We analyze the 2019 Chilean social unrest episode, consisting of a sequence of events, through the lens of an epidemic-like model that considers global contagious dynamics. We adjust the parameters to the Chilean social unrest aggregated public data available from the Undersecretary of Human Rights and observe that the number of violent events follows a well-defined pattern already observed in various public disorder episodes in other countries since the 1960s. Although the epidemic-like models display a single event that reaches a peak followed by an exponential decay, we add standard perturbation schemes that may produce a rich temporal behavior as observed in the 2019 Chilean social turmoil. Although we only have access to aggregated data, we are still able to fit it to our model quite well, providing interesting insights on social unrest dynamics.
REFERENCES
1.
V.
Maplecroft
, see https://www.maplecroft.com/insights/analysis/47-countries-witness-surge-in-civil-unrest/ for “Political Risk Outlook 2020” (2020).2.
S.
Spilerman
, “The causes of racial disturbances: A comparison of alternative explanations
,” Am. Soc. Rev.
35
, 627
–649
(1970
). 3.
S. L.
Burbeck
, W. J.
Raine
, and M. J.
Abudu Stark
, “The dynamics of riot growth: An epidemiological approach
,” J. Math. Sociol.
6
, 1
–22
(1978
). 4.
M.
Granovetter
, “Threshold models of collective behavior
,” Am. J. Soc.
83
, 1420
–1443
(1978
). 5.
H.
Berestycki
, J.-P.
Nadal
, and N.
Rodríguez
, “A model of riots dynamics: Shocks, diffusion and thresholds
,” Netw. Heterog. Media
10
, 443
–475
(2015
). 6.
P.
Baudains
, A.
Braithwaite
, and S. D.
Johnson
, “The London Riots—2: A Discrete Choice Model,” in Approaches to Geo-mathematical Modelling: New Tools for Complexity Science (Wiley, 2016), pp. 170–191.7.
L.
Bonnasse-Gahot
, H.
Berestycki
, M.-A.
Depuiset
, M. B.
Gordon
, S.
Roché
, N.
Rodriguez
, and J.-P.
Nadal
, “Epidemiological modelling of the 2005 French riots: A spreading wave and the role of contagion
,” Sci. Rep.
8
, 107
(2018
). 8.
I.
Salehyan
, C. S.
Hendrix
, J.
Hamner
, C.
Case
, C.
Linebarger
, E.
Stull
, and J.
Williams
, “Social conflict in Africa: A new database
,” Int. Interact.
38
, 503
–511
(2012
). 9.
T. P.
Davies
, H. M.
Fry
, A. G.
Wilson
, and S. R.
Bishop
, “A mathematical model of the London riots and their policing
,” Sci. Rep.
3
, 1303
(2013
). 10.
T.
Davies
and E.
Marchione
, “Event networks and the identification of crime pattern motifs
,” PLoS One
10
, e0143638
(2015
). 11.
R.
Ffrench-Davis
, “Is Chile a role model for development?” in Rethinking Development Strategies after the Financial Crisis: Volume II—Country Studies and International Comparisons, edited by A. Calcagno et al. (UN, New York, 2016).12.
The World Bank Development Research Group
, see https://data.worldbank.org/ for “Global Development Data.13.
I.
Flores
, C.
Sanhueza
, J.
Atria
, and R.
Mayer
, “Top incomes in Chile: A historical perspective on income inequality, 1964–2017
,” Rev. Income Wealth
(published online, 2019
). 14.
OECD
, see https://data.oecd.org/inequality/income-inequality.htm for “Income Inequality (Indicator)” (2020); accessed 28 February 2020.15.
Economic Commission for Latin America and the Caribbean (ECLAC)
, “Social panorama of Latin America,” Technical Report, United Nations, 2019.16.
S.
Donoso
and M.
Bülow
, Social Movements in Chile: Organization, Trajectories, and Political Consequences
(Palgrave Macmillan
, New York
, 2017
), pp. 1
–286
.17.
Professor Claudia Sanhueza declared to BBC that “This wave of protests may have been kickstarted by a rise in the price of metro tickets, but the resentment goes back further than that.” Moreover, she “singles out 2006 as a crucial year” referring to the so-called “Penguin Revolution” led by high school students. See https://www.bbc.com/news/world-latin-america-50151323.
