TEMPORAL PATTERNS AND A DISEASE FORECASTING MODEL OF DENGUE HEMORRHAGIC FEVER IN JAKARTA BASED ON 10 YEARS OF SURVEILLANCE DATA
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Southeast Asian J Trop Med Public Health TEMPORAL PATTERNS AND A DISEASE FORECASTING MODEL OF DENGUE HEMORRHAGIC FEVER IN JAKARTA BASED ON 10 YEARS OF SURVEILLANCE DATA Monika S Sitepu1,2, Jaranit Kaewkungwal2,5, Nathanej Luplerdlop2, Ngamphol Soonthornworasiri2, Tassanee Silawan3, Supawadee Poungsombat4 and Saranath Lawpoolsri2,5 Directorate General of Health Care, Ministry of Health, Jakarta, Indonesia; 1 Department of Tropical Hygiene, Faculty of Tropical Medicine, Mahidol University, 2 Bangkok; 3Faculty of Public Health, Mahidol University, Bangkok; 4Bureau of Vector-Borne Disease, Ministry of Public Health, Nonthaburi; 5Center for Emerging and Neglected Infectious Diseases, Mahidol University, Thailand Abstract. This study aimed to describe the temporal patterns of dengue trans- mission in Jakarta from 2001 to 2010, using data from the national surveillance system. The Box-Jenkins forecasting technique was used to develop a seasonal autoregressive integrated moving average (SARIMA) model for the study period and subsequently applied to forecast DHF incidence in 2011 in Jakarta Utara, Jakarta Pusat, Jakarta Barat, and the municipalities of Jakarta Province. Dengue incidence in 2011, based on the forecasting model was predicted to increase from the previous year. Keywords: dengue hemorrhagic fever, time series analysis, seasonal autoregres- sive integrated moving average, forecasting INTRODUCTION infections are reported annually from 100 countries worldwide (WHO, 2011). Two Dengue infection is a major public hundred thousand to five hundred thou- health problem worldwide with a rapidly sand cases of dengue hemorrhagic fever increased incidence and spread during the (DHF) are reported annually worldwide past five decades (WHO, 2009). Tropical with 24,000 deaths occurring (Monath, countries are most afflicted by the trans- 1994; Gubler, 1998; Gibbons and Vaughn, mission of this virus which threatens over 2002). DHF has been reported to be the 2.5 billion people who live in the tropics leading cause of hospitalizations and (Gubler, 1998). Fifty to 100 million dengue death among children in several countries in Southeast Asia, including Indonesia Correspondence: Dr Saranath Lawpoolsri, (WHO SEARO, 1999). Department of Tropical Hygiene, Faculty of Tropical Medicine, Mahidol University, 420/6 The first reported outbreak of dengue Rachavithi Road, Bangkok 10400, Thailand. fever in Indonesia occurred in Jakarta Tel: 66 (0) 2354 9100 and Surabaya in 1968. Since 2005, Indo- E-mail: saranath.law@mahidol.ac.th nesia has reported the highest number 206 Vol 44 No. 2 March 2013
Temporal Patterns of Dengue Transmission in Jakarta of dengue cases in Southeast Asia (WHO lance data to understand and forecast SEARO, 2006). In 2009, the Ministry of patterns of dengue occurrence in Jakarta, Health of Indonesia reported that the Indonesia. number of DHF cases reached 156,052 in 382 districts. A National Health Survey in MATERIALS AND METHODS 2007 found DHF was the fourth leading cause of death and second leading cause Study area of hospitalization among toddlers in In- The Jakarta Province is located at donesia (MOH, 2010). 6º12’S and 106º48’E. It covers 662.33 km2 Jakarta Province has the highest inci- of land area and 6,977.5 km2 of sea (Gover- dence of DHF among all the provinces in nor Decree, 2007). This province is divided Indonesia (MOH, 2010). All municipalities into five municipalities (Jakarta Barat, Ja- in this province are endemic for dengue karta Timur, Jakarta Pusat, Jakarta Selatan, transmission with all serotypes circulating and Jakarta Utara), occupying lowland (Suwandono et al, 2006). Moreover, the areas, and a regency (Kepulauan Seribu) Jakarta Provincial Health Office reported consists of 110 small islands in the Sea of that DHF has the highest IR (200,8/100,000 Java (Governor Decree, 2007). In the 2010 population) of all communicable diseases census, the total population of Jakarta was in 2010. 