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Modeling of superimposed spatial patterns of bacterial brown spot of snap bean



Modeling of superimposed spatial patterns of bacterial brown spot of snap bean



Phytopathology 83(4): 430-438



Snap bean plants within seven-row segments that ranged from 30 to 108 m were sampled using a 2,4-systematic sampling plan: Two adjacent plants were sampled and evaluated for bacterial brown spot (Pseudomonas syringae) four adjacent plants were skipped, two adjacent plants were sampled, etc. This sampling plan was developed using a priori knowledge of disease patterns in 5-m row segments. Every leaflet on every sampled plant was assessed for bacterial brown spot, and disease on these plants was quantified as the proportion of diseased leaflets per plant. Arcsine square root-transformed disease-incidence values were analyzed for spatial patterns using autoregressive integrated moving average (ARIMA) modelling. Three of seven data sets were described by a generalized ARIMA (101) model. These data sets exhibited the expected patterns of disease, based on previous descriptions of disease patterns in 5-m row segments. Of the remaining four data sets, one was modelled by an ARIMA (102) model, two by an ARIMA (103) model, and one by an ARIMA (104) model. These data sets exhibited the expected patterns, as well as additional patterns that recurred at intervals of six to 11, 12 to 17, or 18 to 23 plants, respectively. Significant autocorrelations at distances of six to 23 plants were also found in residuals from 24 to 55 5-m row segments evaluated for bacterial brown spot and modelled using ARIMA models. These patterns appear to occur frequently in commercial snap bean fields.

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