spEDM (version 1.7)

slm: spatial logistic map

Description

spatial logistic map

Usage

# S4 method for sf
slm(
  data,
  x = NULL,
  y = NULL,
  z = NULL,
  k = 4,
  step = 15,
  alpha_x = 0.28,
  alpha_y = 0.25,
  alpha_z = 0.22,
  beta_xy = 0.05,
  beta_xz = 0.05,
  beta_yx = 0.2,
  beta_yz = 0.2,
  beta_zx = 0.35,
  beta_zy = 0.35,
  threshold = Inf,
  transient = 1,
  nb = NULL
)
# S4 method for SpatRaster
slm(
  data,
  x = NULL,
  y = NULL,
  z = NULL,
  k = 4,
  step = 15,
  alpha_x = 0.28,
  alpha_y = 0.25,
  alpha_z = 0.22,
  beta_xy = 0.05,
  beta_xz = 0.05,
  beta_yx = 0.2,
  beta_yz = 0.2,
  beta_zx = 0.35,
  beta_zy = 0.35,
  threshold = Inf,
  transient = 1
)

Value

A list

Arguments

data

observation data.

x

(optional) name of first spatial variable.

y

(optional) name of second spatial variable.

z

(optional) name of third spatial variable.

k

(optional) number of neighbors to used.

step

(optional) number of simulation time steps.

alpha_x

(optional) growth parameter for x.

alpha_y

(optional) growth parameter for y.

alpha_z

(optional) growth parameter for y.

beta_xy

(optional) cross-inhibition from x to y.

beta_xz

(optional) cross-inhibition from x to z.

beta_yx

(optional) cross-inhibition from y to x.

beta_yz

(optional) cross-inhibition from y to z.

beta_zx

(optional) cross-inhibition from z to x.

beta_zy

(optional) cross-inhibition from z to y.

threshold

(optional) set to NaN if the absolute value exceeds this threshold.

transient

(optional) transients to be excluded from the results.

nb

(optional) neighbours list.

References

Willeboordse, F.H., The spatial logistic map as a simple prototype for spatiotemporal chaos, Chaos, 533–540 (2003).

Examples

columbus = sf::read_sf(system.file("case/columbus.gpkg", package="spEDM"))
columbus$inc = sdsfun::normalize_vector(columbus$inc)
slm(columbus,"inc")