DOI: 10.5061/dryad.f2j8s
title: Data from: Invasiveness of plant pathogens depends on the spatial scale of host distribution

description: Plant diseases often cause serious yield losses in agriculture. A
 pathogen’s invasiveness can be quantified by the basic reproductive
 number, R0. Since pathogen transmission between host plants depends on the
 spatial separation between them, R0 is strongly influenced by the spatial
 scale of the host distribution.We present a proof of principle of a novel
 approach to estimate the basic reproductive number, R0, of plant pathogens
 as a function of the size of a field planted with crops and its aspect
 ratio. This general approach is based on a spatially explicit population
 dynamical model. The basic reproductive number was found to increase with
 the field size at small field sizes and to saturate to a constant value at
 large field sizes. It reaches a maximum in square fields and decreases as
 the field becomes elongated. This pattern appears to be quite general: it
 holds for dispersal kernels that decrease exponentially or faster, as well
 as for fat-tailed dispersal kernels that decrease slower than exponential
 (i.e., power-law kernels).We used this approach to estimate R0 in wheat
 stripe rust (an important disease caused by Puccinia striiformis), where
 we inferred both the transmission rates and the dispersal kernels from the
 measurements of disease gradients. For the two largest datasets, we
 estimated R0 of P. striiformis in the limit of large fields to be of the
 order of 30. We found that the spatial extent over which R0 changes
 strongly is quite fine-scaled (about 30 m of the linear extension of the
 field). Our results indicate that in order to optimize the spatial scale
 of deployment of fungicides or host resistances, the adjustments should be
 made at a fine spatial scale. We also demonstrated how the knowledge of
 the spatial dependence of R0 can improve recommendations with regard to
 fungicide treatment.
description: Hermiston 2002 stripe
 rust disease gradientThis file contains the
 disease gradient data from Hermiston 2002 experiment for stripe rust on
 wheat. The experiments were reported in [Sackett, K. E., and C. C. Mundt.
 2005. Primary disease gradients of wheat stripe rust in large field plots.
 Phytopathology 95:983–91.] 1st column: distance from the source of
 infection in feet. 2nd column: distance from the source of infection in
 meters. 3rd, 4th, 5th columns disease severity (percentage of leaf area
 infected) measurements in three replicate plots. This disease gradient is
 plotted in Figure 2(a).hermiston2002_repl.datMadras 2002 stripe rust disease gradientThis file contains the disease gradient data from Madras experiment for stripe rust on wheat. The experiments were reported in [Sackett, K. E., and C. C. Mundt. 2005. Primary disease gradients of wheat stripe rust in large field plots. Phytopathology 95:983–91.] 1st column: distance from the source of infection in feet. 2nd column: distance from the source of infection in meters. 3rd, 4th, 5th columns disease severity (percentage of leaf area infected) measurements in three replicate plots. This disease gradient is plotted in Figure 2(b).madras2002_repl.datDose response dependence for stripe rust controlled by epoxiconazoleDose response dependence for stripe rust controlled by the fungicide epoxiconazole (Opus). The data was reported in the Home Grown Cereal Authority (HGCA) report n. 488 "Fungicide performance on winter wheat" (Ref. Bounds et al 2012 in the manuscript), Figure 15. The first column represents the fungicide dose as a proportion of the full label rate. The second column represents severity of stripe rust as percentage of the total leaf area. The results are averages over the two consecutive seasons, 2008 and 2009. This data is plotted in Fig. 5(a) of the manuscript.epoxiconazole_2008_2009_dr.datR0 as a function of the field size for exponential dispersal kernelThe file represents the basic reproductive number, R0, as a function of the field size for exponential dispersal kernel. 1st column distance [m]; 2nd column R0. Spatial grid 60x60 gridpoints. Plotted as solid curve in Fig. 1 (up to values of d of about 193 m). The data was generated by numerical solution of Eq. (6) in the manuscript.r0_vs_d_exp_finescale.datR0 as a function of the field size for exponential dispersal kernel, large field sizes and higher spatial resolutionThe file represents the basic reproductive number, R0, as a function of the field size for exponential dispersal kernel. 1st column distance [m]; 2nd column R0. Spatial grid 150x150 gridpoints. Plotted as solid curve in Fig. 1 (up to values of d of about 193 m). The data was generated by numerical solution of Eq. (6) in the manuscript.r0_vs_d_exp_large_d.datbasic reproductive number, R0, as a function of the field size for modified power law 2 dispersal kernel.The file represents the basic reproductive number, R0, as a function of the field size for exponential dispersal kernel. 1st column distance [m]; 2nd column R0. Spatial grid 120x120 gridpoints (d from 0 m to 100 m) 150x150 gridpoints (d from 110 m to 250 m). Plotted as dashed curve in Fig. 1. The data was generated by numerical solution of Eq. (6) in the manuscript.r0_vs_d_pl2.datR0 as a function of the field size for gaussian dispersal kernelThe file represents the basic reproductive number, R0, as a function of the field size for Gaussian dispersal kernel. 