18.
C.
Cabalin
, “Neoliberal education and student movements in Chile: Inequalities and malaise
,” Policy Futures Educ.
10
, 219
–228
(2012
). 19.
The total population in Santiago is about million and about in the entire Chile.
20.
Undersecretary for Human Rights
(2019–2020). “Informe actualizado de estado de situación desde el 19 de octubre,” 21.
J. M.
Epstein
, “Modeling civil violence: An agent-based computational approach
,” Proc. Natl. Acad. Sci. U.S.A.
99
, 7243
–7250
(2002
). 22.
B.
Pires
and A.
Crooks
, “Modeling the emergence of riots: A geosimulation approach
,” Comput. Environ. Urban Syst.
61
, 66
–80
(2017
). 23.
M. W.
Flamm
, Law and Order: Street Crime, Civil Unrest, and the Crisis of Liberalism in the 1960s
(Wiley-Blackwell
, 1994
).24.
J. K.
Walton
and S.
David
, Free Markets and Food Riots: The Politics of Global Adjustment
(Columbia University Press
, 2005
).25.
R.
Koselleck
and M. W.
Richter
, “Crisis
,” J. Hist. Ideas
67
, 357
–400
(2006
). 26.
E.
Beinhocker
, The Origin of Wealth: Evolution, Complexity, and the Radical Remaking of Economics
(Harvard Business School Press
, 2006
).27.
28.
E. C.
Zeeman
, “Catastrophe theory
,” Sci. Am.
234
, 65
–83
(1976
). 29.
A.
Scherman
, A.
Arriagada
, and S.
Valenzuela
, “Student and environmental protests in Chile: The role of social media
,” Politics
35
, 151
–171
(2015
). 30.
S.
Boulianne
, “Social media use and participation: A meta-analysis of current research
,” Inform. Commun. Soc.
18
, 524
–538
(2015
). 31.
B. E.
Weeks
, A.
Ardèvol-Abreu
, and H.
Gil de Zúñiga
, “Online influence? Social media use, opinion leadership, and political persuasion
,” Int. J. Public Opin. Res.
29
, 214
–239
(2017
). 32.
S.
Valenzuela
, N. M.
Somma
, A.
Scherman
, and A.
Arriagada
, “Social media in Latin America: Deepening or bridging gaps in protest participation
?” Online Inform. Rev.
40
, 695
–711
(2016
). 33.
W. O.
Kermack
, A. G.
McKendrick
, and G. T.
Walker
, “A contribution to the mathematical theory of epidemics
,” Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci.
115
, 700
–721
(1927
). 34.
J. A. P.
Heesterbeek
, “A brief history of R0 and a recipe for its calculation
,” Acta Biotheor.
50
, 189
–204
(2002
). 35.
F.
Brauer
, C.
Castillo-Chavez
, and C.
Castillo-Chavez
, Mathematical Models in Population Biology and Epidemiology
(Springer
, 2012
), Vol. 2.36.
V.
Arnold
and A.
Avez
, Ergodic Problems of Classical Mechanics, The Mathematical Physics Monograph Series (New York, W. A. Benjamin, Inc., 1968).37.
P.
Kloeden
and E.
Platten
, Numerical Solution of Stochastic Differential Equations
(Springer
, Heidelberg
, 1995
).38.
P.
Bak
, C.
Tang
, and K.
Wiesenfeld
, “Self-organized criticality: An explanation of the 1/f noise
,” Phys. Rev. Lett.
59
, 381
–384
(1987
). 39.
P.
Bak
, How Nature Works: The Science of Self-Organized Criticality
(Springer
, Heidelberg
, 1996
).40.
C. J.
Rhodes
, H. J.
Jensen
, and R. M.
Anderson
, “On the critical behaviour of simple epidemics
,” Proc. R. Soc. Lond. Ser. B Biol. Sci.
264
, 1639
–1646
(1997
). 41.
“Estamos en guerra contra un enemigo poderoso, implacable, que no respeta a nada ni a nadie y que está dispuesto a usar la violencia y la delincuencia sin ningún límite” (President Sebastián Piñera in a press conference on Sunday, October 20, 2019).
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