River Response to Baselevel Change: Implications for Sequence Stratigraphy Author(s): S. A. Schumm Reviewed work(s): Source: The Journal of Geology, Vol. 101, No. 2, 100th Anniversary Symposium: Evolution of the Earth's Surface (Mar., 1993), pp. 279-294 Published by: The University of Chicago Press Stable URL: http://www.jstor.org/stable/30081152 . Accessed: 15/01/2013 15:55 Your use of the JSTOR archive indicates your acceptance of the Terms & Conditions of Use, available at . http://www.jstor.org/page/info/about/policies/terms.jsp . JSTOR is a not-for-profit service that helps scholars, researchers, and students discover, use, and build upon a wide range of content in a trusted digital archive. We use information technology and tools to increase productivity and facilitate new forms of scholarship. For more information about JSTOR, please contact support@jstor.org. . The University of Chicago Press is collaborating with JSTOR to digitize, preserve and extend access to The Journal of Geology. http://www.jstor.org This content downloaded on Tue, 15 Jan 2013 15:55:42 PM All use subject to JSTOR Terms and Conditions River Response to Baselevel Change: Implications for Sequence Stratigraphy1 S. A. Schumm Department of Earth Resources, Colorado State University, Fort Collins, Colorado 80523 ABSTRACT Baselevel is the imaginary horizontal level or surface to which sub-aerial erosion proceeds. It is sea level. Controversy surrounds the effect of baselevel change on river behavior, the rejuvenation of landscapes, and the delivery of sediment to the shelf-slope depositional system. The effect of baselevel change depends upon many factors, such as rate of change, amount of change, direction of change, river character, and dynamics and erodibility of the sediment source area. In most cases the effects of baselevel change will be moderate, and they can be accommodated by changes of channel pattern, width, depth, and roughness. Therefore, the delivery of large amounts of sediment to a shoreline or continental shelf probably reflects not only baselevel lowering, but significant uplift of the sediment-source area and perhaps climate change. Introduction In the 19th century, it was believed that the concept of global eustatic changes of baselevel provided a great unifying generalization that permitted worldwide correlation of erosion surfaces (Chorley 1963). Subsequent recognition that continental stability was a prerequisite put an end to these attempts because major transgressions and regressions could be attributed to continental warping (Chorley 1963, p. 959). Recently, geologists have assumed that eustatic baselevel changes can be used as a basis for global correlation of stratigraphic units (Vail et al. 1977; Posamentier et al. 1988), and therefore, baselevel concepts may provide a link between geomorphology, sedimentology, stratigraphy, and economic geology that could be particularly beneficial to all concerned. Nevertheless, serious problems face the sequence stratigrapher, because the depositional record can be greatly complicated or even controlled by climate change and tectonics (Sloss 1991; Miall 1986; Galloway 1989a, 1989b). In addition, much depends upon river response to baselevel change, because the complex fluvial system can respond in varying degrees and by different methods. There are two very different perspectives on the effects of baselevel change. Geomorphologists have concentrated on landform response, whereas stratigraphers have concentrated on the depositional record. In order to obtain a fuller understanding of the complex phenomenon of baselevel change, several aspects of the baselevel problem will be considered in this paper: (1) the definition of baselevel; (2) the effect of baselevel change on rivers; (3) the effect of baselevel change on the continental shelf; and (4) discrimination among the causes of increased sediment delivery to the coast (baselevel change, climate change, tectonics). It is clear that with the available data solutions can only be partially achieved. It is hoped, however, that even speculation concerning these topics may be of value. The Concept of Baselevel Ninety years ago Davis (1902) published an influential paper in The Journal of Geology on baselevel, stream grade, and landscape planation in which he attempted to clarify Powell's rather ambiguous description of baselevel. Although Powell (1875) clearly stated that sea level is the "grand" or general baselevel to which a landscape is lowered, he confused the issue by defining local and temporary baselevels and by describing the base- 1 Manuscript received June 5, 1992; accepted December 1, 1992. [The Journalof Geology, 1993, volume 101, p. 279-294] © 1993 by The University of Chicago. All rights reserved. 0022-1376/93/10102-004$1.00 279 This content downloaded on Tue, 15 Jan 2013 15:55:42 PM All use subject to JSTOR Terms and Conditions 280 S. A. SCHUMM level surface as an inclined plain. The Powell definition of baselevel contained three ideas (Davis 1902): (1) baselevel is the lower limit of subaerial erosion, which is sea level; (2) there are local and temporary baselevels reflecting rock resistance and structure; and (3) there is a baselevel that slopes toward sea level and is determined by the gradient of major streams. Unfortunately Powell confused cause (baselevel) with effect (the baselevel surface), and this has led to misunderstandings of the concept. Davis (1902, see Crickmay 1974, p. 170) illustrated this confusion by showing that baselevel had been defined in the pre-1902 literature as: (1) sealevel at the coast; (2) a level not much above that of the sea; (3) an imaginary surface sloping with mature or old streams; (4) the lowest slope to which rivers can reduce a land surface; (5) a slow reach in a stream; (6) a condition in which rivers cannot corrade or in which they are balanced between erosion and deposition; (7) a certain stage in the history of rivers when vertical cutting ceases and their slope approximates a parabolic curve; (8) a plain of degradation; (9) an ultimate planation; and (10) an imaginary mathematical plane. Following this review Davis (1902; King and Schumm 1980, p. 8) concluded that the concept of baselevel should be limited to the first meaning, "an imaginary level surface," and to define it simply as the level base with respect to which normal sub-aerial erosion proceeds; to employ the term "grade" for the balanced condition of a mature or old river; and to name the geographical surface that is developed near or very near to the close of a cycle, a "peneplain," or "plain of gradation." Davis did not solve the semantic problem (Malott 1928; Johnson 1929; Chorley and Beckinsale 1968; Thornbury 1969) A recent and even more confusing and incorrect usage is illustrated by the following definition: "baselevel, above which a particle cannot come to rest and below which deposition and burial are possible" (Sloss 1962). Sedimentary particles do come to rest, and they are stored above baselevel during the erosional