Volume 24 - Article 33 | Pages 825–830  

Age-specific growth, reproductive values, and intrinsic r

By Robert Schoen

This article is part of the ongoing Special Collection 8 "Formal Relationships"

Abstract

The age-specific growth function of an observed population and the reproductive value function based on the population´s current vital rates determine the intrinsic rate of growth implied by those vital rates through the simple relationship given in equation (1). That equation establishes the analytical significance of age-specific growth, and leads to relationships that quantify a population´s approach to stability and that specify the extraordinarily close connection between reproductive values and population momentum.

Author's Affiliation

• Robert Schoen - Pennsylvania State University, United States of America EMAIL

Other articles by the same author/authors in Demographic Research

Analyzing hyperstable population models
Volume 49 - Article 37

A dynamic birth-death model via Intrinsic Linkage
Volume 28 - Article 35

The metastable birth trajectory
Volume 21 - Article 25

A behaviorally-based approach to measuring inequality
Volume 19 - Article 49

Changing mortality and average cohort life expectancy
Volume 13 - Article 5

Age-specific contributions to changes in the period and cohort life expectancy
Volume 13 - Article 3

Intrinsically dynamic population models
Volume 12 - Article 3

A diminishing population whose every cohort more than replaces itself
Volume 9 - Article 6

Estimating multistate transition rates from population distributions
Volume 9 - Article 1

On the Impact of Spatial Momentum
Volume 6 - Article 3

Toward a General Model for Populations with Changing Rates
Volume 4 - Article 6

Most recent similar articles in Demographic Research

Fertility decline, changes in age structure, and the potential for demographic dividends: A global analysis
Volume 50 - Article 9    | Keywords: age structure, demographic dividend, demographic transition, fertility, migration, population momentum, working-age population

Population aging caused by a rise in the sex ratio at birth
Volume 43 - Article 32    | Keywords: models, population aging, sex ratio at birth, stable population

The direct and indirect impact of international migration on the population ageing process: A formal analysis and its application to Poland
Volume 38 - Article 43    | Keywords: age-specific growth, emigration, immigration, international migration, Poland, population aging

The reproductive value as part of the shadow price of population
Volume 24 - Article 28    | Keywords: life history, reproductive value

The metastable birth trajectory
Volume 21 - Article 25    | Keywords: dynamic population models, metastable population, quadratic exponential trajectory, stable population