Calculating the variance of the finite rate of population change from a matrix model in 'Mathematica'

Title
Calculating the variance of the finite rate of population change from a matrix model in 'Mathematica'
Publication Date
2007
Author(s)
Skalski, John R
Millspaugh, Joshua J
Dillingham, Peter
Buchanan, Rebecca A
Type of document
Journal Article
Language
en
Entity Type
Publication
Publisher
Elsevier Ltd
Place of publication
United Kingdom
DOI
10.1016/j.envsoft.2005.12.003
UNE publication id
une:15715
Abstract
The finite annual rate of population increase (λ) is a fundamental demographic parameter that characterizes the relative annual change in animal numbers. Uncertainty in the estimation of λ from demographic population viability analyses (PVAs) has been largely limited to sensitivity analysis, calculating a pseudo-distribution 'λ' using Monte Carlo methods, or by use of bootstrap methods. The delta method has been used and suggested by several researchers, but no one has provided the computational means to implement it. In this paper, we present 'Mathematica' code to calculate λ and its variance based on eigenvalue calculations of a Leslie transition matrix. We demonstrate the procedure using data from a Hawaiian hawk ('Buteo solitarius') study.
Link
Citation
Environmental Modelling & Software, 22(3), p. 359-364
ISSN
1873-6726
1364-8152
Start page
359
End page
364

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