Leslie/Lefkovitch Matrix Models for Age or Stage-structured Populations

This excel workbook uses the Leslie matrix model for population projection of age-class structured populations, and also allows Lefkovitch matrix models for stage-class structured populations. The user enters age or stage specific fecundity and survival rates as well as the population’s initial proportions. The workbook calculates the matrix with corresponding eigenvalues for finite growth rate and eigenvectors for stable age/stage distribution and reproductive value. The graphical output included illustrates the stabilization of population structure, reproductive values and the finite rate of increase. It also includes exponential growth curves and semi-log plots of the population growth. The user can view population projections for four actual datasets.

Source

Author(s):
John R. Jungck, Beloit College
Jennifer A Spangenberg, Beloit College

Lefkovitch, L. P. 1965. The study of population growth in organisms grouped by stages. Biometrics 21:1-18.

Leslie, P H. 1945 On the Use of Matrices in Certain Population Mathematics. Biometrika 33:183-212.

Leslie, P. H. 1948. Some further notes on the use of matrices in population mathematics. Biometrika 35:213-245.

Popular Text Citations

Vandermeer, J H.; Goldberg, D E. (2003) Population Ecology: First Principles. Princeton, NJ: Princeton University Press.

Krebs, C J (ed) (1994) Ecology. 4th Edition. New York: HarperCollings College Publishers.

Donovan, T M.; Welden, C W. (2002) Spreadsheet Exercises in Ecology and Evolution. Sunderland, MA: Sinauer Associates, Inc.

Research Articles

Chandler GT, Cary TL, Bejarano AC, Pender J, Ferry JL. 2004 Population consequences of fipronil and degradates to copepods at field concentrations: an integration of life cycle testing with leslie matrix population modeling. Environmental Science Technology 38: 6407-14.

Yearsley JM, 2004 Transient population dynamics and short-term sensitivity analysis of matrix population models. Ecological Modelling 177: 245-258.

Education Research & Pedagogical Materials

Donovan, T M.; Welden, C W. (2002) Spreadsheet Exercises in Ecology and Evolution. Sunderland, MA: Sinauer Associates, Inc.

Jungck John R., Spangenberg Jennifer A () Leslie/Lefkovitch Matrix Models for Age or Stage-structured Populations. A module of the Biological ESTEEM Collection, published by the BioQUEST Curriculum Consortium. URL: http://bioquest.org/esteem/esteem_details.php?product_id=210