#' Generate IPM
#'
#' This function defines the performance measure evaluated over an interval defined by the
#' mid-point interval approximattion
#'
#' @param IPMparameters List of known parameters with missing parameters coded NA - see function smc::IPMparameters() for generating list from paramDataframe
#' @param ... List of missing parameters from dataframe to generate IPM Kernel
#'
#' @return Integral population model K-Kernel (matrix of reproductive and transition probabilities)
#' @export
#'
generateIPM <- function(IPM.parameters, ...){
holdNewPars <- list(...)
IPM.parameters[which(is.na(IPM.parameters))] <- unlist(holdNewPars)
span <- t_0[2]-t_0[1]
S.kernel <- survival(t_0,
IPM.parameters$survInt,
IPM.parameters$survSlope)
F.kernel <- span*outer(t_0,
t_1,
reproduction,
estabProbability=IPM.parameters$establishment,
recruitMean=IPM.parameters$recruitMean,
recruitSD=IPM.parameters$recruitSD,
fertInt=IPM.parameters$fertInt,
fertSlope=IPM.parameters$fertSlope)
G.kernel <- span*outer(t_0,
t_1,
growth,
growthInt=IPM.parameters$growthInt,
growthSlope=IPM.parameters$growthSlope,
growthSD=IPM.parameters$growthSD)
P.kernel <- G.kernel
for(i in 1:length(t_0)){P.kernel[,i]=G.kernel[,i]*S.kernel[i]}
A.kernel <- P.kernel+F.kernel
return(A.kernel)
}
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