Análise espacial da incidência de violência doméstica no município de Assis Chateaubriand - PR

Abstract

This study aims to analyze the spatial distribution of domestic violence in the municipality of Assis Chateaubriand, in the state of Paraná, using spatial statistics and geoprocessing techniques. The research is justified by the social relevance of the topic and the lack of local studies that address the issue through quantitative data and mathematical tools. A total of 255 police reports registered between 2023 and 2025 were used, anonymized and georeferenced based on the municipality’s Generic Value Map (PGV) sectors. The methodology adopted an exploratory and quantitative approach, using R and GeoDa software to construct thematic maps, perform spatial autocorrelation analysis (Moran’s Index), and identify local patterns (LISA). The results revealed an unequal concentration of cases, highlighting sectors with high incidence of violence, forming potential hotspots. The presence of outliers and high data variability indicate significant territorial disparities, often associated with socioeconomic vulnerability and the lack of support services for victims. It is concluded that spatial analysis is an essential tool for understanding the patterns of domestic violence in the municipality, supporting more effective public policies and promoting preventive actions directed at the most critical areas. The study demonstrates the potential of Mathematics and Statistics in analyzing complex social phenomena, contributing to the integration of technical knowledge with social commitment.