Anderson, R. M. and R. M. May (1979) Population biology of infectious diseases: part I.Nature 280: 361–367.
Anscombe, F. J. (1949) The statistical analysis of insect counts based on the negative binomial distribution.Biometrics 5: 165–173.
Atkinson, W. D. and B. Shorrocks (1981) Competition on a divided and ephemeral resource: a simulation model.Journal of Animal Ecology 50: 461–471.
Bliss, C. I. (1941) Statistical problems in estimating populations of Japanese beetle larvae.Journal of Economic Entomology 34: 221–232.
De Jong, G. (1979) The influence of the distribution of juveniles over patches of food on the dynamics of a population.Netherlands Journal of Zoology 29: 33–51.
Diekmann, O., J. A. P. Heesterbeek and J. A. J. Metz (1990) On the definition and the computation of the basic reproduction ratio R0 in models for infectious diseases in heterogeneous populations.Journal of Mathematical Biology 28: 365–382.
Ezuka, A. (1985) Rice varieties resistant to the rice stripe virus disease.Shokubutu Boeki (Plant Protection) 39: 520–524 (in Japanese).
Ferriss, R. S. and P. H. Berger (1993) A stochastic simulation model of epidemics of arthropod-vectored plant viruses.Phytopathology 83: 1269–1278.
Greig-Smith, P. (1952) The use of random and contiguous quadrats in the study of the structure of plant communities.Annals of Botany 16: 293–316.
Hassell, M. P. (1975) Density-dependence in single-species populations.Journal of Animal Ecology 44: 283–295.
Hassell, M. P. (1978)The dynamics of arthropod predator-prey systems. Princeton University Press, Princeton.
Hassell, M. P. (1980) Some consequences of habitat heterogeneity for population dynamics.Oikos 35: 150–160.
Hassell, M. P., R. M. May, S. W. Pacala and P. L. Chesson (1991) The persistence of host-parasitoid associations in patchy environments. I. A general criterion.American Naturalist 138: 568–583.
Hill, M. O. (1973) The intensity of spatial pattern in plant communities.Journal of Ecology 61: 225–235.
Holt, J. and T. C. B. Chancellor (1996) Simulation modelling of the spread of rice tungro virus disease: the potential for management by roguing.Journal of Applied Ecology 33: 927–936.
Holt, J. and T. C. B. Chancellor (1997) A model of plant virus disease epidemics in asynchronously-planted cropping systems.Plant Pathology 46: 490–501.
Hunter, A. F. (1995) Ecology, life history, and phylogeny of outbreak and nonoutbreak species, pp. 41–64. N. Cappuccino and P. W. Price (eds.)Population dynamics: new approaches and synthesis. Academic Press, San Diego.
Ibaraki Prefecture (1968–1990)Annual report of the survey for forecasting crop pests. Ibaraki Prefecture, Japan (in Japanese).
Ives, A. R. and R. M. May (1985) Competition within and between species in a patchy environment: relations between microscopic and macroscopic models.Journal of Theoretical Biology 115: 65–92.
Iwao, S. (1968) A new regression method for analyzing the aggregation pattern of animal populations.Researches on Population Ecology 10: 1–20.
Iwao, S. and E. Kuno (1971) An approach to the analysis of aggregation pattern in biological populations, pp. 461–513. G. P. Patil, E. C. Pielou and W. E. Waters (eds.)Statistical ecology, vol. 1: spatial patterns and statistical distributions. Pennsylvania State University Press, London.
Jeger, M. J. (1990) Mathematical analysis and modeling of spatial aspects of plant disease epidemics, pp. 53–95. J. Kranz (ed.)Epidemics of plant diseases. Springer, Berlin.
Kiritani, K., F. Nakasuji and S. Miyai (1987) Systems approaches for management of insect-borne rice diseases.Current Topics in Vector Research 3: 57–80.
Kisimoto, R. (1967) Genetic variation in the ability of a planthopper vector; Laodelphax striatellus (Fallen) to acquire the rice stripe virus.Virology 32: 144–152.
Kisimoto, R. (1993) Biology and monitoring of vectors in rice spripe epidemiology.ASPAC Food and Fertilizer Technology Center Extension Bulletin 373: 1–9.
