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

citation_journal_title=Plant Disease; citation_title=The Aerobiology of Apple Scab; citation_author=D. E. Aylor; citation_volume=82; citation_issue=8; citation_publication_date=1998; citation_pages=838-849; citation_doi=10.1094/PDIS.1998.82.8.838; citation_id=CR1 citation_journal_title=Agricultural and Forest Meteorology; citation_title=Biophysical Scaling and the Passive Dispersal of Fungus Spores: Relationship to Integrated Pest Management; citation_author=D. E. Aylor; citation_volume=97; citation_publication_date=1999; citation_pages=275-292; citation_doi=10.1016/S0168-1923(99)00072-6; citation_id=CR2 citation_journal_title=Annual Review of Phytopathology; citation_title=Revision of the Nomenclature of the Differential Host–Pathogen Interactions of Venturia inaequalis and Malus; citation_author=V. G. M. Bus, E. H. A. Rikkerink, V. Caffier, C. E. Durel, K. M. Plummers; citation_volume=49; citation_publication_date=2011; citation_pages=391-413; citation_doi=10.1146/annurev-phyto-072910-095339; citation_id=CR3 citation_journal_title=IOBC-WPRS Bulletin; citation_title=Efficiency of Association of Scab Control Methods on Resistance Durability of Apple: The Case Study of Cultivar Ariane; citation_author=V. Caffier, F. Didelot, G. Orain, A. Lemarquand, L. Parisi; citation_volume=54; citation_publication_date=2010; citation_pages=327-330; citation_id=CR4 citation_journal_title=Biometrics; citation_title=Modélisation Spatio-Temporelle d’Une Épidémie par un Processus de Gibbs: Estimation et Tests; citation_author=J. Chadoeuf, D. Nandris, J. P. Geiger, M. Nicole, J. C. Pierrat; citation_volume=48; citation_publication_date=1992; citation_pages=1165-1175; citation_doi=10.2307/2532707; citation_id=CR5 citation_title=Statistics for Spatio-Temporal Data; citation_publication_date=2011; citation_id=CR6; citation_author=N. Cressie; citation_author=C. K. Wikle; citation_publisher=Wiley citation_title=An Introduction to the Theory of Point Processes: Volume I: Elementary Theory and Methods; citation_publication_date=2003; citation_id=CR7; citation_author=D. J. Daley; citation_author=D. Vere-Jones; citation_publisher=Springer citation_journal_title=IOBC-WPRS Bulletin; citation_title=Integrating Scab Control Methods With Partial Effects in Apple Orchards: The Association of Cultivar Resistance, Sanitation and Reduced Fungicide Schedules; citation_author=F. Didelot, V. Caffier, M. Baudin, G. Orain, A. Lemarquand, L. Parisi; citation_volume=54; citation_publication_date=2010; citation_pages=525-528; citation_id=CR8 citation_title=Markov Chain Monte Carlo, Stochastic Simulation for Bayesian Inference; citation_publication_date=2006; citation_id=CR9; citation_author=D. Gamerman; citation_author=H. F. Lopes; citation_publisher=Chapman and Hall/CRC citation_journal_title=Statistical Science; citation_title=Inference From Iterative Simulation Using Multiple Sequences; citation_author=A. Gelman, D. B. Rubin; citation_volume=7; citation_publication_date=1992; citation_pages=457-511; citation_doi=10.1214/ss/1177011136; citation_id=CR10 citation_journal_title=Statistical Science; citation_title=Practical Markov Chain Monte Carlo; citation_author=C. J. Geyer; citation_volume=7; citation_issue=4; citation_publication_date=1992; citation_pages=473-483; citation_doi=10.1214/ss/1177011137; citation_id=CR11 citation_journal_title=Applied Statistics; citation_title=Markov Chain Monte Carlo Methods for Fitting Spatiotemporal Stochastic Models in Plant Epidemiology; citation_author=G. J. Gibson; citation_volume=46; citation_publication_date=1997; citation_pages=215-233; citation_doi=10.1111/1467-9876.00061; citation_id=CR12 citation_journal_title=Statistics; citation_title=Space-Time Estimation of a Particle System Model; citation_author=X. Guyon, B. Pumo; citation_volume=41; citation_issue=5; citation_publication_date=2007; citation_pages=395-407; citation_doi=10.1080/02331880701399074; citation_id=CR13 