Volume 35 Issue 2
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LI Yan Yan, DING Wen Hao, BAI Yi Chun, WANG Lei, WANG Yong Bin. Estimating the Effects of the COVID-19 Outbreak on the Decreasing Number of Acquired Immune Deficiency Syndrome Cases and Epidemiological Trends in China[J]. Biomedical and Environmental Sciences, 2022, 35(2): 141-145. doi: 10.3967/bes2022.019
Citation: LI Yan Yan, DING Wen Hao, BAI Yi Chun, WANG Lei, WANG Yong Bin. Estimating the Effects of the COVID-19 Outbreak on the Decreasing Number of Acquired Immune Deficiency Syndrome Cases and Epidemiological Trends in China[J]. Biomedical and Environmental Sciences, 2022, 35(2): 141-145. doi: 10.3967/bes2022.019

Estimating the Effects of the COVID-19 Outbreak on the Decreasing Number of Acquired Immune Deficiency Syndrome Cases and Epidemiological Trends in China

doi: 10.3967/bes2022.019
Funds:  This work was supported by the Innovation and Entrepreneurship Training Project for University Students of Henan Province and Xinxiang Medical University [S202110472047, S202010472007, and XYXSKYZ201932]; the Key Scientific Research Project of Universities in Henan [21A330004]; and the National Natural Fund Youth Project [31802024]
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  • Author Bio:

    LI Yan Yan, female, born in 1996, Master of Medical Science, majoring in infectious disease epidemiology

  • Corresponding author: WANG Yong Bin, Professor, MD, Tel: 86-373-3831646, E-mail: wybwho@163.com
  • Received Date: 2021-08-24
  • Accepted Date: 2021-11-04
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  • [1] Chinese Center for Disease Control and Prevention. Infectious diseases. http://www.chinacdc.cn/mtbd_8067/201610/t20161031_135188.html. [2021-10-21]. (In Chinese)
    [2] Pan A, Liu L, Wang CL, et al. Association of public health interventions with the epidemiology of the COVID-19 outbreak in Wuhan, China. JAMA, 2020; 323, 1915−23. doi:  10.1001/jama.2020.6130
    [3] Brodersen KH, Gallusser F, Koehler J, et al. Inferring causal impact using Bayesian structural time-series models. Ann Appl Stat, 2015; 9, 247−74.
    [4] Wang YB, Xu CJ, Ren JC, et al. Secular seasonality and trend forecasting of tuberculosis incidence rate in china using the advanced error-trend-seasonal framework. Infect Drug Resist, 2020; 13, 733−47. doi:  10.2147/IDR.S238225
    [5] WHO. Global tuberculosis report 2020.https://apps.who.int/iris/handle/10665/336069. [2021-10-21].
    [6] Qi JL, Zhang DD, Zhang X, et al. Do lockdowns bring about additional mortality benefits or costs? Evidence based on death records from 300 million Chinese people. medRxiv, 2021.
    [7] Scott SL, Varian HR. Bayesian variable selection for nowcasting economic time series. National Bureau of Economic Research. Cambridge. 2013.
    [8] WHO. Global health sector strategy on HIV: 2016-2021.https://www.who.int/publications/i/item/WHO-HIV-2016.05. [2021-10-21].
    [9] WHO. HIV/AIDS.https://www.who.int/health-topics/hiv-aids#tab=tab_1. [2021-10-21].
    [10] Xu JJ, Reilly KH, Lu CM, et al. A cross-sectional study of HIV and syphilis infections among male students who have sex with men (MSM) in northeast China: implications for implementing HIV screening and intervention programs. BMC Public Health, 2011; 11, 287. doi:  10.1186/1471-2458-11-287
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Estimating the Effects of the COVID-19 Outbreak on the Decreasing Number of Acquired Immune Deficiency Syndrome Cases and Epidemiological Trends in China

doi: 10.3967/bes2022.019
Funds:  This work was supported by the Innovation and Entrepreneurship Training Project for University Students of Henan Province and Xinxiang Medical University [S202110472047, S202010472007, and XYXSKYZ201932]; the Key Scientific Research Project of Universities in Henan [21A330004]; and the National Natural Fund Youth Project [31802024]
  • Author Bio:

  • Corresponding author: WANG Yong Bin, Professor, MD, Tel: 86-373-3831646, E-mail: wybwho@163.com
LI Yan Yan, DING Wen Hao, BAI Yi Chun, WANG Lei, WANG Yong Bin. Estimating the Effects of the COVID-19 Outbreak on the Decreasing Number of Acquired Immune Deficiency Syndrome Cases and Epidemiological Trends in China[J]. Biomedical and Environmental Sciences, 2022, 35(2): 141-145. doi: 10.3967/bes2022.019
Citation: LI Yan Yan, DING Wen Hao, BAI Yi Chun, WANG Lei, WANG Yong Bin. Estimating the Effects of the COVID-19 Outbreak on the Decreasing Number of Acquired Immune Deficiency Syndrome Cases and Epidemiological Trends in China[J]. Biomedical and Environmental Sciences, 2022, 35(2): 141-145. doi: 10.3967/bes2022.019
  • Since the first case of acquired immune deficiency syndrome (AIDS) was detected in the United States in 1981, this disease has spread to every corner of the world. Despite the annual incidence of AIDS showing a slight decline since 1997, it remains a major cause of infectious disease-related death worldwide. Unlike global epidemiological trends, the number of notified AIDS cases has increased in recent years in China[1]. Moreover, among the class B notifiable infectious diseases, AIDS was responsible for the highest mortality rate from 2008 to 2019, still failing to be identified as a vaccine-preventable disease[1]. Thus, to provide more unambiguous and quantitative direction for the effective formulation of preventive planning strategies and for the reasonable allocation of limited resources, a forecasting model with high precision and accuracy to understand the future epidemic behaviors of AIDS is required. During the model-building process, accurate statistics are vital to ensure the forecasting accuracy of the model.

    Since December 2019, coronavirus disease 2019 (COVID-19) has rapidly evolved into a major global public health issue. Confronted with this unprecedented crisis, countries have taken various measures to stop the continued spread of COVID-19. In China, a series of effective measures were implemented, and these measures played an important role in stopping the spread of COVID-19[2]. However, it is discovered that these rigorous prevention and control strategies and measures also had an effect on the incidence and mortality rates of other diseases; however, further studies are needed to measure the impacts. To date, there are no reports on the effect of such interventions on AIDS case numbers in China.

    Time series analysis is frequently used to provide predictions that aid the development of effective prevention and control strategies. The causal impacts of strict counter-virus measures on AIDS case numbers can be assessed with intervention analysis under the Bayesian structural time series (BSTS) model that can generate a counterfactual prediction in a synthetic control series to describe outcomes in the absence of the intervention[3]. Therefore, the current study aims to estimate the effect of counter-COVID-19 measures on the reduction in AIDS case notifications and to predict the epidemic patterns using the BSTS model. Our findings offer insight that will aid the development of effective strategies to control AIDS case numbers in China in the future.

    The monthly number of AIDS cases and population data from 31 provinces in mainland China from January 2004 to December 2020 were collected. All cases were checked medically and diagnosed in accordance with the diagnostic criteria for HIV/AIDS before being reported to the Chinese Centre for Disease Control. Considering the effects of COVID-19 on the epidemiological trend of AIDS, the data from January 2004 to December 2019 were only used when exploring the usefulness and flexibility of the BSTS model in forecasting trends in the AIDS epidemics. The average annual percentage change (AAPC) and annual percentage change (APC) were employed to describe the epidemic patterns of AIDS[4]. The BSTS model was used to perform causal inference and time series forecasting. The mean absolute deviation (MAD), root mean square error (RMSE), mean absolute percentage error (MAPE), mean error rate (MER), and root mean square percentage error (RMSPE) were adopted to judge the forecasting performance of the BSTS model[4]. All statistical analyses were performed using R software (Version 3.4.3).

    During the study period, there were a total of 643,800 case notifications (2.866 per 100,000 persons). A notable upward trend was observed in case numbers [AAPC = 20.446, 95% confidence interval (CI) 16.685 to 24.329; t = 11.493, P < 0.001] that comprised two stages: an upsurge from 2004 to 2010 (APC = 41.731, 95% CI 31.421 to 52.849; t = 10.062, P < 0.001) and then a slow increase from 2011 to 2020 (APC = 6.127, 95% CI 3.825 to 8.481; t = 5.907, P < 0.001) (Supplementary Figure S1, available in www.besjournal.com). The primary reason for this variation may be China's action planning on the prevention and control of AIDS (2006–2010), which stated that by 2010, the number of people living with HIV in China must be reduced to less than 1.5 million, and therefore a series of AIDS prevention measures were implemented. The incidence of AIDS showed a trough in January/February and a peak in December each year, and this seasonal pattern became more marked since 2010 (Supplementary Figure S2, available in www.besjournal.com). The effect of the spring festival may be closely related to the seasonality of AIDS.