evolution of a landmass. Perhaps Wheeler (1964a, 1964b) has modified the definition to the greatest extent by suggesting that, with constant sea level, baselevel fluctuates by rising and falling above and below the land surface as sediment supply and energy conditions change. "At any given moment the earth's lithic surface is divisible into innumerable areas, each of which is characterized by one or and erosion. other of two processes-deposition The boundary between any two or these areas is at baselevel" (Wheeler 1964a, p. 603). Wheeler is obviously not considering baselevel but rather the fluctuation of stream profiles as a result of climatic and tectonic change. He confuses baselevel with stream profiles, and he states that baselevel controls nothing, although it clearly controls the lower end of the stream profile. The AGI Glossary of Geology (Bates and Jackson 1987) still includes two definitions which confuse cause (baselevel) and effect (erosion surface). A further problem is that, as Thornbury (1969, p. 104) points out, we apparently can't even agree as to its spelling (base level, baselevel, baselevel). I prefer the latter as it eliminates the hyphen when the word is used as an adjective. It is unfortunate that Powell's baselevel concept became so confused, but in order to define baselevel, as it will be used here, one need only turn to the definition of the words base and level. Base is the lowest part, and level is a horizontal line or plane positioned along a horizontal axis. Therefore, in the sense that the term was created, baselevel is effectively sea level, although we know that rivers erode slightly below it. The Effect of Baselevel Change on the Fluvial System It seems very logical that baselevel lowering will rejuvenate a drainage network and deliver large amounts of sediment downstream. Support for these conclusions comes from experimental studies (Holland and Pickup 1976; Schumm et al. 1987) and from observations of the headward incision of arroyos, gullies, and channelized streams (Schumm et al. 1984). Fisk (1944) concluded that Pleistocene sea-leveling lowering caused excavation of alluvium and bedrock incision far up the Mississippi River valley, and on a smaller scale, even a single meander cutoff can cause local steepening and upstream channel degradation (Winkley 1976). E. W. Lane (1955), an eminent river engineer, concluded that, when a river is affected by a baselevel rise or fall or by a horizontal shift of the river mouth (figure 1), the river will degrade or aggrade to restore its equilibrium profile. After all, the channel must continue to carry its load of sediment with a given water discharge and this requires a given gradient that must be restored either by erosion (figure lb) or by deposition (figure la,c). In contrast to Lane, Leopold and Bull (1979) concluded that baselevel changes affect the vertical position of a river only locally and to a minor extent. They argued that not only is stream gradient important, but that channel pattern, roughness, and shape (Rubey 1952) can also adjust, in order to absorb the effect of baselevel change. They based their conclusion partly upon a study of a cutoff in This content downloaded on Tue, 15 Jan 2013 15:55:42 PM All use subject to JSTOR Terms and Conditions Journalof Geology CENTENNIAL SPECIAL ISSUE 281 deposits .. . that the direct influence of the late- a) b) c) Figure 1. When baselevel changes or the position of the mouth of a stream shifts laterally, the stream profile will be established at a higher or lower elevation. (a) baselevel rises from position 1 to 2, (b)baselevel falls from position 1 to 2, (c) the mouth of the stream shifts horizontally from position 1 to 2 (after Lane 1955). the canyon of the San Juan River, where baselevel was lowered about 40 m, but the tiny streams that drain the cutoff are apparently unable to incise into the bedrock wall of the canyon so this may not be a good example. Leopold et al. (1964, p. 260) cite surveys that indicate a reservoir controls deposition in the river for only a short distance upstream where the backwater curve intersects the original streambed profile. The initial surveys showed that the gradient of deposition above dams varied between 30 and 60% of the original slope of the channel, and even after an additional 22 yrs of sediment accumulation, these slopes did not steepen significantly. It may be that the period of record is too short, because, when this type of deposition occurs, the channel is filled first, and then sediment is spread over the entire valley floor. It is not simply a matter of filling the channel, therefore, but also of regrading the valley, which will take considerably more time. In contrast, channel incision occupies only a small part of the valley floor and can occur rapidly. Studies in the Mississippi valley by Durham (1962) and Saucier (1981) contradict Fisk's (1944) conclusions that the river incised into bedrock throughout the lower Mississippi valley during maximum glaciation and minimum sea level, because the valley was never swept clean of sediments. Saucier (1981) concluded from the "extent and shape of the prism of Holocene backswamp Wisconsin sea-level fall extended no farther upvalley than the latitude of Baton Rouge" (Autin et al. 1991, p. 552), 370 river kilometers above Head of Passes. This is only a fraction of the distance to the head of the Mississippi alluvial valley at Cairo, Illinois, 1536 river kilometers upstream from Head of Passes. Nevertheless, an effect extending 370 km upstream is neither local nor minor. Blum's (1992) studies of the Colorado River of Texas lead him to a similar conclusion. Furthermore, Pleistocene sea-level lowering caused only 23 m of incision by the Trinity and Sabine Rivers on the Texas continental shelf (Thomas and Anderson 1989, p. 566). The subsequent sea-level rise caused deposition for a distance of only 150 km upstream (Thomas and Anderson, 1993). Further investigation shows that there was incision to a depth of 40 m (Thomas and Anderson, 1993), but this is far less than the 120 m of sea-level lowering (Fairbanks 1989). The question regarding the impact of baselevel change on the fluvial system does not have a ready answer. If baselevel effect is minimal in some cases but significant in others, then other variables must play an important role. At least 10 variables appear significant, and they can be grouped as follows: (1) baselevel controls, including direction, magnitude, rate, and duration; (2) geologic controls, including lithology, structure, and nature of valley alluvium; (3) geomorphic controls, including inclination of exposed surfaces, valley morphology, and river morphology and adjustability. Baselevel Controls. The direction of baselevel change obviously determines whether a river will aggrade or degrade, but the magnitude of the change appears to be most important. If baselevel lowering is small, a channel can adjust to a change of slope by changing its pattern, by increasing bed roughness, or by changing shape, and