1st column distance [m]; 2nd column R0. Spatial grid 120x120 gridpoints. Plotted as dotted curve in Fig. 1. The data was generated by numerical solution of Eq. (6) in the manuscript.r0_vs_d_gauss.datR0, as a function of the field size for power law 2 dispersal kernel, parameters for Madras 2002 experimentThe file represents the basic reproductive number, R0, as a function of the field size for power law 2 dispersal kernel, parameters for Madras 2002 experiment. 1st column distance [m]; 2nd column R0. Spatial grid 120x120 gridpoints. Plotted as points on the dashed blue curve in Fig. 3. The data was generated by numerical solution of Eq. (6) in the manuscript.r0_vs_d_madr2002.datR0, as a function of the field size for power law 2 dispersal kernel, parameters for Hermiston 2002 experiment.The file represents the basic reproductive number, R0, as a function of the field size for power law 2 dispersal kernel, parameters for Hermiston 2002 experiment. 1st column distance [m]; 2nd column R0. Spatial grid 120x120 gridpoints, except for last 3 points with 180x180 grid. Plotted as points on solid red curve in Fig. 3. The data was generated by numerical solution of Eq. (6) in the manuscript.r0_vs_d_herm2002.datR0, as a function of the field aspect ratio for 4 ha field area, power law 2 dispersal kernel, parameters for Hermiston 2002 experiment.The file represents the basic reproductive number, R0, as a function of the field aspect ratio for 4 ha field area, power law 2 dispersal kernel, parameters for Hermiston 2002 experiment. 1st column field aspect ratio; 2nd column R0. Spatial grid 150x150 gridpoints. Plotted as points on the solid yellow curve in Fig.4(a). The data was generated by numerical solution of Eq. (6) in the manuscript.r0_vs_arat_herm2002_4ha.datR0 as a function of the field aspect ratio for 1 ha field area, power law 2 dispersal kernel, parameters for Hermiston 2002 experiment.The file represents the basic reproductive number, R0, as a function of the field aspect ratio for 1 ha field area, power law 2 dispersal kernel, parameters for Hermiston 2002 experiment. 1st column field aspect ratio; 2nd column R0. Spatial grid 150x150 gridpoints. Plotted as points on the dashed blue curve in Fig.4(a). The data was generated by numerical solution of Eq. (6) in the manuscript.r0_vs_arat_herm2002_1ha.datR0 as a function of the field aspect ratio for 0.2 ha field area, power law 2 dispersal kernel, parameters for Hermiston 2002 experiment.The file represents the basic reproductive number, R0, as a function of the field aspect ratio for 0.2 ha field area, power law 2 dispersal kernel, parameters for Hermiston 2002 experiment. 1st column field aspect ratio; 2nd column R0. Spatial grid 150x150 gridpoints. Plotted as points on the dash-dotted red curve in Fig.4(a). The data was generated by numerical solution of Eq. (6) in the manuscript.r0_vs_arat_herm2002_0.2ha.datR0 as a function of the field aspect ratio for 0.2 ha field area, power law 2 dispersal kernel, parameters for Hermiston 2002 experiment.The file represents the basic reproductive number, R0, as a function of the field aspect ratio for 0.2 ha field area, power law 2 dispersal kernel, parameters for Hermiston 2002 experiment. 1st column field aspect ratio; 2nd column R0. Spatial grid 150x150 gridpoints. Plotted as points on the dotted orange curve in Fig.4(a). The data was generated by numerical solution of Eq. (6) in the manuscript.r0_vs_arat_herm2002_0.1ha.datR0 as a function of the field aspect ratio for 4 ha field area, power law 2 dispersal kernel, parameters for Madras 2002 experiment.The file represents the basic reproductive number, R0, as a function of the field aspect ratio for 4 ha field area, power law 2 dispersal kernel, parameters for Madras 2002 experiment. 1st column field aspect ratio; 2nd column R0. Spatial grid 150x150 gridpoints. Plotted as points on the solid yellow curve in Fig.4(b). The data was generated by numerical solution of Eq. (6) in the manuscript.r0_vs_arat_madr2002_4ha.datR0 as a function of the field aspect ratio for 1 ha field area, power law 2 dispersal kernel, parameters for Madras 2002 experiment.The file represents the basic reproductive number, R0, as a function of the field aspect ratio for 1 ha field area, power law 2 dispersal kernel, parameters for Madras 2002 experiment. 1st column field aspect ratio; 2nd column R0. Spatial grid 150x150 gridpoints. Plotted as points on the dashed blue curve in Fig.4(b). The data was generated by numerical solution of Eq. (6) in the manuscript.r0_vs_arat_madr2002_1ha.datR0, as a function of the field aspect ratio for 0.2 ha field area, power law 2 dispersal kernel, parameters for Madras 2002 experiment.The file represents the basic reproductive number, R0, as a function of the field aspect ratio for 0.2 ha field area, power law 2 dispersal kernel, parameters for Madras 2002 experiment. 1st column field aspect ratio; 2nd column R0. Spatial grid 150x150 gridpoints. Plotted as points on the dash-dotted red curve in Fig.4(b). The data was generated by numerical solution of Eq. (6) in the manuscript.r0_vs_arat_madr2002_0.2ha.datR0, as a function of the field aspect ratio for 0.1 ha field area, power law 2 dispersal kernel, parameters for Madras 2002 experiment.The file represents the basic reproductive number, R0, as a function of the field aspect ratio for 0.1 ha field area, power law 2 dispersal kernel, parameters for Madras 2002 experiment. 1st column field aspect ratio; 2nd column R0. Spatial grid 150x150 gridpoints. Plotted as points on the dotted orange curve in Fig.4(b). The data was generated by numerical solution of Eq. (6) in the manuscript.r0_vs_arat_madr2002_0.1ha.dat