IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v555y2020ics0378437120303034.html
   My bibliography  Save this article

A heuristic model for the scaling linguistic diversity-area

Author

Listed:
  • Santos, M.R.F.
  • Gomes, M.A.F.

Abstract

Here is introduced a simple heuristic model which emerges from a type of variational framework aimed to solve the problem of the relation between linguistic diversity and area from a maximization procedure. We show that this model reproduces the robust scaling law for linguistic diversity versus area observed today on Earth for the largest 147 countries with area superior to 18,000 km2.

Suggested Citation

  • Santos, M.R.F. & Gomes, M.A.F., 2020. "A heuristic model for the scaling linguistic diversity-area," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 555(C).
    • Handle: RePEc:eee:phsmap:v:555:y:2020:i:c:s0378437120303034
    DOI: 10.1016/j.physa.2020.124622
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437120303034
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2020.124622?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. Santos, M.R.F. & Gomes, M.A.F., 2019. "Revisiting scaling relations for linguistic diversity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 532(C).
    2. de Oliveira, Viviane M. & Campos, Paulo R.A. & Gomes, M.A.F. & Tsang, I.R., 2006. "Bounded fitness landscapes and the evolution of the linguistic diversity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 368(1), pages 257-261.
    3. Chen, Yanguang, 2012. "The rank-size scaling law and entropy-maximizing principle," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(3), pages 767-778.
    4. Gomes, M.A.F & Vasconcelos, G.L & Tsang, I.J & Tsang, I.R, 1999. "Scaling relations for diversity of languages," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 271(3), pages 489-495.
    5. Geoffrey B. West & James H. Brown & Brian J. Enquist, 1997. "A General Model for the Origin of Allometric Scaling Laws in Biology," Working Papers 97-03-019, Santa Fe Institute.
    6. Pastor-Satorras, R & Wagensberg, J, 1998. "The maximum entropy principle and the nature of fractals," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 251(3), pages 291-302.
    7. Xia Hua & Simon J. Greenhill & Marcel Cardillo & Hilde Schneemann & Lindell Bromham, 2019. "The ecological drivers of variation in global language diversity," Nature Communications, Nature, vol. 10(1), pages 1-10, December.
    8. de Oliveira, Viviane M. & Gomes, M.A.F. & Tsang, I.R., 2006. "Theoretical model for the evolution of the linguistic diversity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 361(1), pages 361-370.
    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. Chen, Yanguang, 2015. "The distance-decay function of geographical gravity model: Power law or exponential law?," Chaos, Solitons & Fractals, Elsevier, vol. 77(C), pages 174-189.
    2. He, Ji-Huan & Liu, Jun-Fang, 2009. "Allometric scaling laws in biology and physics," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 1836-1838.
    3. Christos Makriyannis, 2023. "How the Biophysical Paradigm Impedes the Scientific Advancement of Ecological Economics: A Transdisciplinary Analysis," Sustainability, MDPI, vol. 15(23), pages 1-24, November.
    4. Hennessy, David A., 2006. "Feeding and the Equilibrium Feeder Animal Price-Weight Schedule," Journal of Agricultural and Resource Economics, Western Agricultural Economics Association, vol. 31(2), pages 1-23, August.
    5. Carl-Johan Dalgaard & Holger Strulik, 2015. "The physiological foundations of the wealth of nations," Journal of Economic Growth, Springer, vol. 20(1), pages 37-73, March.
    6. Brinkley, Catherine & Raj, Subhashni, 2022. "Perfusion and urban thickness: The shape of cities," Land Use Policy, Elsevier, vol. 115(C).
    7. Ribeiro, Fabiano L. & Ribeiro, Kayo N., 2015. "A one dimensional model of population growth," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 434(C), pages 201-210.
    8. Jiejing Wang & Yanguang Chen, 2021. "Economic Transition and the Evolution of City-Size Distribution of China’s Urban System," Sustainability, MDPI, vol. 13(6), pages 1-15, March.
    9. Grimm, Volker & Berger, Uta, 2016. "Structural realism, emergence, and predictions in next-generation ecological modelling: Synthesis from a special issue," Ecological Modelling, Elsevier, vol. 326(C), pages 177-187.
    10. Brolly, Matthew & Woodhouse, Iain H., 2012. "A “Matchstick Model” of microwave backscatter from a forest," Ecological Modelling, Elsevier, vol. 237, pages 74-87.
    11. Eva Maria Griebeler & Nicole Klein & P Martin Sander, 2013. "Aging, Maturation and Growth of Sauropodomorph Dinosaurs as Deduced from Growth Curves Using Long Bone Histological Data: An Assessment of Methodological Constraints and Solutions," PLOS ONE, Public Library of Science, vol. 8(6), pages 1-17, June.
    12. Dalgaard, Carl-Johan & Strulik, Holger, 2011. "Energy distribution and economic growth," Resource and Energy Economics, Elsevier, vol. 33(4), pages 782-797.
    13. Rossana Mastrandrea & Rob ter Burg & Yuli Shan & Klaus Hubacek & Franco Ruzzenenti, 2022. "Scaling laws in global corporations as a benchmarking approach to assess environmental performance," Papers 2206.03148, arXiv.org, revised Jul 2023.
    14. Klement Stojanovski & Ioana Gheorghe & Peter Lenart & Anne Lanjuin & William B. Mair & Benjamin D. Towbin, 2023. "Maintenance of appropriate size scaling of the C. elegans pharynx by YAP-1," Nature Communications, Nature, vol. 14(1), pages 1-13, December.
    15. Husmann, Kai & Möhring, Bernhard, 2017. "Modelling the economically viable wood in the crown of European beech trees," Forest Policy and Economics, Elsevier, vol. 78(C), pages 67-77.
    16. Fernando Rubiera-Morollón & Ignacio del Rosal & Alberto Díaz-Dapena, 2015. "Can large cities explain the aggregate movements of economies? Testing the ‘granular hypothesis’ for US counties," Letters in Spatial and Resource Sciences, Springer, vol. 8(2), pages 109-118, July.
    17. He, Ji-Huan, 2006. "An allometric scaling law between gray matter and white matter of cerebral cortex," Chaos, Solitons & Fractals, Elsevier, vol. 27(4), pages 864-867.
    18. Bill McKelvey & Benyamin B. Lichtenstein & Pierpaolo Andriani, 2012. "When organisations and ecosystems interact: toward a law of requisite fractality in firms," International Journal of Complexity in Leadership and Management, Inderscience Enterprises Ltd, vol. 2(1/2), pages 104-136.
    19. Jian Feng & Yanguang Chen, 2021. "Modeling Urban Growth and Socio-Spatial Dynamics of Hangzhou, China: 1964–2010," Sustainability, MDPI, vol. 13(2), pages 1-25, January.
    20. J. B. Glattfelder & A. Dupuis & R. B. Olsen, 2010. "Patterns in high-frequency FX data: discovery of 12 empirical scaling laws," Quantitative Finance, Taylor & Francis Journals, vol. 11(4), pages 599-614.

    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:phsmap:v:555:y:2020:i:c:s0378437120303034. 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: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    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.