    Figure S1.  Joinpoint regression plot showing the AIDS epidemiological trends during 2004–2020. *Showed that the annual percent change (APC) is statistically significant.

    Figure S2.  Time series plot showing the AIDS incidence and the decomposed tend and cyclicity based on the Hodrick-Prescott filter technique.

    The year 2020 was regarded as a period of intervention when performing intervention analysis using the BSTS method. In estimating the causal effect of interventions on case number reduction by use of the BSTS method, the seasonality, time effects, and the population were deemed as covariates. The predicted expected case notifications are provided in Table 1, suggesting a monthly average decrease in AIDS case notifications of 41% (95% CI 24% to 58%) from January–March 2020, 19% (95% CI 14% to 46%) from January–June 2020, and 16% (95% CI 7.3% to 24%) from January–December 2020 owing to the COVID-19 pandemic. The BSTS model can infer the temporal changing trends of potential effects, incorporate prior empirical information on the parameters, and deal with a complex covariate structure[3]. Considering that the Bayesian confidential interval and posterior probability of a causal effect under the BSTS model rejected the reduction in AIDS case notifications owing to the COVID-19 outbreak as a random event, this confirmed reliable evidence for a true causal impact (Table 1, Supplementary Figures S3 and S4, available in www.besjournal.com). This result suggested that COVID-19 may have resulted in medium- and longer-term impacts for the AIDS epidemic, which corroborated a previous finding that COVID-19 may have medium- and longer-term impacts on disease patterns[5]. There are a number of possible explanations for these effects[5, 6]. First, people with chronic conditions or mild symptoms were discouraged from seeking medical help to reduce congestion in hospitals. Second, the stringent prevention and control measures and the mandatory requirement for the negative results of nucleic acid testing may have resulted in reluctance among people infected with HIV to have a medical diagnosis and examination. Third, many hospitals declined non-urgent service requests, especially when the medical system was overburdened during the peak of the COVID-19 outbreak. Fourth, there has been a significant decrease in the number of people administered preventive AIDS treatment, and a decrease in spending on AIDS diagnostic, therapeutic, and prevention services. Fifth, AIDS-specialized medical personnel and molecular diagnostic platforms may have been reallocated to the COVID-19 response. Sixth, the stringent anti-contagion policies restricted the movement of people, and the sudden economic disruption may have made it difficult for people infected with HIV to visit hospitals. Seventh, there are some similarities between the clinical features of AIDS (e.g., influenza-like symptoms, systemic fatigue, loss of appetite, fever, and cough) and COVID-19, resulting in concerns about stigma. Lastly, there have been delays in reporting HIV infections during the COVID-19 pandemic.

