Fitting and testing spatio-temporal stochastic models with application in plant epidemiology

Plant Pathology

Volumn 45, Issue 2, 1996, Pages 172-184

  Gibson, G J ^a   Austin, E J ^a  

^a UNIVERSITY OF EDINBURGH   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EPIDEMIOLOGY; MODELLING; PLANT DISEASE; STOCHASTIC MODEL;

EID: 0029661772     PISSN: 00320862     EISSN: None     Source Type: Journal    
DOI: 10.1046/j.1365-3059.1996.d01-116.x     Document Type: Article

References (35)

1. Bennett RJ, 1979. Spatial Time Series. London: Pion Ltd.
2. Besag J, 1977. Discussion of 'Spatial contact models for ecological and epidemic spread' by D. Mollison. Journal of the Royal Statistical Society B 39, 315-6.
3. Besag J. Green PJ, 1993. Spatial statistics and Bayesian computation. Journal of the Royal Statistical Society B 55, 25-37.
4. Box GEP, Jenkins GM, 1970. Time Series Analysis, Forecasting and Control. San Francisco: Holden-Day.
5. Brower RC, Furman MA, Moshe M, 1978. Critical exponents for the Reggeon quantum spin model. Physics Letters 76B, 213-9.
6. Buckland ST, Elston DA, 1993. Empirical models for the spatial distribution of wildlife. Journal of Applied Ecology 30, 478-95.
7. Buttell L, Cox JT, Durrett R, 1993. Estimating the critical values of stochastic growth models. Journal of Applied Probability 30, 455-61.
8. Campbell CL, Madden LV, 1990. Introduction to Plant Disease Epidemiology. New York:Wiley.
9. Cliff AD, Ord JK, 1981: Spatial Processes: Models and Applications. London: Pion Ltd.
10. Cox JT, Durrett R, 1981 Some limit theorems for percolation processes with necessary and sufficient conditions. Annals of Probability 9, 583-603.
11. Cox JT, Durrett R, 1988. Limit theorems for the spread of epidemics and forest fires. Stochastic Processes and their Applications 30, 171-91.
12. Draper D, 1995. Assessment and propagation of model uncertainty (with discussion). Journal of the Royal Statistical Society B 57, 45-97.
13. Fleiss JL, 1971. Measuring nominal scale agreement among many raters. Psychological Bulletin 76, 378-82.
14. Fleming RA, Marsh LM, Tuckwell HC, 1982. Effect of field geometry on the spread of crop disease. Protection Ecology 4, 81-108.
15. Geman S, Geman D, 1984. Stochastic relaxation, Gibb's distribution and the Bayesian restoration of images. IEEE Trans. Pattern Analysis and Machine Intelligence 6, 721-41.
16. Goleniewski G, Newton AC, 1994. Modelling the spread of fungal diseases using a nearest neighbour approach: effect of geometrical arrangement. Plant Pathology 43, 631-43.
17. Gottwald TR, Reynolds KM, Campbell CL, Timmer LW, 1992. Spatial and spatiotemporal autocorrelation analysis of citrus canker epidemics in citrus nurseries and groves in Argentina. Phytopathology 82, 843-51.
18. Hassell PH, Comins HN, May, RM 1987. Spatial structure and chaos in insect population dynamics. Nature 353, 255-8.
19. Hughes G, Madden LV, 1993. Using the beta-binomial distribution to describe aggregated patterns of disease incidence. Phytopathology 83, 759-63.
20. Lee TCM, Cowan R, 1994. A stochastic tessellation of digital space. In: Serra J, Soille P, eds. Mathematical Morphology and Its Applications to Image Processing. The Netherlands: Kluwer Academic Publishers, 217-24.
21. Marcus R, Svetlana F, Talpaz H, Salomon R, Bar-Joseph M, 1984. On the spatial distribution of citrus tristeza virus disease. Phytoparasitica 12, 45-52.
22. Mollison D, 1977. Spatial contact models for ecological and epidemic spread, (with discussion). Journal of the Royal Statistical Society B 39, 283-326.
23. Mollison D, 1986. Modelling biological invasions: chance, explanation, prediction, Philosophical Transactions of the Royal Society of London B 314, 675-93.
24. Ohtsuki T, Keyes T, 1986a. Biased percolation: forest fires with wind. Journal of Physics A 19, L281-7.
25. Ohtsuki T, Keyes T, 1986b. Kinetic growth percolation: epidemic processes with immunization. Physical Review A 33, 1223-32.
26. Reynolds KM, Madden LV, 1988a. Analysis of epidemics using spatio-temporal autocorrelation. Phytopathology 78, 240-6.
27. Reynolds KM, Madden LV, 1988b. Spatio-temporal analysis of epidemic development of leather rot of strawberry. Phytopathology 78, 246-52.
28. Ripley BD, 1987. Stochastic Simulation. New York, Chichester: Wiley.
29. Sato, K. Matsuda H, Sasaki A, 1994. Pathogen invasion and host extinction in lattice structured populations. Journal of Mathematical Biology 32, 251-68.
30. Shaw MW, 1994. Modeling stochastic processes in plant pathology. Annual Review of Phytopathology 32, 523-44.
31. Shaw MW, 1995. Simulation of population expansion and spatial pattern when individual dispersal distributions do not decline exponentially with distance. Proceedings of the Royal Society of London B 259, 243-8.
32. Smith DM, 1983. Maximum likelihood estimation of the parameters of the beta binomial distribution. Applied Statistics 32, 192-204.
33. Smyth GK, Chakraborty S, Clark RG, Pettitt AN, 1992. A stochastic model for anthracnose development in Stylosanthes scabra. Phytopathology 82, 1267-72.
34. Van den Bosch F, Verhaar MA, Buiel AAM, Hoogkarner W, Zadoks JC, 1990. Focus expansion in plant disease. IV: expansion rales in mixtures of resistant and susceptible hosts. Phytopathology 80, 598-602.
35. Zadoks JC, van den Bosch F, 1994. On the spread of plant disease: a theory on foci. Annual Review of Phytopathology 32, 503-21.