IDEAS home Printed from https://ideas.repec.org/a/wly/jnlaaa/v2014y2014i1n782393.html

Mathematical Models Arising in the Fractal Forest Gap via Local Fractional Calculus

Author

Listed:
  • Chun-Ying Long
  • Yang Zhao
  • Hossein Jafari

Abstract

The forest new gap models via local fractional calculus are investigated. The JABOWA and FORSKA models are extended to deal with the growth of individual trees defined on Cantor sets. The local fractional growth equations with local fractional derivative and difference are discussed. Our results are first attempted to show the key roles for the nondifferentiable growth of individual trees.

Suggested Citation

  • Chun-Ying Long & Yang Zhao & Hossein Jafari, 2014. "Mathematical Models Arising in the Fractal Forest Gap via Local Fractional Calculus," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:782393
    DOI: 10.1155/2014/782393
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/2014/782393
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2014/782393?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
    ---><---

    References listed on IDEAS

    as
    1. Brian J. Enquist & Geoffrey B. West & Eric L. Charnov & James H. Brown, 1999. "Allometric Scaling of Production and Life History Variation in Vascular Plants," Working Papers 99-10-072, Santa Fe Institute.
    2. Brian J. Enquist & Geoffrey B. West & Eric L. Charnov & James H. Brown, 1999. "Allometric scaling of production and life-history variation in vascular plants," Nature, Nature, vol. 401(6756), pages 907-911, October.
    3. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Yuan Cao & Wei-Gang Ma & Lian-Chuan Ma, 2014. "Local Fractional Functional Method for Solving Diffusion Equations on Cantor Sets," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    2. Xiao-Jun Yang & Jordan Hristov & H. M. Srivastava & Bashir Ahmad, 2014. "Modelling Fractal Waves on Shallow Water Surfaces via Local Fractional Korteweg‐de Vries Equation," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    3. Yang Li & Long-Fei Wang & Sheng-Da Zeng & Yang Zhao, 2014. "Local Fractional Laplace Variational Iteration Method for Fractal Vehicular Traffic Flow," Advances in Mathematical Physics, John Wiley & Sons, vol. 2014(1).
    4. Yang-Yang Li & Yang Zhao & Gong-Nan Xie & Dumitru Baleanu & Xiao-Jun Yang & Kai Zhao, 2014. "Local Fractional Poisson and Laplace Equations with Applications to Electrostatics in Fractal Domain," Advances in Mathematical Physics, John Wiley & Sons, vol. 2014(1).

    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. Tao, Yong & Lin, Li & Wang, Hanjie & Hou, Chen, 2023. "Superlinear growth and the fossil fuel energy sustainability dilemma: Evidence from six continents," Structural Change and Economic Dynamics, Elsevier, vol. 66(C), pages 39-51.
    2. Hannah Capes & Robert J. Maillardet & Thomas G. Baker & Christopher J. Weston & Don McGuire & Ian C. Dumbrell & Andrew P. Robinson, 2017. "The Allometric Quarter-Power Scaling Model and Its Applicability to Grand Fir and Eucalyptus Trees," Journal of Agricultural, Biological and Environmental Statistics, Springer;The International Biometric Society;American Statistical Association, vol. 22(4), pages 562-584, December.
    3. Nadia S Santini & Quan Hua & Nele Schmitz & Catherine E Lovelock, 2013. "Radiocarbon Dating and Wood Density Chronologies of Mangrove Trees in Arid Western Australia," PLOS ONE, Public Library of Science, vol. 8(11), pages 1-8, November.
    4. Tyson L Swetnam & Christopher D O’Connor & Ann M Lynch, 2016. "Tree Morphologic Plasticity Explains Deviation from Metabolic Scaling Theory in Semi-Arid Conifer Forests, Southwestern USA," PLOS ONE, Public Library of Science, vol. 11(7), pages 1-16, July.
    5. Masae Iwamoto Ishihara & Yasuo Konno & Kiyoshi Umeki & Yasuyuki Ohno & Kihachiro Kikuzawa, 2016. "A New Model for Size-Dependent Tree Growth in Forests," PLOS ONE, Public Library of Science, vol. 11(4), pages 1-18, April.
    6. Nath, Arun Jyoti & Sileshi, Gudeta W. & Das, Ashesh Kumar, 2018. "Bamboo based family forests offer opportunities for biomass production and carbon farming in North East India," Land Use Policy, Elsevier, vol. 75(C), pages 191-200.
    7. Janko Arsić & Marko Stojanović & Lucia Petrovičová & Estelle Noyer & Slobodan Milanović & Jan Světlík & Petr Horáček & Jan Krejza, 2021. "Increased wood biomass growth is associated with lower wood density in Quercus petraea (Matt.) Liebl. saplings growing under elevated CO2," PLOS ONE, Public Library of Science, vol. 16(10), pages 1-20, October.
    8. Inês Figueira & Rayan Succar & Roni Barak Ventura & Maurizio Porfiri, 2025. "Urban scaling with censored data," PLOS Complex Systems, Public Library of Science, vol. 2(1), pages 1-22, January.
    9. repec:plo:pcbi00:1000486 is not listed on IDEAS
    10. He, Ji-Huan & Liu, Jun-Fang, 2009. "Allometric scaling laws in biology and physics," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 1836-1838.
    11. 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.
    12. Brinkley, Catherine & Raj, Subhashni, 2022. "Perfusion and urban thickness: The shape of cities," Land Use Policy, Elsevier, vol. 115(C).
    13. 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.
    14. 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.
    15. 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.
    16. Brolly, Matthew & Woodhouse, Iain H., 2012. "A “Matchstick Model” of microwave backscatter from a forest," Ecological Modelling, Elsevier, vol. 237, pages 74-87.
    17. 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.
    18. 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.
    19. Dalgaard, Carl-Johan & Strulik, Holger, 2011. "Energy distribution and economic growth," Resource and Energy Economics, Elsevier, vol. 33(4), pages 782-797.
    20. 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.
    21. 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.

    More about this item

    Statistics

    Access and download statistics

    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:wly:jnlaaa:v:2014:y:2014:i:1:n:782393. 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: Wiley Content Delivery (email available below). General contact details of provider: https://onlinelibrary.wiley.com/journal/4058 .

    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.