Multivariate statistical analysis of the seismic activity in Morocco using PCA and K-Means clustering
Multivariate statistical analysis of the seismic activity in Morocco using PCA and K-Means clustering

Summary/Abstract: The rise in seismic waves in Morocco within the last five years prompted an accurate multivariate analysis based on such statistical methods as the classification by the K-Means algorithm and principal component analysis (PCA) of seismic wave quantitative variables for Morocco. The adopted results of statistics and analyses can be processed to computer systems for the purpose of optimization and simplification in managing risks of seismic activity in Morocco. A method of statistical treatment that would evaluate diverse seismic threats associated with technological challenges . It also studies the limits of integration and machine learning algorithms inside infrastructural monitoring.The principal output of the component analysis indicated that the PC1 and PC2 components explained 34.82% and 27.85% of the total variation, respectively. The first component was mainly associated with the “magnitude” and “significance” variables. The second component had a strong relationship with “latitude” and “time,” which could describe seismic occurrences in temporal and geographical dimensions. Four clusters were identified and classified by the K-Means algorithm as “Low”, “Medium”, “High” and “Very High”, based on the magnitude of earthquakes.The application of multivariate analyses, namely the principal component analysis and the K-Means algorithm are useful not only for reducing dimensionality and classification but also for facilitating risk modeling and disaster prevention. However, both approaches have limitations: the PCA assumes linear relationships between variables, while the K-Means algorithm is influenced by the initial positioning of the switchboard. The study shows the importance of integrating multivariate analyses to develop advanced statistical solutions in order to optimize disaster risk management and real-time seismic monitoring. All graphical results are from Python.

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