Power law dispersal kernal — power

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

https://apsjournals.apsnet.org/doi/pdf/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