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

Lesnoff M., Ezanno P., Caswell H.. 2003. Mathematical and Computer Modelling, 37 : p. 945-948.

DOI: 10.1016/S0895-7177(03)00110-9

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 : modèle mathématique; dynamique des populations; technique analytique; Élasticité; modélisation mathématique

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