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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): Published by: BioQUEST Curriculum Consortium OS: win98, win2000, winXP |
User Manuals and Curricular Materials |
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Fundamental Mathematical Concept |
Leslie Matrix Model |
Developed by: |
P. H. Leslie and L. P. Lefkovitch |
Primary Reference |
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. |
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