Geomorphology 120 (2010) 77–90 Contents lists available at ScienceDirect Geomorphology j o u r n a l h o m e p a g e : w w w. e l s ev i e r. c o m / l o c a t e / g e o m o r p h The role of landslides in mountain range evolution Oliver Korup a,⁎, Alexander L. Densmore b, Fritz Schlunegger c a b c Swiss Federal Research Institutes WSL/SLF, CH-7260 Davos, Switzerland Department of Geography, University of Durham, UK Institute of Geological Sciences, University of Berne, Switzerland a r t i c l e i n f o Available online 22 September 2009 Keywords: Landslide Geomorphic hillslope–channel coupling Threshold hillslope Tectonic geomorphology Stream power Bedrock river a b s t r a c t We review the role of landslides in current concepts of the topographic development of mountain ranges. We find that many studies in this field address basin- or orogen-scale competition between rock uplift and fluvial bedrock erosion. Hillslopes in general, and bedrock landslides in particular, are often assumed to respond rapidly to incision and development of the fluvial drainage network. This leads to a one-sided view of the geomorphic coupling between hillslopes and rivers that emphasizes the fluvial control of hillslopes, but ignores the alternative view that landslides can affect the fluvial network. There is growing evidence that landslides are a dominant source of sediment in mountain belts and that they exert a direct geomorphic control on fluvial processes. Landslides can influence the river network in a variety of ways, from determining basin area and drainage divide positions, to setting streamwise variations in sediment load and calibre. The geomorphic legacy of large landslides on hillslope and channel morphologies may persist for up to 104 yr, adding considerable variability to fluvial erosion and sedimentation patterns over these timescales. We identify a number of questions for future research and conclude that a better understanding and quantification of the geomorphic feedbacks between landslides and river channels builds an important link between short-term (< 101 yr) process studies and long-term (> 105 yr) landscape evolution models. © 2009 Elsevier B.V. All rights reserved. 1. Introduction The topographic development of mountain belts is commonly portrayed as a competition between tectonic fluxes of material into the orogen, modulated by geodynamic processes such as crustal faulting or lithospheric deformation, and erosional fluxes of material out of the orogen, modulated by Earth surface processes (Koons, 1989; Montgomery et al., 2001; Willett and Brandon, 2002; Bishop et al., 2003). Perhaps foremost among these surface processes is the incision of a network of bedrock rivers into the growing range and fluvial transport of erodible sediment by the river network. Sediment is supplied to the river network by a range of hillslope processes, of which landsliding is likely the most dominant in many humid mountain belts (e.g. Hovius et al., 1997; Shroder and Bishop, 1998; Oguchi et al., 2001). While landslides are recognised as being important agents of mass wasting and hillslope evolution on local scales, their overall role in the growth of mountainous topography is not well understood. Here we review the role of landslides in the evolution of mountain ranges, drawing on key concepts that have arisen from studies in tectonic geomorphology. Our motivation for this is spurred by the growing recognition that landsliding exerts a primary control on the ⁎ Corresponding author. E-mail address: [email protected] (O. Korup). 0169-555X/$ – see front matter © 2009 Elsevier B.V. All rights reserved. doi:10.1016/j.geomorph.2009.09.017 planform development, incision history, and sediment discharge of watersheds (Hovius et al., 1997, 1998; Hewitt, 1998; Strasser and Schlunegger, 2005; Korup et al., 2006). This observation is not accounted for by recent conceptual models of bedrock fluvial incision in response to tectonic uplift, in which hillslopes achieve threshold gradients and respond rapidly to fluvial network incision. We conclude by presenting several research questions and highlighting future research potential to further integrate processes of landsliding into current concepts of feedback mechanisms between uplift and erosion in tectonically active mountain belts. 2. Current concepts of fluvial driven mountain range evolution 2.1. Fluvial bedrock incision There is a growing notion that fluvial incision into bedrock both establishes the relief structure of a mountain belt, and sets the lower boundary condition for hillslope processes (e.g. Whipple and Tucker, 1999; Burbank, 2002; Whipple, 2004). Topographic relief in mountain ranges can be conceptually divided into two components: relief on unchanneled or colluvial hillslopes, and relief on the fluvial river network. Observations from some tectonically active mountain ranges suggest that the fluvial network spans 80% or more of the total relief (Whipple and Tucker, 1999; Whipple, 2004). Thus, the fluvial network can be thought of as the ‘skeleton’ of a mountain belt, with 78 O. Korup et al. / Geomorphology 120 (2010) 77–90 the hillslopes extending above the tips of the drainage network. Because of this, the longitudinal profiles of rivers in mountainous environments effectively dictate the magnitude and spatial distribution of relief over geological timescales, and a large body of research over the last decade has focused on understanding the controls on the form and development of these longitudinal profiles (e.g. Tarboton et al., 1992; Montgomery and Foufoula-Georgiou, 1993; Whipple and Tucker, 1999; Tucker and Whipple, 2002; Stock and Dietrich, 2003; Whipple, 2004; Schlunegger et al., 2006). The rate of river incision into bedrock is commonly assumed to be a power-law function of mean bed shear stress, leading to the socalled ‘stream power’ family of incision models (for thorough reviews, see Whipple and Tucker, 1999; Whipple, 2004). An attractive feature of these models is that they