Upload
dotruc
View
214
Download
2
Embed Size (px)
Citation preview
Disease susceptibility mapping using spatial modeling techniques
Author: Mohammadreza Rajabi
Supervisors: Ali Mansourian , Petter Pilesjo
GIS Center ,Department of Physical Geography and Ecosystem Science
Lund University
September, 2015
Disease susceptibility mapping using spatial modeling techniques
ii
Table of Contents
1- Introduction ......................................................................................................................................... 1
2- Literature Review ............................................................................................................................... 2
2-1- Disease mapping ............................................................................................................................... 2
2-2- Geographic correlation studies .......................................................................................................... 3
2-2-1- Spatial statistics ............................................................................................................................. 3
2-2-2- Ecological Analysis ...................................................................................................................... 4
2-3- Disease Surveillance ......................................................................................................................... 5
2-3-1. Risk mapping and modeling ......................................................................................................... 6
2-3-2. Simulation of disease spread ......................................................................................................... 8
2-3-3. Artificial intelligence for disease surveillance .............................................................................. 9
2-3-3.1. Neural networks for risk mapping and modeling ...................................................................... 9
2-3-3.2. Agent based modeling (ABM) for spatial epidemiology ........................................................ 10
2-4- Summary ......................................................................................................................................... 11
3- Research ............................................................................................................................................. 12
3-1- Research Problem ........................................................................................................................... 12
3-2- Research Objective ......................................................................................................................... 12
3-3- Research Questions ......................................................................................................................... 13
3-4- Research Summary ......................................................................................................................... 13
4- Material and methods ....................................................................................................................... 14
4-1- Case studies ..................................................................................................................................... 14
4-1-1. Visceral Leishmaniasis ............................................................................................................... 14
4-1-1.1. Study area for Visceral Leishmaniasis .................................................................................... 15
4-1-2. Cutaneous Leishmaniasis ............................................................................................................ 16
4-1-2.1. Study area for Cutaneous Leishmaniasis ................................................................................ 16
4-2- Methods........................................................................................................................................... 17
4-2-1. Artificial neural networks ........................................................................................................... 18
Disease susceptibility mapping using spatial modeling techniques
iii
4-2-2. Agent based modeling ................................................................................................................. 19
4-2-3. Fuzzy Logic ................................................................................................................................ 19
5- Progress .............................................................................................................................................. 19
5-1- Artificial Neural Networks for Visceral Leishmaniasis .................................................................. 19
5-2- Agent based modeling for Cutaneous Leishmaniasis ..................................................................... 20
5-3- Knowledge- and data-driven spatial modelling methods for VL susceptibility mapping ............... 21
Disease susceptibility mapping using spatial modeling techniques
1
1- Introduction Infectious diseases have long been one of the major challenges to human progress and survival.
They are considered as the main causes of death and disability worldwide. Infectious diseases
can be expected to remain a significant challenge for the foreseeable future (Morens et al., 2004).
About 25% (>15 million) of annual deaths worldwide are directly related to infectious diseases
(Morens et al., 2004). The main victims are people in developing countries and particularly
infants and children.
It has long been recognized that location can influence the health. In the book ‘Airs, Waters and
Places’, Hippocrates (430 to 377BC) mentions that certain diseases tend to occur in some specific
places (Rinaldi et al., 2006). Generating the world map of disease by the German physician
Finke in 1792 (Barrett, 2000) , geographical distribution of yellow fever cases in the harbor of
New York in 1798 (Stevenson, 1965) and the famous map of the addresses of cholera victims
and its association with location of water supplies in London by John Snow in 1855 (Koch and
Denike, 2009) are other historical examples that relate location with health.
The 1792 mapping of yellow fever and the 1854 cholera endemic triggered the idea of disease
susceptibility mapping. Afterwards , disease prediction using the environmental characteristics of
geographical areas have been frequently applied in epidemiological studies (Bergquist and
Rinaldi, 2010). In most of these studies environmental data have been integrated with
information of the causative agents and (intermediate) hosts in a geographical information
system (GIS) which includes modeling and exploratory analysis (Bergquist and Rinaldi, 2010).
The use of GIS together with spatiotemporal analysis for modeling disease dynamics refers as
“spatial epidemiology” and has been developed and diversified increasingly recently, adding new
technologies and techniques. However, despite the current well-developed understanding of
infectious diseases epidemiology (i.e. humans , vectors , intermediate hosts and environment), it
should come as surprise that advanced artificial intelligence (AI) techniques have been briefly
explored in spatial epidemiology. AI has several advantages over other modeling techniques
including: (i) accurate modeling of emergent phenomena, (ii) providing natural description of a
complex system , (iii) flexibility and (iv) fast performance and time saving (Bazghandi, 2012).
Accordingly, we utilize advanced artificial methods such as neural networks, agent based
Disease susceptibility mapping using spatial modeling techniques
2
modeling, fuzzy logic and etc., to examine the inter-relationships of infectious disease
components for disease surveillance and predictive mapping. Ecological and socio-
environmental data are considered as the main inputs for the model.
2- Literature Review The term ‘Spatial epidemiology’ in GIS refers to the analysis of the spatial/geographical
distribution of the incidence of disease(Lawson, 2013). This is done in consideration of
“demographic, environmental, behavioral, socioeconomic, genetic, and infections risk factors ”.
(Elliott and Wartenberg, 2004). Spatial epidemiology can be divided into three main areas: (1)
disease mapping, (2) geographic correlation studies (3) disease surveillance (Elliott and
Wartenberg, 2004). Each of the above types of spatial epidemiology is reviewed in the following
sections.
2-1- Disease mapping Basic mapping is the most popular usage of GIS in epidemiology(Rinaldi et al., 2006).
Representation of epidemiological data in the form of a map simplifies interpretation, synthesis
and recognition of frequency and clusters of disease(Rinaldi et al., 2006).
The oldest examples can be referred to the world disease map of Finke in 1792 (Barrett, 2000) ,
geographical distribution of yellow fever cases in New York in 1798 (Stevenson, 1965) , and the
mapping of cholera victims addresses in London by Snow (1855). Smith and Stiles in 1903
displayed the prevalence of hookworm infection in Texas in two independent papers and
indicated the association of this parasitic disease with soil type(Brooker and Michael, 2000).
Disease maps can be based on demography or geography information (Rinaldi et al., 2006).
Disease maps representation can also be qualitative or quantitative. Qualitative maps illustrate
the location of disease without specifying the amount of disease infection. Cringoli et al. (2002),
generated a point distribution map in which Dicrocoelium dendriticum in sheeps was shown from
an area of the southern Italian. Quantitative maps display number of disease cases , population at
risk , infection prevalence or intensity or incidence (Rinaldi et al., 2006). Cringoli et al. (2001),
generated a distribution map with proportional peaks to show the Dipetalonema reconditum in
dogs from an area of southern Italy.
Disease susceptibility mapping using spatial modeling techniques
3
2-2- Geographic correlation studies In geographic correlation studies, the main aim is to examine geographic and demographic
dynamics in exposure to environmental variables and socioeconomic measures, or lifestyle
factors in relation to health outcomes measured on a geographic (ecologic) scale (Elliott and
Wartenberg, 2004). We have explored this area in two divisions: spatial statistics and ecological
analysis.
2-2-1- Spatial statistics Spatial statistics are considered as statistical methods in which location data are used in the
analysis(Rinaldi et al., 2006). The framework of spatial epidemiology using statistics include
visualization , spatial analysis and modeling (Pfeiffer, 2004). Statistical methods are used to
interpret the differences in disease occurrence between areas. Their main advantage is their
ability to filter the signal from the noise(Elliot et al., 2000). Some of these methods have been
utilized in spatial epidemiology regarding veterinary diseases, e.g. fasciolosis (Durr et al., 2005) ,
paramphistomosis (Biggeri et al., 2005) , echinococcosis (Berke, 2001, Budke et al., 2005),
bovine spongiform encephalopathy (Abrial et al., 2005) , mastitis (Green et al., 2004), foot and
mouth disease (Lawson and Zhou, 2005) and Dicrocoelium dendriticum (Biggeri et al., 2006).
