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Digital Elevation Model Based Watershed and Stream Network Delineation n Conceptual Basis n Eight direction pour point model (D8) n Flow accumulation n Pit removal and DEM reconditioning n Stream delineation n Catchment and watershed delineation n Geomorphology, topographic texture and drainage density n Generalized and objective stream network delineation n Reading – Arc Hydro Chapter 4
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Duality between Terrain and Drainage Network Flowing water erodes landscape and carries away sediment sculpting the topography Topography defines drainage direction on the landscape and resultant runoff and streamflow accumulation processes
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ArcHydro Page 57 Watershed divide Drainage direction Outlet 1:24,000 scale map of a study area in West Austin Topography defines watersheds which are fundamentally the most basic hydrologic landscape elements.
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DEM Elevations Contours 720 700 680 740 680700720740 720
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Hydrologic Terrain Analysis n Based on an information model for the topographic representation of downslope flow derived from a DEM n Enriches the information content of digital elevation data. u Sink removal u Flow field derivation u Calculating of flow based derivative surfaces
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807463 696756 605248 807463 696756 605248 30 Slope: Hydrologic Slope - Direction of Steepest Descent 30 ArcHydro Page 70
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32 16 8 64 4 128 1 2 Eight Direction Pour Point Model ESRI Direction encoding ArcHydro Page 69
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22448 1216 12484 1281248 21444 11 Flow Direction Grid 32 16 8 64 4 128 1 2 ArcHydro Page 71
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Flow Direction Grid 32 16 8 64 4 128 1 2
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Grid Network ArcHydro Page 71
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00000 0 0 0 0 0 0 0 0 032 2 11 1 1 15 25 24 1 00 0 00 0 0 0 0 0 0 0 0 0 322 11 1 1 1 2 15 245 Flow Accumulation Grid. Area draining in to a grid cell LinkLink to Grid calculator ArcHydro Page 72
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Contributing Area Grid 11111 1 1 1 1 1 1 1 1 143 3 12 2 2 3 2 16 6 25 11 1 11 1 1 1 1 1 1 1 1 1 433 12 2 2 2 3 16 256 TauDEM convention. The area draining each grid cell including the grid cell itself.
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00 0 00 0 0 0 0 0 0 0 0 0 322 11 1 1 1 2 15 245 Flow Accumulation > 5 Cell Threshold
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Stream Network for 5 cell Threshold Drainage Area 00000 0 0 0 0 0 0 0 0 032 2 11 1 1 15 25 24 1
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Streams with 200 cell Threshold (>18 hectares or 13.5 acres drainage area)
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Watershed Draining to Outlet
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Watershed and Drainage Paths Delineated from 30m DEM Automated method is more consistent than hand delineation
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The Pit Removal Problem DEM creation results in artificial pits in the landscape A pit is a set of one or more cells which has no downstream cells around it Unless these pits are removed they become sinks and isolate portions of the watershed Pit removal is first thing done with a DEM
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Increase elevation to the pour point elevation until the pit drains to a neighbor Pit Filling
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Lower elevation of neighbor along a predefined drainage path until the pit drains to the outlet point Carving
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Filling Carving Minimizing Alterations
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+ = Take a mapped stream network and a DEM Make a grid of the streams Raise the off-stream DEM cells by an arbitrary elevation increment Produces "burned in" DEM streams = mapped streams “Burning In” the Streams
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AGREE Elevation Grid Modification Methodology – DEM Reconditioning
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00000 0 0 0 0 0 0 0 0 032 2 11 1 1 15 25 24 1 Stream Segments
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ArcHydro Page 74 Stream links grid for the San Marcos subbasin 172 201 204 202 206 203 209 Each link has a unique identifying number
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Vectorized Streams Linked Using Grid Code to Cell Equivalents Vector Streams Grid Streams ArcHydro Page 75
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DrainageLines are drawn through the centers of cells on the stream links. DrainagePoints are located at the centers of the outlet cells of the catchments ArcHydro Page 75
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Catchments For every stream segment, there is a corresponding catchment Catchments are a tessellation of the landscape through a set of physical rules
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Raster Zones and Vector Polygons Catchment GridID Vector Polygons DEM GridCode Raster Zones 3 4 5 One to one connection
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Catchments, DrainageLines and DrainagePoints of the San Marcos basin ArcHydro Page 75
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Adjoint catchment: the remaining upstream area draining to a catchment outlet. ArcHydro Page 77
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Catchment, Watershed, Subwatershed. ArcHydro Page 76 Watershed outlet points may lie within the interior of a catchment, e.g. at a USGS stream-gaging site. Catchments Subwatersheds Watershed
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Summary of Key Processing Steps [DEM Reconditioning] Pit Removal (Fill Sinks) Flow Direction Flow Accumulation Stream Definition Stream Segmentation Catchment Grid Delineation Raster to Vector Conversion (Catchment Polygon, Drainage Line, Catchment Outlet Points)
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Arc Hydro Tools Distributed free of charge from ESRI Water Resources Applications Version 1.2 Latest release http://support.esri.com/index.cfm?fa=downloads. dataModels.filteredGateway&dmid=15 http://support.esri.com/index.cfm?fa=downloads. dataModels.filteredGateway&dmid=15 Version 1.3 Beta: ftp://RiverHydraulics:river.1114@ftp.esri.com ftp://RiverHydraulics:river.1114@ftp.esri.com Start with a DEM Produce a set of DEM-derived raster products Convert these to vector (point, line, area) features Add and link Arc Hydro attributes Compute catchment characteristics
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Delineation of Channel Networks and Catchments 500 cell theshold 1000 cell theshold
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How to decide on stream delineation threshold ? AREA 1 AREA 2 3 12 Why is it important?
