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Published in: BMC Infectious Diseases 1/2019

Open Access 01-12-2019 | Influenza | Research article

A maximum curvature method for estimating epidemic onset of seasonal influenza in Japan

Authors: Jun Cai, Bing Zhang, Bo Xu, Karen Kie Yan Chan, Gerardo Chowell, Huaiyu Tian, Bing Xu

Published in: BMC Infectious Diseases | Issue 1/2019

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Abstract

Background

Detecting the onset of influenza epidemic is important for epidemiological surveillance and for investigating the factors driving spatiotemporal transmission patterns. Most approaches define the epidemic onset based on thresholds, which use subjective criteria and are specific to individual surveillance systems.

Methods

We applied the empirical threshold method (ETM), together with two non-thresholding methods, including the maximum curvature method (MCM) that we proposed and the segmented regression method (SRM), to determine onsets of influenza epidemics in each prefecture of Japan, using sentinel surveillance data of influenza-like illness (ILI) from 2012/2013 through 2017/2018. Performance of the MCM and SRM was evaluated, in terms of epidemic onset, end, and duration, with those derived from the ETM using the nationwide epidemic onset indicator of 1.0 ILI case per sentinel per week.

Results

The MCM and SRM yielded complete estimates for each of Japan’s 47 prefectures. In contrast, ETM estimates for Kagoshima during 2012/2013 and for Okinawa during all six influenza seasons, except 2013/2014, were invalid. The MCM showed better agreement in all estimates with the ETM than the SRM (R2 = 0.82, p < 0.001 vs. R2 = 0.34, p < 0.001 for epidemic onset; R2 = 0.18, p < 0.001 vs. R2 = 0.05, p < 0.001 for epidemic end; R2 = 0.28, p < 0.001 vs. R2 < 0.01, p = 0.35 for epidemic duration). Prefecture-specific thresholds for epidemic onset and end were established using the MCM.

