EventsThe 2nd International Online Conference on Mathematics and Applications
Published
This submission belongs to the session S3. Statistics and Operational Research of the event The 2nd International Online Conference on Mathematics and Applications
Published date
04 Jun, 2026
Academic Editor
author-avatarAntonio Di Crescenzo
Citation
Sudipta Roy Choudhury, Can Replacement-Level Fertility Reverse Population Decline? Evidence from Cohort–Component Projections, in Proceedings of The 2nd International Online Conference on Mathematics and Applications, 10 June–12 June 2026, MDPI: Basel, Switzerland
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Can Replacement-Level Fertility Reverse Population Decline? Evidence from Cohort–Component Projections

1. Department of Statistics, Amity University - Kolkata, Major Arterial Road (South-East), Action Area II, Newtown, Kolkata, West Bengal 700135, India, India
Abstract

Introduction

Advanced countries have experienced prolonged below-replacement fertility, leading to population aging and, in many cases, decline [1,2]. A key consequence is the contraction of childbearing-age cohorts, raising the question of whether restoring fertility to replacement level can stabilize population size [3].

Methods

This study adopts a theoretical cohort–component projection approach grounded in stable population theory and the concept of population momentum [3,4]. Starting from low-fertility-age structures, projections assume an immediate shift to replacement fertility, constant mortality, and zero migration. Population trajectories are assessed through cohort evolution, focusing on reproductive-age groups and momentum effects [5].

Results

The analysis demonstrates that populations shaped by sustained below-replacement fertility exhibit negative population momentum [3]. While replacement-level fertility slows decline, it does not stabilize population size. The extent of decline depends on past fertility suppression, leading to smaller reproductive cohorts and increased population aging [6].

Conclusions

The findings indicate that fertility restoration alone is insufficient to reverse population decline in advanced low-fertility societies. Age structure and demographic inertia strongly shape outcomes [3,4]. Policies must address long-term aging and structural decline beyond fertility measures [2].

References:

  1. Bongaarts, J. Human Population Growth and the Demographic Transition. Philos. Trans. R. Soc. B 2009, 364, 2985–2990.
  2. Lutz, W.; Sanderson, W.; Scherbov, S. The Coming Acceleration of Global Population Ageing. Nature 2008, 451, 716–719.
  3. Keyfitz, N. On the Momentum of Population Growth. Demography 1971, 8, 71–80.
  4. Preston, S.H.; Heuveline, P.; Guillot, M. Demography: Measuring and Modeling Population Processes; Blackwell: Oxford, 2001.
  5. Spears, D.; Vyas, S.; Weston, G.; Geruso, M. Long-Term Population Projections: Scenarios of Low or Rebounding Fertility. PLoS ONE 2024, 19, e0298190.
  6. Sobotka, T. Post-Transitional Fertility: Childbearing Postponement and Low Fertility. Popul. Dev. Rev. 2017, 43, 641–680.
Keywords
population decline
population momentum
cohort–component projection
age structure
fertility recovery
advanced countries
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