in this manner accommodate a baselevel change. If the change is large, river incision is likely, and if it is very large, rejuvenation of the entire drainage network may result. The rate of change is also important, and some experimental work has demonstrated that when the lowering of baselevel is fast, a stream incises vertically with little lateral migration, whereas when the change is slow, considerable lateral migration takes place, permitting the channel to adjust its slope (Yoxall 1969; Wood et al. 1992b). Also, with rapid incision, all discharge events, even the largest flows, will be concentrated in a narrow deep channel. This increases the energy of the flow, and the affect of the baselevel lowering This content downloaded on Tue, 15 Jan 2013 15:55:42 PM All use subject to JSTOR Terms and Conditions 282 S. A. SCHUMM is greatly enhanced. In alluvial valleys in the southeastern United States much of the flow was spread over the valley floor prior to channelization, and this flow was, in effect, non-erosive. Following initial rapid incision, floodwaters were concentrated in the enlarged channel, and incision moved rapidly upstream (Schumm et al. 1984). Therefore, rapid baselevel change appears to have a more significant upstream impact, than does a slow change. Duration of baselevel changes is probably less important than magnitude and rate, although it is intimately related to both. If the duration is long, the rate will be slow, and many adjustments of the fluvial system can occur to negate the effects of the long-term baselevel change. However, if baselevel lowering is large, rapid and short, the impact will be significant, and channel incision can still be occurring upstream, even after baselevel has returned to its original position. Geologic Controls. In many cases, bedrock or structural controls will prevent or delay the effect of a baselevel change from moving upstream. If so, baselevel fluctuations will not affect the fluvial system or be reflected in the stratigraphic record until the local control is removed. If the valley alluvium is cohesive, incision may be propagated rapidly upstream. If there is a resistant layer (root mat, sod, compacted sediment, cohesive silt and clay over sand), a nickpoint can retain its identity and migrate for long distances upstream. If the alluvium is sandy, the effect of the baselevel change can be dissipated in the wide and shallow channel that results when incision into this type of sediment occurs. Geomorphic Controls. The surface exposed by baselevel lowering is very important in determining the impact of the lowering (Miall 1989). If baselevel is lowered abruptly, as along a scarp (figure lb), the results will be very different from the situation when baselevel is lowered gradually, as when a shoreline retreats across a gentle continental slope (figure l c), or one equal to the gradient of the river (Wood et al. 1992a). The morphology of the valley in which the stream flows is important in determining the ability of a river to adjust to baselevel change. If the channel is in a wide valley or flowing across a plain, it has the ability to shift laterally. A channel confined within a narrow valley can only aggrade or degrade. Finally, and most important, is the morphology and the sensitivity or adjustability of an alluvial river. For example, depending upon its morphology, a river may be able to adjust its pattern and shape in order to adjust to a baselevel change. If the river is straight or sinuous and a baselevel fall causes a steepening of the gradient, the river could become more sinuous and adjust to changes of slope without major incision. However, a braided river could only incise. Although all of the 10 controls are important, not all require a detailed discussion. For example, regarding geologic controls, either there are bedrock controls or there are not, and regarding baselevel controls, either baselevel rises or falls. Channel confinement by valley morphology or cohesive alluvium will be discussed first because it has a bearing on other controls. Nature of Alluvium and Channel Confinement The cohesiveness of the sediment forming the bed and banks of a channel seems very important in determining how far upstream the effect of a baselevel lowering can propagate. Experimental studies in low-cohesion sediments have shown that nickpoints will not migrate indefinitely upstream (Brush and Wolman 1960) because: (1) as the nickpoint reach lengthens, its slope is reduced until it is nearly equal to the slope of the stream; the nickpoint cannot be identified when the slope of the nickpoint reach is approximately 20% of the average slope of the river; (2) as slope reduction takes place, stream competence declines to the point that bedload movement ceases; (3) considerable bank erosion takes place in cohesionless sediment so that widening of the channel occurs and stream competence declines. Unlike channels formed in low-cohesion sediment, channels in cohesive sediment incised along the entire length of a flume (Begin et al. 1980, 1981). In Begin's experiments, water that spread widely across the flume became concentrated in the incised channel. This concentrated the energy of the flow in the narrow deep channel, which, in turn, enhanced incision and headward erosion. Begin's results are similar to those that occurred when baselevel was lowered in a 9 by 15 m rainfallerosion facility. Because of the cohesive nature of the sediment and a relatively large lowering of baselevel, incision was propagated through the drainage network to the smallest tributaries. As a result, the drainage pattern was extended, and sediment yields increased significantly (Schumm et al. 1987, p. 34-44). When incision occurs in valleys with fine sediments, water is concentrated in the incised channel, and erosion can extend for very long distances upstream. For example, when baselevel was lowered 3 m by excavation, a headcut formed in the This content downloaded on Tue, 15 Jan 2013 15:55:42 PM All use subject to JSTOR Terms and Conditions CENTENNIAL Journal of Geology 1100 1200 1300 1400 1500 1600 1700 1800 Time (years) Figure 2. Changing length of lower Yellow River between 1200 and 1855 A.D. (from Ren and Xie 1990). channel of the East Prairie River of Alberta, Canada, which flows through clayey and cohesive lacustrine sediments (Parker and Andres 1976). The headcut migrated upstream 2134 m between 1966 and 1968 and an additional 8232 m between 1968 and 1972. The arroyos of the southwestern United States, and channelized streams in the southeastern United States, also provide examples of longdistance channel incision in relatively cohesive valley fills (Schumm et al. 1984). An excellent example of the effect of confining a channel is provided by an extraordinary record of Yellow River deposition (1194-1855 A.D.) downstream of Yuntiguan, which is now 200 km from the sea (Ren and Xie 1990). Before 1600 A.D. seaward extension of the Yellow River delta was very slow, at a rate of about 40 m/yr. Sediment was spread