Conclusions

The Japanese national epidemic onset threshold is not applicable to all prefectures, particularly Okinawa. The MCM could be used to establish prefecture-specific epidemic thresholds that faithfully characterize influenza activity, serving as useful complements to the influenza surveillance system in Japan.
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Literature
2.
go back to reference Iuliano AD, Roguski KM, Chang HH, Muscatello DJ, Palekar R, Tempia S, et al. Estimates of global seasonal influenza-associated respiratory mortality: a modelling study. Lancet. 2018;391(10127):1285–300.PubMedCrossRef Iuliano AD, Roguski KM, Chang HH, Muscatello DJ, Palekar R, Tempia S, et al. Estimates of global seasonal influenza-associated respiratory mortality: a modelling study. Lancet. 2018;391(10127):1285–300.PubMedCrossRef
3.
4.
go back to reference Lipsitch M, Viboud C. Influenza seasonality: lifting the fog. Proc Natl Acad Sci. 2009;106(10):3645–6.PubMedCrossRef Lipsitch M, Viboud C. Influenza seasonality: lifting the fog. Proc Natl Acad Sci. 2009;106(10):3645–6.PubMedCrossRef
5.
go back to reference Tamerius J, Nelson MI, Zhou SZ, Viboud C, Miller MA, Alonso WJ. Global influenza seasonality: reconciling patterns across temperate and tropical regions. Environ Health Perspect. 2011;119(4):439.PubMedCrossRef Tamerius J, Nelson MI, Zhou SZ, Viboud C, Miller MA, Alonso WJ. Global influenza seasonality: reconciling patterns across temperate and tropical regions. Environ Health Perspect. 2011;119(4):439.PubMedCrossRef
6.
go back to reference Tay EL, Grant K, Kirk M, Mounts A, Kelly H. Exploring a proposed WHO method to determine thresholds for seasonal influenza surveillance. PLoS One. 2013;8(10):e77244.PubMedPubMedCentralCrossRef Tay EL, Grant K, Kirk M, Mounts A, Kelly H. Exploring a proposed WHO method to determine thresholds for seasonal influenza surveillance. PLoS One. 2013;8(10):e77244.PubMedPubMedCentralCrossRef
7.
go back to reference Geoghegan JL, Saavedra AF, Duchêne S, Sullivan S, Barr I, Holmes EC. Continental synchronicity of human influenza virus epidemics despite climactic variation. PLoS Pathog. 2018;14(1):e1006780.PubMedPubMedCentralCrossRef Geoghegan JL, Saavedra AF, Duchêne S, Sullivan S, Barr I, Holmes EC. Continental synchronicity of human influenza virus epidemics despite climactic variation. PLoS Pathog. 2018;14(1):e1006780.PubMedPubMedCentralCrossRef
8.
go back to reference Vega T, Lozano Jose E, Meerhoff T, Snacken R, Mott J, Ortiz de Lejarazu R, et al. Influenza surveillance in Europe: establishing epidemic thresholds by the moving epidemic method. Influenza Other Respir Viruses. 2012;7(4):546–58.PubMedPubMedCentralCrossRef Vega T, Lozano Jose E, Meerhoff T, Snacken R, Mott J, Ortiz de Lejarazu R, et al. Influenza surveillance in Europe: establishing epidemic thresholds by the moving epidemic method. Influenza Other Respir Viruses. 2012;7(4):546–58.PubMedPubMedCentralCrossRef
9.
go back to reference Centers for Disease Control and Prevention. Principles of epidemiology in public health practice: an introduction to applied epidemiology and biostatistics. Atlanta, GA: US Dept. of health and human services, Centers for Disease Control and Prevention (CDC), Office of Workforce and Career Development; 2012. Centers for Disease Control and Prevention. Principles of epidemiology in public health practice: an introduction to applied epidemiology and biostatistics. Atlanta, GA: US Dept. of health and human services, Centers for Disease Control and Prevention (CDC), Office of Workforce and Career Development; 2012.
10.
go back to reference Unkel S, Farrington CP, Garthwaite Paul H, Robertson C, Andrews N. Statistical methods for the prospective detection of infectious disease outbreaks: a review. Journal of the Royal Statistical Society: Series A (Statistics in Society). 2011;175(1):49–82.CrossRef Unkel S, Farrington CP, Garthwaite Paul H, Robertson C, Andrews N. Statistical methods for the prospective detection of infectious disease outbreaks: a review. Journal of the Royal Statistical Society: Series A (Statistics in Society). 2011;175(1):49–82.CrossRef
11.
go back to reference Watts CG, Andrews RM, Druce JD, Kelly HA. Establishing thresholds for influenza surveillance in Victoria. Aust N Z J Public Health. 2007;27(4):409–12.CrossRef Watts CG, Andrews RM, Druce JD, Kelly HA. Establishing thresholds for influenza surveillance in Victoria. Aust N Z J Public Health. 2007;27(4):409–12.CrossRef
12.
go back to reference Eggo RM, Cauchemez S, Ferguson NM. Spatial dynamics of the 1918 influenza pandemic in England. Wales and the United States Journal of the Royal Society Interface. 2010. Eggo RM, Cauchemez S, Ferguson NM. Spatial dynamics of the 1918 influenza pandemic in England. Wales and the United States Journal of the Royal Society Interface. 2010.
