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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