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Hydrologic processes are different on hillslopes and in channels. It is important to recognize this and account for this in models. Drainage area can be concentrated or dispersed (specific catchment area) representing concentrated or dispersed flow.
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Examples of differently textured topography Badlands in Death Valley. from Easterbrook, 1993, p 140. Coos Bay, Oregon Coast Range. from W. E. Dietrich
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Logged Pacific Redwood Forest near Humboldt, California
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Canyon Creek, Trinity Alps, Northern California. Photo D K Hagans
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Gently Sloping Convex Landscape From W. E. Dietrich
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Mancos Shale badlands, Utah. From Howard, 1994.
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Topographic Texture and Drainage Density Same scale, 20 m contour interval Sunland, CA Driftwood, PA
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Lets look at some geomorphology. Drainage Density Horton’s Laws Slope – Area scaling Stream Drops “landscape dissection into distinct valleys is limited by a threshold of channelization that sets a finite scale to the landscape.” (Montgomery and Dietrich, 1992, Science, vol. 255 p. 826.) Suggestion: One contributing area threshold does not fit all watersheds.
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Drainage Density D d = L/A Hillslope length 1/2D d L B B Hillslope length = B A = 2B L D d = L/A = 1/2B B= 1/2D d
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Drainage Density for Different Support Area Thresholds EPA Reach Files100 grid cell threshold1000 grid cell threshold
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Drainage Density Versus Contributing Area Threshold
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Hortons Laws: Strahler system for stream ordering 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 3
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Bifurcation Ratio
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Area Ratio
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Length Ratio
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Slope Ratio
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Constant Stream Drops Law Broscoe, A. J., (1959), "Quantitative analysis of longitudinal stream profiles of small watersheds," Office of Naval Research, Project NR 389-042, Technical Report No. 18, Department of Geology, Columbia University, New York.
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Stream Drop Elevation difference between ends of stream Note that a “Strahler stream” comprises a sequence of links (reaches or segments) of the same order Nodes Links Single Stream
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Suggestion: Map channel networks from the DEM at the finest resolution consistent with observed channel network geomorphology ‘laws’. Look for statistically significant break in constant stream drop property as stream delineation threshold is reduced Break in slope versus contributing area relationship Physical basis in the form instability theory of Smith and Bretherton (1972), see Tarboton et al. 1992
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Statistical Analysis of Stream Drops
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T-Test for Difference in Mean Values 72130 0 T-test checks whether difference in means is large (> 2) when compared to the spread of the data around the mean values
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Constant Support Area Threshold
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100 grid cell constant support area threshold stream delineation
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200 grid cell constant support area based stream delineation
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Local Curvature Computation (Peuker and Douglas, 1975, Comput. Graphics Image Proc. 4:375) 43 41 48 47 48 4754 51 54 5156 58
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Contributing area of upwards curved grid cells only
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Upward Curved Contributing Area Threshold
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Curvature based stream delineation
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Channel network delineation, other options 4 5 6 3 7 2 1 8 11 1 11 1 1 1 1 1 1 1 1 1 433 12 2 2 2 3 16 256 Contributing Area 11 1 11 1 1 1 1 1 1 1 1 1 222 3 1 1 1 2 3 32 Grid Order
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Grid network pruned to order 4 stream delineation
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Slope area threshold (Montgomery and Dietrich, 1992).
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TauDEM - Channel Network and Watershed Delineation Software Pit removal (standard flooding approach) Flow directions and slope –D8 (standard) –D (Tarboton, 1997, WRR 33(2):309) –Flat routing (Garbrecht and Martz, 1997, JOH 193:204) Drainage area (D8 and D ) Network and watershed delineation –Support area threshold/channel maintenance coefficient (Standard) –Combined area-slope threshold (Montgomery and Dietrich, 1992, Science, 255:826) –Local curvature based (using Peuker and Douglas, 1975, Comput. Graphics Image Proc. 4:375) Threshold/drainage density selection by stream drop analysis (Tarboton et al., 1991, Hyd. Proc. 5(1):81) Other Functions: Downslope Influence, Upslope Dependence, Wetness index, distance to streams, Transport limited accumulation Available from http://www.engineering.usu.edu/dtarb/
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Summary Concepts The eight direction pour point model approximates the surface flow using eight discrete grid directions The elevation surface represented by a grid digital elevation model is used to derive surfaces representing other hydrologic variables of interest such as –Slope –Flow direction –Drainage area –Catchments, watersheds and channel networks
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Summary Concepts (2) Hydrologic processes are different between hillslopes and channels Drainage density defines the average spacing between streams and the representative length of hillslopes The constant drop property provides a basis for selecting channel delineation criteria to preserve the natural drainage density of the topography Generalized channel delineation criteria can represent spatial variability in the topographic texture and drainage density
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Are there any questions ? AREA 1 AREA 2 3 12
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