Kisimoto, R. and Y. Yamada (1986) A planthopper-rice virus epidemiology model: Rice stripe and small brown planthopper, Laodelphax striatellus Fallén, pp. 327–344. G. D. McLean, R. G. Garrett and W. G. Ruesink (eds.)Plant virus epidemics: monitoring, modelling and predicting outbreaks. Academic Press, Sydney.
Kono, T. (1966) Changes in the proportion of infected insects in a vector population.Shokubutu Boeki (Plant Protection) 20: 131–136 (in Japanese).
Kuno, E. (1968) Studies on the population dynamics of rice leafhoppers in a paddy field. Bulletin of the Kyushu Agricultural Experiment Station14: 131–246 (in Japanese with English summary).
Kuno, E. (1983) Factors governing dynamical behaviour of insect populations: a theoretical inquiry.Researches on Population Ecology Supplement 3: 27–45.
Kuno, E. (1988) Aggregation pattern of individuals and the outcomes of competition within and between species: differential equation models.Researches on Population Ecology 30: 69–82.
Lloyd, M. (1967) ‘Mean crowding’.Journal of Animal Ecology 36: 1–30.
Madden, L. V., K. M. Reynolds, T. P. Pirone and B. Raccah (1988) Modeling of tobacco virus epidemics as spatio-temporal autoregressive integrated moving-average processes.Phytopathology 78: 1361–1366.
May, R. M. and R. M. Anderson (1979) Population biology of infectious diseases: part II.Nature 280: 455–461.
Maynard Smith, J. (1974)Models in ecology. Cambridge University Press, Cambridge.
Mead, R. (1974) A test for spatial pattern at several scales using data from a grid of contiguous quadrats.Biometrics 30: 295–307.
Morisita, M. (1959) Measuring of the dispersion of individuals and analysis of the distributional patterns.Memoirs of the Faculty of Science, Kyushu University, Series E (Biology) 2: 215–235.
Muramatsu, Y. (1979) A system dynamic model for epidemic of rice stripe virus.Bulletin of the Shizuoka Agricultural Experiment Station 24: 1–13 (in Japanese).
Murdoch, W. W. (1993) Individual-based models for predicting effects of global change, pp. 147–162. P. M. Kareiva, J. G. Kingsolver and R. B. Huey (eds.)Biotic interactions and global change. Sinauer, Sunderland.
Murdoch, W. W. and A. Stewart-Oaten (1989) Aggregation by parasitoids and predators: effects on equilibrium and stability.American Naturalist 134: 288–310.
Pacala, S. W. and M. P. Hassell (1991) The persistence of hostparasitoid associations in patchy environments. II. Evaluation of field data.American Naturalist 138: 584–605.
Pacala, S. W., M. P. Hassell and R. M. May (1990) Host-parasitoid associations in patchy environments.Nature 344: 150–153.
Reynolds, K. M. and L. V. Madden (1988) Analysis of epidemics using spatio-temporal autocorrelation.Phytopathology 78: 240–246.
Ripley, B. D. (1981)Spatial statistics. Wiley, New York.
Satō, K., H. Matsuda and A. Sasaki (1994) Pathogen invasion and host extinction in lattice structured populations.Journal of Mathematical Biology 32: 251–268.
Shinkai, A. (1962) Studies on insect transmission of rice virus diseases in Japan.Bulletin of the National Institute of Agricultural Sciences, Series C 14: 1–112 (in Japanese with English summary).
Stewart-Oaten, A. and W. W. Murdoch (1990) Temporal consequences of spatial density dependence.Journal of Animal Ecology 59: 1027–1045.
Taylor, L. R. (1961) Aggregation, variance and the mean.Nature 189: 732–735.
Thresh, J. M. (1976) Gradients of plant virus diseases.Annals of Applied Biology 82: 381–406.
Wright, S. (1943) Isolation by distance.Genetics 28: 114–138.
Yamada, W. and H. Yamamoto (1956) Studies on the stripe disease of rice plant. III. Host plants, incubation period in the rice plant and retention and overwintering of the virus in the insect,Delphacodes striatella Fallen.Special Bulletin of Okayama Prefectural Agricultural Experiment Station 55: 35–56 (in Japanese with English summary).
Yamamura, K. (1989) Effect of aggregation on the reproductive rate of populations.Researches on Population Ecology 31: 161–168.
Yoshida, T. (1966) Studies on the interspecific competition between bean weevils.Memoirs of the Faculty of Liberal Arts and Education Miyazaki University 20: 59–98.