FRACTAL PARAMETERS OF SLUM SETTLEMENTS: WAVE-SPECTRUM ANALYSIS (STUDY OF KARACHI)

Abstract

Fractal parameters of slum settlements, such as those in Karachi, can provide valuable insights into these communities' spatial organization and growth patterns. In this research, considering the slum areas or Kachi Abadies (KAs) as an ‘urban malignancy’ the spectral (spectrum) analysis method and the Fourier transform is used to analyse the patterns of population distribution in Karachi city based on its spatial dynamics. The study uses mathematical experiments and empirical analysis to calculate the fractal dimension for exploring urban fractal parameter relationships form and growth. The population data and land use data of Karachi Kachi Abadis (KKAs) are used to attain the numerical values of all parametric relations. The calculated results showed a close numerical coherence.