Cortés, Juan-Carlos; Sánchez, Francisco; Santonja, Francisco-José; Villanueva, Rafael-Jacinto A probabilistic analysis to quantify the effect of March 11, 2004, attacks in Madrid on the March 14 elections in Spain: a dynamic modelling approach. (English) Zbl 1433.91111 Abstr. Appl. Anal. 2015, Article ID 387839, 8 p. (2015). Summary: The bomb attacks in Madrid three days before the general elections of March 14, 2004, and their possible influence on the victory of PSOE (Spanish Workers Socialist Party), defeating PP (Popular Party), have been a matter of study from several points of view (i.e., sociological, political, or statistical). In this paper, we present a dynamic model based on a system of differential equations such that it, using data from Spanish CIS (National Center of Sociological Research), describes the evolution of voting intention of the Spanish people over time. Using this model, we conclude that the probability is very low that the PSOE would have won had the attack not happened. Moreover, after the attack, the PSOE increased an average of 5.6% in voting on March 14 and an average of 11.2% of the Spanish people changed their vote between March 11 and March 14. These figures are in accordance with other studies. MSC: 91B99 Mathematical economics 91F10 History, political science PDF BibTeX XML Cite \textit{J.-C. Cortés} et al., Abstr. Appl. Anal. 2015, Article ID 387839, 8 p. (2015; Zbl 1433.91111) Full Text: DOI References: [1] Bali, V. A., Terror and elections: lessons from Spain, Electoral Studies, 26, 3, 669-687, (2007) [2] Colomer, J. M., The general election in Spain, March 2004, Electoral Studies, 24, 1, 149-156, (2005) [3] Gibert, J. R. M.; Peñas, I. L.; Loriente, M. T., General Elections 2004, (2007) [4] Gramacho, W. G.; Gibert, J. R. M.; Peñas, I. L.; Loriente, M. T., El 14-M sin el shock del 11-M: un analisis longitudinal, Elecciones Generales 2004, 205-224, (2007) [5] Montero, J. R.; Lago, I.; Gibert, J. R. M.; Peñas, I. L.; Loriente, M. T., Del 11-M al 14-M: terrorismo, gestion del gobierno y rendicion de cuentas, Elecciones Generales 2004, 169-204, (2007) [6] Centro de Investigaciones Sociologicas (CIS) [7] Przeworski, A.; Soares, G. A. D., Theories in search of a curve: a contextual interpretation of left vote, The American Political Science Review, 65, 1, 51-68, (1971) [8] Tuma, N. B.; Hannan, M. T., Social Dynamics: Models and Methods, (1984), New York, NY, USA: Academic Press, New York, NY, USA [9] Kadera, K., The Power-Conict Story: A Dynamic Model of Interstate Rivalry, (2001), Ann Arbor, Mich, USA: University of Michigan Press, Ann Arbor, Mich, USA [10] Brown, C., Politics and the environment: nonlinear instabilities dominate, The American Political Science Review, 88, 2, 292-303, (1994) [11] Brown, C., Differential Equations: A Modeling Approach. Differential Equations: A Modeling Approach, Quantitative Applications in the Social Sciences, 150, (2007), Los Angeles, Calif, USA: Sage Publications, Los Angeles, Calif, USA · Zbl 1154.34001 [14] Peco, M.; Santonja, F.-J.; Tarazona, A.-C.; Villanueva, R.-J.; Villanueva-Oller, J., The effect of the Spanish Law of Political Parties (LPP) on the attitude of the Basque Country population towards ETA: a dynamic modelling approach, Mathematical and Computer Modelling, 57, 7-8, 1679-1685, (2013) · Zbl 1305.91206 [15] Barreiro, B., 14-M: Elecciones a la sombra del terrorismo, Claves de Razón Práctica, 141, 14-22, (2004) [16] Montero, J. R.; de Parga, M. J.; Vallespin, F., Elecciones y sistemas de partidos, La Politica, 581-616, (2008) [17] Cortes, J.-C.; Santonja, F.-J.; Tarazona, A.-C.; Villanueva, R.-J.; Villanueva-Oller, J., A probabilistic estimation and prediction technique for dynamic continuous social science models: the evolution of the attitude of the Basque Country population towards ETA as a case study · Zbl 1410.91393 [18] DeGroot, M. H., Probability and Statistics, (1986), New York, NY, USA: Addison-Wesley, New York, NY, USA · Zbl 0619.62001 [19] Nelder, J. A.; Mead, R., A simplex method for function minimization, The Computer Journal, 7, 4, 308-313, (1964) · Zbl 0229.65053 [20] Casella, G.; Berger, R. L., Statistical Inference. Statistical Inference, Duxbury Advances Series, (2002), Florence, Ky, USA: Brooks/Cole, Florence, Ky, USA This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.