title: On the reproductive value and the spectrum of a population projection matrix with implications for dynamic population models.
abstract: The eigenvalues of a population projection matrix-except for the Lotka coefficient-are uniquely determined by the reproductive values and the survival. This relation (proposed earlier, but not really well known in western literature) follows from another useful relation between fertility, reproductive values, survival, and Lotka's coefficient. These results are applied to provide demographic interpretations to the intrinsically dynamic and metastable population models by Schoen and co-workers.
authors.affiliation: Vienna Institute of Demography, Wohllebengasse 12-14, 6th floor, 1040 Vienna, Austria. Dalkhat.Ediev@oeaw.ac.at
authors.forename: Dalkhat M
authors.initials: DM
authors.lastname: Ediev
mesh_terms: D001723:Birth Rate; D005298:Fertility; D005544:Forecasting / Q000379:methods; D006801:Humans; D015233:Models, Statistical; D011157:Population Dynamics; D016019:Survival Analysis