9,607,787 with a density of 14,476 people/ km2 (BPS-Statistics Indonesia, 2010). Being Prevention and control measures for a tropical area, the climate in Jakarta tends DF/DHF in Jakarta are based on national to be hot and humid throughout the year. policies, which include improvement of However, this province has distinct wet the surveillance system, disease man- and dry seasons. Rainfall increases during agement and community participation the wet season from December to March (Kusriastuti and Sutomo, 2005). Under- and decreases significantly during the dry standing patterns of disease transmission season from June to September. can significantly improve outbreak control (Allard, 1998). Since dengue transmission in the small islands (Kepulauan Seribu Regency) Time series analysis has been used is reported to be low (Jakarta Provincial successfully in various studies of com- Health Office, 2010, Unpublished data), municable diseases to determine temporal this study was conducted in the five in- patterns and forecast disease occurrence land municipalities: Jakarta Barat, Jakarta (Helfenstein, 1986; Luz et al, 2008; Sila- Timur, Jakarta Pusat, Jakarta Selatan, and wan et al, 2008; Wangdi et al, 2010). This Jakarta Utara (Fig 1). All municipali- technique is considered a useful tool ties are urban and endemic for dengue for understanding the structure of data, (Jakarta Provincial Health Office, 2010, forecasting, monitoring and providing Unpublished data). feedback regarding control activity (Box et al, 1994). Time series analysis can be Data collection practically applied to routinely collected Dengue is a notifiable disease in In- data (longitudinal data) in disease sur- donesia, hence, all dengue cases at health veillance systems. The objective of this centers, hospitals, clinics, and private phy- study was to demonstrate the use of time sician’s offices are required to report im- series analysis of routine dengue surveil- mediately to the Jakarta Province Health Vol 44 No. 2 March 2013 207
Southeast Asian J Trop Med Public Health Active surveillance is periodi- cally performed as a part of the dengue surveillance sys- tem. However, due to limited resources, epidemiological in- vestigations can not be done for all reported cases. Hence, data obtained from passive surveillance comprises the majority of data. This study used DHF and DSS passive surveillance data collected between January 2001 and December 2010 from the Jakarta Province Health Office. The case definition for DHF/DSS was based on WHO criteria for DHF/DSS, which includes fever, hemorrhagic tendencies, thrombocytope- nia, and evidence of plasma leakage due to increased vascular permeability (WHO, 1997). In this study, the term DHF refers to both DHF and DSS. Monthly data sets from Fig 1–Map of Jakarta Province. 2001 to 2010 for each munici- pality and all municipalities Office. Almost all reported dengue cases were used. The ten-year observations are based on clinical diagnosis. Dengue were divided into two segments: the fever tends to be underreported because it first was the estimation segment, where is difficult to differentiate from viral infec- the monthly incidence data from 2001 to tions without laboratory confirmation. It 2008 were analyzed to determine the best is assumed dengue cases reported at the time-series model and the second was the provincial level to the Ministry of Health 2009 to 2010 data served as the validation (MOH) may or may not be dengue fever segment to confirm the time series model. (DF), dengue hemorrhagic fever (DHF) or Data analysis dengue shock syndrome (DSS). Once the The monthly incidence of DHF over Jakarta Province Health Office receives a the 10-year period was plotted to observe case report, they notify the primary health the temporal patterns of DHF transmis- center in the area where the case occurred sion in Jakarta. A seasonal boxplot was to conduct an epidemiological investiga- created for each municipality to identify tion and apply dengue control measures. the seasonal pattern and its outliers for 208 Vol 44 No. 2 March 2013