widely across the north China alluvial plain as the river mouth shifted frequently (figure 2). During the latter part of the 16th century, an official of the Ming Dynasty (Pan Jixun) caused the river to be confined by levees. This caused increased sediment delivery to the delta, which grew at a rate of 1400 m/yr. During the 17th century, the levees deteriorated during a period of war, and the river spread its sediments widely across the plain. The result was a reduction of delta growth to about 200 m/yr. Following this period of disruption, an official of the Qing Dynasty (Jin Fu), reconstructed the levee system, and the delta grew at a rate of 1700 m/yr (figure 2). This rate decreased to an average of 600 m/yr until 1855. The maintenance of the river between substantial levees fixed the river position, and as a result its bed aggraded to about 10 m above the level of the North China Plain, as the delta prograded. In 1855, a major flood breached the levee at Tongwaxiang, which caused a 7 to 10 m lowering of water surface elevation. This lowering of local baselevel caused incision in the leveed SPECIAL ISSUE 283 channel, which was estimated to have extended 100 km upstream (Qian 1990). These observations show how different the effects of baselevel change can be upon a confined (leveed) and an unconfined channel. In the first case, vertical adjustment is the only option. In the second case, the river can aggrade or degrade, but lateral shift is the most likely result. When a river is unconfined, it will distribute its sediment load widely over a plain. Avulsion will be frequent, but the upstream effect will be much less than when the channel is confined. River Pattern Adjustment Lane's (1955) argument that a stream will restore its gradient at a higher or lower level following a baselevel change (figure 1) is conceptually correct because if the river is initially at grade, then to move its sediment load and water discharge through the channel, the original gradient of the stream must be re-established. However, sediment loads may be greater after channel incision and less after aggradation. Another fallacy in Lane's argument is the assumption that the maximum downvalley slope, the valley slope, and channel gradient are identical. This is not the case, and the twodimensional perspective provided by figure 1 leads to erroneous conclusions. For example, a sinuous river has a gradient less than that of the valley floor. Sinuosity (P) is the ratio between channel length (Lc) and valley length (Lv), and it is also the ratio between valley slope (Sv) and channel gradient (Sc) as follows: Le Lv Sv Sc (1) Therefore, a straight channel has a sinuosity of 1.0, and the gradient of the channel and the slope of the valley floor are the same. It has been demonstrated that rivers can respond to major changes of water and sediment load primarily by pattern changes (Schumm 1968), and that much of the pattern variability of large alluvial rivers such as the Mississippi, Indus, and Nile reflect the variability of the valley slope. The lower Mississippi River below Cairo, Illinois can be used as an example. When the watersurface elevation, which is a close approximation of bed elevation, is plotted against valley distance a longitudinal profile of the floodplain or valley floor is obtained (figure 3). This profile is irregular, as a result of neotectonics and tributary influences This content downloaded on Tue, 15 Jan 2013 15:55:42 PM All use subject to JSTOR Terms and Conditions 284 S. A. SCHUMM Figure 3. Profile of Mississippi River valley between Cairo, IL and Old River, LA. This is a profile of the floodplain or valley floor. The effect of river sinuosity is removed by plotting water-surface elevation against valley distance. 300 250 200 150 100 50 0 50 100 150 200 250 300 350 400 450 500 VALLEYMILES FROM CAIRO (Schumm 1986). When sinuosity for each of the 24 reaches is obtained from four surveys covering a period of 150 yrs (figure 4), it is apparent that the steeper reaches of the valley profile have the highest sinuosity and are the most subject to variations of sinuosity, as meanders form and cutoff. Figures 3 and 4 indicate that increased valley slope will cause river pattern to change from low to higher sinuosity, which, in turn, aids in the maintenance of channel gradient on a varying valley slope (equation 1). However, if the valley slope change is too great, braiding will result (Schumm et al. 1987, p. 172-173). Figures 5 and 6 attempt to illustrate this concept geometrically. Figure 5 shows the impact of the lowering of baselevel in a valley with a stream of sinuosity (P) of 1.5. The line A-C represents the channel profile and the line A-B represents the profile of the valley floor. Points B and C are at the river mouth, and points F and G are at the same Figure 4. Sinuosity of Mississippi River for each reach of figure 3 for four surveys. location in the valley. The channel distance is onethird longer than the valley distance, and the difference in channel and valley slope reflects the sinuosity of the stream. The length of the channel is 1.5 times the length of the valley and, therefore, the stream gradient is one-third less than the valley slope (equation 1). If in the worst case, a vertical fall of baselevel from B to D and C to E is assumed, channel incision and lateral erosion will steepen the valley floor. If the channel is not confined laterally, it can adjust to the increased valley slope (F-D) by increasing sinuosity to 2.0, and the channel profile is extended to H. In this case, incision ceases at point F in the valley and at point G in the channel because the increase of sinuosity from 1.5 to 2.0 from G to H maintains a constant channel gradient over the reach of increased valley slope (F-D). The one-third increase of channel length (sinuosity) between G and H compensates for a one-third steepening of the valley floor from F to D. According to Lane's assumptions, the effect of this baselevel fall would be propagated upstream to point A, where an amount of erosion equal to B-D would occur. However, because the stream can adjust, the steepening of the valley floor will not result in a change of stream gradient. Rather the channel lengthens, and the effect of baselevel lowering is propagated only a relatively short distance upstream. The distance will undoubtedly depend on local conditions and the original slope of the valley floor, but this exercise supports Saucier's (1991) contention that Pleistocene sea level change in the lower Mississippi valley was effective only as far as Baton Rouge. The probability that a large river can adjust in this fashion is made more likely by the fact that the baselevel changes in nature This content downloaded on Tue, 15 Jan 2013 15:55:42 PM All use subject to JSTOR Terms and Conditions Journal of Geology CENTENNIAL 285 SPECIAL ISSUE Figure 5. Effect of a baselevel fall (B-D) on channel length and pattern. See text for discussion. will take place relatively slowly and not abruptly, unlike during the