A simple logistic regression being to estimate the probability of species presence along a number of environmental gradients.
# make fake data n_env <- 3 n_sites <- 20 # n_sites x n_env matrix of environmental variables env <- matrix(rnorm(n_sites * n_env), nrow = n_sites) # n_sites observations of species presence or absence occupancy <- rbinom(n_sites, 1, 0.5)
alpha <- normal(0, 10) beta <- normal(0, 10, dim = n_env) # logit-linear model linear_predictor <- alpha + env %*% beta p <- ilogit(linear_predictor) # distribution (likelihood) over observed values distribution(occupancy) <- bernoulli(p)
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