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Life expectancy at birth and life disparity: an assessment of sex differentials in mortality in India

       reas the male life expectancy at birth was higher in the 1970s and 1980s (Dyson, 1984). However, in
       recent decades, in spite of higher child and maternal mortality, life expectancy at birth of females has
       surpassed that of males. The increase in life expectancy at birth was more rapid in rural than in urban
       areas. The increase in life expectancy at birth also varied across Indian states. There was a strong
       North-South gradient across the states, with great variations in the level and the pace of mortality
       reduction over time (Bhat, 1987; Saikia, Jasilionis, Ram et al., 2011). The pace of mortality decline
       was faster than international standard for males in Kerala and Tamil Nadu, and for females in Kerala,
       Tamil Nadu, Himachal Pradesh, and Uttar Pradesh (Chaurasia, 2010).
         The  sex  differentials in mortality  indicators  also vary by age, in India. Research  on infant
       and child mortality in India showed significant sex differentials (Subramanian, Nandy, Irving et al.,
       2006; Claeson, Bos, Mawji et al., 2000). Although the sex differential in adult mortality was not
       very high, it has been increasing continuously since the declining female mortality outpaced male
       mortality (Saikia and Ram, 2010). At older ages, the probability of survival is much higher among
       females than males in India in the recent decades (Chaurasia, 2010).
         The distribution of deaths in 2013 by age showed that child (aged 0–4) deaths constituted 3% of
       the total deaths in Kerala compared with  25%  in  Uttar Pradesh, whereas adult (aged  15–59)
       deaths constituted almost 30% to 35% of the total deaths in all the major states of India (RGI, 2014).
       Saikia et al. (2013) further demonstrated that there was a substantial rural–urban difference in infant
       mortality  at both  national and  state levels. Such  a  rural-urban difference  in  infant mortality  was
       found in both socio-economically advanced states (e.g., Goa, Kerala) and disadvantaged states (e.g.,
       Madhya Pradesh, Assam, and Orissa).
       2. Data and Methods

       2.1 Data

       The Sample Registration System (SRS), under the auspices of the Office of the Registrar General of
       India (RGI), is the major source of mortality data and life tables in India (RGI, 2014). SRS is a dual
       record system with the continuous registration of birth and deaths in a nationally representative sam-
       ple of villages and  urban blocks  in  addition  to a half-yearly survey for an independent count of
       events to update the demographics of the sample population. Events recorded in both the operations
       are matched to identify the unmatched and partially matched events, which can be referred to the
       field for verification. SRS provides information on age-specific death rates in different age groups
       and the abridged life tables starting 1970–1975. The data on death rates along with the abridged life
       tables from 1970–1975 till the recent time period (ORG 1984, 1985, 1989; RGI 1994, 1996–2010,
       1998) were used in this study.
         The quality of death statistics, in particular, uneven completeness of death registration by age, and
       systematic age misreporting can have an adverse impact on the accuracy of a life table and estimated
       life  expectancy and life  disparity. Nevertheless, SRS  data are  considered  the most reliable  of all
       death statistics in India (Roy and Lahiri, 1988; National Commission on Population, 2001; Mathers,
       Fat, Inoue et al., 2005). Definition of terms, administrative guidelines, and data collection methods
       of SRS are consistent over time, allowing for comparisons across time periods. An SRS representa-
       tive character allows for estimation of vital statistics for India and the major states. The death regis-
       tration completeness was about 95% for both males and females during 1971–1980. Evaluation for
       the recent time period 1990–1997 suggested no substantial changes in the completeness of reporting
       of either deaths or births in SRS (Bhat, 2002). With exceptions at the older ages, the registration of
       deaths at both childhood and adult ages was considered to be reliable because they were consistent
       with the SRS data (Saikia, Jasilionis, Ram et al., 2011).

       2.2 Complete Life Table Construction

       nq x (the probability of dying from age x to x+n) was segregated into  1q x  (the probability of dying

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