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Parameter identification in population models for insects using trap data

Parameter identification in population models for insects using trap data. Dufourd Claire, Weldon Christopher, Anguelov Roumen, Dumont Yves. 2013. Biomath, 2 (2), 10 p.
http://dx.doi.org/10.11145/j.biomath.2013.12.061
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Résumé : raps are used commonly to establish the presence and population density of pest insects. Deriving estimates of population density from trap data typically requires knowledge of the properties of the trap (e.g. active area, strength of attraction) as well as some properties of the population (e.g. diffusion rate). These parameters are seldom exactly known, and also tend to vary in time, (e.g. as a result of changing weather conditions, insect physiological condition). We propose using a set of traps in such a configuration that they trap insects at different rates. The properties of the traps and the characteristics of the population, including its density, are simultaneously estimated from the insects captured in these traps. The basic model is an advection-diffusion equation where the traps are represented via a suitable advection term defined by the active area of the traps. The values of the unknown parameters of the model are derived by solving an optimization problem. Numerical simulations demonstrate the accuracy and the robustness of this method of parameter identification. (Résumé d'auteur)

Mots-clés Agrovoc : Modèle mathématique, Lutte anti-insecte, Bactrocera, Dynamique des populations, Piégeage des animaux, Piège, Lâcher d'insectes stériles

Mots-clés géographiques Agrovoc : Afrique du Sud

Mots-clés complémentaires : Bactrocera invandens

Classification Agris : U10 - Méthodes mathématiques et statistiques
H10 - Ravageurs des plantes
U40 - Méthodes de relevé

Axe stratégique Cirad : Axe 1 (2005-2013) - Intensification écologique

Auteurs et affiliations

  • Dufourd Claire, University of Pretoria (ZAF)
  • Weldon Christopher, University of Pretoria (ZAF)
  • Anguelov Roumen, University of Pretoria (ZAF)
  • Dumont Yves, CIRAD-BIOS-UMR AMAP (FRA)

Source : Cirad - Agritrop

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