can be rewritten to provide a physical explanation for the commonly observed power-law relationship between river bed slope S and contributing drainage area A, usually expressed as S = ks A –θ ð1Þ where θ is the concavity index, and ks is a coefficient generally known as the steepness index. Eq. (1) is typically applicable to a longitudinal profile only beyond some threshold drainage area, which is often observed to be of the order of 105 m2 in tectonically active mountain ranges (e.g. Whipple, 2004). For our purposes, the important features of the stream power family of models are that they assume that (1) channel slope is set only by fluvial processes; (2) adjustments in channel slope are the only means for a river to respond to tectonic or climatic influences; and (3) river incision into bedrock is the ratelimiting process for topographic change or relief production in a mountain belt. Despite these limiting assumptions, the stream power models provide a convenient and attractive tool for inferring regional patterns of fluvial incision at the mountain-belt scale (Finlayson et al., 2002; Sobel et al., 2003). They also have been widely used to quantify streamwise variations in differential rock uplift, erodibility, and the influence of climate (e.g. Roe et al., 2003; Kirby et al., 2003; Kobor and Roering, 2004). 2.2. Threshold hillslopes and limits to relief If fluvial bedrock incision both sets the relief structure of the landscape and acts as the rate-limiting process in dictating erosion rates (Whipple and Tucker, 1999; Godard et al., 2004; Safran et al., 2005), it follows that hillslopes must rapidly and passively adjust to variations in fluvial incision rates (Fig. 1). According to this concept, an increase in fluvial incision rates will steepen the adjacent hillslopes, which will respond by rapid landsliding (Fig. 1A, B). Alternatively, a decrease in fluvial erosion rates, or accumulation of sediment in channels, will reduce local relief, which, in turn, then tends to reduce rates of landsliding on the adjacent hillslopes (Fig. 1C). Burbank et al. (1996) suggested that spatially uniform hillslope angles in the northwestern Himalayas resulted from close geomorphic hillslope–channel coupling (Harvey, 2002), and proposed that the hillslopes were at a limiting or threshold slope angle for failure. Slopeangle distributions across other tectonically active mountain belts, such as the Southern Alps of New Zealand, are also strikingly uniform despite strong gradients in rates of uplift, precipitation, and erosion, as well as varying rock types (Fig. 2). The occurrence of such threshold hillslopes implies that local relief is a function of drainage density, but independent of rates of fluvial incision and rock uplift (Burbank, 2002; Fig. 1A). Hence, fluvial incision as the rate-limiting process would, at least in non-glaciated mountain belts, control hillslope sediment flux, assuming full geomorphic coupling between channels and hillslopes (Whipple and Tucker, 1999). Fig. 1. The concept of threshold hillslopes as a form of dynamic adjustment to fluvial bedrock incision (Burbank, 2002). A. Local relief is independent of fluvial incision rate Ec, as hillslopes are at a critical slope φc, where shear stress equals hillslope strength, and where rate of divide lowering Ed = Ec. Hillslope sediment flux qs is controlled by Ec only. B. Increase in Ec steepens slope angle φ2 > φc, leading to rapid response by landsliding to maintain φc. C. Landscapes with hillslope angles <φc may result from Ed > Ec, with qs controlled by some (non-linear) function of slope φ. Stages B and C have also been interpreted as the result of drier and wetter climate, respectively (Gabet et al., 2004). The concept of threshold hillslopes has since been developed into a predictive tool, with slope-angle distributions being compared to precipitation patterns in order to detect possible climatic or process controls on threshold slope angle (Brozovic et al., 1997; Burbank et al., 2003; Gabet et al., 2004; Fig. 1C). Orographic effects on precipitation patterns, however, make it difficult to interpret these relationships, especially if limited historic climate data are used exclusively, and without addressing longer-term climatic variability. Montgomery (2001) found that a normal distribution of hillslope angles in a landscape did not necessarily support the interpretation of the presence of threshold hillslopes. Schmidt and Montgomery (1995) proposed an alternative to this model, and suggested that dip-angle hillslopes prone to frequent bedrock landsliding were essentially limited by their large-scale strength properties. Although the modified Cullman method they used may not fully be applicable to most mountain hillslopes, it considers rock-slope stability in a geotechnical sense, explicitly addressing properties of rock-mass strength. Also, this limit-equilibrium approach implies by definition that landsliding solely occurs as a function of critical hillslope height, while not accounting for landsliding on sub-critical hillslope portions. 3. Current concepts of landslides and their role in mountain range evolution 3.1. Landslide-dominated mountain belts Most studies of mountain range evolution have concentrated on basin- to orogen-scale competition of rock uplift and fluvial incision into bedrock (Pavlis et al., 1997; Lavé and Avouac, 2001; Snyder et al., 2003; Kirby et al., 2003; Clark et al., 2004), to which hillslopes passively adjust. Hillslope processes in general, and landslides in particular, have so far been rarely quantified or modelled in a physically-based manner over such large spatial and temporal scales (see 3.5). Little is known about what role landslides play in the O. Korup et al. / Geomorphology 120 (2010) 77–90 79 Fig. 2. Slope-angle distributions (sampled from a 25-m digital elevation model within circles of 10-km radius, and normalised by area) across the Southern Alps of New Zealand show remarkable similarity despite order-of-magnitude changes in uplift rate U, precipitation rate P, denudation rate D, as well as varying rock types (schistose greywacke in the northwest to unaltered greywacke in the southeast). Note how the shape of the histograms appears to change slightly along the strike of the orogen. shaping of mountainous topography, and how they influence spatial and temporal scales of mountain belts, and to what extent they contribute to the overall sediment budgets of mountainous catchments, despite the growing notion of landslide-dominated mountain belts (Hovius et al., 1997; Shroder and Bishop, 1998; Hovius et al., 2000; Oguchi et al., 2001). 