res_scale: Resilience scaling function

In ecostatscale: Statistical Scaling Functions for Ecological Systems

Resilience scaling function

Description

Extrapolate resilience observed at the scale of a single spatial or ecological scale b (e.g. a patch or species) to a larger scale, B (e.g. functional group or landscape).

Usage

res_scale(
  mvar_b,
  murho_b_abundance,
  mucov_b_abundance = NULL,
  msd_b,
  murho_b_disturbance,
  mucov_b_disturbance = NULL,
  b = 1,
  B,
  lambda
)

Arguments

mvar_b	Mean abundance variance observed at scale b
murho_b_abundance	Mean Pearson correlation coefficient of abundance values observed at scale b
mucov_b_abundance	Mean covariance of abundance values observed at scale b. Ignored unless murho_b_abundance is NULL Defaults to NULL.
msd_b	Mean disturbance standard deviation observed at scale b
murho_b_disturbance	Mean Pearson correlation coefficient of disturbances observed at scale b
mucov_b_disturbance	Mean covariance of disturbances observed at scale b. Ignored unless murho_b_abundance is NULL Defaults to NULL.
b	Size of observed scale. Defaults to 1.
B	Larger scale being extrapolated to (e.g. total number of species, or size of patch B relative to b)
lambda	Mean disturbance frequency.

Value

Extrapolated median resilience at scale of M species.

Examples

# extrapolate from scale of 1 species to 10 species
res_scale(mvar_b = 0.25, murho_b_abundance = -0.034, msd_b = sqrt(0.1),
           murho_b_disturbance = 0, B = 30, lambda=1)

# plot relationship for groups of 1 to 30 species
plot(1:30, res_scale(mvar_b = 0.25, murho_b_abundance = -0.034, msd_b = sqrt(0.1),
      murho_b_disturbance = 0, B = 1:30, lambda=1),
      xlab="ecological scale", ylab="resilience, r", type="b")

ecostatscale documentation built on Oct. 23, 2023, 1:06 a.m.