Urban Expansion Dynamics in the Metropolitan Region of Serra Gaúcha: Growth Vectors

The study analyzes the urban growth of cities in the Metropolitan Region of Serra Gaúcha, considering their historical evolution and the factors influencing expansion in different directions, generating growth vectors. The research adopts an empirical approach to identify how elements such as topography, road infrastructure, and the hydrographic system impact growth toward the north, south, east, and west. The methodology involves analyzing historical, geospatial, and socioeconomic data to understand urban expansion patterns over time. The results highlight the influence of specific factors in each direction, demonstrating how geography and urban planning shape land occupation. The study contributes to understanding regional urban dynamics, providing insights for more strategic and sustainable planning capable of anticipating challenges and guiding the balanced development of Serra Gaúcha’s cities.