Abstract

Fertility is one of the responsible factors for the growth of human population. The demographers have given priority to understanding of the determinants of fertility through statistical techniques. Analytical models are suitable and appropriate tools and are widely used for better understanding of the phenomenon of the human fertility behavior. In other words, these models are useful in describing the action and interaction among various factors as well as for predicting the change in fertility behavior. The analytic models play an important role in estimation and interpretation of the fertility behaviors. In this paper, discuss the of birth intervals model based on realistic assumptions of human reproductive process, indirectly incorporating socio-cultural, bio-demographic factors, taboos and also use of contraceptive practices. In these derived models to describe the variation in the length of closed, forward, straddling and open birth interval with the realistic assumption that all the females are not exposed to the risk of conception immediately after the termination of post-partum amenorrhea (PPA) due to some factors or contraceptive practices. In these models, fecundability (λ) has been considered to be constant over the study period. The duration of time from the point of termination of PPA to the state of exposure has been taken as random variable which follows exponential distribution. The maximum likelihood estimation technique has been used for the estimation of parameter (λ) through different derived models.

Highlights

  • Fertility is one of the responsible factors of population change as well as the important positive force for the growth of human population

  • Due to the socio cultural factors or contraceptive practices, some females not exposed to the risk of conception immediately after the termination of post-partum amenorrhea (PPA)

  • Probability models has been derived for the estimation of fecundability based on assumptions of human reproductive process, indirectly incorporating socio, bio-demographic factors, taboos and use of contraceptive practices

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Summary

Introduction

Fertility is one of the responsible factors of population change as well as the important positive force for the growth of human population. The demographers have given priority to understanding and define the human fertility behavior through statistical tools and techniques in proper manner. Fertility behavior is usually influenced by the interaction of a number of biological, socio-economic and demographic factors. It is almost established that traditional sociocultural practices affect fertility behavior in a complex manner. The social scientists and demographers have given priority to thorough study of the differentials and determinants of fertility through various mathematical and statistical modeling techniques. The role of differentials in fertility has been reported by a number of researchers [1,2,3]

Some of the Main Biological Factors
Concepts of Derived Probability
Closed Birth Interval Model
Forward Birth Interval Model
Straddling Birth Interval Model
Open Birth Interval Model
Application
Results
Summary and Conclusion
Full Text
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