Description Usage Arguments Details Author(s) References

According to getMeanTransitTime to we define the related density:

1 2 | ```
getTransitTimeDistributionDensity(object, inputDistribution,
times)
``` |

`object` |
a protoDecompOp Object |

`inputDistribution` |
a vector of length equal to the number of pools. The entries are weights. That means that their sume must be equal to one! |

`times` |
the times for which the distribution density is sought |

Given a system described by
the complete history of inputs *\mathbf{I}(t)*
for *t\in (t_{start},t_0)*
to all pools until time *t_0*
and
the cumulative output *O(t_0)*
of all pools at time *t_0*
the transit time density *ψ_{t_0}(T) *
**of the system**
**at time** *t_0* is the probability density
with respect to *T* implicitly defined by

*\bar T_{t_0} = \int_0^{t-t_{start}} ψ_{t_0}(T) T \;dT*

Carlos A. Sierra, Markus Mueller

Manzoni, S., G.G. Katul, and A. Porporato. 2009. Analysis of soil carbon transit times and age distributions using network theories. Journal of Geophysical Research-Biogeosciences 114, DOI: 10.1029/2009JG001070.

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