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#' Default parameters
#'
#' Returns the default Lemna model parameters as reported by Klein *et al.* (2022).
#'
#' ## Model parameters
#'
#' ### Growth model
#' - `k_photo_fixed`, Model switch for unlimited growth conditions (TRUE/FALSE)
#' - `k_photo_max`, Maximum photosynthesis rate (d-1)
#' - `k_loss`, Reference loss rate (d-1)
#' - `BM_min`, Threshold density for setting dBM/dt to zero (g dw m-2)
#'
#' ### Temperature response of photosynthesis
#' - `T_opt`, Optimum growth temperature (deg C)
#' - `T_min`, Minimum growth temperature (deg C)
#' - `T_max`, Maximum growth temperature (deg C)
#'
#' ### Temperature response of biomass loss rate
#' - `Q10`, Temperature coefficient (-)
#' - `T_ref`, Reference temperature for response=1 (°C)
#'
#' ### Irradiance reponse of photosynthesis
#' - `alpha`, Slope of irradiance response (m2 d kJ-1)
#' - `beta`, Intercept of irradiance response (-)
#'
#' ### Nutrient response of photosynthesis
#' - `N_50`, Half-saturation constant of Nitrogen (mg N L-1)
#' - `P_50`, Half-saturation constant of Phosphorus (mg P L-1)
#'
#' ### Density dependence of photosynthesis
#' - `BM_L`, Carrying capacity (g dw m-2)
#'
#' ### Concentration response (Toxicodynamics)
#' - `EC50_int`, Internal concentration resulting in 50% effect (mass per volume)
#' - `E_max`, Maximum inhibition (-)
#' - `b`, Slope parameter (-)
#'
#' ### Internal concentration (Toxicokinetics)
#' - `P`, Permeability (cm d-1)
#' - `r_A_DW`, Area per dry-weight ratio (cm2 g-1)
#' - `r_FW_DW`, Fresh weight per dry weight ratio (-)
#' - `r_FW_V`, Fresh weight density (g cm-3)
#' - `r_DW_FN` Dry weight per frond ratio (g dw)
#' - `K_pw`, Partitioning coefficient plant:water (-)
#' - `k_met`, Metabolisation rate (d-1)
#'
#' ## Model changes
#'
#' - *lemna* version 1.0.2
#' The default value of parameter `beta` is set to `0.25`. This reflects the
#' changes made to the (upcoming) SETAC working group report version 1.2.
#'
#' @param values optional named numeric `vector`, values will override any
#' defaults
#' @return named `list`
#' @export
#'
#' @references
#' Klein J., Cedergreen N., Heine S., Kehrein N., Reichenberger S., Rendal C.,
#' Schmitt W., Hommen U., 2022: Refined description of the *Lemna* TKTD growth model
#' based on *Schmitt et al.* (2013) – equation system and default parameters,
#' implementation in R.
#' Report of the working group *Lemna* of the SETAC Europe Interest Group Effect
#' Modeling. Version 1.1, uploaded on 09 May 2022.
#' <https://www.setac.org/group/effect-modeling.html>
#'
#' @examples
#' # Returns default model parameters, some parameters are not defined (NA)
#' param_defaults()
#'
#' # Overwrite one of the default parameters
#' param_defaults(list(k_photo_max = 0.42))
#'
#' # Provide values for substance specific TKTD parameters
#' param_defaults(list(
#' EC50_int = 23, # 50% effect level (mass per volume)
#' b = 1, # slope parameter (-)
#' P = 0.42 # permeability (cm d-1)
#' ))
#'
#' # Returns a list of required model parameters with all values set to NA
#' param_new()
param_defaults <- function(values) {
l <- list(
# growth model parameters
k_photo_fixed = FALSE, # model switch, if TRUE then f_loss = 1 and f_photo = fCint_photo()
k_photo_max = 0.47, # max photosynthesis rate (d-1)
k_loss = 0.05, # reference loss rate (d-1)
BM_min = 5e-4, # threshold density for setting dBM/dt to zero (g dw m-2)
# response parameters
T_opt = 26.7, # optimum growth temperature (deg C)
T_min = 8, # minimum growth temperature (deg C)
T_max = 40.5, # maximum growth temperature (deg C)
Q10 = 2, # temperature coefficient (-)
T_ref = 25, # ref temperature for response=1 (°C)
alpha = 5e-5, # slope of irradiance response of photosynthesis (m2 d kJ-1)
beta = 0.25, # intercept of irradiance response of photosynthesis (-)
N_50 = 0.034, # half-saturation constant of Nitrogen response (mg N L-1)
P_50 = 0.0043, # half-saturation constant of Phosphorus response (mg P L-1)
BM_L = 177, # carrying capacity (g dw m-2)
# toxicodynamic parameters
E_max = 1, # maximum inhibition (-), substance specific
EC50_int = NA, # int. conc. resulting in 50% effect (ug L-1), substance specific
b = NA, # slope parameter (-), substance specific
# toxicokinetic parameters
P = NA, # permeability (cm d-1), substance specific
r_A_DW = 1000, # area per dry-weight ratio (cm2 g-1)
r_FW_DW = 16.7, # fresh weight per dry weight ratio (-)
r_FW_V = 1, # fresh weight density (g cm-3)
r_DW_FN = 1e-4, # dry weight per frond ratio (g dw)
K_pw = 1, # partitioning coefficient plant:water (-), generally substance specific
k_met = 0 # metabolisation rate (d-1), generally substance specific
)
# overwrite any defaults with supplied values?
if(!missing(values)) {
for(nm in names(values)) {
if(!nm %in% names(l)) {
warning(paste("parameter",nm,"is not part of the Lemna model"))
}
l[[nm]] <- values[[nm]]
}
}
l
}
#' @export
#' @describeIn param_defaults A parameter set without default values
param_new <- function(values) {
l <- list(
# growth model parameters
k_photo_fixed = NA,
k_photo_max = NA,
k_loss = NA,
BM_min = NA,
# response parameters
T_opt = NA,
T_min = NA,
T_max = NA,
Q10 = NA,
T_ref = NA,
alpha = NA,
beta = NA,
N_50 = NA,
P_50 = NA,
BM_L = NA,
# toxicodynamic parameters
E_max = NA,
EC50_int = NA,
b = NA,
# toxicokinetic parameters
P = NA,
r_A_DW = NA,
r_FW_DW = NA,
r_FW_V = NA,
r_DW_FN = NA,
K_pw = NA,
k_met = NA
)
# overwrite any defaults with supplied values?
if(!missing(values)) {
for(nm in names(values)) {
if(!nm %in% names(l)) {
warning(paste("parameter",nm,"is not part of the Lemna model"))
}
l[[nm]] <- values[[nm]]
}
}
l
}
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