citation_title=Statistical Analysis and Modelling of Spatial Point Patterns; citation_publication_date=2008; citation_id=CR14; citation_author=J. Illian; citation_author=A. Penttinen; citation_author=H. Stoyan; citation_author=D. Stoyan; citation_publisher=Wiley citation_title=Continuous Univariate Distributions; citation_publication_date=1995; citation_id=CR15; citation_author=N. L. Johnson; citation_author=S. Kotz; citation_author=N. Balakrishnan; citation_publisher=Wiley-Interscience citation_journal_title=Acta Horticulturae; citation_title=Evaluation of Tree Genetic Resources as Sources of Polygenic Scab Resistance in an Apple Breeding Programme; citation_author=M. Lateur, C. Wagemans, C. Populer; citation_volume=484; citation_publication_date=1998; citation_pages=35-42; citation_id=CR16 citation_title=The Study of Plant Disease Epidemics; citation_publication_date=2007; citation_id=CR17; citation_author=L. V. Madden; citation_author=G. Hughes; citation_author=F. Bosch; citation_publisher=The American Phytopathological Society. APS Press Mills, W. D., and Laplante, A. A. (1951), “Diseases and Insects in the Orchard.” Cornell Extension Bulletin, 711. citation_journal_title=Journal of the Royal Statistical Society. Series B; citation_title=Spatial Contact Models for Ecological and Epidemic Spread; citation_author=D. Mollison; citation_volume=39; citation_publication_date=1977; citation_pages=283-326; citation_id=CR19 citation_journal_title=Adalia; citation_title=La Tavelure du Pommier, Conduite D’une Protection Raisonnée; citation_author=J. M. Olivier; citation_volume=1; citation_publication_date=1986; citation_pages=3-19; citation_id=CR20 citation_journal_title=Journal of the Royal Statistical Society. Series B; citation_title=Continuous Time Modelling of Dynamical Spatial Lattice Data Observed at Sparsely Distributed Times; citation_author=J. G. Rasmussen, J. Moller, B. H. Aukema, K. F. Raffa, J. Zhu; citation_volume=69; citation_issue=4; citation_publication_date=2007; citation_pages=701-713; citation_doi=10.1111/j.1467-9868.2007.00608.x; citation_id=CR21 citation_title=Monte Carlo Statistical Methods; citation_publication_date=2004; citation_id=CR22; citation_author=C. P. Robert; citation_author=G. Casella; citation_publisher=Springer citation_journal_title=The Annals of Applied Probability; citation_title=Weak Convergence and Optimal Scaling of Random Walk Metropolis Algorithms; citation_author=G. O. Roberts, A. Gelman, W. R. Gilks; citation_volume=7; citation_publication_date=1997; citation_pages=110-120; citation_doi=10.1214/aoap/1034625254; citation_id=CR23 citation_journal_title=The American Naturalist; citation_title=Spatiotemporal Structure of Host–Pathogen Interactions in a Metapopulation; citation_author=S. Soubeyrand, A.-L. Laine, I. Hanski, A. Penttinen; citation_volume=174; citation_publication_date=2009; citation_pages=308-320; citation_doi=10.1086/603624; citation_id=CR24 citation_title=Plant Diseases: Epidemics and Control; citation_publication_date=1963; citation_id=CR25; citation_author=J. E. Plank; citation_publisher=Academic Press citation_journal_title=Nouveaux Mémoires de l’Académie Royale des Sciences et Belles-Lettres de Bruxelles; citation_title=Recherches Mathématiques sur la Loi D’accroissement de la Population; citation_author=P.-F. Verhulst; citation_volume=18; citation_publication_date=1845; citation_pages=1-41; citation_id=CR26 citation_journal_title=Journal of the American Statistical Association; citation_title=Spatial-Temporal Modeling of Forest Gaps Generated by Colonization From Below- and Above-Ground Bark Beetle Species; citation_author=J. Zhu, J. G. Rasmussen, J. Moller, B. Aukema, K. F. Raffa; citation_volume=103; citation_issue=481; citation_publication_date=2008; citation_pages=162-177; citation_doi=10.1198/016214507000000842; citation_id=CR27