test_that("resource_semichemostat preserves steady state", { # Set resource parameters so that we are at steady state params <- newTraitParams() params <- setResource(params, resource_capacity = 2 * initialNResource(params), resource_dynamics = "resource_semichemostat") x <- resource_semichemostat(params, n = params@initial_n, n_pp = params@initial_n_pp, n_other = params@initial_n_other, rates = getRates(params), t = 0, dt = 0.1, resource_capacity = params@cc_pp, resource_rate = params@rr_pp) expect_equal(x, params@initial_n_pp, tolerance = 1e-15, ignore_attr = TRUE) }) test_that("resource_semichemostat evolves towards steady state", { # This might go wrong if numerical errors are too large. This in turn # might happen when the rates are small. To achieve that we # reduce plankton mortality to a small value by scaling gamma down by # a large factor s and simultaneously scaling up the plankton abundance # so as to keep the income of the fish constant. s <- 1e10 params <- newTraitParams() species_params(params)$gamma <- species_params(params)$gamma / s initialNResource(params) <- initialNResource(params) * s # Set resource parameters so that we are at steady state params <- setResource(params, resource_capacity = 2 * initialNResource(params), resource_rate = getResourceMort(params), balance = FALSE) # Now perturb a bit away from steady state n_pp_pert <- params@initial_n_pp * (1 + 1e-10) # run the dynamics for one time step and check that the perturbation has # not grown x <- resource_semichemostat(params, n = params@initial_n, n_pp = n_pp_pert, n_other = params@initial_n_other, rates = getRates(params), t = 0, dt = 0.1, resource_capacity = params@cc_pp, resource_rate = params@rr_pp) expect_lte(max(abs(x - n_pp_pert)), 0) }) test_that("balance_resource_semichemostat works", { # semichemostat rate sc <- function(params) { r <- params@rr_pp c <- params@cc_pp N <- params@initial_n_pp mu <- getResourceMort(params) N_steady <- r * c / (mu + r) sel <- (mu + r) > 0 all.equal(N_steady[sel], N[sel]) } params <- NS_params # setting rate rate <- getResourceMort(params) params <- setResource(params, resource_rate = rate, resource_dynamics = "resource_semichemostat") expect_identical(params@rr_pp, rate) expect_true(sc(params)) # setting capacity capacity <- params@cc_pp * 2 p1 <- setResource(params, resource_capacity = capacity) expect_identical(p1@cc_pp, capacity) expect_true(sc(p1)) })