SoilR (version 1.0-3)

getTransitTimeDistributionDensity: access to the transit time distribution

Description

This function computes the transit time distribution density for a given Decomposition Operator by computing the output (respiration) of the system according to an instantaneous input.

Usage

getTransitTimeDistributionDensity(object, inputDistribution, 
    times)

Arguments

object

inputDistribution

to one!.

times

Details

Let $O(t)$ describe the overall output flux of the system. One can imagine $O(t)$ as a weighted sum of previous inputs $I(t-T)$. The weights for this summation are described by the transit time distribution density $\psi(T)$ where $T$ is the transit time, the time from entry to exit of a particle. This is expressed by the following relation: $O(t)=\int_0^\infty \psi(T) I(t-T) dT$ For an instantaneous input $I(t-T)=\delta(t-T)$ the transit time distribution density becomes equal to the output of the system, the respiration rate. we can therefore compute the transfer time distribution by applying our Decomposition Operator to an instantaneous imput, which is realized by an inputrate of zero and startvalues of one.

References

1.)