Preface.- Numerical atmospheric modelling.- An overview of the El Niño, La Niña and the Southern Oscillation phenomena: theory, observations and modeling links.- Mathematical homogenization and integral transform-based multilayer methods.- The earthquake's mathematics.- Waves propagation and flood by tsunami.- From complex systems theory to disasters risk reduction management.- Bayesian analysis for natural threats and hazards.- Time series analysis applied to disaster risk reduction data.- Data mining approaches to the real-time monitoring and early warning of convective weather using lightning data.- Detection of forest burn stages using remote sensing Images and stochastic distances.- Digital humanities and big microdata: new approaches for demographic research.- Modelling and predicting social and geopolitical disasters as extreme events: A case study considering the dynamics of international armed conflicts.