3.2. Changes to catchment morphology Large landslides may exert first-order controls on catchment morphology such as catastrophic divide shifting and sculpting (Ellis et al., 1999; Hasbargen and Paola, 2000; Cruden, 2000); headwater stream truncation and piracy; escarpment retreat (de Berc et al., 2005); or drainage reversal, while small catchments may form in detachment areas of deep-seated bedrock landslides (Hovius et al., 1998; Schramm et al., 1998; Blair, 1999; Fig. 3). Large landslides modify hillslope gradient and slope curvature (Roering et al., 2005; Korup, 2006b), and thus also influence slope– area relationships. Especially where they have deposited extensive hummocky debris sheets, they considerably reduce hillslope gradients along the slope profile, thus lowering hillslope steepness, while retaining most of the hillslope's concavity (Fig. 4). This may in turn influence colluvial erosion laws proposed on the basis of slope–area data (Lague and Davy, 2003). Interestingly, the morphologic expression of tectonics on the scale of individual slopes seems to have been largely neglected in tectonic geomorphology and models of mountain belt evolution. Zaruba and Mencl (1969) illustrated the development of large gravitational landslides caused by increases in folding and uplift rates. Such deepseated slope deformation (sackung) often involves several tens of km2, and controls local relief and modulates low-order drainage by interfluve migration and stream piracy (Persaud and Pfiffner, 2004; Korup, 2006b; Fig. 5A). Large-scale thrusting at mountain-range fronts may also be a preparatory cause for giant slope failures along low-angle basal shear planes, as for example along the Gurvan Bogd fault zone, Mongolia (Bayasgalan et al., 1999). Another impressive 80 O. Korup et al. / Geomorphology 120 (2010) 77–90 Fig. 3. Giant landslides and their effects on catchment morphology. A. Panoramic view of Tsergo Ri rockslide (V ~ 1010 m3), Langtang Himalaya, Nepal, from Naya Kanga (5849 masl); -.-.- = headscarp, - - - - = deposit, ⇐ = direction of movement, ll = Langtang Lirung (7234 masl), d = Dragpoche (6562 masl), pr = Phrul Rangtshan Ri (6960 masl); s = Shisha Pangma (8027 masl), p = Pangshungtramo (5321 masl); t = Tsergo Ri (4984 masl), dt = Dranglung fault; I = Ledrub–Lirung glacier, k = Kyimoshung glacier, y = Yala glacier, ka = Kyangjin Kharka (photo courtesy of J.T. Weidinger). B. Bedrock gully development in detachment area (da) of postglacial Tamins rockslide (V ~ 109 m3), Swiss Alps. Note dip-slopes (→) in limestone bedrock. C. Green Lake rockslide (V ~ 2.7 × 1010 m3), Fiordland, New Zealand, shows headwater drainage developed upstream of displaced rock blocks (rb); → = movement direction of slope failure. example of deep-seated slope deformation and gravitational faulting that affects low-order drainage is the Lluta Collapse, Chile, which is one of the largest (V ~ 2.6 × 1010 m3) and oldest giant landslides in a terrestrial environment (Strasser and Schlunegger, 2005; Zeilinger et al., 2005; Fig. 5B). Although it may be argued that such slow and gradual slope deformation may be subsumed in terms of hillslope diffusivity, the resulting landforms such as bowl-shaped basins, counterscarps or double-sided ridge lines, or bulging toe slopes, are difficult to reproduce from regional-scale diffusivity modelling. The geomorphic feedback between such “chronic” sackung-type movement and fluvial incision or undercutting will be an important point to quantify and model in future research. Smaller, but more frequent, landslides may alter drainage density (Oguchi, 1997). Similar influences of landslides on the length scales of mountain belts were studied in the Swiss Alps, where valley morphologies reveal a distinct pattern in relation to landsliding, or the Peruvian Andes, where landsliding is considered to control the spacing of channels (Schlunegger et al., 2006). Densmore and Hovius (2000) presented a conceptual means of differentiating between landslide trigger mechanisms from the resulting valley morphology. They argued that earthquake-triggered Fig. 4. A. Slope–area plot of the area affected by the giant Dead Lakes rock avalanche (V ~ 2.5 × 109 m3), western Tien Shan (black), and an arbitrarily placed sample area of 400 km2 of surrounding mountainous terrain (grey). B. Slope gradient versus relative slope position (0 = thalweg, 1 = divide) with respect to channel network with 1 km2 minimum contributing catchment area. Data were derived from a smoothed 3″ SRTM digital elevation model at ~ 81-m cell-size resolution using an Albers Equal Area projection. O. Korup et al. / Geomorphology 120 (2010) 77–90 Fig. 5. A. Large rockslide-sackung (V ~ 109 m3) at Gotschna, Prättigau, Swiss Alps; hs = bowl-shaped headscarp; rd = rockslide debris. B. Enhanced satellite image of the giant Lluta Collapse (lc), Chile, which evolved as a response to initial landsliding at >2.5 Ma that mobilised ~ 2.6 × 1010 m3. Subsequent fluvial incision into the landslide scar occurred by headward erosion (hs) along a dendritic drainage network and removed a further ~ 2.4 × 1010 m3 of material. landslides would preferentially nucleate near ridge crests, as opposed to pore-water and rainfall-triggered failures that clustered on toe slopes, forming “inner gorges”. They hypothesised that the presence of inner gorges in a landscape should reflect the dominance of climatic, rather than tectonic, landslide triggers. While inner gorges do seem to occur in areas that are historically dominated by climatically-triggered landslides, this hypothesis awaits further testing. 