Pack: Elasticity and Sensitivity of the vital rates pack

Description:

This file (decomposed matrix) is used in the documentation as example to run the Elsticity and Sensitivity of the Vital rates Workflow.

Description:

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 (?).

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

a) The sensitivity matrix: The sensitivity describes the effect on ? of changes in vital rates of the matrix. The derivative tells what would happened to ? 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 ? with respect to the vital rate are often interpreted as the “relative contributions” of each of the vital rates to ? (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

Description:

This documentation (tutorial to run the workflow) explains how to run a workflow that belongs to the pack with same name.

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 rate(s) has/have the most influence on population growth rate (λ).

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

• 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).

• 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.