The focus in this work is to assess which method
allows a better forecasting of malaria cases in Bujumbura ( Burundi)
when taking into account association between climatic factors and
the disease. For the period 1996-2007, real monthly data on both
malaria epidemiology and climate in Bujumbura are described and
analyzed. We propose a hierarchical approach to achieve our
objective. We first fit a Generalized Additive Model to malaria cases
to obtain an accurate predictor, which is then used to predict future
observations. Various well-known forecasting methods are compared
leading to different results. Based on in-sample mean average
percentage error (MAPE), the multiplicative exponential smoothing
state space model with multiplicative error and seasonality performed
better.
[1] A. Gomez-Elipe, Otero A, M. Van Herp and A.Aguirre-Jaime,
"Forecasting malaria incidence based on monthly case reports and
environmental factors in Karuzi, Burundi, 1997-2003," Malaria Journal
2007, 6:129, 1-10.
[2] R. J. Hynman, A. B. Koehler, J. K. Ord, and R. D.Snyder, Forecasting
with exponential smoothing: the state space approach. Springer, 2008.
[3] R. J. Hyndman, M. Akram, and B. C. Archibal, " The admissible
parameter space for exponential smoothing models," Annals of the
Institute of Statistical Mathematics 2008, 60: 407-426.
[4] D. C. Medina, E. S. Findley, and S. Doumbia " State-Space Forecast of
Schistosoma haematobium Time-Series in Niono, Mali," PLOS
neglected tropical diseases 2008, 8: 1-12.
[5] http://fr.wikipedia.org/wiki/Bujumbura.
[6] Ministry of Health in Burundi , EPISTAT.
[7] Ministry of Planning and Environment in Burundi, IGEBU.
[8] WHO: Stratégie de coopération de l-OMS avec les pays. République du
Burundi 2005-2009.
[9] T. A. Abeku, S. J. De Vlas, G. Borsboom, A.Teklehaimanot, A. Kebede,
D. Olana, G. J. Van Oortmarssen, and J. D. Habbema,
"Forecasting malaria incidence from historical morbidity patterns in
epidemic-prone areas of Ethiopia: a simple seasonal adjustment method
performs best," Tropical Meicine of International Health 2002,
7(10):851-7.
[10] H. Pruscha, "Residual and forecast methods in time series models with
covariates," Collaborative Research Center 386, University of Munich,
1996.
[11] M. J. Bouma , C. Dye , and H. J. Van der Kaay , "Falciparum malaria
and climate change in the North West Frontier Province of Pakistan,"
American Journal of Tropical Medicine and Hygiene 1996,55:131-137.
[12] A. J. Dobson. An Introduction to Generalized Linear Models. Second
Edition, Chapman & Hall, 2002.
[13] P.J.Diggle, P. Heagerty , K.Y. Liang S., and Zeger, Analysis of
Longitudinal Data. Oxford Science Publications, 1994.
[14] T. J. Hastie and R. J. Tibshirani, Generalized Additive Models.
Chapman & Hall, 1997.
[15] L. Fahrmeir and G. Tutz, Multivariate Statistical Modelling based on
generalized linear models. Springer, 2001.
[16] S. Wang, Exponential Smoothing for Forecasting and Bayesian
Validation of Computer Models, Thesis, Georgia Institute of
Technology , 2006.
[17] R. J. Hyndman, A. B. Koehler, R.D. Snyder, and S. Grose, "A state
space framework for automatic forecasting using exponential smoothing
methods," International Journal of Forecasting 2002, 18: 439- 454.
[18] http://www.ipredict.it/ErrorStatistics.aspx
[19] R. J. Hyndman and A. B. Koehler, "Another look at measures of
forecast accuracy," International Journal of Forecasting 2006, 22: 679-
688.
[1] A. Gomez-Elipe, Otero A, M. Van Herp and A.Aguirre-Jaime,
"Forecasting malaria incidence based on monthly case reports and
environmental factors in Karuzi, Burundi, 1997-2003," Malaria Journal
2007, 6:129, 1-10.
[2] R. J. Hynman, A. B. Koehler, J. K. Ord, and R. D.Snyder, Forecasting
with exponential smoothing: the state space approach. Springer, 2008.
[3] R. J. Hyndman, M. Akram, and B. C. Archibal, " The admissible
parameter space for exponential smoothing models," Annals of the
Institute of Statistical Mathematics 2008, 60: 407-426.
[4] D. C. Medina, E. S. Findley, and S. Doumbia " State-Space Forecast of
Schistosoma haematobium Time-Series in Niono, Mali," PLOS
neglected tropical diseases 2008, 8: 1-12.
[5] http://fr.wikipedia.org/wiki/Bujumbura.
