1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
|
% Generated by roxygen2: do not edit by hand
% Please edit documentation in R/parent_solutions.R
\name{FOMC.solution}
\alias{FOMC.solution}
\title{First-Order Multi-Compartment kinetics}
\usage{
FOMC.solution(t, parent_0, alpha, beta)
}
\arguments{
\item{t}{Time.}
\item{parent_0}{Starting value for the response variable at time zero.}
\item{alpha}{Shape parameter determined by coefficient of variation of rate
constant values.}
\item{beta}{Location parameter.}
}
\value{
The value of the response variable at time \code{t}.
}
\description{
Function describing exponential decline from a defined starting value, with
a decreasing rate constant.
}
\details{
The form given here differs slightly from the original reference by
Gustafson and Holden (1990). The parameter \code{beta} corresponds to 1/beta
in the original equation.
}
\note{
The solution of the FOMC kinetic model reduces to the
\code{\link{SFO.solution}} for large values of \code{alpha} and \code{beta}
with \eqn{k = \frac{\beta}{\alpha}}{k = beta/alpha}.
}
\examples{
plot(function(x) FOMC.solution(x, 100, 10, 2), 0, 2, ylim = c(0, 100))
}
\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,
Version 1.1, 18 December 2014
\url{http://esdac.jrc.ec.europa.eu/projects/degradation-kinetics}
Gustafson DI and Holden LR (1990) Nonlinear pesticide dissipation in soil:
A new model based on spatial variability. \emph{Environmental Science and
Technology} \bold{24}, 1032-1038
}
\seealso{
Other parent solutions:
\code{\link{DFOP.solution}()},
\code{\link{HS.solution}()},
\code{\link{IORE.solution}()},
\code{\link{SFO.solution}()},
\code{\link{SFORB.solution}()},
\code{\link{logistic.solution}()}
}
\concept{parent solutions}
|
