IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v606y2022ics0378437122006483.html
   My bibliography  Save this article

Reproducing size distributions of swarms of barchan dunes on Mars and Earth using a mean-field model

Author

Listed:
  • Robson, Dominic T.
  • Annibale, Alessia
  • Baas, Andreas C.W.

Abstract

We apply a mean-field model of interactions between migrating barchan dunes, the CAFE model, which includes spontaneous calving, aggregation, fragmentation, and mass-exchange, yielding a steady-state size distribution that can be resolved for different choices of interaction parameters. The CAFE model is applied to empirically measured distributions of dune sizes in two barchan swarms in the north circumpolar region of Mars, three swarms in Morocco, and one in Mauritania, each containing more than 1000 bedforms. When the sizes of bedforms are rescaled by the mean size in each zone two attractor states appear, with the Tarfaya zones all displaying a common distribution and the Martian and Mauritanian zones sharing a different distribution. Comparison of these attractor states with the outputs of the CAFE model reveals that the Tarfaya-type distribution results from a preference for aggregation and fragmentation interactions whereas the Mars–Mauritania distribution is more likely a result of exchange–dominated interactions. We observe that there appears to be a greater number of collisions happening in Tarfaya than in the other areas which is consistent with a greater rate of aggregation–fragmentation processes as suggested by our model. Our comparison with the CAFE model also predicts a universal rule for the outputs of the different types of interactions with exchange interactions favouring the production of two dunes roughly equal in size. Fragmentation interactions often result in three bedforms with volumes approximately in the ratio 1:1:2. Finally, we find that spontaneous calving of dunes does not play an important role in shaping the size distributions in barchan swarms.

