FOMC.solution {mkin}

First-Order Multi-Compartment kinetics

Description

Function describing exponential decline from a defined starting value, with a decreasing rate constant.

Usage

FOMC.solution(t, parent_0, alpha, beta)

Arguments

t

Time.

parent_0

Starting value for the response variable at time zero.

alpha

Shape parameter determined by coefficient of variation of rate constant values.

beta

Location parameter.

Details

The form given here differs slightly from the original reference by Gustafson and Holden (1990). The parameter beta corresponds to 1/beta in the original equation.

Value

The value of the response variable at time t.

Note

The solution of the FOMC kinetic model reduces to the SFO.solution for large values of alpha and beta with k = \frac{\beta}{\alpha}.

References

FOCUS (2006) “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, http://esdac.jrc.ec.europa.eu/projects/degradation-kinetics

FOCUS (2014) “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 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. Environmental Science and Technology 24, 1032-1038

See Also

Other parent solutions: DFOP.solution(), HS.solution(), IORE.solution(), SFO.solution(), SFORB.solution(), logistic.solution()

Examples

  plot(function(x) FOMC.solution(x, 100, 10, 2), 0, 2, ylim = c(0, 100))