Abstract
In this work, we propose a quantitative model for the 2019 Chilean protests. We utilize public data for the consumer price index, the gross domestic product, and the employee and per capita income distributions as inputs for a nonlinear diffusion-reaction equation, the solutions to which provide an in-depth analysis of the population dynamics. Specifically, the per capita income distribution stands out as a solution to the extended Fisher-Kolmogorov equation. According to our results, the concavity of employee income distribution is a decisive input parameter and, in contrast to the distributions typically observed for Chile and other countries in Latin America, should ideally be non-negative. Based on the results of our model, we advocate for the implementation of social policies designed to stimulate social mobility by broadening the distribution of higher salaries.
Publication types
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Research Support, Non-U.S. Gov't
MeSH terms
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Chile / ethnology
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Demography / statistics & numerical data*
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Gross Domestic Product / statistics & numerical data*
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Humans
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Income / statistics & numerical data*
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Latin America / ethnology
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Models, Theoretical
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Population Dynamics
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Public Policy / trends*
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Socioeconomic Factors
Grants and funding
We would like to acknowledge partial financial support from Fondecyt grants 1181558 and 11150182, and Beca de postdoctorado Universidad Católica del Norte No 004/2019". Additionally, we would like to thank Núcleo de Investigación No 2-Sistemas Complejos en Ciencia e Ingeniería-UCN-VRIDT 042/2020, for the scientific support. The Banco Itaú-Corpbanca provided support in the form of salaries for D.G but did not have any additional role in the study design, data collection, and analysis, decision to publish, or preparation of the manuscript.