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Bayesian spatial modelling of disease vector data on Danish farmland Carsten Kirkeby Gerard Heuvelink Anders Stockmarr René Bødker
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Biting midges Culicoides obsoletus group Bloodsucking females 1400 species ~ 40 in Denmark 1-2mm Parasites: protozoans, nematodes Virus: African Horse Sickness, Akabane Virus etc. Institute of Animal Health UK
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Bluetongue virus Midge-borne Infects ruminants Northern Europe: 2006-2010 Symptoms: Fever, diarrhoea, reduced milk production Institute of Animal Health UK
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Schmallenberg virus Midge-borne Infects ruminants Northern Europe: 2011 - ? Symptoms: Fever, stillbirths, malformations, reduced milk production Institute of Animal Health UK
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Aim How are vectors distributed in farmland? Host animals Tree cover Temporal covariates High/low risk areas Optimization of vector surveillance Input for simulation models
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Field study x
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Data
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Analysis Count data
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Analysis Spatial component Your neighbours influence you, but you also influence your neighbours. Charles Manski
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Analysis Temporal component t t-1
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Analysis R: geoRglm package – GLGM kriging pois.krige.bayes() Bayesian kriging for the poisson spatial model Y ~ β + S(ρ) + ε β = + + + + day effect + lag 1
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Analysis Spatial correlation: Matérn covariance function Φ
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Analysis - separate
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Analysis - simultaneous
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Analysis - comparison -0.12 -0.33 0.07 0.008 Non-spatial Poisson regression
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Analysis - prediction 1 km
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Analysis – temporal covariates
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Findings Quantify effects of cattle and pigs No effect of forests Quantify temporal covariates Weak positive correlation with previous catch More vectors at the pig farm than the cattle farm
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Future Jackknife Validation on other dataset
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Acknowledgements Thanks: Ole Fredslund Christensen Astrid Blok van Witteloostuijn
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Thank you for your attention Carsten Kirkeby ckir@vet.dtu.dk
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