# Copyright (C) 2015,2016,2018 Johannes Ranke
# Contact: jranke@uni-bremen.de
# This file is part of the R package pfm
# This program is free software: you can redistribute it and/or modify it under
# the terms of the GNU General Public License as published by the Free Software
# Foundation, either version 3 of the License, or (at your option) any later
# version.
# This program is distributed in the hope that it will be useful, but WITHOUT
# ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
# FOR A PARTICULAR PURPOSE. See the GNU General Public License for more
# details.
# You should have received a copy of the GNU General Public License along with
# this program. If not, see <http://www.gnu.org/licenses/>
# Register global variables
if(getRversion() >= '2.15.1') utils::globalVariables(c("destination", "study_type", "TP_identifier",
"soil_scenario_data_EFSA_2015"))
#' Calculate predicted environmental concentrations in soil
#'
#' This is a basic calculation of a contaminant concentration in bulk soil
#' based on complete, instantaneous mixing. If an interval is given, an
#' attempt is made at calculating a long term maximum concentration using
#' the concepts layed out for example in the PPR panel opinion (EFSA 2012).
#'
#' This assumes that the complete load to soil during the time specified by
#' 'interval' (typically 365 days) is dosed at once. As in the PPR panel
#' opinion cited below (PPR panel 2012), only temperature correction using the
#' Arrhenius equation is performed.
#'
#' Total soil and porewater PEC values for the scenarios as defined in the EFSA
#' guidance (2015, p. 13) can easily be calculated.
#'
#' @note If temperature information is available in the selected scenarios, as
#' e.g. in the EFSA scenarios, the DT50 for groundwater modelling
#' (destination 'PECgw') is taken from the chent object, otherwise the DT50
#' with destination 'PECsoil'.
#' @importFrom methods is
#' @param rate Application rate in units specified below
#' @param rate_units Defaults to g/ha
#' @param interception The fraction of the application rate that does not reach the soil
#' @param mixing_depth Mixing depth in cm
#' @param interval Period of the deeper mixing, defaults to 365, which is a year if
#' degradation rate units are in days
#' @param n_periods Number of periods to be considered for long term PEC calculations
#' @param PEC_units Requested units for the calculated PEC. Only mg/kg currently supported
#' @param PEC_pw_units Only mg/L currently supported
#' @param tillage_depth Periodic (see interval) deeper mixing in cm
#' @param chent An optional chent object holding substance specific information. Can
#' also be a name for the substance as a character string
#' @param DT50 If specified, overrides soil DT50 endpoints from a chent object
#' If DT50 is not specified here and not available from the chent object, zero
#' degradation is assumed
#' @param Koc If specified, overrides Koc endpoints from a chent object
#' @param Kom Calculated from Koc by default, but can explicitly be specified
#' as Kom here
#' @param t_avg Averaging times for time weighted average concentrations
#' @param scenarios If this is 'default', the DT50 will be used without correction
#' and soil properties as specified in the REACH guidance (R.16, Table
#' R.16-9) are used for porewater PEC calculations. If this is "EFSA_2015",
#' the DT50 is taken to be a modelling half-life at 20°C and pF2 (for when
#' 'chents' is specified, the DegT50 with destination 'PECgw' will be used),
#' and corrected using an Arrhenius activation energy of 65.4 kJ/mol. Also
#' model and scenario adjustment factors from the EFSA guidance are used.
#' @param porewater Should equilibrium porewater concentrations be estimated
#' based on Kom and the organic carbon fraction of the soil instead of total
#' soil concentrations? Based on equation (7) given in the PPR panel opinion
#' (EFSA 2012, p. 24) and the scenarios specified in the EFSA guidance (2015,
#' p. 13).
