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Assessing the impact of biological control of Plutella xylostella through the application of Lotka–Volterra model

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  • Tonnang, Henri E.Z.
  • Nedorezov, Lev V.
  • Ochanda, Horace
  • Owino, John
  • Löhr, Bernhard

Abstract

The Lotka–Volterra model was applied to the population densities of diamondback moth (DBM), Plutella xylostella (L.) and its exotic larval parasitoid Diadegma semiclausum (Hellen) data that was collected earlier by icipe's DBM biological control team. The collections were done for 15 months before the release and 36 months after release of the parasitoid in two areas; in Werugha, Coast Province of Kenya and Tharuni, Central Province of Kenya, respectively. For each area in pre- and post-release periods, we estimated Lotka–Volterra model parameters from the minimization of the loss function between the theoretical and experimental time-series datasets following the Nelder-Mead multidimensional method. The model estimated a reduction in the value of the steady state of DBM population from 4.86 to 2.17 in Werugha and from 6.11 to 3.76 and 3.45 (with and without exclusion of the time before D. semiclausum recovery) in Tharuni when transiting from the pre- and post-release periods, respectively. This change was a consequence of the newly introduced parasitoid, in the areas. The study presented a successful and detailed technique for non-linear model parameters restoration which was demonstrated by the correct mimicking of empirical datasets from the classical biological control with D. semiclausum, in different areas of Kenya. The applied model has measured the parasitoids impact on the DBM biological control through a quantitative estimate of the effectiveness of the newly introduced species D. semiclausum. These equations may therefore be used as tool for decision making in the implementation for such pests’ management system strategy.

Suggested Citation

  • Tonnang, Henri E.Z. & Nedorezov, Lev V. & Ochanda, Horace & Owino, John & Löhr, Bernhard, 2009. "Assessing the impact of biological control of Plutella xylostella through the application of Lotka–Volterra model," Ecological Modelling, Elsevier, vol. 220(1), pages 60-70.
    • Handle: RePEc:eee:ecomod:v:220:y:2009:i:1:p:60-70
    DOI: 10.1016/j.ecolmodel.2008.09.002
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    References listed on IDEAS

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    1. Park, Young-Seuk & Rabinovich, Jorge & Lek, Sovan, 2007. "Sensitivity analysis and stability patterns of two-species pest models using artificial neural networks," Ecological Modelling, Elsevier, vol. 204(3), pages 427-438.
    2. Bisignanesi, V. & Borgas, M.S., 2007. "Models for integrated pest management with chemicals in atmospheric surface layers," Ecological Modelling, Elsevier, vol. 201(1), pages 2-10.
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    Cited by:

    1. Molter, Alexandre & Bezerra, João I.M. & Rafikova, Elvira & Nava, Dori E. & Rafikov, Marat, 2023. "Dynamics and biological control of the sugarcane borer with two parasitoids," Ecological Modelling, Elsevier, vol. 481(C).
    2. Tonnang, Henri E.Z. & Hervé, Bisseleua D.B. & Biber-Freudenberger, Lisa & Salifu, Daisy & Subramanian, Sevgan & Ngowi, Valentine B. & Guimapi, Ritter Y.A. & Anani, Bruce & Kakmeni, Francois M.M. & Aff, 2017. "Advances in crop insect modelling methods—Towards a whole system approach," Ecological Modelling, Elsevier, vol. 354(C), pages 88-103.
    3. Tonnang, Henri E.Z. & Nedorezov, Lev V. & Owino, John O. & Ochanda, Horace & Löhr, Bernhard, 2009. "Evaluation of discrete host–parasitoid models for diamondback moth and Diadegma semiclausum field time population density series," Ecological Modelling, Elsevier, vol. 220(15), pages 1735-1744.

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