    MonthsAverage casesPredictions
    (95% CI)
    Absolute effect
    (95% CI)
    Cumulative casesPredictions
    (95% CI)
    Absolute effect
    (95% CI)
    Relative effect,
    % (95% CI)
    PProb. of causal
    effect, %
    12,7595,355
    (3,797, 6,920)
    −2,596
    (−4,161, −1,038)
    2,7595,355
    (3,797, 6,920)
    −2,693
    (−4,295, −1,141)
    −48
    (−78, −19)
    0.00299.80
    1−22,4465,437
    (4,308, 6,531)
    −2,991
    (−4,085, −1,862)
    4,89210,874
    (8,615, 13,062)
    −5,982
    (−8,170, −3,723)
    −55
    (−75, −34)
    0.00199.90
    1−33,2335,520
    (4,553, 6,425)
    −2,286
    (−3,191, −1,320)
    9,70016,559
    (13,659, 19,274)
    −6,859
    (−9,574, −3,959)
    −41
    (−58, −24)
    0.00199.90
    1−43,9155,602
    (4,708, 6,478)
    −1,687
    (−2,563, −793)
    15,66022,409
    (18,831, 25,911)
    −6,749
    (−10,251, −3,171)
    −30
    (−46, −14)
    0.00199.90
    1−54,2295,684
    (4,919, 6,486)
    −1,456
    (−2,257, −690)
    21,14428,422
    (24,594, 32,431)
    −7,278
    (−11,287, −3,450)
    −26
    (−40, −12)
    0.00199.90
    1−64,6765,767
    (4,963, 6,520)
    −1,090
    (−1,844, −286)
    28,05934,600
    (29,777, 39,120)
    −6,541
    (−11,061, −1,718)
    −19
    (−32, −5)
    0.00499.60
    1−74,8835,849
    (5,185, 6,526)
    −966
    (−1,642, −301)
    34,18340,943
    (36,292, 45,680)
    −6,760
    (−11,497, −2,109)
    −17
    (−28, −5.1)
    0.00399.70
    1−84,9195,931
    (5,627, 6,628)
    −1,013
    (−1,709, −348)
    39,34947,449
    (42,135, 53,025)
    −8,100
    (−13,676, −2,786)
    −17
    (−29, −5.9)
    0.00299.80
    1−95,1426,013
    (5,401, 6,646)
    −872
    (−1,504, −259)
    46,27654,121
    (48,607, 59,813)
    −7,845
    (−13,537, −2,331)
    −14
    (−25, −4.3)
    0.00499.60
    1−105,0826,096
    (5,482, 6,715)
    −1,013
    (−1,633, −400)
    50,82260,957
    (54,822, 67,153)
    −10,135
    (−16,331, −4,001)
    −17
    (−27, −6.6)
    0.00199.90
    1−115,1506,178
    (5,608, 6,790)
    −1,028
    (−1,640, −458)
    56,64667,958
    (61,685, 74,690)
    −11,312
    (−18,044, −5,039)
    −17
    (−27, −7.4)
    0.00299.80
    1−125,2636,260
    (5,719, 6,784)
    −997
    (−1,521, −457)
    63,15475,124
    (68,634, 81,407)
    −11,970
    (−18,253, −5,480)
    −16
    (−24, −7.3)
    0.00299.80
      Note. CI, confidence interval

    Table 1.  Causal effects of the COVID-19 pandemic on the reductions in the monthly average and cumulative number of AIDS cases from January–December 2020

    The expected figures were forecasted by averaging across the 500 Markov Chain Monte Carlo (MCMC) draws under the BSTS model (Supplementary Tables S1S6, available in www.besjournal.com). Table 2 lists the values of MAD, RMSE, MAPE, MER, and RMSPE, which measure the predictive ability of the BSTS model. Accurate forecasts for the 12, 24, 36, 48, and 60 holdout periods were obtained because of the low error rates (this can be attributed to the BSTS model accurately showing the stochastic behavior of a time series and generating a projection based on the Bayesian model averages[7]). Whereas, an unacceptable forecast for the 72 holdout period was obtained owing to the large values of the above-mentioned five indices, especially the MAPE value, which was greater than 50% (Supplementary Figure S5, available in www.besjournal.com).

    BSTS ModelsTesting horizons
    MADMAPERMSEMERRMSPE
    12-step ahead prediction874.24813.4691,110.4820.1440.167
    24-step ahead prediction604.93111.062723.1400.1050.131
    36-step ahead prediction890.65516.8531,088.4630.1630.202
    48-step ahead prediction2,062.47337.5342,541.3010.3920.440
    60-step ahead prediction767.23015.2281,020.5220.1510.199
    72-step ahead prediction3,140.36059.8213,889.4890.6440.698
      Note. BSTS, Bayesian structural time series model; MAD, mean absolute deviation; MAPE, mean absolute percentage error; RMSE, root mean square error; MER, mean error rate; RMSPE, root mean square percentage error.

    Table 2.  Comparisons of the predictive performance under the BSTS models

    TimeObserved valuesForecastsLower 95% CIUpper 95% CI
    Jan-193,6883,5852,3125,456
    Feb-193,5873,7052,3925,749
    Mar-196,0867,0964,43511,251
    Apr-196,2776,2433,56110,956
    May-196,2917,1603,95313,509
    Jun-196,6427,9984,62914,462
    Jul-196,9127,4194,01713,787
    Aug-196,4047,4953,99415,313
    Sep-196,4357,6453,91914,208
    Oct-196,2076,5543,21012,858
    Nov-197,3668,6854,18217,364
    Dec-196,7359,2624,64818,713
      Note. BSTS, bayesian structural time series; CI, confidence interval.

