A Continuous Time-and-State Epidemic Model Fitted to Ordinal Categorical Data Observed on a Lattice at Discrete Times

  • Rémi Crété
  • Besnik Pumo
  • Samuel Soubeyrand
  • Frédérique Didelot
  • Valérie Caffier


We consider a spatio-temporal model to describe the spread of apple scab within an orchard composed of several plots. The model is defined on a regular lattice and evolves in continuous time. Based on ordinal categorical data observed only at some discrete instants, we adopt a continuous-time approach and apply a Bayesian framework for estimating unknown parameters.

Key Words

Spatial-temporal process Multivariate point process Markov Chain Monte Carlo Categorical data Bayesian inference Apple scab 


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Copyright information

© International Biometric Society 2013

Authors and Affiliations

  • Rémi Crété
    • 1
    • 2
  • Besnik Pumo
    • 3
  • Samuel Soubeyrand
    • 7
  • Frédérique Didelot
    • 4
    • 5
    • 6
  • Valérie Caffier
    • 4
    • 5
    • 6
  1. 1.UMR CNRS 6093 LAREMAUniversité d’AngersAngersFrance
  2. 2.Agrocampus Ouest—Centre d’AngersAngersFrance
  3. 3.Statistics, Statistical and Compter Science DepartmentAgrocampus Ouest—Centre d’AngersAngersFrance
  4. 4.INRA, UMR 1345IRHS (Institut de Recherche en Horticulture et Semences)BeaucouzéFrance
  5. 5.UMR 1345 IRHS, SFR 4207 QUASAVUniversité d’AngersAngersFrance
  6. 6.UMR 1345 IRHSAgroCampus OuestAngersFrance
  7. 7.UR546 Biostatistics and Spatial ProcessesINRAAvignonFrance

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