3.3. Changes to valley-floor morphology and river long profiles An important aspect of large landslides is their effect on valley floors, and hence, river long profiles (Korup, 2006a). Together with structural and glacial pre-design, and transient variations in local sediment supply, e.g. by debris flows (Benda et al., 2003), landslides add noise to ideally concave river longitudinal profiles (Eq. (1)), thus affecting their use for isolating specific external forcing on profile development (Sklar and Dietrich, 1998; Schlunegger, 2002; Cui et al., 2003; Korup et al., 2004). Catastrophic long-runout rock or debris avalanches may completely obliterate valley floors by scouring and subsequently covering them with tens of metres of debris for lengths >10 km, thus interrupting and slowing down fluvial bedrock incision (e.g. Shang et al., 2003; Fig. 6A, B). Knickpoint formation associated with large landslides is a wellknown, though rarely quantified, phenomenon (Fig. 6C). Using Eq. (1) with an arbitrarily fixed concavity index θ = 0.45, a value common to many rivers in active mountain belts (Whipple, 2004), is a way to 81 highlight significant changes in the steepness index ks (Hodges et al., 2004). Korup et al. (2006) found that, regardless of local geological, climatic, and tectonic conditions, the highest values of ks and inferred specific stream power Ω in mountain rivers spatially very often coincided with the occurrence of large rock-slope failures. Although in some cases this could be interpreted as rapid hillslope response to locally higher rates of fluvial incision (Fig. 1A), most of the reaches in question are breach channels cut through large rockslide and rockavalanche debris of 102–104 yr in age, and hence post-date landslide occurrence (Fig. 7). Large landslide dams add scatter to slope–area relationships, which in some cases leads to significant changes to ks, whereas θ appears to be less sensitive (Fig. 8). Since these variables are often used to quantify rates of climatic and tectonic forcing (Lague et al., 2003; Kirby et al., 2003) or to explain variations in erosion rates (Safran et al., 2005), the use of data points affected by landslides in slope–area plots may bias such estimates. Naturally, there are many other possibilities of knickpoint formation, e.g. base-level changes, contrasts in lithology, differential uplift, or variations in sediment supply. The presence of one or several landslide dams for 102 to 104 yr also significantly increases the response time of a basin to external perturbations. There are numerous examples of Late Pleistocene and Holocene rockslide dams in the Himalayas, the Tien Shan, and the Southern Alps of New Zealand, which formed persistent (≤104 yr) knickpoints and sediment reservoirs in the river long profile (Korup, 2006a; Korup et al., 2006; Fig. 7). Fluvial transport limitation and massive aggradation upstream of these landslide dams have effectively inhibited fluvial incision into bedrock and reduced local relief on these timescales (Figs. 9 and 10). Therefore, changes in base level at the basin outlet, e.g. may not be communicated to all parts of the basin until the landslide dam is removed and any accumulated sediment is dispersed downstream (Cui et al., 2003). In cases where landslide-impacted river channels were forced to cut into bedrock, epigenetic gorges and fluvial hanging valleys have evolved (Hewitt, 1998; Korup et al., 2006; Fig. 10A). These landforms attest to the landslide-driven delay or local repetition of fluvial bedrock incision. Absolute age constraints on the inception of such epigenetic gorges are another way to constrain local bedrock incision rates. 3.4. Sediment delivery and retention The geomorphic efficiency, and thus importance, of landslides can generally be characterised by the rate at which they produce sediment, the efficiency of sediment delivery to the channel network, and the total contribution of landslides to the sediment budget. The amount of total sediment produced by landslides within a given catchment is a function of their magnitude and frequency (Crozier and Glade, 1999; Reid and Page, 2002). Sediment production from landslides is often estimated from inventories of small and shallow failures, and averaged rates vary greatly with study area and observation period (Table 1; Fig. 11). However, the contribution of less frequent and larger landslides has so far been less quantified (Lavé and Burbank, 2004). Whitehouse (1983) calculated that, e.g. large (>106 m3) rock avalanches in the central Southern Alps of New Zealand produced debris at an average rate of ~50 m3 km− 2 yr− 1 throughout the Late Holocene, while more recent estimates raise this figure by an order of magnitude (McSaveney, 2002). The frequency of landslides in both space and/or time is increasingly found to be a more or less robust function of landslide magnitude, on 101-yr timescales at least (e.g. Hovius et al., 1997; Brardinoni and Church, 2004). Given such empirical relationships, landslide sediment production may be extrapolated for crude predictions. However, earthquake- or rainstorm-induced landslide episodes often create significant peaks in sediment production with 82 O. Korup et al. / Geomorphology 120 (2010) 77–90 Fig. 6. A. The Karivhoh rock avalanche (V ~ 2 × 109 m3) obliterated >8 km of the Ardon River valley, Caucasus; da = detachment area; ra = rock-avalanche deposit. B. Breached rockslide-rock avalanche dam (V ~ 109 m3), Kokomeren River, Tien Shan, Kyrgyzstan; sd = secondary breached debris dam (photos A and B courtesy of Alexander Strom). C. Rockslide-derived (rd) boulder lag forcing step-pool morphology and local stream-power expenditure, Kyngyrga River, East Sayan Mountains, Russia. Fig. 7. Influence of large rock-slope failures (grey boxes) on steepness