    Table S1.  Projection into the next 12 months with the best BSTS model

    TimeObserved valuesForecastsLower 95% CIUpper 95% CI
    Jan-142,2452,2481,3643,811
    Feb-142,2892,3261,4174,103
    Mar-144,2214,5512,7968,753
    Apr-143,3694,0712,3377,789
    May-143,8234,3002,2428,564
    Jun-144,4325,1762,63211,535
    Jul-144,3546,0503,23713,252
    Aug-143,9975,1182,51810,324
    Sep-144,6115,0952,51011,326
    Oct-143,9994,2162,0809,447
    Nov-144,4645,3882,33412,817
    Dec-145,4115,9832,38914,747
    Jan-152,5972,8861,2498,076
    Feb-152,2942,9911,1218,015
    Mar-154,2385,8552,10316,965
    Apr-154,2995,3581,82115,957
    May-154,4015,7322,18017,290
    Jun-155,0896,5512,35619,142
    Jul-154,7017,3662,03125,922
    Aug-154,2686,2241,91922,123
    Sep-154,9676,3041,84321,615
    Oct-153,9555,0181,32516,571
    Nov-155,0406,9261,81725,702
    Dec-155,7077,2421,65126,487
    Jan-162,8623,49978014,964
    Feb-162,5823,61977315,472
    Mar-165,2557,0451,59629,623
    Apr-164,5746,5111,43029,495
    May-165,0417,0171,52734,917
    Jun-165,1597,9901,74038,840
    Jul-164,4598,9771,779463,46
    Aug-164,4697,7711,60438,165
    Sep-164,8777,8921,44340,796
    Oct-164,2446,2281,00429,315
    Nov-165,7438,2051,68638,088
    Dec-166,3359,2411,48962,837
    Jan-172,0534,24680424,857
    Feb-173,3254,47082624,584
    Mar-175,1798,4951,27649,529
    Apr-174,1407,7441,22040,241
    May-175,0258,6281,42561,772
    Jun-175,9169,5321,39776,932
    Jul-174,95010,7861,55182,617
    Aug-175,4009137123790,036
    Sep-175,2839,1811,19589,067
    Oct-174,4857,44686274,554
    Nov-176,1369,6711,31991,413
    Dec-176,62210,8571,249109,528
    Jan-183,3095,18160648,530
    Feb-182,5595,15758249,770
    Mar-185,33110,0821,226105,203
    Apr-184,6429,580925109,208
    May-185,59310,1711,08695,111
    Jun-185,80911,6791,260128,081
    Jul-185,28912,8901,174144,514
    Aug-185,75011,262935131,632
    Sep-186,15511,565799141,919
    Oct-185,8239,189664102,419
    Nov-187,62211,9521,042159,851
    Dec-187,89712,981959151,496
    Jan-193,6886,42753867,619
    Feb-193,5876,51547691,573
    Mar-196,08612,569971138,145
    Apr-196,27711,290724155,486
    May-196,29112,570814188,043
    Jun-196,64214,170873201,496
    Jul-196,91216,1991,331183,713
    Aug-196,40413,710916196,102
    Sep-196,43513,720863222,283
    Oct-196,20711,039589166,215
    Nov-197,366141,95829260,006
    Dec-196,73516,142885272,946
      Note.BSTS, bayesian structural time series; CI, confidence interval.

    Table S6.  Projection into the next 72 months with the best BSTS model

    At present, the WHO has proposed an ambitious target for AIDS prevention, with a 75% reduction in new infections, including key populations, from 2010 to 2020, and the end of the AIDS epidemic as a public health threat by 2030[8]. Accordingly, we re-erected the BSTS model based on 17 complete years of data (including the modified 2020 data) to forecast the AIDS epidemic from January 2021 to December 2025. The results showed that the estimated incident rates will continue to surge (APC = 6.374, 95% CI 5.541 to 7.213; t = 16.855, P < 0.001) reaching a comparatively high level of 94,870 cases (95% CI 1,620 to 5,611,911) in 2025, which will be 2.593-fold higher than the 36,594 cases recorded in 2010 (Supplementary Table S7, Figures S6 and S7, available in www.besjournal.com). Currently, an estimated 70% of individuals infected with HIV globally occur in low- and middle-income settings, mainly in eastern and southern Africa, western and central Africa, and the Asian–Pacific region[9], and achieving set objectives will also depend on whether efforts in these settings accelerate or stall. Moreover, China's new AIDS cases accounted for 23% of the total number of new infections in the Asian–Pacific region in 2019[9]. These findings indicate that AIDS will still plague China and achieving the goal of ending the AIDS epidemic by 2030 poses a great challenge[8]. Therefore, to tackle such a major public health problem, intervention strategies need to be strengthened and new effective prophylaxis methods for AIDS need to be proactively explored. In addition, it is estimated that more than 60% of AIDS cases are infected through heterosexual sex, and student infections are increasing in China[10], thus there is an imminent need to implement HIV screening and popularize earlier sex education (from age 9) according to UNESCO guidance.