Temporal Patterns of Dengue Transmission in Jakarta DHF transmission during the 10-year Table 1 period. Trend analysis using Poisson Descriptive statistics for annual DHF regression was performed to determine incidence in the study areas during the annual trend for DHF incidence in 2001-2010. five municipalities and for overall Jakarta, DHF incidence when seasonal effects were not taken into per 100,000 population account. Municipality Median Minimum Maximum Time series analysis was chosen based on the assumption the incidence of infec- Jakarta Utara 253 46 379 tious diseases is related to the previous Jakarta Pusat 351 88 433 incidence and population at risk (Helfen- Jakarta Barat 171 58 224 stein, 1986). Using to the data of monthly Jakarta Selatan 293 70 450 DHF incidence, a Seasonal Autoregressive Jakarta Timur 310 78 398 Integrated Moving Average (SARIMA) model was chosen to fit the data. Station- arity of the data were initially assessed. A Schwartz’s Bayesian Information Crite- Box-Cox transformation procedure was rion (BIC) were performed. The model used to stabilize the variance, while dif- with the lowest BIC and AIC was chosen ferencing and seasonal differencing were as the best-fitting model. used to stabilize the mean and remove An out-of-sample forecast was used seasonal autocorrelation, respectively. The to forecast the incidence from January SARIMA (p,d,q,)(P,D,Q)s model was gen- 2009 to December 2010. The accuracy of erated using the Box-Jenkins approach. forecasting was determined by compar- The autocorrelation function (ACF) ing the actual with the forecasted DHF and the partial autocorrelation function incidence using the Mean Absolute Per- (PACF) were analyzed to identify the centage Error (MAPE) and Mean Absolute order of SARIMA (p,d,q)(P,D,Q)s model, Error (MAE). where: (1) p and P are the order for autore- The data used in this study was ob- gressive (AR) and seasonal autoregres- tained from the Jakarta Health Office. All sive, respectively; (2) d and D are the order data were collected anonymously. The for differences and seasonal differences, study received ethical approval from the respectively; (3) q and Q are the order for Committee on Health Research Ethics, moving average (MA) and seasonal mov- the National Institute of Health Research ing average, respectively, and (4) s is the and Development, the Ministry of Health, length of the seasonal period. Republic of Indonesia and the Ethics Tentative models were then estimated Committee, Faculty of Tropical Medicine, using the maximum likelihood method. Mahidol University, Thailand. The significance of the estimated param- eters was derived and considered if the RESULTS p-value was less than 0.05. The Ljung-Box was performed to determine the adequacy Temporal distribution of the tentative model. An adequate model The overall incidence of DHF sug- was chosen if the residuals of ACF were gests high endemicity in all municipalities statistically equal to zero or white noise. of Jakarta Province. Table 1 summarizes Akaike’s Information Criterion (AIC) and the annual incidence for each endemic Vol 44 No. 2 March 2013 209
Southeast Asian J Trop Med Public Health Table 2 Incidence rate ratio of annual DHF incidence and percent increase in the annual DHF incidence over time (2001 to 2010), by municipality and overall Jakarta Province. Municipality Incidence rate ratio 95% confidence Percent increase in the interval incidence (per year) Jakarta Utara 1.17 1.15 - 1.18 17 Jakarta Pusat 1.13 1.11 - 1.14 13 Jakarta Barat 1.10 1.08 - 1.12 10 Jakarta Selatan 1.13 1.12 - 1.15 13 Jakarta Timur 1.12 1.10 - 1.13 12 Jakarta Province 1.13 1.11 - 1.14 13 municipalities (Fig 2). 120 DHF cases were found Incidence per 100,000 population 100 year long with varying 80 intensity from month 60 to month. The inci- 40 dence of DHF usually increased in January with a peak around 20 0 01 01 02 l 02 03 l 03 04 l 04 05 l 05 06 l 06 07 l 07 08 l 08 09 l 09 10 l 10 March or April, and then a gradual decrease n ul n Ju an Ju an Ju an Ju n Ju an Ju n Ju an Ju an Ju Ja J Ja J J J Ja J Ja J J Time (monthly) until the end of the Incidence in municipalities Incidence in Jakarta Province year. The epidemic cy- Fig 2–Monthly DHF incidence in five endemic municipalities (thin line) cle was unclear during and Jakarta Province (thick line), 2001-2010. the 10-year period. The highest peak was ob- municipality during