Spatial analysis and statistical methods are combined to identify patterns in distribution of
disease incidences and discriminate between systematic and random fluctuations(Rinaldi et al.,
2006). For example auto correlation indices such as Moran’s I or Sman’s D have been used to
detect the presence of structured variability on aggregate disease data(Mollalo et al., 2014).
Moreover , case-control sampling designs have been used on point data in the form of the
Cuzick-and-Edwards’ test to detect general fluctuations (Cuzick and Edwards, 1990). GIS has
also been combined with statistical analysis methods to identify new cutaneous leishmaniasis
epidemiological patterns (Salah et al., 2007, Rodríguez et al., 2013, Mollalo et al., 2015,
Adegboye and Kotze, 2012).
Disease susceptibility mapping using spatial modeling techniques
4
2-2-2- Ecological Analysis The term “ecological analysis” in spatial epidemiology refers to the description of relationships
between spatial distribution of diseases and environmental preconditioning factors and their
analysis. There are significant number of literatures in which the relationship between disease
indicators (e.g. positivity, incidence and prevalence) and the environmental and climatic
variables have been explored. There are studies conducted by entomological researchers in
which GIS is used to study the ecology of disease vectors (Karimi et al., 2014, Gálvez et al.,
2010, Abdel-Dayem et al., 2012, Kassem et al., 2012).
A number of studies around the world have demonstrated that environmental, demographic and
statistical data about the ecology of vector-borne diseases can provide the basis for the
development of spatial, predictive risk models (Peterson et al., 2003, Castillo-Riquelme et al.,
2008, Salahi-Moghaddam et al., 2010). There are also studies in which disease epidemiology has
been modeled by considering the potential ecological factors. For example, Barhoumi et al.
(2015) highlighted the impact of irrigation of arid regions in Tunisia on the population of CL
sand fly vectors. Mollalo et al. (2014) developed a model to discuss the relation between
vegetation cover and the incidence of CL. Garni et al. (2014) explored the influence of land
cover change on the occurrence of CL using GIS and remote sensing analysis.
Spatial epidemiology can be used together with remote sensing data to predict disease
seasonality. Accordingly, climatic, environmental and habitat analysis of disease host and
vectors is performed in a GIS framework. Climate-based forecast systems , utilizing the growing
degree days (GDD), have been developed for different diseases such as fasciolosis,
schistosomosis and malaria (Malone, 2005), along with dirofilariosis (Genchi et al., 2009)
(Figure 3).
Disease susceptibility mapping using spatial modeling techniques
5
Figure 1- Yearly average predicted number of Dirofilaria generations in Europe by Genchi et al. (2009)
2-3- Disease Surveillance A surveillance system is defined as an integrated set of planned epidemiological activities whose
aim is to identify and prevent new cases of disease(Rinaldi et al., 2006). A spatial surveillance
system looks for the presence of non-natural clusters of diseases in the areas. The system could
be regarded as an expert system in which decision making process is based on geographical
information associated with the disease prevalence identified from geographical correlation
methods.
Several infectious diseases have (re)-emerged during recent years. According to the geographical
correlation studies (see section 2.2) the most important factors causing the (re)-emergences are
climate change , habitat changes, alterations in water storage and irrigation habits, pollution ,
development of resistance to insecticides and drugs , globalization and the increase in
international trade , tourism and travel. Examples of re-(emerging) vector-borne diseases caused
by the mentioned factors include Babesiosis, bluetongue, chikungunya, dengue, encephalitis,
ehrlichiosis, leishmaniasis, Lyme disease, malaria, plague, trypanosomiasis, West Nile disease
and yellow fever(Takken and Knols, 2007). The surveillance systems could be a solution to
suppress the losses of the (re)-emergences (Hendrickx et al., 2004). The main advantage of these
Disease susceptibility mapping using spatial modeling techniques
6
systems is their ability for exploratory analysis. There is a wide variety of modeling techniques
which could be applied for disease surveillance and predictive mapping. These methods could be
explored in two different perspectives:
a) Risk mapping and modeling
b) Simulation of disease spread
2-3-1. Risk mapping and modeling The systematic routine collection and analysis of health outcome data for disease prevention and
control purposes is performed using risk mapping and modeling techniques. In this regard,
disease clusters are explored through the use of space , time , and space-time pattern detection
methods(Elliott and Wartenberg, 2004). The term disease cluster indicates an excess of cases
above background rate in relation to certain time and space (Elliott and Wartenberg, 2004).
Risk mapping and spatial data modeling in epidemiology aims to predict the occurrence of
disease. There is a direct association between the epidemics spread and the characteristics of the
environment which could be identified using geographical correlation methods (Bergquist and
Rinaldi, 2010) (see section 2.2). In this regard, spatiotemporal data such as temperature ,
humidity , vegetation , hydrology , meteorology , etc. could be used together with clinical data to
construct predictive models. These datasets will be processed using spatial analysis methods to
generate risk maps (Seid et al., 2014, Garni et al., 2014, Ali-Akbarpour et al., 2012). Bhunia et
al. (2011) studied the influence of the distribution of inland water bodies on transmission of
leishmaniasis and presence of its dominant vector in a GIS model. In a knowledge-driven
approach, Rajabi et al. (2012) used multi-criteria decision-making methods together with GIS to
identify high-risk areas for leishmaniasis outbreak in north-western Iran. Pezeshki et al. (2012),
have used fuzzy clustering means to describe the relation of spatial and climate variables to
cholera incidence in Chabahar, Iran. Salahi-Moghaddam et al. (2010), have used GIS to generate
visceral leishmaniasis risk maps using ecological and environmental data.
Risk mapping and modeling has become one of the most important research areas in
epidemiology recently (Bergquist and Rinaldi, 2010). The relevant literature is growing fast
regarding the development of the theoretical work, methodological development and field
application(Angulo and Ruiz-Medina, 2008). Specifically, for the vector-borne diseases the
Disease susceptibility mapping using spatial modeling techniques
7
spatial and temporal characteristics of environment play an important in epidemiology(Bergquist
and Rinaldi, 2010). Significant number of literatures indicated that vector-borne diseases are
highly sensitive to the variations in temperature and rainfall(Liang et al., 2007). It took a while
till researches considered GIS as an analytic tool for epidemiology rather than a visualization
tool. Accordingly, spatiotemporal modeling is increasingly applied for a wide variety of vector-
borne diseases. Mott et al. (1995) introduced the applicability of geographical analysis for the
epidemiology and predictive modeling of Cutaneous Leishmaniasis. Thereafter, spatial analysis
has been frequently used to identify and evaluate the underlying environmental precondition
factors which influence the Cutaneous Leishmaniasis (Seid et al., 2014, Garni et al., 2014, Ali-
Akbarpour et al., 2012). Similarly, other vector-borne diseases have been explored using spatial
modeling techniques, e.g. dengue (Pongsumpun et al., 2008) , leishmaniasis (Ready, 2008) ,
malaria (Mabaso et al., 2006), Rift Valley fever (Vignolles et al., 2009), bluetongue (Racloz et
al., 2008) and Shistosomiasis (Wu et al., 2007). There are also some studies in which the
dynamics of historical epidemics has been explored. For example, Yu and Christakos (2006),
studied the spatiotemporal evolution of bubonic plague in India 1896-1906 using GIS
techniques.
The techniques applied in risk mapping and modeling can be divided into two groups: data-
driven and knowledge-driven methods. In the knowledge-driven approach, the analyst uses
expert knowledge to assign weights to a series of factors. The main problem here is that
insufficient knowledge could mislead the work. Another limitation is the subjectivity of the
weighting of the factors.
