title: Conditions determining the local stability of populations.
abstract: The conditions that determine the local stability classification of an equilibrium population configuration are analyzed.  The population investigated is age-structured and density-dependent, where density is determined by an age-weighted population size.  2 demographic parameters are introduced:  the marginal birth rate and the marginal death rate, which describe the marginal density-dependence of the birth and death rates of the equilibrium population.  Certain necessary and/or sufficient conditions determining stability are developed, most of them involving the net reproduction rate of the population, and examples illustrating these conditions are presented.
authors.forename: E
authors.initials: E
authors.lastname: Weinstock
authors.forename: C
authors.initials: C
authors.lastname: Rorres
mesh_terms: D000367:Age Factors; D001723:Birth Rate; D003710:Demography; D005298:Fertility; D008962:Models, Theoretical; D009026:Mortality; D011153:Population; D011154:Population Characteristics; D011156:Population Density; D011157:Population Dynamics; D012106:Research
keywords: Age Factors; Birth Rate; Death Rate; Demographic Factors; Fertility; Fertility Measurements; Mathematical Model; Models, Theoretical; Mortality; Net Reproduction Rate; Population; Population Characteristics; Population Dynamics--determinants; Population Size; Research Methodology; Stable Population