the past decade. served in 2004, suggesting an epidemic, Jakarta Pusat and Jakarta Timur both after which the seasonal wave widened had a median incidence of more than 300 during the past five years with a slight per 100,000 during this period, while the increase in baseline incidence. In 2005 median incidence was lowest in Jakarta and 2006, a high DHF incidence was ob- Barat (171 per 100,000 population). served throughout the year, almost free The trend of the annual DHF inci- of seasonality. dence was increased significantly during The presence of seasonal patterns is the study period. Trend analysis shows illustrated on Fig 3. During the past ten the overall incidence of DHF in Jakarta years, the transmission tended to start in increased by approximately 13% yearly. December. A high monthly incidence was The greatest increase was seen in Jakarta usually seen between January and June, Utara with a 17% increase in incidence per when peak incidences were observed year (IRR 1.17) (Table 2). from March to April with a gradual de- The monthly incidence of DHF had crease during the following months. The a similar seasonal pattern for each of the incidence during the high season months 210 Vol 44 No. 2 March 2013
Temporal Patterns of Dengue Transmission in Jakarta 100 Incidence per 100,000 population Incidence per 100,000 population 60 80 60 40 40 20 20 0 0 Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec Month of the year Month of the year 80 80 Incidence per 100,000 population Incidence per 100,000 population 60 60 40 40 20 20 0 0 Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec Month of the year Month of the year 120 120 Incidence per 100,000 population Incidence per 100,000 population 100 100 80 80 60 60 40 40 20 20 0 0 Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec Month of the year Month of the year Fig 3–Seasonal boxplot for monthly incidence in five endemic municipalities and Jakarta Province. Dot represents outliers of incidence for particular years. Vol 44 No. 2 March 2013 211
Southeast Asian J Trop Med Public Health Jakarta Province areas in February and Incidence per 100,000 population 100 90 80 R2 = 74.99% MAPE : 18.33% March 2004 indicating the outbreaks occurred MAE : 4.73 70 in 2004. 60 50 Jakarta Selatan had 40 30 20 10 outliers in March 2007 0 without upper whiskers, 01 l 01 02 l 02 03 l 03 04 l 04 05 l 05 06 06 07 l 07 08 l 08 09 l 09 10 l 10 Ja n Ju Jan Ju Jan Ju Jan Ju Jan Ju Ja n Jul an J Ju Jan Ju Jan Ju Jan Ju suggesting the outbreak Time (month-year) was characterized by a rapid increase in inci- Actual incidence Predicted incidence Forecasted incidence dence in March compared Jakarta Utara to the same month in other years. Outliers were Incidence per 100,000 population MAPE : 28.99% 80 MAE : 6.4 also seen during the low 70 R2 = 72.19% 60 50 season in most study ar- 40 eas and in the overall Jakarta Province, except 30 20 10 in Jakarta Utara. These 0 01 l 01 02 l 02 03 l 03 04 l 04 05 l 05 06 06 07 l 07 08 l 08 09 l 09 10 l 10 outliers were observed between September and n Ju Jan Ju Jan Ju Jan Ju Jan Ju n Jul an Ju Jan Ju Jan Ju Jan Ju Ja Ja J December in both 2005 Time (month-year) Actual incidence Predicted incidence Forecasted incidence and 2010, which suggests sustained high transmis- sion during both those Jakarta Pusat years. Incidence per 100,000 population 120 100 R2 = 70.97% MAPE : 22.99% MAE : 6.85 Time series analysis 80 The best fitting model was obtained after estima- 60 tion, diagnostic checking, 40 and model selection for 20 the individual and overall 0 01 l 01 02 l 02 03 l 03 04 l 04 05 l 05 06 06 07 l 07 08 l 08 09 l 09 10 l 10 n Ju Jan Ju Jan Ju Jan Ju Jan Ju n Jul an Ju Jan Ju Jan Ju Jan municipalities. The struc- Ja Ja J Ju Time (month-year) Actual incidence Predicted incidence Forecasted incidence ture of the best model for each municipality and Fig 4–Plot series for monthly incidence of DHF in Jakarta Province overall for Jakarta Prov- and five endemic municipalities: actual incidence (grey line), ince is shown in Table 3. predicted incidence from the seasonal ARIMA model (dash A c c o rd i n g t o t h e line), and forecasted incidence (black line). model selection, most of the selected Box-Jenkins was widely distributed compared to low models are SARIMA (1,0,1)(0,1,1) 12 , season months, which indicates more except for Jakarta Selatan and Jakarta inter-annual fluctuations in transmission Timur which are SARIMA (0,0,2)(0,1,1)12 during the high season months. and SARIMA (2,0,0)(0,1,1)12, respectively. Outliers of DHF were seen in all study The most commonly identified model, 212 Vol 44 No. 2 March 2013