    TimeForecastsLower 95% CIUpper 95% CI
    Jan-213,9972,5706,051
    Feb-214,0292,7446,276
    Mar-217,3654,57811,810
    Apr-216,7964,23910,739
    May-217,3404,30312,784
    Jun-218,0964,50113,923
    Jul-217,9054,59214,086
    Aug-217,7174,19215,547
    Sep-217,7804,32515,556
    Oct-216,7923,49313,938
    Nov-218,3484,26016,684
    Dec-218,9234,32019,075
    Jan-224,2051,83810,566
    Feb-224,3311,63010,914
    Mar-227,8043,28218,627
    Apr-226,9712,79619,686
    May-227,8542,66224,626
    Jun-228,4622,88526,701
    Jul-228,3492,54329,112
    Aug-228,1132,31229,307
    Sep-227,9872,46628,822
    Oct-226,9871,81427,818
    Nov-228,7342,15936,316
    Dec-229,0772,20441,700
    Jan-234,38393221,373
    Feb-234,35982426,530
    Mar-238,0551,70042,445
    Apr-237,3541,39946,078
    May-238,0761,40754,858
    Jun-238,7531,53169,291
    Jul-238,4511,19568,181
    Aug-238,4171,23892,746
    Sep-238,2581,04268,585
    Oct-237,25183867,220
    Nov-238,91797598,745
    Dec-239,38098399,853
    Jan-244,43639147,999
    Feb-244,54536458,966
    Mar-248,161616123,931
    Apr-247,552472129,781
    May-248,209480142,703
    Jun-249,008583187,843
    Jul-248,725426189,636
    Aug-248,648426224,957
    Sep-248,502384171,097
    Oct-247,510307163,992
    Nov-249,163297267,638
    Dec-249,575327312,094
    Jan-254,594141158,220
    Feb-254,651114182,361
    Mar-258,332230324,672
    Apr-257,598157307,727
    May-258,367147400,556
    Jun-259,073190522,450
    Jul-258,714134535,229
    Aug-258,604122576,059
    Sep-258,463104548,544
    Oct-257,485100525,668
    Nov-259,45397726,947
    Dec-2595,3684803,479
      Note.BSTS, bayesian structural time series; CI, confidence interval.

    Table S7.  Projection into time windows between January 2021 and December 2025 with the best BSTS model

    Figure S6.  Time series plot showing the forecasting results until 2025. This plot displays the actual series in red, and the fitting and forecasting results as a blue line. It seemed that the BSTS method predicted a rising trend from January 2021 to December 2025.

    Figure S7.  Joinpoint regression plot showing the AIDS epidemiological trends during 2004–2025. *Showed that the annual percent change (APC) is statistically significant.

    This study had several limitations. First, the data spanned the period of policy intervention (2010). Though the results stemmed from the preferred model are as good as the expected, the real effects before and after the sudden escalation of AIDS morbidity on the model accuracy remain unknown. Second, an estimated 32.4% of people who have been infected with AIDS are unaware of their infection status in China[1]. Hence, the actual situation may be more serious than that estimated. Third, many complicated influencing factors, some of which may be unpredictable, can be contributors to the transmission of AIDS incidence. Fourth, it is necessary to make timely updates to models as short-term data becomes available to increase the predictive ability of the model. Lastly, the analytical epidemic data merely represent the country-level situation and overall trends in AIDS incidence, our method may be of great benefit to other regions or infectious diseases as well.

    In summary, the current findings indicate that COVID-19 may have significant consequences for the AIDS epidemic, as determined by the BSTS model. This model can act as a useful technique to estimate the temporal behaviors of AIDS, and thus assist policymakers in rationally allocating health resources and appropriately formulating prevention and control strategies for this disease. Since new AIDS infections will continue to increase, there is an urgency to adopt appropriate and effective prevention and control policies in China.

