IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v177y2023ics0960077923010962.html
   My bibliography  Save this article

Modelling and bifurcation analysis of spatiotemporal hormetic effects on pest control

Author

Listed:
  • Song, Liwen
  • Tang, Sanyi
  • Xiang, Changcheng
  • Cheke, Robert A.
  • He, Sha

Abstract

A discrete hormetic Ricker model (HRM) of a population with instant pulse perturbation between two consecutive generations can generate hormetic effects. For example, analysis of complex three-parameter spaces with the intrinsic growth rate, intervention strength, and dose timing as parameters revealed hormetic biphasic dose and dose timing responses. These responses exhibited either a J-shaped or an inverted U-shaped pattern, yielding a homeostatic change or a catastrophic shift and hormetic effects in many parameter regions. However, whether it is pest control or the effectiveness of treatments of tumors with radiotherapy and/or chemotherapy, the phenomenon is linked to the size of the space in which the parameters are located. Thus, the occurrence of hormetic effects is associated with spatiotemporal heterogeneity. To show this, we have developed an integro-difference equation based on the HRM that can describe the complex dynamics and hormetic effects in pest populations in two-dimensional space. Our findings indicate that factors such as the spatial domain, spatial grid, the dosage, and timing of control applications, and the intrinsic growth rate of the pest can significantly affect the spatial and temporal characteristics of pest populations and diverse biological phenomena in two-dimensional space. In particular, under the same size of spatial domains (or the same number of spatial grids), the smaller the spatial grids (or the larger the spatial domain), the stronger the hormetic effects of low dose stimulation and high dose inhibition will be. These factors include larger maximum responses and higher toxic thresholds. Therefore, optimal pest control measures should not only rely on the efficiency of a pesticide and its application time but should also be based on the spatial domain and the designing of reasonable grid-based control strategies to avoid hormetic effects.

