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authorJohannes Ranke <jranke@uni-bremen.de>2020-05-07 22:13:33 +0200
committerJohannes Ranke <jranke@uni-bremen.de>2020-05-07 22:14:19 +0200
commit92bd33824bde6b6b21bfc7e30953092a74d3cce5 (patch)
treebb2e08ef15d8a4f4f7b04cf4f5312ec861ec1d1c /man/logistic.solution.Rd
parent67c8163487e776e9a378c9dfcd39c74f6e6bc507 (diff)
Another overhaul of analytical solutions
Still in preparation for analytical solutions of coupled models
Diffstat (limited to 'man/logistic.solution.Rd')
-rw-r--r--man/logistic.solution.Rd52
1 files changed, 6 insertions, 46 deletions
diff --git a/man/logistic.solution.Rd b/man/logistic.solution.Rd
index 589ee8ec..33b3d44a 100644
--- a/man/logistic.solution.Rd
+++ b/man/logistic.solution.Rd
@@ -1,12 +1,10 @@
% Generated by roxygen2: do not edit by hand
-% Please edit documentation in R/logistic.solution.R, R/parent_solutions.R
+% Please edit documentation in R/parent_solutions.R
\name{logistic.solution}
\alias{logistic.solution}
\title{Logistic kinetics}
\usage{
logistic.solution(t, parent_0, kmax, k0, r)
-
-logistic.solution(t, parent_0, kmax, k0, r)
}
\arguments{
\item{t}{Time.}
@@ -18,8 +16,6 @@ logistic.solution(t, parent_0, kmax, k0, r)
\item{k0}{Minumum rate constant effective at time zero.}
\item{r}{Growth rate of the increase in the rate constant.}
-
-\item{parent.0}{Starting value for the response variable at time zero.}
}
\value{
The value of the response variable at time \code{t}.
@@ -27,16 +23,10 @@ The value of the response variable at time \code{t}.
\description{
Function describing exponential decline from a defined starting value, with
an increasing rate constant, supposedly caused by microbial growth
-
-Function describing exponential decline from a defined starting value, with
-an increasing rate constant, supposedly caused by microbial growth
}
\note{
The solution of the logistic model reduces to the
\code{\link{SFO.solution}} if \code{k0} is equal to \code{kmax}.
-
-The solution of the logistic model reduces to the
- \code{\link{SFO.solution}} if \code{k0} is equal to \code{kmax}.
}
\examples{
@@ -74,43 +64,13 @@ The solution of the logistic model reduces to the
summary(m)$bpar
endpoints(m)$distimes
-
- # Reproduce the plot on page 57 of FOCUS (2014)
- plot(function(x) logistic.solution(x, 100, 0.08, 0.0001, 0.2),
- from = 0, to = 100, ylim = c(0, 100),
- xlab = "Time", ylab = "Residue")
- plot(function(x) logistic.solution(x, 100, 0.08, 0.0001, 0.4),
- from = 0, to = 100, add = TRUE, lty = 2, col = 2)
- plot(function(x) logistic.solution(x, 100, 0.08, 0.0001, 0.8),
- from = 0, to = 100, add = TRUE, lty = 3, col = 3)
- plot(function(x) logistic.solution(x, 100, 0.08, 0.001, 0.2),
- from = 0, to = 100, add = TRUE, lty = 4, col = 4)
- plot(function(x) logistic.solution(x, 100, 0.08, 0.08, 0.2),
- from = 0, to = 100, add = TRUE, lty = 5, col = 5)
- legend("topright", inset = 0.05,
- legend = paste0("k0 = ", c(0.0001, 0.0001, 0.0001, 0.001, 0.08),
- ", r = ", c(0.2, 0.4, 0.8, 0.2, 0.2)),
- lty = 1:5, col = 1:5)
-
- # Fit with synthetic data
- logistic <- mkinmod(parent = mkinsub("logistic"))
-
- sampling_times = c(0, 1, 3, 7, 14, 28, 60, 90, 120)
- parms_logistic <- c(kmax = 0.08, k0 = 0.0001, r = 0.2)
- d_logistic <- mkinpredict(logistic,
- parms_logistic, c(parent = 100),
- sampling_times)
- d_2_1 <- add_err(d_logistic,
- sdfunc = function(x) sigma_twocomp(x, 0.5, 0.07),
- n = 1, reps = 2, digits = 5, LOD = 0.1, seed = 123456)[[1]]
-
- m <- mkinfit("logistic", d_2_1, quiet = TRUE)
- plot_sep(m)
- summary(m)$bpar
- endpoints(m)$distimes
-
}
\references{
+FOCUS (2006) \dQuote{Guidance Document on Estimating Persistence
+ and Degradation Kinetics from Environmental Fate Studies on Pesticides in
+ EU Registration} Report of the FOCUS Work Group on Degradation Kinetics,
+ EC Document Reference Sanco/10058/2005 version 2.0, 434 pp,
+ \url{http://esdac.jrc.ec.europa.eu/projects/degradation-kinetics}
FOCUS (2014) \dQuote{Generic guidance for Estimating Persistence
and Degradation Kinetics from Environmental Fate Studies on Pesticides in
EU Registration} Report of the FOCUS Work Group on Degradation Kinetics,

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