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#' Print summary of density surface model variance object
#'
#' See [`summary.dsm_varprop`][summary.dsm_varprop] for information.
#'
#' @param x a summary of `dsm` variance object
#' @param \dots unspecified and unused arguments for S3 consistency
#' @return `NULL`
#' @export
#' @author David L. Miller
#' @seealso [`summary.dsm.var`][summary.dsm.var]
#' @keywords utility
print.summary.dsm_varprop <- function(x, ...){
cat("Summary of uncertainty in a density surface model calculated\n")
cat(" by variance propagation.\n")
cat("\nProbability of detection in fitted model and variance model\n")
#lapply(x$varprop_diagnostic, function(x){
# #cat(attr(x, "model_description"), ":\n")
# print(x)
#})
if(length(x$varprop_diagnostic) > 1){
for(i in seq_along(x$varprop_diagnostic)){
cat("Detection function", i,"\n")
print(x$varprop_diagnostic[[i]])
}
}else{
print(x$varprop_diagnostic[[1]])
}
cat("\n")
## calculate the CI around the abundance estimate
# this doesn't transform N, only se(N)
# this probably should do the following:
# lower =
# qlnorm(alpha/2, log(x$pred.est) - 0.5*log(x$cv^2+1),
# sqrt(log(x$cv^2+1)))
# upper =
# qlnorm(1-alpha/2, log(x$pred.est) - 0.5*log(x$cv^2+1),
# sqrt(log(x$cv^2+1)))
unconditional.cv.square <- x$cv^2
asymp.ci.c.term <- exp(qnorm(1-x$alpha/2) *
sqrt(log(1+unconditional.cv.square)))
asymp.tot <- c(x$pred.est / asymp.ci.c.term,
x$pred.est,
x$pred.est * asymp.ci.c.term)
names(asymp.tot) <- c(paste0(x$alpha/2*100, "%"),
"Mean",
paste0((1-x$alpha/2)*100,"%"))
cat("Approximate asymptotic confidence interval:\n")
print(asymp.tot)
cat("(Using log-Normal approximation)\n")
cat("\n")
cat("Detection function CV :", paste(round(x$detfct.cv, 4),
collapse=", "), "\n")
cat("\n")
cat("Point estimate :", x$pred.est,"\n")
cat("Standard error :", sqrt(x$var),"\n")
cat("Coefficient of variation :", round(x$cv,4),"\n")
cat("\n")
invisible()
}
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