Abstract

The reduction of population growth rates through family planning programs is being attempted in many of the developing nations of the world. This activity lends itself aptly to mathematical modeling. Building from the well-known difference equation model of population growth, a model is constructed which integrates population dynamics, program activities, and resource consumption. The model may be used predictively to assess the outcome of various program activities. Alternatively, it may be used to determine the pattern of activities which yields the greatest reduction in births under the projected resource constraints. A further use of the model is the identification of the parameters to which predictions are most sensitive; such information provides valuable insights to those gathering the input data. The model is here applied to a family planning program currently in progress. An evaluation of the feasibility of that program’s goals is provided, as well as information on limiting resources, data sensitivity, and the most important ages for contraceptive acceptance.

Family Planning, Life Table, Planning Horizon, Family Planning Service, Family Planning Program
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References

Arriaga, Eduardo E. (
1968
).
New Life Tables for Latin American Populations in the Nineteenth and Twentieth Centuries
.
Berkeley
:
Institute of International Studies, University of California
.
Google Scholar
 
CELADE. 1971. Encuesta Demografica Nacional de Honduras (EDENH), No.8, Agosto, 1971.
Chow, L. P. (
1968
).
A study on the demographic impact of an I.U.D. program
.
Population Studies
,
22
,
347
–
359
. 10.2307/2173000
Google Scholar
Crossref
Search ADS
PubMed
 
Correa, H., & Beasley, J. D. (
1971
).
Mathematical models for decision making in population and family planning
.
American Journal of Public Health
,
61
,
138
–
151
. 10.2105/AJPH.61.1.138
Google Scholar
Crossref
Search ADS
PubMed
 
Dryfoos, J. G., & Manisaff, M. T. (
1969
).
Estimating manpower needs for a national family planning program
.
Family Planning Perspectives
,
1
,
37
–
41
. 10.2307/2134008
Google Scholar
Crossref
Search ADS
 
Hadley, George (
1962
).
Linear Programming
.
Reading, Mass.
:
Addison-Wesley
.
Google Scholar
 
Halpert, Harold, Horvath, William T., & Young, John P. (
1970
).
Operations Research of Mental Health Systems
.
Washington, D.C.
:
National Institute of Mental Health
.
Google Scholar
 
International Bank for Reconstruction and Development. 1969. Current Economic Position and Prospects of Honduras, Vol. 5.
Jaffe, F. S. (
1966
).
Financing family planning services
.
American Journal of Public Health
,
56
,
912
–
917
. 10.2105/AJPH.56.6.912
Google Scholar
Crossref
Search ADS
PubMed
 
Jones, Galvin W., & Mauldin, W. Parker (
1967
).
Use of oral contraceptives: with special reference to developing countries
.
Studies in Family Planning
,
24
,
1
–
13
. 10.2307/1964750
Google Scholar
 
Keller, Alan B. Forthcoming. Patient attrition in five Mexico City family planning clinics. In J. M. Stycos (ed.), Contraception, Clinics, and Mass Communications: Evaluation Studies of Family Planning Programs in Four Latin American Countries.
Keyfitz, Nathan (
1968
).
Introduction to the Mathematics of Population
.
Reading, Mass.
:
Addison-Wesley
.
Google Scholar
 
Lawrence, Charles E. 1971. An Analysis of the Allocation of the Resources of Birth Control Programs. Unpublished Ph.D. dissertation, Cornell University.
Leslie, Ph. H. (
1945
).
On the use of matrices in certain population mathematics
.
Biometrika
,
33
,
183
–
212
. 10.1093/biomet/33.3.183
Google Scholar
Crossref
Search ADS
PubMed
 
Lotka, Alfred J. (
1939
).
On an integral equation in population analysis
.
Annals of Mathematical Statistics
,
10
,
144
–
161
. 10.1214/aoms/1177732213
Google Scholar
Crossref
Search ADS
 
Mundigo, Axel. Forthcoming. Honduras revisited: the clinic and its clientele. In J. M. Stycos (ed.), Contraception, Clinics, and Mass Communications: Evaluation Studies of Family Planning Programs in Four Latin American Countries.
Piot, Maurice, and T. K. Sundaresan. 1967. A Linear Programmer Decision Model for Tuberculosis Control. World Health Organization WHO/TB/Technical Information/67.59.
Potter, Robert G. (
1969
).
Use-effectiveness of intrauterine contraception as a problem in competing risks
. In R. Freedman, & J. Y. Takeshita (Eds.),
Family Planning in Taiwan
.
Princeton, N. J.
:
Princeton University Press
.
Google Scholar
 
Potter, Robert G. et al (
1969
).
Estimating births averted in a family planning program
. In Behrman, et al (Ed.),
Fertility and Family Planning: A World View
.
Ann Arbor
:
University of Michigan Press
.
Google Scholar
 
Reinke, W. A. (
1970
).
The role of operations research in population planning
.
Operations Research
,
18
,
1099
–
1111
. 10.1287/opre.18.6.1099
Google Scholar
Crossref
Search ADS
 
ReVelle, Charles S. (
1969
).
An optimization model of tuberculosis epidemiology
.
Management Science
,
16
,
B190
–
211
.
Google Scholar
Crossref
Search ADS
 
Reynolds, Jack (
1971
).
Methods for estimating future case loads of family planning programs
.
Family Planning Perspectives
,
3
,
56
–
61
. 10.2307/2134032
Google Scholar
Crossref
Search ADS
PubMed
 
Ross, John A. (
1966
).
Cost analysis of the Taichung experiment
.
Studies in Family Planning
,
10
,
6
–
15
.
Google Scholar
 
United Nations. 1965. Population Bulletin of the United Nations, No.7, 1963.
United Nations. 1971. Demographic Yearbook, 1970.
United Nations. Forthcoming. Total Population Estimates for World, Regions, and Countries, Each Year, 1950–1985. E.S.A./P./W.P.
Wagner, Harvey (
1970
).
Introduction to the Principles of Operations Research
.
Englewood Cliffs, N. J.
:
Prentice-Hall, Inc.
.
Google Scholar
 
Whelpton, D. K. (
1946
).
Reproductive rates adjusted for parity, fecundity, and marriage
.
Journal of the American Statistical Association
,
41
,
501
–
516
. 10.2307/2280571
Google Scholar
Crossref
Search ADS
PubMed
 
© Population Association of America 1972
1972