#' @return The predicted concentration in soil
#' @references EFSA Panel on Plant Protection Products and their Residues (2012)
#' Scientific Opinion on the science behind the guidance for scenario
#' selection and scenario parameterisation for predicting environmental
#' concentrations of plant protection products in soil. \emph{EFSA Journal}
#' \bold{10}(2) 2562, doi:10.2903/j.efsa.2012.2562
#'
#' EFSA (European Food Safety Authority) (2015) EFSA guidance document for
#' predicting environmental concentrations of active substances of plant
#' protection products and transformation products of these active substances
#' in soil. \emph{EFSA Journal} \bold{13}(4) 4093
#' doi:10.2903/j.efsa.2015.4093
#' @author Johannes Ranke
#' @export
#' @examples
#' PEC_soil(100, interception = 0.25)
#'
#' # This is example 1 starting at p. 79 of the EFSA guidance (2015)
#' PEC_soil(1000, interval = 365, DT50 = 250, t_avg = c(0, 21),
#' scenarios = "EFSA_2015")
#' PEC_soil(1000, interval = 365, DT50 = 250, t_av = c(0, 21),
#' Kom = 1000, scenarios = "EFSA_2015", porewater = TRUE)
#'
#' # The following is from example 4 starting at p. 85 of the EFSA guidance (2015)
#' # Metabolite M2
#' # Calculate total and porewater soil concentrations for tier 1 scenarios
#' # Relative molar mass is 100/300, formation fraction is 0.7 * 1
#' results_pfm <- PEC_soil(100/300 * 0.7 * 1 * 1000, interval = 365, DT50 = 250, t_avg = c(0, 21),
#' scenarios = "EFSA_2015")
#' results_pfm_pw <- PEC_soil(100/300 * 0.7 * 1000, interval = 365, DT50 = 250, t_av = c(0, 21),
#' Kom = 100, scenarios = "EFSA_2015", porewater = TRUE)
PEC_soil <- function(rate, rate_units = "g/ha", interception = 0,
mixing_depth = 5,
PEC_units = "mg/kg", PEC_pw_units = "mg/L",
interval = NA, n_periods = Inf,
tillage_depth = 20,
chent = NA,
DT50 = NA,
Koc = NA, Kom = Koc / 1.724,
t_avg = 0,
scenarios = c("default", "EFSA_2015"),
porewater = FALSE)
{
rate_to_soil = (1 - interception) * rate
rate_units = match.arg(rate_units)
PEC_units = match.arg(PEC_units)
scenarios = match.arg(scenarios)
sce <- switch(scenarios,
default = data.frame(rho = 1.5, T_arr = NA, theta_fc = 0.2, f_om = 1.724 * 0.02,
f_sce = 1, f_mod = 1, row.names = "default"),
EFSA_2015 = if (porewater) soil_scenario_data_EFSA_2015[4:6, ]
else soil_scenario_data_EFSA_2015[1:3, ]
)
n_sce = nrow(sce)
soil_volume = 100 * 100 * (mixing_depth/100) # in m3
soil_mass = soil_volume * sce$rho * 1000 # in kg
# The following is C_T,ini from EFSA 2012, p. 22, but potentially with interception > 0
PEC_soil_ini = rate_to_soil * 1000 / soil_mass # in mg/kg
# Decide which DT50 to take, or set degradation to zero if no DT50 available
if (is.na(DT50) & is(chent, "chent")) {
if (all(is.na(sce$T_arr))) { # No temperature correction
DT50 <- subset(chent$soil_degradation_endpoints, destination == "PECsoil")$DT50
} else {
DT50 <- subset(chent$soil_degradation_endpoints, destination == "PECgw")$DT50
}
if (length(DT50) > 1) stop("More than one PECsoil DT50 in chent object")
if (length(DT50) == 0) DT50 <- Inf
}
k = log(2)/DT50
# Temperature correction of degradation (accumulation)
if (all(is.na(sce$T_arr))) { # No temperature correction
f_T = 1
} else {
# Temperature correction as in EFSA 2012 p. 23
f_T = ifelse(sce$T_arr == 0,
0,
exp(- (65.4 / 0.008314) * (1/(sce$T_arr + 273.15) - 1/293.15)))
}
# X is the fraction left after one period (EFSA guidance p. 23)
X = exp(- k * f_T * interval)
# f_accu is the fraction left after n periods (X + X^2 + ...)
f_accu = 0
if (!is.na(interval)) {
if (n_periods == Inf) {
f_accu = X/(1 - X)
} else {
for (i in 1:n_periods) {
f_accu = f_accu + X^i
}
}
}
f_tillage = mixing_depth / tillage_depth
PEC_background = f_accu * f_tillage * PEC_soil_ini
PEC_soil = (1 + f_accu * f_tillage) * PEC_soil_ini
# Get porewater PEC if requested
if (porewater) {
# If Kom is not specified, try to get K(f)oc
if (is.na(Kom)) {
# If Koc not specified, try to get K(f)oc from chent
if (is.na(Koc) & is(chent, "chent")) {
Koc <- soil_Kfoc(chent)
}
Kom <- Koc / 1.724
}
if (is.na(Kom)) stop("No Kom information specified")
PEC_soil = PEC_soil/((sce$theta_fc/sce$rho) + sce$f_om * Kom)
}
# Scenario adjustment factors
PEC_soil_sce = PEC_soil * sce$f_sce
# Model adjustment factors
PEC_soil_sce_mod = PEC_soil_sce * sce$f_mod
result <- matrix(NA, ncol = n_sce, nrow = length(t_avg),
dimnames = list(t_avg = t_avg, scenario = rownames(sce)))
result[1, ] <- PEC_soil_sce_mod
for (i in seq_along(t_avg)) {
t_av_i <- t_avg[i]
if (t_av_i > 0) {
# Equation 10 from p. 24 (EFSA 2015)
result[i, ] <- PEC_soil_sce_mod/(t_av_i * f_T * k) * (1 - exp(- f_T * k * t_av_i))
}
}
return(result)
}
