54:10789 Kephart,
George. Heterogeneity and the implied dynamics of regional
growth rates: was the nonmetropolitan turnaround an artifact of
aggregation? Demography, Vol. 25, No. 1, Feb 1988. 99-113 pp.
Alexandria, Virginia. In Eng.
"The spatial units of analysis
employed in urban and regional research display considerable internal
heterogeneity in terms of the social, demographic, and economic
variables used to describe them. One implication of this has been
overlooked in the literature, namely, that aggregate rates may have an
implicit dynamic of change. Differential internal rates modify the
composition of the aggregate, changing the relative importance of
subareas in determining the aggregate rate. To demonstrate this,
methods for decomposing the change in growth rates due to heterogeneity
are developed and applied to [U.S.] nonmetropolitan growth rates
between 1950 and 1980. Internal heterogeneity was found to be an
important, and sometimes even a dominant, component of change.
Furthermore, the analysis sheds considerable light on the reasons for
changes in aggregate rates that marked the nonmetropolitan
turnaround."
Correspondence: G. Kephart, Center for
Demography and Ecology, University of Wisconsin, Madison, WI 53706.
Location: Princeton University Library (SPR).
54:10790 Mishra,
Pradeep. An open problem in Kendall's population
model. Sankhya: Indian Journal of Statistics, Series B, Vol. 49,
No. 1, Apr 1987. 68-77 pp. Calcutta, India. In Eng.
"In this paper
an open problem by Kendall (1949, 1977) in his population model has
been solved. The problem has also been studied in a model which has
been modified by the author and made more general." The author's
modifications involve the use of alternative marriage rates per unit of
time.
Correspondence: P. Mishra, Patna University, Patna
800 005, Bihar State, India. Location: Princeton University
Library (SPR).
54:10791 Pollak,
Robert A. The two-sex problem with persistent unions: a
generalization of the birth matrix-mating rule model. Theoretical
Population Biology, Vol. 32, No. 2, Oct 1987. 176-87 pp. New York, New
York. In Eng.
The birth matrix-mating rule (BMMR) model, previously
developed by the author to solve the two-sex problem of classical
stable population theory by allowing births to adjust to changes in a
population's age-sex composition, is generalized in this paper to
species that form persistent unions. The existence of equilibrium in
the BMMR persistent unions model is established by supplementing the
existence proof used in the BMMR model with a fixed-point
argument.
Correspondence: R. A. Pollak, Department of
Economics, University of Pennsylvania, Philadelphia, PA 19104.
Location: Princeton University Library (SPR).
54:10792 Shen,
Jianfa. Estimating the error of random projection of
discrete populations. Renkou Yanjiu, No. 6, Nov 29, 1985. 51-2 pp.
Beijing, China. In Chi.
The author estimates the error of
stochastic projection of discrete populations by defining fertility and
mortality as stochastic processes. Using Chebyshev's inequality and
data for Huzhou City's population, the author estimates random
fluctuations of fertility and mortality and develops an equation for
estimating the relative error of projection of total
population.
Location: Princeton University Library (SPR).
54:10793 Vaupel,
James W.; Gambill, Bradley A.; Yashin, Anatoli I.
Thousands of data at a glance: shaded contour maps of demographic
surfaces. IIASA Research Report, No. RR-87-16, ISBN 3-7045-0079-8.
Jul 1987. xvi, 80 pp. International Institute for Applied Systems
Analysis [IIASA]: Laxenburg, Austria. In Eng.
"This research report
presents a bouquet of contour maps to suggest the broad potential of
their use in demographic studies. The maps presented range from maps
of Italian mortality, French population levels, and U.S. birth rates,
to maps of Coale and Demeny's and Brass's model life tables. The value
of the maps lies in their substantive import: by giving demographers
visual access to population surfaces, the maps can help demographers
uncover and understand population patterns. The text of the research
report adumbrates some of these patterns and discusses the use of
contour maps in exploratory data analyses and model building, including
the use of maps of residuals in fitting models to
data."
Correspondence: J. W. Vaupel, Humphrey Institute of
Public Affairs, University of Minnesota, 301 19th Avenue South,
Minneapolis, MN 55455. Location: Princeton University Library
(SPR).
