IDEAS home Printed from https://ideas.repec.org/a/eee/ecomod/v212y2008i1p162-170.html
   My bibliography  Save this article

Green oak leaf roller moth dynamics: An application of discrete time mathematical models

Author

Listed:
  • Nedorezov, Lev V.
  • Sadykova, Dinara L.

Abstract

Discrete mathematical model is selected for description of green oak leaf roller (Tortrix viridana L.) population dynamics. Experimental data set from Rubtsov [Rubtsov, V.V., 1992. Models of Oscillation Processes in Forest Ecosystems, Forest Institute, Moscow, Russian Federation, p. 39 (in Russian)] is analyzed from the standpoint of phenomenological theory of forest insect population dynamics [Isaev, A.S., Khlebopros, R.G., Nedorezov, L.V., Kiselev, V.V., Kondakov, Yu. P., 1984. Dynamics of Forest Insects Populations, USSR, Nauka, Novosibirsk, p. 224 (in Russian); Isaev, A.S., Khlebopros, R.G., Nedorezov, L.V., Kiselev, V.V., Kondakov, Yu.P., Soukhovol'sky, V.G., 2001. Population Dynamics of Forest Insects, Russian Federation, Nauka, Moscow, p. 347 (in Russian)]. For checking hypotheses confidence for fitting of experimental time series, Moran–Ricker model, Maynard Smith–Slatkin model, and some others are used. Selection of statistical criteria for estimating parameter's values is discussed. In addition, probabilities of realizations of several dynamical regimes are estimated.

Suggested Citation

  • Nedorezov, Lev V. & Sadykova, Dinara L., 2008. "Green oak leaf roller moth dynamics: An application of discrete time mathematical models," Ecological Modelling, Elsevier, vol. 212(1), pages 162-170.
    • Handle: RePEc:eee:ecomod:v:212:y:2008:i:1:p:162-170
    DOI: 10.1016/j.ecolmodel.2007.10.024
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0304380007005078
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.ecolmodel.2007.10.024?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. Simon N. Wood, 2001. "Minimizing Model Fitting Objectives That Contain Spurious Local Minima by Bootstrap Restarting," Biometrics, The International Biometric Society, vol. 57(1), pages 240-244, March.
    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. Kapeller, Stefan & Schroeder, Hilke & Schueler, Silvio, 2011. "Modelling the spatial population dynamics of the green oak leaf roller (Tortrix viridana) using density dependent competitive interactions: Effects of herbivore mortality and varying host-plant qualit," Ecological Modelling, Elsevier, vol. 222(7), pages 1293-1302.
    2. Neverova, G.P. & Yarovenko, I.P. & Frisman, E.Ya., 2016. "Dynamics of populations with delayed density dependent birth rate regulation," Ecological Modelling, Elsevier, vol. 340(C), pages 64-73.
    3. Bo Li & Zimeng Yuan & Zohreh Eskandari, 2023. "Dynamics and Bifurcations of a Discrete-Time Moran-Ricker Model with a Time Delay," Mathematics, MDPI, vol. 11(11), pages 1-14, May.

    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. Daniel Rojas-Diaz & Alexandra Catano-Lopez & Carlos M. Vélez & Santiago Ortiz & Henry Laniado, 2024. "Confidence sub-contour box: an alternative to traditional confidence intervals," Computational Statistics, Springer, vol. 39(5), pages 2821-2858, July.
    2. Emmanuel Kasongo Yakusu & Joris Van Acker & Hans Van de Vyver & Nils Bourland & José Mbifo Ndiapo & Théophile Besango Likwela & Michel Lokonda Wa Kipifo & Amand Mbuya Kankolongo & Jan Van den Bulcke &, 2023. "Ground-based climate data show evidence of warming and intensification of the seasonal rainfall cycle during the 1960–2020 period in Yangambi, central Congo Basin," Climatic Change, Springer, vol. 176(10), pages 1-28, October.
    3. William G Meikle & Niels Holst & Théotime Colin & Milagra Weiss & Mark J Carroll & Quinn S McFrederick & Andrew B Barron, 2018. "Using within-day hive weight changes to measure environmental effects on honey bee colonies," PLOS ONE, Public Library of Science, vol. 13(5), pages 1-21, May.
    4. Andrews, Jeffrey L., 2018. "Addressing overfitting and underfitting in Gaussian model-based clustering," Computational Statistics & Data Analysis, Elsevier, vol. 127(C), pages 160-171.
    5. Steffen Rebennack & Vitaliy Krasko, 2020. "Piecewise Linear Function Fitting via Mixed-Integer Linear Programming," INFORMS Journal on Computing, INFORMS, vol. 32(2), pages 507-530, April.
    6. Sun, Yan & Wan, Chuang & Zhang, Wenyang & Zhong, Wei, 2024. "A Multi-Kink quantile regression model with common structure for panel data analysis," Journal of Econometrics, Elsevier, vol. 239(2).
    7. William G Meikle & Vanessa Corby-Harris & Mark J Carroll & Milagra Weiss & Lucy A Snyder & Charlotte A D Meador & Eli Beren & Nicholas Brown, 2019. "Exposure to sublethal concentrations of methoxyfenozide disrupts honey bee colony activity and thermoregulation," PLOS ONE, Public Library of Science, vol. 14(3), pages 1-21, March.
    8. Spada, Matteo & Paraschiv, Florentina & Burgherr, Peter, 2018. "A comparison of risk measures for accidents in the energy sector and their implications on decision-making strategies," Energy, Elsevier, vol. 154(C), pages 277-288.

    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:ecomod:v:212:y:2008:i:1:p:162-170. 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/ecological-modelling .

    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.