index ks and its running mean (black line) of selected mountain river long profiles (grey lines) for an arbitrarily fixed θ = 0.45 (see Eq. (1)). A. Swiss Alps; B. New Zealand Southern Alps; C. Nepal Himalaya; D. Tien Shan. Highest values of ks spatially coincide with former breach channels through rockslide and rock-avalanche deposits. Modified after Korup (2006a), and Korup et al. (2006). O. Korup et al. / Geomorphology 120 (2010) 77–90 83 Fig. 8. Changes to steepness index ks and concavity index θ of 37 river long profiles affected by large bedrock failures in the European Alps, the Himalayas, the Tien Shan, and the New Zealand Southern Alps. Removal of slope–area data points associated with landslides on average decreases ks greater than one standard deviation (error bars), while θ appears to be more robust. Modified after Korup (2006a). respect to the long-term background rate. Such events have historically produced landslide debris of up to 1010 m3 in volume (Keefer, 1999). Also, there remains substantial uncertainty about adequately modelling the extreme ends of the landslide magnitude– frequency spectrum (Brardinoni and Church, 2004). Thus, sediment delivery of landslide material to the drainage network may be considered as a stochastic process in the short-term (Benda and Dunne, 1997; Tucker, 2004). Integrating over longer timescales is a way to overcome this problem. Using a simplistic sediment continuity equation under steady-state conditions of longterm balanced rock uplift rate U and denudation rate D, average sediment discharge qs from a mountain basin may be estimated as qs = ðρr = ρs ÞA D SD ð2Þ where ρr and ρs are mean densities of bedrock and sediment, respectively; and SD is the sediment delivery ratio. Hovius et al. (1997) estimated qs from the western Southern Alps of New Zealand, assuming that SD = 1, and that D was fully accounted for by shallow aseismic landsliding in the montane zone recorded between 1948 and 1986. They managed to upscale the sediment production from individual landslides by using a power-law relationship between landslide frequency and magnitude (Czirók et al., 1997), and estimated D by landsliding to be 9 ± 5 mm yr− 1 (Table 1). Values of SD however vary in different geomorphic settings and through time, such as for regional landslide episodes triggered by earthquakes or rainstorms (Pain and Bowler, 1973; Pearce and Watson, 1986; Owen et al., 1996; Peart et al., 2005). These episodes produce significant spikes in long-term sediment production, although the rate of diffusion of the resulting debris fluctuates significantly, depending, among others, on climate, lithology, and transport conditions. Thus care should be taken when assuming either a general value for SD or a balance between landslide production and sediment export rates. With increasing landslide size, deposit residence time also becomes an issue for sediment delivery. Specifically, many extremely large deposits have remained in mountain landscapes for 104–106 yr. Not surprisingly, some of the oldest dated landslide deposits are reported from arid mountain areas, where erosion rates are low (Strasser and Schlunegger, 2005; Phartiyal et al., 2005; García and Hérail, 2005). Nevertheless, the control of landslide-affected area or mobilised volume on the deposit residence time is largely unresolved. Fig. 9. A. Upstream view of large landslide that blocked the Min Jiang River, Sichuan Province, China, after the 1933 M = 7.5 Diexi earthquake (Chen et al., 1994). The landslide formed a lake that persisted for four months and reached a maximum water depth of 94 m before draining. The Min Jiang has re-incised through the dam. B. Smaller rockfall dam (ld) that formed ~ 5 km upstream of the landslide in (A) during the same earthquake. The Min Jiang has partially re-incised ~ 25 m through the rockfall deposit (bch), but water (bw) and sediment are still impounded behind the dam. C. Upstream view of sediment accumulation in the Min Jiang upstream of the rockfall dam in (B). Note that the valley floor is completely covered by sediment (ag). Backwater aggradation associated with the 1933 landslide dams extends > 15 km upstream from the rockfall dam. 84 O. Korup et al. / Geomorphology 120 (2010) 77–90 Fig. 10. Cartoons summarizing the ways in which landslide dams can influence fluvial processes and landforms on timescales of 100–104 yr. A. Downstream view (height exaggerated); B. Along-profile view. Large river-damming landslides cause temporary sediment storage either upstream (i.e. backwater aggradation), downstream (steep debris fans from catastrophic outburst flooding), or within the landslide-dam deposit (Fig. 10). In the Karakoram Himalayas, individual infilled lake basins dammed by large rock avalanches store up to 1010 m3 of sediment (Hewitt, 1998). Conversely, catastrophic drainage of landslide-dammed lakes disperses up to 108 m3 of sediment during single events downstream (Table 2). Erosional bedrock scour from such hyper-concentrated or debris flows may lead to overestimates in fluvial incision rates. Landslide-derived sediment pulses have considerable, yet rarely quantified, implications for sediment-flux dependent models of river incision (Sklar and Dietrich, 1998; Whipple and Tucker, 2002; Cui et al., 2003), and consequences include changes to transport capacity (Miller and Benda, 2000; Benda et al., 2003; Fig. 10), or landslideinduced channel avulsions (Korup, 2004). Altogether, the contribution to the total catchment or regional sediment flux determines the importance of landslides (Eaton et al., 2003; Lavé and Burbank, 2004; Arsenault and Meigs, 2005). Kirchner et al. (2001) demonstrated that the choice of timescale, which is often a function of the chosen absolute dating method(s), for measuring erosion rates in mountain basins may be crucial. Even when averaged over longer timescales, the contributions of shallow landslides and landslide-related extreme events remain at considerable levels when compared to reported values for sediment yields from mountainous terrain on 100–104 yr timescales (Tables 1 and 2). 