negative_exponential_function {metaRange}

Negative Exponential kernel

Description

Negative Exponential kernel

Usage

negative_exponential_function(x, mean_dispersal_dist)

Arguments

x

⁠<numeric>⁠ distance at which the probability is calculated.

mean_dispersal_dist

⁠<numeric>⁠ mean dispersal distance (>0)

Details

The negative exponential kernel is defined as:

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

where a is the mean dispersal distance divided by 2.

Value

⁠<numeric>⁠ The probability at distance x.

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. doi:10.1093/acprof:oso/9780199608898.003.0015

Examples

negative_exponential_function(1, 1)