13.
go back to reference Cowling BJ, Wong IOL, Ho L-M, Riley S, Leung GM. Methods for monitoring influenza surveillance data. Int J Epidemiol. 2006;35(5):1314–21.PubMedCrossRef Cowling BJ, Wong IOL, Ho L-M, Riley S, Leung GM. Methods for monitoring influenza surveillance data. Int J Epidemiol. 2006;35(5):1314–21.PubMedCrossRef
14.
go back to reference Yang P, Duan W, Lv M, Shi W, Peng X, Wang X, et al. Review of an influenza surveillance system, Beijing, People's Republic of China. Emerging Infectious Disease. 2009;15(10):1603.CrossRef Yang P, Duan W, Lv M, Shi W, Peng X, Wang X, et al. Review of an influenza surveillance system, Beijing, People's Republic of China. Emerging Infectious Disease. 2009;15(10):1603.CrossRef
16.
go back to reference Baumeister E, Duque J, Varela T, Palekar R, Couto P, Savy V, et al. Timing of respiratory syncytial virus and influenza epidemic activity in five regions of Argentina, 2007-2016. Influenza Other Respir Viruses. 2018;0(0):1–8. Baumeister E, Duque J, Varela T, Palekar R, Couto P, Savy V, et al. Timing of respiratory syncytial virus and influenza epidemic activity in five regions of Argentina, 2007-2016. Influenza Other Respir Viruses. 2018;0(0):1–8.
17.
go back to reference Azziz Baumgartner E, Dao CN, Nasreen S, Bhuiyan MU, Mah-E-Muneer S, Mamun AA, et al. Seasonality, timing, and climate drivers of influenza activity worldwide. J Infect Dis. 2012;206(6):838–46.PubMedCrossRef Azziz Baumgartner E, Dao CN, Nasreen S, Bhuiyan MU, Mah-E-Muneer S, Mamun AA, et al. Seasonality, timing, and climate drivers of influenza activity worldwide. J Infect Dis. 2012;206(6):838–46.PubMedCrossRef
18.
go back to reference Ly S, Arashiro T, Ieng V, Tsuyuoka R, Parry A, Horwood P, et al. Establishing seasonal and alert influenza thresholds in Cambodia using the WHO method: implications for effective utilization of influenza surveillance in the tropics and subtropics. Western Pacific Surveillance and Response Journal : WPSAR. 2017;8(1):22–32.PubMedCrossRef Ly S, Arashiro T, Ieng V, Tsuyuoka R, Parry A, Horwood P, et al. Establishing seasonal and alert influenza thresholds in Cambodia using the WHO method: implications for effective utilization of influenza surveillance in the tropics and subtropics. Western Pacific Surveillance and Response Journal : WPSAR. 2017;8(1):22–32.PubMedCrossRef
19.
go back to reference World Health Organization. WHO global epidemiological surveillance standards for influenza. Geneva: World Health Organization; 2014. 84 p World Health Organization. WHO global epidemiological surveillance standards for influenza. Geneva: World Health Organization; 2014. 84 p
21.
go back to reference Gog JR, Ballesteros S, Viboud C, Simonsen L, Bjornstad ON, Shaman J, et al. Spatial transmission of 2009 pandemic influenza in the US. PLoS Comput Biol. 2014;10(6):e1003635.PubMedPubMedCentralCrossRef Gog JR, Ballesteros S, Viboud C, Simonsen L, Bjornstad ON, Shaman J, et al. Spatial transmission of 2009 pandemic influenza in the US. PLoS Comput Biol. 2014;10(6):e1003635.PubMedPubMedCentralCrossRef
22.
go back to reference Costagliola D, Flahault A, Galinec D, Garnerin P, Menares J. Valleron AJ. A routine tool for detection and assessment of epidemics of influenza-like syndromes in France. Am J Public Health. 1991;81(1):97–9.PubMedPubMedCentralCrossRef Costagliola D, Flahault A, Galinec D, Garnerin P, Menares J. Valleron AJ. A routine tool for detection and assessment of epidemics of influenza-like syndromes in France. Am J Public Health. 1991;81(1):97–9.PubMedPubMedCentralCrossRef
23.
go back to reference Olson DR, Konty KJ, Paladini M, Viboud C, Simonsen L. Reassessing Google flu trends data for detection of seasonal and pandemic influenza: a comparative epidemiological study at three geographic scales. PLoS Comput Biol. 2013;9(10):e1003256.PubMedPubMedCentralCrossRef Olson DR, Konty KJ, Paladini M, Viboud C, Simonsen L. Reassessing Google flu trends data for detection of seasonal and pandemic influenza: a comparative epidemiological study at three geographic scales. PLoS Comput Biol. 2013;9(10):e1003256.PubMedPubMedCentralCrossRef
24.
go back to reference Wang X, Wu S, MacIntyre CR, Zhang H, Shi W, Peng X, et al. Using an adjusted Serfling regression model to improve the early warning at the arrival of peak timing of influenza in Beijing. PLoS One. 2015;10(3):e0119923.PubMedPubMedCentralCrossRef Wang X, Wu S, MacIntyre CR, Zhang H, Shi W, Peng X, et al. Using an adjusted Serfling regression model to improve the early warning at the arrival of peak timing of influenza in Beijing. PLoS One. 2015;10(3):e0119923.PubMedPubMedCentralCrossRef
