The fractal analysis, an alternative to the renewal of urban land in the Bejaia city

Abstract

The aims of the present study are to evaluate and characterize the spatio-temporal dynamics of urban spaces in bejaia city north eastern Algeria. In this work, we use the allometric scaling associated with fractal model and geographic information systems to solve the mentioned problem. The analyses of results show that during the period 1947 and 2019, the structure of the study area indicates a notable deep dilution with irregularity in the size and shape (D_surf1947= 1.75, D_{surf 1985}= 1.58 and D_{surf 2019} = 1.71)due to the decrease in the area of agricultural land and forests. The results of fractal model analysis showed that over time the spatial distribution of urban area becomes more complex and clustered. On the other hand, the results demonstrated that the spatial and temporal evolution of the urban area goes from a compact (a₁₉₄₇=1.80) to diluted city (a₂₀₁₉=1.27). Finally, the results of this study can be used as a decision-making tool for analyzing complexity of the spatio-temporal variation of urban areas and assisted decision-makers to take an action on land management.