First-Order Multi-Compartment kinetics

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Description

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

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.

Usage

1
FOMC(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.

Value

The value of the response variable at time t.

Note

The FOMC kinetic model reduces to the SFO kinetic model for large values of alpha and beta with k = beta/alpha.

Author(s)

Johannes Ranke

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://focus.jrc.ec.europa.eu/dk

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

Examples

1
  ## Not run: plot(function(x) FOMC(x, 100, 10, 2), 0, 2)

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