Models of the response of foliar parasites to the combined effects of temperature and duration of wetness.

Nonlinear descriptions of the component of the response due to temperature are less common. Empirical data are poorly described when a nonlinear equation characterizes the temperature response, but a simple power term characterizes the response to wetness duration (13,30). In this article, the development of intrinsically nonlinear models of the effects of wetness duration and temperature that incorporate prior information regarding each of the two constituent processes is described. A new method of characterizing the component of the response due to temperature is proposed. The relationship between the proposed models and previous models of the response to wetness duration and temperature is analyzed. Preliminary reports are available (18,19).

[1]  A.H.C. van Bruggen,et al.  Global warming and nonlinear growth: how important are changes in average temperature? , 1994 .

[2]  W. Elmer,et al.  Septoria Leaf Spot Lesion Density on Trap Plants Exposed at Varying Distances from Infected Tomatoes , 1996 .

[3]  R. O. Magie,et al.  The epidemiology and control of cherry leaf spot. , 1937 .

[4]  A. Kushalappa,et al.  Influence of temperature, leaf wetness, and high relative humidity duration on sporulation of Cercospora carotae on carrot leaves , 1993 .

[5]  Joseph Rotem,et al.  Chapter 15 – Climatic and Weather Influences on Epidemics , 1978 .

[6]  M. Shaw.  Effects of temperature, leaf wetness and cultivar on the latent period of Mycosphaerella graminicola on winter wheat , 1990 .

[7]  A. Jones,et al.  A model for detecting infection periods of Coccomyces hiemalis on sour cherry. , 1981 .

[8]  P. Waggoner.  Microclimate and Plant Disease , 1965 .

[9]  M. Shaw.  Effects of temperature and leaf wetness on Pyrenophora teres growing on barley cv. Sonja , 1986 .

[10]  R. Rowe,et al.  Effects of temperature and duration of surface wetness on spore production and infection of cucumbers by Didymella bryoniae , 1991 .

[11]  R. D. Brazee,et al.  Application of the diffusion equation for modelling splash dispersal of point-source pathogens. , 1991, The New phytologist.

[12]  P. H. Gregory.  Interpreting Plant Disease Dispersal Gradients , 1968 .

[13]  S. Analytis.  Über die Relation zwischen biologischer Entwicklung und Temperatur bei phytopathogenen Pilzen , 1977 .

[14]  K. Leonard,et al.  Effect of temperature, dew period, and age of leaves, spores, and source pustules on germination of bean rust urediospores. , 1981 .

[15]  J. O. Rawlings,et al.  Applied Regression Analysis , 1998 .

[16]  P. Waggoner.  Verification of a Model of Spore Germination at Variable, Moderate Temperatures , 1974 .

[17]  H. Aust,et al.  Microclimate in Relation to Epidemics of Powdery Mildew , 1986 .

[18]  Laurence V. Madden,et al.  Development of an infection efficiency model for Plasmopara viticola on American grape based on temperature and duration of leaf wetness. , 1988 .

[19]  J. Kranz,et al.  Mathematics and Statistics for Analyses in Epidemiology , 1990 .

[20]  Ross Darnell,et al.  A model for estimating infection levels of anthracnose disease of mango , 1984 .

[21]  J. Plank,et al.  Plant Diseases: Epidemics and Control , 1964 .

[22]  P. Bourke.  Use of Weather Information in the Prediction of Plant Disease Epiphytotics , 1970 .

[23]  M. J. Jeger,et al.  Analysing epidemics in time and space , 1983 .

[24]  W. Schuh,et al.  Effects of leaf wetness duration and temperature on development of black Sigatoka disease on banana infected by Mycosphaerella fijiensis var. difformis. , 1992 .

[25]  T. Sutton,et al.  Infulence of temperature and wetness duration on infection of apple leaves and virulence of different isolates of Alternaria mali , 1992 .

[26]  M. Jeger.  THE INFLUENCE OF ROOT GROWTH AND INOCULUM DENSITY ON THE DYNAMICS OF ROOT DISEASE EPIDEMICS: THEORETICAL ANALYSIS. , 1987, The New phytologist.