3.5. Landslides in landscape evolution models Several numerical models of landscape evolution have attempted to include the process of either shallow or bedrock landslides, mainly through the use of deterministic or rule-based algorithms. The net effects of long-term hillslope sediment transport are often modelled by a diffusive-type equation, in which sediment transport rate qs is a function of diffusivity K, and slope gradient ∇z. To include the effect of shallow landsliding Martin and Church (1997) proposed a surface lowering rate ∂z 2 = ½α + ω∇ z ∂t ð3Þ where α and ω are diffusivities for soil creep processes, and shallow landslides, respectively; and ∇2z is a Laplacian expressing slope O. Korup et al. / Geomorphology 120 (2010) 77–90 Table 1 Rates of estimated mean sediment production from landslides in selected mountain belts. Region Study area Observation Mean sediment Reference (km2) period (yr) production (m3 km− 2 yr− 1) Western Southern Alps, New Zealand Coast Mountains, B.C., Canada Olympic Peninsula, USA Northwest Nelson, New Zealand Cascade Mountains, B.C., Canada Saru River, Hokkaido, Japan Vancouver Island, Canada 2670 39 1900–18,800 San Gabriel Mountains, USA Chugach-St Elias Range, Alaska, USA West Vancouver, B.C., Canada Hawaii, Papua New Guinea–Irian Jaya Queen Charlotte Islands, Canada Central Southern Alps, New Zealand 60–1265 ~ 60 20–550 19 30 480b 6.1–6.7 30 41–404 0.3–277 12–90 4–14,700 24 6–84 70–11,770 6.6–1182 200a 300–2100 38–48 30–53 92–2030 2 30 1000 517–560 30–60 7–555 n.a. n.a. >200 166.7. 40 100 10,000 2000 50d c Hovius et al. (1997) Brardinoni et al. (2003a) Brardinoni et al. (2003a) Pearce and Watson (1986) Brardinoni et al. (2003a) Shimizu (1998) (Martin et al., 2002; Brardinoni et al., 2003a) Lavé and Burbank (2004) Arsenault and Meigs (2005) Brardinoni et al. (2003b) Keefer (1999) Martin et al. (2002) Whitehouse (1983) curvature. Roering et al. (1999) suggested a non-linear relationship between transport rate and slope gradient on steep soil-mantled hillslopes, based on the ratio of resisting and driving forces in hillslope stability K∇z 1−ðj∇z j =Sc Þ2 Table 2 Estimated mean sediment discharge from eroding individual landslides and landslide dams, scaled by upstream catchment area. Location Observation period (yr) Mean sediment Reference discharge (m3 km− 2 yr− 1) Rio Barrancas, Argentina <0.01a >120,000 Tsaoling rockslide, Ching-Shui Creek, Taiwan Mt Adams rock avalanche, New Zealand Pokhara rock avalanche-debris flow, Seti Khola, Nepal Falling Mountain rock avalanche, New Zealand 27 rock avalanches, central Southern Alps, New Zealand Polnoon Burn rockslide, New Zealand Latamrang rockslide, Marsyandi River, Nepal Flims rockslide, Vorderrhein River, Switzerland 2.5 111,100 3 <42,380b ~ 500 22,860 71 16,860 c 2000 2–3870 2050–4050 620–1240 5400 110 8450 28 Hermanns et al. (2004) Chen et al. (2005) Korup et al. (2004) Fort (1987) Korup et al. (2004) Whitehouse (1983) Korup et al. (2006) Pratt-Sitaula (pers. comm.) This study Averaging over longer timescales likely underestimate peak sediment pulses subsequent to dam failure. a Sediment discharge estimated from single dam-break event. b Possibly includes upstream fluvial sediment. c Based on re-calculated 14C dates. order relief, these continuum approaches do not capture the mechanics of bedrock landslides, nor do they allow for discrete or stochastic landslide events. Densmore et al. (1998) used a modified Cullman limit-equilibrium slope-stability model to allow for the probabilistic occurrence of bedrock landslides, in which the probability of failure at any particular node is given by n.a. = not available. a Estimated for 200-yr earthquake recurrence interval. b Three rockslides only. c Modelled long-term production from earthquake-triggered landslides. d Late Holocene rock avalanches >106 m3 only. qs = 85 ð4Þ where Sc is the effective coefficient of friction, and assumed to fully contain all properties of soil shear strength. Although sufficient for modelling the long-term role of hillslope processes in reducing first- pfail = H Hc ð5Þ where H is hillslope height; and Hc (≥H) is the maximum stable hillslope height Hc = 4C sin β cosϕ ρg½1− cosðβ−ϕÞ ð6Þ where C is effective cohesion on the failure plane; β is surface slope; ϕ is effective angle of friction on the failure plane; ρ is rock density; and g is gravitational acceleration. Fig. 11. Averaged rates of landslide sediment production in selected humid mountainous catchments from around the world show considerable scatter with regard to study area and observation period. 86 O. Korup et al. / Geomorphology 120 (2010) 77–90 Other models (e.g. Champel et al., 2002; Dadson and Church, 2005) use similar rules in which hillslope stability is mainly dependent on topography, such as a combination of critical relief or slope values, above which landsliding will always occur, hence inherently assuming relief-limitation by threshold hillslopes. We further note that the Cullman criterion was initially developed for steep soil cliffs prone to failure along tension cracks. Many large landslides however involve deep-seated failure of rock slopes along a rotational failure plane. Although arguably more applicable at the local scale, approaches such as the (simplified) Bishop method or finite-element codes impose substantial problems of upscaling for basin- or orogen-scale models. Similarly, infinite-slope models for probabilistic or spatially distributed modelling of the occurrence of shallow planar landslides have so far seen exclusive use in GIS-based landslide susceptibility and hazard studies (e.g. Wu and Sidle, 1995; Refice and Capolongo, 2002). Few attempts have been made to integrate such probabilistic models of landslide occurrence into models of mountain range evolution due to their inherent limitation to soil-mantled landscapes (e.g. Benda and Dunne, 1997; Casadei et al., 2003). In sum, by treating the bedrock river network as the basis for the spatial distribution of relief in mountain belts, and by adopting a stream power-type approach to network incision, many conceptual models of orogenic topography assume—either explicitly or implicitly— the occurrence of threshold hillslopes. The common alternatives to adapting this concept to numerical landscape evolution models are to • subsume landslides into an effective diffusivity; • apply simple nonlinear diffusive or Culmann-type stability relations to hillslopes; or • take a probabilistic approach, which we feel has not been adequately explored. 4. Open questions and future research needs It should be clear that there is considerable scope for further work in understanding the role of landslides in mountain range evolution. We identify a number of open questions, which may serve as stepping stones for future research directions: Fig. 12. A. Orthophoto of scree-covered slopes (sc) in the eastern Southern Alps, New Zealand. Fluvial incision and undercutting may promote rapid slope adjustment of noncohesive debris slopes, as proposed in the concept of threshold hillslopes (Fig. 1). Image courtesy of Land Information New Zealand (I37 Lake Tekapo 2001/02). B. Headward eroding gully systems (gl) dominated by frequent rill incision and shallow landsliding, Landwasser valley, Swiss Alps, may be another mechanism of maintaining threshold hillslope angles other than bedrock landsliding. 4.1. How widespread are threshold hillslopes and how can they be objectively identified from topographic data? We identify several important points in this regard. First, we see a need for a standard methodology for objectively detecting and quantifying threshold hillslopes in a given mountain belt. So far, data have been compiled only for selected regions, such as the northwestern Himalaya (Burbank, 2002) or the northwestern USA (Montgomery, 2001). If mean slope or slope-angle histograms are indeed used as measures for threshold hillslopes, they will mask effects of variations in hillslope strength, materials, and processes (Fig. 12), and the role of failure-prone or failure-resistant slope segments such as steep inner gorges or slot canyons. In many mountain belts, the preservation of fluvial strath terraces with ages of up to 104 yr as indicators of rapid fluvial bedrock incision (Burbank et al., 1996; Schaller et al., 2005) is somehow at odds with the requirement of rapid slope adjustment by bedrock landsliding, which would likely eliminate such evidence (Fig. 10A). Second, the concept of threshold hillslopes makes no explicit mention of the causes and triggers of landsliding, while simplistically assuming hillslope angle to be the primary control on a static limit equilibrium without any further dynamic loads. Although this may be plausible for many slopes, it has not been sufficiently demonstrated, whereas high-intensity rainstorms, snowmelt, groundwater conditions, or earthquakes may be equally or more important. Lin et al. (2003), for instance, noted that landslides triggered by the 1999 ChiChi earthquake, Taiwan, occurred on slope angles of 40–50°, as opposed to those triggered by preceding rainstorms, which had occurred on slope angles of 20–30°. Third, there may be the need to more rigorously formulate the concept of threshold hillslopes to better explain, for instance, frequent reactivations or precursory creep movement of large landslides (Chigira et al., 2003); toe-thrust failures, where the failure plane of the landslide extends beneath the channel bed; and long-term fluvial transport limitation resulting from landslide damming. Fourth, and most importantly, numerous landslides are known to occur well below the few values cited for threshold hillslope angles. Many large rock-slope failures have initiated on low-angle failure planes away from major river channels (e.g. Philip and Ritz, 1999). The fjords of western Norway, for instance, although not considered tectonically active, form part of a mountain range subjected to substantial rock uplift from postglacial isostatic rebound. Numerous large postglacial rock-slope failures are known to have originated from the steep fjord walls with detachment surfaces that are clearly decoupled from fluvial and marine processes (Blikra et al., 2005). Stress decrease through processes of unloading (and potentially slope debuttressing) is the main cause for large bedrock landslides in this area. In many cases, the failure surfaces of these landslides are planar, thus maintaining slope angles without being influenced by base-level changes. This implies that there is no ultimate need to uniquely couple landsliding and its control on relief to fluvial bedrock incision exclusively. O. Korup et al. / Geomorphology 120 (2010) 77–90 4.2. Geomorphic hillslope–channel coupling and response times Is the response of hillslopes to fluvial undercutting really instantaneous as assumed by the threshold hillslope model? How fast can signals of base-level change at the foot of hillslopes propagate upslope to eventually reach the ridgeline, and hence maintain local relief? What is the potential for upward-migrating hillslope knickpoints to be eliminated by subsequent larger slope failures? Densmore et al. (1997) observed in laboratory experiments that steep toe slopes, which are often interpreted as evidence for increase in tectonic or fluvial process rates in high-relief landscapes, may indeed be one stage of many in the normal hillslope evolution by frequent landsliding. Mudd and Furbish (2005) investigated these questions for soil-mantled hillslopes, but comparable analyses for bedrock hillslopes have not been attempted. One underlying assumption in most studies of mountain range evolution is that the present morphology of the landscape, including that of hillslopes and river channels is a faithful record of long-term conditions of rock uplift, climate, and surface processes. In other words, it is often believed that the response time of hillslopes and river