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Math Biosci. 1989 Aug;95(2):161-77.

Sampling properties of the asymptotic behavior of age- or stage-grouped population models.


The discrete-time linear recurrent models proposed by Leslie in 1945 and Usher in 1966 for age-or stage-grouped populations are discussed with emphasis on the random nature, due to sampling variations, of their well-known asymptotic behavior. The statistical properties of the estimated asymptotic multiplication rate, stage, or age stable structures and mean generation time are inspected by both a theoretical approach and a simulation procedure. Illustrative case studies provide some order of magnitudes of the sampling bias and variance of these statistics.

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