On the other hand, data-driven methods could be discussed in two different classes: (1)
deterministic and (2) statistical data-driven methods. Deterministic data-driven methods can
only be applied in areas where there are simple relations between the predetermined factors and
the desired phenomena. Moreover, the environmental properties should not be inhomogeneous
and intricate (Turner and Schuster, 1996). In addition, these methods are only applicable for
small areas (Yilmaz, 2009). One of the main drawbacks of the deterministic, data-driven
methods is malfunctioning when the data are incomplete (Gomez and Kavzoglu, 2005).
Statistical, data-driven methods, on the other hand, require the collection of large amounts of
Disease susceptibility mapping using spatial modeling techniques
8
data to produce reliable results (Turner and Schuster, 1996; Gomez and Kavzoglu, 2005; Yilmaz,
2009).
2-3-2. Simulation of disease spread The interactions of environment, hosts and vectors in specific locations have an important role in
development of an outbreak to an epidemic. Disease spread modeling can be performed by
mathematical modeling approaches. Chaves and Hernandez (2004), presented a mathematical
model for dynamics of transmission of American Cutaneous Leishmaniasis (ACL), that includes
a population of incidental hosts , along with species that are reservoir hosts. Their model
obtained expressions that allow computing the threshold conditions for the persistence of the
infection. RABINOVICH and FELICIANGELI (2004) , developed a mathematical model of
cutaneous leishmaniasis (CL) transmission predicting CL based on field data of number of
positive sand flies , new CL cases , and number of susceptible people. Time series analysis also
has been applying for simulation of disease dynamics. Lewnard et al. (2014), fit time series
models using meteorological covariates to predict CL cases in a rural region of Bahia , Brazil
from 1994 to 2004. They used the model to forecast CL cases for the period 2005 to 2008.
Chaves et al. (2014), studied association patterns between monthly time series of: CL cases,
rainfall and temperature from Panama. They employed autoregressive models to quantify the
seasonal and inter-annual impacts of climate and El Nino on CL dynamics. Chaves and Pascual
(2006) , studied monthly data from 1991 to 2001 , of CL incidence in Costa Rica using several
approaches for non-stationary time series analysis in order to ensure robustness in the description
of CL’s cycles.
While such models have proved useful, they have also been criticized by scientists(Crooks and
Hailegiorgis, 2014). The most important issue of these studies is that they don’t consider socio-
ecological complex relations and individual behavioral factors for an epidemic progression
modeling (Epstein, 2009). Moreover, the interactions between the key epidemiological factors
couldn’t be simulated realistically using these conventional methods (e.g. differential equations)
(Bonabeau, 2002). Lots of classical models neglect the population heterogeneity (Bonabeau,
2002), and consider uniform mixing assumptions for the disease spread (Eubank et al.,
2004).They also tend to smooth out fluctuations which make them susceptible to large
perturbations (Bonabeau, 2002). Accordingly, treatment of all components of an epidemic as
Disease susceptibility mapping using spatial modeling techniques
9
largely homogeneous entities is one of the other criticisms for these models (Crooks and
Heppenstall, 2012). Subsequently, the modeling of disease dynamics in the mentioned models is
performed by just focusing on the local interactions and ignores the complex situations of the
environment (Birkin and Wu, 2012).
2-3-3. Artificial intelligence for disease surveillance Spatial epidemiology aims to explain or predict the occurrence of disease(Rinaldi et al., 2006).
Advanced modeling methods could be used to extract various static or dynamic relationships
from a set of input maps. While developments in spatial statistics within the health science have
advanced considerably, there have been fewer efforts in utilizing new advanced techniques.
Predictive maps can be obtained using heuristic algorithms (e.g. neural networks), and agent
based modeling techniques could be used for disease dynamics simulation. The linkage between
the mentioned modeling methods and spatial epidemiology has been poorly developed.
2-3-3.1. Neural networks for risk mapping and modeling To overcome the mentioned limitations of conventional risk mapping and modeling, new
techniques, such as artificial neural networks (ANNs) could be used for modeling complex
problems. A Neural network is an artificial system which is designed based on the way the
human brain works. These advanced, data-driven approaches are being used more frequently in
spatial studies to identify and classify areas as well as to predict the distribution of real-world
phenomena having to do with flooding, landslides, mines, etc. (Biswajeet & Saro, 2007;
Nykanen, 2008; Yilmaz, 2009; Choi et al. 2010; Pradhan, 2013).
Although most of epidemics are restricted to specific localities with special environmental,
topographical, demographical, and socio-economic factors, there has been only a few studies on
adapting neural networks in GIS to explain their focal distribution. Neural networks are useful
when the primary goal of model is prediction and complex non-linarites exist in the dataset (Tu,
1996). According to ,Tu (1996) , the most important advantages of neural networks are as
follows : (1) require less formal statistical training to develop (2) detect complex non-linear
relationships (3) detect all possible inter-relationships (4) utilizing multiple different training
algorithms.
Neural networks are able to learn by themselves, an ability which makes them remarkably
distinctive to identify complex relationships between the epidemic and the preconditioning
Disease susceptibility mapping using spatial modeling techniques
10
factors. Little attention however, has been focused on using ANN in spatial epidemiological
studies, with some exceptions. For example, Kiang et al. (2006) used ANN methods to model the
dependency of malaria transmission on precipitation, temperature, relative humidity and
vegetation index variables in Thailand. Capinha et al. (2009) also applied ANN to combine
Anopheles atroparvus species records with a set of five environmental predictors to present
habitat suitability for malaria vectors in mainland Portugal. Moustris et al. (2012) provided an
ANN forecasting model to evaluate the possible impact of meteorological parameters and air
pollution on the number of childhood asthma admissions.
2-3-3.2. Agent based modeling (ABM) for spatial epidemiology In an ABM, “agents” represent entities in a real world system to be modeled. An ABM also
represents the environment in which these entities “live.” Each of these entities has a state and
exhibits an explicit behavior. An agent can interact with its environment and with other
entities(Barnes and Chu, 2010).
ABMs offer an alternative to classical simulation methods as they provide the ability to focus on
the dynamic interactions between entities who are involved in a disease spread (Kelly et al.,
2013). Kelly et al. (2013) , note that ABMs are proper methods when the purpose of the model is
for developing an understanding of a desired system. Especially when it comes to assumptions
about processes and interactions, ABMs are strong methods and various complex systems can be
explored through ABM simulations (Kelly et al., 2013, Crooks and Hailegiorgis, 2014).
ABMs have been increasingly used in spatial epidemiology applications for different diseases,
e.g. Cholera (Crooks and Hailegiorgis, 2014) , dengue fever (Lourenço and Recker, 2013), foot-
and-mouth (Dion et al., 2011), hepatitis (Ajelli and Merler, 2009), influenza (Rao et al., 2009) ,
malaria (Linard et al., 2009), measles (Perez and Dragicevic, 2009), mumps(Simoes, 2012),
swine flu (Epstein, 2009), smallpox(Epstein et al., 2002), tuberculosis(Patlolla et al., 2006) etc.
However, with respect to vector-borne diseases there has been little work carried out using
ABMs considering habitat analysis of vectors and reservoir hosts in GIS. For example, Linard et
al. (2009) explored the potential biting rate for malaria vectors in a land use/cover map using a
multi-agent simulation. Arifin et al. (2013), developed a model to simulate the resource-seeking
process of malaria vectors.