experimental studies. The river, therefore, has more time to adjust by changing sinuosity. Figure 6 shows an abrupt rise in baselevel from B to D for a valley profile A-B and a channel profile A-C. Under Lane's assumptions, deposition would backfill the valley causing deposition equal to B-D at point A. This situation, identical to deposition behind a dam, will produce deposition, but when the valley aggrades to a slope (G-D) equal to the original channel gradient (A-C), which is necessary to transport water and the sediment load to the new shoreline at point F, deposition should cease. On the reduced valley slope (G-D), sinuosity will decrease from 1.5 (A-H) to 1.0 (H-F). In this way, the gradient of the channel is maintained, and deposition ceases at point G in the valley and point H in the channel. In this case, the effect of an abrupt rise in baselevel was not propagated upstream to point A because the effect was absorbed by an adjustment of channel pattern from H to F. Figures 5 and 6 show only two examples of baselevel change, where the sinuosity of the river before the change was 1.5. However, sinuosity could range from 1.0 to about 2.5. If the sinuosity of the river was 1.2 in figure 5, then the adjusted sinuosity would be about 1.6 instead of 2.0. If the sinuosity of the river was 2.0 instead of 1.5 in figure 6, then the adjusted sinuosity would be about 1.3 and instead of a straight channel, a sinuous channel would cross the shelf. Further evidence for the type of channel response shown in figures 5 and 6 is demonstrated by the experimental studies of Jeff Ware (1992 oral comm.). He lowered baselevel relatively slowly to a maximum of 12 cm in a flume with a total length of 18.4 m. This change would have doubled the channel gradient. However, the effect of the baselevel lowering extended only 4 m upstream, and the change in baselevel, as in figure 5, was accommodated by an increase of sinuosity from 1.2 to 1.5 in the lower 4 m in the flume. It is clear, however, that pattern change did not totally compensate for the change of baselevel. This channel widened and roughness increased, thereby assuming part of the adjustment to the baselevel change. If some of the adjustment is accomplished by a depth decrease (channel widens) and a roughness increase, then some sinuosity would persist even in the example of figure 6. The Manning Equation for velocity of flow (V) reveals that velocity is a function of hydraulic radius or average flow depth (R) gradient (S) and channel roughness (n) as follows: V Figure 6. Effect of baselevel rise (B-D) on channel length and pattern. See text for discussion. 1.49 R2/3 1/2 n (2) Ware's experiments showed that a sinuosity increase, which resulted in a slope decrease, was only part of the adjustment, and both depth (R) and roughness (n) adjusted to decrease velocity and stream power. Therefore, the obvious pattern changes (figures 4, 5, and 6) may only absorb part of a valley slope or baselevel change, as suggested This content downloaded on Tue, 15 Jan 2013 15:55:42 PM All use subject to JSTOR Terms and Conditions 286 S. A. SCHUMM by Leopold and Bull (1979). In addition, upstream incision was producing more sediment, which required a steeper gradient. Figure 7 carries the discussion farther by illustrating a change of baselevel from B to C, across continental shelfs of different gradients (Miall 1989). In examples a and b, the slope of the continental shelf is gentler than that of the stream channel. In example c, it is identical, and in examples d and e, it is steeper. In example a, the decrease in slope is large. The channel cannot adjust to this by a change of pattern or other channel characteristics (equation 2), so aggradation takes place, and a wedge of sediment is deposited. This increases the gradient of the shelf, and it would decrease the gradient of the stream from D to C but a decrease of sinuosity compensates, as in figure 6. The slope of the channel between D and C is the slope required by the stream to transport the sediment load to C as in figure 6. In example b, the reduction of slope at B is not great, and the channel can compensate by straightening and reducing sinuosity without deposition. In example c, the slope of the shelf is identical to the slope of the stream, and therefore the channel can extend itself across the surface without aggradation or degradation. Although as it does so, the new channel will probably form by developing natural levees and scouring slightly into the existing surface. In example d, the slope of the shelf is steeper than that of the stream, but the increase is not large, and the stream can accommodate this by an increase in sinuosity between B and C as in figure 5. However, in example e, the slope of the shelf is much steeper, and the channel cannot adjust only by a pattern change. Incision takes place, and the channel probably widens and braids. This effect of this will be propagated upstream for some distance (C to D) until the channel can accommodate the slope change by a change of pattern as in figure 5 as well as by a change of shape and roughness (equation 2). The discussion so far has been with regard to the response of sinuous streams to an increase or decrease of slope (figures 5, 6, 7). A braided stream, however, may not be able to adjust to a steeper valley slope. Experimental studies of the effect of baselevel change on braided streams by Germanowski (1990, written comm.) show that in these wide channels, formed in low-cohesion sediments, a baselevel lowering causes great channel instability. Nickpoints formed as baselevel was lowered at the end of a flume by removal of 1.9 cm thick boards, but they quickly lost their identity by reclining. The amount of incision decreased progressively upstream until the rejuvenated reach Figure 7. Effect of baselevel change across continental shelves of different inclination. See text for discussion. merged with the unaffected upstream reach (figure 8). After 8.5 hrs, incision had not extended beyond 9 m upstream (Run 3D). With time the channel would have undoubtedly adjusted further, but this experiment best illustrates the declining rate of incision upstream and the declining rate of sediment delivery, as shear stress is progressively distributed over a greater channel length. As discussed earlier, the situation may be very different when a channel is confined and its ability to shift laterally is restricted. It can be concluded that, depending upon the circumstances of baselevel lowering, there can be aggradation, degradation, or little change (Butcher 1989). Nevertheless, this is a very simplistic view of the response of the fluvial system to change. For example, figure 8 shows that, as incision took place in the lower part of the flume, there was aggradation upstream in response to the sediment being fed into the channel. When baselevel was raised in this experiment, deposition eventually extended upstream to the 9 m limit of incision, but degradation was occurring above this point, as a result of the