Stream order

Last updated

The stream order or waterbody order is a positive whole number used in geomorphology and hydrology to indicate the level of branching in a river system.

Contents

There are various approaches [1] to the topological ordering of rivers or sections of rivers based on their distance from the source ("top down" [2] ) or from the confluence (the point where two rivers merge) or river mouth ("bottom up" [3] ), and their hierarchical position within the river system. As terminology, the words "stream" and "branch" tend to be used rather than "river".

Classic stream order

Classic stream order Classic-stream-order.svg
Classic stream order

The classic stream order, also called Hack's stream order or Gravelius' stream order, is a "bottom up" hierarchy that allocates the number "1" to the river with its mouth at the sea (the main stem). Stream order is an important aspect of a drainage basin. It is defined as the measure of the position of a stream in the hierarchy of streams. Tributaries are given a number one greater than that of the river or stream into which they discharge. So, for example, all immediate tributaries of the main stem are given the number "2". Tributaries emptying into a "2" are given the number "3" and so on. [4]

This type of stream order indicates the river's place in the network. It is suitable for general cartographic purposes, but can pose problems because at each confluence, a decision must be made about which of the two branches is a continuation of the main channel, and whether the main channel has its source at the confluence of two other smaller streams. The first order stream is the one which, at each confluence, has the greatest volumetric flow, usually reflecting the long-standing naming of rivers. Associated with this stream order system was the quest by geographers of the 19th century to find the "true" source of a river. In the course of this work, other criteria were discussed to enable the main stream to be defined. In addition to measuring the length of rivers (the distance between the farthest source and the mouth) and the size of the various catchments, geographers searched for the stream which deviated least at the actual confluence, as well as taking into account the successive names of rivers and their tributaries, such as the Rhine and the Aare or the Elbe and the Vltava.

Strahler stream order

Strahler stream order Strahler-stream-order.png
Strahler stream order

According to the "top down" system devised by Strahler, rivers of the first order are the outermost tributaries. If two streams of the same order merge, the resulting stream is given a number that is one higher. If two rivers with different stream orders merge, the resulting stream is given the higher of the two numbers. [5] [6]

The Strahler order is designed to reflect the morphology of a catchment and forms the basis of important hydrographical indicators of its structure, such as its bifurcation ratio, drainage density and frequency. Its basis is the watershed line of the catchment. It is, however, scale-dependent. The larger the map scale, the more orders of stream may be revealed. A general lower boundary for the definition of a "stream" may be set by defining its width at the mouth or, referencing a map, by limiting its extent. The system itself is also applicable for other small-scale structures outside of hydrology.

Shreve stream order

Shreve stream order Shreve-stream-order.png
Shreve stream order

The Shreve system also gives the outermost tributaries the number "1". Unlike the Strahler method, at a confluence the two numbers are added together. [7]

Shreve stream order is preferred in hydrodynamics: it sums the number of sources in each catchment above a stream gauge or outflow, and correlates roughly to the discharge volumes and pollution levels. Like the Strahler method, it is dependent on the precision of the sources included, but less dependent on map scale. It can be made relatively scale-independent by using suitable normalization and is then largely independent of an exact knowledge of the upper and lower courses of an area. [7]

Horton and topological stream orders

Other systems include the Horton stream order, an early top down system devised by Robert E. Horton, [8] and the topological stream order system, which is "a bottom up" system, and where the stream order number increases by one at every confluence. [4]

Comparison of classic stream order with Horton and Strahler methods

Classical or topological ordering systems are assigned a dimensionless numerical order of "one", starting at the mouth of a stream, which is its lowest elevation point. The vector order then increases as it traces upstream and converges with other smaller streams, resulting in a correlation of higher-order numbers to more highly elevated headwaters.

Horton proposed to establish a reversal of that order. Horton's 1947 research report established a stream ordering method based on vector geometry. In 1952, Arthur Strahler proposed a modification to Horton's method. Both Horton's and Strahler's methods established the assignment of the lowest order, number 1, starting at the river's headwater, which is the highest elevation point. Classical order number assignment correlates to height and elevation and traces upstream, but Horton and Strahler's stream ordering methods correlate to gravity flow and trace downstream.

Both Horton's and Strahler's stream ordering methods rely on principles of vector point-line geometry. Horton's and Strahler's rules form the basis of programming algorithms that interpret map data as queried by Geographic Information Systems.

Usage

The classic use of stream order is in general hydrological cartography. Stream order systems are also important for the systematic mapping of a river system, enabling the clear labelling and ordering of streams.

The Strahler and Shreve methods are particularly valuable for the modelling and morphometric analysis of river systems, because they define each section of a river. That allows the network to be separated at each gauge or outflow into upstream and downstream regimes, and for these points to be classified. These systems are also used as a basis for modelling the water budget using storage models or time-related, precipitation-outflow models and the like.

In the GIS-based earth sciences these two models are used because they show the graphical extent of a river object.

