Mathematical Modeling of the Propagation of Democratic Support of Extreme Ideologies in Spain: Causes, Effects, and Recommendations for Its Stop

This paper deals with the construction of a discrete population mathematical model for the short-term forecast until January 2016 of the electoral support of extreme ideology parties in Spain. Firstly, the nontrivial concept of extreme ideology is stated. Then, the electoral register is split in thr...

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Main Authors: E. De la Poza, L. Jódar, A. Pricop
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/729814
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author E. De la Poza
L. Jódar
A. Pricop
author_facet E. De la Poza
L. Jódar
A. Pricop
author_sort E. De la Poza
collection DOAJ
description This paper deals with the construction of a discrete population mathematical model for the short-term forecast until January 2016 of the electoral support of extreme ideology parties in Spain. Firstly, the nontrivial concept of extreme ideology is stated. Then, the electoral register is split in three subpopulations: supporters of extremist parties, abstentions/blank voters, and supporters of establishment parties. The model takes into account the following variables: economy measured throughout the Spanish unemployment rate; demography quantified in terms of birth and death rates and emigration; sociopolitical situation measured by the Spanish poverty indicator, trust on the Government labor indicator (GLI), and the indicator of political trust. By considering the dynamic subpopulations transits built throughout data obtained from public and private prestigious institutions and sociopolitical analysis, a system of difference equations models the electoral population behavior in Spain allowing us to compute the expected electoral support in the time horizon of January 2016. Sensitivity analysis versus uncertain parameters is performed in order to improve the reliability of the model results.
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spelling doaj-art-a1bd0cfca7d84465aceae4af81ad1a542025-02-03T06:44:19ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/729814729814Mathematical Modeling of the Propagation of Democratic Support of Extreme Ideologies in Spain: Causes, Effects, and Recommendations for Its StopE. De la Poza0L. Jódar1A. Pricop2Departmento de Economía y Ciencias Sociales, Universitat Politècnica de València, 46022 Valencia, SpainInstituto Universitario de Matemática Multidisciplinar, Universitat Politècnica de València, 46022 Valencia, SpainInstituto Universitario de Matemática Multidisciplinar, Universitat Politècnica de València, 46022 Valencia, SpainThis paper deals with the construction of a discrete population mathematical model for the short-term forecast until January 2016 of the electoral support of extreme ideology parties in Spain. Firstly, the nontrivial concept of extreme ideology is stated. Then, the electoral register is split in three subpopulations: supporters of extremist parties, abstentions/blank voters, and supporters of establishment parties. The model takes into account the following variables: economy measured throughout the Spanish unemployment rate; demography quantified in terms of birth and death rates and emigration; sociopolitical situation measured by the Spanish poverty indicator, trust on the Government labor indicator (GLI), and the indicator of political trust. By considering the dynamic subpopulations transits built throughout data obtained from public and private prestigious institutions and sociopolitical analysis, a system of difference equations models the electoral population behavior in Spain allowing us to compute the expected electoral support in the time horizon of January 2016. Sensitivity analysis versus uncertain parameters is performed in order to improve the reliability of the model results.http://dx.doi.org/10.1155/2013/729814
spellingShingle E. De la Poza
L. Jódar
A. Pricop
Mathematical Modeling of the Propagation of Democratic Support of Extreme Ideologies in Spain: Causes, Effects, and Recommendations for Its Stop
Abstract and Applied Analysis
title Mathematical Modeling of the Propagation of Democratic Support of Extreme Ideologies in Spain: Causes, Effects, and Recommendations for Its Stop
title_full Mathematical Modeling of the Propagation of Democratic Support of Extreme Ideologies in Spain: Causes, Effects, and Recommendations for Its Stop
title_fullStr Mathematical Modeling of the Propagation of Democratic Support of Extreme Ideologies in Spain: Causes, Effects, and Recommendations for Its Stop
title_full_unstemmed Mathematical Modeling of the Propagation of Democratic Support of Extreme Ideologies in Spain: Causes, Effects, and Recommendations for Its Stop
title_short Mathematical Modeling of the Propagation of Democratic Support of Extreme Ideologies in Spain: Causes, Effects, and Recommendations for Its Stop
title_sort mathematical modeling of the propagation of democratic support of extreme ideologies in spain causes effects and recommendations for its stop
url http://dx.doi.org/10.1155/2013/729814
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AT ljodar mathematicalmodelingofthepropagationofdemocraticsupportofextremeideologiesinspaincauseseffectsandrecommendationsforitsstop
AT apricop mathematicalmodelingofthepropagationofdemocraticsupportofextremeideologiesinspaincauseseffectsandrecommendationsforitsstop