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An extension of the Leslie matrix model to include a variable immature period
Author(s) -
LONGSTAFF BARRY C.
Publication year - 1984
Publication title -
australian journal of ecology
Language(s) - English
Resource type - Journals
eISSN - 1442-9993
pISSN - 0307-692X
DOI - 10.1111/j.1442-9993.1984.tb01365.x
Subject(s) - leslie matrix , extension (predicate logic) , eigenvalues and eigenvectors , mathematics , statistics , variable (mathematics) , transformation (genetics) , matrix (chemical analysis) , period (music) , population , index (typography) , value (mathematics) , distribution (mathematics) , demography , mathematical analysis , biology , physics , computer science , chemistry , biochemistry , chromatography , quantum mechanics , sociology , acoustics , gene , programming language , world wide web
An extension to the Leslie matrix is presented in which the age of transformation from immature to adult has a log—normal distribution. The major effect of this is shown to be on the second largest eigenvalue. The ratio of the largest to the second largest eigenvalue |λ 1 /λ 2 |, which is an index of the rate of approach to the stable age distribution, is greater in the new model, even though the value of λ 1 is effectively the same. The differences in the models are most pronounced where the population is subjected to a harvesting regime.