    TimeObserved valuesForecastsLower 95% CIUpper 95% CI
    Jan-183,3092,7061,7334,268
    Feb-182,5593,2822,0345,223
    Mar-185,3315,7643,4539,530
    Apr-184,6425,0843,0128,324
    May-185,5935,7133,33710,153
    Jun-185,8096,5893,81713156
    Jul-185,2895,9473,41310,132
    Aug-185,7506,0462,98211,945
    Sep-186,1556,2993,33913,452
    Oct-185,8235,1562,81910,586
    Nov-187,6226,7243,59413,686
    Dec-187,8977,7823,96015,353
    Jan-193,6883,2701,4608,265
    Feb-193,5873,9481,6919,199
    Mar-196,0866,7753,09116,810
    Apr-196,2775,9472,57015,191
    May-196,2917,0843,00617,463
    Jun-196,6427,9163,59522,345
    Jul-196,9127,1612,98320,196
    Aug-196,4047,1672,80621,118
    Sep-196,4357,2232,76822,372
    Oct-196,2075,9072,18619,169
    Nov-197,3668,0813,16423,776
    Dec-196,7358,6963,09529,832
      Note. BSTS, bayesian structural time series; CI, confidence interval.

    Table S2.  Projection into the next 24 months with the best BSTS model

    TimeObserved valuesForecastsLower 95% CIUpper 95% CI
    Jan-172,0532,9441,8684,654
    Feb-173,3252,8151,7494,723
    Mar-175,1795,5773,3709,258
    Apr-174,1404,9762,7888,672
    May-175,0255,5172,83410,287
    Jun-175,9166,3773,48212,599
    Jul-174,9506,2693,14112,730
    Aug-175,4005,7172,74811,901
    Sep-175,2836,0593,00812,664
    Oct-174,4855,1002,34510,740
    Nov-176,1366,3713,00614,836
    Dec-176,6227,1312,98616,146
    Jan-183,3093,4411,5047,664
    Feb-182,5593,2671,2998,142
    Mar-185,3316,5692,30314,159
    Apr-184,6426,0232,29615,409
    May-185,5936,3942,03415,797
    Jun-185,8097,6062,41819,859
    Jul-185,2897,2002,27921,236
    Aug-185,7506,6732,30722,733
    Sep-186,1557,2432,02121,877
    Oct-185,8235,7691,75518,021
    Nov-187,6227,5482,44524,995
    Dec-187,8978,1222,11225,658
    Jan-193,6884,0141,17813,043
    Feb-193,5873,79684214,831
    Mar-196,0867,5281,73928,360
    Apr-196,2776,7921,59624,977
    May-196,2917,4991,69226,202
    Jun-196,6428,6621,90137,588
    Jul-196,9128,2511,83137,973
    Aug-196,4047,6611,74633,448
    Sep-196,4358,1791,76434,716
    Oct-196,2076,6711,31227,925
    Nov-197,3668,4181,56535,771
    Dec-196,7359,5281,60640,078
      Note. BSTS, bayesian structural time series; CI, confidence interval.

    Table S3.  Projection into the next 36 months with the best BSTS model

    TimeObserved valuesForecastsLower 95% CIUpper 95% CI
    Jan-162,8622,7661,7814,174
    Feb-162,5822,7511,7174,439
    Mar-165,2555,2593,1688,292
    Apr-164,5744,9382,8318,590
    May-165,0415,1512,9228,973
    Jun-1651596106345411682
    Jul-164,4596,1733,19711,654
    Aug-164,4695,7452,79711,691
    Sep-164,8776,0613,02913,069
    Oct-164,2444,8852,2959,766
    Nov-165,7436,1463,01812,823
    Dec-166,3356,8983,03314,758
    Jan-172,0533,3391,5927,973
    Feb-173,3253,3621,4338,756
    Mar-175,1796,3212,55715,687
    Apr-174,1405,8762,22113,813
    May-175,0256,2632,29015,660
    Jun-175,9167,4972,77918,637
    Jul-174,9507,6432,27722,919
    Aug-175,4006,8072,34122,403
    Sep-175,2837,4432,33322,594
    Oct-174,4855,8531,74516,034
    Nov-176,1367,3882,24523,326
    Dec-176,6228,3322,70629,883
    Jan-183,3094,0211,12313,424
    Feb-182,5593,9941,03714,080
    Mar-185,3317,7242,01127,797
    Apr-184,6427,0501,96331,483
    May-185,5937,5731,90027,575
    Jun-185,8099,4082,44937,644
    Jul-185,2899,8042,31240,557
    Aug-185,7508,5102,01441,629
    Sep-186,1559,4782,19836,469
    Oct-185,8237,4411,44732,547
    Nov-187,6229,2391,97937,493
    Dec-187,89710,5271,78344,662
    Jan-193,6885,1951,08624,229
    Feb-193,5875,1561,04225,715
    Mar-196,0869,8181,86050,315
    Apr-196,2779,0661,67946,861
    May-196,2919,8841,70050,171
    Jun-196,64211,7972,22365,983
    Jul-196,91212,0512,03461,158
    Aug-196,40410,4161,67681,220
    Sep-196,43511,0491,73158,159
    Oct-196,2078,9581,48651,077
    Nov-197,36611,4841,66774,941
    Dec-196,73512,6851,83188,125
      Note. BSTS, bayesian structural time series; CI, confidence interval.

