IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v165y2022ip2s0960077922009432.html
   My bibliography  Save this article

Spatial phase synchronisation of pistachio alternate bearing: Common-noise-induced synchronisation of coupled chaotic oscillators

Author

Listed:
  • Sakai, Kenshi
  • Brown, Patrick H.
  • Rosenstock, Todd S.
  • Upadhyaya, Shrinivasa K.
  • Hastings, Alan

Abstract

The collective dynamics of chaotic oscillators has drawn considerable attention in numerous fields, including agriculture and forestry. The alternate bearing of tree crops is a phenomenon in which a year of heavy yield is followed by a year of light yield. This phenomenon has been conventionally investigated using a tent map known as a resource budget model. Alternate fruiting is caused by strong synchronisation among trees in an orchard and is a major problem in fruit growing. To develop control methods for alternate fruiting, it is essential to understand the strength of synchronisation at the individual and population levels of trees in orchards and the mechanism of alternate fruiting. In this study, in-phase/out-of-phase analysis was applied to the yield data of a 9562 pistachio (Pistacia vera L.) population, and the phase transitions and mode-locking in the orchard were revealed. Using a developed network model consisting of diffusively coupled chaotic oscillators on which common noise was imposed identically, the phase transitions, mode-locking, and 1/3 power-law scaling spatial correlation were confirmed mathematically. Furthermore, the manner in which three essential factors, i.e. common noise, direct coupling, and the cropping coefficient gradient, explain the spatial synchrony of the orchard was elucidated. The proposed methodology based on nonlinear dynamics would be useful for pomology, forestry, and ecosystem management.

Suggested Citation

  • Sakai, Kenshi & Brown, Patrick H. & Rosenstock, Todd S. & Upadhyaya, Shrinivasa K. & Hastings, Alan, 2022. "Spatial phase synchronisation of pistachio alternate bearing: Common-noise-induced synchronisation of coupled chaotic oscillators," Chaos, Solitons & Fractals, Elsevier, vol. 165(P2).
    • Handle: RePEc:eee:chsofr:v:165:y:2022:i:p2:s0960077922009432
    DOI: 10.1016/j.chaos.2022.112764
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077922009432
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2022.112764?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. Suzanne W. Simard & David A. Perry & Melanie D. Jones & David D. Myrold & Daniel M. Durall & Randy Molina, 1997. "Net transfer of carbon between ectomycorrhizal tree species in the field," Nature, Nature, vol. 388(6642), pages 579-582, August.
    2. Marcel G. A. van der Heijden & John N. Klironomos & Margot Ursic & Peter Moutoglis & Ruth Streitwolf-Engel & Thomas Boller & Andres Wiemken & Ian R. Sanders, 1998. "Mycorrhizal fungal diversity determines plant biodiversity, ecosystem variability and productivity," Nature, Nature, vol. 396(6706), pages 69-72, November.
    3. Andrew E. Noble & Jonathan Machta & Alan Hastings, 2015. "Emergent long-range synchronization of oscillating ecological populations without external forcing described by Ising universality," Nature Communications, Nature, vol. 6(1), pages 1-10, May.
    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. Chauhan, Swati & Dixit, Shiva & Shrimali, Manish Dev & Sakai, Kenshi & Prasad, Awadhesh, 2024. "Constant Production in an Orchard: An interaction-based approach," Chaos, Solitons & Fractals, Elsevier, vol. 181(C).