Temporal Patterns of Dengue Transmission in Jakarta in Jakarta Selatan only the Incidence per 100,000 population Jakarta Barat 70 60 R2 = 75.62% MAPE : 22.59% random shock for the pre- vious two months and the MAE : 3.49 50 seasonal trend should be 40 considered when predict- 30 20 10 ing the current incidence 0 01 l 01 02 l 02 03 l 03 04 l 04 05 l 05 06 06 07 l 07 08 l 08 09 l 09 10 l 10 but in Jakarta Timur, the in- Ja n Ju Jan Ju Jan Ju Jan Ju Jan Ju Ja n Jul an J Ju Jan Ju Jan Ju Jan Ju cidence in the previous two months and the seasonal Time (month-year) Actual incidence Predicted incidence Forecasted incidence trend during the previous year influence the predic- tion of the current value. Forecasting Jakarta Selatan Incidence per 100,000 population 80 70 The best models were R2 = 73.55% MAPE : 20.57% 60 MAE : 5.13 50 fitted to a validation seg- ment for the period of 40 30 20 January 2009 to December 10 2010. Fig 4 shows the ac- tual and predicted monthly 0 01 l 01 02 l 02 03 l 03 04 l 04 05 l 05 06 06 07 l 07 08 l 08 09 l 09 10 l 10 n Ju Jan Ju Jan Ju Jan Ju Jan Ju n Jul an Ju Jan Ju Jan Ju Jan incidences in the five mu- Ja Ja J Ju Time (month-year) Actual incidence Predicted incidence Forecasted incidence nicipalities and for Jakarta Province. The actual line was close to the predicted line and followed the ac- tual pattern with a R2 from Incidence per 100,000 population Jakarta Timur 140 120 R2 = 72.66% MAPE : 24.26% 70.97% to 75.62%, which suggests the model may MAE : 7.12 100 be used for disease fore- 80 casting. 60 40 20 The forecasting accu- 0 01 01 02 02 03 03 04 04 05 05 racy 06 is given by the Mean 06 07 07 08 08 09 09 10 10 n Jul an l l l l n Jul an l l l l Ja J Ju Jan Ju Jan Ju Jan Ju Ja Time (month-year) J Ju Jan Ju Jan Ju Jan Ju Absolute Percentage Error Actual incidence Predicted incidence Forecasted incidence (MAPE) and Mean Ab- solute Error (MAE). The Fig 4–(Continued). MAPE for each municipal- ity and Jakarta Province SARIMA (1,0,1)(0,1,1) 12 , indicates the ranged from 18.33% to 28.99% and the current incidence can be estimated by MAE ranged from 3.49 to 7.12. The MAPE the incidence and random shock (error) and MAE suggest the fitted model is ap- for the previous month, and the seasonal propriate for forecasting. trend for the previous year. The best mod- els for Jakarta Selatan and Jakarta Timur DISCUSSION municipalities were ARIMA (0,0,2)(0,1,1)12 and (2,0,0)(0,1,1)12, respectively. Therefore, In addition to data collection, data Vol 44 No. 2 March 2013 213
Southeast Asian J Trop Med Public Health Table 3 Model, parameter estimation, and model selection diagnostics without constants. Municipality SARIMA modela Parameter estimatesb p-value ± standard errors (Ljung-Box test) Jakarta Utara (1,0,1)(0,1,1)12 AR(1) : 0.703 ± 0.055 0.986 MA(1) : 0.418 ± 0.119 SMA(1) : -0.712 ± 0.172 Jakarta Pusat (1,0,1)(0,1,1)12 AR(1) : 0.593 ± 0.066 0.688 MA(1) : 0.470 ± 0.096 SMA(1) : -0.752 ± 0.197 Jakarta Barat (1,0,1)(0,1,1)12c AR(1) : 0.737 ± 0.068 0.819 MA(1) : 0.316 ± 0.117 SMA(1) : -0.775 ± 0.225 Jakarta Selatan (0,0,2)(0,1,1)12 MA(1) : 1.156 ± 0.110 0.451 MA(2) : 0.530 ± 0.126 SMA(1) : -0.576 ± 0.149 Jakarta Timur (2,0,0)(0,1,1)12 AR(1) : 1.074 ± 0.149 0.857 AR(2) : -0.347 ± 0.14 SMA(1) : -0.827 ± 0.226 Jakarta Province (1,0,1)(0,1,1)12 AR(1) : 0.664 ± 0.062 0.917 MA(1) : 0.534 ± 0.082 SMA(1) : -0.813 ± 0.257 a Seasonal ARIMA model fitted to the square root monthly incidence. b Parameter estimates, p < 0.05. c Seasonal ARIMA model fitted to natural log monthly incidence. analysis to describe and predict disease after 2006, which is consistent with the is an important component of the sur- country-wide transmission pattern (Setiati veillance system. Longitudinal data is et al, 2006). Climatic and socio-ecological