Disease susceptibility mapping using spatial modeling techniques
11
2-4- Summary The main objective of spatial epidemiology is to prepare a framework in which different aspects
of a disease (epidemic) has been explored and could be used for disease surveillance and making
appropriate preventive decisions. Map visualization and geographical correlation methods
prepare the input for modeling and risk mapping of the desired diseases. In this regard, statistical
methods and ecological analysis are used in geographical correlation methods. Different methods
could be applied for surveillance of epidemics. These methods could be classified according to
two broader objectives.
a) Risk mapping and modeling according to different environmental, demographical,
socioeconomic, etc., factors.
b) Simulation of disease spread using interactions between host , vector , intermediate host
and the environment.
According to complexity in relationships of different components of a disease, applied models
should be strong enough to extract the desired patterns. Neural networks offer a number of
advantages including requiring less formal statistical training, ability to detect complex nonlinear
relationships and the ability of multiple training algorithms(Tu, 1996). Accordingly, artificial
neural networks could be used to explore the existing associations of diseases dynamics.
The interactions of environment, hosts and vectors in specific locations have an important role in
development of an outbreak to an epidemic. Having these interactions simulated, one would be
able to prepare a surveillance system for the certain disease. Conventional modeling methods
have several drawbacks when it comes to a complex system such as an epidemic. Agent based
modeling methods are proved to be a reliable alternative for the conventional simulation
methods, since they consider randomness and heterogeneity during simulation.
Disease susceptibility mapping using spatial modeling techniques
12
3- Research
3-1- Research Problem
There have been various studies in relation to disease surveillance. The main problem in risk
mapping and modelling part of disease surveillance studies is the weakness of applied techniques
in extracting non-linear relationships between factors and the disease. There are two important
reasons for their weakness. First, conventional techniques do not have the ability to identify the
complex relationships. Second, conventional techniques don’t have the ability to consider all the
spatial and non-spatial preconditioning factors in the modelling.
Disease spread modelling is another important part of disease surveillance studies. Various
studies have worked on disease spread using conventional mathematical and statistical methods.
These methods have been criticized by researchers because they neglect randomness,
heterogeneity and interactions in the disease spread. Most of recent studies are focusing on
applying agent based modeling (ABM) techniques for disease spread. But there are several
challenges that should be addressed while modeling by an ABM: (1) agent’s behavior should be
designed and parameterized (2) sensitivity analysis should be performed for the verification and
validation of the model (3) coupling socio-demographic , ecological and biophysical models, and
(4) capture spatial heterogeneity in both inputs and outputs across multiple spatial scales
(Filatova et al., 2013).
3-2- Research Objective
The main problem of this study is to address challenges associated with the disease surveillance
techniques (risk mapping, disease spread) adapting artificial intelligence techniques in spatially
explicit environments. The main objective will be achieved following these auxiliary objectives:
• Adopt artificial intelligence techniques to risk mapping and modelling of infectious
diseases.
• Adopt agent based modelling techniques to modelling of disease spread in a spatially
explicit environment.
Disease susceptibility mapping using spatial modeling techniques
13
3-3- Research Questions
The main questions which should be answered during the research include:
• How to apply artificial intelligence techniques such as Neural Networks , Fuzzy Logic ,
etc. as spatial models which approximate the relationship between a set of recognition
criteria (or predictor maps) and a target disease?
• How data-driven and knowledge-driven spatial modelling techniques will perform in
relation to susceptibility mapping of a disease?
• How to develop a spatial agent-based model for a vector-borne disease in which common
challenges of the ABMs are addressed?
• How to apply ABMs to capture the characteristics of socio-ecological systems associated
with an epidemic and explore the effects of environmental and human-made changes to
disease progress.
3-4- Research Summary
The main focus of this study is to adopt new solutions for disease surveillance. As discussed in
previous sections, risk mapping and modelling of infectious diseases is associated with a wide
variety of geographical and non-geographical factors. Identification and modelling of linear and
non-linear relationships between these factors and the incidence probability of an epidemic is the
main effort in the first part of research. In this regard, artificial intelligence data-driven
techniques will be utilized for risk mapping and modelling of infectious diseases.
According to the literature, the interactions between host, vector, intermediate hosts and
environment are the main source of a disease spread. The main effort in the second part of the
study is to include these interactions in a spatially explicit environment and simulate their
behaviour in a real-world-like agent based model.
Disease susceptibility mapping using spatial modeling techniques
14
4- Material and methods
4-1- Case studies
Leishmaniasis caused by protozoan parasites Leishmania, is strongly associated with victims’
living conditions (Kumar, 2013). Leishmaniasis has been considered as one of the most
significant tropical diseases in World Health Organization’s (WHO) reports and is considered as
the second most prevalent parasitic disease after malaria. The parasite could be transmitted by
Phlebotomus sandflies (Swaminath et al., 2006). The number of annual Leishmania infections is
increasing due to man-made environmental changes that causes humans to be more exposed to
the sand fly vector (Desjeux, 2004). Leishmaniasis has three major forms which have different
clinical manifestations (Handman, 2001) including Visceral Leishmaniasis , Cutaneous
Leishmaniasis (CL) and Mucocutaneous leishmaniasis.
4-1-1. Visceral Leishmaniasis
Visceral leishmaniasis (VL), also known as kala-azar, is a zoonotic, vector-borne disease,
endemic in 76 countries. This disease is the second-largest parasitic killer in the world (after
malaria), responsible for an estimated 500,000 infections each year (Desjeux 2001, Palit et al.
2005). Between 20 000 to 40 000 of people die from VL annually (Alvar, et al., 2012).
According to World Health Organization (WHO) reports, VL is a neglected tropical disease
(WHO report, 2012) that might spread throughout developing countries, where the conditions for
the disease exist. Without any control strategies, the untreated VL can have a fatality rate as high
as 100% within 2 years (WHO, 2013).
Leishmania infantum is the principal agent of human and canine VL in Iran (Mohebali et al.,
2002; 2004). The disease has been reported sporadically in Iran with the north-western and
southern part being the primary, endemic foci, where it is most frequent seen among the rural
population and nomads. From 1996 to 2010, more than 3,000 cases of symptomatic VL were
detected in 31 of Iran's provinces. The majority of the cases (92.8%) were found among children
up to 12 years old (Mohebali, 2012).
Disease susceptibility mapping using spatial modeling techniques
15
4-1-1.1. Study area for Visceral Leishmaniasis
The social and physical environment of north-western Iran is characterized mainly by the
presence of several factors strongly associated with VL, including nomadic lifestyle, suitable
climatic conditions and large dog populations (i.e. sheepdogs, guard dogs and stray dogs)
(Mirsamadi et al., 2002; Salahi-Moghaddam et al., 2010; Edrissian et al., 1988; Moshfe et al.,
2008; Rajabi et al., 2012). The Meshkin-Shahr district in the Ardabil Province is one of the most
important endemic zones for VL in north-western Iran (Salahi-Moghaddam et al., 2010) and the
Iranian Ministry of Health (MOH) records indicate that the number of VL infections has
noticeably increased in this and neighbouring districts during the last decade (Soleimanzadeh
1993, Tamook et al., 2006). Newer reports shows that VL occurs also in other provinces in
north-western Iran, including East Azerbaijan (Mirsamadi et al., 2002, MOH, 2006; 2008).
Further investigations have shown that VL has become common in two districts of East
Azerbaijan, i.e. Kalaybar and Ahar, which have the largest VL-infected population in the
province (MOH, 2006; 2008, Fallah, 2009; Khanmohammadi, et al., 2010). This part of our
study focused on 800 villages in these two districts: Kalaybar in the north-eastern part of East
Azerbaijan and Ahar, located immediately south of Kalaybar (Figure 1).The above-mentioned
Iranian endemic areas border three other countries: Azerbaijan, Armenia, and Turkey, raising
substantial national and international concern over the probability of international spread.
