Sensitivity analysis of periodic matrix population models

Perturbation analysis of nonlinear matrix population models

Perturbation analysis examines the response of a model to changes in its parameters. It is commonly applied to population growth rates calculated from linear models, but there has been no general approach to the analysis of nonlinear models. Nonlinearities in demographic models may arise due to density-dependence, frequency-dependence (in 2-sex models), feedback through the environment or the e...

Transient sensitivity analysis for nonlinear population models

1. Performing sensitivity analyses for deterministic multi-stage, multi-parameter population models that include nonlinearity presents a significant computational challenge. 2. We implement a standard forward sensitivity analysis to evaluate partial derivatives of population state variables with respect to parameters at all times for which the solution is known.We present a hybrid Matlab/Maple ...

ANN-DEA Integrated Approach for Sensitivity Analysis in Efficiency Models

Here, we examine the capability of artificial neural networks (ANNs) in sensitivity analysis of the parameters of efficiency analysis model, namely data envelopment analysis (DEA). We are mainly interested to observe the required change of a group of parameters when another group goes under a managerial change, maintaining the score of the efficiency. In other words, this methodology provides a...

Transient population dynamics in periodic matrix models: methodology and effects of cyclic permutations.

Many biological populations are subject to periodically changing environments such as years with or without fire, or rotation of crop types. The dynamics and management options for such populations are frequently investigated using periodic matrix models. However the analysis is usually limited to long-term results (asymptotic population growth rate and its sensitivity to perturbations of vital...

Matrix Models and Population Dynamics