Negative Exponential kernel

Description

Negative Exponential kernel

Usage

negative_exponential_function(x, mean_dispersal_dist)

Arguments

• x: <numeric> distance at which the probability should be calculated.
• mean_dispersal_dist: <numeric> mean dispersal distance. Needs to be (>0).

Details

The negative exponential kernel is defined as:

$f\left(x\right)=\frac{1}{2\cdot \pi a^2}{e}^{-\frac{x}{a}}$

where a is the mean dispersal distance divided by 2.

References

Nathan, R., Klein, E., Robledo-Arnuncio, J.J. and Revilla, E. (2012) Dispersal kernels: review. in: Dispersal Ecology and Evolution pp. 187—210. (eds J. Clobert, M. Baguette, T.G. Benton and J.M. Bullock), Oxford, UK: Oxford Academic, 2013.

Value

<numeric> The probability at distance x.

Examples

negative_exponential_function(1, 1)