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Power law dispersal kernal

Source: R/power_dk.R
power_dk.Rd

Dispersal kernal using the power law, as described by Sackett and Mundt (2005)

Usage

power_dk(x, a = 184.9, b = 2.07)

Arguments

x

numeric, Distance in meters.

a

numeric, scale parameter which is proportional to the strength of the source inoculum. Defaults to parameter used for stripe rust (Pucinnia striiformis) dispersal by Sackett and Mundt (2005).

b

numeric, dimensionless parameter controlling the steepness of the gradient. Defaults to parameter used for stripe rust (Pucinnia striiformis) dispersal by Sackett and Mundt (2005).

Value

estimated lesions per leaf

References

Sackett, K. E., and Mundt, C. C. (2005). Primary Disease Gradients of Wheat Stripe Rust in Large Field Plots. Phytopathology 95, 983-991. doi:10.1094/PHYTO-95-0983

Examples

power_dk(5)
#> [1] 6.607984
power_dk(1:20)
#>  [1] 184.9000000  44.0356915  19.0237405  10.4875182   6.6079843   4.5306845
#>  [7]   3.2929411   2.4977021   1.9572888   1.5737542   1.2919748   1.0790256
#> [13]   0.9142694   0.7842452   0.6798733   0.5948515   0.5246959   0.4661469
#> [19]   0.4167897   0.3748045