useful for understanding the temporal conditions in Jakarta may have contribut- pattern of disease transmission. DHF in ed to the persistently high transmission in Jakarta fluctuated but remained at a high this province. Trend analysis showed DHF level over the past decade. The seasonal incidence in Jakarta Province increased pattern of DHF incidence was observed by about 13% per year. Without addi- over the past decade. Even though DHF tional control efforts, DHF incidence may cases were seen all year long, transmission further increase at a similar rate. High increased significantly during the rainy temperature and humidity throughout season and reached a peak during March the year makes virus transmission more and April. An increase in rainfall led to an efficient by increasing the lifespan of adult increase in DF/DHF incidence in one to mosquitoes, increasing biting activity and two months later. This is probably due to shortening the extrinsic incubation and the increasing in breeding sites during the gonadotrophic periods (Halstead, 2007). rainy season (Arcari et al, 2007). A cyclical Socio-economic changes, such as popula- pattern was not clearly seen, particularly tion growth, unplanned urbanization and 214 Vol 44 No. 2 March 2013
Temporal Patterns of Dengue Transmission in Jakarta modern transportation in Jakarta may at different health centers and hospitals. play a role in the persistence of dengue This may lead to misclassification bias, transmission (Gubler, 2002). Circulation of where non-DHF cases are included in the multiple dengue virus serotypes in Jakarta DHF database. However, the number of may have contributed to the increase pre- DF cases is expected to be relatively small existing immunity in the susceptible host, compared to the number of DHF cases, which is a risk factor for increasing the and should not significantly skew the data incidence of DHF (Gubler, 1997; Guzman or change disease patterns. and Kouri, 2002). In this study, we were only interested There is a growing interest in inte- in predicting DHF incidence, not DF in- grating the disease-forecasting method cidence, because DHF is a major cause of into the surveillance system. Studies have morbidity and mortality in this country. shown the SARIMA model can produce a Forecasting DHF cases may help allocate reliable model to forecast DHF incidence appropriate control activities in a timely (Choudhurya et al, 2008; Luz et al, 2008; Si- manner. However, to understand overall lawan et al, 2008; Gharbi et al, 2011; Marti- disease transmission, both DHF and DF nez and Silva, 2011). In our study, the best cases should be considered, because DF fitting SARIMA models for each endemic cases can play a role in dengue transmis- municipality and Jakarta Province as a sion in the community (Endy et al, 2002). whole were parsimonious. The model for Besides clinical diagnosis, laboratory con- a non-seasonal structure (p,d,q) varied by firmation and serotype identification are municipality suggesting specific patterns necessary for inclusion in the surveillance exist in each municipality, defining which system to enhance the use of surveillance components influence the occurrence data, to understand the patterns of disease of dengue. The same order for seasonal transmission and to develop an early components (P,D,Q) was seen in all mu- warning system. nicipalities and in overall Jakarta Province Finally, this forecasting model was in the form of SARIMA (0,1,1) 12. This based on DHF incidence over the years Seasonal Random Trend (SRT) indicates with the assumption that all other condi- the dengue cases may be determined by tions, such as meteorological factors, DHF the trend the previous year. The adjacent prevention and control programs, and municipalities of Jakarta Utara, Jakarta socio-ecological factors remain constant. Pusat, and Jakarta Barat had similar sta- Hence, results from the forecasting should tistical structures for both seasonal and be carefully considered, especially when non-seasonal components, which may these conditions vary. Since a forecast be in part due to geographically linked in this study was based on univariate similarities, such as environmental and