期刊
ECOLOGICAL MODELLING
卷 251, 期 -, 页码 307-311出版社
ELSEVIER
DOI: 10.1016/j.ecolmodel.2012.12.028
关键词
Life cycle graph; Strong components; Reproductive submatrix; False growth rate; Carapa guianensis; Stochastic growth rate
类别
Perron-Frobenius theorem for nonnegative matrices, a mathematical foundation of matrix population models, applies when the projection matrix is not decomposable (or equivalently, when it is irreducible), the application yielding the dominant eigenvalue lambda(1) > 0 as a measure of the growth potential that a population with given demography possesses in a given environment. In practice, however, the projection matrix often appears to be decomposable (reducible); to calculate lambda(1) in this case, a principal submatrix should rather be used that corresponds to the reproductive core of the life cycle graph. I call it the reproductive submatrix and demonstrate that, when the reproductive submatrix does not coincide with the projection matrix and if this discrepancy is neglected in a case study, the resulting lambda(1) may happen to be overestimated. Averaging over a number of annual projection matrices eliminates the false growth rate but raises the problem of choice among the modes of averaging in the estimation of the stochastic growth rate in a stochastic environment. Computer simulation gives a method that avoids the both kinds of problem. (C) 2013 Elsevier B.V. All rights reserved.
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