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Desertification Indicator System for Mediterranean Europe


1. Definition

Name DRAINAGE DENSITY
Brief definition A measure of the length of stream channel per unit area of drainage basin
Unit of measure km-¹
Spatial scale Watershed
Temporal scale  

2. Position within the logical framework DPSIR

Type of Indicator State

3. Target and political pertinence

Objective The measurement of drainage density provides a hydrologist or geomorphologist with a useful numerical measure of landscape dissection and run-off potential.
Importance with respect to desertification Drainage density is considered to be an important index; it is a measure of the texture of the network, and indicates the balance between the erosive power of overland flow and the resistance of surface soils and rocks. Also, a good estimate of gullies development can be determined in any similar lithologic formation using daily rainfall data in any period of time starting from a known drainage network length. Gully erosion contributes to various problems including: the extension of badlands area, the loss of the topsoil, the increase of the drainage network length, and the accelerated decrease of the cropped lands.
International Conventions and agreements The American hydraulic engineer and hydrologist Robert E. Horton was the first to establish a quantitative method for analysing drainage networks. Stream order, developed in the early 1940s, ranks streams hierarchically. In 1945 Horton developed statistical "laws" of drainage network composition relating stream order, number, length, and drainage area. Hortons laws, as they became known, were subsequently modified and developed, most notably by the American researchers.
Secondary objectives of the indicator Drainage density is one of the factors describing the drainage basin morphometry in addition to basin area, length, shape, and relief attributes. The pattern of natural drainage has been studied in relation to the drainage density and drainage basin characteristics which can be quantified and used in rainfall-run-off modelling and in the interpretation of river discharge; to the nature of the drainage network including the pattern of the drainage and also the stream order; and to the evolution of the drainage pattern.

4. Methodological description and basic definitions

Definitions and basic concepts

The drainage density is the measure of the length of stream channel per unit area of drainage basin. Mathematically it is expressed as:

drainage density = stream length / basin area

A drainage network is a system of interconnected stream channels found in a drainage basin.

A drainage basin is a land surface region drained by a length of stream channel.

Closer investigations of the processes responsible for drainage density variation have discovered that a number of factors collectively influence stream density. These factors include climate, topography, soil infiltration capacity, vegetation, and geology.

Benchmarks Indication of the values/ranges of value Values range from about 5 km of channel per sq km (8 mi per sq mi) on erosion-resistant, permeable sandstones, to 500 km per sq km (810 mi per sq mi) on highly erodible, impermeable clays. Run-off production and peak flows increase markedly with drainage density.Other investigators sustain that a highly permeable landscape, with small potential for runoff, drainage densities are sometimes less than 1 kilometre per square kilometre. On highly dissected surfaces, densities of over 500 kilometres per square kilometre are often reported.
Methods of measurement

When calculating the stream length one of the first attributes to be quantified is the hierarchy of stream segments according to an ordering classification system. In this system, channel segments are ordered numerically from the headwaters to a point somewhere downstream. Numerical ordering begins with the tributaries at the headwaters being assigned the value 1. A stream segment that resulted from the joining of two 1st order segments is given an order of 2. Two 2nd order streams formed a 3rd order stream, and so on. Analysis of this data reveals some interesting relationships. For example, the ratio between the number of stream segments in one order and the next, called the bifurcation ratio, is consistently around three. R.E. Horton called this association the law of stream numbers.

Order No. of segments
1 10
2 3
3 1
Example of stream ordering and the calculation of bifurcation ratio

The current way of measuring the basin area is through the planimetry of the plane surface in the map. Because the accurate determination of the basin depends on the precision of the cartography, and in order not to omit the small streams that would change not only the length but the surface as well, the recommended scale would be around 1:10.000 and 1:50.000.

Limits of the indicator The indicator lacks of homogeneity because it is not easy to establish the order of streams for which information is to be provided. It depends completely on the scale of the map on which the length of the stream is calculated. It is possible that some of the smaller streams might be ignored due to a lack of accuracy in the maps. Therefore, it is very difficult to make comparisons between different basins unless the working scale is the same.
Linkages with other indicators

Infiltration capacity, Rainfall run-off relationship, Rainfall erosivity, Soil erosion

5. Evaluation of data needs and availability

Data required to calculate the indicator Complete scheme of the basin water. It is important to establish the scale of the map.
Data sources The accurate data needed could be provided by the River Basin Authorities, and also the National Hydrological Plan in its different applications for the various European basins. However, a good cartographic background and support is enough for a basic calculation.
Availability of data from national and international sources National Cartographic Services. River Basin Authorities.

6. Institutions that have participated in developing the indicator

Main institutions responsible Dirección General para la Biodiversidad. Ministerio de Medio Ambiente. Spain.
Other contributing organizations  

7. Additional information

Bibliography

LOPEZ CADENAS DE LLANO,F. y MINTEGUI AGUIRRE J.A. (1986) Hidrología de Superficie, Tomo I. Fundación Conde del Valle del Salazar, pp.399-405

PARACCHINI M.L. et al. 2004 Development of a pan-European database of rivers and catchments: a GIS application in support to European water monitoring activities. From " Workshop on 'Identification of the current status and needs of GIS and databases technology in the agricultural sector sector - GIS for analysis and monitoring of land use and land/water quality'. On-Line: www.proland.iung.pulawy.pl/Materials/WP1/Paracchini.doc

FELFOUL M.S. et al. (1999) Assessment of the influence of the lithology and rainfall events on gully erosion in Oued Maiez - Watershed in central Tunisia. From 2ND INTER-REGIONAL CONFERENCE ON ENVIRONMENT-WATER 99. On-Line: www.wca-infonet.org/cds_static/assessment_influence_lithology_rainfall_events__9377_25893.html

Fundamentals of Physical Geography. Chapter 10: Introduction to the Lithosphere- Stream Morphometry". 2004. Coordinator: Dr. Michael Pidwirny, Department of Geography, Okanagan University College. On-Line: www.geog.ouc.bc.ca/physgeog/contents/chapter11.html

BURNETTE, L.(2002) Effects of Lithology on Elevation, Slope, and Drainage Density. Spatial Analysis for Resource Management - Division of Resource Management Davis College of Agriculture, Forestry and Consumer Sciences West Virginia University. On-Line: www.nrac.wvu.edu/rm493-591/fall2002/students/Burnette/index.htm

Other references Plan Hidrológico Nacional. España. Ministerio de Medio Ambiente. Hydrological Plans for the main Spanish Basins
Contacts Name and address Leopoldo Rojo Serrano
Dirección General para la Biodiversidad
Ministerio de Medio Ambiente
Gran Vía de San Francisco
428005 Madrid (Spain)
email: <lrojo@mma.es>