Sensitivity analysis in periodic matrix models : A postscript to caswell and trevisan

Lesnoff Matthieu, Ezanno Pauline, Caswell Hal. 2003. Sensitivity analysis in periodic matrix models : A postscript to caswell and trevisan. Mathematical and Computer Modelling, 37 : 945-948.

Résumé : Periodic matrix population models are a useful approach to modelling cyclic variations in demographic rates. Caswell and Trevisan [1] introduced the perturbation analysis (sensitivities and elasticities) of the per-cycle population growth rate for such models. Although powerful, their method can be time-consuming when the dimension of the matrices is large or when cycles are composed of many phases. We present a more efficient method, based on a very simple matrix product. We compared the two methods for matrices of different sizes. We observed a reduction in calculation time on the order of 24% with the new method for a set of 26 within-year Leslie matrices of size 287 x 287. The time saving may become particularly significant when sensitivities are used in Monte Carlo or bootstrap simulations.

Mots-clés Agrovoc : modèle mathématique, dynamique des populations, technique analytique, Élasticité

Mots-clés complémentaires : Modélisation mathématique

Classification Agris : U10 - Informatique, mathématiques et statistiques

Auteurs et affiliations

• Lesnoff Matthieu, CIRAD-EMVT-PPA (ETH) ORCID: 0000-0002-5205-9763
• Ezanno Pauline, CIRAD-EMVT-PPA (FRA)
• Caswell Hal, WHOI (USA)

Source : Cirad - Agritrop (https://agritrop.cirad.fr/514743/)

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