25.
go back to reference Yu H, Alonso WJ, Feng L, Tan Y, Shu Y, Yang W, et al. Characterization of regional influenza seasonality patterns in China and implications for vaccination strategies: spatio-temporal modeling of surveillance data. PLoS Med. 2013;10(11):e1001552.PubMedPubMedCentralCrossRef Yu H, Alonso WJ, Feng L, Tan Y, Shu Y, Yang W, et al. Characterization of regional influenza seasonality patterns in China and implications for vaccination strategies: spatio-temporal modeling of surveillance data. PLoS Med. 2013;10(11):e1001552.PubMedPubMedCentralCrossRef
27.
go back to reference Liu X-X, Li Y, Zhu Y, Zhang J, Li X, Zhang J, et al. Seasonal pattern of influenza activity in a subtropical city, China, 2010–2015. Sci Rep. 2017;7(1):17534.PubMedPubMedCentralCrossRef Liu X-X, Li Y, Zhu Y, Zhang J, Li X, Zhang J, et al. Seasonal pattern of influenza activity in a subtropical city, China, 2010–2015. Sci Rep. 2017;7(1):17534.PubMedPubMedCentralCrossRef
28.
go back to reference Amorós R, Conesa D, Martinez-Beneito MA, López-Quılez A. Statistical methods for detecting the onset of influenza outbreaks: a review. REVSTAT–statistical. Journal. 2015;13(1):41–62. Amorós R, Conesa D, Martinez-Beneito MA, López-Quılez A. Statistical methods for detecting the onset of influenza outbreaks: a review. REVSTAT–statistical. Journal. 2015;13(1):41–62.
29.
go back to reference Nobre FF. Stroup DF. A monitoring system to detect changes in public health surveillance data. Int J Epidemiol. 1994;23(2):408–18.PubMedCrossRef Nobre FF. Stroup DF. A monitoring system to detect changes in public health surveillance data. Int J Epidemiol. 1994;23(2):408–18.PubMedCrossRef
30.
go back to reference Cheng X, Chen T, Yang Y, Yang J, Wang D, Hu G, et al. Using an innovative method to develop the threshold of seasonal influenza epidemic in China. PLoS One. 2018;13(8):e0202880.PubMedPubMedCentralCrossRef Cheng X, Chen T, Yang Y, Yang J, Wang D, Hu G, et al. Using an innovative method to develop the threshold of seasonal influenza epidemic in China. PLoS One. 2018;13(8):e0202880.PubMedPubMedCentralCrossRef
31.
go back to reference Charu V, Zeger S, Gog J, Bjørnstad ON, Kissler S, Simonsen L, et al. Human mobility and the spatial transmission of influenza in the United States. PLoS Comput Biol. 2017;13(2):e1005382.PubMedPubMedCentralCrossRef Charu V, Zeger S, Gog J, Bjørnstad ON, Kissler S, Simonsen L, et al. Human mobility and the spatial transmission of influenza in the United States. PLoS Comput Biol. 2017;13(2):e1005382.PubMedPubMedCentralCrossRef
32.
go back to reference Ministry of Health, Labour and Welfare. National Institute of Infectious Diseases. Influenza, 2000/01 season. Japan. Infectious Agents Surveillance Report (IASR). 2001;22(12):309–10. Ministry of Health, Labour and Welfare. National Institute of Infectious Diseases. Influenza, 2000/01 season. Japan. Infectious Agents Surveillance Report (IASR). 2001;22(12):309–10.
33.
go back to reference Ministry of Health, Labour and Welfare. National Institute of Infectious Diseases. Influenza in 2001/02 season. Japan. Infectious Agents Surveillance Report (IASR). 2002;23(12):307–8. Ministry of Health, Labour and Welfare. National Institute of Infectious Diseases. Influenza in 2001/02 season. Japan. Infectious Agents Surveillance Report (IASR). 2002;23(12):307–8.
34.
go back to reference Gu Y, Shimada T, Yasui Y, Tada Y, Kaku M, Okabe N. National surveillance of influenza-associated encephalopathy in Japan over six years, before and during the 2009–2010 influenza pandemic. PLoS One. 2013;8(1):e54786.PubMedPubMedCentralCrossRef Gu Y, Shimada T, Yasui Y, Tada Y, Kaku M, Okabe N. National surveillance of influenza-associated encephalopathy in Japan over six years, before and during the 2009–2010 influenza pandemic. PLoS One. 2013;8(1):e54786.PubMedPubMedCentralCrossRef
35.
go back to reference Hashimoto S, Murakami Y, Taniguchi K, Nagai M. Detection of epidemics in their early stage through infectious disease surveillance. Int J Epidemiol. 2000;29(5):905–10.PubMedCrossRef Hashimoto S, Murakami Y, Taniguchi K, Nagai M. Detection of epidemics in their early stage through infectious disease surveillance. Int J Epidemiol. 2000;29(5):905–10.PubMedCrossRef
37.
40.
go back to reference Shoji M, Katayama K, Sano K. Absolute humidity as a deterministic factor affecting seasonal influenza epidemics in Japan. Tohoku J Exp Med. 2011;224(4):251–6.PubMedCrossRef Shoji M, Katayama K, Sano K. Absolute humidity as a deterministic factor affecting seasonal influenza epidemics in Japan. Tohoku J Exp Med. 2011;224(4):251–6.PubMedCrossRef
41.
