Estimating the effective reproduction number of HIV infections in Japan from 1985 to 2025: a Bayesian extended back calculation
- 1Department of Epidemic Intelligence and Health Emergency Response, Center for Health Security, Graduate School of Medicine, Kyoto University
- 2School of Public Health, Graduate School of Medicine, Kyoto University
- 3Department of Epidemiology and Biostatistics, Schulich School of Medicine & Dentistry, Western University
Abstract
Background: HIV transmission among men having sex with men remains a concerning issue in Japan. Therefore, the purpose of the present study was to estimate the effective reproduction number R ( t ) of HIV by coupling a renewal process model with an existing extended back-calculation model in a Bayesian framework.
Methods: We analyzed the annual number of HIV diagnoses and AIDS cases among Japanese males from 1985 through 2025. Using a Bayesian back-calculation with penalized B -splines for the incidence and the diagnosis rate of HIV with a renewal equation, we estimated R ( t ) for Japan and different geographic regions within the country.
Results: From 2008 to 2010, we observed a consistent median value of R ( t ) < 1, with the most recent estimate of R ( t ) being the most uncertain. R ( t ) < 1 was apparent in major metropolitan areas, including Tokyo, Kanto–Koshinetsu, and Kinki, where even the upper bound of the 95% credible interval fell below 1 in the early-to-mid 2010s. The annual HIV diagnosis rate declined from shortly before the start of the COVID-19 pandemic, and the estimated proportion of HIV-infected individuals has increased only slowly in recent years, with the proportion of diagnosed individuals not reaching 95% or even 90% of the true total.
Conclusion: Our general R ( t ) value indicates that the control of HIV/AIDS in Japan has been successful over the long term, including during the COVID-19 pandemic. However, the uncertainty of recent R ( t ) values suggests the need for regular updates of the estimate; reforming the testing and treatment strategies in Japan is vital to accomplishing this goal.
Related
- Bayesian Anchored Latent Learning for Estimating State Trajectories
- Time to sustained control of the effective reproduction number as a failure-time estimand: a county-level analysis of the first SARS-CoV-2 wave in the United States.
- Estimating duration in sex work from cross-sectional studies: a Bayesian global synthesis suggests shorter durations
- Estimating cumulative incidence from partially missing time series of respiratory viral infections
- Enhanced infection control measures during the COVID-19 pandemic significantly reduced healthcare-associated infections in a Chinese cancer hospital: a Bayesian structural time series analysis
BibTeX
@article{fujiwara2026estimating,
title = {{Estimating the effective reproduction number of HIV infections in Japan from 1985 to 2025: a Bayesian extended back calculation}},
author = {Seiko Fujiwara and Hiroshi Nishiura},
journal = {Frontiers in Public Health},
year = {2026},
month = oct,
doi = {10.3389/fpubh.2026.1944492},
url = {https://www.frontiersin.org/articles/10.3389/fpubh.2026.1944492/full},
note = {CC BY 4.0},
}
RIS
TY - JOUR
TI - Estimating the effective reproduction number of HIV infections in Japan from 1985 to 2025: a Bayesian extended back calculation
AU - Seiko Fujiwara
AU - Hiroshi Nishiura
PY - 2026
DA - 2026/10/27
JO - Frontiers in Public Health
DO - 10.3389/fpubh.2026.1944492
UR - https://www.frontiersin.org/articles/10.3389/fpubh.2026.1944492/full
AB - Background: HIV transmission among men having sex with men remains a concerning issue in Japan. Therefore, the purpose of the present study was to estimate the effective reproduction number R ( t ) of HIV by coupling a renewal process model with an existing extended back-calculation model in a Bayesian framework. Methods: We analyzed the annual number of HIV diagnoses and AIDS cases among Japanese males from 1985 through 2025. Using a Bayesian back-calculation with penalized B -splines for the incidence and the diagnosis rate of HIV with a renewal equation, we estimated R ( t ) for Japan and different geographic regions within the country. Results: From 2008 to 2010, we observed a consistent median value of R ( t ) < 1, with the most recent estimate of R ( t ) being the most uncertain. R ( t ) < 1 was apparent in major metropolitan areas, including Tokyo, Kanto–Koshinetsu, and Kinki, where even the upper bound of the 95% credible interval fell below 1 in the early-to-mid 2010s. The annual HIV diagnosis rate declined from shortly before the start of the COVID-19 pandemic, and the estimated proportion of HIV-infected individuals has increased only slowly in recent years, with the proportion of diagnosed individuals not reaching 95% or even 90% of the true total. Conclusion: Our general R ( t ) value indicates that the control of HIV/AIDS in Japan has been successful over the long term, including during the COVID-19 pandemic. However, the uncertainty of recent R ( t ) values suggests the need for regular updates of the estimate; reforming the testing and treatment strategies in Japan is vital to accomplishing this goal.
SN - 2296-2565
ER -