previous baselevel lowering. In fact, in most incised channels, upstream degradation This content downloaded on Tue, 15 Jan 2013 15:55:42 PM All use subject to JSTOR Terms and Conditions CENTENNIAL Journal of Geology 287 SPECIAL ISSUE (a) (b) 3 4 5 6 7 8 9 10 11 12 13 14 1 16 17 18 l19 Distance Down Channel (m) Figure 8. Longitudinal profiles of braided streams formed during baselevel lowering. Profiles indicate three stages of adjustment during experiment 3. Effect of baselevel change ceased at meter 10 (9 m upstream) after 8.5 hrs (from Germanowski 1990 and written commun.). causes downstream aggradation so that the stream reaches are out of phase. Furthermore, studies of incised channels reveal that the increased sediment loads generated by incision will lead to deposition in a channel (figure 9). For example, stream capture rejuvenated a stream in Texas, which led to rejuvenation of tributary streams, larger sediment loads, and downstream deposition (Shepherd 1979; Gardner 1983). This response has also been noted during experimental rejuvenation of drainage networks (Schumm et al. 1987, p. 95). The end result of this complex response of rejuvenated fluvial systems is highly variable sediment delivery to the depositional basin, which is characteristic of fluvial sedimentary deposits (Johnson et al. 1985; Badgley and Tauxe 1990; McRae 1990; Schumm 1981). Effects of Baselevel Change on the Continental Shelf Morphologic changes of the shelf-slope channels are important, but the schematic two-dimensional sketches of figure 7 provide only part of the story. In figure 7a, where significant deposition is required to maintain the gradient of the channel, an alluvial fan or fan-delta will form as the unconfined channel shifts widely across the shelf (Figure 10a). A broad convexity will form in cross section, and the shelf topography will become irregular and assume the morphology of a gently sloping bajada surface that rises toward the major channels that cross the shelf. In figure 7b,c, and d, the channel has adjusted its pattern to accommodate the shelf (e) Figure 9. Evolution of an incising channel from initial incision (a, b), and widening (a, b, c, d) to deposition (c, d), and eventual stability (e). This evolution occurs at one cross section through time, but it can be observed along the channel from upstream (a) to downstream (e) (after Schumm et al. 1984). slope, and deposition will be minor. Nevertheless, natural levees will form and channel avulsion will be common as channels become inefficient and are abandoned (figure 10b). The shelf will be a dynamic surface modified by frequent avulsions. In figure 7e, the shelf is incised, and sediment will be delivered to the shelf edge through the incised channel (figure 10c). Unlike examples a and b of figure 10, the incised channel should remain fixed in one position until it is filled by deposition. Small channels will also develop on the shelf, as runoff from the sloping surface is concentrated and dendritic drainage networks form (figure 10). These channels will incise less than the main channel, but because they are at a lower elevation than the This content downloaded on Tue, 15 Jan 2013 15:55:42 PM All use subject to JSTOR Terms and Conditions 288 S. A. SCHUMM Figure 10. Plan views and cross sections of three different shelf situations: (a) slope of shelf is gentle (figure 7a) and deposition produces a fan delta, which in the cross section rises above the shelf surface and sets the stage for incision or avulsion, (b) slope of shelf is similar to valley slope (figure 7c) and the channel extends across the slope building natural levees and being subject to avulsion, (c) slope of shelf is steep (figure 7e) and incision occurs leaving smaller shelf channels perched above the incision. main channel (figure 10a,b) they can readily capture it and shift its mouth laterally. This type of channel behavior has been well documented for a different environment at the foot of the Book Cliffs (Rich 1935), the Henry Mountains in Utah (Hunt et al. 1953), and the Beartooth Mountains of Montana (Ritter 1972), but the general morphologic situation is similar. Much of the preceding discussion relates to sealevel change over sloping surfaces of different inclinations (figures 7, 10). However, when sealevel lowering brings baselevel to the edge of the continental shelf and down the continental slope, channels will incise and valleys will form. In fact, there should be small, medium, and large valleys on the shelf as follows: (1) large deeply incised valleys (figure 10c) are the extension of major rivers draining large areas of the continent, (2) medium-sized valleys are the extension of small rivers that drain from smaller drainage basins, and (3) small valleys that formed on the shelf by runoff draining from only the shelf to form dendritic drainage patterns (figure 10). For example, channels and valleys of different dimensions have been described by VanWagoner et al. (1990) on the Gulf Coast. A series of experimental studies concerning the effect of shelf inclination, rate of baselevel change, and steepness of the sediment source area (sediment-yield rates) on the response to baselevel change were performed at Colorado state University (Koss 1992; Wood et al. 1992a, 1992b). Koss used the 9.2 by 15.5 m rainfall-erosion facility (figure 11) to determine how a lowering of baselevel across a shelf sloping at 1% and down a 22% slope affected the stream system and the shelf and slope morphology. His experimental design resembled figure 7b with a shelf inclination less than the slope of the stream draining to the slope. During 12 hrs, Koss lowered the water level 7.2 cm, which brought the shoreline across the shelf and 3.2 cm below the shelf break (figure 11). This water level was held constant for 4 hrs, and then the water level was raised to its original position on the shelf. Under these conditions, a fan delta developed at the mouth of the stream that drained the sediment source area (figure 11). During the first 3 cm of baselevel fall, the shoreline remained on the shelf, the delta prograded rapidly, and water from the stream spread over the delta and shelf surface. Once the shoreline crossed the edge of the shelf and dropped below it, many small valleys formed, and they extended upslope toward the available water. The channel or valley that captured the most water grew fastest, and as a result it captured more of the water supply and eventually joined the main channel at the delta head. When this occurred, fluvial sediments from the source area were moved to the shelf edge and down the slope to form a shelf-edge delta (figure 11). As this channel now conveyed all of the runoff from the source area, the other defeated channels ceased headward growth. The major cross-shelf channel did not always form at the center line of the delta; rather it followed the track of the maximum water flow. In one experiment it bisected the delta (A), and in the other it followed the margin of the delta (B). As the water level