#' Extinction risk demo: Ricker model
#'
#' A Shiny demo of extinction risk under the SEG model. The user can set the low-density growth rate,
#' the equilibrium abundance,
#' the variance of the log growth rate, the initial population size, the quasi-extinction population size,
#' and the length of simulation.
#' The number of replicate simulations can also be changed.
#'
#' A single graph is produced, showing the cumulative disribution function (CDF)
#' of (quasi-) extinction risk. This is calculated using \code{\link{extRiskRicker}}.
#'
#' The simulations update immediately when you change any parameter value.
#'
#'
#' @return Nothing is returned; the commmand is run for its side effect of
#' launching a shiny app. You will have to close the shiny window or hit the
#' Stop button in the console to get the console prompt back.
#'
demo_cdf_Ricker <- function() {
require(shiny)
require(PVA)
shinyApp(
ui = fluidPage(
# Application title
titlePanel("Cumulative quasi-extinction risk under Ricker density dependence"),
# Sidebar with a slider input for the number of bins
sidebarLayout(
sidebarPanel(
numericInput("r",
"Low-density growth rate (r)",
value=1.5,
min=0,
step=0.1),
numericInput("K",
"Equilibrium abundance (K)",
value=100,
min=0),
numericInput("sigma2",
"Variance of log growth rate (sigma2)",
value=0.05,
min=0,
max=1,
step=0.01),
numericInput("N0",
"Initial population size (N0)",
value=100,
min=1),
numericInput("Nx",
"Quasi-extinction threshold (Nx)",
value=50,
min=1),
numericInput("time_horizon",
"Number of years to simulate",
value=100,
min=2),
numericInput("num_sims",
"Number of simulations",
value=1000,
min=2)
),
# Show the plot
mainPanel(
plotOutput("cdfPlot")
)
)
),
server = function(input,output) {
CDF <- reactive({
extRiskRicker(input$r, input$K, input$sigma2, input$time_horizon, input$N0,
input$num_sims, input$Nx)
})
# Plot the CDF
output$cdfPlot <- renderPlot({
plot(CDF~Time, data=CDF(), type='l', xlab="Years",
ylab="Cumulative extinction risk", ylim = c(0, 1))
})
}
)
}
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