Suggested Citation

  • Robson, Dominic T. & Annibale, Alessia & Baas, Andreas C.W., 2022. "Reproducing size distributions of swarms of barchan dunes on Mars and Earth using a mean-field model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 606(C).
    • Handle: RePEc:eee:phsmap:v:606:y:2022:i:c:s0378437122006483
    DOI: 10.1016/j.physa.2022.128042
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437122006483
    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.2022.128042?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. Jae Hwan Lee & A. O. Sousa & E. J. R. Parteli & H. J. Herrmann, 2005. "Modelling Formation And Evolution Of Transverse Dune Fields," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 16(12), pages 1879-1892.
    2. Tsallis, Constantino & Stariolo, Daniel A., 1996. "Generalized simulated annealing," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 233(1), pages 395-406.
    3. Parteli, E.J.R. & Herrmann, H.J., 2003. "A simple model for a transverse dune field," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 327(3), pages 554-562.
    4. M. Mézard & G. Parisi, 2001. "The Bethe lattice spin glass revisited," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 20(2), pages 217-233, March.
    5. Mathieu Génois & Pascal Hersen & Sylvain Pont & Guillaume Grégoire, 2013. "Spatial structuring and size selection as collective behaviours in an agent-based model for barchan fields," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 86(11), pages 1-13, November.
    6. Veit Schwämmle & Hans J. Herrmann, 2003. "Solitary wave behaviour of sand dunes," Nature, Nature, vol. 426(6967), pages 619-620, December.
    7. Lima, A.R & Sauermann, G & Herrmann, H.J & Kroy, K, 2002. "Modelling a dune field," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 310(3), pages 487-500.
    8. Hicham Elbelrhiti & Philippe Claudin & Bruno Andreotti, 2005. "Field evidence for surface-wave-induced instability of sand dunes," Nature, Nature, vol. 437(7059), pages 720-723, September.
    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. Shi, Feng & Huang, Ning, 2012. "Measurement and simulation of sand saltation movement under fluctuating wind in a natural field environment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(3), pages 474-484.
    2. Melo, Hygor P.M. & Parteli, Eric J.R. & Andrade, José S. & Herrmann, Hans J., 2012. "Linear stability analysis of transverse dunes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(20), pages 4606-4614.
    3. Zhang, Yong & Sun, HongGuang & Stowell, Harold H. & Zayernouri, Mohsen & Hansen, Samantha E., 2017. "A review of applications of fractional calculus in Earth system dynamics," Chaos, Solitons & Fractals, Elsevier, vol. 102(C), pages 29-46.
    4. Xinchun Liu & Yongde Kang & Hongna Chen & Hui Lu, 2021. "Application of a High-Precision Aeolian Sand Collector in Field Wind and Sand Surveys," IJERPH, MDPI, vol. 18(14), pages 1-19, July.
    5. Rubenthaler, Sylvain & Rydén, Tobias & Wiktorsson, Magnus, 2009. "Fast simulated annealing in with an application to maximum likelihood estimation in state-space models," Stochastic Processes and their Applications, Elsevier, vol. 119(6), pages 1912-1931, June.
    6. Moriguchi, Kai & Ueki, Tatsuhito & Saito, Masashi, 2020. "Establishing optimal forest harvesting regulation with continuous approximation," Operations Research Perspectives, Elsevier, vol. 7(C).
    7. Fabbri, Ricardo & Gonçalves, Wesley N. & Lopes, Francisco J.P. & Bruno, Odemir M., 2012. "Multi-q pattern analysis: A case study in image classification," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(19), pages 4487-4496.
    8. Ostilli, M., 2024. "Exact results for the Ising model on a small-world network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 641(C).
    9. Li, Jiang-Cheng & Tao, Chen & Li, Hai-Feng, 2022. "Dynamic forecasting performance and liquidity evaluation of financial market by Econophysics and Bayesian methods," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 588(C).
    10. Menin, Olavo H. & Bauch, Chris T., 2018. "Solving the patient zero inverse problem by using generalized simulated annealing," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 490(C), pages 1513-1521.
    11. Dukkipati, Ambedkar & Bhatnagar, Shalabh & Murty, M. Narasimha, 2007. "On measure-theoretic aspects of nonextensive entropy functionals and corresponding maximum entropy prescriptions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 384(2), pages 758-774.
    12. Chen, Yu-Wang & Zhu, Yao-Jia & Yang, Gen-Ke & Lu, Yong-Zai, 2011. "Improved extremal optimization for the asymmetric traveling salesman problem," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(23), pages 4459-4465.
    13. Aristoklis D. Anastasiadis & Marcelo P. Albuquerque & Marcio P. Albuquerque & Diogo B. Mussi, 2010. "Tsallis q-exponential describes the distribution of scientific citations—a new characterization of the impact," Scientometrics, Springer;Akadémiai Kiadó, vol. 83(1), pages 205-218, April.
    14. Takaya Fukui & Seisho Sato & Akihiko Takahashi, 2016. "Style Analysis with Particle Filtering and Generalized Simulated Annealing," CIRJE F-Series CIRJE-F-1010, CIRJE, Faculty of Economics, University of Tokyo.
    15. Caravelli, F., 2023. "On forest expansions for two-body partition functions on tree-like interaction graphs," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 609(C).
    16. Anastasiadis, Aristoklis D. & Magoulas, George D., 2004. "Nonextensive statistical mechanics for hybrid learning of neural networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 344(3), pages 372-382.
    17. Barucca, Paolo, 2020. "Spectral density of equitable core–periphery graphs," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 553(C).
    18. Wael Korani & Malek Mouhoub, 2021. "Review on Nature-Inspired Algorithms," SN Operations Research Forum, Springer, vol. 2(3), pages 1-26, September.
    19. Thomas Welchowski & Matthias Schmid, 2019. "Sparse kernel deep stacking networks," Computational Statistics, Springer, vol. 34(3), pages 993-1014, September.
    20. Akın, Hasan, 2023. "The classification of disordered phases of mixed spin (2,1/2) Ising model and the chaoticity of the corresponding dynamical system," Chaos, Solitons & Fractals, Elsevier, vol. 167(C).

    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:606:y:2022:i:c:s0378437122006483. 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.