# Matrix Population Model construction and analysis v20

**Created:**2013-08-13 08:31:07

**Last updated:**2014-07-04 12:57:14

The Matrix Population Models Workflow provides an environment to create stage-matrices with no density dependence and to perform several analyses on them:

- Eigen analysis; - Age specific survival; - Generation time (T); - Net reproductive rate (Ro); - Transient Dynamics; - Bootstrap of observed census transitions (Confidence intervals of lambda); - Survival curve; - Keyfitz delta; - Cohen's cumulative distance.

If multiple year transitions are selected, the results will be ordered by year.

This workflow requires an instance of Rserve on localhost

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 uses R packages ‘popbio’ (Stubben & Milligan 2007; Stubben, Milligan & Nantel 2011) and 'popdemo' (Stott, Hodgson and Townley 2013).

References:

Caswell, H. 1986. Life cycle models for plants. Lectures on Mathematics in the Life Sciences 18: 171-233.

Caswell, H. 2001. Matrix population models: Construction, analysis and interpretation, 2nd Edition. Sinauer Associates, Sunderland, Massachusetts.

de Kroon, H. J., A. Plaiser, J. van Groenendael, and H. Caswell. 1986. Elasticity: The relative contribution of demographic parameters to population growth rate. Ecology 67: 1427-1431.

Horvitz, C., D.W. Schemske, and Hal Caswell. 1997. The relative "importance" of life-history stages to population growth: Prospective and retrospective analyses. In S. Tuljapurkar and H. Caswell. Structured population models in terrestrial and freshwater systems. Chapman and Hall, New York.

Jongejans E. & H. de Kroon. 2012. Matrix models. Chapter in Encyclopaedia of Theoretical Ecology (eds. Hastings A & Gross L) University of California, p415-423

Mesterton-Gibbons, M. 1993. Why demographic elasticities sum to one: A postscript to de Kroon et al. Ecology 74: 2467-2468.

Oostermeijer J.G.B., M.L. Brugman; E.R. de Boer; H.C.M. Den Nijs. 1996. Temporal and Spatial Variation in the Demography of Gentiana pneumonanthe, a Rare Perennial Herb. The Journal of Ecology, Vol. 84(2): 153-166.

Stott, I., S. Townley and D.J. Hodgson 2011. A framework for studying transient dynamics of population projection matrix models. Ecology Letters 14: 959–970

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

van Groenendael, J., H. de Kroon, S. Kalisz, and S. Tuljapurkar. 1994. Loop analysis: Evaluating life history pathways in population projection matrices. Ecology 75: 2410-2415.

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### Workflow Components

Workflow Type

Version 1 (earliest) (of 3)

- Creation of a stage matrix model from demographic monitoring of individuals in an animal or plant population
- Matrix Population Model construction and analysis
- Eigen analysis
- Age specific analysis
- Transient Dynamics.
- Generation time (T)
- Net reproductive rate (Ro)
- Bootstrap of observed census transitions.
- Demographic data Gentiana pneumonanthe 1987-1988 from Terschelling File.

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- Demographic data Gentiana pneumonanthe 1987-1988 from Terschelling File.
- Matrix Population Models construction and analyses documentation
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- Demographic data Gentiana pneumonanthe 1987-1991 from Terschelling File.
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- Cohen’s cumulative distance
- Keyfitz delta
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- Bootstrap of observed census transitions.
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- Transient Dynamics.
- Net reproductive rate (Ro)
- Generation time (T)
- Eigen analysis
- Creation of a stage matrix model from demographic monitoring of individuals in an animal or plant population
- Age specific analysis

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