Entropy Based Modelling for Estimating Demographic Trends

In this paper, an entropy-based method is proposed to forecast the demographical changes of countries. We formulate the estimation of future demographical profiles as a constrained optimization problem, anchored on the empirically validated assumption that the entropy of age distribution is increasi...

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Main Authors: Li, Guoqi, Zhao, Daxuan, Xu, Yi, Kuo, Shyh-Hao, Xu, Hai-Yan, Hu, Nan, Zhao, Guangshe, Monterola, Christopher
Format: Online
Language:English
Published: Public Library of Science 2015
Online Access:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4575178/
id pubmed-4575178
recordtype oai_dc
spelling pubmed-45751782015-09-25 Entropy Based Modelling for Estimating Demographic Trends Li, Guoqi Zhao, Daxuan Xu, Yi Kuo, Shyh-Hao Xu, Hai-Yan Hu, Nan Zhao, Guangshe Monterola, Christopher Research Article In this paper, an entropy-based method is proposed to forecast the demographical changes of countries. We formulate the estimation of future demographical profiles as a constrained optimization problem, anchored on the empirically validated assumption that the entropy of age distribution is increasing in time. The procedure of the proposed method involves three stages, namely: 1) Prediction of the age distribution of a country’s population based on an “age-structured population model”; 2) Estimation the age distribution of each individual household size with an entropy-based formulation based on an “individual household size model”; and 3) Estimation the number of each household size based on a “total household size model”. The last stage is achieved by projecting the age distribution of the country’s population (obtained in stage 1) onto the age distributions of individual household sizes (obtained in stage 2). The effectiveness of the proposed method is demonstrated by feeding real world data, and it is general and versatile enough to be extended to other time dependent demographic variables. Public Library of Science 2015-09-18 /pmc/articles/PMC4575178/ /pubmed/26382594 http://dx.doi.org/10.1371/journal.pone.0137324 Text en © 2015 Li et al http://creativecommons.org/licenses/by/4.0/ This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are properly credited.
repository_type Open Access Journal
institution_category Foreign Institution
institution US National Center for Biotechnology Information
building NCBI PubMed
collection Online Access
language English
format Online
author Li, Guoqi
Zhao, Daxuan
Xu, Yi
Kuo, Shyh-Hao
Xu, Hai-Yan
Hu, Nan
Zhao, Guangshe
Monterola, Christopher
spellingShingle Li, Guoqi
Zhao, Daxuan
Xu, Yi
Kuo, Shyh-Hao
Xu, Hai-Yan
Hu, Nan
Zhao, Guangshe
Monterola, Christopher
Entropy Based Modelling for Estimating Demographic Trends
author_facet Li, Guoqi
Zhao, Daxuan
Xu, Yi
Kuo, Shyh-Hao
Xu, Hai-Yan
Hu, Nan
Zhao, Guangshe
Monterola, Christopher
author_sort Li, Guoqi
title Entropy Based Modelling for Estimating Demographic Trends
title_short Entropy Based Modelling for Estimating Demographic Trends
title_full Entropy Based Modelling for Estimating Demographic Trends
title_fullStr Entropy Based Modelling for Estimating Demographic Trends
title_full_unstemmed Entropy Based Modelling for Estimating Demographic Trends
title_sort entropy based modelling for estimating demographic trends
description In this paper, an entropy-based method is proposed to forecast the demographical changes of countries. We formulate the estimation of future demographical profiles as a constrained optimization problem, anchored on the empirically validated assumption that the entropy of age distribution is increasing in time. The procedure of the proposed method involves three stages, namely: 1) Prediction of the age distribution of a country’s population based on an “age-structured population model”; 2) Estimation the age distribution of each individual household size with an entropy-based formulation based on an “individual household size model”; and 3) Estimation the number of each household size based on a “total household size model”. The last stage is achieved by projecting the age distribution of the country’s population (obtained in stage 1) onto the age distributions of individual household sizes (obtained in stage 2). The effectiveness of the proposed method is demonstrated by feeding real world data, and it is general and versatile enough to be extended to other time dependent demographic variables.
publisher Public Library of Science
publishDate 2015
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4575178/
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