Suggested Citation

  • Song, Liwen & Tang, Sanyi & Xiang, Changcheng & Cheke, Robert A. & He, Sha, 2023. "Modelling and bifurcation analysis of spatiotemporal hormetic effects on pest control," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).
  • Handle: RePEc:eee:chsofr:v:177:y:2023:i:c:s0960077923010962
    DOI: 10.1016/j.chaos.2023.114194
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077923010962
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.chaos.2023.114194?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. Edward J Calabrese & Linda A Baldwin, 2003. "Toxicology rethinks its central belief," Nature, Nature, vol. 421(6924), pages 691-692, February.
    2. Marten Scheffer & Steve Carpenter & Jonathan A. Foley & Carl Folke & Brian Walker, 2001. "Catastrophic shifts in ecosystems," Nature, Nature, vol. 413(6856), pages 591-596, October.
    3. Li, Qian & Xiao, Yanni, 2019. "Bifurcation analyses and hormetic effects of a discrete-time tumor model," Applied Mathematics and Computation, Elsevier, vol. 363(C), pages 1-1.
    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. Yan, Dingding & He, Mengqi & Cheke, Robert A. & Zhang, Qianqian & Tang, Sanyi, 2024. "A stochastic hormesis Ricker model and its application to multiple fields," Chaos, Solitons & Fractals, Elsevier, vol. 185(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. Ian Hodge & William M. Adams, 2016. "Short-Term Projects versus Adaptive Governance: Conflicting Demands in the Management of Ecological Restoration," Land, MDPI, vol. 5(4), pages 1-17, November.
    2. Jenerette, G. Darrel & Lal, Rattan, 2007. "Modeled carbon sequestration variation in a linked erosion–deposition system," Ecological Modelling, Elsevier, vol. 200(1), pages 207-216.
    3. Rustici, M. & Ceccherelli, G. & Piazzi, L., 2017. "Predator exploitation and sea urchin bistability: Consequence on benthic alternative states," Ecological Modelling, Elsevier, vol. 344(C), pages 1-5.
    4. Rodrigues, João & Domingos, Tiago & Conceição, Pedro & Belbute, José, 2005. "Constraints on dematerialisation and allocation of natural capital along a sustainable growth path," Ecological Economics, Elsevier, vol. 54(4), pages 382-396, September.
    5. Xu Luo & Hong S. He & Yu Liang & Jacob S. Fraser & Jialin Li, 2018. "Mitigating the Effects of Climate Change through Harvesting and Planting in Boreal Forests of Northeastern China," Sustainability, MDPI, vol. 10(10), pages 1-20, October.
    6. Carlos Sanz-Lazaro, 2019. "A Framework to Advance the Understanding of the Ecological Effects of Extreme Climate Events," Sustainability, MDPI, vol. 11(21), pages 1-18, October.
    7. Teh, Su Yean & DeAngelis, Donald L. & Sternberg, Leonel da Silveira Lobo & Miralles-Wilhelm, Fernando R. & Smith, Thomas J. & Koh, Hock-Lye, 2008. "A simulation model for projecting changes in salinity concentrations and species dominance in the coastal margin habitats of the Everglades," Ecological Modelling, Elsevier, vol. 213(2), pages 245-256.
    8. Grolleau, Gilles & Ibanez, Lisette & Mzoughi, Naoufel, 2020. "Moral judgment of environmental harm caused by a single versus multiple wrongdoers: A survey experiment," Ecological Economics, Elsevier, vol. 170(C).
    9. Kong, Xiang-Zhen & Jørgensen, Sven Erik & He, Wei & Qin, Ning & Xu, Fu-Liu, 2013. "Predicting the restoration effects by a structural dynamic approach in Lake Chaohu, China," Ecological Modelling, Elsevier, vol. 266(C), pages 73-85.
    10. Paul L. G. Vlek & Asia Khamzina & Hossein Azadi & Anik Bhaduri & Luna Bharati & Ademola Braimoh & Christopher Martius & Terry Sunderland & Fatemeh Taheri, 2017. "Trade-Offs in Multi-Purpose Land Use under Land Degradation," Sustainability, MDPI, vol. 9(12), pages 1-19, November.
    11. Sonia Kéfi & Vishwesha Guttal & William A Brock & Stephen R Carpenter & Aaron M Ellison & Valerie N Livina & David A Seekell & Marten Scheffer & Egbert H van Nes & Vasilis Dakos, 2014. "Early Warning Signals of Ecological Transitions: Methods for Spatial Patterns," PLOS ONE, Public Library of Science, vol. 9(3), pages 1-13, March.
    12. Monika Winn & Manfred Kirchgeorg & Andrew Griffiths & Martina K. Linnenluecke & Elmar Günther, 2011. "Impacts from climate change on organizations: a conceptual foundation," Business Strategy and the Environment, Wiley Blackwell, vol. 20(3), pages 157-173, March.
    13. Duncan A. O’Brien & Smita Deb & Gideon Gal & Stephen J. Thackeray & Partha S. Dutta & Shin-ichiro S. Matsuzaki & Linda May & Christopher F. Clements, 2023. "Early warning signals have limited applicability to empirical lake data," Nature Communications, Nature, vol. 14(1), pages 1-14, December.
    14. Can Askan Mavi & Nicolas Quérou, 2020. "Common pool resource management and risk perceptions," DEM Discussion Paper Series 20-25, Department of Economics at the University of Luxembourg.
    15. Shana M. Sundstrom & Craig R. Allen & David G. Angeler, 2020. "Scaling and discontinuities in the global economy," Journal of Evolutionary Economics, Springer, vol. 30(2), pages 319-345, April.
    16. Therese Lindahl & Anne-Sophie Crépin & Caroline Schill, 2016. "Potential Disasters can Turn the Tragedy into Success," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 65(3), pages 657-676, November.
    17. Yan Cheng & Stefan Oehmcke & Martin Brandt & Lisa Rosenthal & Adrian Das & Anton Vrieling & Sassan Saatchi & Fabien Wagner & Maurice Mugabowindekwe & Wim Verbruggen & Claus Beier & Stéphanie Horion, 2024. "Scattered tree death contributes to substantial forest loss in California," Nature Communications, Nature, vol. 15(1), pages 1-13, December.
    18. Mariani, Fabio & Pérez-Barahona, Agustín & Raffin, Natacha, 2010. "Life expectancy and the environment," Journal of Economic Dynamics and Control, Elsevier, vol. 34(4), pages 798-815, April.
    19. Kong, Xiangzhen & He, Wei & Liu, Wenxiu & Yang, Bin & Xu, Fuliu & Jørgensen, Sven Erik & Mooij, Wolf M., 2016. "Changes in food web structure and ecosystem functioning of a large, shallow Chinese lake during the 1950s, 1980s and 2000s," Ecological Modelling, Elsevier, vol. 319(C), pages 31-41.
    20. Ignacio C. Fernández & David Manuel-Navarrete & Robinson Torres-Salinas, 2016. "Breaking Resilient Patterns of Inequality in Santiago de Chile: Challenges to Navigate towards a More Sustainable City," Sustainability, MDPI, vol. 8(8), pages 1-19, August.

    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:177:y:2023:i:c:s0960077923010962. 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.