    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. Guoyong Yan & Chunnan Fan & Junqiang Zheng & Guancheng Liu & Jinghua Yu & Zhongling Guo & Wei Cao & Lihua Wang & Wenjie Wang & Qingfan Meng & Junhui Zhang & Yan Li & Jinping Zheng & Xiaoyang Cui & Xia, 2024. "Forest carbon stocks increase with higher dominance of ectomycorrhizal trees in high latitude forests," Nature Communications, Nature, vol. 15(1), pages 1-11, December.
    2. Gábor Pete & Ádám Timár & Sigurdur Örn Stefánsson & Ivan Bonamassa & Márton Pósfai, 2024. "Physical networks as network-of-networks," Nature Communications, Nature, vol. 15(1), pages 1-8, December.
    3. Marina E Wosniack & Marcos C Santos & Ernesto P Raposo & Gandhi M Viswanathan & Marcos G E da Luz, 2017. "The evolutionary origins of Lévy walk foraging," PLOS Computational Biology, Public Library of Science, vol. 13(10), pages 1-31, October.
    4. Vítězslav Vlček & Miroslav Pohanka, 2020. "Glomalin - an interesting protein part of the soil organic matter," Soil and Water Research, Czech Academy of Agricultural Sciences, vol. 15(2), pages 67-74.
    5. Gowdy, John & Seidl, Irmi, 2004. "Economic man and selfish genes: the implications of group selection for economic valuation and policy," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 33(3), pages 343-358, July.
    6. Guoxi Shi & Yongjun Liu & Lin Mao & Shengjing Jiang & Qi Zhang & Gang Cheng & Lizhe An & Guozhen Du & Huyuan Feng, 2014. "Relative Importance of Deterministic and Stochastic Processes in Driving Arbuscular Mycorrhizal Fungal Assemblage during the Spreading of a Toxic Plant," PLOS ONE, Public Library of Science, vol. 9(4), pages 1-9, April.
    7. Chuanhong Xu & Wenhua Xiang & Mengmeng Gou & Liang Chen & Pifeng Lei & Xi Fang & Xiangwen Deng & Shuai Ouyang, 2018. "Effects of Forest Restoration on Soil Carbon, Nitrogen, Phosphorus, and Their Stoichiometry in Hunan, Southern China," Sustainability, MDPI, vol. 10(6), pages 1-14, June.
    8. Melea Press, 2021. "Developing a strong sustainability research program in marketing," AMS Review, Springer;Academy of Marketing Science, vol. 11(1), pages 96-114, June.
    9. Ch.D.B. Hawkins & A. Dhar, 2013. "Birch (Betula papyrifera) × white spruce (Picea glauca) interactions in mixedwood stands: implications for management," Journal of Forest Science, Czech Academy of Agricultural Sciences, vol. 59(4), pages 137-149.
    10. Wang, Weiyan & Guo, Wenjia & Dong, Jiangyao & Zhang, Houping & Liao, Yuncheng & Wen, Xiaoxia, 2024. "Ridge-furrow planting patterns with film mulching improve water use efficiency by enhancing arbuscular mycorrhizal fungi in the rhizosphere and endophyte of summer maize," Agricultural Water Management, Elsevier, vol. 296(C).
    11. Zachary Michael Isaac Gould & Vikram Mohanty & Georg Reichard & Walid Saad & Tripp Shealy & Susan Day, 2023. "A Mycorrhizal Model for Transactive Solar Energy Markets with Battery Storage," Energies, MDPI, vol. 16(10), pages 1-19, May.
    12. Veresoglou, Stavros D. & Halley, John M., 2012. "A model that explains diversity patterns of arbuscular mycorrhizas," Ecological Modelling, Elsevier, vol. 231(C), pages 146-152.
    13. Laura A Schreeg & W John Kress & David L Erickson & Nathan G Swenson, 2010. "Phylogenetic Analysis of Local-Scale Tree Soil Associations in a Lowland Moist Tropical Forest," PLOS ONE, Public Library of Science, vol. 5(10), pages 1-10, October.
    14. Manfred Füllsack & Daniel Reisinger & Marie Kapeller & Georg Jäger, 2022. "Early warning signals from the periphery," Journal of Computational Social Science, Springer, vol. 5(1), pages 665-685, May.
    15. Matthew Chekwube Enebe & Mariana Erasmus, 2023. "Symbiosis—A Perspective on the Effects of Host Traits and Environmental Parameters in Arbuscular Mycorrhizal Fungal Richness, Colonization and Ecological Functions," Agriculture, MDPI, vol. 13(10), pages 1-28, September.
    16. T E Anne Cotton & Alex J Dumbrell & Thorunn Helgason, 2014. "What Goes in Must Come out: Testing for Biases in Molecular Analysis of Arbuscular Mycorrhizal Fungal Communities," PLOS ONE, Public Library of Science, vol. 9(10), pages 1-7, October.
    17. Agata Klimkowska & Klara Goldstein & Tomasz Wyszomirski & Łukasz Kozub & Mateusz Wilk & Camiel Aggenbach & Jan P Bakker & Heinrich Belting & Boudewijn Beltman & Volker Blüml & Yzaak De Vries & Beate G, 2019. "Are we restoring functional fens? – The outcomes of restoration projects in fens re-analysed with plant functional traits," PLOS ONE, Public Library of Science, vol. 14(4), pages 1-22, April.
    18. Rob Roggema, 2024. "Let the Trees ‘Talk’: Giving Voice to Nature through an Immersive Experience," World, MDPI, vol. 5(2), pages 1-12, May.
    19. Xi Wei & Wei Song & Ya Shao & Xiangwen Cai, 2022. "Progress of Ecological Restoration Research Based on Bibliometric Analysis," IJERPH, MDPI, vol. 20(1), pages 1-21, December.
    20. Mengdie Feng & Dengyu Zhang & Binghui He & Ke Liang & Peidong Xi & Yunfei Bi & Yingying Huang & Dongxin Liu & Tianyang Li, 2021. "Characteristics of Soil C, N, and P Stoichiometry as Affected by Land Use and Slope Position in the Three Gorges Reservoir Area, Southwest China," Sustainability, MDPI, vol. 13(17), pages 1-13, September.

    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:165:y:2022:i:p2:s0960077922009432. 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.