Research activity following Strahler's 1952 report has focused on solving some challenges when converting two-dimensional maps into three-dimensional vector models. One challenge has been to convert rasterized pixel images of streams into vector format. Another problem has been that map scaling adjustments when using GIS may alter the stream classification by a factor or one or two orders. Depending on the scale of the GIS map, some fine detail of the tree structure of a river system can be lost.

Research efforts by private industry, universities and federal government agencies such as the EPA and USGS have combined resources and aligned focus to study these and other challenges. The principal intent is to standardize software and programming rules so GIS data is consistently reliable at any map scale. To this end, both the EPA and USGS have spearheaded standardization efforts, culminating in the creation of The National Map. Both federal agencies, as well as leading private industry software companies have adopted Horton's and Strahler's stream order vector principles as the basis for coding logic rules built into the standardized National Map software.

See also

Related Research Articles

<span class="mw-page-title-main">Tributary</span> Stream or river that flows into a main stem river or lake

A tributary, or affluent, is a stream or river that flows into a larger stream or main stem river or a lake. A tributary does not flow directly into a sea or ocean. Tributaries and the main stem river drain the surrounding drainage basin of its surface water and groundwater, leading the water out into an ocean. The Irtysh is a chief tributary of the Ob river and is also the longest tributary river in the world with a length of 4,248 km (2,640 mi). The Madeira River is the largest tributary river by volume in the world with an average discharge of 31,200 m3/s (1.1 million cu ft/s).

<span class="mw-page-title-main">Orography</span> Study of the topographic relief of mountains

Orography is the study of the topographic relief of mountains, and can more broadly include hills, and any part of a region's elevated terrain. Orography falls within the broader discipline of geomorphology. The term orography comes from the Greek: όρος, hill, γραφία, to write.

<span class="mw-page-title-main">Drainage basin</span> Area of land where precipitation collects and drains off into a common outlet

A drainage basin is an area of land where all flowing surface water converges to a single point, such as a river mouth, or flows into another body of water, such as a lake or ocean. A basin is separated from adjacent basins by a perimeter, the drainage divide, made up of a succession of elevated features, such as ridges and hills. A basin may consist of smaller basins that merge at river confluences, forming a hierarchical pattern.

<span class="mw-page-title-main">River source</span> Starting point of a river

The headwater of a river or stream is the farthest point on each of its tributaries upstream from its mouth/estuary into a lake/sea or its confluence with another river. Each headwater is considered one of the river's source, as it is the place where surface runoffs from rainwater, meltwater and/or spring water begin accumulating into a more substantial and consistent flow that becomes a first-order tributary of that river. The tributary with the longest course downstream of the headwaters is regarded as the main stem of that river.

<span class="mw-page-title-main">Terrain</span> Vertical and horizontal dimension and shape of land surface

Terrain or relief involves the vertical and horizontal dimensions of land surface. The term bathymetry is used to describe underwater relief, while hypsometry studies terrain relative to sea level. The Latin word terra means "earth."

Robert Elmer Horton was an American hydrologist, geomorphologist, civil engineer, and soil scientist, considered by many to be the father of modern American hydrology. An eponymous medal is awarded by the American Geophysical Union (AGU) to recognize outstanding contributions to the field of hydrological geophysics. The AGU Hydrology section was formed largely due to his personal property that was bequeathed to AGU.

<span class="mw-page-title-main">Knickpoint</span> Point on a streams profile where a sudden change in stream gradient occurs

In geomorphology, a knickpoint or nickpoint is part of a river or channel where there is a sharp change in channel slope, such as a waterfall or lake. Knickpoints reflect different conditions and processes on the river, often caused by previous erosion due to glaciation or variance in lithology. In the cycle of erosion model, knickpoints advance one cycle upstream, or inland, replacing an older cycle. A knickpoint that occurs at the head of a channel is called a headcut. Headcuts resulting in headward erosion are hallmarks of unstable expanding drainage features such as actively eroding gullies.

Geomorphometry, or geomorphometrics, is the science and practice of measuring the characteristics of terrain, the shape of the surface of the Earth, and the effects of this surface form on human and natural geography. It gathers various mathematical, statistical and image processing techniques that can be used to quantify morphological, hydrological, ecological and other aspects of a land surface. Common synonyms for geomorphometry are geomorphological analysis, terrain morphometry, terrain analysis, and land surface analysis. Geomorphometrics is the discipline based on the computational measures of the geometry, topography and shape of the Earth's horizons, and their temporal change. This is a major component of geographic information systems (GIS) and other software tools for spatial analysis.

<span class="mw-page-title-main">Strahler number</span> Measure of branching complexity

In mathematics, the Strahler number or Horton–Strahler number of a mathematical tree is a numerical measure of its branching complexity.

<span class="mw-page-title-main">Arthur Newell Strahler</span>

Arthur Newell Strahler was a geoscience professor at Columbia University who in 1952 developed the Strahler Stream Order system for classifying streams according to the power of their tributaries.