channels is short enough to convincingly preserve evidence of tectonic or climatic forcing and fluvial bedrock incision as the ratelimiting process. There is some debate as to whether, and at what scale, short-term climatic perturbations over e.g. 104-yr timescales are recorded in channel and hillslope geomorphology (Hsieh and Knuepfer, 2001). Distinctive periods of Holocene alluviation, possibly associated with a strengthened Himalayan monsoon, are likely causes for disequilibrium conditions over 104-yr timescales (Pratt-Sitaula et al., 2004; Pratt et al., 2004). However, the problem remains of whether all of these perturbations will be recorded in the landscape, and whether possible recorders are interpreted correctly. Without a clear separation of climatic from tectonic triggers of synchronous regional-scale slope instability (Crozier et al., 1995), it remains speculative to infer changes in palaeoclimatic or seismic regimes from landslide evidence alone (Pratt-Sitaula et al., 2004; Bookhagen et al., 2005). One possible explanation of these uncertainties is the occurrence of time lags in the geomorphic response of channel and hillslope morphology. For example, Miller et al. (2001) demonstrated that the 87 present morphologies of upland rivers in central Nevada are still largely influenced by debris fans that accumulated during Late Holocene periods of enhanced hillslope activity. 4.3. Landslide sediment production and delivery What are the spatial and temporal variabilities in landslide sediment input? At issue here is not just the stochastic nature of sediment supply (Benda and Dunne, 1997), or the volume of sediment input, but also the sediment calibre or grain size distribution. Both volume and calibre are important in determining the likelihood of protecting or armouring the bed, and the availability of tools for river incision (Sklar and Dietrich, 2001, 2004). What are the quantitative mismatches between landslide sediment supply and channel sediment transport, and the implications for temporal changes in sediment storage? In other words, how coincident are sediment supply to the channel network through landsliding, and sediment removal from the network by fluvial processes? This issue, which has been only briefly explored in orogens like Taiwan (Hovius et al., 2000) and New Zealand (Pearce and Watson, 1986), has large implications for the residence time of sediment in a channel network and for temporal changes in sediment storage within a mountain belt. 4.4. Effects of landslide location What is the effect of landslide location on landscape form? Do landslides cluster in parts of the landscape that allow their triggering mechanisms to be elucidated, as hypothesised by Densmore and Hovius (2000)? Can magnitude–frequency distributions of landslides be ‘read’ as a record of landslide behaviour, or the relative importance of large or small events, in a given mountain topography (Stark and Hovius, 2001)? For instance, Iwahashi et al. (2003) observed a Weibull distribution and a power-law distribution of slope angles, and size frequency of active landslides in central Japan, respectively. They suggested a slider-block-spring model as a possible mechanistic cause to link landslide process and form. Fig. 13. Approximation of relevant timescales of geomorphic feedback between landslides and river channels in tectonically active mountain belts (*assuming repeated valley glaciations). 88 O. Korup et al. / Geomorphology 120 (2010) 77–90 5. Conclusions The notion that fluvial bedrock incision in response to tectonic uplift controls hillslope development has dominated recent models of mountain range evolution. It is an appealing concept that aims to integrate geomorphic hillslope–channel coupling, climate, and tectonic fluxes over a range of timescales. Yet the concept is partly at odds with the recognition that landsliding as a frequent erosional process in many active mountain belts occurs not exclusively in response to fluvial slope undercutting. Earthquakes, rainstorms, and exceeded internal stress thresholds cause and trigger large relieflowering bedrock landslides not influenced by river processes. Moreover, these rock-slope failures mobilise sufficient material to block drainage networks, cause significant valley-floor aggradation, decrease in local relief, and stepped river profiles. Such landslide-driven disturbances are mostly effective on 100– 104 yr timescales and do not necessarily conflict with those of mountain range evolution (i.e. 106 yr; Fig. 13). However, they clearly demonstrate the potential for a more dynamic equilibrium in fluvial process rates and landforms. Hence, care should be taken when analysing the present topography, landforms, and process regimes in order to infer long-term rates of uplift and erosion. Quite conversely, such medium-term disequilibrium effects fill in nicely between shortterm process studies and long-term models of mountain belt evolution on <101 and >105 yr timescales, respectively. Therefore, one way to reconcile the observations of landslides as both active and passive geomorphic agents in mountain belt evolution is to investigate and quantify in more detail the role of landscape disequilibrium and the possibility of nonlinear relationships for upand downscaling of process rates between varying timescales (Kirchner et al., 2001; Fig. 13). Recognising these and other shortcomings, we present a number of unsolved questions as possible stepping stones for future research to better elucidate and quantify the role of landslides in mountain range evolution. Acknowledgements We thank Guest Editors Mike Crozier and Thomas Glade for inviting us to contribute to this Special Issue, Alexander Strom and Johannes Weidinger for kindly providing photos to some of the figures. The comments of Profs. Denys Brunsden, Jiun-Chuan Lin, and Mauro Soldati helped to clarify aspects of an earlier manuscript. References Arsenault, A.M., Meigs, A.J., 2005. 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