analysis, forecasting is less accurate dur- socio-economic factors. ing epidemic years. Several studies have However, some limitations should be been conducted highlighting the various considered when using data from routine climatic factors associated with dengue passive surveillance for disease forecast- transmission during epidemic years in ing. Even though DHF cases in Indonesia Indonesia (Corwin et al, 2001; Bangs et al, are diagnosed using WHO guidelines, the 2006; Arcari et al, 2007). Incorporating a data may include DF cases due to various climate variable into the SARIMA model diagnostic criteria applied by physicians might improve the accuracy of prediction Vol 44 No. 2 March 2013 215
Southeast Asian J Trop Med Public Health as shown in previous studies (Wu et al, on virus transmission. Southeast Asian J 2007; Gharbi et al, 2011). However, this Trop Med Public 2006; 37: 1103-16. study revealed the Box-Jenkins ARIMA Box GEP, Jenkins GM, Reinsel GC. Time series model may be useful for public health analysis forecasting and control. 3rd ed. authorities to understand trends and fore- New Jersey: Prentice-Hall, 1994. cast incidence in dengue endemic areas. BPS-Statistics Indonesia. Statistical yearbook of The ARIMA model is a practical tool for Indonesia. Jakarta: BPS, 2010. developing a forecasting system based on Choudhurya MAHZ, Banu S, Islam MA. routine data collection within the existing Forecasting dengue incidence in Dhaka, surveillance system, which can strengthen Bangladesh: A time series analysis.Dengue an early warning system and can be used Bull 2008; 32: 29-37. to initiate rapid response activities to an- Corwin AL, Larasati RP, Bangs MJ, et al. Epi- ticipate future dengue epidemics. demic dengue transmission in southern Sumatra, Indonesia. Trans R Soc Trop Med Hyg 2001; 95: 257-65. ACKNOWLEDGEMENTS Endy TP, Chunsuttiwat S, Nisalak A, et al. Epi- This study was supported by the demiology of inapparent and symptomatic Thailand International Development Co- acute dengue virus infection: a prospec- operation Agency (TICA). We would like tive study of primary school children in Kamphaeng Phet, Thailand. Am J Epidemiol to thank the Head of the Jakarta Province 2002; 156: 40-51. Health Office, Dien Emmawati, for al- Gharbi M, Quenel P, Gustave J, et al. Time series lowing us to use the surveillance data. analysis of dengue incidence in Guade- We are also grateful to all the staff at the loupe, French West Indies: forecasting Health Control Unit, Jakarta Provincial models using climate variables as predic- Health Office, and our colleagues from the tors. BMC Infect Dis 2011; 11: 166. Sub-directorate of Arbovirosis, MOH, for Gibbons RV, Vaughn DW. Dengue: an escalating providing necessary information. Thanks problem. BMJ 2002; 324: 1563-6. to Mr Irwin F Chavez for editing the final Governor Decree of Jakarta in 2007, No.171 manuscript. SL and JK were supported by [Indonesian Language]. the Office of Higher Education Commis- Gubler DJ. Dengue and dengue hemorrhagic sion and Mahidol University under the fever. Semin Pediatr Infect Dis 1997; 8: 3-9. National Research Universities Initiative. Gubler DJ. Dengue and dengue hemorrhagic fever. Clin Microbiol Rev 1998; 11: 480-96. REFERENCES Gubler DJ. Epidemic dengue/dengue hemor- Allard R. Use of time-series analysis in infec- rhagic fever as a public health, social and tious disease surveillance. Bull World economic problem in the 21 st century. Health Organ 1998; 76: 327-33. Trends Microbiol 2002; 10: 100-3. Arcari P, Tapper N, Pfueller S. Regional vari- Guzman MG, Kouri G. Dengue: an update. ability in relationships between climate Lancet Infect Dis 2002; 2: 33-42. and dengue/DHF in Indonesia. Singapore Halstead SB. Dengue. Lancet 2007; 370: 1644-52. J Trop Geogr 2007; 28: 251-72. Helfenstein U. Box-jenkins modelling of some Bangs MJ, Larasati RP, Corwin AL, Wuryadi S. viral infectious diseases. Stat Med 1986; Climatic factors associated with epidemic 5: 37-47. dengue in Palembang, Indonesia: Implica- Kusriastuti R, Sutomo S. Evolution of dengue tions of short-term meteorological events prevention and control programme in 216 Vol 44 No. 2 March 2013
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