Disease susceptibility mapping using spatial modeling techniques
16
Figure 2- study area for Visceral Leishmaniasis, Northwest Iran
4-1-2. Cutaneous Leishmaniasis
Cutaneous Leishmaniasis (CL) is the most common kind of Leishmaniasis. This form is not fatal
but it leaves severe scars on the victim’s skin exactly where it has been bitten by the sand fly. It
has a relative long incubation period in comparison to other vector borne diseases and it can last
from few days to months.
WHO’s reports indicate that there are 1.5-2.0 million new cases of cutaneous leishmaniasis
(CL)(Alvar et al., 2012). Almost 90% of all cases of CL now happen in Iran , Syria, Saudi
Arabia, Afghanistan, Peru, and Brazil (Kumar, 2013). CL represents the most frequent vector-
borne disease in Iran with an average of more than 22,000 cases in the last decade (Oshaghi et
al., 2010).
4-1-2.1. Study area for Cutaneous Leishmaniasis Isfahan province, at the centre of Iran, has long been known as one of the most important
endemic areas of CL (Arjmand et al., 2014, Nadim and Faghih, 1968) and still has a large
number of annual infections with approx. 2200 in year 2013. CL due to L.major and L.tropica
protozoa has epidemic status in Isfahan. Rhombomys opimus, a domestic rodent, is the main
Disease susceptibility mapping using spatial modeling techniques
17
reservoir host and Phlebotomus papatasi , is the most common sand fly specie in Isfahan
(Emami et al., 2009).
Surprisingly, considering the huge effort of preventive measures from health authorities and
large number of academic efforts in Isfahan province through the past 30 years, the number of
infections is still prominent and recently CL has started spreading to the non-endemic parts of
the province (Emami et al., 2009, Arjmand et al., 2014).
Figure 3- Study area for Cutaneous Leishmaniasis, Isfahan province, Iran.
4-2- Methods Artificial intelligence (AI) refers to any computer system that uses a logical process to learn and
develop based on the surrounding environment and prior mistakes. Accordingly, AI is the
intelligence revealed by machines or software. Several types of AI technology are available. In
this study three types of AI techniques will be explored including artificial neural networks
(ANN), Agent based Modeling (ABM) and fuzzy logic.
Disease susceptibility mapping using spatial modeling techniques
18
4-2-1. Artificial neural networks Artificial neural networks (ANNs) mimic the nervous systems of the human brain. They can be
defined as simplified mathematical models trained to learn (Tsoukalas and Uhrig, 1997; Beucher
et al., 2013). The fundamental elements are neurons, which receive multiple signals, combine
and modify them to transmit the result to other neurons. In an ANN, the artificial neurons are
usually organized in layers (Beucher et al., 2013). In this study, we use a neural network model
called Radial Basis Functional Link Nets (RBFLN) described by Looney (1997; 2002). This
specific model is chosen since, unlike other ANNs, it requires a smaller volume of training data
(Looney, 1997; 2002). In spatial epidemiology studies, especially in poorly explored areas, the
number of known areas susceptible to a specific endemicity like VL is low (i.e. the amount of
training data that can be obtained is low). One of the advantages of RBFLN, desirable for disease
predictive mapping, is that a smaller number of hidden nodes can be used and hence good results
can still be achieved even with a small amount of training data (Looney, 1997; Looney and Yu,
2001; Looney, 2002).
An RBFLN is composed of three layers (Figure 6): (1) an input layer of N nodes, where each
node has one input (e.g. an area in a map layer) representing a feature vector of N elements; (2) a
hidden layer of M artificial neurons, where each neuron signifies a radial basis function (RBF);
(3) an output layer of J artificial neurons (Looney, 1997; Looney and Yu, 2001, Beucher et al.,
2013).
Figure 4- General structure of RBFLN
Disease susceptibility mapping using spatial modeling techniques
19
4-2-2. Agent based modeling Agent based modeling has been increasingly applied to the simulation of geographical dynamics
of wide variety of systems. ABM allows the disaggregation of systems into separate components
(the “agents”) that can have their own features and rule sets(Crooks and Heppenstall, 2012). An
agent is anything that can be viewed as perceiving its environment and acting through upon that
environment through predefined rules (ref). Agent-based models (ABM) are type of the
computational models in which simulating the actions and interactions of autonomous “agents”
are performed with a view to assessing their effects on the system as a whole (ref). They can
simulate the simultaneous processes and interactions of multiple agents in an attempt to
reconstruct and predict the appearance of complex phenomena (ref). Most agent-based models
are composed of: (1) agents; (2) decision-making processes; (3) adaptive processes; (4)
interactions; and (5) environment. Agent-based models comprise dynamically interacting rule-
based agents. The systems within which they interact can create real-world-like complexity (ref).
Usually agents are placed in space and time and reside in networks. The location of the agents
and their responsive behavior are encoded in algorithmic form in computer programs (ref).
4-2-3. Fuzzy Logic Real-world models of complex phenomena such as epidemics are associated with two kinds of
uncertainties (i) stochastic and (ii) systematic uncertainties(Porwal et al., 2003). Systematic
uncertainties arise from vagueness (or ‘fuzziness’) in the definition of the phenomena and their
parameters and could be best treated using the concepts of fuzzy sets and fuzzy logic(Zadeh,
1965). The term "fuzzy logic" was presented with the 1965 proposal of fuzzy set theory by Lotfi
A. Zadeh. Fuzzy logic has been applied to many fields in artificial intelligence. Fuzzy logic is a
class of many-valued logic that discusses approximate, rather than fixed and exact reasoning.
Compared to traditional binary logic (where variables may take on true or false values), fuzzy
logic variables may have a truth value that ranges in degree between 0 and 1.
5- Progress
5-1- Artificial Neural Networks for Visceral Leishmaniasis The main aim of this part of the study is to develop a model based on ANN to map the potential
risk-prone areas in relation to VL outbreak in the study area. Since VL is a vector-borne disease,
which spreads mostly by means of reservoir hosts (e.g. dogs), it is not possible to collect
Disease susceptibility mapping using spatial modeling techniques
20
complete input data for the model. ANN represents a powerful data-driven approach that models
the behavior of VL vectors and reservoir hosts based on a sample data collection investigating
the complex association between the environmental properties of the study area, the socio-
economic factors and the spread of VL. With this in mind, we aim to develop an environmental
model for predictive mapping of the most susceptible areas for VL, taking into account
meteorological, topographical, demographic and socio-economic factors. The map would
provide new insight, which would help to develop strategies for preventing further spread of VL
in the study area.
The implementation and modeling of this part of the study has been finished and the results are
published in a journal paper (Figure 7).
Figure 5-published paper according to the results of first part of research
5-2- Agent based modeling for Cutaneous Leishmaniasis Agent-based modeling approaches have been recently used to overcome the heterogeneity
problem and other challenges of conventional models (Crooks and Heppenstall, 2012). Utilizing
diverse interactions between individual agents, or an individual agent and the environment, gives
the ABM methods the ability to simulate the processes and their impacts realistically (Crooks
and Heppenstall, 2012, Crooks and Hailegiorgis, 2014). They simulate complex situations where
agents make rational decisions based on their knowledge of the environment (Birkin and Wu,
2012). Agent-based simulations can exhibit different time scale processes into a single model
which gives them the ability to accurately simulate a particular phenomenon such as epidemics
(O'Sullivan, 2001). Therefore they are more akin to the reality, and are capable of representing
the social theory and map more naturally to the structure of problem than other modeling
Disease susceptibility mapping using spatial modeling techniques
21
approaches (Van Dyke Parunak et al., 1998, Crooks and Heppenstall, 2012). Moreover, ABMs
are scale independent and their mobility will help spatial simulations. Likewise, ABMs
flexibility will be highlighted in relation to geospatial modeling particularly in terms of potential
variables and parameters that can be specified(Crooks and Heppenstall, 2012). In this regard, the
integration of ABM and GIS would make a powerful approach to evaluate and analyze a disease
spread (Perez and Dragicevic, 2009). As a result, ABMs have been increasingly used in spatial
epidemiology applications for different diseases.
