sessionInfo()
## R version 3.5.2 (2018-12-20)
## Platform: x86_64-w64-mingw32/x64 (64-bit)
## Running under: Windows 10 x64 (build 17763)
##
## Matrix products: default
##
## locale:
## [1] LC_COLLATE=English_United States.1252
## [2] LC_CTYPE=English_United States.1252
## [3] LC_MONETARY=English_United States.1252
## [4] LC_NUMERIC=C
## [5] LC_TIME=English_United States.1252
##
## attached base packages:
## [1] stats graphics grDevices utils datasets methods base
##
## loaded via a namespace (and not attached):
## [1] compiler_3.5.2 magrittr_1.5 tools_3.5.2 htmltools_0.3.6
## [5] yaml_2.2.0 Rcpp_1.0.0 stringi_1.3.1 rmarkdown_1.12
## [9] knitr_1.22 stringr_1.4.0 xfun_0.6 digest_0.6.18
## [13] evaluate_0.13
library(population)
## Loading required package: parallel
## Loading required package: abind
n0<-4350 #2014 moose population estimate from DelGiudice (2014)
s0<-0.85 #median adult moose survival from DNR collaring study (Carstensen et al. 2016)
b1<-1.12 #median litter size at birth from DNR collaring study (Severud et al. 2016)
years<-30
runs<-1000
results <- project(
years = years,
runs = runs,
initial_population = c(n0),
survival = cbind(c(s0), 0.03), #stochasticity from standard deviation of adult survival from DNR collaring study (Carstensen et al. 2016)
litter = cbind(c(b1), 0.32) #stochasticity from standard deviation of litter size at birth from DNR collaring study (Severud et al. 2016)
)
##
## |**************************************************|
# Plot projection
plot_projection(results, "mean")
![](data:image/png;base64,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)