Elasticity and Sensitivity of the Vital rates

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This workflow calculates the Elasticity and Sensitivity of population growth rate with respect to various vital rates. The goal in both cases is to determine which vital rates has/ve the most influence on population growth rate (λ).

Elasticity and Sensitivity: Sensitivity and elasticity analyses are prospective analyses.

a) The sensitivity matrix: The sensitivity describes the effect on λ of changes in vital rates of the matrix. The derivative tells what would happened to λ if aij was to change, not whether, or in what direction, or how much, aij actually change (Caswell 2001).

b) The Elasticity matrix: The elasticities of λ with respect to the vital rate are often interpreted as the “relative contributions” of each of the vital rates to λ (de Kroon et al 1986). For further information see: de Kroon, et al., 1986. and Caswell 2001.

This Rscript extract sensitivities and elansticities of the vital rates from a decomposed matrix.
This code was developed by R. Salguero-Gomez (Max Planck Institute) modified after E. Jongejans (Nijmegen University). Last modified: Mar 29th, 2012, Modified for Taverna by Maria Paula Balcazar-Vargas.

This workflow has been created by the Biodiversity Virtual e-Laboratory (BioVeL http://www.biovel.eu/) project. BioVeL is funded by the EU’s Seventh Framework Program, grant no. 283359.

This workflow was created using and based on Package ‘popbio’ in R.
For further details see:

Caswell, H. 2001. Matrix population models: Construction, analysis and interpretation, 2nd Edition. Sinauer Associates, Sunderland, Massachusetts.
Stubben, C & B. Milligan. 2007. Estimating and Analysing Demographic Models Using the popbio Package in R. Journal of Statistical Software 22 (11): 1-23
Stubben, C., B. Milligan, P. Nantel. 2011. Package ‘popbio’. Construction and analysis of matrix population models. Version 2.3.1

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BioVeL has received funding from the European Union's Seventh Framework Programme for research, technological development and demonstration under grant agreement no. 283359.

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