Centered L-function
Arguments
- x
ppp
- ...
Arguments passed to
spatstat.explore::Lest()
Details
Centers Besag's L-function to zero by calculating L(r) -r. Centering the L-function allows an easier interpretation and plotting of the results (Haase 1995).
Returns an 'Function value object' of the spatstat package.
References
Besag, J.E., 1977. Discussion on Dr. Ripley’s paper. Journal of the Royal Statistical Society. Series B (Methodological) 39, 193–195. <https://doi.org/10.1111/j.2517-6161.1977.tb01616.x>
Ripley, B.D., 1977. Modelling spatial patterns. Journal of the Royal Statistical Society. Series B (Methodological) 39, 172–192. <https://doi.org/10.1111/j.2517-6161.1977.tb01615.x>
Haase, P., 1995. Spatial pattern analysis in ecology based on Ripley’s K-function: Introduction and methods of edge correction. Journal of Vegetation Science 6, 575–582. <https://doi.org/10.2307/3236356>
Examples
input_pattern <- spatstat.random::runifpoint(n = 100)
center_Lest(input_pattern, correction = "Ripley")
#> Function value object (class ‘fv’)
#> for the function r -> L(r)-r
#> ............................................................
#> Math.label Description
#> r r distance argument r
#> theo L[pois](r)-r theoretical Poisson L(r)-r
#> iso hat(L)[iso](r)-r isotropic-corrected estimate of L(r)-r
#> ............................................................
#> Default plot formula: .~.x
#> where “.” stands for ‘iso’, ‘theo’
#> Recommended range of argument r: [0, 0.25]
#> Available range of argument r: [0, 0.25]
lest <- spatstat.explore::Lest(input_pattern)
center_Lest(lest)
#> Function value object (class ‘fv’)
#> for the function r -> L(r)-r
#> ..................................................................
#> Math.label Description
#> r r distance argument r
#> theo L[pois](r)-r theoretical Poisson L(r)-r
#> border hat(L)[bord](r)-r border-corrected estimate of L(r)-r
#> trans hat(L)[trans](r)-r translation-corrected estimate of L(r)-r
#> iso hat(L)[iso](r)-r isotropic-corrected estimate of L(r)-r
#> ..................................................................
#> Default plot formula: .~.x
#> where “.” stands for ‘iso’, ‘trans’, ‘border’, ‘theo’
#> Recommended range of argument r: [0, 0.25]
#> Available range of argument r: [0, 0.25]