go back to reference Muggeo VMR. Segmented: an R package to fit regression models with broken-line relationships. R news. 2008;8(1):20–5. Muggeo VMR. Segmented: an R package to fit regression models with broken-line relationships. R news. 2008;8(1):20–5.
42.
go back to reference Pratt V. Direct least-squares fitting of algebraic surfaces. ACM SIGGRAPH Computer Graphics; 1987: ACM. Pratt V. Direct least-squares fitting of algebraic surfaces. ACM SIGGRAPH Computer Graphics; 1987: ACM.
43.
go back to reference R Core Team. R: a language and environment for statistical computing. Vienna, Austria: R Foundation for Statistical Computing; 2017. R Core Team. R: a language and environment for statistical computing. Vienna, Austria: R Foundation for Statistical Computing; 2017.
44.
45.
go back to reference Ministry of Health, Labour and Welfare. National Institute of Infectious Diseases. 2012/13 influenza season. Japan. Infectious Agents Surveillance Report (IASR). 2013;34(11):325–7. Ministry of Health, Labour and Welfare. National Institute of Infectious Diseases. 2012/13 influenza season. Japan. Infectious Agents Surveillance Report (IASR). 2013;34(11):325–7.
46.
go back to reference Ministry of Health, Labour and Welfare. National Institute of Infectious Diseases. 2013/14 influenza season. Japan. Infectious Agents Surveillance Report (IASR). 2014;35(11):251–3. Ministry of Health, Labour and Welfare. National Institute of Infectious Diseases. 2013/14 influenza season. Japan. Infectious Agents Surveillance Report (IASR). 2014;35(11):251–3.
47.
go back to reference Ministry of Health, Labour and Welfare. National Institute of Infectious Diseases. Influenza 2014/15 season. Japan Infectious Agents Surveillance Report (IASR). 2015;36(11):199–201. Ministry of Health, Labour and Welfare. National Institute of Infectious Diseases. Influenza 2014/15 season. Japan Infectious Agents Surveillance Report (IASR). 2015;36(11):199–201.
48.
go back to reference Ministry of Health, Labour and Welfare. National Institute of Infectious Diseases. Influenza 2015/16 season. Japan. Infectious Agents Surveillance Report (IASR). 2016;37(11):211–2. Ministry of Health, Labour and Welfare. National Institute of Infectious Diseases. Influenza 2015/16 season. Japan. Infectious Agents Surveillance Report (IASR). 2016;37(11):211–2.
49.
go back to reference Ministry of Health, Labour and Welfare. National Institute of Infectious Diseases. Influenza 2016/17 season. Japan. Infectious Agents Surveillance Report (IASR). 2017;38(11):209–11. Ministry of Health, Labour and Welfare. National Institute of Infectious Diseases. Influenza 2016/17 season. Japan. Infectious Agents Surveillance Report (IASR). 2017;38(11):209–11.
50.
go back to reference Ministry of Health, Labour and Welfare. National Institute of Infectious Diseases. Influenza 2017/18 season. Japan. Infectious Agents Surveillance Report (IASR). 2018;39(11):181–3. Ministry of Health, Labour and Welfare. National Institute of Infectious Diseases. Influenza 2017/18 season. Japan. Infectious Agents Surveillance Report (IASR). 2018;39(11):181–3.
52.
go back to reference Greene SK, Ionides EL, Wilson ML. Patterns of influenza-associated mortality among US elderly by geographic region and virus subtype, 1968–1998. Am J Epidemiol. 2006;163(4):316–26.PubMedCrossRef Greene SK, Ionides EL, Wilson ML. Patterns of influenza-associated mortality among US elderly by geographic region and virus subtype, 1968–1998. Am J Epidemiol. 2006;163(4):316–26.PubMedCrossRef
53.
go back to reference Yu H, Cauchemez S, Donnelly CA, Zhou L, Feng L, Xiang N, et al. Transmission dynamics, border entry screening, and school holidays during the 2009 influenza a (H1N1) pandemic, China. Emerging Infectious Disease. 2012;18(5):758.CrossRef Yu H, Cauchemez S, Donnelly CA, Zhou L, Feng L, Xiang N, et al. Transmission dynamics, border entry screening, and school holidays during the 2009 influenza a (H1N1) pandemic, China. Emerging Infectious Disease. 2012;18(5):758.CrossRef
54.
go back to reference Savitzky A, Golay MJE. Smoothing and differentiation of data by simplified least squares procedures. Anal Chem. 1964;36(8):1627–39.CrossRef Savitzky A, Golay MJE. Smoothing and differentiation of data by simplified least squares procedures. Anal Chem. 1964;36(8):1627–39.CrossRef
Metadata
Title
A maximum curvature method for estimating epidemic onset of seasonal influenza in Japan
Authors
Jun Cai
Bing Zhang
Bo Xu
Karen Kie Yan Chan
Gerardo Chowell
Huaiyu Tian
Bing Xu
Publication date
01-12-2019
Publisher
BioMed Central
Keyword
Influenza
Published in
BMC Infectious Diseases / Issue 1/2019
Electronic ISSN: 1471-2334
DOI
https://doi.org/10.1186/s12879-019-3777-x

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