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Simulation of confined pocket of a city by leapfrogging method

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Abstract.

Leapfrogging appears at several levels and hence may be one of the fundamental processes generating urban fractality. Simulations have been performed on random pockets (slums) with different areas and lifetime of the Delhi city. The images were procured and processed using GIS package SAS planet and ImageJ and the fractal dimension was calculated by the box-counting method. In addition, we propose a confined leapfrogging model. Both studies suggests that any such confined pocket shall eventually have a high fractal dimension in the range 1.65-1.85 with a central tendency of 1.76 from the data of pockets and 1.78 from the confined model. These slums will approach a high fractal dimension due to the high level of social and economic pressure there. The confined leapfrogging model is suggested as the underlying process of slum growth.

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Authors and Affiliations

  1. Department of Physics, SGTB Khalsa College, University of Delhi, 110 007, Delhi, India

    Sushil Kumar Singh,  Ashish, Jattan Talan & Savinder Kaur

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  1. Sushil Kumar Singh
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  2. Ashish
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  3. Jattan Talan
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  4. Savinder Kaur
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Correspondence to Savinder Kaur.

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Kumar Singh, S., Ashish, Talan, J. et al. Simulation of confined pocket of a city by leapfrogging method. Eur. Phys. J. Plus 134, 550 (2019). https://doi.org/10.1140/epjp/i2019-12993-2

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