Sensitivity analysis in periodic matrix models: A postscript to Caswell and Trevisan

Periodic matrix population models are a useful approach t@ modelling cyclic variations in demographic rates. Caswell and Trevisan [1] introduced the perturbation analysis (sensitivities and elasticities) @f 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 @r when cycles are composed of many phases. We present a more efficient method, based @n 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 @f 26 within-year Leslie matrices of size 287 × 287. The time saving may become particularly significant when sensitivities are used in Monte Carlo or bootstrap simulations.