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Stream Classification and Metrics
Mathematical relationships
Linear
Areal
Relief
Linear Morphology - Channel Ordering Systems
11
More Stream Ordering systems:
https://svn.osgeo.org/grass/grass-addons/grass7/raster/r.stream.order/r.stream.order.html
Horton – applies to stream as a whole, not segments
Hack – based on sub-catchment, numbering reversed
Topological – based on topo difference of each segment from catchment outlet
Horton’s Law – streams with higher stream order have
greater stream length and basin size
Strahler Shreve
Remember Hydraulic Geometric changes with Q ~ f(W,D,V)
Changes from Uplands to Lowlands
Bifurcation ratio
Rb =
No
No+1
Linear Morphometric Relationships
Relationship to:
Drainage density?
Stream segment lengths?
Drainage pattern?
# stream segments in an order, divided by the # in
the next higher order (using the Stahler method)
Drainage Density
D = SL
A
Spacing of streams
Linked to infiltration capacity – how?
Areas with greatest D ?
Area Morphometric Relationships
D = drainage density
SL = total drainage length
A = Area of drainage basin
Influence of underlying lithology
Influence of time and drainage development
High drainage
density
Low drainage
density
Relief Morphology
Relief Ratio
Rh =
Max relief within basin
Longest distance parallel to stream
Remember sediment yield =
fxn of relief and slope
Relief Morphology
Hypsometry
Distribution of elevation in a drainage basin
Hypsometric Curve
Plot of relative elevation vs relative area
Tells you how much of drainage basin is within
a certain elevation
Basin Hypsometry
Ch 14 – text book
Hypsometric Integral
Shape of the hypsometric curve
Expresses as % the volume of the original basin
that remains (area under the Hypsometric curve)
20-80% higher values indicate that a large area
of the original basin has not been
altered into slopes (eroded)
May relate to landscape evolution
These morphometric relationships should be constant
amongst drainages in a given setting
Hypsometric Integral/Curve
Driving vs Resisting forces
i.e. Bear River Range
If not the same, why?

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24 Catchment morphometrics-2.pptx