**53:30759** **Biggins, J.
D.; Gotz, Thomas.** *Expected population size in the
generation-dependent branching process.* Journal of Applied
Probability, Vol. 24, No. 2, Jun 1987. 304-14 pp. Sheffield, England.
In Eng.

"A Malthusian parameter for the generation-dependent
general branching process is introduced and some asymptotics of the
expected population size, counted by a general non-negative
characteristic, are discussed. Processes both with and without
immigration are considered."

Author's address: Department of
Probability and Statistics, University of Sheffield, Sheffield S3 7RH,
England.*Location:* Princeton University Library (SM).

**53:30760** **Biswas,
Suddhendu; Ebraheem, Nather A.** *A modified quasi stable
population technique for a non stable population.* SCIMA, Vol. 15,
No. 3, 1986. 90-9 pp. New Delhi, India. In Eng.

"In this paper we
made an attempt to examine whether Coale's (1972) quasi stable
population technique with minor adjustment is appropriate to predict
the age distribution of a non stable population which departs from
quasi stability...." The technique is applied to Indian census data
for 1971. A comparison with official Indian data shows that the method
predicts the age distribution of the population reasonably
well.

Author's address: Department of Mathematical Statistics,
University of Delhi, Delhi, India.*Location:* Princeton
University Library (SPR).

**53:30761** **Hillion,
Alain.** *Mathematical theories of population.* [Les
theories mathematiques des populations.] Que Sais-Je?, No. 2258, ISBN
2-13-039193-1. 1986. 127 pp. Presses Universitaires de France: Paris,
France. In Fre.

This is an overview of the most recent and widely
used mathematical models of population growth. Following a general
introduction to population dynamics and the use of mathematical models,
chapters are included on deterministic models in discrete time,
deterministic models in continuous time, stochastic models in discrete
time, and stochastic models in continuous time.*Location:*
Princeton University Library (SPR).

**53:30762** **Jozwiak,
Janina.** *Mathematical models of population.*
[Matematyczne modele ludnosci.] Monografie i Opracowania, No. 176, LC
86-11405. 1985. 167 pp. Szkola Glowna Planowania i Statystyki: Warsaw,
Poland. In Pol.

The author presents a number of mathematical models
of population reproduction, including the classical population model in
which the age distribution is considered, multi-regional models
concerning population by age and place, and multistate models dealing
with age distribution and other characteristics. In addition to
deterministic models, one chapter introduces stochastic elements and
shows that the distribution of population is identical in the two types
of models. In the last chapter, the distribution of population by sex
is introduced, and its consequences are assessed. The problem of
aggregation of the reproduction model is also
considered.*Location:* Princeton University Library (SPR).

**53:30763** **Pathak, K.
B.** *An extension of a probability model for closed birth
interval.* Health and Population: Perspectives and Issues, Vol. 6,
No. 3, Jul-Sep 1983. 133-42 pp. New Delhi, India. In Eng. with sum. in
Hin.

"Based on some simple assumptions regarding [the] human
reproduction process, a continuous time probability model for
describing variation in any closed birth interval of a woman of a
marital duration (t) has been developed. The model incorporates the
possibility of the woman being adolescent sterile at the time of
consummation of marriage. The estimates for truncation bias in the
mean closed birth intervals are also obtained." The model is applied
to Indian data from a 1969-1970 survey conducted in
Varanasi.*Location:* Princeton University Library (SPR).

**53:30764** **Singh,
Laishram L.** *Impact of sex preference and stopping rules on
parity progression ratios.* IIPS Newsletter, Vol. 27-28, No. 4-1,
Oct-Jan 1986-1987. 1-8 pp. Bombay, India. In Eng.

"This paper
describes a methodology for finding the changes in annual births, birth
order distribution, expected family size and parity progression ratios
when couples adopted certain stopping rules depending on the sex
composition of the surviving children. The methodology is
illustrated...using birth order data from Census of India, 1981. It is
found that in all the three stopping rules considered, annual births
have considerably changed and parity progression ratios at higher
parities are almost reduced to zero."*Location:* Princeton
University Library (SPR).

**53:30765** **Skoglund,
Tor; Sorensen, Knut O.** *An economic-demographic system of
models for region analysis.* [Et okonomisk-demografisk modellsystem
for regional analyse.] Rapporter fra Statistisk Sentralbyra, No. 87/10,
ISBN 82-537-2503-5. 1987. 58 pp. Statistisk Sentralbyra:
Oslo-Kongsvinger, Norway. In Nor.

This report is one in a series
produced by Norway's Central Bureau of Statistics as part of its effort
to develop macroeconomic models for the purposes of national planning
and analysis. This work provides overviews of the REGION model and the
DROM model system. These models and those used in other countries are
compared on the basis of objectives and classification of regions; size
of the area covered by the model and variables; relationships among
regional, national, and interregional variables; and theory and data
base. The future use of models for regional analysis and planning is
also discussed.*Location:* Princeton University Library
(SPR).

Copyright © 1987-1996, Office of Population Research, Princeton University.