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Fitting of simple models for field disease progress data for the take‐all fungus
Author(s) -
BRASSETT P. R.,
GILLIGAN C. A.
Publication year - 1989
Publication title -
plant pathology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.928
H-Index - 85
eISSN - 1365-3059
pISSN - 0032-0862
DOI - 10.1111/j.1365-3059.1989.tb02159.x
Subject(s) - biology , host (biology) , population , logistic function , fungus , biological system , statistics , mathematics , botany , ecology , demography , sociology
The properties of a number of non‐linear models are considered in relation to the description and interpretation of curves for disease progress of soil‐borne pathogens. The curves include the logistic function, with and without allowance for growth of the host population, as well as ‘custom‐built’ models with and without algebraic solution. The custom‐built models are used to separate the epidemic into primary and secondary infection and allowance is made for growth of the host population and for decay of initial inoculum. The models are compared with a simple polynomial model. All models are fitted to two disease progress curves derived from an extensive data set for infection and disease of winter wheat by the take‐all fungus, Gaeumannomyces graminis var. tritici. The results are discussed in relation to the role of primary and secondary infection, decay of inoculum and growth of the host population on epidemic development