[27]  M. K. Beute,et al.  Influence of temperature and moisture on germination and germ tube elongation of Cercospora arachidicola , 1986 .

[28]  L. Huber,et al.  Comparative effect of temperature and interrupted wet periods on germination, penetration, and infection of Puccinia recondita f. sp. tritici and P. striiformis on wheat seedlings , 1995 .

[29]  W. Kaiser,et al.  Influence of temperature, wetness period, plant age, and inoculum concentration on infection and development of Ascochyta blight of chickpea , 1992 .

[30]  M. Barbetti.  Effects of temperature and humidity on diseases caused by Phoma medicaginis and Leptosphaerulina trifolixs in lucerne (Medicago sativa) , 1991 .

[31]  T. Sutton,et al.  Influence of temperature and moisture on germination of ascospores and conidia of Botryosphaeria obtusa , 1989 .

[32]  R. Latin,et al.  A model based on temperature and leaf wetness duration for establishment of alternaria leaf blight of muskmelon , 1992 .

[33]  T. Gillespie,et al.  Modeling Leaf Wetness in Relation to Plant Disease Epidemiology , 1992 .

[34]  C. Mundt.  A Modification of Gregory's Model For Describing Plant Disease Gradients , 1985 .

[35]  Y. Cohen.  The combined effects of temperature, leaf wetness, and inoculum concentration on infection of cucumbers with Pseudoperonospora cubensis. , 1977 .

[36]  Bruce D.L. Fitt,et al.  Early development of light leaf spot (Pyrenopeziza brassicae) on winter oilseed rape (Brassica napus) in relation to temperature and leaf wetness , 1995 .

[37]  K. B. Johnson.  Dose-response relationships and inundative biological control , 1994 .

[38]  B. Auld,et al.  The influence of environmental factors on anthracnose of Xanthium spinosum , 1988 .

[39]  D. Jowett,et al.  Non-linear Disease Progress Curves , 1974 .

[40]  H. Friesland,et al.  The Analysis of Weather Factors in Epidemiology , 1988 .

[41]  S. B. Fracker.  Progressive Intensification of Uncontrolled Plant-Disease Outbreaks , 1936 .

[42]  E. Montesinos,et al.  Dose-response models in biological control of plant pathogens : An empirical verification , 1996 .

[43]  L. Madden,et al.  Influence of temperature and wetness duration on infection of immature strawberry fruit by Phytophthora cactorum , 1985 .

[44]  D. Aylor.  Deposition gradients of urediniospores of Puccinia recondita near a source. , 1987 .

[45]  H. Scherm,et al.  Response surface models for germination and infection of Bremia lactucae, the fungus causing downy mildew of lettuce , 1993 .

[46]  L. Madden,et al.  Influence of temperature and wetness duration on infection of strawberry flowers by Botrytis cinerea and disease incidence of fruit originating from infected flowers , 1987 .

[47]  J. Marois,et al.  Development of an infection model for Botrytis bunch rot of grapes based on wetness duration and temperature. , 1995 .

[48]  W. Schuh.  Influence of temperature and leaf wetness period on conidial germination in vitro and infection of Cercospora kikuchii on soybean. , 1991 .

[49]  J. Rotem.  Relativity of Limiting and Optimum Inoculum Loads, Wetting Durations, and Temperatures for Infection by Phytophthora infestans , 1971 .

[50]  H. Schrodter.  Methodisches zur Bearbeitung phytometeoropathologischer Untersuchungen, dargestellt am Beispiel der Temperaturrelation1 , 1965 .

[51]  Laurence V. Madden,et al.  Introduction to Plant Disease Epidemiology , 1990 .

[52]  H. D. Knoble,et al.  A flexible model for studying plant disease progression. , 1980 .

[53]  L. Madden,et al.  Nonlinear Disease Progress Curves , 1990 .

[54]  B. Fitt,et al.  Construction of dispersal models , 1985 .