IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v143y2021ics0960077920310171.html
   My bibliography  Save this article

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077920310171
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2020.110626?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. 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.
    2. He, Zhengbing, 2020. "Spatial-temporal fractal of urban agglomeration travel demand," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 549(C).
    3. 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).
    4. 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.
    5. 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.
    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. 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.
    8. 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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Jiang, Kai & Liu, Zhifeng & Tian, Yang & Zhang, Tao & Yang, Congbin, 2022. "An estimation method of fractal parameters on rough surfaces based on the exact spectral moment using artificial neural network," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).
    2. He, Zhengbing, 2021. "Portraying ride-hailing mobility using multi-day trip order data: A case study of Beijing, China," Transportation Research Part A: Policy and Practice, Elsevier, vol. 146(C), pages 152-169.
    3. Li, Zhiwei & Wang, Jianjian & Yuan, Meng & Wang, Zhongyu & Feng, Pingfa & Feng, Feng, 2022. "An indicator to quantify the complexity of signals and surfaces based on scaling behaviors transcending fractal," Chaos, Solitons & Fractals, Elsevier, vol. 163(C).
    4. Muir, Callum & Cortez, Jordan & Grigolini, Paolo, 2020. "Interacting faults in california and hindu kush," Chaos, Solitons & Fractals, Elsevier, vol. 139(C).
    5. Feng Feng & Meng Yuan & Yousheng Xia & Haoming Xu & Pingfa Feng & Xinghui Li, 2022. "Roughness Scaling Extraction Accelerated by Dichotomy-Binary Strategy and Its Application to Milling Vibration Signal," Mathematics, MDPI, vol. 10(7), pages 1-17, March.
    6. Alan Karaev & Vadim Ponkratov & Andrey Masterov & Elena Kireeva & Maria Volkova, 2020. "Cross-country Analysis of the Comparative Efficiency of Government Support for Coal and Lignite Production," International Journal of Energy Economics and Policy, Econjournals, vol. 10(5), pages 220-227.
    7. Bartosz Lamasz & Natalia Iwaszczuk, 2020. "Crude Oil Option Market Parameters and Their Impact on the Cost of Hedging by Long Strap Strategy," International Journal of Energy Economics and Policy, Econjournals, vol. 10(1), pages 471-480.
    8. Lambiotte, R. & Ausloos, M. & Thelwall, M., 2007. "Word statistics in Blogs and RSS feeds: Towards empirical universal evidence," Journal of Informetrics, Elsevier, vol. 1(4), pages 277-286.
    9. Baïle, Rachel & Muzy, Jean-François & Silvani, Xavier, 2021. "Multifractal point processes and the spatial distribution of wildfires in French Mediterranean regions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 568(C).
    10. Marina V. Vasiljeva & Vadim V. Ponkratov & Larisa A. Vatutina & Maria V. Volkova & Marina I. Ivleva & Elena V. Romanenko & Nikolay V. Kuznetsov & Nadezhda N. Semenova & Elena F. Kireeva & Dmitrii K. G, 2022. "Crude Oil Market Functioning and Sustainable Development Goals: Case of OPEC++-Participating Countries," Sustainability, MDPI, vol. 14(8), pages 1-23, April.
    11. Li, Lili & Li, Xiaohan & Yu, Senbin & Li, Xiaojia & Dai, Jiaqi, 2022. "Unbalanced usage of free-floating bike sharing connecting with metro stations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 608(P1).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:chsofr:v:143:y:2021:i:c:s0960077920310171. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.