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4. MODELING TECHNIQUES AND EXAMPLES
Many factors including environmental and meteorological
conditions affect the transmission of malaria, dengue and
seasonal influenza. The environmental and meteorological
conditions can indeed be considered the driving factors for
these diseases when other factors are stable. This is especially
evident for vector-borne diseases where the vector propagation
is directly influenced by the environmental and meteorological
conditions. This is the essential premise of why remote sensing
can be used to predict disease risks. In general, statistical and
biological models can be used to predict disease risks. Both
types of models accept remotely sensed environmental and
meteorological parameters as input. In some applications,
remote sensing not only can be used for predicting risks, but
also for detecting and reducing risks. In addition, remote
sensing-based model can be used to project disease risk under
the impact of global warming.
In general, statistical and mechanistic, or processed-based
approaches are used to model disease risks based on satellite
observations of meteorological and environmental parameters.
In the statistical approach, epidemiological data are correlated
with satellite data. The unknown parameters in the models are
determined using statistical goodness of fit criteria, such as
mean squared errors or Akaike Information Criteria (AIC).
Once the model is trained, it can then be applied to other
situations than those used for deriving the model parameters.
How the pathogens actually transmit the disease under different
meteorological and environmental conditions is not explicitly
modelled in this approach. The common methods in this
category include regression, time series analysis, and neural
network. Examples are given in the following for using neural
network to model malaria cases in Thailand and dengue cases in
Indonesia; using Autoregressive Integrated Moving Average
(ARIMA) to model influenza in Hong Kong; and using a
discrete event simulation model to simulate malaria prevalence
among 23 households.
4.1 Malaria in Thailand
Figure 1 shows an example for using neural network to predict
malaria cases for the border provinces in Thailand (Kiang et al.,
2006). The objective is to predict malaria cases in the near
future in order to forewarn public health stakeholders on the
expected transmission intensity. The main meteorological and
environmental parameters used in modelling include
precipitation, NDVI, and surface temperature. Excellent
agreement between the actual and hindcast case rates is seen.
Figure 1. Actual (left) and predicted (right) malaria
case rates in Thailand
4.2 Dengue in Indonesia
Figure 2 shows the results for using ARIMA to model the
dengue cases in Jakarta, Indonesia using TRMM data and dew
point temperature. All data except the last 12 months were used
for the training. The last 12 months of data were used for
deriving prediction accuracy. Close association between the
actual and prediction distributions can be seen. Inconsistency
between model output and the data at the final year is
potentially due to the vector control effort that was
implemented at the beginning of year 2005 and not accounted
for in the model.
8000
» Data -— ARIMA Output
E
7000
6000
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4000
3000
Dengue monthly cases
2000 4:
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Figure 2. Modelled dengue cases in Jakarta, Indonesia
4.3 Influenza in Hong Kong
Figure 3 shows the results for using ARIMA and radial basis
function neural network to model seasonal influenza cases in
Hong Kong (Soebiyanto et al, 2010). Data from the last
influenza season was used for testing modelling accuracy. The
rest of the data were used for training. Input to these models
include land surface temperature, rainfall, air and dew point
temperature.
— DATA mo ARIMA FIT
7 -o-ARIMA FORECAST ~~ = RBFNN FIT
^ RBFNN FORECAST
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Weekly Positive Influenza
{log scale)
E
Figure 3. Modelled influenza cases in Hong Kong
using ARIMA and radial basis function neural network
4.4 Prevalence of Malaria in a Cluster of Households
Figure 4 shows the expected malaria prevalence rate among 23
households and 92 residents using a discrete event simulation
model. In this model, detailed interactions among vector life
cycles, plasmodium sporogonic cycles, and human infection
cycles were simulated under the influences of intrinsic and
extrinsic effects. The simulations compare well with the shaded
field measurements for vivax and falciparum malarias (Zollner,
unpublished data).