An agent based modeling approach has been developed for CL spread modeling in which the
mentioned drawbacks of the current studies are covered. First, dynamic interactions between
environments, vectors and hosts have been simulated. Secondly, the simulation includes a wide
variety of socio-ecological factors which makes it more realistic. Third, different types of agents
have been defined to model the behavior of vectors, hosts and environment in relation to CL
spread.
With this in mind, in this part research, a comprehensive epidemiological approach has been
conducted to analyze and evaluate the spread of CL using an agent-based modeling
methodology. The study area is mainly focused on Isfahan province in central part of Iran .
The modeling and implementation of this part of the study is being performed and we are
preparing the first manuscript for the results acquired from ABM explorations. `
5-3- Knowledge- and data-driven spatial modelling methods for VL susceptibility mapping
This part of work aims to assess the disease susceptibility of an endemic area , using three
methods: the weight of evidence statistical method (WOE) that is based on bivariate statistical
analysis , logistic regression approach and fuzzy logic.
To document the efficiency of these methods, a risky area in relation to VL outbreak, in
northwestern Iran is chosen.
The disease susceptibility map derived from WOE method will be compared with those
produced from the logistic regression and fuzzy logic and the results will be analyzed. As a
Disease susceptibility mapping using spatial modeling techniques
22
general aspect, it should be concluded which of the methods is recommended as the most
suitable for disease mapping regarding the study area and input-data.
This part of the study has also finished and the draft of manuscript is prepared.
6- References
ABDEL-DAYEM, M. S., ANNAJAR, B. B., HANAFI, H. A. & OBENAUER, P. J. 2012. The potential distribution of Phlebotomus papatasi (Diptera: Psychodidae) in Libya based on ecological niche model. J Med Entomol, 49, 739-45.
ABRIAL, D., CALAVAS, D., JARRIGE, N. & DUCROT, C. 2005. Poultry, pig and the risk of BSE following the feed ban in France–a spatial analysis. Veterinary research, 36, 615-628.
ADEGBOYE, O. A. & KOTZE, D. 2012. Disease mapping of Leishmaniasis outbreak in Afghanistan: spatial hierarchical Bayesian analysis. Asian Pacific Journal of Tropical Disease, 2, 253-259.
AJELLI, M. & MERLER, S. 2009. An individual-based model of hepatitis A transmission. Journal of theoretical biology, 259, 478-488.
ALI-AKBARPOUR, M., MOHAMMADBEIGI, A., TABATABAEE, S. H. & HATAM, G. 2012. Spatial analysis of eco-environmental risk factors of cutaneous leishmaniasis in Southern Iran. J Cutan Aesthet Surg, 5, 30-5.
ALVAR, J., VÉLEZ, I. D., BERN, C., HERRERO, M., DESJEUX, P., CANO, J., JANNIN, J., DEN BOER, M. & TEAM, W. L. C. 2012. Leishmaniasis worldwide and global estimates of its incidence. PloS one, 7, e35671.
ANGULO, J. M. & RUIZ-MEDINA, M. D. 2008. Spatio-temporal modeling of environmental and health processes. Stochastic Environmental Research and Risk Assessment, 22, 1-2.
ARIFIN, S. N., MADEY, G. R. & COLLINS, F. H. 2013. Examining the impact of larval source management and insecticide-treated nets using a spatial agent-based model of Anopheles gambiae and a landscape generator tool. Malar J, 12, 10.1186.
ARJMAND, R., SABERI, S., TOLOUEI, S., CHIZARI, Z., NOBARI, R. F., FARD, S. S., AKBARI, M. & HEJAZI, S. H. 2014. Identification of Leishmania isolates from Varzaneh city, Isfahan province, Iran using nested polymerase chain reaction method. Advanced Biomedical Research, 3, 167.
BARHOUMI, W., QUALLS, W. A., ARCHER, R. S., FULLER, D. O., CHELBI, I., CHERNI, S., DERBALI, M., ARHEART, K. L., ZHIOUA, E. & BEIER, J. C. 2015. Irrigation in the arid regions of Tunisia impacts the abundance and apparent density of sand fly vectors of Leishmania infantum. Acta Tropica, 141, Part A, 73-78.
BARNES, D. J. & CHU, D. 2010. Introduction to modeling for biosciences, Springer Science & Business Media.
BARRETT, F. A. 2000. Finke's 1792 map of human diseases: the first world disease map? Social Science & Medicine, 50, 915-921.
BAZGHANDI, A. 2012. Techniques, advantages and problems of agent based modeling for traffic simulation. International Journal of Computer Science, 9, 115-119.
BERGQUIST, R. & RINALDI, L. 2010. Health research based on geospatial tools: a timely approach in a changing environment. Journal of helminthology, 84, 1-11.
BERKE, O. 2001. Choropleth mapping of regional count data of Echinococcus multilocularis among red foxes in Lower Saxony, Germany. Preventive Veterinary Medicine, 52, 119-131.
BIGGERI, A., CATELAN, D., RINALDI, L., DREASSI, E., LAGAZIO, C. & CRINGOLI, G. 2005. Statistical modelling of the spatial distribution of prevalence of Calicophoron daubneyi infection in sheep from central Italy. Parassitologia, 47, 157-163.
Disease susceptibility mapping using spatial modeling techniques
23
BIGGERI, A., DREASSI, E., CATELAN, D., RINALDI, L., LAGAZIO, C. & CRINGOLI, G. 2006. Disease mapping in veterinary epidemiology: a Bayesian geostatistical approach. Statistical Methods in Medical Research, 15, 337-352.
BIRKIN, M. & WU, B. 2012. A Review of Microsimulation and Hybrid Agent-Based Approaches. In: HEPPENSTALL, A. J., CROOKS, A. T., SEE, L. M. & BATTY, M. (eds.) Agent-Based Models of Geographical Systems. Springer Netherlands.
BONABEAU, E. 2002. Agent-based modeling: Methods and techniques for simulating human systems. Proceedings of the National Academy of Sciences, 99, 7280-7287.
BROOKER, S. & MICHAEL, E. 2000. The potential of geographical information systems and remote sensing in the epidemiology and control of human helminth infections. Advances in parasitology, 47, 245-288.
BUDKE, C. M., JIAMIN, Q., CRAIG, P. S. & TORGERSON, P. R. 2005. Modeling the transmission of Echinococcus granulosus and Echinococcus multilocularis in dogs for a high endemic region of the Tibetan plateau. International journal for parasitology, 35, 163-170.
CHAVES, L. F., CALZADA, J. E., VALDERRAMA, A. & SALDANA, A. 2014. Cutaneous leishmaniasis and sand fly fluctuations are associated with el nino in panama. PLoS Negl Trop Dis, 8, e3210.
CHAVES, L. F. & HERNANDEZ, M.-J. 2004. Mathematical modelling of American Cutaneous Leishmaniasis: incidental hosts and threshold conditions for infection persistence. Acta Tropica, 92, 245-252.
CHAVES, L. F. & PASCUAL, M. 2006. Climate cycles and forecasts of cutaneous leishmaniasis, a nonstationary vector-borne disease. PLoS Med, 3, e295.
CRINGOLI, G., RINALDI, L., VENEZIANO, V. & CAPELLI, G. 2001. A prevalence survey and risk analysis of filariosis in dogs from the Mt. Vesuvius area of southern Italy. Veterinary parasitology, 102, 243-252.
CRINGOLI, G., RINALDI, L., VENEZIANO, V., CAPELLI, G. & MALONE, J. 2002. A cross-sectional coprological survey of liver flukes in cattle and sheep from an area of the southern Italian Apennines. Veterinary parasitology, 108, 137-143.
