Abstract
It is widely agreed that simulation models should be closely linked to data analyses. Indeed, a justifiable criticism of the software design described in Chap. 5 would be that its underlying mathematical models need to be tested further in the analysis of data. Accordingly, the purpose of this chapter is to give an account of some research directed toward providing firm links between data analyses and the construction and implementation of computer simulation models. Problems arising in evaluating and measuring the impact of family planning programs on fertility provided the substantive motivation for the research reported in this chapter.
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References
Barrett, J.C. (1969): A Monte Carlo Simulation of Human Reproduction. Genus 25:1–22
Berman, S.M. (1963): A Note on Extreme Values, Competing Risks and Semi-Markov Processes. Annals of Mathematical Statistics 34:1104–1106
Bogue, D.J., Edmonds, S. and Bogue, E.J. (1973): An Empirical Model for Demographic Evaluation of Impact of Contraception and Marital Status on Birth Rates. Community and Family Study Center. University of Chicago
Chandrasekaran, C. and Hermalin, A.I. (Editors) (1975): Measuring the Effect of Family Planning Programs on Fertility. Ordina Editions, 4830 Dolhain, Belgium
Chiang, C.L. and VanDenBerg, B.J. (1982): A Fertility Table for the Analysis of Human Reproduction. Mathematical Biosciences 62:237–251
Cutright, P. and Jaffe, F.S. (1977): Impact of Family Planning Programs on Fertility — The U.S. Experience. Praeger Publishers, New York, Washington, London
Freedman, R. and Berelson, B. (1976): The Record of Family Planning Programs. Studies in Family Planning 7:1–40
Freedman, R, Coombs, L.C., Chang, M.C. and Sun, T.H. (1974): Trends in Fertility, Family Size Preferences, and Practice of Family Planning — Taiwan, 1965–1973. Studies in Family Planning 5:270–288
Freedman, R. and Takeshita, J.Y. (1969): Family Planning in Taiwan. Princeton University Press, Princeton, N.J.
Hoem, J.M. (1972): Inhomogeneous semi-Markov Processes, Select Actuarial Tables, and Duration-Dependence in Demography. In Population Dynamics (T.N.E. Greville, ed.) pages 251–296. New York, Academic Press
Kemeny, J.G. and Snell, J.L. (1976): Finite Markov Chains. Springer-Verlag, New York, Heidelberg, Berlin
Khoo, S.E. (1979): Measuring the Thai Family Planning Program’s Impact on Fertility Rates — A Comparison of Computer Models. Studies in Family Planning 10:137–145
Land, K.C. and Rogers, A. (Editors) (1982): Multidimensional Mathematical Demography. Academic Press, New York
Leridon, H. (1977): Human Fertility — The Basic Components. University of Chicago Press, Chicago, Illinois
Littman, G.S. (1977): Development and Validation of a Non-Markovian Stochastic Model for the Taichung Medical IUD Experiment. Ph.D. Thesis, Drexel University Library, Philadelphia, Pa. 19104
Littman, G.S. and Mode, C.J. (1977): A non-Markovian Stochastic Model for the Taichung Medical IUD Experiment. Mathematical Biosciences 34:279–302
Mode, C.J. (1976): On the Calculation of the Probability of Current Family-Planning Status in a Cohort of Women. Mathematical Biosciences 31:105–120
Mode, C.J. (1977): Some Techniques in Building and Validating Stochastic Models of Human Reproduction. Bulletin of Mathematical Biology 39:693–704
Mode, C.J. (1978): Algorithms for a Stochastic Model of Human Fertility Under Contraception. Mathematical Biosciences 38:217–246
Mode, C.J. (1982): Increment-Decrement Life Tables and Semi-Markovian Processes From a Sample Path Perspective. In Multidimensional Mathematical Demography (K.C. Land and A. Rogers, editors) pages 535–565. New York, Academic Press
Mode, C.J., Avery, R.C., Littman, G.S. and Potter, R.G. (1977): Methodological Issues Underlying Multiple Decrement Life Table Analysis. Demography 14:87–96
Mode, C.J. and Littman, G.S. (1976): Implications of Fertility Patterns in Korea — A Study by Computer Simulation. International Journal oj Biomedical Computing 7:289–305
Mode, C.J. and Soyka, M.G. (1977): A Stochastic Model of Human Fertility Under Natural Fecundability — Algorithms and Numerical Examples. Mathematical Biosciences 35:187–209
Mode, C.J. and Soyka, M.G. (1980): Linking Semi-Markov Processes in Time Series — An Approach to Longitudinal Data Analysis. Mathematical Biosciences 51:141–164
Moots, B.L. (1975): Factors Affecting the Impact of IUDs on Fertility Control. Pages 71–86 in F. Hefnawi and S.J. Segal (eds.). Analysis of Intrauterine Contraception. North-Holland, Amsterdam
Nortman, D.L., Potter, R.G., Kirmeyer, S.W. and Bongaarts, J. (1977): Model Relations Between Birth Rates and Birth Control Practices. Volumes I and II. The Population Council, New York, N.Y.
Pickens, G.T. and Mode, C.J. (1981): Sequence of Events Following Adoption of Contraception — An Exploratory Analysis of 1973 Fertility History Data. Social Biology 28:111–125
Pickens, G.T. and Soyka, M.G. (1980): Effects of Changed Contraceptive Patterns on Fertility in Taiwan — Applications of a Non-Markovian Stochastic Model. International Journal of Biomedical Computing 11:1–19
Pittenger, D.B. (1973): An Exponential Model of Female Sterility. Demography 10:113–124
Poole, W.K. (1973): Fertility Measures Based on Birth Interval Data. Theoretical Population Biology 4:357–387
Potter, R.G. (1974): Some Techniques for Measuring the Impact of Contraception. Asian Population Studies Series No. 18, United Nations, New York
Potter, R.G., Ford, K. and Moots, B. (1975): Competition Between Spontaneous and Induced Abortion. Demography 12:129–141
Potter, R.G., Mode, C.J., Soyka, M.G. and Avery, R.C. (1979): Measuring Potential Fertility Through Null Segments — An Exploratory Analysis. Social Biology 26:314–328
Shactman. R.H. and Hogue, C.J. (1976): Markov Chain Model for Events Following Induced Abortion. Operations Research 24:916–932
Soyka, M.G. (1983): Computer-Aided Applications of non-Markovian Macro-Simulation Models to the Study of Human Populations. Ph.D. Thesis, Drexel University Library, Philadelphia, Pa. 19104
Teachman, J.D., Hogan, D.P. and Bogue, D.J. (1978): A Components Method for Measuring the Impact of a Family Planning Program on Birth Rates. Demography 15:113–129
Tuan, C.H. (1958): Reproduction Histories of Chinese Women in Rural Taiwan. Population Studies 12:40–50
Watson, W.B. and Laphan, R.J. (1975): Family Planning Programs — World Review 1974. Studies in Family Planning 6:205–322
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Mode, C.J. (1985). Age-Dependent Models of Maternity Histories Based on Data Analyses. In: Stochastic Processes in Demography and Their Computer Implementation. Biomathematics, vol 14. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-82322-0_6
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DOI: https://doi.org/10.1007/978-3-642-82322-0_6
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