#' Internal function of the DAISIE simulation
#' @param time Simulated amount of time
#' @param mainland_n A numeric stating the number of mainland species, that
#' is, the number of species that can potentially colonize the island.
#' If \code{\link{DAISIE_sim}} uses a clade-specific diversity dependence,
#' this value is set to 1.
#' If \code{\link{DAISIE_sim}} uses an island-specific diversity dependence,
#' this value is set to the number of mainland species.
#' @param pars A numeric vector:
#' \itemize{
#' \item{[1]: cladogenesis rate}
#' \item{[2]: extinction rate}
#' \item{[3]: carrying capacity}
#' \item{[4]: immigration rate}
#' \item{[5]: anagenesis rate}
#' }
#' @param Apars A named list containing area parameters as created by create_area_params:
#' \itemize{
#' \item{[1]: maximum area}
#' \item{[2]: value from 0 to 1 indicating where in the island's history the
#' peak area is achieved}
#' \item{[3]: sharpness of peak}
#' \item{[4]: total island age}
#' }
#' @param Epars A numeric vector:
#' \itemize{
#' \item{[1]: minimum extinction when area is at peak}
#' \item{[2]: extinction rate when current area is 0.10 of maximum area}
#' }
#' @param Tpars A named list containing diversification rates considering two trait states:
#' \itemize{
#' \item{[1]:A numeric with the per capita transition rate with state1}
#' \item{[2]:A numeric with the per capita immigration rate with state2}
#' \item{[3]:A numeric with the per capita extinction rate with state2}
#' \item{[4]:A numeric with the per capita anagenesis rate with state2}
#' \item{[5]:A numeric with the per capita cladogenesis rate with state2}
#' \item{[6]:A numeric with the per capita transition rate with state2}
#' \item{[7]:A numeric with the number of species with trait state 2 on mainland}
#' }
#' @param island_ontogeny A string describing the type of island ontogeny. Can be \code{"const"},
#' \code{"beta"} for a beta function describing area through time,
#' or \code{"linear"} for a linear function
DAISIE_sim_with_ontogeny <- function(
time,
mainland_n,
pars,
Apars = NULL,
Epars = NULL,
Tpars = NULL,
island_ontogeny = "const"
) {
testit::assert(length(pars) == 5)
testit::assert(is.null(Apars) || are_area_params(Apars))
if (pars[4] == 0) {
stop('Rate of colonisation is zero. Island cannot be colonised.')
}
if (!is.null(Apars) && island_ontogeny == 0) {
stop("Apars specified for constant island_ontogeny. Set Apars to NULL.")
}
if ((is.null(Epars) || is.null(Apars)) && island_ontogeny != "const") {
stop("Island ontogeny specified but Area parameters and/or extinction
parameters not available. Please either set island_ontogeny to NULL, or
specify Apars and Epars.")
}
testit::assert(DAISIE::is_island_ontogeny_input(island_ontogeny))
timeval <- 0
totaltime <- time
lac <- pars[1]
mu <- pars[2]
K <- pars[3]
gam <- pars[4]
laa <- pars[5]
extcutoff <- max(1000, 1000 * (laa + lac + gam))
testit::assert(is.numeric(extcutoff))
ext_multiplier <- 0.5
testit::assert((totaltime <= Apars$total_island_age) || is.null(Apars))
mainland_spec <- seq(1, mainland_n, 1)
maxspecID <- mainland_n
island_spec = c()
stt_table <- matrix(ncol = 4)
colnames(stt_table) <- c("Time","nI","nA","nC")
stt_table[1,] <- c(totaltime,0,0,0)
testit::assert(is.null(Apars) || are_area_params(Apars))
# Pick t_hor (before timeval, to set Amax t_hor)
t_hor <- get_t_hor(
timeval = 0,
totaltime = totaltime,
Tpars = Tpars,
Apars = Apars,
ext = 0,
ext_multiplier = ext_multiplier,
island_ontogeny = island_ontogeny,
t_hor = NULL
)
#### Start Gillespie ####
while (timeval < totaltime) {
# Calculate rates
rates <- update_rates(timeval = timeval,
totaltime = totaltime,
gam = gam,
mu = mu,
laa = laa,
lac = lac,
Apars = Apars,
Epars = Epars,
island_ontogeny = island_ontogeny,
extcutoff = extcutoff,
K = K,
island_spec = island_spec,
mainland_n = mainland_n,
t_hor = t_hor)
testit::assert(timeval >= 0)
timeval_and_dt <- calc_next_timeval(rates = rates, timeval = timeval)
timeval <- timeval_and_dt$timeval
dt <- timeval_and_dt$dt
if (timeval <= t_hor) {
testit::assert(are_rates(rates))
# Determine event
possible_event <- DAISIE_sample_event(
rates = rates,
island_ontogeny = island_ontogeny
)
updated_state <- DAISIE_sim_update_state(
timeval = timeval,
totaltime = totaltime,
possible_event = possible_event,
maxspecID = maxspecID,
mainland_spec = mainland_spec,
island_spec = island_spec,
stt_table = stt_table
)
island_spec <- updated_state$island_spec
maxspecID <- updated_state$maxspecID
stt_table <- updated_state$stt_table
} else {
#### After t_hor is reached ####
timeval <- t_hor
t_hor <- get_t_hor(
timeval = timeval,
totaltime = totaltime,
Tpars = Tpars,
Apars = Apars,
ext = rates$ext_rate,
ext_multiplier = ext_multiplier,
island_ontogeny = island_ontogeny
)
}
# TODO Check if this is redundant, or a good idea
if (rates$ext_rate_max >= extcutoff && length(island_spec[,1]) == 0) {
timeval <- totaltime
}
}
#### Finalize stt_table ####
stt_table <- rbind(stt_table,
c(0,
stt_table[nrow(stt_table), 2],
stt_table[nrow(stt_table), 3],
stt_table[nrow(stt_table), 4]))
island <- DAISIE_create_island(stt_table = stt_table,
totaltime = totaltime,
island_spec = island_spec,
mainland_n = mainland_n)
return(island)
}
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