure Model
title_fullStr Pyramid Population Prediction using Age Structure Model
title_full_unstemmed Pyramid Population Prediction using Age Structure Model
title_short Pyramid Population Prediction using Age Structure Model
title_sort pyramid population prediction using age structure model
topic population pyramid, prediction, age-structure model
url https://ejournal.uin-malang.ac.id/index.php/Math/article/view/8859
work_keys_str_mv AT heniwidayani pyramidpopulationpredictionusingagestructuremodel
AT nuningnuraini pyramidpopulationpredictionusingagestructuremodel
AT anitatriska pyramidpopulationpredictionusingagestructuremodel