Population Dynamics : Proceedings of a Symposium Conducted by the Mathematics Research Center The University of Wisconsin, Madison June 19–21, 1972

Population Dynamics covers the proceedings of a symposium conducted by the Mathematics Research Center, The University of Wisconsin, Madison on June 19-21, 1972. The book focuses on the application of mathematics to the study of human population growth. The selection first offers information on population waves and the properties of a stochastic attraction model. Discussions focus on social distance, limiting behavior of the model, mathematical development, population increase and retirement pensions, natural periodicity in the demographic system, trends in generational stability, mobility in unstable populations, and the Easterlin effect. The text then takes a look at the sampling frame as a determinant of observed distributions of duration variables and comparison of alternative marriage models, including plausible marriage models, axioms for marriage functions, birth intervals, and computer simulation of prospective and interior birth interval lengths. The manuscript ponders on contraceptive impact over several generations, estimation of the risk of conception from censored data, and influence of cause of death structure on age-patterns of mortality. Topics include distributions of conception times, simulation of experiments, potential fertility of users, and length of protection. The selection is a valuable reference for researchers interested in population dynamics. Content: Front Matter, Page iii Copyright, Page iv Preface, Pages vii-viii Acknowledgments, Page ix Population Waves, Pages 1-38, NATHAN KEYFITZ Some Properties of a Stochastic Attraction Model, Pages 39-55, ROBERT McGINNIS, NEIL W. HENRY The Sampling Frame as a Determinant of Observed Distributions of Duration Variables, Pages 57-87, JANE A. MENKEN, MINDEL C. SHEPS Comparison of Alternative Marriage Models, Pages 89-106, DAVID D. McFARLAND Can There Be a Marriage Function?, Pages 107-135, B. PARLETT Contraceptive Impact over Several Generations, Pages 137-166, ROBERT G. POTTER On Estimating the Risk of Conception from Censored Data, Pages 167-200, MINDEL C. SHEPS, JANE A. MENKEN Influence of Cause of Death Structure on Age-Patterns of Mortality, Pages 201-250, SAMUEL H. PRESTON Inhomogeneous Semi-Markov Processes, Select Actuarial Tables, and Duration-Dependence in Demography, Pages 251-296, JAN M. HOEM A Class of Doubly Stochastic Processes: with an Application to the Effects of Lactation on the Postpartum Anovulatory Period, Pages 297-331, RALPH B. GINSBERG A General Migration Process, Pages 333-355, C.L. CHIANG Some Results in the Theory of Three Gene Loci, Pages 357-383, MARCUS W. FELDMAN, BEVERLEY BALKAU The Main Results of Optimal Control Theory Made Simple, Pages 385-417, STUART E. DREYFUS The Plato System Population Dynamics Course, Pages 419-434, PAUL HANDLER, JUDITH SHERWOOD Subject Index, Pages 435-440 Name Index, Pages 441-445