#' Biomass expansion factors according to Lethonen etal 2004
#'
#' @param species one of: "spruce", "gran", "pine", "furu", "birch", "broadleave", "løv", "lauv", "bjørk"
#' @param age age of the stand (numeric, years from breast height)
#'
#' @returns a data.frame with biomass expansion factors for estimating dry mass of
#' tree parts like stem, branches etc, in tonne per m3 stem volume on bark
#' Lethonen etal estimated biomass for each tree part as by Marklund 1988,
#' and stemvolume on bark by Laasasenaho 1982, and then made BEF functions out of these.
#' I.e. the BEFS here estimates the biomass for each tree part by total stem volume on bark.
#' @export
#'
#' @examples
#' BEF_Let2004_spc_age(species = "pine", age = 70)
BEF_Let2004_spc_age <- function(species , age ){
# based on Biomass expansion factors (BEFs) for Scots pine, Norway spruce
# and birch according to stand age for boreal forests
# Forest Ecology and Management 188 (2004) 211–224
# https://doi.org/10.1016/j.foreco.2003.07.008
stopifnot( tolower(species) %in% c("gran", "spruce", "furu", "pine", "birch", "bjørk", "broadleave", "løv", "lauv", "deciduous"))
stopifnot(is.numeric(age) & age > 1 & age < 250)
agef = exp(-age/100)
if(tolower(species) %in% c("spruce", "gran")) {
Stembm = 0.4 + -0.0462 * agef
Foliagebm = 0.0388 + 0.0849 * agef
Branchesbm = 0.0905 + 0.0719 * agef
Branchesdbm = 0.0088 + 0.0001 * agef
Barkbm = 0.0353 + 0.0125 * agef
Stumpbm = 0.0488 + 0.0002 * agef
RootsCbm = 0.1024 + -0.0271 * agef
RootsSbm = 0.0201 + 0.0448 * agef
Totalbm = 0.7406 + 0.006 * agef
Total_abvgbm = 0.5734 + 0.1272 * agef
} else if(tolower(species) %in% c("pine", "furu") ){
Stembm = 0.4194 + -0.0798 * agef
Foliagebm = 0.0177 + 0.0499 * agef
Branchesbm = 0.0706 + 0.0212 * agef
Branchesdbm = 0.0104 + 0.0059 * agef
Barkbm = 0.0254 + 0.0221 * agef
Stumpbm = 0.0472 + - 0.0039 * agef
RootsCbm = 0.0838 + -0.0365 * agef
RootsSbm = 0.0272 + 0.0269 * agef
Totalbm = 0.7018 + 0.0058 * agef
Total_abvgbm = 0.5436 + 0.0193 * agef
} else if(tolower(species) %in% c("bjørk", "birch", "broadleave", "løv", "lauv", "deciduous") ){
Stembm = 0.3964 + -0.0186 * agef
Foliagebm = NA_real_ # 0. + 0.0
Branchesbm = 0.1011 + 0.0180 * agef
Branchesdbm = 0.0053 + 0.0059 * agef
Barkbm = 0.0588 + 0.0221 * agef
Stumpbm = 0.08 # guesstimate based on Lethonen etal Discussion chapter forth paragraph birch can be expected to be 0.19 for stump&rooot system
RootsCbm = 0.07
RootsSbm = 0.04
Totalbm = NA_real_
Total_abvgbm = 0.05616 + -0.0179 * agef
}
return(data.frame(spc_age = paste0(species, age), Stembm = Stembm, Foliagebm, Branchesbm, Branchesdbm, Barkbm, Stumpbm, RootsCbm, RootsSbm, Totalbm, Total_abvgbm))
}
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