Some general relationships in population dynamics.
PubMedPublished 1 January 1984
Arthur Wb, James W. Vaupel
Citations54
Generate an AI Snapshot to get a quick, structured summary of this paper.
Study Snapshot
ObjectiveStudy objective
MethodsResearch methodology
PopulationPopulation studied
Sample sizeSample sizes
OutcomesStudy outcomes here
ResultsStudy results comes here
LimitationsResearch study limitations comes here
A concise AI-generated summary of the paper will appear here once you click Generate AI Snapshot.
Abstract
This paper extends the Lotka system of stable population equations to any population. The authors present this new general system and describe its duality with the recent Preston-Coale system. They derive these results by considering the calculus of change on the surface of population density defined over age and time. They show that analysis of this Lexis surface leads to all the known fundamental relationships of the dynamics of single-region human populations, several interesting new relationships, and a duality between period and cohort life tables.
Keywords
Social Sciences
Physics Today<i>Theory of Ordinary Differential Equations</i>
6,228 Citations1956Earl A. Coddington, Norman Levinson +1 more
Proceedings of the Edinburgh Mathematical SocietyApplications of Mathematics to Medical Problems
1,177 Citations1925A. G. M'kendrick
If one thinks of individuals, be they human beings or be they cells, as moving in all sorts of dimensions, reversibly or irreversibly, continuously or discontinuously, by unit stages or per saltum, then the method of their movement becomes a study in kinetics, and can be approached by the methods ordinarily adopted in the study of such systems.
Population IndexAge Structure, Growth, Attrition, and Accession: A New Synthesis
181 Citations1982Samuel H. Preston, Ansley J. Coale
Each equation describing relationships among demographic parameters in a stable population is a special case of a similar and equally simple equation that applies to any closed population and some implications of these new equations for demographic theory and practice are demonstrated.
Population IndexEstimating the Completeness of Death Registration in a Closed Population
166 Citations1981Neil G. Bennett, Shiro Horiuchi
DemographyThe Ergodic Theorems of Demography: a Simple Proof
38 Citations1982W. Brian Arthur
It is shown that the birth dynamics can be decomposed into a smoothing process that progressively levels out past fluctuations in the birth sequence and a reshaping process that accounts for current period-to-period changes in vital rates.
DemographyAn integrated system for demographic estimation from two age distributions
37 Citations1983Samuel H. Preston
This paper presents a simple method for estimating a birth rate and a level of mortality for an intercensal period based upon a recent generalization of stable population relations.