Little Massabesic Brook and Sucker Brook form a 1.9-mile-long (3.1 km) stream located in southern New Hampshire in the United States. They are tributaries of Massabesic Lake, part of the Merrimack River and Gulf of Maine watersheds. Despite the streams' short length, they are subject to the New Hampshire Comprehensive Shoreland Protection Act, because of their fourth-order stream status.

<span class="mw-page-title-main">Hydrological transport model</span>

An hydrological transport model is a mathematical model used to simulate the flow of rivers, streams, groundwater movement or drainage front displacement, and calculate water quality parameters. These models generally came into use in the 1960s and 1970s when demand for numerical forecasting of water quality and drainage was driven by environmental legislation, and at a similar time widespread access to significant computer power became available. Much of the original model development took place in the United States and United Kingdom, but today these models are refined and used worldwide.

<span class="mw-page-title-main">Perennial stream</span> Type of river

A perennial stream is a stream that has continuous flow of surface water throughout the year in at least parts of its catchment during seasons of normal rainfall, as opposed to one whose flow is intermittent. In the absence of irregular, prolonged or extreme drought, a perennial stream is a watercourse, or segment, element or emerging body of water which continually delivers groundwater. For example, an artificial disruption of stream, variability in flow or stream selection associated with the activity in hydropower installations, do not affect this status. Perennial streams do not include stagnant water, reservoirs, cutoff lakes and ponds that persist throughout the year. All other streams, or parts of them, should be considered seasonal rivers or lakes. The stream can cycle from intermittent to perpetual through multiple iterations.

Integrated Land and Water Information System (ILWIS) is a geographic information system (GIS) and remote sensing software for both vector and raster processing. Its features include digitizing, editing, analysis and display of data, and production of quality maps. ILWIS was initially developed and distributed by ITC Enschede in the Netherlands for use by its researchers and students. Since 1 July 2007, it has been released as free software under the terms of the GPL-2.0-only license. Having been used by many students, teachers and researchers for more than two decades, ILWIS is one of the most user-friendly integrated vector and raster software programmes currently available. ILWIS has some very powerful raster analysis modules, a high-precision and flexible vector and point digitizing module, a variety of very practical tools, as well as a great variety of user guides and training modules all available for downloading. The current version is ILWIS 3.8.6. Similar to the GRASS GIS in many respects, ILWIS is currently available natively only on Microsoft Windows. However, a Linux Wine manual has been released.

<span class="mw-page-title-main">Main stem</span> Final large channel of a riverine system

In hydrology, a mainstem is "the primary downstream segment of a river, as contrasted to its tributaries". Water enters the mainstem from the river's drainage basin, the land area through which the mainstem and its tributaries flow. A drainage basin may also be referred to as a watershed or catchment.

<span class="mw-page-title-main">Water of Feugh</span> Stream in Aberdeenshire, Scotland

The Water of Feugh (pronounced:few-ikh) is a stream in Aberdeenshire that is the largest tributary to the River Dee. This stream rises in the Grampian Mountains of Scotland, in an area known as the Forest of Birse, and has a particularly scenic aspect in a series of cascades at the Bridge of Feugh slightly above its point of discharge to the Dee.

A hydrological code or hydrologic unit code is a sequence of numbers or letters that identify a hydrological unit or feature, such as a river, river reach, lake, or area like a drainage basin or catchment.

<span class="mw-page-title-main">Drainage system (geomorphology)</span> Patterns formed by streams, rivers, and lakes in a drainage system

In geomorphology, drainage systems, also known as river systems, are the patterns formed by the streams, rivers, and lakes in a particular drainage basin. They are governed by the topography of land, whether a particular region is dominated by hard or soft rocks, and the gradient of the land. Geomorphologists and hydrologists often view streams as part of drainage basins. This is the topographic region from which a stream receives runoff, throughflow, and its saturated equivalent, groundwater flow. The number, size, and shape of the drainage basins varies and the larger and more detailed the topographic map, the more information is available.

<span class="mw-page-title-main">Stream</span> Body of surface water flowing down a channel

A stream is a continuous body of surface water flowing within the bed and banks of a channel. Depending on its location or certain characteristics, a stream may be referred to by a variety of local or regional names. Long, large streams are usually called rivers, while smaller, less voluminous and more intermittent streams are known as streamlets, brooks or creeks.

The Pfafstetter Coding System is a hierarchical method of hydrologically coding river basins. It was developed by the Brazilian engineer Otto Pfafstetter in 1989. It is designed such that topological information is embedded in the code, which makes it easy to determine whether an event in one river basin will affect another by direct examination of their codes.

References

  1. Koschitzki, 2.3, pp. 12ff
  2. Weishar, p. 30.
  3. Weishar, p. 35.
  4. 1 2 Description at svn.osgeo.org, retrieved 16 Apr 2017.
  5. Strahler (1957), 913-920.
  6. Strahler (1964), 4-39, 4-76.
  7. 1 2 Shreve (1966), 17–37.
  8. Horton (1945), 275-370.

Sources