rose, the small shelf valleys were filled with reworked shelf sediments, whereas the crossshelf valleys were filled with sandy source-area sediment. These experiments suggest that coarse sediments will be found in the cross-shelf valley and finer reworked shelf sediments will fill the small shelf-edge valleys. Therefore, the experiments help This content downloaded on Tue, 15 Jan 2013 15:55:42 PM All use subject to JSTOR Terms and Conditions Journalof Geology CENTENNIAL 289 SPECIAL ISSUE ently had little or no influence on source-area stream behavior. As the delta formed there was deposition in the lower valley above the delta, but the effect was felt only in the lower part of the drainage system. This experiment further supports the conclusion that a baselevel change alone may not greatly influence the upstream fluvial system. Implications Figure 11. Map showing results of baselevel lowering experiments. When water level was lowered slowly across the shelf from position 1 to position 2, a shelf delta (A) formed. When the water level fell below the shelf edge, numerous channels incised into the shelf to form small valleys (v). When one channel captured the flow, a cross-shelf valley formed that, during one experiment, bisected the shelf delta (A). However, during another experiment, the cross-shelf valley formed on the margin of the delta (B). Both valleys delivered sediment from the source area and incised into the delta and shelf, and slope deltas, (A', B1) formed. Slope of the drainage basin was 5%, of the shelf 1%, and of the slope 22% (from Koss 1992). to explain the three different types of channels or valleys identified on the shelf in the rock record (VanWagoner et al. 1990, figure 26). The master stream forms a large incised valley filled primarily with fluvial sediment. Smaller valleys that are incised to shallower depths may reflect distributaries or smaller streams crossing the shelf. Finally the smallest valleys, that formed wholly on the shelf and were never able to tap a supply of mainland sediment, are filled with silts and clays. In addition, the seaward extension of a valley may not follow the shortest route across the shelf. Koss also determined that, although the fluctuating water level should have produced significant changes in the channels of the source area, it appar- for Sequence Stratigraphy The sequence stratigraphic models proposed by Vail and his colleagues (Vail et al. 1977; Posamentier et al. 1988) and their significance for hydrocarbon exploration appears to depend upon a global mechanism, and they have chosen eustatic sealevel change. However, a controversy has developed concerning this assumption, and Miall (1991) and Galloway (1989a, 1989b) believe that tectonism and changes of sediment delivery rates also control the character of the shelf-slope deposits. Sloss (1988, 1991) also argues for the significance of tectonics and concludes that the eustatic explanation is too simple. Galloway (1991a) states that sediment delivery, subsidence rate, and eustatic sealevel change can be of varying significance in sequence stratigraphy. Sediment delivery can be affected by tectonics, isostatic adjustment, climate, and of course sea-level change. The controversy concerning the effect of a baselevel change on river response is not surprising, considering the complexity of the fluvial and shelfslope systems. A large number of variables influence the impact of baselevel change. As demonstrated above, baselevel changes can have major, intermediate, or minimal effects depending on bedrock and structural controls, the nature of the affected river, the amount and rate of baselevel change, the inclination of the newly exposed shelf surface, and perhaps the hydrologic character of the river. The impact on the shelf and slope will depend on their gradient and on the type and quantity of sediment delivered from the sediment source area, which depends upon erodibility of the available materials, climate and relief. Therefore, on a global basis, the effect of a sea-level change will be highly variable. Although a variety of effects are possible, the propagation of the effects of baselevel change along a large alluvial river probably will be moderate, moving upstream, but not for long distances. Total rejuvenation of the drainage system is not expected, although the effect will be greatest where baselevel change is great, incision is rapid, and the rivers are confined (figure 2). All of the above casts doubt upon the conclusion This content downloaded on Tue, 15 Jan 2013 15:55:42 PM All use subject to JSTOR Terms and Conditions 290 S. A. SCHUMM of Aubrey (1989) that incision progressed inland 320 km from an early Cretaceous shoreline. Sealevel fall was about 50 m, which is consistent with 45 m of incision near the coast, but incision was 30 m about 320 km inland. This baselevel decline would have increased channel gradients over this distance by only 0.00016, which could be accommodated readily by channel adjustment (figures 5, 6, and 7). A much greater baselevel change would be required to cause 30 m of incision so far from the coast. Because subsidence is cited as the explanation for the subsequent filling of these incised valleys, Weimer's (1983) conclusion that uplift of much of the region was the cause of the inland valley incision seems more reasonable. As long-term accelerated sediment delivery to the shelf-slope would be unlikely with a simple baselevel lowering, it is probable that large accumulations of sediment reflect not only baselevel change, but perhaps uplift of the sediment source area, which, in turn, could lead to orographic climate change. Perhaps Sloss (1991) was correct in suggesting that a pulse or expansion of the earth causes the sequence-stratigraphic relationships by changing both baselevel and relief of the sedimentsource area. It is likely that orogeny, epeirogeny, and eustasy act together (Johnson 1971), perhaps in response to changing rates of subduction (Gurnis 1992), interplate stress (Cloetingh 1986), or changes of heat loss or flow (Worsley et al. 1984). A major problem when dealing with complex systems is convergence, which occurs when different processes or causes produce similar results (Schumm 1991, p. 58-61). For example, increased sediment deposition on the shelf and slope could be caused by baselevel change, climate change, or tectonics. In fact, the explanation could be multiple with all three factors interacting to produce the stratigraphic results. Nevertheless, it may be possible to discriminate among the effects of baselevel, climate change, and tectonic influences. For example, a climate change or uplift that produced a higher sediment load relative to discharge would lead to downfilling of a valley. The increased sediment load would lead to deposition where the valley profile lessened, and the valley would fill progressively in a downstream direction (figure 12a). In contrast, valley filling as a result of sea-level rise would cause backfilling (figure 12b). The deposits should differ in several ways, although it may not be possible to detect in outcrop. The downfilling deposit should wedge out both up and downstream, whereas the backfilling deposit should thicken downstream. The downfilling deposit should fine downstream, as the coarsest sediments a b Figure 12. Comparison of (a) downfilling and (b) backfilling in a valley. would be deposited upstream, and it should coarsen upward, as the coarser sediment eventually moves downstream on a steeper valley slope (figure 12a). This type of valley-fill deposit should be similar to a thin deltaic deposit. There should also be a marked change in the character (mineralogy, grain size) and volume of the sediment delivered, as erosion progresses in the upper part of the drainage basin. In contrast, the backfilling deposit would fine upward as the coarser sediments are progressively deposited farther upstream. Also, the character and quantity of sediment should not change because most of the sediment source area would not be affected by a rise of baselevel. It might also be possible to distinguish among baselevel, climate, and tectonic influences by the change of sediment delivery with time (figure 13). Based upon experimental studies (Schumm et al. 1987) and field observations (Gellis et al. 1991), rapid baselevel lowering produces a major shortterm pulse of sediment (figure 13a). As incision progresses through the drainage network, less sediment is produced and much of it is stored in the newly developed incised channel (figure 9). Germanowski's (1990) and Gardner's (1983) experiments, which showed that the rate of erosion following baselevel lowering declined exponentially as the initial nickpoint lengthened (figure 8), support this conclusion. A similar result could be anticipated from Ware's experiment when baselevel lowering was compensated by an increase of sinuosity, a decrease of depth, and increased roughness. When the baselevel change is slow, the impact will be less and it will be delayed (figure 13a). The effect of uplift in the sediment source area should be pronounced and longer-lasting than the effects of a baselevel change, and there will be an exponential increase of sediment production as relief increases (Schumm 1963). There will be a lag This content downloaded on Tue, 15 Jan 2013 15:55:42 PM All use subject to JSTOR Terms and Conditions CENTENNIAL Journal of Geology SPECIAL ISSUE 291 span involved in the sketches of figure 13. The rising limb of each curve will depend upon the rates of baselevel, tectonic, and climate change. Abrupt changes of baselevel in channelized streams of Mississippi set in motion a series of channel adjustments that were essentially completed in about 50 yrs (Schumm et al. 1984), whereas some of the large arroyos in the southwestern United States require at least 100 plus yrs to produce a curve similar to figure 13a (Gellis et al. 1990; Schumm 1991). a) BASELEVEL b) TECTONICS Conclusions TIME Figure 13. Effects of (a) baselevel, (b) tectonic, and (c) climate change on sediment delivery to the coast. See text for discussion. before the effect reaches the coast, but with time, the decline of sediment delivery will be less than for the baselevel change, and the higher rate of sediment delivery would persist for a long time (figure 13b). The magnitude of the response would, of course, depend upon the quantity of sediment stored in the uplifted landscape and the resistance of the rocks affected. Weak rocks will continue to produce large amounts of sediment, whereas resistant rocks will produce less after the weathered mantle is removed (figure 13b). A climate change (figure 13c) will have divergent effects (Langbein and Schumm 1958). A change from a humid to semiarid or to a markedly seasonal climate would produce the greatest increase of sediment, whereas a change from humid to subhumid or to superhumid might have little effect (Langbein and Schumm 1958). A change from humid to arid would greatly decrease sediment delivery. Climate changes will be rapid in comparison to most baselevel and tectonic changes, and therefore, the response will be rapid (figure 13c). Unfortunately, little can be said about the time It appears that for long sustained sediment delivery to the coast, uplift is the most likely explanation, because the upstream effect of baselevel change will be moderate. This conclusion is supported by the fact that the large rivers with large sediment loads usually originate in orogenic belts (Dickinson 1988; Audley-Charles and Curray 1977). It is further supported by Galloway's (1989a) conclusion that "Volumes of sediment excavated by valley incision of coastal plains exposed at relative low stands are inconsequential in the context of sequence stratigraphy volumes. Basins cannot be filled by self-cannibalization." An important point is that incised valleys on the continental shelf range in width from "less than several miles to many tens of miles" (VanWagoner et al. 1990). This means that lateral erosion has widened the valleys and the channels are not confined. The Yellow River example (figure 2) confirms that when channels are not confined, the impact of baselevel change will be limited in an upstream direction. It is unfortunate that so many factors influence the effect of baselevel change on the fluvial and shelf-slope systems. Under certain circumstances, the effect of baselevel change will be local and minor; under other conditions, it will be significant. In most cases, however, large alluvial rivers will be able to adjust to altered slopes by adjustments of sinuosity, channel dimensions, and roughness (equations 1 and 2). Therefore, except under extreme conditions, changes of baselevel will not rejuvenate the entire drainage network. A combination of baselevel lowering, which would rejuvenate the lower part of the fluvial system, and uplift, which would rejuvenate the upper part, would deliver large quantities of sediment to the coast and produce the depositional sequences of great interest. Figure 14 is an attempt to summarize these conclusions visually. For most alluvial rivers, the effect of a baselevel change can be very significant at the coast (km 0), whereas the effect of increased This content downloaded on Tue, 15 Jan 2013 15:55:42 PM All use subject to JSTOR Terms and Conditions 292 S. A. SCHUMM relief depends upon its location. If near the coast it will be dominant, but even at a great distance (1000 km) it will have an impact at the coast, the magnitude of which depends upon the quantity of sediment delivered. In short, baselevel changes could affect a valley for perhaps 300 km, as in the Mississippi valley, whereas increased relief and, of course, a climate change can affect the entire fluvial system. ACKNOWLEDGMENTS Distance (Km) Figure 14. Relative effect of changes of relief and baselevel (based upon an idea of Henry Posamentier). Distance is upstream from baselevel at 0 km. See text for discussion. REFERENCES Autin, W. J.; Burns, S. F.; Miller, R. 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