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Top1. Introduction
Predictive epidemiology refers to the analytical study of disease dynamics to predict future outbreaks in space and time so that effective mitigation strategies can be implemented to curb the recurrence of epidemics. Since epizootic diseases like the Foot and Mouth Disease (FMD) raise several political, administrative, economic and welfare issues, it is imperative to analyze the disease dynamics to facilitate adequate preventive measures, especially in countries that report recurring epidemic outbreaks instances. Since the FMD outbreak in the United Kingdom in 2001, several analytical spatio-temporal models have been developed to spatially locate such epidemic outbreaks in time (Morris et al., 2001 ; Bates et al., 2003a, 2003b; Carpenter et al., 2004; Ferguson et al., 2001; Keeling et al., 2001). However, it is important to address that spatio-temporal models have parameters of a possibly global structure. Such structures allow region-independence and adaptability of the models by taking information regarding the environment and neighborhood of geographical locations expressed in terms of model parameters. But, in the absence of the sensitive spatial parameters, we attempt to train a learning-based model on a certain regional data with latent parameters to mimic the predictive performance of spatial predictive models. The novel contribution of this paper is that we study local information regarding the temporal evolution of infection that is hard-coded in geographical regions, by using different learning- based models. Additionally, we simulate instances of mitigations strategies to study the cost-effectiveness of culling, vaccination and movement strategies to reduce the total number of infected livestock at the end of a period under study. Also, the utility function to assess the cost-effectiveness of mitigation strategies is defined in terms of the percentage reduction in the total number of infected livestock to the total cost incurred in million US dollars.
Numerous learning-based models have been developed so far to achieve temporal epidemic predictions. For example, neural network models have been argued to effectively model the dynamics of temporal data (Abidi1 & Goh, 2006), while time series models have been applied for forecasting the incidences of influenza-like illnesses (ILI) in France (Hawksworth et al., 2003). Also, Bayesian networks are useful for reasoning under uncertainty in artificial intelligence which not only detects an outbreak, but also estimates how acute the epidemic is (Lagazio et al., 2001; Jiang & Wallstrom, 2006). Regressive models have also been implemented to fit and predict outbreak related data (Kobayashi et al., 2007a, 2007b). Additionally, learning-based prediction models have found their importance in predicting wheat leaf wetness (Francl & Panigrahi, 1997; Chtioui et al., 1999), soy- rust in plants (Alexandersen et al., 1997) and critical diseases like influenza (Viboud et al., 2003), malaria (Krishnamurti et al., 2007; Brit et al., 2008) and SARS (Lai, 2005) in humans. However, such models have not found any application in prediction of global epizootic epidemics like FMD so far. Our study aims at analyzing the temporal prediction capability of various temporal prediction models and applying them for spatial predictions of FMD epidemic outbreaks in time.