CROOKS, A. & HEPPENSTALL, A. 2012. Introduction to Agent-Based Modelling. In: HEPPENSTALL, A. J., CROOKS, A. T., SEE, L. M. & BATTY, M. (eds.) Agent-Based Models of Geographical Systems. Springer Netherlands.
CROOKS, A. T. & HAILEGIORGIS, A. B. 2014. An agent-based modeling approach applied to the spread of cholera. Environmental Modelling & Software, 62, 164-177.
CUZICK, J. & EDWARDS, R. 1990. Spatial clustering for inhomogeneous populations. Journal of the Royal Statistical Society. Series B (Methodological), 73-104.
DESJEUX, P. 2004. Leishmaniasis. Nat Rev Microbiol, 2, 692. DION, E., VANSCHALKWYK, L. & LAMBIN, E. F. 2011. The landscape epidemiology of foot-and-
mouth disease in South Africa: A spatially explicit multi-agent simulation. Ecological Modelling, 222, 2059-2072.
DURR, P., TAIT, N. & LAWSON, A. 2005. Bayesian hierarchical modelling to enhance the epidemiological value of abattoir surveys for bovine fasciolosis. Preventive veterinary medicine, 71, 157-172.
ELLIOT, P., WAKEFIELD, J. C., BEST, N. G. & BRIGGS, D. 2000. Spatial epidemiology: methods and applications, Oxford University Press.
ELLIOTT, P. & WARTENBERG, D. 2004. Spatial epidemiology: current approaches and future challenges. Environmental health perspectives, 998-1006.
EMAMI, M. M., YAZDI, M. & NILFOROUSHZADEH, M. 2009. Emergence of cutaneous leishmaniasis due to Leishmania major in a new focus of central Iran. Transactions of the Royal Society of Tropical Medicine and Hygiene, 103, 1257-1262.
EPSTEIN, J. M. 2009. Modelling to contain pandemics. Nature, 460, 687-687.
Disease susceptibility mapping using spatial modeling techniques
24
EPSTEIN, J. M., CUMMINGS, D. A., CHAKRAVARTY, S., SINGA, R. M. & BURKE, D. S. 2002. Toward a containment strategy for smallpox bioterror: an individual-based computational approach.
EUBANK, S., GUCLU, H., ANIL KUMAR, V. S., MARATHE, M. V., SRINIVASAN, A., TOROCZKAI, Z. & WANG, N. 2004. Modelling disease outbreaks in realistic urban social networks. Nature, 429, 180-184.
FILATOVA, T., VERBURG, P. H., PARKER, D. C. & STANNARD, C. A. 2013. Spatial agent-based models for socio-ecological systems: challenges and prospects. Environmental modelling & software, 45, 1-7.
GÁLVEZ, R., DESCALZO, M. A., MIRÓ, G., JIMÉNEZ, M. I., MARTÍN, O., DOS SANTOS-BRANDAO, F., GUERRERO, I., CUBERO, E. & MOLINA, R. 2010. Seasonal trends and spatial relations between environmental/meteorological factors and leishmaniosis sand fly vector abundances in Central Spain. Acta Tropica, 115, 95-102.
GARNI, R., TRAN, A., GUIS, H., BALDET, T., BENALLAL, K., BOUBIDI, S. & HARRAT, Z. 2014. Remote sensing, land cover changes, and vector-borne diseases: Use of high spatial resolution satellite imagery to map the risk of occurrence of cutaneous leishmaniasis in Ghardaïa, Algeria. Infection, Genetics and Evolution, 28, 725-734.
GENCHI, C., RINALDI, L., MORTARINO, M., GENCHI, M. & CRINGOLI, G. 2009. Climate and Dirofilaria infection in Europe. Veterinary parasitology, 163, 286-292.
GREEN, M., BURTON, P., GREEN, L., SCHUKKEN, Y., BRADLEY, A., PEELER, E. & MEDLEY, G. 2004. The use of Markov chain Monte Carlo for analysis of correlated binary data: patterns of somatic cells in milk and the risk of clinical mastitis in dairy cows. Preventive veterinary medicine, 64, 157-174.
HANDMAN, E. 2001. Leishmaniasis: current status of vaccine development. Clin Microbiol Rev, 229–243.
HENDRICKX, G., BIESEMANS, J. & DE DEKEN, R. 2004. The use of GIS in veterinary parasitology. GIS and spatial analysis in veterinary science, 145-176.
KARIMI, A., HANAFI-BOJD, A. A., YAGHOOBI-ERSHADI, M. R., AKHAVAN, A. A. & GHEZELBASH, Z. 2014. Spatial and temporal distributions of phlebotomine sand flies (Diptera: Psychodidae), vectors of leishmaniasis, in Iran. Acta Tropica, 132, 131-139.
KASSEM, H. A., SIRI, J., KAMAL, H. A. & WILSON, M. L. 2012. Environmental factors underlying spatial patterns of sand flies (Diptera: Psychodidae) associated with leishmaniasis in southern Sinai, Egypt. Acta Tropica, 123, 8-15.
KELLY, R. A., JAKEMAN, A. J., BARRETEAU, O., BORSUK, M. E., ELSAWAH, S., HAMILTON, S. H., HENRIKSEN, H. J., KUIKKA, S., MAIER, H. R. & RIZZOLI, A. E. 2013. Selecting among five common modelling approaches for integrated environmental assessment and management. Environmental Modelling & Software, 47, 159-181.
KOCH, T. & DENIKE, K. 2009. Crediting his critics' concerns: Remaking John Snow's map of Broad Street cholera, 1854. Social science & medicine, 69, 1246-1251.
KUMAR, A. 2013. Introduction. Leishmania and Leishmaniasis. Springer New York. LAWSON, A. & ZHOU, H. 2005. Spatial statistical modeling of disease outbreaks with particular
reference to the UK foot and mouth disease (FMD) epidemic of 2001. Preventive veterinary medicine, 71, 141-156.
LAWSON, A. B. 2013. Statistical methods in spatial epidemiology, John Wiley & Sons. LEWNARD, J. A., JIRMANUS, L., JUNIOR, N. N., MACHADO, P. R., GLESBY, M. J., KO, A. I.,
CARVALHO, E. M., SCHRIEFER, A. & WEINBERGER, D. M. 2014. Forecasting temporal dynamics of cutaneous leishmaniasis in Northeast Brazil. PLoS Negl Trop Dis, 8, e3283.
LIANG, S., SETO, E. Y., REMAIS, J. V., ZHONG, B., YANG, C., HUBBARD, A., DAVIS, G. M., GU, X., QIU, D. & SPEAR, R. C. 2007. Environmental effects on parasitic disease transmission exemplified by schistosomiasis in western China. Proceedings of the National Academy of Sciences, 104, 7110-7115.
Disease susceptibility mapping using spatial modeling techniques
25
LINARD, C., PONÇON, N., FONTENILLE, D. & LAMBIN, E. F. 2009. A multi-agent simulation to assess the risk of malaria re-emergence in southern France. Ecological Modelling, 220, 160-174.
LOURENÇO, J. & RECKER, M. 2013. Natural, Persistent Oscillations in a Spatial Multi-Strain Disease System with Application to Dengue. PLoS Comput Biol, 9, e1003308.
MABASO, M. L., VOUNATSOU, P., MIDZI, S., DA SILVA, J. & SMITH, T. 2006. Spatio-temporal analysis of the role of climate in inter-annual variation of malaria incidence in Zimbabwe. International Journal of Health Geographics, 5, 20.
MALONE, J. 2005. Biology-based mapping of vector-borne parasites by geographic information systems and remote sensing. Parassitologia, 47, 27-50.