[6] Ministry of Health in Burundi , EPISTAT.
[7] Ministry of Planning and Environment in Burundi, IGEBU.
[8] WHO: Stratégie de coopération de l-OMS avec les pays. République du
Burundi 2005-2009.
[9] T. A. Abeku, S. J. De Vlas, G. Borsboom, A.Teklehaimanot, A. Kebede,
D. Olana, G. J. Van Oortmarssen, and J. D. Habbema,
"Forecasting malaria incidence from historical morbidity patterns in
epidemic-prone areas of Ethiopia: a simple seasonal adjustment method
performs best," Tropical Meicine of International Health 2002,
7(10):851-7.
[10] H. Pruscha, "Residual and forecast methods in time series models with
covariates," Collaborative Research Center 386, University of Munich,
1996.
[11] M. J. Bouma , C. Dye , and H. J. Van der Kaay , "Falciparum malaria
and climate change in the North West Frontier Province of Pakistan,"
American Journal of Tropical Medicine and Hygiene 1996,55:131-137.
[12] A. J. Dobson. An Introduction to Generalized Linear Models. Second
Edition, Chapman & Hall, 2002.
[13] P.J.Diggle, P. Heagerty , K.Y. Liang S., and Zeger, Analysis of
Longitudinal Data. Oxford Science Publications, 1994.
[14] T. J. Hastie and R. J. Tibshirani, Generalized Additive Models.
Chapman & Hall, 1997.
[15] L. Fahrmeir and G. Tutz, Multivariate Statistical Modelling based on
generalized linear models. Springer, 2001.
[16] S. Wang, Exponential Smoothing for Forecasting and Bayesian
Validation of Computer Models, Thesis, Georgia Institute of
Technology , 2006.
[17] R. J. Hyndman, A. B. Koehler, R.D. Snyder, and S. Grose, "A state
space framework for automatic forecasting using exponential smoothing
methods," International Journal of Forecasting 2002, 18: 439- 454.
[18] http://www.ipredict.it/ErrorStatistics.aspx
[19] R. J. Hyndman and A. B. Koehler, "Another look at measures of
forecast accuracy," International Journal of Forecasting 2006, 22: 679-
688.
@article{"International Journal of Engineering, Mathematical and Physical Sciences:64030", author = "Hermenegilde Nkurunziza and Albrecht Gebhardt and Juergen Pilz", title = "Forecasting Malaria Cases in Bujumbura", abstract = "The focus in this work is to assess which method
allows a better forecasting of malaria cases in Bujumbura ( Burundi)
when taking into account association between climatic factors and
the disease. For the period 1996-2007, real monthly data on both
malaria epidemiology and climate in Bujumbura are described and
analyzed. We propose a hierarchical approach to achieve our
objective. We first fit a Generalized Additive Model to malaria cases
to obtain an accurate predictor, which is then used to predict future
observations. Various well-known forecasting methods are compared
leading to different results. Based on in-sample mean average
percentage error (MAPE), the multiplicative exponential smoothing
state space model with multiplicative error and seasonality performed
better.", keywords = "Burundi, Forecasting, Malaria, Regressionmodel, State space model.", volume = "4", number = "1", pages = "173-6", }
{
"title": "Forecasting Malaria Cases in Bujumbura",
"abstract": "The focus in this work is to assess which method\r\nallows a better forecasting of malaria cases in Bujumbura ( Burundi)\r\nwhen taking into account association between climatic factors and\r\nthe disease. For the period 1996-2007, real monthly data on both\r\nmalaria epidemiology and climate in Bujumbura are described and\r\nanalyzed. We propose a hierarchical approach to achieve our\r\nobjective. We first fit a Generalized Additive Model to malaria cases\r\nto obtain an accurate predictor, which is then used to predict future\r\nobservations. Various well-known forecasting methods are compared\r\nleading to different results. Based on in-sample mean average\r\npercentage error (MAPE), the multiplicative exponential smoothing\r\nstate space model with multiplicative error and seasonality performed\r\nbetter.",
"keywords": [
"Burundi",
"Forecasting",
"Malaria",
"Regressionmodel",
"State space model."
],
"authors": [
"Hermenegilde Nkurunziza",
"Albrecht Gebhardt",
"Juergen Pilz"
],
"values": 4,
"issue": 1,
"issn": null,
"page_start": 173,
"page_end": 6,
"year": "2010",
"doi": "https://doi.org/10.5281/zenodo.1084260",
"journal": "International Journal of Engineering, Mathematical and Physical Sciences",
"categories": [
"Mathematical and Computational Sciences"
],
"files": [
"http://scholarly.org/pdf/display/forecasting-malaria-cases-in-bujumbura"
]
}