    Table S4.  Projection into the next 48 months with the best BSTS model

    TimeObserved valuesForecastsLower 95% CIUpper 95% CI
    Jan-152,5972,4741,5344,413
    Feb-152,2942,5741,4364,199
    Mar-154,2384,8542,9118,455
    Apr-154,2994,1962,5927,072
    May-154,4014,6122,5808,747
    Jun-155,0895,4113,13010,218
    Jul-154,7015,8362,93011,613
    Aug-154,2684,7492,5469,391
    Sep-154,9675,1052,31511,255
    Oct-153,9554,1032,0189,834
    Nov-155,0405,0042,23410,702
    Dec-155,7075,8192,53613,160
    Jan-162,8622,7031,0676,714
    Feb-162,5822,7768937,598
    Mar-165,2555,2741,92413,781
    Apr-164,5744,2881,57510,917
    May-165,0414,9841,55412,621
    Jun-165,1595,7931,75716,881
    Jul-164,4596,4151,91021,076
    Aug-164,4695,3581,46516,956
    Sep-164,8775,6191,63417,392
    Oct-164,2444,6621,45217,245
    Nov-165,7435,6771,80419,784
    Dec-166,3356,4251,59120,543
    Jan-172,0533,01073211,769
    Feb-173,3253,05172013,038
    Mar-175,1795,8751,36422,057
    Apr-174,1405,1231,16826,849
    May-175,0255,6091,15924,855
    Jun-175,9166,6161,17732,987
    Jul-174,9506,8331,18139,226
    Aug-175,4006,1721,11540,976
    Sep-175,2836,2631,04941,277
    Oct-174,4855,24093131,314
    Nov-176,1366,39694048,099
    Dec-176,6227,2501,06050,689
    Jan-183,3093,36735724,691
    Feb-182,559360841830,930
    Mar-185,3316,74664353,437
    Apr-184,6425,93046550,670
    May-185,5936,37964853,217
    Jun-185,8097,88173757,138
    Jul-185,2898,07867778,031
    Aug-185,7507,179487111,173
    Sep-186,1557,21954080,104
    Oct-185,8236,07858460,510
    Nov-187,6227,43750382,208
    Dec-187,8978,26553371,013
    Jan-193,6883,82021152,724
    Feb-193,5874,01623668,210
    Mar-196,0867,67246083,660
    Apr-196,2776,665318101,159
    May-196,2917,481322129,623
    Jun-196,6428,742415128,950
    Jul-196,9128,871453182,465
    Aug-196,4047,825323181,758
    Sep-196,4358,215304222,292
    Oct-196,2076,633216130,049
    Nov-197,3668,190337199,002
    Dec-196,7359,085230188,134
      Note.BSTS, bayesian structural time series; CI, confidence interval.

    Table S5.  Projection into the next 60 months with the best BSTS model

    Figure S3.  Time series plot displaying the causal impacts of the COVID-19 outbreak on the decreases in AIDS cases from January–December 2020. The first panel provides the reported AIDS cases and counterfactual expected figures for the post-outbreak period. The second panel describes the pointwise causal impact that indicates the difference between reported cases and expected figures. The third panel illustrates a cumulative effect of the COVID-19 pandemic on the decreases in AIDS cases via accumulating the pointwise effects from the second panel.

    Figure S4.  Contribution of trend, seasonality, and regression (COVID-19 outbreak) components to the AIDS incidence. As depicted, the AIDS incidence has a noticeable seasonal pattern and the COVID-19 outbreak causes a remarkable decrease in AIDS cases during this period.

    Figure S5.  Time series plot showing the forecasted temporal trends of the AIDS incidence for (A) 12 holdout data, (B) 24 holdout data, (C) 36 holdout data, (D) 48 holdout data, (E) 60 holdout data, and (F) 72 holdout data under BSTS approaches. It can be seen that the BSTS approaches are able to better capture the long-term epidemiological trends of AIDS for the 60-step ahead forecast except for the 72 holdout data.

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