MOLLALO, A., ALIMOHAMMADI, A., SHAHRISVAND, M., REZA SHIRZADI, M. & REZA MALEK, M. 2014. Spatial and statistical analyses of the relations between vegetation cover and incidence of cutaneous leishmaniasis in an endemic province, northeast of Iran. Asian Pacific Journal of Tropical Disease, 4, 176-180.
MOLLALO, A., ALIMOHAMMADI, A., SHIRZADI, M. R. & MALEK, M. R. 2015. Geographic Information System-Based Analysis of the Spatial and Spatio-Temporal Distribution of Zoonotic Cutaneous Leishmaniasis in Golestan Province, North-East of Iran. Zoonoses and Public Health, 62, 18-28.
MORENS, D. M., FOLKERS, G. K. & FAUCI, A. S. 2004. The challenge of emerging and re-emerging infectious diseases. Nature, 430, 242-249.
MOTT, K. E., NUTTALL, I., DESJEUX, P. & CATTAND, P. 1995. New geographical approaches to control of some parasitic zoonoses. Bulletin of the World Health Organization, 73, 247-257.
NADIM, A. & FAGHIH, M. 1968. The epidemiology of cutaneous leishmaniasis in the Isfahan province of Iran: I. The reservoir II. The human disease. Transactions of the Royal Society of Tropical Medicine and Hygiene, 62, 534-542.
O'SULLIVAN, D. 2001. Exploring Spatial Process Dynamics Using Irregular Cellular Automaton Models. Geographical Analysis, 33, 1-18.
OSHAGHI, M. A., RASOLIAN, M., SHIRZADI, M. R., MOHTARAMI, F. & DOOSTI, S. 2010. First report on isolation of Leishmania tropica from sandflies of a classical urban Cutaneous leishmaniasis focus in southern Iran. Experimental parasitology, 126, 445-450.
PATLOLLA, P., GUNUPUDI, V., MIKLER, A. & JACOB, R. 2006. Agent-Based Simulation Tools in Computational Epidemiology. In: BÖHME, T., LARIOS ROSILLO, V., UNGER, H. & UNGER, H. (eds.) Innovative Internet Community Systems. Springer Berlin Heidelberg.
PEREZ, L. & DRAGICEVIC, S. 2009. An agent-based approach for modeling dynamics of contagious disease spread. International Journal of Health Geographics, 8, 50-50.
PEZESHKI, Z., TAFAZZOLI-SHADPOUR, M., MANSOURIAN, A., ESHRATI, B., OMIDI, E. & NEJADQOLI, I. 2012. Model of cholera dissemination using geographic information systems and fuzzy clustering means: Case study, Chabahar, Iran. Public health, 126, 881-887.
PFEIFFER, D. U. 2004. Geographical information science and spatial analysis in animal health. GIS and spatial analysis in veterinary science, 119-144.
PONGSUMPUN, P., GARCIA LOPEZ, D., FAVIER, C., TORRES, L., LLOSA, J. & DUBOIS, M. 2008. Dynamics of dengue epidemics in urban contexts. Tropical Medicine & International Health, 13, 1180-1187.
PORWAL, A., CARRANZA, E. & HALE, M. 2003. Knowledge-driven and data-driven fuzzy models for predictive mineral potential mapping. Natural Resources Research, 12, 1-25.
RABINOVICH, J. E. & FELICIANGELI, M. D. 2004. PARAMETERS OF LEISHMANIA BRAZILIENSIS TRANSMISSION BY INDOOR LUTZOMYIA OVALLESI IN VENEZUELA. The American Journal of Tropical Medicine and Hygiene, 70, 373-382.
RACLOZ, V., VENTER, G., GRIOT, C. & STÄRK, K. 2008. Estimating the temporal and spatial risk of bluetongue related to the incursion of infected vectors into Switzerland. BMC veterinary research, 4, 42.
Disease susceptibility mapping using spatial modeling techniques
26
RAO, D. M., CHERNYAKHOVSKY, A. & RAO, V. 2009. Modeling and analysis of global epidemiology of avian influenza. Environmental Modelling & Software, 24, 124-134.
READY, P. 2008. Leishmaniasis emergence and climate change. Revue scientifique et technique (International Office of Epizootics), 27, 399-412.
RINALDI, L., MUSELLA, V., BIGGERI, A. & CRINGOLI, G. 2006. New insights into the application of geographical information systems and remote sensing in veterinary parasitology. Geospatial health, 1, 33-47.
RODRÍGUEZ, E.-M., DÍAZ, F. & PÉREZ, M.-V. 2013. Spatio-temporal clustering of American Cutaneous Leishmaniasis in a rural municipality of Venezuela. Epidemics, 5, 11-19.
SALAH, A. B., KAMARIANAKIS, Y., CHLIF, S., ALAYA, N. B. & PRASTACOS, P. 2007. Zoonotic cutaneous leishmaniasis in central Tunisia: spatio–temporal dynamics. International Journal of Epidemiology, 36, 991-1000.
SALAHI-MOGHADDAM, A., MOHEBALI, M., MOSHFAE, A. & HABIBI, M. 2010. Ecological study and risk mapping of visceral leishmaniasis in an endemic area of Iran based on a geographical information systems approach. Geospatial health, 5, 71-77.
SEID, A., GADISA, E., TSEGAW, T., ABERA, A., TESHOME, A., MULUGETA, A., HERRERO, M., ARGAW, D., JORGE, A., KEBEDE, A. & ASEFFA, A. 2014. Risk map for cutaneous leishmaniasis in Ethiopia based on environmental factors as revealed by geographical information systems and statistics. Geospat Health, 8, 377-87.
SIMOES, J. 2012. An Agent-Based/Network Approach to Spatial Epidemics. In: HEPPENSTALL, A. J., CROOKS, A. T., SEE, L. M. & BATTY, M. (eds.) Agent-Based Models of Geographical Systems. Springer Netherlands.
SNOW, J. 1855. On the mode of communication of cholera, John Churchill. STEVENSON, L. G. 1965. Putting disease on the map: the early use of spot maps in the study of yellow
fever. Journal of the History of Medicine and Allied Sciences, 20, 226-261. SWAMINATH, C., SHORTT, H. & ANDERSON, L. 2006. Transmission of Indian kala-azar to man by
the bites of Phlebotomus argentipes, ann and brun. Indian J Med Res, 123, 473–477. TAKKEN, W. & KNOLS, B. G. 2007. Emerging pests and vector-borne diseases in Europe, Wageningen
Academic Pub. TU, J. V. 1996. Advantages and disadvantages of using artificial neural networks versus logistic
regression for predicting medical outcomes. Journal of clinical epidemiology, 49, 1225-1231. VAN DYKE PARUNAK, H., SAVIT, R. & RIOLO, R. 1998. Agent-Based Modeling vs. Equation-Based
Modeling: A Case Study and Users’ Guide. In: SICHMAN, J., CONTE, R. & GILBERT, N. (eds.) Multi-Agent Systems and Agent-Based Simulation. Springer Berlin Heidelberg.
VIGNOLLES, C., LACAUX, J.-P., TOURRE, Y. M., BIGEARD, G., NDIONE, J.-A. & LAFAYE, M. 2009. Rift Valley fever in a zone potentially occupied by Aedes vexans in Senegal: dynamics and risk mapping. Geospatial health, 3, 211-220.
WU, X.-H., WANG, X.-H., UTZINGER, J., YANG, K., KRISTENSEN, T. K., BERGQUIST, R., ZHAO, G.-M., DANG, H. & ZHOU, X.-N. 2007. Spatio-temporal correlation between human and bovine schistosomiasis in China: insight from three national sampling surveys. Geospatial health, 2, 75-84.
YU, H.-L. & CHRISTAKOS, G. 2006. Spatiotemporal modelling and mapping of the bubonic plague epidemic in India. International journal of health geographics, 5, 12.
ZADEH, L. A. 1965. Fuzzy sets. Information and control, 8, 338-353.