Sensitivity analysis in periodic matrix models: A postscript to Caswell and Trevisan
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Mathematical and Computer Modelling;37(9-10): 945-948
Permanent link to this item: http://hdl.handle.net/10568/29209
Periodic matrix population models are a useful approach to modelling cyclic variations in demographic rates. Caswell and Trevisan  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.