Minimizing Dependency Ratio in Spain through Demographic Variables

Joan C. Micó, David Soler, Maria T. Sanz, Antonio Caselles and Salvador Amigó
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Joan C. Micó: Institut Universitari de Matemàtica Multidisciplinar, Universitat Politècnica de València, Camí de Vera s/n, 46022 València, Spain
David Soler: Institut Universitari de Matemàtica Multidisciplinar, Universitat Politècnica de València, Camí de Vera s/n, 46022 València, Spain
Maria T. Sanz: Departament de Didàctica de la Matemàtica, Universitat de València, Avda. Tarongers 4, 46022 València, Spain
Antonio Caselles: IASCYS, Departament de Matemàtica Aplicada, Universitat de València, Dr. Moliner 50, 46100 Burjassot, Spain
Salvador Amigó: Departament de Personalitat, Avaluació i Tractaments Psicològics, Universitat de València, Av. Blasco Ibáñez 21, 46010 València, Spain

Mathematics, 2022, vol. 10, issue 9, 1-15

Abstract: The population pyramids in Europe have changed in the last decades, particularly in Spain, where population aging is observed and implies an increase in the dependency ratio. The present study aims to modify a mathematical model of population defined by age and sex based on the von Foerster-Mckendrick equations in order to have birth and migration rates as control variables. To achieve this objective, the necessary mathematical changes are made in the model, and the new mathematical model is verified and validated for the case of Spain, in the period 2008–2019, being considered successful both in its deterministic and stochastic formulation. Finally, through the method of strategies and scenarios and a genetic algorithm, a modification of the population pyramid is obtained in the direction of a decrease in the dependency ratio, increasing the birth rate and immigration and decreasing the emigration rate. These changes lead to a modification of the population pyramid in the year 2040; in particular, an increase of the female population in the age range from 20 to 39 years old.

Keywords: dependency ratio; population aging; migration; fertility (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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