rsf: Resource Selection (Probability) Functions for...

In ResourceSelection: Resource Selection (Probability) Functions for Use-Availability Data

Resource Selection (Probability) Functions for Use-Availability Data

Description

Resource Selection (Probability) Functions for use-availability wildlife data as described in Lele and Keim (2006) and Lele (2009).

Usage

rsf(formula, data, m, B = 99, inits, method = "Nelder-Mead",
control, model = TRUE, x = FALSE, ...)

rspf(formula, data, m, B = 99, link = "logit", inits,
method = "Nelder-Mead", control, model = TRUE, x = FALSE, ...)

rsf.fit(X, Y, m, link = "logit", B = 99,
inits, method = "Nelder-Mead", control, ...)

rsf.null(Y, m, inits, ...)

Arguments

formula	two sided model formula of the form y ~ x, where y is a vector of observations, x is the set of covariates.
m	argument describing the matching of use and available points, see Details.
data	data.
B	number of bootstrap iterations to make.
link	character, type of link function to be used.
inits	initial values, optional.
method	method to be used in optim for numerical optimization.
control	control options for optim.
model	a logical value indicating whether model frame should be included as a component of the returned value
x	logical values indicating whether the model matrix used in the fitting process should be returned as components of the returned value.
Y	vector of observations.
X	covariate matrix.
...	other arguments passed to the functions.

Details

The rsf function fits the Exponential Resource Selection Function (RSF) model to presence only data.

The rspf function fits the Resource Selection Probability Function (RSPF) model to presence only data Link function "logit", "cloglog", and "probit" can be specified via the link argument.

The rsf.fit is the workhorse behind the two functions. link="log" leads to Exponential RSF.

The rsf.null function fits the 'no selection' version of the Exponential Resource Selection Function (RSF) model to presence only data.

LHS of the formula data must be binary, ones indicating used locations, while zeros indicating available location.

All available points are used for each use points if m=0 (global availability). If m is a single value, e.g. m=5, it is assumed that available data points are grouped in batches of 5, e.g. with IDs c(1,2) for used point locations and c(1, 1, 1, 1, 1, 2, 2, 2, 2, 2) for available locations (local availability, matched use-available design). Similarly, a vector of matching IDs can also be provided, e.g. c(1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2) by combining the above two. This potentially could allow for unbalanced matching (e.g. c(1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2)) and for easier subsetting of the data, but comes with an increased computing time. Note, the response in the LHS of the formula should be coded as c(1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0) for all of the above examples. When m is defined as a mapping vector or the value is 0, the order of course does not matter. However, ordering matters when m is constant because that implies a certain structure.

For model description and estimation details, see Lele and Keim (2006), Lele (2009), and Solymos and Lele (2016).

Value

A list with class "rsf", "rsf.null", or "rspf" containing the following components:

call	the matched call.
y	vector from LHS of the formula.
coefficients	a named vector of coefficients.
std.error	a named vector of standard errors for the coefficients.
loglik	the maximized pseudo log-likelihood according to Lele 2009.
results	optim results.
link	character, value of the link function used.
control	control parameters for optim.
inits	initial values used in optimization.
m	value of the m argument with possibly matched use-available design.
np	number of active parameters.
fitted.values	vector of fitted values. These are relative selection values for RSF models, and probability of selection for RSPF models.
nobs	number of used locations.
bootstrap	component to store bootstrap results if B>0.
converged	logical, indicating convergence of the optimization.
formula	the formula supplied.
terms	the terms object used.
levels	a record of the levels of the factors used in fitting.
contrasts	the contrasts used.
model	if requested, the model frame.
x	if requested, the model matrix.

Author(s)

Subhash R. Lele, Jonah L. Keim, Peter Solymos

References

Lele, S.R. (2009) A new method for estimation of resource selection probability function. Journal of Wildlife Management 73, 122–127.

Lele, S. R. & Keim, J. L. (2006) Weighted distributions and estimation of resource selection probability functions. Ecology 87, 3021–3028.

Solymos, P. & Lele, S. R. (2016) Revisiting resource selection probability functions and single-visit methods: clarification and extensions. Methods in Ecology and Evolution 7, 196–205.

Examples

## --- Simulated data example ---

## settings
n.used <- 1000
m <- 10
n <- n.used * m
set.seed(1234)
x <- data.frame(x1=rnorm(n), x2=runif(n))
cfs <- c(1.5,-1,0.5)
## fitting Exponential RSF model
dat1 <- simulateUsedAvail(x, cfs, n.used, m, link="log")
m1 <- rsf(status ~ .-status, dat1, m=0, B=0)
summary(m1)
## fitting Logistic RSPF model
dat2 <- simulateUsedAvail(x, cfs, n.used, m, link="logit")
m2 <- rspf(status ~ .-status, dat2, m=0, B=0)
summary(m2)

## --- Real data analysis from Lele & Keim 2006 ---

## Not run: 
goats$exp.HLI <- exp(goats$HLI)
goats$sin.SLOPE <- sin(pi * goats$SLOPE / 180)
goats$ELEVATION <- scale(goats$ELEVATION)
goats$ET <- scale(goats$ET)
goats$TASP <- scale(goats$TASP)

## Fit two RSPF models:
## global availability (m=0) and bootstrap (B=99)
m1 <- rspf(STATUS ~ TASP + sin.SLOPE + ELEVATION, goats, m=0, B = 99)
m2 <- rspf(STATUS ~ TASP + ELEVATION, goats, m=0, B = 99)

## Inspect the summaries
summary(m1)
summary(m2)

## Compare models: looks like m1 is better supported
CAIC(m1, m2)

## Visualize the relationships
plot(m1)
mep(m1) # marginal effects similar to plot but with CIs
kdepairs(m1) # 2D kernel density estimates
plot(m2)
kdepairs(m2)
mep(m2)

## fit and compare to null RSF model (not available for RSPF)
m3 <- rsf(STATUS ~ TASP + ELEVATION, goats, m=0, B = 0)
m4 <- rsf.null(Y=goats$STATUS, m=0)
CAIC(m3, m4)

## End(Not run)

ResourceSelection documentation built on July 9, 2023, 5:58 p.m.