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Covering fractals with constant radius tiles: Distribution functions and their implications for resource management

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  • García-Miguel, Carmen
  • San Martín, Jesús

Abstract

The need to optimize and rationally exploit, both fractally distributed natural resources and civil infrastructures, has led us to study the covering of random fractals with circular tiles of a fixed radius. The study has been carried out for different fractal dimensions and radii of the tiles. From the study it is deduced that the fractal mass enclosed by the circular tiles follows a parabolic fractal distribution, which depends only on two parameters. In addition, the distribution parameters have been expressed in terms of fractal dimension and radius of the tiles. Therefore, it is possible to estimate the fractal mass enclosed by the circular tiles of a given radius, once the fractal dimension is known. Consequently, the distribution allows a rational and optimal management of the resources located on the fractal.

Suggested Citation

  • García-Miguel, Carmen & San Martín, Jesús, 2021. "Covering fractals with constant radius tiles: Distribution functions and their implications for resource management," Chaos, Solitons & Fractals, Elsevier, vol. 143(C).
    • Handle: RePEc:eee:chsofr:v:143:y:2021:i:c:s0960077920310171
    DOI: 10.1016/j.chaos.2020.110626
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    1. Sergey O. Chikunov & Vadim V. Ponkratov & Alexander A. Sokolov & Andrey S. Pozdnyaev & Irina V. Osinovskaya & Marina I. Ivleva, 2019. "Financial Risks of Russian Oil Companies in Conditions of Volatility of Global Oil Prices," International Journal of Energy Economics and Policy, Econjournals, vol. 9(3), pages 18-29.
    2. Kanevski, Mikhail & Pereira, Mário G., 2017. "Local fractality: The case of forest fires in Portugal," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 479(C), pages 400-410.
    3. He, Zhengbing, 2020. "Spatial-temporal fractal of urban agglomeration travel demand," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 549(C).
    4. Zuo, Xue & Tang, Xiang & Zhou, Yuankai, 2020. "Influence of sampling length on estimated fractal dimension of surface profile," Chaos, Solitons & Fractals, Elsevier, vol. 135(C).
    5. Stanley, H.Eugene & Andrade, José S, 2001. "Physics of the cigarette filter: fluid flow through structures with randomly-placed obstacles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 295(1), pages 17-30.
    6. Shreevastava, Anamika & Rao, P. Suresh C. & McGrath, Gavan, 2019. "Emergent self-similarity and scaling properties of fractal intra-Urban Heat Islets for diverse global cities," Earth Arxiv t9s3g, Center for Open Science.
    7. Lucien Benguigui & Efrat Blumenfeld-Lieberthal, 2006. "From Lognormal Distribution To Power Law: A New Classification Of The Size Distributions," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 17(10), pages 1429-1436.
    8. Hayat, Umar & Barkat, Adnan & Ali, Aamir & Rehman, Khaista & Sifat, Shazia & Iqbal, Talat, 2019. "Fractal analysis of shallow and intermediate-depth seismicity of Hindu Kush," Chaos, Solitons & Fractals, Elsevier, vol. 128(C), pages 71-82.
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