Dominant Processes in Catchment Hydrologic Response

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Dominant Processes in Catchment
Hydrologic Response
Background Summary of Papers Catskills
Data Discussion
0.36
0.36
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Convolution Concept
Streamflow
Travel Time Distribution pdf
Precip Input
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Width Function
x3
x2
x2
x2
x1
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Rinaldo et al. Can One Gauge the Shape of a Basin?
Observation 1 Fractal structure doesnt
necessarily yield a fractal signal.
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Rinaldo et al. Can One Gauge the Shape of a Basin?
Fig 6
Fig 7
uh/uc0.1 D0.05
uh/uc1 D0
uh/uc0.1 D0
uh/uc0.1 D0.2
W(x)
Observation 2 Hillslope velocity component also
transforms f(t).
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Observation 3 Dynamic components of system
significantly transform response, limiting
possibility of inverse method (i.e. going from
hydrology to morphology).
No!
Can One Gauge the Shape of a Basin?
Observation 4 Observations of single events of
limited value, but Kirchners spectral methods
are actually revealing.
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Botter Rinaldo. Scale Effect on Geomorphologic
and Kinematic Dispersion
velocity drawn from different distributions
Path 1
Path 2
constant velocity
- as many paths as unique starting sites
Observation 1 Simple models for assigning
hillslope velocities can provide useful insights
into travel time distributions.
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Observation 2 By drawing from unquenched
velocity distribution, we can generate long
tails.
Observation 3 For long tails, no specific
process is demanded. We need to supply it.
t (104)
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Area (km2)
Observation 4 Hillslope processes dominate f(t)
even at relatively large spatial scales since
hillslope processes are much slower than channel
processes.
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Back to Kirchner
Kirchner et al. 2001
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J. Taylor, 2006, PhD Thesis
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J. Taylor, 2006, PhD Thesis
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Does Kirchner have a unique catchment not
transferable to other locations?
If streamflow is 1/f in most catchments, can we
still separate out other solute transport
processes?
Instead of calling Kirchners observed process
fractal, should we just say it is indicative of
long-term power-law correlation?
Are there biological or chemical processes
present? What does response look like for
non-conservative solutes?
Is there a way to assess degree of heterogeneity
in system without really understanding underlying
processes?
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Estimating Travel Time Distribution
Simplest means of calculating p(?)
Hatano Hatano. 1998.WRR