{"title":"Complex roots of Lotka's integral equation for a special model of net maternity rates.","authors":"S Mitra, M L Levin","doi":"","DOIUrl":"","url":null,"abstract":"<p><p>\"An attempt to obtain the solutions of Lotka's integral equation has been made in this paper by assuming a Pearsonian Type III function for the age distribution of the net maternity rates. The shifting of the origin of the function from the traditional value of age zero to the most meaningful lower boundary of the reproductive interval gave rise to an analytical expression of the equation with interesting properties most of which have not yet been encountered in similar endeavors.\"</p>","PeriodicalId":84956,"journal":{"name":"Janasamkhya","volume":"8 2","pages":"115-32"},"PeriodicalIF":0.0,"publicationDate":"1990-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"22015253","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A birth model with oscillating rate of growth.","authors":"S Mitra","doi":"","DOIUrl":"","url":null,"abstract":"<p><p>\"Integral equations similar to those generated by the assumption of unchanging vital rates in a closed population leading to eventual stability can be obtained by allowing the rates to vary according to some prescribed rules. In spite of these changing patterns of the vital rates, some of these models have earlier been found to approach stability where the solutions of the stable parameters can be obtained by following the usual straightforward methods. In this paper, a similar integral equation with changing vital rates has been presented which can also be solved in a similar manner. However, the resulting rate of growth does not stabilize but continues to oscillate. The period and amplitude of this oscillating rate of growth together with its central value can be determined from the specified pattern of variation of the vital rates.\"</p>","PeriodicalId":84956,"journal":{"name":"Janasamkhya","volume":"8 1","pages":"35-40"},"PeriodicalIF":0.0,"publicationDate":"1990-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"22014806","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"The distribution of number of births.","authors":"K S Shah","doi":"","DOIUrl":"","url":null,"abstract":"<p><p>\"In this note a probability model for the number of births during a given marital duration of a woman is derived assuming the risk of conception to follow a gamma distribution.\" The model is applied to recent data for India.</p>","PeriodicalId":84956,"journal":{"name":"Janasamkhya","volume":"8 1","pages":"81-8"},"PeriodicalIF":0.0,"publicationDate":"1990-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"22014809","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Time and trajectory of convergence to population stationarity with immigration and low fertility.","authors":"T J Espenshade","doi":"","DOIUrl":"","url":null,"abstract":"<p><p>\"Recent research aimed at extending classical stable population theory to include immigration has shown that a stationary population is the long-term equilibrium outcome if, starting from any initial configuration, a population is projected forward under conditions of constant below-replacement fertility, constant mortality, and a constant annual number of immigrants whose age-sex composition is also fixed. This paper addresses two related questions: (1) What path does the projected population follow on its way to a long-term stationary population equilibrium? and (2) How long does it take for a stationary population to be achieved? To answer these questions a formal theory of population dynamics in the below replacement case is developed and then illustrated with a projection of the 1980 U.S. population.\"</p>","PeriodicalId":84956,"journal":{"name":"Janasamkhya","volume":"8 1","pages":"1-33"},"PeriodicalIF":0.0,"publicationDate":"1990-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"22014805","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Socio-economic development and transition in the duration of post-partum amenorrhoea: survival function analysis of data.","authors":"S N Singh, K K Singh, K Singh, S Singh","doi":"","DOIUrl":"","url":null,"abstract":"<p><p>The impact of improved maternal socioeconomic status in the form of nutritious food on length of postpartum amenorrhea (PPA) is assessed using data for Varanasi city, India, for the period 1987-1990. \"Estimates of survival functions corresponding to data relating to mothers of different social status groups, assumed to represent health condition of mothers, are obtained and compared. Finally, it is concluded that the distribution of duration of PPA is a mixture of two distributions and it differs from one social status group to [the] other.\"</p>","PeriodicalId":84956,"journal":{"name":"Janasamkhya","volume":"8 1","pages":"41-54"},"PeriodicalIF":0.0,"publicationDate":"1990-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"22014807","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"On estimating fertility using first and second order births.","authors":"K B Pathak, P K Murthy","doi":"","DOIUrl":"","url":null,"abstract":"<p><p>\"An attempt has been made to present two regression equations for estimating total fertility rate from the birth order data. While one of the equations has been derived from the longitudinal data of Malaysia another has been obtained from cross sectional data on Mother's total fertility rate...and births of orders one and two. These equations are used to estimate the [total fertility rate] for the districts of [Uttar Pradesh, India,] which are quite close to the estimates obtained by using other methods.\"</p>","PeriodicalId":84956,"journal":{"name":"Janasamkhya","volume":"8 1","pages":"73-9"},"PeriodicalIF":0.0,"publicationDate":"1990-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"22014808","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Fertility decline and gender preference--an experience of Kerala.","authors":"R Ramakumar, K S Devi","doi":"","DOIUrl":"","url":null,"abstract":"","PeriodicalId":84956,"journal":{"name":"Janasamkhya","volume":"7 2","pages":"121-38"},"PeriodicalIF":0.0,"publicationDate":"1989-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"22027453","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Some ways of incorporating both sexes in models that become stable.","authors":"S Mitra","doi":"","DOIUrl":"","url":null,"abstract":"<p><p>The author presents \"four models of birth trajectories in which the female age-specific fertility rates have been assumed to depend on the relative age compositions of both sexes. In each case, the rates fluctuate but approach their limiting values and the age compositions become stable.\"</p>","PeriodicalId":84956,"journal":{"name":"Janasamkhya","volume":"7 2","pages":"71-81"},"PeriodicalIF":0.0,"publicationDate":"1989-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"22027454","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"India in the demographic trap.","authors":"P H Reddy","doi":"","DOIUrl":"","url":null,"abstract":"","PeriodicalId":84956,"journal":{"name":"Janasamkhya","volume":"7 2","pages":"93-102"},"PeriodicalIF":0.0,"publicationDate":"1989-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"22027456","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Fertility level changes in India.","authors":"B N Sarkar","doi":"","DOIUrl":"","url":null,"abstract":"","PeriodicalId":84956,"journal":{"name":"Janasamkhya","volume":"7 2","pages":"103-19"},"PeriodicalIF":0.0,"publicationDate":"1989-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"22026928","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}