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

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  • 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
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    References listed on IDEAS

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    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.
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    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. 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.
    3. 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.

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