Global estimation and scenario-based projections of sex ratio at birth and missing female births using a Bayesian hierarchical time series mixture model
Fengqing Chao, Patrick Gerland, Alex R. Cook, Leontine Alkema

TL;DR
This paper introduces a Bayesian hierarchical time series mixture model to estimate and project sex ratio at birth (SRB) imbalances globally, accounting for variability, uncertainty, and potential transitions, to assess future missing female births.
Contribution
It develops a novel Bayesian model for SRB estimation and scenario-based projections, capturing transition dynamics and identifying countries at risk of imbalance.
Findings
Identifies countries with statistically significant SRB inflation.
Models three stages of SRB transition: increase, stagnation, and convergence.
Projects future missing female births under various scenarios.
Abstract
The sex ratio at birth (SRB) is defined as the ratio of male to female live births. The SRB imbalance in parts of the world over the past several decades is a direct consequence of sex-selective abortion, driven by the co-existence of son preference, readily available technology of prenatal sex determination, and fertility decline. Estimation and projection of the degree of SRB imbalance is complicated because of variability in SRB reference levels and because of the uncertainty associated with SRB observations. We develop Bayesian hierarchical time series mixture models for SRB estimation and scenario-based projections for all countries from 1950 to 2100. We model the SRB regional and national reference levels, and the fluctuation around national reference levels. We identify countries at risk of SRB imbalances and model both (i) the absence or presence of sex ratio transitions in such…
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