Exercises in Basin Morphometry


Rivers carve basins and valleys in which they flow. Every river consists of a major trunk segment, fed by a number of mutually adjusted tributaries that diminish in size away from the trunk stream. The tributaries define a network of channels that drain water from a specific, finite area which constitutes the drainage basin or watershed of the river system.

The first step in basin morphometry involves delineating streams and watersheds, and getting some basic watershed properties such as area, slope, flow length, and stream network density. Traditionally this was done manually by using topographic/contour maps. The results obtained were neither accurate nor replicable. With the availability of digital elevation models (DEMs) and GIS tools, watershed properties can be extracted by using automated procedures. The processing of DEM to delineate watersheds is referred to as terrain pre-processing. In these exercises, we will use the results of such pre=processing in the form of delineated watershed, sub-watersheds, stream network and some other watershed characteristics that collectively describe the drainage patterns of a basin. The results from this exercise can be used for hydrologic modeling and deciphering active tectonics in the region.

The drainage basin is the fundamental landscape unit concerned with the collection and distribution of water and sediment. Each basin is separated from its neighbor by a divide, or interfluve. Thus, the basin can be viewed as a geomorphic system or unit which is inseparably linked with hillslope processes that contribute water and sediment to the river network depending upon the regional climate, underlying bedrock, tectonic regime, and land use by human activity. Any feature or portion of the basin can be considered a subsystem having its own unique set of processes, geology, and energy gains and losses. It is possible to measure the geometric properties of the basin which are influenced, apart from other factors, by the tectonic activity in the region. Thus on the basis of basin morphometry, it is possible to assess the active tectonic status of the basin, as indeed of the region surrounding the basin.

Furthermore, because it is possible to measure the amount of water entering the basin as precipitation and the volume leaving the basin as stream discharge, hydrologic events can be readily analyzed on a basinal scale. Likewise, much of the sediment produced within the basin is ultimately exported from the basin through the trunk river. Considered on a long temporal scale, the rate of lowering of the basin surface can be estimated.

Every basin possesses a quantifiable set of geometric properties that define the linear, areal, and relief characteristics of the watershed. These variables correlate with stream order, and various combinations of parameters obey statistical relationships that hold for a large number of basins. Two general types of numbers have been used to describe basin morphometry or network characteristics  - Linear scale measurements which allow size comparisons of topographic units, and measurements consisting of dimensionless numbers, often derived as ratios of length parameters. Linear parameters include the length of streams, relief, basin perimeter or basin length. The ratios may include length to width ratios, bifurcation ratios, relief ratios and valley width to height ratios. These measures permit comparisons of basins or networks.

Basin morphometric parameters play an important role in hydrological processes, as they largely control a catchment’s hydrologic response. Their analysis becomes significant when studying runoff reaction to intense rainfall, especially in the case of ungauged, flash flood prone basins. Morphometric parameters are also influenced by the presence of and activity along structural and tectonic features, for instance long straight segments of stream reaches are located along faults, or a highly elongated basin may be developing along an active fault system. For these exercises we have selected the Goriganga River Basin in Eastern Kumaon Himalaya, tectonically one of the most active regions in the world, and also one that receives high rainfall. The exercises dispensed through this site take advantage of GIS assisted computation of morphometric characteristics like Channel Sinuosity, Form Factor, Basin Asymmetry, Drainage Density, Elongation Ratio, Hypsometric Integral, Valley Floor Width to Height Ratio, Relief Ratio, etc. to  subsequently use these indices to predict hydrological and tectonic characteristics of the Goriganga Basin.

Methodology Adopted for Computation of Morphometric Parameters

Morphometric parameter



Channel Sinuosity (Cs)

Cs = Sl/Vl, WhereSl = Stream length, Vl = Valley length

Muller (1968)

Form Factor (Ff)

Ff = A/Lb², Where
A = Area of the basin (km2),
Lb² = Square of basin length

Horton (1932)

Basin Asymmetry (Af)

Af = 100 (Ar/At), Where
Ar = area to the right of the basin (looking downstream)
At = Total area of basin

Hare and Gardner (1985)

Drainage Density (Dd)

Dd = Lu/A, Where
Lu = Total stream length of all orders,
A = Area of basin (km2)

Horton (1932)


Elongation Ratio (Re)

Re = 2√(A/π)/Lb, Where
A = Area of the basin (km2)
Lb = Basin length

Schumm (1956)

Hypsometric Integral (Hi)

HI = (ELmean - ELmin) / (ELmax - ELmin) Where
 ELmean is the mean elevation, ELmin the minimum and ELmax the maximum elevation

Strahler (1952)

Valley Floor Width to Height Ratio (Vf)

Vf = 2VFw/ (Eld-Esc) + (Erd-Esc), Where
Vfw = width of valley floor,
Eld and Erd = Elevation of left and right valley divides,
Esc = Elevation of valley floor

Bull & McFadden (1977)

Relief Ratio (Rr)

Rr = H/Lb, Where
H = Total relief of the  basin in kilometers
Lb = Basin length

Schumm (1956)



For these exercises in basin morphometry, digital elevation models (DEMs) derived from
the Advanced Spaceborne Thermal Emission and Reflection Radiometer (ASTER) were used. The boundary of the Goriganga River, as also 32 sub-basins within this, and the drainage network on a fairly detailed scale have already been delineated using standard procedures.

Map showing the location and extent of the Goriganga Basin.

All the data that is necessary for these exercises can be downloaded from here:

DEM of the area around the Goriganga River

Outline of the Goriganga Basin

32 sub-basins of the Goriganga River

Drainage network of the Goriganga River


EXERCISE 1: Determine the minimum and maximum elevation and Slope statistics for each of the 32 sub-basins of the Goriganga River.

Step 1: With the DEM and sub-basins layers displayed, select a sub-basin with the digitizer tool.

Step 2: Right click on the selected sub-basin and select Calculate Elevation/Slope Stats for selected Area/Line(s)...

Step 3: From the Results panel, note down the information in Table 1 for your practical record:

Elevation and Slope Statistics for the Goriganga Basin
Eastern Kumaon Himalaya
Basin ID Name of Basin Min. Elevation

Max. Elevation

Avg. Elevation Max. Slope Avg. Slope


EXERCISE 2: Calculate the drainage density of all the 32 sub-basins of the Goriganga River.

Step 1: Measure the area of the sub-basin - Select the sub-basin with the digitizer tool - Right clock - MEASURE - Display feature measurements.

Step 2: Measure the length of streams within the sub-basin - Display the drainage layer (gori_drainage) - Right click within the selected sub-basin - Advanced Selection Options - Select all line features within the selecter area(s) - Yes - select only completely inside - Right click - MEASURE - Display feature measurements.

Step 3: Calculate the drainage density of the sub-basin by dividing the total length of streams within the sub-basin by the total area.

Record your results for all the 32 sub-basins in the format given in Table 2:

Drainage Density for the 32 Sub-Basins of the Goriganga
Eastern Kumaon Himalaya
Basin ID Name of Basin Area (Km2)

Total length of Streams (Km)

Drainage Density


Notes & Handouts

The Himalayas

Kumaon Himalayas

Askot Basemetals



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S. Farooq

Department of Geology

Aligarh Muslim University, Aligarh - 202 002 (India)

Phone: 91-571-2721150

email: farooq.amu@gmail.com